The decimal value of this prime was computed with calc and the English name was computed with number.
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581,887,266,232,246,442,175,100,212,113,232,368,636,370,
852,325,421,589,325,781,704,480,584,492,761,707,442,316,428,281,349,423,376,
942,979,071,335,489,886,655,517,752,224,731,316,967,316,601,101,080,371,457,
923,021,838,436,917,492,197,333,394,648,729,851,218,665,756,323,673,512,565,
202,964,097,437,803,696,250,542,088,744,968,273,344,617,858,384,022,131,920,
787,583,935,917,496,283,612,402,707,082,209,797,985,800,006,635,414,921,583,
881,775,901,175,855,244,421,937,156,984,065,294,070,824,916,668,433,336,287,
290,654,803,493,450,648,643,707,818,608,236,480,157,480,359,745,219,707,507,
173,734,977,384,814,523,731,184,368,200,564,270,648,717,597,756,654,478,727,
288,872,431,916,344,358,766,382,062,118,229,667,496,087,869,810,535,788,260,
544,601,094,919,298,182,471,920,835,982,201,714,594,815,305,146,917,008,039,
554,371,406,033,688,111,728,698,594,673,434,146,841,287,309,501,252,881,443,
609,648,619,246,434,446,853,335,817,940,499,494,202,254,526,499,749,808,188,
056,692,363,870,593,931,331,056,739,450,745,849,450,277,316,474,966,160,322,
027,442,349,131,540,208,118,957,135,902,079,744,021,522,752,754,410,608,517,
535,971,119,064,781,752,630,429,345,628,744,193,783,801,749,630,971,264,807,
914,259,080,410,922,868,814,577,971,460,035,564,308,409,253,605,033,745,118,
455,302,325,995,061,101,029,556,088,468,152,923,453,944,567,513,115,971,101,
951,928,937,637,144,779,012,290,161,103,331,391,922,577,580,675,238,958,268,
548,708,573,587,817,743,205,427,542,507,472,121,692,438,861,800,948,887,268,
291,056,360,482,092,590,642,566,707,632,963,665,110,010,434,750,569,940,797,
382,431,639,453,690,186,507,352,301,072,743,156,788,765,570,872,474,010,539,
739,405,980,072,272,054,605,833,870,468,457,713,721,741,015,675,265,776,235,
000,340,602,155,527,718,732,812,862,860,944,521,088,174,890,705,446,428,307,
971,755,518,113,633,494,603,601,856,894,876,928,835,347,281,639,178,984,919,
110,780,726,014,790,277,439,607,381,805,241,647,432,368,802,300,562,435,076,
418,026,302,288,973,578,516,119,634,291,940,482,113,290,673,941,393,178,528,
593,756,849,203,226,880,659,406,454,427,100,157,555,271,491,620,423,143,695,
015,705,037,432,178,528,714,555,482,770,511,310,912,860,477,578,851,134,457,
316,112,765,262,422,068,091,479,207,143,285,463,758,604,862,509,625,992,917,
222,532,016,658,436,759,344,727,712,591,930,779,801,256,069,808,006,338,873,
157,569,278,881,054,846,383,064,095,093,968,500,555,103,240,831,111,087,590,
755,633,918,410,530,972,874,042,254,127,720,741,519,984,119,535,670,285,969,
034,723,174,041,409,205,758,285,377,616,441,546,112,046,627,125,596,058,461,
600,437,198,047,360,186,732,310,070,287,881,532,733,789,311,462,398,702,520,
907,750,494,578,814,029,529,277,004,521,185,166,504,999,936,271,847,158,478,
924,319,020,211,684,481,101,115,918,500,129,348,957,695,996,468,234,792,730,
106,345,748,302,893,529,952,342,455,422,961,925,890,476,451,299,379,374,498,
627,853,681,271,253,047,356,700,531,500,292,261,367,796,400,626,731,316,069,
153,704,233,142,082,193,862,609,917,347,526,032,617,639,829,439,629,238,156,
297,176,154,008,879,727,874,922,451,539,228,552,328,142,178,053,198,207,260,
612,585,863,314,859,070,303,886,172,592,700,574,906,811,620,520,328,542,965,
479,719,193,942,078,520,465,447,487,893,637,379,173,668,921,509,382,102,520,
425,799,104,864,668,248,372,456,614,452,295,761,175,459,262,234,451,159,403,
424,866,260,893,604,065,184,936,417,136,049,340,379,609,925,097,780,151,587,
143,821,456,501,015,893,227,287,496,185,481,472,735,202,213,199,315,902,420,
553,258,790,549,420,680,489,898,961,649,072,312,121,650,674,991,882,818,219,
490,449,321,993,886,978,391,151,876,023,068,592,352,413,176,125,984,505,849,
726,528,868,775,733,183,537,761,776,317,886,157,770,960,150,912,300,773,747,
553,733,508,999,627,892,074,561,318,815,480,995,009,627,050,066,077,717,797,
439,349,770,815,213,382,038,225,295,309,892,204,012,005,819,468,026,400,280,
390,131,872,733,937,309,528,476,930,034,832,552,729,673,175,275,028,450,065,
683,406,939,082,358,529,639,117,261,436,011,482,537,510,387,526,088,528,914,
965,333,851,800,249,512,056,878,585,016,217,445,087,135,426,584,359,954,435,
477,333,116,448,916,201,855,234,713,534,028,718,225,671,120,606,189,751,560,
045,036,594,648,225,064,870,898,179,873,139,329,990,138,236,500,043,689,922,
222,681,773,937,127,872,233,289,278,879,166,744,272,804,147,032,734,390,672,
817,034,463,161,656,664,643,119,724,769,815,507,917,389,168,974,454,638,113,
922,600,291,342,829,864,594,262,445,334,610,353,489,452,490,111,954,858,666,
349,987,476,834,992,232,786,994,132,032,886,367,722,334,027,867,187,868,977,
354,579,424,057,379,693,462,385,576,299,019,352,693,090,376,724,673,083,839,
977,348,612,131,251,251,357,646,494,956,850,351,445,030,932,490,685,093,474,
990,293,649,074,740,802,107,971,763,201,875,436,960,061,423,869,307,996,062,
330,271,371,646,605,065,818,026,024,259,569,451,070,343,456,915,672,026,347,
222,540,999,873,433,895,229,396,378,654,849,420,953,851,958,884,656,367,172,
630,285,292,445,508,834,460,288,108,903,115,263,099,247,299,397,392,261,995,
788,440,588,237,891,545,825,496,336,812,151,463,226,097,312,894,216,561,035,
034,142,572,942,205,081,410,582,926,963,194,922,077,177,155,502,934,783,218,
701,431,211,820,762,321,766,935,423,171,467,069,001,050,034,491,867,504,841,
593,719,001,822,118,384,863,961,195,047,869,539,964,938,425,115,857,120,785,
113,691,315,009,059,038,959,468,688,837,033,593,874,982,714,557,224,958,192,
020,683,408,163,876,872,553,917,045,149,097,103,059,082,274,886,570,051,836,
662,575,361,223,131,340,846,754,476,839,403,697,201,296,241,622,505,563,864,
938,864,225,151,836,165,844,105,521,221,571,274,318,425,195,881,782,790,546,
504,061,811,142,556,611,335,251,002,785,430,499,422,987,087,949,113,467,906,
518,509,258,858,690,689,299,708,690,914,872,945,644,134,474,542,915,196,067,
882,342,866,997,857,441,461,255,605,744,643,238,479,534,620,844,881,457,643,
315,167,834,642,488,451,611,939,328,123,022,696,850,946,775,976,369,174,622,
340,237,585,865,157,185,257,317,692,962,753,252,317,455,714,271,099,319,057,
464,232,297,422,799,265,681,498,643,423,470,974,011,939,643,659,780,914,117,
259,436,418,262,618,607,726,332,286,816,440,828,520,176,853,685,178,535,255,
464,229,811,322,524,244,206,467,181,071,948,100,041,064,562,461,358,064,418,
334,077,450,522,300,750,468,121,801,655,796,127,693,483,508,155,004,743,709,
485,455,329,683,474,045,711,375,076,510,696,253,630,007,265,196,947,147,198,
607,487,299,673,321,557,997,098,258,470,298,944,084,698,102,518,845,731,219,
883,796,779,647,076,828,937,150,301,275,773,907,742,037,652,363,243,107,419,
101,949,605,013,930,103,436,063,949,483,741,467,592,265,081,370,831,678,559,
785,247,462,502,187,142,650,767,481,894,642,128,976,491,801,381,554,991,429,
074,296,815,790,354,173,372,848,383,362,514,317,340,552,244,674,969,210,422,
693,385,562,267,586,238,641,958,226,417,811,230,162,064,005,283,935,632,562,
345,509,955,435,374,867,555,881,333,940,070,044,578,390,900,853,480,024,979,
631,297,796,995,566,158,768,774,255,715,140,578,055,002,497,469,075,160,223,
860,594,653,224,704,336,841,424,486,891,572,092,222,344,877,007,446,226,519,
838,484,856,739,208,651,492,978,183,282,518,839,974,851,151,383,749,492,680,
546,576,936,191,769,198,616,254,678,842,085,851,007,905,494,392,739,766,873,
738,641,887,721,160,178,691,247,626,096,068,382,320,837,619,505,503,266,615,
449,816,747,894,051,498,697,074,085,986,000,798,904,839,565,070,033,338,902,
984,440,548,577,143,842,897,479,747,770,186,522,712,834,954,948,476,736,244,
127,652,072,313,232,046,924,794,103,418,969,880,933,024,687,831,580,706,254,
934,284,772,450,237,947,186,883,952,319,564,215,526,490,148,946,581,323,306,
718,787,302,843,333,590,834,299,832,571,865,003,713,148,919,655,336,778,154,
255,755,572,809,384,578,889,575,898,536,609,223,267,560,640,799,989,281,457,
167,146,411,650,521,012,083,591,332,387,399,707,735,342,169,019,226,252,315,
330,010,299,599,803,545,705,788,391,163,870,599,590,592,080,848,746,078,785,
190,704,684,527,859,461,309,231,685,286,193,054,736,727,967,362,771,993,513,
310,993,675,189,662,271,284,617,093,723,141,948,670,879,730,384,810,959,171,
110,987,151,773,546,012,229,675,953,049,966,459,691,807,501,119,725,703,610,
562,534,397,414,849,993,356,717,273,051,934,879,695,895,857,269,399,948,461,
963,594,676,450,526,718,950,058,294,087,355,736,130,436,398,613,048,481,676,
470,762,129,942,721,139,435,321,612,548,400,389,277,143,228,439,235,850,671,
693,598,797,712,729,805,514,243,611,865,574,943,736,409,456,794,711,123,795,
192,817,992,617,319,129,224,965,990,297,064,273,656,325,633,458,630,726,936,
237,595,413,052,581,757,887,043,680,005,746,908,151,457,714,769,868,335,574,
473,258,839,182,368,046,726,248,067,601,454,746,037,859,086,818,812,421,392,
838,147,283,710,089,312,621,653,155,083,454,760,545,083,775,291,824,586,756,
023,093,534,351,024,746,370,403,345,530,099,155,496,671,251,311,295,170,416,
133,949,314,977,484,121,804,591,343,898,814,024,437,944,390,063,851,360,248,
801,487,085,825,815,199,970,653,863,742,513,608,401,740,617,270,942,542,913,
085,598,366,612,880,617,262,917,800,535,124,982,920,273,962,638,052,608,650,
128,689,401,711,508,405,773,120,128,130,201,339,648,143,121,728,892,589,170,
795,352,950,425,987,133,085,351,390,538,757,104,652,800,240,882,453,185,558,
559,240,676,480,940,931,328,306,029,321,165,856,823,321,036,896,847,695,345,
491,447,073,989,355,112,286,955,658,423,312,537,602,661,592,943,664,426,900,
644,142,903,034,083,380,462,836,116,761,244,788,099,369,406,418,818,091,718,
687,670,615,592,130,581,732,609,417,653,201,125,953,420,042,789,073,263,535,
044,782,838,000,008,725,655,124,439,666,035,385,829,633,626,870,958,912,803,
350,165,921,146,418,056,933,959,500,074,283,757,125,232,084,346,373,790,442,
011,369,645,228,321,591,804,972,662,988,970,204,299,801,625,998,964,681,018,
023,113,222,035,074,467,742,114,135,837,459,280,089,620,352,467,190,400,970,
383,817,209,686,284,881,340,721,492,247,225,772,240,596,621,262,966,119,721,
362,664,672,262,463,176,727,354,024,248,997,006,987,245,389,310,072,825,607,
785,425,273,324,866,539,288,294,450,952,251,906,949,920,526,198,300,725,517,
729,212,571,121,414,804,126,437,985,677,219,858,760,811,704,257,908,511,476,
515,032,458,623,432,162,455,054,571,791,406,693,129,237,755,762,599,355,756,
100,879,555,987,816,985,750,855,958,251,407,848,312,455,646,026,100,797,610,
849,882,963,541,880,913,011,642,560,174,570,175,804,368,721,278,086,164,902,
916,651,760,572,904,711,265,051,873,772,263,454,741,036,354,314,578,256,498,
358,547,628,592,109,359,979,064,569,924,075,256,106,190,847,970,843,866,016,
562,838,828,725,549,441,735,421,971,393,904,137,609,505,642,155,769,379,110,
739,930,566,619,532,396,789,182,855,282,138,541,081,173,644,914,424,741,074,
484,302,067,264,881,713,414,797,271,416,564,778,899,647,876,239,619,846,473,
827,878,598,282,948,763,858,348,437,984,211,743,288,193,649,146,717,469,854,
642,938,543,814,805,102,608,157,961,626,133,930,755,572,220,364,136,945,754,
224,707,653,316,325,664,309,992,703,459,329,499,062,758,397,562,105,856,251,
887,172,974,831,111,313,189,521,042,533,361,309,061,693,487,450,247,109,312,
606,987,443,955,984,787,225,276,361,909,442,568,689,256,408,895,881,461,813,
443,569,093,583,432,331,425,849,413,112,760,546,208,107,997,643,858,677,512,
903,423,622,917,379,153,862,329,252,658,708,129,370,915,534,382,541,737,638,
507,193,825,992,684,684,648,512,202,801,491,300,035,301,929,885,525,030,466,
049,662,647,916,842,693,485,266,718,697,511,146,431,611,417,986,203,580,384,
054,191,747,190,420,769,190,049,520,212,857,410,354,499,330,093,241,105,017,
385,008,853,570,388,437,704,265,722,899,186,138,802,521,612,162,457,292,870,
967,737,632,189,142,340,122,500,276,141,170,287,583,621,257,688,298,370,412,
088,078,299,360,480,247,032,527,530,323,789,145,766,197,538,473,246,512,310,
506,346,008,862,594,795,628,611,393,144,464,254,265,197,799,015,951,386,281,
991,008,614,096,608,755,780,514,297,550,607,880,697,509,624,435,487,311,387,
737,900,331,945,992,932,745,564,013,057,496,789,861,596,613,809,334,420,954,
531,412,595,550,010,137,727,985,536,088,885,731,243,815,798,083,908,635,129,
294,608,135,522,411,315,692,521,728,120,194,674,949,877,381,655,818,497,105,
224,018,651,992,713,100,259,118,496,807,201,555,747,098,410,329,537,135,118,
609,074,307,016,720,233,242,774,307,329,664,686,740,303,908,902,866,661,251,
347,812,062,736,807,548,914,856,476,648,331,184,645,194,184,925,531,537,923,
622,874,606,835,693,969,293,761,332,371,673,342,573,457,683,926,571,330,754,
504,248,194,380,675,929,993,084,510,410,761,825,229,370,748,231,527,214,814,
678,370,285,343,486,587,275,629,154,775,645,194,267,893,006,136,606,763,691,
035,051,884,156,091,055,748,849,224,502,562,155,369,993,697,191,899,273,566,
341,446,228,906,025,407,536,622,598,935,738,399,262,717,906,191,571,137,985,
766,730,137,424,302,003,930,010,652,385,901,569,494,551,528,663,732,450,326,
646,813,511,165,862,168,735,478,975,646,268,686,003,621,631,149,129,095,346,
285,963,288,753,551,599,940,993,307,257,489,731,732,787,171,300,937,443,852,
471,553,301,654,119,066,217,215,381,835,506,033,397,494,624,624,207,935,780,
706,729,742,690,411,912,814,151,409,415,101,278,112,755,114,067,460,656,861,
338,831,984,234,714,356,233,387,742,656,352,395,456,209,349,744,858,696,661,
917,181,009,970,260,924,424,417,432,592,334,388,830,821,279,536,049,483,556,
730,188,694,462,630,737,274,041,293,734,709,996,266,747,410,951,975,353,325,
382,354,499,314,105,565,318,055,016,412,144,968,918,264,394,101,303,300,199,
074,675,071,257,999,338,833,675,852,789,612,925,392,397,104,262,221,324,171,
325,556,026,410,811,202,105,592,479,780,476,739,609,692,979,480,114,245,955,
930,858,073,093,773,673,974,428,195,111,128,254,533,822,769,503,006,444,758,
780,904,134,321,275,931,138,072,968,071,657,686,814,756,997,684,869,248,721,
793,624,620,978,825,660,872,778,578,395,741,166,818,679,268,432,247,457,416,
166,464,273,705,930,401,171,791,985,055,026,181,385,257,614,207,982,322,980,
621,676,406,508,185,766,827,960,710,085,130,919,603,595,239,520,491,640,290,
935,512,385,207,185,300,383,846,105,363,010,743,636,781,369,684,635,011,618,
352,402,461,664,575,313,367,009,363,642,948,686,739,843,855,543,749,397,668,
063,665,886,726,396,413,430,380,955,378,214,266,964,611,405,080,728,155,840,
141,102,566,733,304,141,517,034,477,316,180,228,284,644,334,221,572,347,980,
456,550,291,620,703,780,654,104,835,383,097,276,427,927,418,334,550,344,908,
738,387,971,763,359,406,667,260,031,210,771,024,763,384,000,451,603,246,889,
848,046,359,719,686,273,969,725,769,836,523,580,760,012,433,358,076,394,614,
274,635,487,231,109,427,309,520,407,952,677,773,506,576,819,971,966,998,016,
526,054,176,847,866,102,102,061,105,864,317,872,386,952,146,846,081,691,615,
519,092,417,693,073,446,923,690,965,468,275,582,487,402,094,896,039,447,498,
684,109,203,697,821,211,155,011,717,024,415,166,131,251,332,210,530,765,380,
894,604,545,436,062,885,082,973,988,700,290,904,523,812,976,416,001,545,560,
970,905,459,254,830,054,225,452,682,645,181,450,791,435,766,952,003,104,723,
577,314,373,930,450,708,078,578,936,871,825,323,461,024,576,499,645,573,810,
939,989,411,928,729,940,867,509,852,690,684,692,720,066,012,088,643,336,214,
513,412,554,071,827,075,931,522,521,625,870,114,390,690,632,754,580,578,485,
255,835,958,232,505,595,456,245,462,491,399,917,480,886,148,172,400,656,579,
312,448,543,794,345,579,401,858,426,817,467,817,061,757,106,662,352,708,895,
064,242,871,843,403,042,754,482,967,480,157,916,829,902,829,032,475,038,704,
502,438,695,602,193,859,187,355,274,776,373,644,959,475,092,538,577,813,357,
833,379,617,545,615,830,396,872,382,649,288,410,072,367,293,217,212,656,705,
597,573,117,732,818,881,715,769,505,561,761,565,038,166,201,586,823,024,878,
017,323,885,929,060,877,147,200,777,911,119,036,076,673,578,906,925,241,811,
265,425,745,460,022,118,361,963,200,278,382,592,738,131,982,772,006,179,593,
598,261,238,118,880,550,680,969,753,387,264,878,462,536,848,842,150,761,529,
745,329,578,256,422,391,821,389,929,490,865,864,200,258,494,110,890,084,887,
601,737,244,237,482,210,290,383,864,552,717,276,610,073,804,916,806,406,935,
822,792,708,091,750,681,296,182,535,872,660,338,026,026,432,523,887,820,049,
935,517,792,821,815,585,351,367,474,421,330,959,961,996,511,343,527,198,213,
288,988,305,601,456,430,550,888,892,227,619,212,047,558,303,154,205,911,471,
603,765,121,128,362,797,842,745,592,283,303,875,699,171,820,257,012,085,700,
867,468,274,986,875,429,650,352,318,050,406,851,452,897,663,136,416,365,980,
877,443,110,051,535,117,872,886,034,355,751,167,052,234,203,159,280,700,363,
671,669,961,885,835,328,174,983,967,325,598,111,492,482,508,215,677,009,465,
708,342,282,233,244,666,494,122,066,372,754,530,307,712,308,662,459,636,489,
758,265,356,823,014,793,367,696,121,229,058,213,809,408,169,231,506,394,482,
492,804,442,867,146,385,484,125,417,209,698,574,119,962,183,431,180,401,776,
941,487,715,851,534,080,318,561,405,478,846,725,411,352,842,841,390,890,611,
507,513,087,890,126,549,945,138,081,208,899,942,997,747,182,096,122,177,635,
946,243,101,081,911,052,027,785,205,464,337,213,976,514,316,483,076,456,774,
738,454,241,300,103,824,078,092,452,142,205,614,812,501,681,723,084,100,077,
274,445,061,578,726,749,953,821,029,225,800,578,624,145,139,087,356,554,272,
601,749,275,936,228,283,443,375,054,983,192,122,287,034,224,867,634,186,409,
080,058,165,193,560,337,463,816,422,062,504,223,657,183,721,106,800,858,107,
749,007,347,851,982,625,711,313,983,044,529,513,174,059,036,060,329,646,761,
324,785,088,002,811,062,446,579,322,496,482,809,711,750,061,604,319,524,207,
137,746,503,041,239,115,210,232,444,573,558,740,758,272,764,010,995,129,890,
488,342,127,583,395,495,978,263,057,384,110,863,801,634,636,035,893,189,288,
383,841,180,806,399,619,862,124,199,650,011,444,963,015,573,378,568,471,748,
562,366,392,651,566,338,038,347,654,670,970,560,252,694,614,464,455,242,355,
038,228,511,014,802,917,863,885,759,485,129,051,690,777,267,442,725,017,708,
965,260,877,968,362,569,431,149,599,980,576,584,489,638,804,960,887,044,294,
998,915,418,389,535,199,845,574,928,254,600,552,606,002,275,293,951,019,221,
049,921,043,669,434,108,514,512,124,773,772,538,472,696,800,372,291,325,330,
239,081,762,695,299,817,779,161,857,700,911,027,685,836,066,463,982,410,430,
778,654,778,159,068,426,409,347,069,677,169,571,490,885,277,217,542,880,047,
625,550,857,042,701,637,445,040,269,197,493,336,360,402,623,569,409,662,949,
426,806,049,909,786,071,950,372,619,238,150,236,422,385,632,079,078,707,104,
531,487,974,380,547,871,244,419,979,318,152,145,823,610,709,372,748,791,058,
780,407,997,132,412,885,646,286,289,934,257,874,332,236,962,948,738,217,090,
008,493,977,605,057,147,793,957,040,567,925,299,429,833,586,774,209,203,228,
879,768,687,297,424,296,009,991,508,076,619,204,074,494,071,928,408,467,018,
836,042,515,009,719,571,776,299,099,550,618,559,559,635,292,708,114,013,131,
111,734,144,577,444,301,803,382,305,572,453,238,601,686,441,799,370,240,980,
085,611,957,529,913,667,756,968,782,703,421,868,186,399,908,647,330,829,439,
028,688,084,110,235,527,993,914,006,142,484,401,279,978,293,023,514,716,321,
159,983,379,181,658,190,976,430,279,534,265,626,674,266,228,985,034,717,487,
921,384,584,571,589,765,642,776,096,104,736,013,503,772,599,140,595,409,919,
578,756,230,429,500,682,011,908,660,428,932,851,556,833,396,117,908,779,269,
319,778,750,017,264,649,558,578,802,269,606,999,342,802,006,075,241,400,175,
510,245,690,753,938,020,874,661,243,024,572,316,010,097,841,448,571,440,354,
536,823,745,325,777,254,580,113,395,582,322,164,019,777,313,968,664,240,808,
947,511,226,064,030,971,117,621,586,883,901,334,059,009,051,244,232,389,893,
549,312,107,947,052,819,645,124,572,766,746,487,764,667,934,611,658,873,552,
969,727,356,589,816,902,125,405,552,739,417,754,709,005,893,091,431,246,930,
449,826,898,491,377,771,024,016,691,613,307,292,097,907,066,107,245,397,373,
894,498,458,281,041,795,401,708,635,088,588,026,352,630,803,579,551,445,211,
243,481,294,251,827,603,029,893,327,742,563,224,073,602,609,919,721,165,391,
432,538,403,254,524,421,132,898,626,220,897,188,924,706,558,264,196,909,887,
249,089,613,142,048,026,599,504,472,772,053,777,848,629,565,896,358,081,904,
697,544,884,374,069,908,130,918,928,793,206,157,090,931,822,397,013,642,121,
191,325,366,448,766,103,420,822,810,900,781,064,289,750,719,285,548,315,420,
198,119,150,238,422,314,483,112,932,369,381,230,762,983,087,232,372,747,047,
954,920,102,199,408,390,434,636,344,796,436,757,756,929,616,560,201,305,041,
481,893,345,913,104,156,269,758,009,104,544,238,139,907,301,308,759,811,887,
910,949,394,843,381,620,611,416,875,816,251,077,654,380,933,286,566,097,023,
256,822,430,160,029,326,677,976,355,052,901,020,448,997,548,250,295,391,788,
728,903,735,734,952,742,364,313,510,130,441,801,538,797,069,594,204,168,471,
286,088,068,384,399,141,727,000,346,366,840,433,242,941,178,500,535,326,546,
022,237,069,780,613,266,769,006,738,708,887,287,579,632,827,514,653,446,070,
450,784,760,640,622,423,085,364,262,610,650,320,300,946,137,381,431,960,208,
146,338,759,551,908,121,056,572,392,152,107,189,389,699,572,601,494,173,792,
809,943,180,756,248,539,007,550,989,163,760,299,485,010,024,013,776,459,894,
041,500,698,575,958,313,710,334,039,291,990,256,835,837,691,145,260,438,432,
657,028,695,118,650,151,906,065,153,901,688,190,493,642,432,224,862,025,086,
106,653,479,133,399,856,656,385,237,647,086,181,308,338,244,577,072,226,219,
835,611,644,275,703,170,845,005,645,397,376,091,715,997,535,859,727,075,814,
661,345,318,694,734,841,922,699,744,172,733,735,143,486,261,099,486,673,676,
633,040,156,179,477,965,990,901,577,496,188,698,685,567,079,773,362,323,557,
964,445,090,225,571,883,980,157,614,926,437,952,055,158,817,292,919,002,840,
276,928,478,215,743,200,224,033,664,244,888,690,541,092,225,419,367,142,639,
497,431,913,142,314,701,598,004,115,022,741,045,795,885,880,746,745,883,651,
523,128,297,973,844,062,454,160,924,660,386,935,868,085,734,783,798,149,632,
357,644,354,818,356,953,960,038,616,673,785,182,920,879,282,162,617,827,087,
285,464,046,036,597,550,828,873,648,977,857,659,626,828,242,386,313,193,702,
872,663,806,808,835,833,146,716,734,270,651,312,558,167,010,482,476,859,862,
141,875,752,707,565,799,018,170,835,337,899,318,475,281,964,411,288,846,910,
723,050,297,388,643,579,024,138,374,392,110,149,851,203,792,235,454,579,367,
525,100,374,872,796,320,009,098,283,059,256,059,893,853,797,660,714,001,948,
582,040,269,426,185,365,215,293,426,544,340,670,550,372,349,384,017,892,342,
891,081,471,518,467,333,681,276,080,140,631,601,276,741,724,089,110,974,254,
091,024,789,258,218,307,096,679,683,213,641,124,619,453,473,693,939,370,674,
525,963,480,086,715,183,173,420,059,489,721,429,496,597,521,163,165,952,682,
156,763,599,811,109,044,779,889,927,058,096,827,370,847,565,036,087,159,052,
600,133,566,818,479,215,004,108,556,308,592,877,276,430,867,488,960,905,343,
145,873,451,249,265,605,863,355,344,334,131,747,024,676,324,765,332,389,063,
221,939,987,767,656,705,019,485,605,535,921,448,382,118,141,602,274,607,516,
005,299,995,823,128,719,191,070,897,559,849,900,143,220,904,962,551,643,237,
361,131,546,259,390,088,462,829,784,325,907,489,997,387,675,315,000,134,341,
996,877,247,350,596,240,324,248,883,972,052,828,672,949,124,306,440,336,299,
307,425,890,804,632,949,621,386,560,643,087,795,240,335,540,360,703,464,225,
441,937,508,642,147,449,188,971,903,393,884,780,018,188,943,875,857,043,525,
173,540,647,163,498,117,534,357,516,112,748,791,937,866,932,948,875,052,389,
445,910,917,856,141,255,208,563,860,098,363,166,688,396,368,633,768,737,893,
546,506,418,827,683,781,284,011,343,708,382,547,459,634,456,472,949,238,482,
574,917,272,370,568,717,478,292,567,625,064,102,894,669,927,253,572,569,363,
468,622,424,839,521,247,771,241,736,564,691,291,714,132,074,729,538,541,284,
483,794,883,479,967,942,414,039,930,965,064,376,176,073,886,817,740,312,363,
895,956,770,944,606,777,285,414,351,259,107,241,970,929,488,337,777,421,413,
263,881,122,298,284,341,709,466,410,285,361,420,615,895,651,004,531,502,907,
000,900,220,432,308,753,833,255,842,993,203,549,026,730,120,718,870,566,974,
569,792,525,395,100,615,433,950,858,080,812,802,016,169,065,314,324,612,759,
775,001,058,078,678,037,240,388,548,991,016,520,945,509,362,882,740,159,755,
838,760,416,155,229,134,405,098,452,874,836,060,364,267,378,954,491,086,214,
657,497,654,789,983,765,861,096,725,474,356,161,512,013,961,667,648,148,851,
922,320,944,404,000,862,044,899,224,337,385,065,774,145,582,438,390,269,249,
427,672,481,999,202,795,474,215,532,633,403,706,254,043,777,270,623,738,645,
242,065,436,235,820,243,442,549,491,325,697,922,760,858,908,542,321,702,128,
257,207,236,501,105,256,902,207,762,896,886,081,879,285,349,375,872,459,844,
188,967,209,641,364,925,474,512,321,510,212,843,202,737,648,703,669,953,539,
156,107,448,696,697,989,272,781,729,267,612,256,772,571,304,562,064,335,084,
997,794,312,828,170,155,096,091,018,736,599,108,791,160,024,115,217,946,897,
383,542,072,025,730,661,209,352,715,389,499,898,730,392,150,947,856,136,281,
546,964,341,146,000,375,503,115,736,641,517,877,033,983,894,711,576,417,523,
707,832,157,474,901,872,209,080,166,776,563,040,246,196,976,697,421,359,464,
926,609,488,966,441,604,626,850,172,511,996,406,304,568,758,027,387,118,239,
328,302,345,309,935,039,569,394,227,132,368,683,382,964,336,209,453,262,866,
656,370,351,829,357,686,863,181,805,543,223,909,997,886,048,453,344,198,638,
702,442,731,634,983,246,900,156,415,444,371,933,623,280,507,644,429,157,528,
813,421,926,920,790,318,362,277,237,285,126,149,241,782,948,960,419,956,311,
312,509,571,052,844,858,427,513,520,019,137,889,197,507,288,357,301,256,049,
020,195,296,370,394,133,834,645,734,004,397,593,720,162,062,546,443,912,791,
855,409,172,869,710,532,922,165,945,835,770,260,162,712,805,681,691,436,985,
688,044,367,081,629,909,061,893,097,333,304,836,987,774,041,510,903,307,949,
692,240,594,569,240,534,491,987,371,156,093,304,853,938,289,875,812,451,960,
317,279,738,704,465,523,050,354,299,772,546,673,491,049,910,550,518,942,234,
723,246,361,313,735,520,634,860,353,270,751,943,869,571,005,194,703,943,160,
081,285,003,984,997,530,532,957,403,645,524,839,600,195,106,332,602,076,386,
258,088,847,133,089,723,278,711,544,629,011,865,288,541,125,249,034,923,573,
568,834,818,052,962,251,456,851,023,687,029,154,060,833,869,085,990,610,723,
372,897,430,603,366,740,426,493,576,525,346,863,832,516,497,701,198,358,584,
124,774,073,211,501,390,239,300,506,633,172,666,248,233,537,455,043,018,130,
362,487,613,893,111,731,195,465,640,901,737,955,161,437,619,612,716,898,541,
125,064,804,352,944,669,204,843,665,006,845,656,168,241,601,248,018,008,806,
936,872,278,549,270,766,910,775,335,328,540,220,899,237,670,616,933,129,531,
667,327,639,358,184,051,495,473,161,949,126,892,234,148,681,291,296,597,235,
716,692,307,104,108,126,569,775,127,122,971,841,996,858,299,647,908,835,038,
907,497,301,266,133,526,935,625,821,694,134,726,545,480,235,728,939,570,072,
453,020,243,690,045,677,015,259,417,312,368,141,249,637,761,239,804,171,448,
357,440,480,121,065,710,729,651,914,397,987,266,647,845,454,257,378,416,094,
559,794,994,160,542,705,557,854,993,797,028,867,970,986,246,653,287,876,365,
226,669,940,527,335,009,770,124,371,329,426,968,395,615,969,517,774,578,763,
041,500,545,280,751,980,822,296,228,720,270,647,204,813,142,523,973,460,475,
945,766,113,544,438,928,713,946,860,534,648,470,667,911,054,763,018,606,252,
556,590,727,815,938,565,022,424,556,650,452,865,167,710,309,409,311,919,847,
345,493,453,867,466,845,213,651,919,632,632,630,693,288,637,528,642,671,429,
409,362,145,297,240,246,811,085,338,855,627,440,994,228,085,864,832,903,370,
686,555,275,297,842,951,940,276,882,749,321,746,699,901,816,562,653,728,265,
622,325,933,735,925,006,096,146,339,359,171,460,333,233,463,400,312,144,556,
817,163,801,032,620,701,898,113,330,275,370,442,109,579,648,916,721,576,078,
842,190,372,942,065,173,116,291,270,119,762,671,590,443,510,252,866,076,151,
785,581,503,404,152,969,799,355,862,771,444,562,799,303,536,449,551,701,386,
802,401,319,298,930,646,811,847,146,972,784,437,944,638,055,693,611,313,557,
014,801,095,265,272,128,575,520,392,151,534,177,466,933,208,089,313,161,363,
956,662,614,449,279,622,199,475,299,185,055,223,852,243,194,939,465,833,938,
771,251,358,391,548,255,977,484,237,014,063,578,975,935,382,657,538,992,701,
633,733,052,936,163,961,001,867,766,238,960,137,165,621,690,681,018,246,205,
453,294,301,991,201,374,519,561,288,361,392,173,653,799,599,611,645,714,545,
441,031,472,847,247,871,339,670,350,858,346,775,905,786,102,283,150,293,402,
429,990,694,048,202,725,161,938,700,032,960,008,889,981,487,421,109,139,852,
520,583,780,400,763,891,158,071,890,713,626,612,117,242,079,905,737,992,028,
132,644,859,587,055,698,295,155,484,524,850,155,184,405,576,719,140,289,441,
941,293,585,144,792,200,291,179,515,792,149,796,450,983,729,563,061,160,031,
832,306,571,894,945,652,538,416,681,505,231,506,931,712,959,602,555,609,068,
812,809,107,639,024,571,635,061,975,424,978,956,667,573,346,862,133,166,105,
462,515,048,991,942,065,152,154,835,800,139,230,055,784,367,960,323,370,080,
874,436,625,123,726,578,927,288,873,029,261,284,647,523,852,060,609,366,559,
567,575,643,034,630,929,750,650,689,218,685,554,153,231,153,533,641,164,804,
952,057,289,513,628,961,187,141,984,919,520,860,438,584,368,967,515,560,079,
560,686,505,587,443,967,081,782,128,541,267,226,174,552,795,647,152,184,416,
756,645,058,977,038,211,183,052,086,950,666,373,992,168,508,604,055,095,042,
418,860,132,002,217,133,857,756,417,952,151,908,616,966,756,625,812,345,539,
584,081,630,893,941,140,066,117,219,325,591,614,572,091,778,842,646,820,892,
073,709,568,783,106,222,787,436,214,585,108,176,332,049,048,933,418,649,759,
968,169,769,497,887,204,953,081,651,032,318,578,309,117,268,539,406,020,447,
684,361,859,946,221,835,900,244,431,130,445,531,876,384,960,995,060,762,653,
728,040,530,675,858,756,878,693,278,974,748,128,383,208,669,863,419,721,579,
812,046,920,943,616,963,356,323,604,758,933,515,444,857,692,506,661,510,909,
560,434,394,093,391,631,063,803,840,468,044,480,055,200,778,576,731,367,042,
011,654,560,610,822,640,203,715,516,330,253,046,386,656,432,616,737,358,262,
706,698,664,523,906,995,553,789,585,439,335,741,086,842,198,758,941,456,900,
936,417,600,178,254,277,504,333,068,114,423,289,390,723,514,789,718,200,912,
320,134,403,464,874,858,296,341,173,331,369,042,617,547,311,775,400,620,368,
513,863,610,856,979,852,139,736,887,059,242,541,950,206,525,091,842,361,105,
181,975,457,816,284,418,360,528,042,063,110,857,548,460,463,718,539,635,185,
125,011,151,807,707,089,735,428,549,871,317,006,121,615,920,504,366,631,577,
230,385,801,321,438,482,661,720,270,423,342,909,339,637,484,127,720,802,112,
270,722,274,984,084,200,276,088,938,321,035,990,963,340,414,827,620,580,787,
030,443,976,744,820,964,605,300,762,306,298,376,566,644,298,333,448,727,925,
523,802,548,837,112,403,055,794,546,972,713,965,668,905,323,562,658,837,780,
863,311,783,555,683,695,074,842,722,709,068,314,874,476,105,210,103,974,358,
867,809,788,256,817,813,944,693,406,882,027,446,225,621,972,559,149,575,083,
215,375,868,659,693,831,967,128,625,563,465,546,157,438,341,144,699,099,286,
020,860,458,950,025,593,360,683,267,020,782,075,360,111,997,250,407,417,699,
404,354,496,538,951,082,278,497,451,610,170,262,601,088,322,352,532,217,148,
295,011,828,841,391,442,897,833,890,547,673,007,312,379,434,770,738,519,791,
543,036,637,966,668,550,133,422,911,474,704,321,065,432,592,158,179,869,353,
372,994,786,161,057,518,642,237,331,182,527,336,676,211,257,646,641,383,054,
940,548,030,526,901,392,245,241,354,499,355,316,293,568,044,177,584,553,202,
690,469,662,290,674,827,380,758,452,806,351,333,514,900,210,104,068,852,312,
372,946,725,515,454,646,767,515,851,579,228,652,298,740,443,218,445,616,078,
064,500,415,493,539,662,166,163,741,804,342,224,902,274,426,475,303,912,612,
429,044,016,281,149,611,342,773,416,214,145,396,315,536,332,129,014,433,443,
247,084,377,348,133,076,924,334,970,813,656,156,505,879,085,705,197,631,133,
241,659,478,146,560,109,614,138,719,635,005,774,368,020,184,082,917,185,014,
067,211,296,009,670,598,803,991,626,953,800,719,000,797,891,843,949,094,640,
008,753,886,315,068,967,024,392,641,346,497,236,666,059,612,925,151,759,355,
366,787,013,954,689,203,709,386,617,754,300,786,187,814,470,933,807,565,013,
915,274,548,370,112,890,359,830,721,480,429,272,112,964,869,157,276,048,615,
358,646,452,948,429,379,369,843,400,916,251,937,640,772,267,007,722,715,029,
897,524,504,888,956,084,454,157,881,560,125,052,369,581,708,398,846,249,728,
243,168,994,048,699,034,704,498,364,441,061,576,204,799,438,079,447,933,454,
409,501,755,612,537,278,106,802,666,825,713,630,469,260,992,454,651,875,014,
705,085,603,339,292,898,670,595,614,125,210,833,669,176,920,045,758,148,026,
643,987,645,251,980,490,208,025,658,013,786,801,153,453,370,372,703,136,508,
790,768,742,566,536,425,397,293,295,714,932,606,159,689,928,411,055,193,292,
976,314,392,938,394,061,568,467,551,029,384,443,027,388,983,903,412,354,409,
156,495,763,022,468,650,759,095,978,578,369,369,295,475,283,171,394,915,014,
590,078,906,709,736,397,840,213,999,290,953,473,136,462,331,689,294,299,366,
746,580,298,866,726,765,996,586,473,660,709,807,954,963,849,767,586,950,201,
724,844,038,842,313,450,138,908,021,120,360,238,922,986,168,370,809,687,218,
902,226,194,994,958,914,172,743,073,550,009,537,957,122,230,842,453,766,066,
555,502,735,532,134,333,009,288,268,270,437,103,506,423,470,794,417,893,144,
473,838,571,893,016,541,884,853,693,718,609,953,455,705,803,021,430,538,940,
917,475,610,832,526,763,482,609,330,663,619,959,270,248,391,441,279,406,653,
664,241,308,932,681,717,059,007,510,650,092,667,834,566,924,573,174,550,102,
366,105,670,299,556,900,039,478,125,493,825,162,625,320,054,478,649,230,796,
474,291,438,505,664,500,240,580,835,062,348,386,517,965,191,740,737,191,229,
026,650,901,620,762,556,331,931,186,119,815,530,232,019,600,439,830,594,676,
505,162,980,435,310,607,327,620,131,135,566,399,027,289,686,704,211,529,723,
031,907,206,879,591,137,875,424,828,168,783,758,664,092,554,691,267,482,670,
148,016,588,403,250,823,471,313,770,174,061,044,034,271,004,824,343,917,392,
744,187,247,504,704,724,533,740,519,993,420,684,473,027,865,525,536,637,656,
647,292,653,943,881,789,209,525,175,186,195,002,735,618,796,011,502,473,486,
797,973,544,679,501,737,177,871,143,179,270,244,628,873,263,325,163,651,256,
105,750,064,492,377,480,315,482,139,056,355,877,915,393,638,161,593,944,192,
610,854,384,615,451,532,343,685,139,401,846,980,473,077,689,457,978,602,343,
906,415,454,904,694,794,456,152,880,826,348,480,022,629,133,399,038,935,321,
699,026,777,229,579,623,828,477,897,862,790,101,129,188,550,424,304,227,047,
399,382,523,178,016,777,403,981,638,017,823,510,080,937,022,897,493,719,171,
067,532,661,760,395,661,671,788,685,840,088,557,247,736,381,948,688,112,743,
910,034,857,438,669,905,499,437,201,754,503,545,704,181,352,425,277,285,110,
164,654,437,521,723,393,135,660,165,602,605,908,033,204,533,615,126,076,784,
825,739,706,482,564,448,204,919,887,719,199,104,068,845,167,480,353,143,859,
307,194,697,141,162,738,942,990,397,307,131,365,836,282,596,665,438,025,492,
250,556,648,147,597,789,931,897,626,922,815,611,269,231,608,181,560,020,260,
955,723,304,519,969,192,864,596,671,030,974,688,054,449,809,186,002,316,122,
081,214,182,331,373,004,062,926,909,698,996,009,701,384,302,210,112,534,498,
712,721,541,048,902,757,232,675,795,113,003,961,602,097,663,192,277,076,981,
879,332,260,667,711,692,564,084,061,948,559,487,908,089,346,951,959,326,531,
711,786,346,745,679,895,644,458,280,304,061,865,197,494,808,244,609,628,834,
737,416,603,878,550,379,184,138,744,013,525,523,227,209,636,383,506,013,120,
487,592,290,071,218,002,851,378,323,898,707,244,147,703,167,641,253,772,431,
193,327,015,898,230,133,869,341,273,786,152,613,158,467,194,266,394,949,020,
540,884,072,654,605,044,371,462,127,899,696,477,961,056,243,815,103,604,614,
682,663,735,905,819,969,567,723,229,908,060,537,528,016,864,024,704,612,594,
080,900,485,451,930,077,438,909,860,480,016,431,223,679,366,910,347,142,593,
869,969,351,502,499,490,283,829,975,662,131,823,604,066,996,251,174,362,940,
818,640,713,170,369,917,194,518,555,318,107,400,396,680,374,241,162,910,598,
511,654,591,299,338,393,334,632,878,467,328,115,316,584,989,067,947,160,911,
920,703,821,726,784,068,982,667,227,483,365,928,504,685,215,364,311,196,094,
102,591,081,144,279,182,491,718,270,376,851,794,664,205,963,496,632,663,621,
607,708,320,492,423,722,612,264,477,823,631,355,405,327,141,775,965,104,467,
462,356,676,740,685,412,372,131,723,968,429,907,331,769,652,041,941,315,437,
831,864,434,779,115,796,435,448,685,097,047,369,377,847,231,975,966,938,730,
018,416,285,212,646,304,174,271,952,335,767,453,159,910,062,807,649,836,836,
110,526,201,979,788,886,233,167,331,255,553,103,754,289,032,757,348,093,154,
896,464,538,073,982,471,188,205,989,411,203,618,327,458,565,454,997,332,893,
578,151,486,093,638,878,996,656,804,014,167,152,754,118,353,047,364,665,462,
521,420,928,265,378,350,497,910,408,915,548,865,571,496,660,004,925,940,364,
905,516,945,781,467,943,530,272,165,049,331,555,265,284,511,445,427,877,968,
373,900,774,166,794,689,413,354,140,201,978,853,430,189,409,408,428,296,896,
392,081,657,766,862,838,231,200,658,684,377,377,621,907,422,670,466,462,161,
936,916,575,476,621,265,759,004,118,949,646,390,380,259,436,171,610,749,095,
353,224,343,536,753,417,890,119,215,586,059,819,249,402,999,299,921,817,160,
861,324,475,675,559,170,982,412,725,582,500,989,706,559,171,420,775,505,066,
037,441,675,565,062,876,679,471,486,828,547,137,266,326,536,862,150,246,498,
852,478,366,716,334,765,996,499,947,797,446,672,931,899,407,981,811,882,643,
001,425,843,155,714,231,480,611,188,746,547,504,831,913,217,127,036,456,231,
476,329,980,671,019,279,923,318,073,136,331,073,350,175,540,774,551,974,859,
244,082,839,137,317,448,903,679,531,480,227,323,337,539,748,846,440,129,291,
954,010,975,649,616,535,593,695,667,254,275,365,570,702,185,927,870,112,094,
083,800,166,859,642,524,254,118,844,389,172,247,011,950,899,474,742,644,050,
778,945,057,578,397,102,178,312,562,678,982,654,696,731,511,825,607,459,185,
374,167,429,640,393,105,120,022,528,304,705,245,333,975,436,732,404,547,496,
382,634,964,373,801,714,088,734,683,943,291,136,241,918,073,153,995,967,763,
238,250,698,642,385,204,781,948,776,603,193,790,274,703,476,681,134,068,908,
051,624,987,573,979,907,709,838,628,513,807,297,739,168,380,889,833,463,448,
879,191,533,899,187,514,523,165,445,666,671,807,339,316,172,522,256,738,044,
167,408,201,720,735,623,985,515,191,614,958,046,199,910,784,400,048,323,783,
387,609,678,181,250,836,463,828,269,880,801,220,075,726,080,450,987,266,543,
132,772,195,335,815,559,239,319,964,004,627,757,778,448,311,211,622,652,531,
213,618,698,236,556,058,685,678,115,381,211,794,932,924,950,785,333,084,743,
007,796,291,345,732,888,316,179,447,329,302,283,529,115,173,189,070,785,884,
187,505,954,017,025,614,910,263,130,502,904,207,670,909,457,908,725,373,185,
771,473,806,049,473,984,985,495,200,342,985,436,507,839,370,539,745,246,237,
780,257,115,852,211,186,846,638,862,309,421,610,433,147,813,038,827,143,012,
181,767,186,606,531,671,349,911,671,912,539,172,965,720,294,902,659,643,891,
315,925,215,549,323,294,623,862,288,991,103,586,571,046,907,589,267,576,029,
994,077,381,108,243,594,795,800,805,360,413,488,686,648,813,445,544,906,805,
024,594,122,972,553,207,322,526,473,928,184,715,258,733,876,434,039,683,382,
222,656,935,025,339,319,042,165,910,425,856,483,788,401,556,704,058,173,289,
360,936,664,523,339,720,945,307,225,847,768,856,631,661,174,388,564,306,717,
527,244,739,051,595,239,999,986,662,307,683,027,814,847,991,731,794,244,100,
877,459,039,021,394,617,481,671,613,412,903,442,097,487,995,313,614,992,790,
801,408,425,085,623,718,317,951,252,717,538,831,206,463,420,098,893,439,045,
570,517,915,512,946,582,359,895,631,247,813,869,427,413,536,034,774,869,798,
907,213,045,144,685,416,490,471,643,664,893,631,052,006,261,108,138,507,363,
742,593,650,111,516,235,817,083,055,907,034,540,507,041,277,868,733,289,381,
915,472,541,472,973,407,990,501,672,134,108,669,061,467,517,667,035,724,530,
707,728,643,282,700,481,084,335,705,237,302,189,925,343,425,370,579,554,039,
697,465,931,145,194,430,085,919,450,808,406,231,938,004,650,683,869,972,268,
342,933,877,238,644,869,971,368,538,245,398,618,198,167,884,029,923,830,083,
212,144,210,622,147,754,949,126,944,770,244,765,120,329,104,395,571,173,161,
354,625,689,727,984,411,460,910,155,993,089,979,208,147,089,166,035,164,141,
033,662,602,620,544,712,636,223,523,320,555,528,529,214,885,259,769,353,355,
572,659,709,237,736,794,910,805,422,802,978,096,072,291,129,686,854,464,854,
849,192,472,834,157,530,769,354,530,576,474,620,480,299,635,553,861,856,621,
081,140,820,769,758,913,954,413,686,535,696,669,390,954,373,970,834,394,074,
848,709,219,630,014,201,480,333,667,721,062,955,443,584,607,285,731,183,068,
978,151,757,963,974,168,974,104,604,365,115,106,676,554,978,313,085,792,368,
966,604,933,291,065,631,928,507,607,129,328,185,891,288,379,458,755,425,045,
772,132,397,659,786,586,303,294,965,217,683,038,832,024,080,477,525,250,466,
014,190,534,015,110,890,956,833,877,873,159,752,938,979,008,314,100,408,274,
342,889,070,854,237,183,699,465,923,254,140,392,663,976,861,056,901,967,269,
563,633,373,300,065,075,922,862,330,520,581,346,831,997,357,467,672,366,004,
223,273,368,508,454,019,614,255,203,925,978,142,534,328,389,677,249,593,500,
193,381,343,185,696,838,987,223,606,062,676,152,702,115,250,590,555,252,593,
519,352,926,276,596,478,357,808,470,808,642,265,023,278,008,244,629,251,791,
725,756,612,285,867,240,159,274,477,329,703,939,342,296,057,897,203,280,703,
516,433,540,959,465,747,477,544,130,610,035,978,477,706,606,846,023,481,654,
563,842,956,445,879,105,374,990,146,512,567,020,447,064,619,053,739,686,326,
344,687,682,898,916,655,060,633,031,938,579,371,572,291,583,899,286,794,787,
813,299,383,811,182,452,518,650,993,434,498,214,354,312,519,445,846,342,480,
234,813,664,325,498,222,132,886,372,086,441,835,150,326,396,039,920,345,569,
187,845,162,649,964,669,895,906,279,648,090,787,691,696,300,606,627,739,189,
171,443,831,441,893,735,409,032,182,233,366,979,843,534,646,323,856,650,109,
377,134,068,758,924,668,984,599,502,602,452,789,433,811,417,724,892,956,430,
435,802,647,654,604,733,740,403,804,992,302,706,253,649,616,213,800,370,878,
769,811,811,844,526,000,251,979,210,710,650,908,340,301,977,733,760,686,781,
092,702,856,065,067,407,142,848,474,031,614,316,941,377,815,113,907,664,706,
689,602,690,768,791,672,929,126,755,463,183,205,329,305,758,628,003,713,971,
184,843,547,299,442,794,093,351,590,483,539,560,945,714,393,048,513,603,727,
420,410,452,774,028,173,095,156,555,577,657,363,844,985,644,691,598,140,676,
659,066,653,269,875,611,907,429,187,319,541,215,924,506,518,548,492,574,015,
545,711,116,353,788,644,672,710,475,974,995,773,376,814,419,148,917,395,564,
462,117,232,788,125,814,083,088,817,002,653,809,374,492,884,546,746,892,193,
356,752,278,561,623,915,159,936,161,441,850,477,528,092,391,546,468,373,013,
237,272,446,652,586,848,843,344,661,739,233,323,071,584,842,326,004,826,808,
560,027,069,724,445,806,869,550,382,344,942,130,526,610,488,350,530,618,547,
583,533,992,430,945,472,071,152,438,270,372,469,200,340,380,700,092,917,392,
986,120,035,402,612,280,714,547,192,619,882,657,738,159,382,553,111,407,932,
813,230,313,222,470,690,656,516,502,146,141,285,716,636,045,541,932,937,230,
610,372,728,628,988,219,663,642,967,165,841,695,320,530,472,040,670,781,091,
470,074,795,344,275,632,311,095,323,122,538,856,944,333,613,917,899,727,156,
139,450,102,844,814,612,735,160,495,785,947,877,269,651,991,904,074,808,080,
709,798,951,572,068,076,803,977,251,480,540,867,118,778,502,414,062,503,558,
735,677,887,150,137,001,441,542,785,017,255,069,654,222,499,614,013,371,102,
577,527,123,481,965,607,792,799,656,043,928,611,012,991,648,765,787,798,094,
075,498,692,339,985,337,370,573,010,699,088,309,272,115,959,382,225,487,855,
045,095,404,268,650,071,602,936,018,131,815,946,023,225,312,080,031,242,659,
466,307,617,034,383,048,712,717,627,895,291,530,782,023,255,610,557,685,399,
898,240,391,958,358,659,341,892,601,525,598,079,649,135,201,758,322,237,896,
992,364,426,376,715,971,472,164,723,062,694,840,045,635,606,259,364,239,749,
331,739,359,942,871,562,633,065,176,778,719,777,230,019,396,479,215,462,080,
412,857,988,901,603,088,271,997,654,340,113,389,949,314,864,277,947,751,489,
768,173,406,683,998,254,293,696,638,938,232,441,089,082,890,532,899,917,466,
702,973,227,829,551,614,730,423,807,021,533,331,102,289,821,683,569,382,186,
274,963,432,426,665,794,626,707,380,278,378,497,796,186,356,760,429,744,506,
057,750,784,833,021,878,850,679,822,647,755,701,091,275,292,526,694,733,177,
938,692,078,919,831,376,982,853,882,073,106,674,685,415,459,308,948,669,690,
794,464,811,549,692,484,150,167,736,539,903,158,102,871,175,995,959,413,011,
326,636,883,810,774,140,423,091,450,946,439,330,223,457,001,208,136,784,625,
676,028,175,638,367,277,906,795,901,366,229,887,941,975,320,746,704,136,263,
715,114,696,184,322,161,585,317,946,662,295,608,011,425,842,919,734,186,693,
528,974,925,312,746,712,612,729,112,019,261,480,455,621,244,595,854,569,073,
116,456,851,727,069,506,307,093,287,761,954,099,908,753,692,684,792,821,364,
509,439,219,997,138,422,798,044,110,004,495,683,705,103,232,495,038,062,744,
239,879,733,259,173,086,130,106,089,499,360,769,463,290,740,519,557,282,499,
559,564,499,005,962,660,320,062,083,745,286,113,998,429,534,978,804,701,190,
866,212,537,875,149,682,436,923,395,827,100,072,010,659,309,362,047,548,561,
425,958,845,317,771,181,840,221,642,889,592,230,202,233,525,068,076,387,397,
010,119,389,346,442,928,262,247,174,437,621,501,825,752,429,506,540,947,030,
535,191,041,182,267,465,930,223,579,459,045,609,902,943,007,515,016,727,013,
983,341,697,585,122,237,317,288,949,571,992,820,871,788,974,177,106,392,606,
860,838,964,908,976,756,581,823,111,944,596,905,124,569,545,431,821,478,392,
681,932,164,652,202,680,226,904,625,985,009,562,685,185,233,343,453,177,694,
624,431,995,635,036,165,339,436,574,063,646,322,501,032,353,438,556,367,082,
932,726,701,857,576,065,361,748,584,021,808,843,793,284,754,747,555,162,510,
993,551,960,291,069,681,006,581,248,166,401,779,546,396,958,206,672,650,858,
333,598,916,364,217,400,430,609,732,070,306,811,770,822,397,374,047,100,376,
135,652,572,929,467,358,000,523,141,143,379,687,960,120,301,487,816,237,176,
588,111,354,806,530,911,216,204,454,705,761,401,522,608,860,406,627,371,128,
248,972,792,280,155,736,866,856,174,001,988,181,321,159,671,797,820,825,529,
065,106,821,346,088,975,910,383,359,801,974,186,365,650,421,011,070,902,731,
284,050,582,427,580,992,301,418,211,821,719,046,204,146,998,441,006,489,147,
389,122,146,374,794,457,787,836,809,668,523,780,347,676,570,732,232,416,772,
426,862,196,641,844,995,852,108,661,868,133,168,692,151,484,594,147,185,970,
300,324,451,831,047,157,572,490,376,890,944,253,128,429,642,297,902,064,851,
168,235,170,472,339,171,593,396,784,674,238,315,893,310,965,879,347,537,689,
070,210,859,063,281,857,580,244,106,250,487,317,952,184,174,405,351,249,619,
953,590,207,637,464,116,508,367,279,379,290,980,931,603,261,811,315,233,098,
266,614,411,289,787,979,553,890,726,464,719,551,082,852,179,730,125,561,253,
018,554,400,773,082,969,079,429,709,481,155,996,192,433,361,067,437,924,900,
348,669,470,498,883,074,890,382,840,629,562,325,025,663,690,889,220,309,048,
736,643,555,990,319,277,456,442,209,022,441,856,269,236,529,596,535,823,120,
076,292,398,838,734,919,864,975,180,239,734,601,253,641,799,877,595,420,466,
006,222,136,968,265,918,825,111,143,008,848,513,932,524,074,630,919,021,328,
754,389,878,687,623,227,868,220,441,059,885,998,260,606,600,799,639,591,158,
851,240,956,702,768,972,294,004,019,814,702,505,235,682,800,480,275,252,522,
343,132,511,702,720,423,721,338,560,395,672,867,119,568,745,874,330,708,272,
206,368,642,107,319,331,200,166,045,336,453,687,737,504,355,576,590,049,010,
604,298,307,154,072,571,189,303,832,799,329,781,084,449,648,901,726,505,300,
286,794,672,067,960,440,049,032,475,813,778,914,895,638,896,884,666,168,770,
734,948,925,465,733,210,864,684,335,856,651,097,167,635,113,277,392,733,583,
115,414,446,416,565,331,073,924,571,987,290,362,710,378,617,943,989,088,946,
604,695,204,474,599,914,344,349,683,771,588,247,132,882,916,972,044,731,908,
486,626,872,647,291,997,151,690,164,733,978,422,054,396,801,698,501,795,434,
275,674,035,563,269,708,028,158,124,623,942,492,127,649,550,681,053,821,427,
353,852,871,637,711,667,649,499,097,040,892,537,423,567,796,486,059,635,706,
455,628,701,774,358,789,374,067,888,936,720,324,294,784,815,830,661,184,271,
849,842,515,144,699,168,987,631,101,821,437,980,367,736,008,204,296,825,470,
617,744,661,462,220,140,996,947,382,419,864,861,523,726,601,180,158,737,980,
297,454,524,860,797,684,639,896,121,377,344,591,724,703,847,370,106,331,294,
553,991,352,421,366,007,517,317,028,870,161,241,656,283,858,828,759,647,193,
826,896,906,088,793,877,306,228,242,741,414,855,353,163,287,612,916,280,977,
314,447,956,067,247,335,611,961,462,835,191,018,252,230,240,546,122,052,079,
390,643,191,956,378,502,965,695,800,962,394,992,828,087,857,722,487,231,116,
264,901,331,371,869,933,059,025,657,063,139,359,826,689,655,939,285,823,780,
496,038,722,656,178,926,537,201,501,266,473,265,871,904,685,771,694,711,686,
743,526,828,736,479,115,284,272,101,750,832,571,814,295,103,153,185,508,878,
970,380,597,719,222,390,686,722,607,022,323,289,724,254,762,183,280,628,955,
807,452,125,384,922,262,651,459,666,398,291,542,714,327,289,526,547,854,615,
594,214,380,187,696,773,709,167,765,647,911,067,948,030,039,754,748,833,150,
911,470,118,519,308,418,131,781,219,800,411,742,072,825,802,874,432,873,415,
669,978,751,048,110,314,557,559,041,233,058,483,161,349,650,164,165,594,024,
220,251,441,041,147,675,342,385,016,292,067,409,858,397,795,339,969,516,935,
039,369,802,837,473,112,310,743,291,622,207,756,298,616,820,145,408,850,563,
645,734,996,424,202,518,199,108,958,662,473,943,243,833,309,086,546,847,075,
874,386,666,480,993,836,086,057,232,111,929,493,635,863,900,119,372,037,253,
374,648,485,889,373,574,810,276,740,706,103,881,265,788,613,079,028,834,132,
044,699,051,809,740,921,760,951,900,363,686,437,913,776,516,000,784,356,357,
619,119,828,822,545,315,425,012,851,031,780,383,685,237,122,417,787,305,857,
544,657,804,396,860,843,621,687,652,834,965,997,820,744,020,903,148,882,258,
978,805,894,424,743,049,002,847,917,294,592,983,811,049,177,470,230,421,954,
145,303,203,372,882,572,084,593,698,358,943,353,792,878,934,770,408,741,151,
580,874,211,223,758,528,628,070,697,900,126,298,002,431,050,639,500,534,316,
443,557,458,439,096,344,399,834,977,029,851,649,684,416,221,522,182,716,496,
885,373,622,446,222,258,908,983,112,194,729,594,433,437,172,702,366,291,919,
821,070,744,966,358,453,902,682,965,589,766,627,513,249,795,159,066,921,630,
613,446,147,444,561,395,337,599,912,173,389,763,032,769,142,488,575,996,426,
533,338,032,125,694,397,930,368,321,475,819,817,591,314,194,083,156,223,338,
562,215,156,336,317,193,211,060,849,171,838,397,163,201,076,369,126,704,103,
231,052,665,491,231,891,878,484,273,219,811,612,626,274,250,984,250,588,075,
579,593,712,079,583,173,679,674,164,360,430,277,923,183,200,313,709,957,662,
770,399,717,767,170,327,059,575,965,136,525,894,286,152,305,107,363,404,020,
931,708,131,257,456,062,552,456,807,718,400,638,810,251,579,219,236,640,908,
616,655,628,356,627,552,811,360,960,498,099,164,316,302,100,647,668,733,969,
310,169,044,731,345,430,262,492,582,096,209,975,614,833,284,839,308,868,692,
609,388,621,967,452,141,708,020,019,403,762,519,211,791,554,437,246,832,550,
595,928,981,848,070,981,956,129,375,139,951,973,830,107,909,361,724,967,693,
717,901,420,398,383,450,950,980,397,578,473,385,509,130,211,245,300,786,224,
243,109,264,477,142,335,313,347,270,669,626,397,682,434,748,048,026,322,808,
237,984,771,567,223,414,787,095,931,669,054,307,339,398,291,770,211,361,032,
577,118,288,001,101,016,294,090,500,111,379,147,013,807,380,684,533,664,747,
164,503,029,833,670,607,493,244,575,116,594,307,147,504,001,580,649,690,681,
611,348,285,979,035,362,978,892,202,683,557,726,178,400,303,823,968,050,311,
097,278,428,142,175,630,241,255,199,078,228,066,802,578,179,432,417,525,662,
263,447,202,463,310,875,455,269,547,244,870,435,083,288,051,826,390,604,975,
353,646,138,718,658,120,506,498,042,214,227,429,223,847,636,757,193,237,969,
559,689,353,605,835,102,572,567,029,195,835,819,384,570,746,624,671,196,571,
493,986,612,973,897,788,942,519,488,395,455,420,836,655,082,029,229,394,616,
975,523,051,240,572,604,712,597,560,310,321,994,502,162,399,241,269,694,525,
471,035,356,234,799,664,928,958,032,388,942,017,043,137,483,124,883,354,187,
285,782,611,863,071,209,921,369,733,559,661,022,136,753,355,621,648,367,934,
067,349,617,192,456,058,428,131,994,836,745,624,266,937,814,426,585,421,123,
448,620,176,446,432,063,191,341,175,118,639,581,556,271,154,185,549,776,932,
817,569,732,211,671,034,599,857,547,468,403,827,565,047,014,455,535,482,908,
737,018,955,966,081,518,119,708,253,370,398,407,357,111,906,045,046,876,157,
742,279,593,812,912,760,707,577,153,837,751,136,030,326,753,556,919,298,922,
349,282,311,916,327,174,934,805,645,007,279,881,644,590,184,617,246,781,712,
183,114,693,155,291,973,479,744,671,860,136,693,720,189,840,947,043,533,856,
746,490,135,368,727,794,558,585,477,997,559,228,589,237,329,526,029,246,699,
153,349,355,866,700,243,853,677,048,244,792,427,423,205,502,540,220,665,666,
805,008,003,549,719,500,912,924,885,346,962,271,914,527,589,715,145,621,571,
852,533,431,659,155,924,293,567,204,023,195,105,426,812,042,819,959,143,673,
924,456,215,747,903,794,687,252,982,687,542,539,982,337,606,851,318,185,245,
178,351,585,117,811,873,987,286,912,142,194,544,565,830,036,393,551,310,879,
807,627,250,432,661,212,465,844,050,459,616,398,553,197,740,869,292,190,571,
771,579,010,700,031,968,060,156,848,878,752,243,550,234,161,035,336,677,540,
013,654,688,318,877,239,143,344,402,109,876,493,925,928,687,909,376,521,182,
814,620,659,293,966,280,534,565,003,881,816,719,960,184,542,066,899,962,618,
637,624,167,123,386,951,459,770,552,134,100,324,810,249,937,663,325,355,760,
783,068,726,406,706,697,607,841,607,903,504,845,614,987,784,000,046,235,545,
313,242,692,920,899,950,467,518,857,290,315,368,176,345,709,199,111,460,812,
288,724,990,732,112,717,003,908,997,507,659,407,871,361,981,588,621,629,108,
764,854,575,744,886,560,939,929,373,392,821,772,614,603,088,043,003,265,408,
764,967,457,984,736,469,603,683,955,555,722,392,355,231,932,650,857,490,193,
314,970,485,192,664,906,457,604,943,210,085,983,400,007,830,069,902,917,544,
099,067,147,970,686,527,422,965,634,429,998,867,709,461,421,111,701,743,758,
031,408,483,117,939,372,445,158,892,581,239,378,401,454,016,208,679,614,193,
061,945,505,321,030,507,077,457,386,560,345,232,073,257,435,433,810,629,112,
570,761,289,950,777,009,061,933,211,343,107,523,148,239,515,553,505,200,550,
271,941,436,868,654,982,141,004,797,409,499,848,504,535,804,245,762,523,402,
957,653,447,956,529,150,874,257,545,090,824,128,943,435,679,701,802,950,278,
434,876,028,497,639,782,274,980,190,476,782,903,851,221,611,190,779,902,546,
039,062,896,854,752,032,035,477,334,154,984,805,661,719,245,559,234,457,619,
606,477,203,061,729,023,802,104,817,182,066,306,009,245,615,455,783,123,994,
815,737,964,632,515,677,223,927,806,312,418,035,244,665,571,384,847,770,263,
193,593,097,633,325,807,663,159,320,714,836,928,409,961,765,166,421,333,265,
245,675,663,289,929,351,488,120,849,188,500,195,293,994,524,168,874,642,208,
748,454,402,576,586,072,103,035,539,026,978,394,238,961,689,677,308,706,472,
117,184,066,128,971,919,902,422,711,334,102,560,509,924,159,864,024,075,337,
056,137,818,507,578,750,253,146,930,776,129,682,488,993,084,317,714,990,834,
079,025,480,421,821,559,231,694,482,226,878,284,452,857,495,279,692,836,548,
632,310,098,353,454,661,734,664,829,575,631,527,102,097,851,825,779,821,124,
099,261,019,530,326,562,968,616,220,793,702,009,852,065,075,921,975,863,735,
052,584,451,540,938,972,873,130,070,746,107,937,104,544,286,861,502,699,193,
133,626,760,778,535,352,210,931,580,694,711,197,877,435,974,658,309,209,130,
099,630,609,868,687,585,682,272,196,940,742,017,145,007,104,783,419,560,704,
639,939,966,882,358,204,462,281,242,654,722,365,293,781,153,006,751,876,636,
176,285,174,825,714,900,226,834,448,566,399,680,707,151,037,298,448,361,857,
230,535,715,142,785,696,496,552,210,435,955,200,765,155,471,644,742,715,960,
583,261,495,093,016,827,405,390,397,326,539,579,450,662,373,670,081,308,617,
690,706,009,187,398,949,165,371,161,067,834,303,944,907,717,111,546,641,500,
355,484,092,894,325,488,034,332,789,916,494,904,135,214,059,544,256,970,903,
017,401,567,259,217,350,754,006,794,923,647,119,185,278,073,678,470,192,152,
210,670,098,204,193,970,924,334,706,835,062,350,268,036,251,481,192,492,687,
009,947,436,777,598,758,972,254,534,530,913,810,509,612,120,951,068,983,216,
104,341,461,133,923,426,387,133,452,339,114,873,786,542,526,697,459,765,023,
081,872,755,824,692,795,809,661,342,901,972,328,610,706,859,687,221,604,455,
941,868,094,671,202,511,163,309,675,856,670,881,517,305,794,059,632,431,764,
047,176,410,261,743,207,772,162,680,560,557,424,259,259,876,829,250,211,251,
272,433,491,918,406,997,690,835,878,853,473,213,517,130,975,003,180,363,604,
436,562,421,095,498,348,938,742,713,349,528,417,238,219,520,559,063,451,010,
309,158,142,051,817,974,435,791,634,625,057,136,640,606,749,895,784,389,384,
034,357,573,087,355,451,355,805,534,118,811,979,273,114,693,144,005,014,152,
938,438,494,577,813,041,666,628,639,627,709,329,349,750,008,849,384,838,622,
827,628,643,208,108,201,927,480,289,115,541,113,981,897,857,536,362,489,188,
024,948,429,914,987,861,625,546,461,500,727,618,265,720,219,226,689,239,756,
360,319,434,448,641,700,394,557,637,192,325,313,765,048,368,770,956,296,818,
738,498,437,206,638,619,883,525,522,255,651,798,742,152,872,689,839,196,853,
329,785,825,632,737,628,638,983,753,466,183,545,983,759,828,851,154,897,729,
751,707,961,242,802,995,170,481,743,985,002,763,461,119,452,919,744,719,764,
476,299,073,740,959,278,628,766,987,641,772,422,825,202,502,520,370,143,328,
825,904,039,530,906,016,938,196,071,024,782,908,120,853,171,871,007,153,757,
861,780,788,470,128,849,161,495,126,608,463,057,126,324,213,938,999,177,311,
587,694,024,040,712,901,495,341,797,586,021,839,762,083,811,289,110,036,304,
416,112,676,616,518,232,595,771,685,353,558,668,475,059,407,881,995,324,136,
348,933,461,656,823,975,209,366,212,023,762,050,423,860,450,903,191,821,696,
414,047,492,206,233,251,946,108,722,639,986,578,917,959,211,337,934,018,167,
951,597,732,345,956,924,855,313,251,916,991,583,662,524,946,320,661,130,421,
917,558,893,464,767,601,425,877,887,134,394,017,115,864,725,918,345,228,330,
309,648,514,726,159,370,294,119,569,549,061,739,051,699,046,069,088,640,980,
905,902,584,626,330,658,331,462,137,946,099,870,061,593,954,221,823,138,422,
074,513,768,533,240,191,467,094,199,853,787,444,709,006,081,102,231,229,129,
404,694,802,224,351,776,708,604,626,039,644,622,200,933,928,438,047,464,318,
989,312,097,341,891,800,020,061,242,101,923,906,226,808,184,140,760,040,158,
891,481,788,151,273,569,142,185,674,970,777,715,099,145,416,920,262,917,852,
478,314,467,230,041,056,025,222,088,280,053,315,031,246,392,013,063,722,592,
742,241,743,285,074,641,220,209,625,619,188,774,290,258,420,737,270,086,733,
574,555,525,948,398,562,785,362,124,154,765,292,552,731,945,852,697,403,621,
024,063,559,154,983,041,664,011,322,564,881,028,237,716,679,166,914,742,465,
817,778,266,028,446,057,851,895,331,952,189,414,435,646,524,717,332,469,270,
591,918,032,863,234,312,270,402,428,889,046,759,918,721,765,039,922,048,447,
648,206,375,554,617,922,050,881,634,343,198,470,973,134,121,272,305,486,210,
134,318,542,192,307,547,791,786,881,656,681,281,415,277,512,328,831,083,188,
663,534,062,423,426,750,258,217,687,413,322,731,152,016,906,750,911,899,107,
596,286,824,304,544,929,072,385,917,251,519,064,381,148,357,312,376,225,192,
754,091,882,746,570,352,426,369,158,276,629,468,234,641,754,849,844,579,367,
576,293,442,438,500,436,289,436,078,366,816,915,921,293,290,946,799,486,873,
213,179,246,385,246,160,103,639,891,717,227,795,537,782,289,298,855,012,940,
897,829,018,018,868,543,797,532,826,965,324,540,448,739,326,132,648,161,507,
567,437,114,857,676,743,231,033,420,806,878,327,418,147,260,894,923,468,214,
348,468,573,596,028,744,081,819,731,908,646,072,774,001,428,462,062,349,699,
060,544,191,403,390,101,353,692,390,199,532,876,151,636,870,067,326,909,686,
039,900,517,089,329,704,588,029,800,997,881,049,035,694,404,771,218,034,548,
442,986,952,784,579,898,342,193,232,664,593,840,840,561,386,530,313,525,964,
220,954,923,192,849,529,875,060,546,147,466,612,096,642,188,316,805,192,755,
962,587,534,888,038,847,379,461,106,394,052,205,803,283,551,206,302,538,533,
533,829,109,243,042,708,659,001,789,049,607,159,300,640,107,801,143,611,997,
832,496,225,047,870,874,269,109,625,671,236,936,157,235,832,527,705,533,297,
384,529,059,806,989,064,393,396,144,496,465,900,705,134,293,718,998,861,260,
613,835,728,927,083,273,605,415,912,757,233,679,120,719,511,037,346,857,405,
177,461,812,808,539,000,653,390,270,837,486,144,067,984,464,597,753,496,736,
279,660,300,927,127,273,568,806,966,552,049,834,571,603,102,962,028,763,178,
411,191,301,080,730,520,348,966,132,813,058,135,029,847,398,704,595,420,098,
154,255,324,398,424,996,026,170,942,029,285,670,806,495,690,023,111,846,854,
503,742,005,533,525,835,420,367,513,584,848,272,323,741,694,369,609,611,012,
773,304,738,431,201,068,112,933,719,701,894,276,972,686,138,935,671,666,950,
459,474,007,511,729,484,840,340,824,348,851,880,904,407,498,269,031,608,087,
869,269,521,580,089,198,230,896,186,133,018,544,231,191,762,351,160,994,776,
227,182,251,816,270,940,590,655,372,663,982,441,149,624,867,530,800,226,269,
399,721,317,686,887,785,763,661,387,278,945,873,003,090,602,280,938,129,238,
139,501,545,175,654,250,046,831,702,663,451,181,322,092,541,512,188,774,740,
899,382,011,747,799,122,652,392,026,615,265,944,975,975,507,975,700,649,932,
985,526,153,941,647,212,139,568,009,469,135,988,413,589,332,878,717,130,486,
282,764,327,191,136,574,624,181,242,487,188,852,398,836,363,142,067,413,523,
832,321,626,013,744,359,319,504,369,267,058,388,932,433,739,232,980,495,688,
252,847,801,152,310,858,834,695,462,867,124,904,934,539,902,151,000,421,827,
185,685,633,295,472,507,604,487,483,611,604,484,562,919,448,478,896,279,992,
902,949,313,231,458,841,578,971,895,528,017,481,185,126,888,875,950,006,092,
527,443,636,624,863,076,919,969,684,302,949,502,358,549,622,518,851,872,102,
306,166,239,962,810,792,664,616,280,694,781,914,112,760,389,148,523,332,214,
852,738,223,076,471,050,981,687,392,808,414,152,207,029,786,638,902,252,145,
783,507,210,533,176,129,963,136,197,372,475,096,149,963,539,821,039,998,968,
361,409,578,872,107,417,798,336,212,820,426,775,980,689,337,203,291,102,936,
038,440,075,999,749,471,493,114,752,680,858,137,219,868,049,112,414,832,324,
949,597,619,552,395,673,855,229,878,900,845,329,131,841,939,809,747,159,985,
609,565,168,164,345,502,835,262,779,753,411,782,315,966,122,787,359,042,203,
052,117,281,025,925,289,303,601,409,531,813,763,699,704,546,224,858,515,419,
732,163,791,340,905,004,934,956,561,647,988,028,064,577,101,884,201,688,060,
758,313,028,894,030,588,755,730,623,479,548,274,173,790,509,306,503,928,403,
125,676,878,552,210,729,526,425,725,373,337,233,279,673,167,169,227,635,540,
012,144,592,558,201,246,059,268,795,931,285,371,275,826,303,789,049,583,426,
364,713,238,921,854,287,999,216,128,832,408,744,707,135,885,115,165,826,985,
915,461,689,655,993,989,525,537,114,356,017,365,387,190,445,038,391,066,455,
784,634,033,311,011,742,942,559,307,087,215,973,862,950,369,652,625,221,686,
958,560,584,167,881,378,348,746,814,728,970,328,377,349,410,580,940,035,431,
561,739,675,105,899,466,659,872,985,519,781,871,233,681,235,642,383,105,443,
153,795,527,595,676,452,509,467,164,974,874,647,462,496,119,527,074,143,164,
141,888,466,070,407,737,174,495,890,284,027,381,853,249,584,516,021,633,159,
733,774,445,877,404,423,414,820,397,892,456,967,743,176,926,008,363,202,389,
856,771,148,628,320,935,937,551,805,493,449,581,993,721,717,922,620,880,807,
131,939,077,368,192,827,725,674,992,340,356,904,659,641,110,135,371,544,417,
129,102,898,032,178,455,456,401,972,757,068,037,900,294,891,554,883,103,055,
937,034,575,424,467,964,905,126,994,496,792,072,052,179,638,376,130,658,382,
341,369,439,907,733,578,961,690,319,380,649,102,626,540,683,422,687,425,828,
648,872,862,395,084,032,820,487,918,942,935,085,049,318,701,110,219,273,865,
176,596,483,494,152,679,181,463,424,642,794,321,228,101,159,521,268,765,827,
253,983,247,850,108,344,219,714,267,298,289,489,965,343,236,634,074,950,733,
776,323,399,619,663,136,303,120,176,488,307,906,522,620,846,847,743,973,470,
002,065,574,672,220,640,269,679,705,715,322,618,261,660,706,051,427,903,238,
317,985,598,765,149,906,848,761,598,041,928,898,901,739,968,121,387,358,640,
053,285,836,087,383,198,851,774,359,003,544,982,699,525,050,185,019,354,176,
964,539,037,764,625,857,263,001,362,609,158,784,553,169,830,930,031,075,303,
128,128,507,067,604,340,027,426,486,093,044,601,332,939,290,572,663,966,675,
007,344,081,463,275,447,517,163,369,839,624,572,086,971,690,570,991,957,720,
245,836,259,913,141,145,266,839,555,481,342,385,551,880,612,630,273,796,015,
409,868,971,249,447,331,489,230,825,922,097,326,518,601,263,419,283,962,661,
258,659,602,468,857,335,072,370,695,864,669,819,994,932,914,522,000,652,378,
939,665,452,470,684,457,471,195,986,689,510,420,755,240,028,027,899,234,606,
730,046,508,484,084,500,250,172,489,788,692,418,617,249,769,496,200,047,112,
566,135,905,856,402,345,301,241,894,177,343,649,456,371,618,133,362,936,489,
657,027,845,567,696,107,386,142,279,415,816,199,761,014,745,231,918,596,415,
883,754,400,779,844,109,662,315,927,444,936,064,844,705,690,706,255,151,935,
205,514,889,335,430,952,429,721,322,564,766,697,471,614,948,464,429,465,544,
797,285,750,386,251,673,067,940,266,513,360,297,035,799,483,642,319,402,870,
910,825,629,992,581,224,202,904,620,726,747,583,931,834,292,107,405,743,526,
924,187,209,401,653,165,986,881,179,039,889,898,988,036,631,519,944,180,610,
552,943,561,551,890,747,286,488,304,711,323,347,068,942,490,058,667,059,985,
184,565,210,822,072,186,591,495,607,101,453,227,617,712,975,730,476,615,186,
821,514,124,847,480,146,489,994,125,129,521,310,255,794,924,219,223,705,836,
142,446,847,067,715,335,183,724,945,142,077,362,362,702,006,730,340,098,036,
432,855,419,994,491,347,876,721,965,042,738,060,789,999,093,983,120,667,247,
251,689,016,096,216,143,410,523,742,050,380,557,515,307,314,474,300,123,365,
997,785,842,054,806,131,455,511,208,669,658,317,191,595,471,105,901,339,161,
889,143,370,516,063,305,624,292,628,371,236,246,478,536,405,133,498,889,482,
156,453,729,308,091,469,816,397,466,822,749,957,580,511,802,911,896,390,409,
592,332,677,477,226,914,536,126,243,172,460,005,099,381,646,681,224,234,195,
364,846,252,214,418,904,096,173,352,888,105,417,898,203,952,573,674,707,728,
478,458,758,803,963,734,654,191,919,914,184,648,501,896,039,998,702,302,767,
008,117,025,520,460,043,016,602,459,947,886,385,432,384,730,183,412,905,860,
755,089,444,646,607,968,680,055,321,110,558,005,183,406,140,768,084,843,254,
925,487,789,348,950,250,602,284,168,722,420,868,366,803,410,577,146,005,803,
449,525,916,648,116,857,632,081,702,021,981,675,404,851,599,296,017,040,968,
603,001,752,085,719,021,080,324,979,209,851,786,870,965,164,930,296,728,226,
862,936,352,298,290,984,488,567,438,412,900,988,076,115,866,044,346,193,799,
985,784,657,436,384,424,304,002,242,311,818,290,544,776,539,161,781,327,664,
798,231,692,808,018,557,786,311,216,209,232,038,431,116,881,853,356,258,536,
099,706,561,845,152,287,828,472,798,569,316,284,236,149,330,474,111,703,852,
448,116,430,217,535,472,841,623,292,049,871,367,832,497,942,784,800,035,496,
375,354,937,493,796,986,559,166,436,578,105,219,817,666,150,074,992,096,527,
965,487,561,927,782,680,154,769,538,548,767,445,149,959,556,977,016,484,215,
732,519,245,052,844,882,978,983,276,929,583,900,640,088,901,382,876,303,460,
318,729,177,711,852,075,106,306,425,229,849,234,432,706,880,483,817,416,756,
648,901,304,155,324,125,598,404,979,143,960,262,200,333,323,179,640,954,013,
811,154,892,889,154,491,040,828,768,738,958,419,493,704,536,936,962,280,963,
759,803,938,371,017,254,081,491,761,659,339,297,239,160,572,881,185,248,734,
382,161,749,264,613,831,917,050,672,086,626,136,922,231,964,754,128,993,251,
402,237,895,957,664,448,155,219,333,840,855,763,591,764,139,009,688,805,902,
997,880,782,476,435,830,452,988,893,996,440,701,354,798,651,633,156,741,872,
385,307,242,539,909,915,188,175,832,260,923,285,111,540,689,442,983,946,681,
517,743,150,140,610,253,421,996,016,226,471,015,529,666,699,947,271,713,273,
796,921,990,860,782,456,620,600,826,897,379,193,188,548,822,738,438,417,528,
756,950,810,183,546,838,714,436,164,177,201,999,801,414,208,336,084,056,955,
650,360,715,485,101,649,490,513,381,814,726,472,262,672,272,659,900,359,459,
900,238,660,885,953,471,849,274,926,254,271,591,029,450,002,123,069,525,410,
410,585,271,880,269,537,695,990,148,825,358,592,391,566,197,671,923,456,690,
647,279,961,515,395,117,853,267,121,049,652,738,780,437,389,771,720,350,634,
541,219,399,947,685,830,997,297,267,529,368,114,078,773,478,973,704,165,286,
996,908,319,846,635,365,954,747,619,460,769,135,618,306,363,515,448,019,426,
381,264,882,273,175,949,840,119,055,099,534,566,272,798,254,036,935,058,652,
739,161,859,196,110,532,611,145,514,855,473,742,533,863,172,280,766,415,313,
530,915,802,266,878,325,694,622,168,727,135,752,603,034,860,175,945,905,383,
477,961,041,402,532,662,945,096,704,546,438,585,379,554,862,022,948,851,182,
822,110,631,716,317,615,851,314,985,754,776,227,048,553,777,502,718,027,152,
940,592,747,013,082,236,967,926,777,433,652,783,709,043,909,934,324,134,862,
358,336,312,494,962,646,225,141,333,509,053,936,707,453,375,213,494,603,794,
384,632,831,286,313,846,507,210,637,800,477,799,419,358,870,457,486,631,905,
354,330,643,002,464,515,829,704,821,046,368,434,259,608,832,527,239,519,840,
988,597,355,078,738,435,291,775,220,024,538,568,117,510,996,967,341,924,937,
904,224,595,345,600,259,299,055,485,181,361,286,091,786,894,562,488,780,232,
131,046,700,323,258,386,170,020,114,733,116,933,138,632,465,868,051,929,443,
334,978,492,632,258,670,735,868,871,363,405,231,342,267,378,564,993,068,091,
284,429,746,827,098,900,331,699,824,293,967,616,017,863,379,050,647,320,064,
430,902,105,260,214,197,056,247,740,791,171,771,536,120,607,634,331,931,769,
270,486,578,949,429,588,468,555,333,514,203,277,981,665,474,254,479,086,711,
517,826,360,582,849,748,612,222,944,988,495,542,108,652,444,443,688,420,004,
538,433,584,656,264,491,882,126,001,306,712,354,624,255,859,633,896,414,736,
382,398,177,451,053,785,815,727,909,804,785,054,909,064,159,658,766,874,615,
239,611,201,545,783,179,185,919,274,788,095,325,157,949,919,989,168,894,261,
118,712,376,669,141,766,846,707,719,989,891,945,048,512,564,437,967,005,391,
769,328,547,545,055,530,521,249,772,713,982,718,729,187,109,223,726,266,911,
929,699,980,052,098,196,807,708,978,627,794,639,130,085,654,249,288,534,750,
257,620,591,294,082,304,751,633,104,683,375,825,802,680,676,796,842,366,690,
223,379,538,645,619,332,528,770,526,722,053,669,274,228,804,811,324,981,075,
390,162,035,003,390,628,437,125,571,702,903,193,297,438,025,652,019,673,341,
185,137,585,711,666,300,164,041,803,315,653,568,712,196,367,798,425,453,236,
992,216,173,006,188,255,317,104,882,264,986,289,379,455,526,498,591,082,037,
045,782,424,640,085,047,102,796,833,402,540,063,394,871,594,033,578,483,440,
399,145,901,505,980,890,021,309,709,045,803,713,778,554,754,345,888,766,706,
806,778,091,796,832,438,506,547,511,306,367,137,199,017,229,215,289,978,919,
321,185,313,779,932,462,099,893,143,116,934,012,793,005,120,378,350,477,951,
241,594,432,542,757,565,892,999,816,702,872,380,203,164,773,741,609,724,724,
115,574,327,321,795,292,458,968,549,793,058,475,060,834,419,629,137,468,812,
455,731,084,409,959,488,054,760,739,522,020,346,038,053,427,325,361,336,839,
945,916,285,498,010,942,462,223,166,479,914,196,450,899,400,278,078,914,415,
588,486,212,266,815,802,301,818,730,640,169,077,104,518,823,712,263,082,085,
198,563,154,273,001,423,257,645,831,705,128,506,382,553,925,361,351,741,845,
721,384,068,655,482,727,120,736,754,394,745,160,086,723,833,277,869,160,440,
374,999,387,624,721,478,047,195,603,277,575,433,618,343,121,745,645,510,438,
661,852,300,327,495,059,164,913,324,040,460,630,784,888,678,719,901,128,447,
582,875,229,651,769,268,259,781,786,694,154,994,629,368,312,583,562,561,520,
400,638,018,878,706,630,652,736,664,592,272,616,518,809,889,765,820,940,653,
936,891,093,530,128,227,855,258,464,969,238,623,697,043,534,186,951,961,168,
898,038,072,730,023,977,898,107,629,516,968,077,132,681,381,590,840,619,886,
202,764,765,705,562,923,506,814,200,536,193,746,391,972,558,615,609,754,198,
247,116,869,731,351,803,427,856,191,822,144,145,114,498,448,205,391,560,025,
489,251,967,362,368,781,243,631,860,854,153,654,223,657,962,628,234,595,374,
936,870,342,764,801,457,441,948,822,360,211,661,774,223,132,840,455,156,088,
428,423,026,755,287,270,086,970,781,839,669,251,150,703,270,206,365,869,527,
794,737,312,600,508,049,767,559,796,260,624,091,323,574,650,048,179,240,844,
994,144,189,213,853,057,639,763,357,956,065,388,829,209,117,976,331,701,829,
889,860,133,527,531,088,235,733,953,983,010,575,627,977,172,226,540,810,210,
373,465,347,374,879,394,553,424,817,332,949,636,327,145,129,862,144,555,173,
954,439,936,842,014,419,599,516,384,366,433,184,461,475,478,758,065,391,317,
113,043,545,849,279,729,764,647,375,156,090,216,219,990,903,121,387,457,472,
379,904,714,390,418,488,024,790,544,126,481,562,087,813,755,115,057,941,923,
110,190,638,111,735,299,177,198,624,106,802,274,316,408,637,188,187,716,777,
047,500,025,885,700,296,141,129,309,742,088,452,348,415,776,968,435,101,423,
282,008,960,903,461,654,184,619,957,945,139,199,234,626,613,284,245,199,873,
498,308,226,388,191,594,383,496,660,929,594,008,608,110,766,338,056,863,466,
832,178,580,148,448,970,914,404,307,481,781,197,447,746,292,823,875,353,049,
097,938,958,125,448,409,305,384,183,305,718,347,410,574,224,987,693,771,794,
083,632,582,108,112,688,312,527,948,845,358,892,491,117,293,696,789,028,408,
088,888,328,931,529,645,859,079,664,157,359,279,046,636,231,812,183,612,787,
738,275,218,370,418,918,918,814,473,145,821,907,685,836,970,895,319,722,737,
959,312,761,193,339,729,325,618,207,723,604,318,554,735,745,571,348,845,096,
125,651,834,754,767,142,997,894,160,941,863,369,187,232,754,183,380,289,791,
601,022,149,791,688,400,074,712,417,247,139,775,594,286,121,159,100,140,280,
366,493,609,548,851,501,082,288,304,531,157,934,778,760,366,657,657,313,248,
514,196,792,280,951,230,106,094,571,256,627,190,486,679,046,101,864,066,200,
969,497,876,309,249,390,672,930,253,478,968,077,179,484,016,474,461,048,883,
208,579,029,029,631,297,421,487,325,977,917,550,368,441,344,646,688,843,783,
743,277,980,964,985,746,885,082,005,341,915,867,113,136,928,555,237,606,858,
686,067,579,510,325,411,909,846,465,324,926,788,260,498,749,643,101,465,333,
361,094,284,918,998,915,493,232,379,874,891,106,475,580,100,413,175,942,100,
051,149,649,874,931,550,559,579,397,647,827,084,281,150,098,868,878,916,176,
720,335,193,999,827,247,141,594,893,042,160,268,152,670,619,917,590,343,458,
414,328,852,006,657,888,446,355,202,384,597,095,788,873,286,472,495,771,311,
683,715,924,720,448,447,767,266,308,390,274,398,054,125,362,249,323,719,017,
459,560,735,800,580,463,919,441,955,473,411,778,539,863,995,538,574,244,611,
512,446,511,027,966,991,339,729,871,851,561,660,455,905,422,496,753,907,887,
911,122,028,283,348,436,527,499,970,995,372,740,156,413,434,019,636,316,161,
938,595,743,538,267,909,483,752,135,441,365,926,282,277,201,173,340,229,046,
146,053,028,487,965,166,688,741,922,007,482,337,604,453,443,640,630,125,534,
300,228,180,322,305,143,277,848,613,338,404,301,174,601,819,177,326,981,265,
823,286,346,340,636,347,375,574,327,194,136,374,935,164,869,041,150,764,359,
350,510,702,683,663,221,766,927,898,756,160,199,818,992,091,973,817,665,714,
530,171,832,610,999,036,721,804,529,982,259,987,010,373,253,842,566,758,052,
983,817,524,546,027,759,282,153,665,734,057,249,782,851,959,022,592,382,385,
280,550,467,498,203,282,374,328,402,388,765,395,478,516,906,635,959,802,825,
087,114,130,923,151,825,045,285,880,506,332,371,039,714,938,026,032,096,910,
740,656,380,694,261,798,063,735,761,831,121,475,226,980,082,971,920,189,568,
902,552,589,139,584,609,264,586,636,842,668,152,689,385,176,512,145,267,468,
775,889,966,058,934,862,399,431,457,830,873,631,626,296,327,291,259,979,272,
818,884,274,828,926,403,232,988,557,319,438,987,764,988,054,176,586,084,526,
785,262,307,037,234,558,521,604,891,046,303,084,762,604,078,009,977,005,279,
849,013,992,385,907,608,613,590,420,581,575,041,022,503,487,448,215,065,675,
263,723,018,526,129,201,271,141,008,250,343,357,600,466,521,289,085,661,108,
281,688,667,031,003,164,396,689,914,714,356,056,537,956,125,030,614,707,258,
536,969,700,170,053,063,050,788,921,536,864,473,690,041,364,571,778,774,100,
317,143,392,950,312,208,575,515,759,783,518,566,192,163,528,101,659,057,765,
755,013,948,562,709,840,959,728,590,945,675,267,858,835,625,902,611,514,751,
813,218,324,041,730,807,835,030,112,637,879,898,096,812,542,723,870,835,373,
462,258,668,747,212,056,843,983,529,960,937,623,631,596,183,184,464,590,087,
455,806,677,832,455,000,716,775,202,766,686,690,639,944,337,297,017,709,370,
833,934,485,812,516,703,201,398,881,579,343,297,088,803,989,833,082,317,082,
448,763,028,303,948,441,599,878,598,689,376,557,311,685,634,366,774,622,592,
345,966,315,882,404,466,416,607,925,213,148,914,571,906,127,245,666,533,159,
579,759,724,001,626,043,956,050,765,757,145,967,172,389,007,317,645,040,641,
959,862,833,683,167,899,800,846,228,513,690,470,993,341,110,515,136,334,079,
430,534,244,476,926,980,889,522,088,397,343,174,759,344,296,486,453,733,935,
956,597,648,826,845,560,363,637,486,038,068,279,810,567,471,590,470,872,339,
821,929,882,370,057,941,531,363,017,344,471,758,647,023,041,149,780,319,131,
508,117,803,778,253,602,876,761,854,264,260,715,168,435,637,466,438,635,967,
341,708,348,245,286,258,506,572,380,473,861,396,043,779,660,758,786,734,454,
752,711,872,926,241,343,830,947,105,616,359,292,278,089,179,708,733,893,133,
249,768,142,661,496,091,199,036,358,169,648,789,120,459,378,908,556,843,795,
342,393,102,477,592,415,808,220,376,581,443,060,798,895,364,931,775,921,094,
922,692,847,770,221,714,280,387,259,227,554,750,804,553,477,249,995,321,692,
126,515,158,012,012,656,167,460,658,019,658,837,151,862,704,037,819,016,912,
445,095,339,495,810,529,555,198,749,949,651,403,918,672,224,978,077,065,209,
358,673,964,859,449,160,705,068,270,342,245,823,009,295,276,406,499,159,537,
037,047,463,804,718,722,862,718,637,636,207,584,914,846,409,198,932,027,295,
448,251,249,090,228,047,218,110,844,786,345,588,748,891,565,041,396,448,240,
193,575,453,748,509,062,641,622,595,732,635,950,950,641,126,368,750,763,876,
322,351,579,904,259,978,869,685,022,468,944,244,543,281,300,583,554,533,637,
001,680,200,912,155,620,682,709,105,503,476,994,894,323,392,928,826,353,547,
674,495,795,943,046,946,826,879,329,786,802,159,892,420,322,052,268,338,322,
211,235,267,972,306,694,900,605,630,152,833,341,730,389,802,167,969,289,352,
954,265,416,967,756,385,306,838,290,247,398,935,591,039,532,876,158,258,405,
198,716,200,949,364,675,426,998,253,255,908,145,808,290,633,687,663,381,958,
304,709,467,239,690,831,284,695,059,174,077,478,750,066,536,753,789,273,389,
534,926,544,034,200,868,463,065,714,095,380,412,242,231,140,198,304,180,965,
438,088,548,103,980,259,742,903,389,678,038,134,543,119,208,670,928,427,481,
749,310,183,711,174,516,487,173,409,023,277,468,761,273,815,795,944,807,166,
693,106,217,699,515,189,676,151,900,883,168,701,615,366,398,896,758,294,949,
427,709,516,138,654,052,235,078,804,338,505,496,998,483,595,086,293,588,814,
438,097,386,664,977,814,279,790,377,581,930,433,104,881,229,964,922,315,724,
102,031,268,886,719,204,983,206,436,016,047,822,535,065,332,990,313,688,367,
849,311,953,054,940,119,799,550,533,967,099,580,259,644,558,397,197,654,661,
363,479,915,237,412,564,197,875,678,168,377,167,077,138,504,308,297,949,231,
595,484,529,177,919,982,184,761,695,339,057,336,422,509,979,025,214,627,428,
225,004,831,352,872,364,326,543,868,184,109,140,264,933,381,943,875,164,214,
575,186,615,940,863,943,472,566,367,064,685,325,131,720,113,474,643,951,067,
846,698,120,930,763,792,160,778,717,970,565,673,767,384,312,432,996,450,734,
011,408,043,998,749,453,922,523,583,036,744,425,119,874,325,365,299,449,327,
284,989,326,898,443,865,573,988,447,631,639,356,860,557,624,377,261,999,722,
742,905,727,440,542,025,559,108,258,925,090,935,890,457,665,316,014,312,770,
378,050,767,191,083,907,854,793,132,460,211,622,830,934,885,561,870,263,355,
784,154,170,511,702,511,001,069,819,846,735,619,608,806,438,887,382,399,659,
415,523,355,410,302,045,577,915,243,011,021,123,225,296,081,711,809,731,982,
801,502,243,769,850,786,497,450,846,915,673,493,082,120,406,886,392,427,118,
855,964,627,738,063,715,531,731,286,147,989,598,103,077,297,433,576,051,104,
483,036,412,206,401,469,066,311,132,615,385,522,161,233,278,728,959,275,795,
356,624,570,643,426,364,372,213,835,974,019,263,894,807,701,682,379,630,259,
186,400,463,844,299,700,689,223,653,795,447,323,817,062,776,918,963,772,386,
869,149,948,741,355,544,103,533,683,445,092,970,385,761,274,119,333,814,145,
748,419,636,609,051,927,333,285,473,236,605,010,152,615,563,610,520,699,813,
838,919,070,621,574,329,927,495,591,075,322,108,317,980,848,527,483,504,763,
307,861,260,854,135,578,752,416,691,987,438,069,440,432,817,889,249,567,266,
228,190,864,360,001,338,524,071,522,708,665,550,544,359,598,633,918,004,994,
313,398,903,875,616,422,785,351,819,068,881,170,797,844,101,842,748,373,971,
047,002,951,540,015,015,206,348,269,222,462,113,426,277,669,459,521,201,972,
146,991,287,559,886,944,712,314,061,059,982,167,756,847,066,006,624,487,354,
416,551,882,738,027,859,820,062,400,918,754,842,407,144,468,468,126,529,097,
112,294,191,568,817,853,229,309,585,276,790,144,643,150,196,536,494,810,575,
355,624,947,492,695,959,934,982,237,667,199,144,166,698,298,394,518,616,724,
344,432,608,816,102,226,939,352,793,278,744,913,770,536,778,197,293,437,072,
153,431,681,252,359,763,531,369,605,798,333,813,669,018,632,801,737,273,373,
913,129,085,917,678,581,713,716,172,969,419,926,742,341,268,157,370,680,079,
642,794,111,028,011,753,301,624,931,161,585,961,482,036,738,443,907,235,266,
907,686,896,117,854,845,807,879,538,094,831,771,486,839,817,819,984,642,221,
597,758,047,460,738,994,327,035,571,885,300,003,180,964,258,090,635,932,448,
793,115,532,366,770,717,992,505,120,834,582,636,179,197,687,443,577,510,759,
903,084,181,740,539,985,918,757,411,461,004,833,876,785,868,457,796,240,730,
972,783,843,893,769,508,788,962,518,786,978,970,546,420,674,917,575,449,793,
502,612,537,172,042,515,101,904,589,465,693,850,644,384,933,214,812,221,970,
297,531,878,505,199,968,967,412,537,218,206,904,239,922,728,154,835,229,917,
128,650,205,418,821,954,698,490,750,947,505,542,170,929,266,888,247,025,322,
432,982,636,650,867,857,708,315,152,162,101,609,151,523,601,772,429,011,542,
194,640,986,800,209,177,620,984,072,520,493,707,741,870,584,360,531,521,392,
046,131,763,540,830,455,470,267,431,368,277,477,493,167,842,412,138,396,881,
715,838,819,566,145,579,966,355,973,365,765,296,596,776,633,407,989,220,625,
731,451,933,576,885,846,620,380,402,904,088,132,902,212,349,712,077,787,405,
941,523,899,863,252,227,330,342,998,801,609,375,384,545,559,201,331,456,959,
888,670,793,581,447,242,590,704,072,828,949,421,827,328,960,079,170,051,372,
153,393,083,387,121,371,073,970,276,860,896,743,778,289,244,968,498,118,635,
672,953,065,735,533,881,628,506,162,085,508,695,860,505,163,867,242,574,929,
686,932,361,575,417,188,330,418,568,432,547,548,241,336,999,000,527,377,749,
393,980,789,466,197,114,507,187,896,798,292,514,205,706,779,195,490,913,462,
590,634,607,591,495,919,663,979,989,078,203,310,517,406,110,184,534,966,048,
916,310,536,033,018,895,101,112,318,567,425,304,872,381,227,906,505,744,526,
045,779,990,813,225,616,365,964,171,175,547,324,361,526,399,022,875,381,620,
553,980,159,971,830,204,131,329,297,060,177,942,440,245,764,320,303,662,915,
205,743,139,046,937,244,793,450,252,651,584,342,941,076,323,739,852,720,200,
244,617,194,766,541,006,168,190,002,715,804,778,252,226,409,176,285,165,618,
838,359,607,276,629,547,694,415,526,593,767,107,002,628,293,554,434,887,509,
075,320,829,230,383,127,820,945,847,603,426,979,402,316,405,426,966,835,027,
391,070,341,300,713,924,162,970,039,626,046,989,496,353,169,120,967,786,425,
125,172,698,316,853,913,808,358,520,359,786,896,215,528,924,218,524,545,522,
394,250,875,900,265,197,641,642,785,175,367,803,664,487,462,596,847,486,549,
629,714,776,439,079,070,369,828,592,133,376,428,920,963,657,910,091,729,827,
366,789,878,529,717,196,274,306,301,899,475,181,825,388,825,799,896,011,083,
640,442,561,779,266,965,742,941,615,009,062,222,386,608,212,113,851,406,977,
269,392,046,373,368,923,040,469,703,685,042,337,095,429,268,273,538,715,452,
481,202,505,909,545,493,092,584,030,754,664,913,442,323,553,191,429,585,276,
896,165,864,767,158,267,161,275,887,325,919,254,100,349,227,520,949,786,881,
323,521,590,698,982,588,360,428,488,167,619,556,092,189,667,004,632,950,959,
103,377,139,726,892,172,839,496,879,270,693,938,247,340,617,402,239,478,071,
437,733,432,785,569,895,913,936,751,856,075,336,946,920,864,809,181,358,638,
809,517,260,932,006,533,306,850,096,330,543,724,307,633,268,733,962,226,238,
962,128,616,480,739,552,440,090,593,001,222,641,639,835,065,166,986,287,188,
661,542,346,611,431,861,382,308,615,811,763,442,879,671,217,865,690,757,338,
078,567,778,474,568,693,869,247,480,289,892,600,162,376,812,755,389,103,888,
848,199,123,943,159,171,808,861,295,941,138,523,120,938,871,497,916,148,904,
378,873,537,119,874,255,475,677,837,836,608,994,603,731,405,373,383,671,511,
115,734,533,860,595,675,703,572,507,153,209,721,138,521,252,477,077,702,526,
009,135,218,837,109,267,412,171,136,318,552,837,770,830,055,946,692,237,417,
119,593,104,905,423,929,098,546,077,781,033,088,502,089,679,249,675,637,102,
514,961,854,724,122,407,355,558,964,456,233,371,679,361,595,785,175,425,286,
950,808,343,978,874,892,380,520,474,672,389,503,849,221,500,860,738,563,890,
918,713,106,885,879,188,229,713,271,495,339,722,237,601,686,269,196,143,197,
307,541,344,541,224,203,312,251,983,176,428,882,179,182,464,455,324,884,371,
338,951,698,085,363,868,951,934,463,099,071,941,955,156,904,509,532,548,124,
597,031,842,674,787,676,615,349,589,271,032,542,903,406,798,478,001,098,269,
609,925,210,754,151,481,948,192,611,877,486,399,507,545,328,343,931,262,118,
948,637,983,024,419,827,037,552,898,214,207,189,482,117,993,696,312,315,709,
062,330,816,631,437,195,844,660,432,018,744,110,559,782,257,979,006,801,165,
936,526,992,592,281,525,251,245,201,694,711,454,748,137,391,031,341,553,002,
529,259,245,515,051,708,315,515,488,911,496,746,021,238,709,866,635,989,945,
281,062,047,688,813,117,146,561,111,553,578,679,124,102,751,225,253,574,389,
477,948,645,280,366,339,049,711,069,395,679,226,222,076,103,713,787,885,328,
784,582,811,237,894,047,576,332,690,337,870,474,080,884,601,841,335,986,532,
720,018,880,120,183,448,781,356,583,037,846,432,000,731,465,238,528,988,924,
191,162,516,803,914,359,553,059,629,240,657,734,338,547,391,689,770,818,594,
948,269,575,938,905,333,086,599,450,342,285,039,884,838,326,502,665,761,645,
693,087,990,284,258,604,357,807,864,163,775,530,529,315,895,272,821,474,433,
537,515,088,590,321,891,969,539,986,703,507,963,621,599,859,158,166,367,290,
187,378,668,839,068,266,602,528,556,808,587,326,216,625,434,587,462,549,036,
286,557,762,154,901,262,022,697,580,809,288,486,483,846,278,785,168,626,275,
546,121,038,305,024,028,026,097,954,203,980,373,051,974,101,591,971,744,913,
558,315,826,871,355,540,979,457,798,440,805,889,999,470,030,069,248,205,689,
398,738,496,754,567,645,444,040,551,195,533,032,632,357,986,586,348,097,208,
593,769,643,586,711,392,045,080,801,674,926,789,785,258,897,385,682,949,862,
671,310,490,353,914,375,468,459,896,362,499,294,957,080,595,364,822,538,227,
402,225,705,492,462,772,797,080,726,566,641,666,594,506,329,079,698,716,455,
900,833,548,125,108,104,219,986,284,588,693,650,287,876,570,796,579,102,408,
230,280,247,494,125,084,018,829,526,633,921,654,180,985,055,768,820,958,835,
905,151,541,127,323,125,091,066,797,103,699,294,290,865,655,323,749,608,369,
560,978,024,467,911,943,509,808,249,705,607,111,453,772,206,268,191,509,298,
819,855,593,055,612,332,405,805,003,433,454,078,383,649,685,964,729,345,353,
058,683,309,636,965,787,785,875,733,700,177,048,842,469,309,041,614,196,954,
457,844,706,121,085,457,905,432,837,671,534,764,865,779,175,538,996,508,742,
029,198,093,791,808,280,916,710,877,376,644,412,792,087,942,545,394,868,692,
579,387,597,084,529,979,832,128,169,874,325,156,497,802,482,412,835,358,128,
734,290,285,541,989,309,606,331,915,827,123,668,654,486,484,382,076,578,707,
077,008,384,253,746,237,995,359,541,639,660,086,677,991,412,505,181,311,335,
154,020,753,156,446,427,582,926,912,667,002,094,065,016,788,098,521,828,503,
326,667,742,688,917,819,798,681,452,681,792,324,167,730,577,605,268,161,798,
735,215,026,168,643,744,833,532,184,106,356,488,859,368,977,453,148,357,359,
637,050,244,576,572,935,128,865,418,434,038,843,844,493,209,998,560,012,176,
926,676,574,331,664,341,551,799,208,488,121,928,437,462,657,318,097,113,994,
572,800,119,209,123,653,492,931,606,954,121,279,907,862,278,975,877,450,979,
627,766,097,036,576,747,758,242,873,632,138,475,556,487,189,245,970,529,862,
590,732,356,383,953,718,654,963,333,718,191,913,806,124,412,055,844,647,260,
598,397,675,888,985,767,994,120,955,485,450,734,878,984,822,572,689,708,719,
315,826,778,307,206,297,604,451,565,829,922,657,892,636,921,838,962,967,485,
209,833,471,320,033,831,363,249,767,987,175,748,902,168,574,689,417,753,733,
235,243,519,152,599,090,771,185,970,202,868,894,954,360,163,602,899,717,687,
321,413,535,078,809,960,610,073,600,698,687,135,043,566,381,002,405,469,277,
014,156,542,010,210,549,539,294,048,261,842,936,660,343,283,456,304,575,412,
926,152,125,593,850,774,536,325,894,553,958,346,426,530,900,356,796,250,049,
688,982,156,842,793,533,383,889,301,811,895,196,406,962,361,864,186,447,255,
118,164,071,497,007,068,986,150,665,147,094,760,056,969,185,924,561,454,321,
343,287,050,635,279,816,552,620,945,592,691,933,609,836,699,558,277,744,686,
776,335,840,055,394,930,747,550,903,726,201,769,486,920,887,262,511,043,186,
976,008,843,154,401,082,991,755,836,021,069,436,413,584,626,504,840,147,096,
976,589,349,654,911,393,437,318,813,835,427,640,841,710,747,127,155,496,400,
009,680,346,575,318,960,681,433,096,010,040,231,147,888,072,470,653,257,979,
072,762,769,714,391,493,629,391,135,191,288,178,515,761,124,692,228,831,067,
238,846,989,428,821,990,335,554,415,657,213,746,772,109,047,299,092,824,219,
026,396,944,270,512,679,529,705,154,630,960,413,384,127,842,236,243,214,619,
396,420,181,566,707,148,195,436,159,353,338,041,652,884,212,854,819,720,619,
419,392,888,790,523,189,172,098,676,787,461,887,785,024,270,265,223,149,518,
176,403,795,666,217,566,275,645,692,606,840,627,165,046,706,711,546,731,908,
016,034,553,173,696,464,451,444,030,282,420,462,488,748,696,584,776,151,024,
517,705,854,413,100,434,888,148,858,808,048,537,805,483,291,367,861,134,440,
551,416,436,954,669,838,905,878,180,589,077,570,019,816,199,083,464,407,151,
945,012,579,271,721,833,716,257,812,341,223,115,582,558,411,247,484,088,087,
312,803,904,203,125,566,426,124,849,761,915,638,520,852,553,627,459,076,048,
034,262,111,515,572,988,043,273,838,758,449,740,781,201,692,614,546,838,151,
338,820,093,231,117,494,089,172,879,444,786,205,595,200,380,518,038,891,185,
881,668,277,452,444,711,846,843,739,160,829,371,544,333,162,309,072,370,028,
224,825,192,046,547,907,956,418,297,632,665,280,233,876,350,948,310,730,867,
101,956,895,582,056,056,876,317,399,421,645,963,036,107,167,266,051,557,719,
148,511,027,399,224,484,215,756,513,439,036,862,567,100,998,631,672,113,534,
559,137,403,943,177,123,150,244,628,624,141,340,111,902,031,402,962,799,374,
573,471,985,290,442,106,424,581,674,411,551,536,054,740,823,198,728,862,133,
154,518,198,728,579,957,969,849,012,714,818,734,792,767,494,074,957,490,475,
938,782,393,384,392,236,918,582,975,907,907,077,626,970,228,306,231,288,834,
935,645,863,998,089,151,768,993,107,917,023,298,197,258,616,830,738,038,732,
976,537,334,135,915,460,134,216,468,777,035,693,460,510,002,837,555,091,139,
979,641,478,313,247,796,636,364,647,335,604,271,893,453,741,091,787,420,331,
172,271,290,008,329,598,739,989,505,494,246,178,231,453,419,281,920,191,794,
522,559,202,851,969,649,373,767,418,582,714,104,603,599,371,865,724,386,125,
266,329,827,502,956,020,611,225,696,049,880,240,820,529,413,126,402,982,111,
668,638,195,537,329,374,070,246,864,875,578,724,091,075,229,439,704,748,392,
264,067,472,628,489,549,626,384,092,935,679,398,011,574,288,203,406,276,112,
916,880,418,139,957,834,772,585,608,986,525,127,351,654,432,795,366,530,361,
394,466,357,591,520,434,789,747,470,909,931,741,342,380,842,956,254,963,873,
176,757,524,975,276,166,385,764,697,898,226,336,458,015,687,623,549,470,098,
556,184,063,484,652,971,839,053,091,283,983,124,449,709,172,876,241,320,088,
945,698,369,646,085,542,074,327,216,417,936,664,471,652,590,394,206,574,407,
514,690,008,902,401,658,493,594,457,481,863,770,290,981,936,460,490,924,577,
491,799,384,496,630,400,691,945,462,832,969,922,914,053,801,705,986,980,832,
285,927,194,267,842,609,070,227,345,599,613,708,709,613,308,810,153,883,233,
615,424,011,595,712,375,928,074,919,482,429,210,438,888,358,312,502,483,894,
257,692,178,531,716,276,227,604,352,649,105,978,929,225,023,179,592,328,008,
546,739,930,678,863,175,296,284,371,457,880,900,414,072,079,176,462,554,493,
215,387,869,900,052,254,783,481,346,411,545,196,955,444,665,394,371,796,355,
053,182,843,387,348,416,555,751,619,826,993,047,025,560,330,272,514,752,538,
711,687,468,644,533,096,728,346,947,397,893,946,325,332,762,014,363,962,456,
026,923,220,629,087,962,403,349,732,942,634,208,594,121,193,843,064,854,516,
534,741,765,323,729,699,588,896,565,450,389,724,110,630,419,117,257,017,183,
860,604,080,371,456,976,324,062,305,597,727,490,956,511,683,690,872,949,466,
837,907,271,624,667,438,288,491,898,863,047,259,916,279,325,553,725,664,125,
365,095,634,557,654,764,896,363,467,644,047,982,276,717,154,481,331,762,943,
835,056,912,974,720,368,261,453,463,109,569,691,199,852,463,069,411,626,787,
396,021,201,218,632,293,067,633,863,537,226,427,007,158,814,513,404,474,558,
589,433,360,784,729,078,113,235,441,082,014,444,230,591,780,947,638,685,095,
596,491,109,934,151,427,053,157,871,315,375,129,611,930,392,577,174,376,394,
323,385,836,172,503,729,870,236,796,009,114,599,514,918,489,824,733,866,317,
471,074,235,113,170,950,524,157,088,371,211,594,987,304,453,313,739,279,399,
963,354,935,773,742,420,975,196,661,365,692,955,838,652,996,820,509,780,790,
775,834,760,971,506,153,823,726,689,989,964,660,287,514,856,714,628,155,926,
726,775,631,356,729,663,769,371,907,410,233,933,538,045,975,778,461,708,546,
667,984,279,846,446,162,174,246,749,781,453,674,664,198,690,430,965,826,426,
022,691,018,883,713,433,227,279,650,429,362,932,493,175,458,605,786,571,038,
405,725,848,260,574,272,992,894,508,748,226,703,763,081,913,542,071,796,956,
780,137,039,666,395,526,262,135,663,487,294,555,423,300,364,866,517,428,242,
496,462,776,953,577,629,876,571,048,218,073,621,846,327,141,000,430,772,875,
980,671,400,606,352,525,288,103,512,383,689,607,392,643,241,951,593,242,319,
293,782,462,259,454,448,638,513,828,430,011,802,104,429,119,825,790,745,919,
034,428,205,325,028,537,770,824,045,213,577,343,037,096,478,734,417,001,524,
512,558,261,225,337,002,509,402,213,404,847,117,638,061,745,406,365,525,981,
942,536,538,132,867,600,302,341,600,078,860,847,969,637,289,362,296,488,832,
279,374,828,366,080,349,699,253,386,091,065,581,078,466,618,713,190,402,084,
554,217,363,227,405,601,302,122,546,464,213,145,954,585,278,512,066,894,935,
654,746,174,972,384,653,727,127,516,844,374,317,776,173,942,694,904,072,435,
771,094,169,437,462,825,422,293,900,125,939,231,790,994,975,560,869,388,285,
713,786,415,813,024,819,760,107,034,376,198,772,226,688,882,727,208,189,108,
708,618,639,529,907,540,311,295,406,219,239,797,714,531,592,879,895,576,487,
088,496,189,307,464,813,092,968,046,247,761,619,286,110,267,986,508,333,740,
377,739,287,519,460,372,918,984,064,764,984,678,518,134,862,478,111,877,342,
657,828,570,611,501,442,857,226,618,626,480,250,273,409,847,602,079,127,726,
217,784,330,698,398,076,345,364,294,296,503,642,321,588,414,207,617,737,488,
773,922,078,389,633,764,484,843,947,914,285,178,789,358,278,944,789,233,368,
190,561,937,036,069,241,441,309,744,081,092,719,664,860,445,541,589,935,962,
319,313,045,173,474,527,374,637,435,401,833,179,134,740,706,620,284,365,594,
169,548,408,685,232,793,555,213,128,201,798,516,572,320,258,036,200,688,722,
449,724,153,953,361,711,727,821,052,338,295,492,365,694,847,546,312,845,586,
309,130,139,974,477,003,820,984,326,285,128,664,429,853,945,918,246,840,719,
015,851,720,865,543,391,422,405,063,780,316,245,797,209,158,204,813,612,388,
140,742,612,475,667,807,455,987,844,235,440,090,111,868,327,444,549,559,883,
958,737,483,308,211,083,040,772,278,724,767,380,065,691,804,325,557,954,077,
749,173,007,882,738,441,317,385,418,092,012,098,843,559,431,375,501,001,348,
174,583,203,295,935,632,480,626,748,893,183,204,530,788,544,682,038,778,298,
279,061,084,559,659,678,521,330,580,248,466,477,643,854,033,475,488,296,948,
635,640,124,692,730,063,258,816,062,825,039,367,102,750,019,016,166,494,780,
240,068,061,344,618,770,687,961,416,073,098,828,107,439,376,743,387,078,693,
822,064,997,739,939,666,667,486,331,504,471,169,908,194,859,027,503,713,574,
115,396,255,074,621,191,970,149,357,581,037,437,539,315,854,761,574,247,026,
950,226,056,168,185,450,761,254,738,399,278,074,921,334,426,836,385,678,018,
034,389,636,279,511,135,049,376,697,221,818,663,289,898,541,505,662,708,834,
100,440,173,912,906,922,078,133,031,456,530,475,712,140,209,667,219,483,620,
620,385,249,375,874,678,318,365,768,589,071,237,579,536,261,137,414,271,692,
816,305,343,554,095,698,851,121,890,351,695,839,102,277,637,244,403,401,782,
859,846,016,627,411,037,199,957,541,134,045,381,154,405,913,754,860,534,206,
485,456,702,008,556,409,281,981,729,260,005,281,362,844,538,453,500,497,996,
204,433,349,083,912,762,986,298,972,522,202,453,375,617,480,423,745,812,883,
397,668,612,673,355,649,153,393,738,800,811,194,379,904,501,231,399,597,826,
483,943,743,191,227,184,730,331,298,133,902,238,790,624,951,630,173,701,763,
135,546,510,788,674,327,676,926,664,073,215,889,122,724,604,160,846,655,708,
931,417,551,205,146,434,005,731,403,102,734,391,217,561,315,165,028,556,656,
978,594,727,955,904,018,602,314,502,240,686,418,418,350,592,853,920,218,766,
109,809,905,156,107,061,227,739,859,384,743,507,972,893,305,938,970,233,000,
597,031,675,860,540,804,489,720,599,101,015,613,360,097,700,080,941,417,759,
972,687,707,971,069,068,346,914,961,790,731,354,973,349,628,163,659,247,859,
595,470,994,872,145,630,736,424,355,022,816,828,994,070,777,345,694,495,105,
948,548,922,359,829,506,217,195,410,649,388,510,891,537,664,164,292,593,185,
175,618,482,769,167,148,923,053,492,304,225,539,603,183,660,768,741,793,388,
708,799,402,081,363,783,960,539,957,295,071,102,249,698,481,007,227,623,842,
373,208,057,110,154,775,487,431,466,503,632,697,224,447,539,582,859,782,504,
561,497,138,839,296,007,097,742,792,736,084,896,979,325,151,354,904,615,739,
716,554,560,938,093,651,448,599,592,865,154,122,106,266,213,015,453,361,297,
407,511,226,479,941,345,175,789,103,421,085,410,415,468,794,982,625,899,302,
085,413,554,455,295,822,916,310,709,483,426,270,957,363,567,248,372,337,856,
612,146,296,094,702,963,736,838,628,592,122,686,664,403,139,569,809,369,074,
535,127,125,393,877,345,720,284,866,089,584,834,853,876,077,911,642,828,252,
969,533,786,281,334,504,511,164,556,920,346,304,284,387,006,493,101,705,652,
252,594,087,198,220,594,883,085,913,121,933,003,923,059,241,525,724,204,096,
723,800,179,649,465,132,028,896,980,747,337,171,941,029,497,470,586,665,823,
327,719,096,033,913,771,132,827,498,062,350,351,520,024,504,528,737,340,936,
418,158,931,972,523,139,435,555,244,671,511,656,300,262,503,312,183,387,968,
761,865,086,567,359,045,823,061,648,175,295,102,990,639,308,862,559,433,448,
817,453,700,990,195,157,592,857,748,073,486,769,729,381,270,704,983,096,523,
480,227,953,463,174,744,691,778,330,549,180,656,920,632,678,338,911,949,887,
474,980,339,768,896,502,414,053,866,364,603,589,583,766,558,947,577,162,443,
107,381,097,577,354,646,292,008,848,324,038,434,440,077,176,940,226,547,774,
561,922,984,658,655,982,243,356,143,059,111,727,341,467,122,483,225,037,485,
265,008,915,506,153,335,642,927,597,942,057,437,269,222,888,509,805,890,589,
240,005,189,856,670,227,915,268,367,369,993,881,635,884,247,188,104,714,052,
782,323,711,090,101,417,157,681,837,029,770,929,387,086,893,418,921,346,016,
793,984,593,940,884,979,294,690,075,322,859,592,620,611,802,951,535,440,567,
698,581,446,191,970,954,485,535,435,563,371,485,263,090,207,417,864,592,635,
871,089,013,120,304,426,037,081,939,230,528,111,132,853,456,706,519,037,198,
750,389,936,007,017,365,731,590,898,069,253,094,666,991,049,209,693,190,180,
223,719,196,709,776,792,640,345,648,840,864,367,741,501,041,332,236,555,227,
366,520,195,731,555,558,929,889,934,135,917,292,753,816,900,650,423,954,945,
982,218,733,174,397,574,831,176,497,838,968,648,823,570,085,974,719,660,074,
742,634,546,078,812,333,652,293,422,770,671,279,950,994,319,139,477,049,626,
856,327,542,354,675,712,489,679,139,776,277,233,738,781,023,556,635,695,387,
767,356,820,011,216,640,320,041,285,650,975,217,650,352,750,538,466,513,059,
149,220,837,859,923,416,487,508,076,034,611,038,776,308,297,334,777,045,988,
259,953,282,573,078,524,599,114,416,415,806,493,197,652,911,720,824,988,402,
164,246,122,445,130,552,533,729,009,701,873,668,554,600,989,238,246,405,381,
620,833,414,968,940,188,000,674,459,046,362,888,046,920,164,825,126,320,928,
127,841,843,487,080,457,969,310,653,703,572,437,610,627,490,416,748,666,531,
159,414,917,638,799,804,497,000,031,119,273,579,586,356,740,599,106,370,581,
844,881,270,316,982,154,911,038,987,063,930,813,071,401,285,929,583,889,677,
008,145,828,183,491,898,155,755,745,672,985,214,549,600,109,068,319,372,911,
640,194,797,890,123,003,691,692,943,724,663,421,000,005,917,275,840,547,433,
305,082,021,247,635,305,027,073,690,886,646,073,383,135,692,166,611,251,157,
598,674,394,442,543,835,012,980,967,258,446,653,617,901,291,616,937,231,465,
321,090,145,667,329,585,883,449,872,147,486,309,726,407,717,566,413,560,451,
202,913,677,620,543,693,388,536,916,236,692,600,544,700,513,936,361,756,561,
161,550,489,388,951,476,299,806,155,116,642,572,623,014,334,104,505,646,942,
719,527,866,906,388,241,177,150,710,012,433,648,702,907,655,412,238,285,008,
000,373,493,586,768,196,814,309,764,817,473,093,761,754,910,118,993,141,090,
473,515,035,724,519,775,904,581,408,044,535,325,749,917,462,670,766,742,994,
003,622,845,447,017,788,810,223,351,657,793,458,260,938,005,555,659,608,643,
569,707,933,766,961,943,347,247,352,142,906,120,414,987,970,761,345,828,139,
862,890,897,591,266,717,617,179,072,862,160,356,417,837,917,489,942,747,959,
631,239,015,845,040,133,068,765,430,110,973,506,447,791,403,249,505,754,802,
333,712,430,316,206,810,770,795,882,808,050,052,773,566,725,574,528,338,799,
825,122,230,514,682,132,571,054,806,541,397,070,419,764,890,640,507,614,863,
611,818,870,766,574,857,351,368,076,978,422,746,116,594,146,065,420,909,124,
566,613,550,451,763,894,983,963,701,544,021,886,103,800,735,825,132,599,102,
029,474,044,808,102,902,394,346,833,832,571,687,421,518,735,723,748,680,994,
009,322,305,342,982,449,194,097,342,625,339,349,194,258,523,813,452,703,851,
506,388,854,865,154,103,705,867,188,278,794,529,303,779,241,993,989,479,159,
061,802,635,695,257,146,861,840,874,558,448,213,817,577,164,327,925,407,207,
851,287,830,126,691,569,620,995,473,741,344,820,298,419,934,124,066,889,210,
229,407,701,906,827,246,458,281,357,384,325,422,816,309,816,966,190,702,172,
462,438,093,990,894,698,341,406,073,868,719,908,936,092,236,629,486,049,516,
880,168,066,219,241,837,503,477,389,045,407,545,653,364,177,652,156,006,842,
048,249,955,309,845,895,315,546,315,867,831,978,042,675,629,929,557,177,054,
752,406,481,923,017,296,651,238,709,796,233,299,091,421,518,643,670,476,942,
240,772,392,249,595,531,163,808,942,547,368,095,887,728,459,163,971,672,355,
157,456,696,409,058,765,723,137,714,962,009,153,318,389,442,249,112,820,205,
621,737,632,419,966,046,664,309,619,965,927,799,544,122,214,228,034,320,890,
317,127,062,608,184,857,383,476,388,807,441,411,941,463,069,340,534,874,063,
017,827,912,316,768,423,032,941,782,171,004,585,288,504,207,041,596,283,890,
300,812,132,394,694,972,983,910,127,004,631,281,059,112,620,699,827,709,803,
493,217,967,680,601,607,596,699,531,913,121,633,439,958,428,171,412,068,736,
018,082,592,461,030,996,326,301,516,490,079,978,122,752,007,832,090,909,147,
884,432,140,353,865,743,088,300,192,827,510,674,567,469,069,851,865,202,479,
865,079,091,926,949,488,013,807,434,139,280,926,375,569,372,351,116,967,827,
763,500,412,217,152,178,381,999,696,209,116,182,110,527,621,267,032,531,333,
486,532,828,332,000,260,289,208,369,245,845,221,283,076,615,558,403,573,595,
147,321,701,827,636,412,027,891,804,552,984,051,508,273,567,529,695,905,212,
963,476,262,918,527,996,592,948,874,664,667,074,060,906,227,144,137,102,987,
269,446,663,886,327,427,433,515,874,850,887,187,077,429,222,345,571,285,768,
709,785,065,506,143,069,561,681,795,242,621,914,062,296,864,791,001,610,219,
299,235,213,923,658,449,891,879,466,691,507,669,646,566,395,747,054,407,092,
199,865,012,175,854,383,422,170,528,907,175,135,439,186,535,069,168,383,075,
738,192,723,227,646,748,784,038,501,947,313,777,633,847,614,176,887,215,629,
264,442,978,661,635,733,832,960,505,045,143,717,011,819,043,476,259,429,590,
365,909,937,268,759,145,119,389,699,852,704,415,785,500,272,026,640,056,326,
022,944,608,258,787,775,032,974,396,539,545,724,123,990,396,704,199,779,302,
042,858,537,010,066,611,916,621,497,715,616,508,497,733,686,617,916,741,835,
925,953,956,061,671,294,938,351,912,880,719,663,261,662,705,913,327,173,851,
242,825,744,202,179,297,216,903,862,915,486,932,329,311,055,188,949,023,814,
764,711,287,275,665,829,777,300,245,280,724,896,236,554,739,970,321,620,757,
897,742,527,257,253,720,048,034,356,686,381,661,189,153,262,822,607,270,679,
510,724,082,764,225,601,697,337,059,987,946,978,552,420,880,716,690,583,107,
913,528,166,525,374,656,182,254,023,614,625,349,871,590,423,205,550,087,493,
333,622,121,131,366,348,931,822,209,915,027,162,882,948,955,368,940,799,413,
655,338,068,738,885,680,452,528,625,015,142,910,464,674,696,850,891,026,424,
065,904,547,561,983,653,430,923,146,000,563,843,715,457,408,435,943,383,635,
140,868,207,560,378,782,048,718,545,543,347,949,905,960,413,265,212,527,966,
066,844,084,615,602,370,932,099,427,499,966,178,096,416,109,328,259,283,217,
780,048,791,331,599,168,116,862,963,756,514,342,847,042,919,388,405,298,403,
399,144,755,603,439,620,094,275,261,616,493,800,479,069,366,795,665,779,463,
435,637,547,277,887,362,172,954,154,326,772,717,645,201,231,265,594,350,377,
568,634,312,929,910,299,361,328,128,353,238,057,594,019,290,269,420,683,527,
174,935,729,703,282,469,187,281,205,697,523,455,529,203,237,744,313,972,016,
266,598,765,682,897,059,576,223,362,546,340,799,836,983,395,647,010,294,840,
047,889,338,243,501,495,281,212,857,382,726,702,772,047,403,330,629,688,245,
940,581,038,159,949,009,173,616,708,998,482,396,554,297,684,219,071,871,004,
661,424,917,580,283,059,889,012,804,477,587,519,316,916,609,257,392,559,262,
482,486,127,443,204,699,877,220,870,665,595,016,867,225,009,991,340,294,390,
452,064,519,705,656,814,874,404,905,469,468,498,063,255,131,417,159,388,346,
531,092,514,235,663,020,822,352,844,033,724,172,060,428,567,970,580,938,315,
040,713,308,235,471,601,429,517,433,004,254,158,602,682,887,635,482,851,703,
233,230,433,835,270,235,139,561,856,022,587,960,300,685,726,869,660,231,965,
704,089,651,779,093,060,857,655,274,297,451,149,261,700,817,728,876,661,709,
697,466,778,602,523,176,178,610,376,055,540,039,268,556,672,758,148,870,668,
223,798,619,575,109,869,352,655,961,012,112,179,778,444,934,768,741,559,495,
543,494,135,014,260,701,376,754,230,093,421,428,977,885,531,412,461,368,059,
239,512,084,149,870,170,440,506,859,538,492,934,829,773,858,948,883,737,819,
083,400,203,071,766,596,131,775,947,468,412,197,929,223,141,943,307,103,959,
241,708,663,022,647,399,549,349,223,771,642,218,242,533,392,518,907,957,208,
832,830,185,631,268,760,374,955,544,493,496,078,855,598,149,555,984,760,506,
656,457,680,061,044,216,906,154,820,719,108,622,823,750,023,504,646,091,452,
614,393,883,588,159,549,652,157,838,021,792,311,263,244,841,046,169,447,103,
651,324,662,678,052,861,353,108,454,734,532,372,238,690,773,696,890,084,830,
650,951,853,192,170,030,292,866,756,521,730,225,415,183,503,124,653,729,552,
373,061,324,312,690,076,834,623,540,647,023,979,080,173,043,280,917,507,627,
065,427,740,471,311,167,371,327,409,181,730,044,938,446,263,549,673,437,463,
547,202,414,968,791,350,478,687,432,674,544,061,115,308,528,615,605,866,787,
990,335,568,576,265,267,791,028,423,182,005,961,755,922,450,958,511,172,420,
041,968,468,632,209,572,109,003,711,117,276,482,923,815,607,681,611,668,358,
115,372,906,107,540,240,739,481,626,785,958,791,896,737,797,297,831,499,813,
497,342,109,611,906,330,412,521,829,847,702,904,789,397,067,673,911,753,298,
400,181,208,342,400,487,209,106,153,349,458,842,388,905,477,133,617,005,862,
985,435,745,788,903,727,786,084,915,508,228,677,518,567,218,829,937,168,296,
665,775,954,752,768,943,394,001,681,388,109,592,149,296,041,877,340,762,399,
342,507,494,658,610,245,269,868,073,959,958,147,184,248,611,133,458,789,764,
550,940,362,044,714,745,246,624,899,199,479,939,002,176,748,357,443,721,592,
872,791,935,605,615,766,936,792,242,495,970,521,919,059,159,690,198,295,011,
484,510,526,210,399,937,461,994,645,935,587,764,818,860,678,046,825,337,181,
927,018,611,578,228,434,093,596,849,478,290,084,655,587,254,852,847,829,287,
593,758,572,027,988,848,112,685,504,956,876,788,885,053,810,484,055,196,751,
243,577,907,292,330,740,657,153,607,020,142,957,470,064,620,186,357,981,014,
938,601,280,619,458,561,535,643,450,687,621,454,999,085,436,377,490,771,720,
369,235,105,417,260,904,741,713,238,601,943,433,472,968,372,040,128,423,259,
389,753,710,136,149,897,151,771,964,908,599,410,855,582,517,296,597,702,534,
823,756,265,122,853,922,541,310,172,373,408,978,122,724,856,863,449,537,545,
897,421,397,573,845,743,154,316,914,348,157,695,102,535,457,973,391,470,062,
899,545,287,730,073,706,553,776,299,755,170,065,557,977,585,436,609,875,889,
038,823,322,843,725,612,856,088,362,489,136,939,758,883,239,374,906,390,355,
931,786,769,269,747,822,617,798,388,646,431,880,154,295,953,343,082,216,546,
396,496,512,909,613,052,795,554,646,778,656,371,211,801,340,537,518,328,735,
430,432,324,187,854,274,331,769,818,894,438,483,531,178,332,058,046,582,856,
578,628,835,392,975,986,906,710,633,726,220,958,767,473,688,338,700,091,301,
453,164,447,593,213,652,956,019,194,919,754,912,821,245,146,533,627,773,682,
259,290,701,886,381,256,539,541,455,283,926,339,311,815,667,788,938,335,986,
632,669,823,567,127,169,379,250,831,455,179,956,085,448,033,773,816,077,148,
810,251,851,654,222,576,411,282,912,462,946,653,880,814,426,766,163,503,151,
429,082,165,799,628,316,538,253,226,467,137,804,776,909,122,990,435,492,181,
441,629,691,012,557,139,906,380,668,471,058,051,607,061,314,284,007,487,946,
022,831,406,313,641,269,820,252,188,952,342,888,215,452,471,712,123,051,247,
031,784,101,575,554,056,517,933,622,112,954,314,080,118,973,399,056,728,833,
352,812,129,395,642,310,995,010,010,087,577,642,331,921,307,018,318,805,628,
882,035,367,559,210,936,812,505,184,851,525,522,285,323,342,353,602,337,945,
335,917,996,902,211,797,116,551,589,648,935,350,877,391,896,527,752,387,592,
369,667,353,609,980,044,091,622,427,480,556,816,959,154,228,545,304,439,478,
227,632,929,542,529,218,528,612,299,308,636,742,329,294,717,456,323,935,172,
469,576,497,674,584,860,757,472,118,070,976,819,124,952,421,785,911,971,546,
874,888,533,983,410,165,619,714,678,683,486,655,521,627,240,761,544,865,669,
007,358,603,990,016,217,984,952,554,796,153,968,453,521,461,317,094,863,461,
841,727,757,817,921,550,059,641,986,480,614,326,325,646,140,919,676,368,709,
993,154,445,655,554,851,134,182,208,068,365,747,689,153,287,191,236,403,989,
094,810,965,313,882,342,092,956,744,749,975,582,860,771,983,671,747,806,155,
271,900,439,479,687,004,761,427,671,637,935,363,544,256,601,047,688,357,593,
481,962,070,659,318,238,297,896,686,446,420,981,148,629,107,752,843,230,615,
220,389,064,768,619,415,383,801,694,380,207,536,905,149,881,542,383,680,613,
746,709,792,995,255,158,273,786,687,805,745,865,914,471,545,926,607,132,584,
712,005,585,051,020,915,573,373,252,094,011,202,034,479,555,239,958,185,314,
723,651,747,013,005,025,769,841,981,232,673,587,689,565,260,935,928,806,087,
943,672,328,507,774,642,867,136,414,487,904,127,963,872,884,620,867,004,892,
893,983,116,325,952,259,303,838,321,032,252,694,624,908,861,888,555,718,633,
806,082,951,011,347,124,040,774,894,115,301,593,380,952,571,159,115,303,413,
229,749,157,396,633,794,392,674,455,508,799,481,309,647,848,324,273,431,036,
410,902,059,745,051,620,315,346,602,469,585,951,358,644,721,979,668,379,827,
044,402,215,724,030,669,387,929,132,603,483,406,924,756,285,290,132,177,237,
727,218,600,049,179,665,749,183,092,816,814,417,219,551,530,110,686,619,879,
335,231,223,710,308,493,659,558,153,514,986,138,431,084,933,899,548,796,719,
022,804,694,776,774,607,877,950,724,344,358,755,098,991,836,909,739,249,730,
715,405,467,860,074,872,981,134,870,844,049,952,793,211,253,761,796,056,103,
901,106,918,340,970,214,941,396,059,509,941,191,626,856,157,446,559,801,668,
832,999,662,077,054,652,691,406,326,784,290,591,892,072,627,020,641,233,251,
592,026,413,157,567,479,593,252,221,076,172,245,810,053,763,782,105,484,331,
855,953,270,809,714,835,097,631,308,288,192,685,895,433,985,722,857,379,045,
102,727,731,470,658,630,863,423,703,276,619,082,699,408,645,513,405,231,641,
690,871,185,101,537,372,653,223,613,356,466,871,159,444,509,910,373,427,312,
508,550,288,518,666,345,373,925,701,104,698,381,006,949,744,964,074,412,719,
481,424,249,254,254,880,233,825,727,585,408,893,428,418,031,351,428,150,728,
592,811,214,774,073,052,389,728,749,307,919,176,885,651,227,169,089,889,715,
539,653,237,197,009,345,410,203,975,205,427,195,008,205,656,116,690,470,076,
764,081,805,006,243,949,069,256,266,868,052,663,264,701,977,289,081,988,489,
197,388,706,128,456,625,810,401,510,248,607,439,806,098,940,698,856,375,624,
026,583,369,036,406,138,662,904,965,210,715,889,031,167,424,881,219,344,321,
482,044,159,564,308,461,716,922,755,714,659,057,872,482,451,965,786,558,791,
424,018,461,366,935,680,347,415,423,224,797,547,246,271,049,372,243,945,038,
147,877,692,683,718,500,612,962,087,778,101,027,703,064,100,553,075,237,938,
956,161,733,787,838,289,473,781,342,976,262,714,867,020,184,758,374,296,798,
074,462,458,145,146,132,058,303,208,815,120,245,043,271,385,511,159,975,840,
600,259,269,050,211,211,841,384,249,843,446,012,441,135,720,076,511,221,032,
130,436,906,630,185,298,204,691,175,470,317,169,305,630,334,274,716,782,917,
902,783,563,031,963,387,990,198,777,234,669,082,660,438,155,700,744,947,829,
166,313,490,209,127,854,573,031,498,075,484,363,237,889,102,629,522,490,644,
436,703,541,903,198,028,542,029,713,932,275,445,038,888,746,860,271,204,172,
496,819,873,078,087,517,309,113,523,827,128,742,341,537,415,910,448,192,096,
301,130,237,722,355,711,409,394,060,036,817,694,768,880,977,930,195,702,484,
898,771,188,473,723,904,778,865,790,755,442,833,542,748,150,100,006,218,559,
958,661,598,385,331,624,983,454,388,551,509,483,142,933,579,287,981,885,629,
517,769,074,201,687,750,523,102,841,275,065,005,677,509,259,601,135,708,781,
770,263,759,212,268,735,744,685,332,333,531,653,427,276,469,741,366,799,267,
608,342,057,651,587,693,977,700,150,146,919,734,902,415,264,650,890,615,336,
037,328,049,917,448,776,245,904,434,853,156,890,540,031,028,307,643,761,222,
697,122,572,652,322,803,670,145,670,862,968,954,959,455,601,362,439,238,645,
615,568,981,640,524,699,333,725,024,913,221,164,377,714,116,181,808,446,232,
605,026,937,975,960,879,640,258,644,030,066,448,471,946,653,376,093,520,511,
044,466,757,704,450,690,405,818,047,190,811,684,765,263,667,065,257,632,987,
328,542,513,715,321,646,681,444,860,336,827,806,569,105,154,751,971,244,006,
727,995,998,179,452,989,106,956,943,789,736,150,696,397,970,510,930,909,869,
667,291,621,271,606,030,534,883,175,813,659,507,920,591,250,289,516,667,002,
775,063,039,440,267,354,480,879,456,253,136,358,853,751,492,468,430,799,539,
177,718,352,133,247,217,642,633,557,275,644,526,776,889,249,267,676,842,737,
415,336,090,823,712,972,216,019,402,470,143,677,105,386,745,504,228,431,875,
274,520,772,084,328,825,122,888,279,391,058,088,102,486,785,316,754,637,522,
423,301,496,022,952,143,548,023,174,718,004,453,273,412,240,143,542,396,321,
736,951,786,413,884,318,582,694,833,997,356,780,575,591,947,129,841,867,909,
772,149,060,505,120,801,646,398,820,668,891,702,402,523,644,491,814,619,985,
082,350,524,526,504,443,396,185,871,553,132,089,553,988,773,396,404,053,302,
431,352,900,681,686,836,539,498,664,880,350,136,036,137,476,711,698,429,391,
448,781,819,082,209,477,267,744,088,826,206,710,470,259,847,194,729,737,984,
928,162,286,837,364,073,221,341,028,486,282,240,676,464,526,209,697,716,806,
584,301,510,273,640,604,917,749,133,708,845,862,661,967,706,250,342,573,749,
770,989,609,689,160,798,833,962,106,121,177,534,796,249,881,137,944,187,104,
349,947,102,833,928,472,962,707,813,936,556,472,117,259,218,343,322,548,060,
062,242,321,188,020,439,893,686,182,415,955,411,539,289,825,930,071,040,879,
993,234,858,334,335,100,037,122,410,569,018,766,617,627,952,441,018,239,144,
054,802,931,139,031,362,599,932,648,629,183,222,692,145,428,130,738,947,781,
292,328,598,065,684,434,667,872,489,253,307,909,771,713,694,637,042,994,913,
434,450,853,141,668,113,753,600,387,669,598,038,129,342,504,968,233,873,768,
199,519,229,362,440,580,637,186,113,269,757,479,247,083,573,065,424,285,332,
141,927,327,507,234,075,910,136,222,677,275,062,357,873,250,424,964,067,325,
903,433,656,691,993,156,749,000,347,250,015,906,029,266,961,669,898,581,162,
230,267,478,731,098,088,170,710,561,389,437,214,003,670,001,718,577,741,568,
866,719,049,608,355,775,165,664,161,879,270,195,074,275,022,592,988,535,348,
940,924,129,529,195,852,361,886,083,784,707,023,862,044,374,732,400,513,928,
552,299,657,883,937,114,448,132,977,769,794,134,922,639,450,679,724,108,500,
432,835,660,174,974,647,722,398,275,926,005,951,797,303,034,447,771,834,795,
711,780,635,116,079,433,589,475,695,360,042,090,329,992,419,281,714,773,476,
236,587,253,463,438,338,633,880,891,335,196,990,765,468,365,137,506,921,261,
235,272,847,502,936,369,415,504,184,017,136,124,066,046,340,821,086,735,457,
335,226,766,699,001,648,998,606,406,329,949,551,355,576,792,045,433,487,379,
880,169,042,362,004,299,255,563,112,498,004,547,496,603,314,571,167,119,559,
313,812,431,822,313,855,044,190,556,247,748,805,438,037,680,129,000,275,744,
240,207,355,530,724,353,800,986,006,731,394,925,682,037,158,637,653,342,699,
626,225,174,234,935,617,942,876,415,799,968,212,819,532,763,508,721,631,071,
015,855,424,249,992,949,449,114,297,572,151,584,412,136,795,207,709,903,341,
678,939,325,658,071,358,885,122,106,266,970,236,023,883,354,927,058,166,376,
049,364,690,911,555,412,861,469,105,554,286,137,585,560,361,083,177,331,851,
894,888,472,031,963,654,821,867,276,317,919,306,291,299,102,552,315,248,628,
883,071,255,740,480,518,906,735,992,605,357,255,838,519,391,240,976,218,934,
913,562,393,137,216,353,224,647,835,588,963,575,428,522,646,936,969,289,830,
358,785,163,596,496,651,512,664,316,555,618,710,696,101,576,692,193,993,790,
231,935,659,071,644,029,274,861,986,561,683,700,664,447,785,672,944,254,525,
145,317,598,450,767,501,265,188,595,322,367,018,753,208,272,382,190,517,325,
399,550,717,530,424,141,317,404,262,517,046,253,494,147,889,198,678,654,775,
456,152,503,287,025,781,390,825,566,852,702,536,541,219,349,441,195,684,576,
924,935,221,710,413,442,171,218,363,101,532,745,514,037,746,769,434,469,904,
178,895,508,956,873,151,539,505,847,468,585,973,481,321,019,367,503,771,327,
828,996,207,636,773,677,351,312,769,594,099,338,378,465,656,672,549,142,297,
986,774,586,648,727,478,844,071,378,566,818,587,608,491,741,400,693,340,534,
263,335,608,757,807,626,546,495,385,558,377,761,964,727,021,783,371,529,867,
819,618,810,259,194,446,702,538,540,219,869,227,286,900,726,543,526,785,965,
507,372,885,740,103,952,450,035,395,034,820,336,061,186,815,996,137,958,420,
428,138,502,802,938,552,471,726,029,059,486,332,407,194,234,351,717,481,231,
612,801,552,541,572,573,485,827,568,583,457,397,040,118,500,795,004,340,738,
794,405,380,544,075,335,634,862,828,379,061,781,836,256,329,857,284,862,456,
349,064,970,165,877,816,747,608,224,694,000,996,554,053,814,717,952,956,356,
282,974,398,945,425,363,186,784,478,608,875,169,832,299,270,928,762,504,762,
199,664,505,600,459,878,931,629,601,234,243,231,089,112,508,977,717,598,789,
491,392,020,639,807,170,435,295,765,634,217,407,487,998,659,005,150,132,418,
559,725,318,716,523,777,420,294,496,648,934,760,655,190,321,614,000,999,685,
488,270,908,558,010,381,605,736,015,172,588,914,190,934,530,979,196,904,806,
257,439,218,250,927,746,082,677,758,296,569,434,629,117,881,372,084,743,192,
708,534,949,888,450,229,692,341,602,987,553,286,586,851,041,935,746,525,411,
744,524,981,843,178,169,476,670,910,091,704,308,249,471,917,200,195,958,469,
475,595,003,706,961,826,809,870,102,013,823,832,526,390,232,403,138,109,735,
890,221,183,204,527,761,905,100,075,659,123,335,244,793,601,425,018,125,921,
337,841,965,189,373,478,272,370,977,930,133,655,685,805,231,854,833,445,684,
179,853,804,352,422,280,560,480,395,231,238,856,428,857,403,387,245,884,337,
870,853,867,576,675,852,432,828,291,500,024,900,635,027,533,118,604,936,349,
121,839,407,096,252,782,151,242,503,034,705,146,780,688,649,258,397,736,210,
121,114,359,682,298,455,854,267,900,731,971,557,843,345,561,541,934,129,094,
678,691,408,601,960,190,854,921,029,465,434,686,148,349,421,435,761,139,257,
537,383,512,111,705,683,870,106,091,386,512,245,833,799,639,682,617,178,098,
601,506,395,327,791,842,809,536,135,856,198,319,515,192,965,026,016,609,408,
464,207,797,809,617,314,941,683,172,199,063,381,373,482,862,946,010,463,980,
925,506,509,179,967,900,027,143,256,384,711,384,089,374,957,988,931,190,814,
890,658,568,032,610,788,287,201,133,531,835,995,424,374,430,485,895,788,542,
965,428,312,458,778,200,032,882,309,207,680,754,818,567,138,480,654,883,487,
023,199,514,155,739,925,630,987,049,064,021,060,345,679,727,957,026,624,786,
879,371,154,747,138,637,951,713,562,390,202,953,026,568,650,228,013,331,705,
127,866,662,822,042,032,680,167,638,548,156,830,519,386,075,964,561,093,559,
528,398,582,222,000,505,249,897,014,719,979,504,023,363,427,529,679,375,778,
246,591,907,925,179,961,483,810,166,263,338,645,591,920,272,595,180,594,240,
679,146,785,398,926,621,508,620,871,086,357,696,826,702,803,269,327,143,155,
455,812,123,936,662,713,465,907,659,671,651,428,602,788,913,912,639,740,599,
133,626,783,044,876,312,418,159,267,134,806,742,263,596,657,983,573,872,610,
897,425,370,385,383,948,685,757,393,708,316,474,739,224,772,830,779,997,416,
902,035,663,705,717,921,144,322,383,639,341,055,214,187,957,528,711,232,474,
085,727,173,886,539,416,556,490,462,471,327,292,250,313,073,710,383,317,745,
885,433,532,771,718,501,258,220,887,832,707,869,595,967,149,304,423,444,966,
164,631,075,597,020,484,142,083,766,774,703,300,106,229,303,290,861,158,166,
815,558,857,296,326,619,667,056,261,689,149,270,200,766,895,382,628,009,295,
458,688,662,646,559,379,879,745,293,845,559,308,367,200,973,974,275,359,559,
375,837,766,249,468,617,713,705,335,811,550,655,021,753,269,080,441,182,063,
159,563,409,245,129,642,326,499,294,112,533,765,123,044,596,405,409,919,427,
219,386,987,757,460,768,415,014,012,069,527,833,325,003,082,754,730,804,220,
343,147,095,222,658,574,951,442,158,969,237,029,962,478,305,699,059,311,340,
279,944,157,993,222,758,910,076,496,850,523,578,081,877,059,791,473,239,749,
269,194,712,285,747,405,285,925,003,478,664,873,981,928,701,916,193,950,254,
712,360,447,612,405,891,704,629,786,058,854,397,002,059,512,366,738,746,156,
456,254,833,137,705,630,576,646,920,759,427,493,601,071,853,245,328,246,582,
126,546,999,660,002,530,810,127,374,299,157,890,372,962,515,853,033,552,760,
729,400,755,489,747,549,029,491,815,178,428,084,089,953,214,824,788,928,104,
549,630,811,121,778,532,161,854,466,396,966,706,353,783,612,661,189,507,039,
684,667,840,657,820,186,201,918,066,486,800,568,713,398,523,057,674,308,375,
801,191,121,593,581,869,092,888,450,965,658,465,246,772,692,615,834,398,581,
876,186,731,059,190,094,852,923,405,535,963,435,731,184,869,240,032,489,405,
266,187,904,082,651,682,160,737,532,845,056,847,626,552,288,846,154,531,041,
384,678,620,651,614,470,623,407,893,142,766,086,534,388,864,870,526,527,931,
114,173,601,154,448,059,124,915,662,954,477,282,348,951,356,161,648,615,013,
280,649,427,720,857,334,003,139,020,182,756,991,168,266,482,006,787,520,492,
694,939,540,068,646,146,281,354,733,099,270,102,074,266,919,835,901,776,190,
910,147,059,642,132,209,335,162,063,451,240,888,307,042,718,478,387,513,618,
210,665,159,934,137,148,860,129,913,084,905,406,676,313,159,192,777,377,468,
226,887,292,242,668,878,687,469,392,372,908,792,134,631,596,384,543,851,485,
455,379,024,783,173,624,732,359,766,248,131,005,565,048,751,695,366,461,308,
987,065,654,998,620,342,918,477,178,663,562,408,416,937,602,020,570,382,223,
356,255,906,691,746,188,139,914,656,101,150,326,442,915,323,166,113,684,847,
180,616,676,801,960,448,790,365,541,363,400,390,127,321,446,391,115,283,257,
991,159,729,728,286,946,592,288,760,934,328,779,086,393,963,532,794,379,697,
265,967,433,200,332,514,541,803,311,151,830,846,368,945,790,788,435,015,142,
556,763,063,121,261,051,560,476,604,408,488,407,032,269,367,960,623,542,606,
141,376,766,613,015,497,078,221,135,098,122,999,399,831,049,267,728,575,937,
040,431,281,105,490,808,192,236,668,134,345,782,245,394,305,783,862,338,697,
139,448,976,819,915,062,355,954,710,635,338,679,832,223,775,890,940,050,926,
320,913,324,245,456,144,429,138,347,589,205,960,375,538,543,381,115,164,824,
739,370,006,738,013,975,880,122,699,072,124,811,882,906,891,134,075,722,753,
079,501,372,779,573,678,832,035,740,593,292,075,867,264,183,838,839,606,376,
251,331,767,596,386,979,093,392,125,683,651,186,557,523,732,208,017,153,269,
391,738,882,351,218,430,177,563,497,965,943,139,757,896,216,090,279,881,399,
584,187,384,028,135,605,805,926,233,923,713,359,143,595,425,635,322,579,010,
351,426,774,881,917,058,073,102,847,437,481,916,873,798,629,531,144,817,371,
541,874,886,034,196,463,105,154,803,105,968,321,383,667,229,182,148,370,962,
197,578,011,609,513,396,446,658,541,298,390,297,898,462,243,541,342,475,973,
179,869,111,383,309,914,804,912,520,434,433,117,984,603,881,320,161,684,143,
439,959,390,536,404,966,180,908,254,638,612,106,986,644,051,794,536,899,946,
467,078,372,982,544,075,335,654,518,716,984,576,056,085,012,946,917,557,049,
942,304,907,611,344,484,013,468,592,167,779,967,521,555,645,053,300,796,635,
383,477,638,200,900,141,746,539,071,450,915,714,989,519,182,743,946,049,935,
954,804,479,168,801,938,617,321,280,030,304,349,385,592,428,021,498,247,606,
923,999,211,993,165,321,861,132,691,518,725,926,003,289,932,827,517,427,668,
781,494,648,572,848,092,809,991,766,223,490,037,449,578,325,662,244,623,792,
265,918,860,586,766,186,463,671,647,580,304,818,374,370,201,449,677,660,268,
485,239,439,476,043,127,853,338,371,421,411,346,089,805,600,129,915,428,751,
657,701,008,160,925,061,578,085,192,179,819,623,108,097,324,294,853,829,057,
151,327,263,453,072,119,602,283,190,124,652,524,411,830,304,034,589,856,089,
536,280,516,341,062,144,463,311,828,580,267,813,804,347,432,765,280,267,912,
750,667,724,281,152,811,954,655,541,250,133,990,388,697,659,415,788,254,225,
392,137,611,437,036,669,772,331,619,063,303,533,372,596,911,397,171,958,872,
675,764,429,874,025,798,464,594,440,002,473,751,061,587,824,160,095,903,907,
728,502,714,817,100,118,761,174,691,065,280,497,954,493,694,418,481,565,346,
429,473,051,606,178,238,380,712,094,337,622,417,201,621,263,206,704,275,907,
534,773,363,618,194,620,555,990,449,994,741,558,040,824,858,667,984,840,462,
673,322,357,454,329,362,850,936,120,785,812,497,815,443,386,826,706,502,200,
126,776,321,457,324,734,236,546,687,427,776,728,063,738,448,245,386,674,059,
563,031,638,878,457,656,430,303,536,182,879,555,379,029,077,486,642,597,856,
109,637,994,410,587,083,128,515,691,738,904,875,893,442,932,300,043,660,264,
186,360,575,464,754,592,841,192,617,166,041,205,150,674,116,134,163,773,120,
276,872,701,030,263,860,347,978,880,164,247,686,573,964,140,281,219,648,126,
320,335,099,333,282,575,128,471,364,914,515,050,390,778,305,744,208,486,073,
083,799,285,570,041,629,381,466,701,034,845,562,080,229,778,705,161,329,826,
569,866,341,048,737,527,224,572,660,846,094,095,290,252,096,377,462,005,788,
374,589,615,524,137,615,952,100,735,670,758,914,482,926,063,915,856,361,460,
814,927,017,520,031,712,070,771,464,275,781,943,422,318,437,384,427,163,562,
308,196,046,253,695,802,099,413,781,697,897,591,973,316,275,928,195,191,724,
993,071,931,967,635,674,044,861,156,408,893,590,767,159,235,890,339,645,759,
011,074,060,357,140,600,451,334,125,130,644,307,012,663,853,987,602,309,680,
101,865,747,801,730,043,187,373,581,288,229,827,271,407,190,224,688,134,781,
410,795,065,526,948,203,271,622,982,345,302,482,691,483,806,429,209,265,568,
492,144,130,642,610,433,530,580,146,765,372,980,067,828,410,135,634,646,589,
273,315,483,441,357,664,534,925,382,246,718,884,296,387,150,313,364,250,022,
191,833,063,826,573,374,164,128,742,334,339,342,260,247,144,448,044,145,642,
105,233,777,867,555,656,231,523,503,991,641,185,759,116,882,319,743,739,716,
897,110,682,137,681,941,496,060,945,577,164,511,632,439,685,437,275,821,920,
544,041,121,023,316,473,464,034,344,905,690,535,332,965,186,024,032,515,404,
976,846,707,277,143,008,486,998,749,347,343,897,256,273,533,473,317,165,268,
199,602,355,585,460,690,719,427,740,911,361,093,042,007,435,030,560,967,677,
131,019,517,474,677,346,700,735,871,393,170,094,109,294,751,660,516,229,856,
551,623,336,253,677,338,565,677,258,482,349,659,745,906,011,588,514,837,413,
542,154,191,014,393,310,689,138,180,066,840,817,621,291,206,557,097,554,010,
589,384,948,119,829,023,465,177,506,714,360,905,303,441,277,434,540,447,044,
690,413,072,623,430,605,219,196,597,103,187,719,880,450,568,766,932,650,841,
802,077,500,307,698,149,239,765,363,186,527,997,140,466,417,773,283,391,950,
345,101,872,038,401,816,450,828,585,543,920,772,815,016,331,497,673,609,837,
271,809,104,661,712,028,476,616,129,570,825,442,170,395,667,085,850,570,978,
840,920,194,642,764,028,781,801,686,466,993,376,249,928,447,134,129,541,200,
592,268,580,744,736,029,613,020,945,861,138,596,871,107,430,462,366,738,133,
109,690,555,304,946,613,727,980,455,513,898,089,046,798,758,690,779,375,064,
535,976,315,178,718,222,678,576,684,401,940,843,613,740,810,480,862,825,863,
486,956,492,450,408,657,236,270,339,762,044,956,494,521,022,476,881,812,115,
112,538,626,696,214,557,250,553,567,200,668,812,499,590,038,527,219,282,726,
825,907,030,593,282,573,843,696,654,262,015,901,920,909,100,772,665,596,355,
067,576,914,340,770,977,583,798,211,584,214,614,380,601,159,946,917,686,794,
890,568,497,336,096,141,960,105,132,356,490,949,796,102,100,984,847,912,591,
683,019,182,607,173,887,385,271,244,073,056,774,967,914,129,712,487,522,740,
224,009,650,840,999,690,534,157,964,488,977,558,163,554,641,583,196,061,418,
647,724,374,792,503,780,852,756,637,532,098,895,174,438,100,509,588,569,518,
201,059,025,045,001,903,819,677,594,493,377,446,667,583,561,919,294,226,472,
774,314,265,657,534,246,003,007,086,109,353,358,471,161,022,004,817,103,871,
681,860,207,987,176,004,468,637,162,728,829,399,968,351,019,665,087,287,182,
868,089,147,943,453,345,837,676,322,324,221,180,126,228,606,039,829,310,663,
488,203,234,836,103,779,883,435,156,300,749,263,399,187,039,678,273,785,000,
590,419,801,151,905,632,336,771,856,116,697,237,308,141,183,947,096,973,617,
434,939,503,503,770,228,650,526,481,448,475,954,911,339,188,622,342,472,878,
751,312,424,134,524,798,337,362,560,993,317,399,615,469,885,360,048,720,275,
080,445,015,555,541,188,210,692,315,782,819,088,624,092,993,259,783,237,639,
630,800,742,362,037,418,562,294,527,846,230,062,187,292,428,619,279,766,155,
896,983,768,896,239,474,768,676,352,078,310,717,559,067,118,861,930,185,220,
928,433,016,373,541,561,207,969,062,373,920,718,187,365,717,694,928,337,436,
770,934,826,680,554,130,369,385,887,226,702,895,463,070,590,800,518,123,048,
653,886,261,413,149,136,019,537,318,167,095,277,529,058,460,751,823,699,945,
397,138,820,363,857,760,789,606,771,759,058,564,070,427,466,226,146,263,996,
036,140,974,283,123,846,263,615,416,723,869,106,172,999,986,275,779,057,122,
845,716,000,572,348,390,697,654,316,308,524,590,062,637,041,918,106,008,306,
132,542,700,257,052,481,775,046,310,617,039,104,241,813,891,088,880,032,574,
314,257,903,823,373,255,148,822,968,184,902,174,433,979,051,902,171,935,877,
392,314,677,612,800,276,080,595,877,347,469,402,667,292,411,415,578,066,947,
274,953,929,608,697,376,597,730,120,933,203,084,749,301,840,197,245,216,080,
254,963,757,606,268,799,941,045,173,611,666,968,968,697,072,546,294,705,822,
756,491,552,101,256,448,057,886,208,828,731,076,194,532,301,258,354,756,302,
550,211,930,477,979,921,219,394,857,159,312,017,093,890,980,337,015,996,178,
281,995,345,718,309,839,604,912,426,282,285,378,162,200,313,819,710,009,549,
780,554,285,404,836,113,202,144,946,865,255,756,451,710,788,114,366,870,620,
575,110,888,761,337,475,576,120,923,129,478,674,945,472,434,426,969,422,925,
274,886,622,836,644,258,434,687,023,778,868,270,951,481,920,032,431,936,823,
818,267,756,175,073,394,943,713,235,241,089,405,171,530,523,452,720,567,946,
636,384,947,989,128,133,143,745,733,404,585,936,422,803,703,978,920,286,925,
810,070,880,217,541,408,715,193,617,588,118,196,592,459,867,337,666,695,019,
346,032,434,115,915,968,606,440,196,538,652,973,728,486,856,560,958,080,250,
492,630,185,005,283,909,410,735,399,444,426,474,031,034,309,709,731,696,242,
359,286,956,493,023,796,427,447,330,744,269,791,788,927,803,555,704,301,691,
172,814,219,843,718,854,353,916,707,133,928,231,120,011,917,190,397,463,899,
110,849,001,144,220,984,504,076,894,707,423,273,657,824,170,372,046,763,037,
354,354,446,238,604,853,378,225,668,528,611,418,057,897,616,685,151,341,314,
401,950,041,351,312,354,436,603,679,334,548,012,708,377,462,731,392,530,784,
357,769,958,873,549,076,108,333,542,433,352,642,811,247,522,950,550,359,557,
329,265,363,000,193,314,937,596,048,244,175,755,345,085,525,844,454,628,053,
175,822,168,786,975,824,367,239,655,850,995,115,146,509,257,365,388,897,999,
337,323,197,207,615,310,339,581,595,606,665,135,304,489,612,698,737,646,358,
137,111,222,997,075,413,322,646,263,758,129,630,323,373,514,027,539,263,253,
702,540,014,770,407,147,674,006,784,476,904,407,398,560,662,267,656,707,322,
069,258,955,242,599,846,346,179,705,908,665,045,981,861,896,637,345,766,913,
625,993,242,978,838,609,142,647,863,240,971,327,506,686,328,688,004,918,261,
514,672,371,621,170,215,679,075,339,354,837,683,223,293,486,049,876,406,862,
547,244,057,622,006,954,409,751,070,431,184,318,335,608,973,725,630,677,669,
527,096,741,122,450,195,549,919,799,698,951,669,072,356,991,402,370,868,032,
001,369,515,071,133,905,007,872,038,882,529,837,017,242,138,123,722,629,368,
902,181,152,801,332,106,629,471,404,929,833,001,115,241,129,453,436,146,025,
786,493,137,994,528,789,647,908,956,380,827,264,280,678,372,177,186,101,175,
635,458,462,475,568,963,812,276,741,237,020,251,380,749,136,334,646,040,168,
055,766,360,775,417,537,277,843,997,033,479,052,616,138,955,200,949,772,217,
285,883,479,459,648,382,510,908,365,481,251,660,116,637,090,642,749,327,860,
677,602,205,126,429,375,092,347,399,410,024,532,791,964,806,772,473,316,254,
885,350,436,533,960,274,491,637,128,277,893,043,420,200,204,165,672,698,491,
730,902,138,739,107,638,297,477,278,434,462,769,576,746,650,536,965,604,351,
398,054,166,272,228,288,776,603,309,739,122,994,647,850,225,834,041,999,506,
005,801,841,909,641,946,815,997,144,182,924,602,671,771,185,817,119,224,868,
215,584,874,712,520,444,550,148,368,828,565,223,618,373,663,080,603,954,577,
492,191,380,966,926,763,292,041,244,824,980,430,452,060,502,129,431,465,445,
775,353,113,964,179,179,051,363,090,396,670,173,427,390,323,253,239,247,457,
873,798,078,019,642,288,677,671,854,198,615,282,187,282,555,204,450,267,144,
225,527,065,056,397,575,291,679,762,374,532,356,004,122,714,877,247,834,629,
002,809,449,472,798,453,788,349,987,588,386,536,144,653,681,087,999,425,787,
098,321,894,579,894,874,707,533,713,196,001,380,974,764,131,392,645,191,630,
397,316,912,341,544,844,538,235,801,156,965,910,463,894,297,031,234,974,588,
394,711,071,721,494,349,185,563,351,884,353,823,642,104,604,814,260,838,222,
272,038,689,619,543,794,505,647,651,791,152,125,886,609,620,655,343,640,847,
963,898,872,619,783,157,999,426,399,280,628,996,838,189,984,232,009,636,845,
741,808,306,559,247,657,014,188,005,615,330,679,306,539,750,538,132,663,455,
611,302,740,469,888,499,707,245,720,109,242,178,022,054,467,702,822,718,864,
779,706,359,328,819,218,478,209,243,612,249,266,390,643,618,236,826,594,410,
811,601,213,328,037,157,536,509,860,921,554,883,906,936,201,627,693,034,747,
003,221,974,338,410,742,733,238,559,915,850,306,821,773,386,572,772,700,445,
248,790,698,374,590,141,576,231,275,494,743,438,676,932,614,186,980,154,234,
756,480,565,182,978,141,389,898,852,529,896,790,753,766,712,427,178,079,634,
589,848,930,020,711,948,389,768,572,128,367,197,514,488,613,417,091,611,760,
837,560,319,521,929,521,253,064,701,637,347,480,067,791,107,720,212,097,790,
825,091,818,891,035,731,304,667,154,149,682,811,846,465,036,855,914,417,973,
773,016,955,503,843,435,939,804,487,239,698,543,748,395,343,623,205,705,770,
250,389,304,769,888,629,602,040,374,105,164,678,812,236,268,846,920,970,372,
071,277,642,537,409,020,378,660,522,037,381,642,678,441,595,123,699,399,124,
453,340,401,416,755,354,268,277,845,974,568,677,340,218,885,192,248,335,534,
973,107,421,437,563,235,472,879,253,638,439,155,847,184,458,091,327,652,553,
826,681,461,540,757,113,534,058,400,368,872,564,283,014,139,155,349,963,974,
343,641,533,639,768,281,116,748,186,980,197,731,301,607,809,154,592,889,953,
708,587,290,626,559,200,907,556,498,616,813,029,420,728,020,356,544,991,806,
754,912,336,795,673,183,844,060,452,708,627,148,641,285,480,375,339,688,290,
262,619,821,647,309,726,577,736,322,550,593,262,280,691,419,544,514,880,972,
724,029,348,163,173,915,156,463,399,428,458,880,607,227,498,379,460,173,782,
221,233,348,878,028,784,068,614,079,576,955,255,370,438,302,998,952,124,510,
371,170,260,380,940,506,271,879,656,016,556,088,812,830,928,380,672,108,126,
844,495,328,520,672,586,581,008,429,478,762,553,293,204,390,566,555,640,927,
934,049,617,229,366,678,125,543,488,873,563,223,389,133,468,522,066,809,988,
830,750,065,714,793,271,626,630,113,679,659,324,261,701,583,107,524,705,630,
482,967,743,772,811,192,814,734,068,528,894,553,464,964,445,829,110,080,311,
019,783,330,024,981,191,698,363,595,750,397,194,895,595,854,937,765,498,076,
764,169,887,556,103,296,809,988,160,484,611,836,862,568,584,048,810,776,966,
331,833,488,289,468,346,179,386,215,647,652,545,197,875,895,423,027,784,028,
078,608,334,034,695,535,740,381,586,106,486,968,377,707,501,684,484,149,012,
955,120,496,797,120,307,639,757,814,187,038,600,159,966,795,538,505,372,548,
949,780,494,276,017,571,540,862,806,573,074,024,348,864,080,439,586,424,287,
545,844,146,798,788,302,763,070,383,530,757,135,338,607,620,885,894,429,752,
314,611,405,766,725,611,704,477,473,917,122,748,244,428,379,357,807,719,076,
328,672,297,646,818,671,292,883,355,177,360,505,686,016,827,745,688,165,978,
048,594,394,553,963,298,373,548,823,790,168,041,832,192,562,292,252,008,530,
954,743,828,828,502,761,666,141,130,389,477,752,918,578,525,886,132,949,717,
667,224,216,144,110,399,202,814,858,654,578,490,305,888,248,767,227,673,733,
302,067,497,828,941,864,332,664,910,514,728,655,410,639,664,418,984,038,890,
562,625,107,898,709,015,892,837,006,076,484,312,533,518,682,753,963,827,019,
279,324,426,506,515,690,367,953,387,322,690,425,070,159,946,155,330,894,902,
885,923,411,731,138,665,451,911,959,095,291,335,520,935,522,561,889,016,991,
676,512,908,610,685,965,193,239,527,264,366,517,930,102,249,032,994,785,174,
313,394,670,064,854,944,308,578,898,426,793,872,858,946,200,652,380,130,659,
404,450,358,221,632,704,649,696,630,999,158,799,398,735,775,319,946,617,287,
409,979,388,938,932,566,483,496,985,945,852,397,083,521,806,587,575,516,345,
034,354,365,176,858,771,217,293,734,925,083,113,870,910,130,375,570,930,020,
681,484,846,881,710,555,333,371,588,353,949,580,358,240,818,178,047,482,873,
605,267,110,236,289,426,742,311,199,123,682,176,895,146,840,930,333,103,138,
029,359,763,847,108,161,895,778,503,149,254,700,195,583,463,445,910,036,425,
794,887,497,954,959,294,607,585,804,950,682,755,261,490,313,700,346,726,449,
345,995,604,802,742,499,181,124,992,180,730,428,774,216,817,184,029,425,041,
747,696,777,972,587,074,283,227,750,528,389,207,001,030,676,685,169,042,309,
799,218,178,869,254,241,540,270,197,805,648,456,429,269,279,574,292,534,964,
311,288,724,477,062,680,301,417,377,557,457,283,415,712,704,046,681,527,239,
203,043,371,706,523,227,503,144,637,732,080,597,852,656,076,637,845,565,014,
537,629,543,448,378,848,787,426,285,954,247,679,627,058,267,853,868,355,621,
216,126,881,196,809,787,829,594,181,339,048,398,354,943,226,390,944,067,693,
432,425,880,118,644,881,538,886,986,118,670,630,896,870,810,700,595,686,749,
915,562,996,966,848,203,273,431,919,151,878,175,974,518,466,243,657,239,826,
592,259,499,090,997,858,611,543,881,708,031,701,076,342,192,232,569,937,921,
244,549,780,450,192,565,519,239,736,979,023,740,478,477,271,236,757,968,733,
177,624,984,619,606,526,514,768,111,042,589,432,632,135,041,234,831,443,943,
759,216,285,688,358,843,081,247,143,287,985,156,629,673,683,269,451,495,446,
565,509,089,180,198,001,702,231,860,991,543,526,187,289,613,276,107,220,740,
775,495,397,237,424,220,076,839,923,387,275,136,635,652,021,472,000,737,321,
377,424,918,139,640,945,571,357,736,896,781,512,650,126,595,414,607,327,494,
490,428,574,033,819,108,030,617,942,256,105,026,925,435,734,981,336,974,152,
719,008,034,975,230,615,401,797,458,482,849,194,208,040,579,571,709,589,417,
278,293,798,510,332,644,158,135,834,465,230,120,219,433,531,567,652,035,980,
406,455,939,246,203,049,273,619,314,740,271,141,001,472,611,843,723,628,093,
270,859,884,878,533,072,054,533,772,887,518,837,164,604,794,585,529,648,563,
079,206,250,557,482,297,874,982,107,550,892,511,083,324,746,565,330,401,510,
447,287,510,971,308,409,495,403,803,796,333,715,109,439,920,932,556,993,875,
567,537,474,458,527,000,755,947,228,669,572,692,295,483,785,194,431,543,752,
010,935,947,045,967,454,183,143,513,989,694,120,769,647,492,508,354,079,995,
361,506,844,403,512,272,748,617,338,334,748,181,336,755,053,883,929,349,204,
694,825,652,813,053,154,973,553,081,631,025,709,431,373,456,229,173,576,535,
661,450,526,716,822,761,508,843,898,989,338,313,832,370,435,318,559,919,450,
203,422,441,432,905,574,010,033,389,942,557,365,315,411,596,739,689,827,302,
870,537,548,179,223,639,775,417,485,397,137,657,842,626,806,023,283,124,821,
823,262,121,985,573,654,391,281,709,293,503,973,625,402,415,596,185,665,569,
530,258,913,703,067,141,333,647,198,001,827,277,261,505,272,318,369,878,643,
440,233,820,248,157,030,234,460,920,241,006,117,918,405,709,648,362,203,825,
674,903,003,501,280,672,452,921,597,138,582,289,193,920,526,837,275,908,064,
736,878,191,332,346,705,870,349,902,295,746,589,066,208,024,194,745,298,622,
664,038,897,319,654,572,843,130,175,476,516,201,536,044,940,902,601,186,669,
714,705,463,691,524,185,526,601,900,638,807,155,305,878,885,766,016,188,560,
304,227,557,758,227,311,529,691,961,608,428,211,992,873,096,390,253,964,322,
619,729,989,786,067,856,301,577,677,408,967,902,753,992,896,429,032,772,475,
214,052,743,828,259,591,595,508,663,456,142,200,265,523,867,271,204,833,398,
812,596,141,994,360,074,955,494,506,977,580,049,656,850,163,850,941,632,941,
708,428,015,004,132,792,092,273,361,277,100,833,154,826,261,222,362,615,446,
604,250,688,420,996,232,015,837,576,818,986,649,074,363,297,796,255,508,716,
725,804,243,236,964,148,535,756,595,247,508,921,475,026,238,320,446,314,583,
346,673,177,576,890,357,286,521,570,326,327,175,008,983,784,238,098,426,354,
729,810,705,830,919,262,196,691,016,864,652,640,811,702,969,614,588,532,385,
116,791,317,702,426,986,052,756,625,633,765,776,815,459,937,901,466,875,350,
491,168,715,448,303,252,640,329,675,951,743,058,553,871,929,318,978,027,311,
337,602,515,457,039,466,807,054,521,219,259,917,320,306,522,022,239,041,563,
619,902,957,224,336,469,118,876,764,944,664,200,488,098,753,531,285,042,297,
966,374,037,868,719,198,263,311,190,094,025,582,637,703,308,598,423,687,224,
496,672,832,003,221,301,719,914,365,511,745,919,340,641,920,534,406,751,498,
604,220,443,046,945,569,945,456,134,771,252,090,964,953,701,018,232,048,258,
618,579,263,602,844,638,303,459,826,766,972,818,702,946,287,362,468,477,691,
641,979,502,840,570,103,803,848,251,088,090,894,533,854,769,368,439,733,691,
128,778,484,016,128,996,094,003,322,558,913,080,698,690,960,214,470,917,146,
565,357,015,119,030,128,081,960,272,178,909,109,533,046,028,633,669,366,439,
284,195,924,988,373,316,435,463,901,860,746,788,546,232,198,399,897,113,709,
075,546,296,473,682,037,975,332,391,033,105,104,292,471,835,416,862,219,933,
307,212,679,267,096,585,713,484,063,257,659,088,492,414,540,453,617,594,253,
162,572,776,019,754,317,523,645,458,167,789,630,517,540,360,845,791,396,797,
120,778,018,058,108,051,464,322,121,621,127,135,611,323,344,919,003,941,391,
193,690,451,178,333,625,649,331,630,569,277,898,724,882,118,321,828,077,105,
642,098,933,095,918,065,339,943,013,180,431,957,931,571,639,241,301,417,416,
637,789,834,486,825,943,323,421,710,657,854,015,517,214,391,670,631,784,090,
489,897,374,230,639,951,428,457,721,110,508,027,975,207,940,040,970,036,161,
779,420,260,086,042,161,316,550,826,210,363,103,132,118,319,600,904,365,518,
001,046,271,248,419,333,619,119,383,178,651,619,025,843,101,090,322,386,964,
072,475,254,826,797,260,695,843,012,674,785,306,171,637,750,672,301,697,618,
630,874,764,584,189,085,363,550,063,765,654,995,768,315,152,928,009,555,057,
169,357,165,149,294,510,068,019,728,133,687,062,340,310,338,638,985,272,747,
173,998,655,837,570,460,245,517,565,951,102,199,765,640,932,731,701,917,942,
544,768,577,219,728,109,043,502,415,641,203,662,168,173,537,274,841,452,250,
986,583,870,559,685,603,070,596,977,163,412,055,913,500,897,669,324,802,759,
602,261,178,748,814,861,623,018,961,352,907,230,520,849,078,854,813,159,000,
203,448,285,141,141,010,259,566,787,659,045,745,952,592,715,266,763,412,298,
015,620,270,977,570,715,715,368,740,044,972,085,002,375,821,433,658,696,445,
580,616,860,866,613,110,867,022,467,925,412,990,376,034,199,851,109,377,960,
282,729,699,003,292,457,136,201,753,573,413,335,046,082,235,197,625,305,386,
706,439,745,415,216,673,529,540,440,608,112,504,866,600,582,522,263,149,956,
122,486,179,937,458,336,922,839,652,614,112,285,583,094,518,718,238,931,555,
000,575,588,870,457,588,995,317,542,978,015,559,831,182,557,963,687,007,224,
580,225,350,732,552,489,326,638,784,352,198,588,190,775,002,367,133,626,812,
467,997,107,307,666,465,854,280,879,605,750,698,263,102,014,131,826,406,548,
185,521,488,161,845,531,497,601,675,298,999,467,200,764,543,940,325,615,307,
394,472,386,572,777,181,046,242,958,111,414,884,553,087,395,256,037,047,971,
961,685,985,356,547,866,130,977,028,358,657,646,074,440,633,535,537,849,156,
931,998,511,103,205,307,285,630,637,402,468,855,682,244,967,351,494,888,677,
658,249,451,134,462,844,209,741,431,302,716,660,537,914,679,808,213,111,800,
607,674,013,933,644,413,903,815,732,858,168,350,302,134,592,720,783,479,630,
078,092,926,708,704,179,394,862,675,732,050,234,067,914,663,573,323,916,845,
319,648,397,293,082,469,587,815,060,889,415,200,926,674,879,599,857,596,016,
706,998,479,496,616,785,153,978,919,129,125,134,210,817,307,174,318,975,450,
066,381,221,465,862,285,251,211,178,577,320,362,512,430,588,366,092,656,388,
219,510,788,242,863,843,025,335,480,553,752,109,795,549,216,760,834,046,021,
483,081,255,422,108,519,540,387,784,320,309,598,277,009,005,695,997,336,628,
115,368,423,940,737,631,551,352,174,584,951,788,985,012,379,754,633,229,397,
509,184,316,899,775,176,098,712,271,354,312,207,012,074,595,439,601,898,845,
171,997,340,645,814,646,457,214,140,021,576,842,454,528,360,748,755,737,606,
832,131,867,468,975,433,256,429,043,222,705,290,156,400,846,581,634,601,871,
064,914,888,382,592,125,109,447,274,988,252,451,348,909,655,185,867,520,328,
498,150,383,007,605,730,919,402,107,773,382,475,382,026,524,714,910,018,140,
104,035,993,840,947,547,556,488,768,499,633,254,368,005,228,981,839,208,032,
328,506,361,183,931,605,048,159,814,591,793,581,223,340,730,828,150,296,888,
303,609,383,104,773,261,612,288,909,547,605,119,924,784,408,323,768,076,339,
305,267,191,206,033,164,633,824,436,959,940,120,156,918,805,299,432,002,481,
825,972,162,340,024,886,499,268,987,579,626,958,476,378,315,707,548,349,521,
397,049,612,092,064,995,862,006,240,848,224,773,154,324,873,706,598,927,692,
118,585,519,553,980,685,281,427,527,434,668,460,315,095,350,899,234,076,600,
391,144,363,835,213,992,692,084,191,876,279,881,583,870,643,282,505,422,746,
233,891,965,466,952,642,744,510,821,859,515,103,026,058,672,597,373,583,187,
973,621,378,354,866,668,029,896,483,718,548,842,949,341,226,796,370,332,019,
519,238,786,032,624,661,182,012,822,533,714,553,981,175,643,393,933,896,761,
039,266,244,855,570,342,996,133,955,851,865,549,081,005,830,421,810,551,721,
588,602,094,302,412,249,273,635,647,402,108,769,135,454,222,237,484,547,767,
924,891,179,984,577,601,736,407,158,203,513,678,472,413,535,149,408,777,964,
803,810,891,521,082,001,238,245,009,454,479,956,934,751,082,385,803,583,923,
294,448,750,546,353,920,172,939,609,300,028,817,113,761,400,486,014,897,198,
831,386,174,442,875,911,652,188,163,177,435,581,417,088,250,681,558,033,860,
725,468,635,563,109,157,586,183,286,068,178,563,365,662,638,798,858,000,642,
832,790,873,793,713,461,869,564,784,678,548,154,663,176,822,661,221,032,797,
319,893,841,356,250,436,125,435,860,138,244,159,601,403,748,304,648,110,405,
082,244,688,267,743,149,863,830,588,747,961,448,599,614,560,962,312,988,446,
031,264,334,328,656,961,452,008,594,576,219,150,461,234,238,041,938,153,847,
512,187,874,034,554,752,643,464,357,970,985,115,282,902,028,452,301,791,582,
289,177,052,032,894,041,385,525,224,368,994,054,051,047,120,266,494,300,261,
974,953,027,804,174,634,677,005,105,374,428,522,029,008,694,948,551,668,869,
218,155,159,123,398,788,838,586,344,834,575,596,941,585,777,899,119,500,410,
830,189,385,389,055,315,745,231,373,866,478,396,748,786,161,019,118,188,818,
689,203,279,584,201,352,463,893,921,046,813,330,311,137,446,672,258,876,539,
709,435,915,009,004,647,936,879,327,555,655,299,895,412,362,272,597,838,000,
526,696,067,482,918,045,151,958,867,705,719,931,511,954,432,694,038,569,523,
329,517,526,780,765,893,180,350,209,092,445,028,917,822,818,322,273,269,094,
198,601,025,430,590,429,413,992,896,648,293,520,593,536,838,925,963,522,379,
884,128,778,071,035,170,326,351,727,705,229,631,473,408,134,720,390,618,249,
077,077,268,315,774,444,975,921,710,190,935,649,596,530,815,312,363,396,030,
764,410,847,145,760,479,729,973,738,907,968,984,510,697,700,373,374,070,817,
313,317,617,341,386,477,327,333,513,800,883,903,620,936,003,470,215,130,693,
961,989,065,107,320,217,355,669,763,578,141,133,280,587,824,737,515,502,107,
664,288,169,232,887,159,959,680,578,659,475,787,291,978,826,429,149,547,153,
355,111,389,668,724,750,123,410,752,266,043,647,494,049,136,113,654,366,265,
983,079,871,767,181,942,846,654,544,132,559,109,557,461,140,460,435,677,747,
399,796,854,802,936,668,783,661,779,712,945,391,796,825,235,007,769,122,119,
229,883,551,739,745,224,012,770,813,276,391,370,903,077,389,114,020,047,327,
340,041,190,898,862,846,776,693,445,481,650,141,691,183,081,753,713,264,647,
445,729,297,590,111,633,642,772,344,455,799,940,833,884,590,904,145,129,285,
443,648,597,908,201,586,584,935,612,253,389,263,506,614,428,269,377,167,017,
312,654,202,391,936,764,595,209,442,033,772,369,940,588,516,552,932,798,237,
802,730,834,366,712,168,225,915,594,118,010,646,064,523,559,483,832,541,314,
742,243,343,778,100,855,184,325,124,168,802,710,361,656,778,664,465,874,279,
311,315,248,357,313,299,386,354,323,083,352,217,554,253,257,884,185,916,902,
718,621,471,531,499,571,415,798,151,774,348,836,856,557,932,579,372,905,212,
134,852,955,320,461,487,470,332,501,800,496,383,153,885,224,361,254,484,016,
523,842,485,192,415,136,399,953,799,072,796,509,614,160,570,222,122,703,458,
130,910,158,605,266,030,543,665,772,961,413,488,278,200,986,169,717,838,043,
046,796,348,807,097,438,461,092,031,031,123,822,970,464,937,737,411,233,268,
103,606,418,536,904,841,430,424,689,774,731,624,102,877,727,926,541,830,394,
590,698,864,142,499,288,101,883,319,484,916,262,464,832,911,745,706,392,382,
888,877,066,431,469,653,057,578,420,621,862,520,293,818,688,516,590,780,039,
328,981,136,145,048,700,818,906,854,077,909,294,775,844,799,224,487,722,730,
321,496,177,636,213,565,597,005,668,286,659,724,094,645,940,402,548,696,665,
353,728,951,677,688,367,459,798,680,393,232,918,970,798,490,060,600,649,197,
984,520,768,281,952,806,243,503,303,942,727,329,847,709,770,181,634,794,889,
629,980,029,983,620,227,382,436,961,873,550,508,712,834,027,143,947,730,441,
734,920,651,198,154,467,745,178,016,462,223,218,814,717,659,421,435,465,601,
967,875,822,989,374,187,782,909,330,494,176,651,714,171,041,075,861,750,867,
965,299,802,146,675,862,373,389,033,828,686,507,705,358,340,313,616,238,868,
919,970,376,430,801,166,323,909,148,836,762,214,492,294,540,653,615,777,388,
372,842,245,861,867,242,401,463,632,519,815,432,145,722,539,627,402,041,503,
431,710,643,470,450,880,134,881,092,988,591,737,281,770,764,348,175,732,936,
483,634,489,205,394,521,476,713,441,233,550,965,497,058,851,139,209,699,491,
581,295,211,469,682,696,042,495,982,064,561,836,390,979,582,771,928,542,952,
965,926,723,194,420,078,197,462,993,552,498,974,754,343,575,724,287,330,630,
924,484,446,867,922,827,144,487,160,216,767,427,621,500,459,754,994,370,377,
264,719,575,286,978,911,705,416,620,849,593,769,080,884,810,320,190,346,590,
588,160,608,778,724,894,749,565,721,315,323,711,166,925,104,293,147,528,822,
687,295,272,202,736,189,271,035,749,714,471,624,441,113,576,909,201,423,215,
813,764,490,449,367,392,906,398,162,752,765,874,011,424,604,082,791,311,074,
578,598,586,010,993,419,117,426,168,752,251,871,228,128,848,328,047,380,302,
809,407,742,180,781,020,876,200,263,565,906,971,172,975,939,738,830,051,878,
479,073,373,863,335,254,966,753,428,848,847,548,994,590,584,373,625,050,614,
518,240,456,863,228,837,902,529,023,152,325,304,901,657,706,177,394,589,205,
562,017,467,724,374,625,657,970,026,859,799,615,155,225,279,547,524,327,960,
545,287,491,461,750,172,361,935,719,104,387,259,296,127,284,137,102,991,699,
679,636,917,505,510,338,066,795,170,792,883,417,449,369,838,944,693,939,058,
453,068,495,448,004,215,698,090,133,715,565,161,783,909,686,285,275,193,484,
716,059,065,253,334,211,832,541,869,815,903,378,488,871,679,874,536,464,932,
984,503,899,161,281,157,835,502,427,748,433,337,996,304,381,755,710,725,427,
794,529,115,056,405,502,229,366,258,933,018,165,497,182,860,279,994,260,949,
023,285,898,991,876,965,002,093,337,447,854,049,041,777,258,461,859,196,466,
541,365,867,058,923,209,186,651,202,288,456,078,507,462,381,411,115,523,060,
934,294,097,483,087,312,715,240,233,864,499,106,600,933,344,601,736,636,380,
495,934,519,642,795,606,043,908,328,255,715,692,509,542,042,552,921,273,649,
875,304,608,794,232,548,286,670,913,127,417,187,398,937,171,922,002,819,221,
507,604,795,349,840,749,690,511,511,917,648,852,086,672,239,676,626,413,350,
584,806,430,068,130,257,284,105,140,372,361,361,078,271,307,505,175,668,780,
893,511,962,865,441,120,302,873,892,977,826,611,114,056,258,039,509,966,828,
764,735,207,911,456,733,188,531,812,586,796,492,518,834,672,497,316,750,708,
497,955,774,025,070,238,958,727,466,114,678,045,930,790,970,992,401,635,183,
026,403,541,711,807,085,968,475,789,576,572,805,846,911,249,382,555,293,392,
962,225,915,833,903,224,915,402,338,039,120,284,654,500,678,876,316,927,294,
348,312,014,534,617,946,765,531,077,829,709,155,841,495,670,906,774,341,939,
381,303,714,114,720,255,292,579,721,652,587,921,465,224,234,573,924,025,757,
027,896,521,316,267,754,915,340,980,435,466,614,626,360,644,516,915,202,217,
312,873,872,760,805,084,675,196,624,395,009,799,576,275,764,092,135,350,372,
301,119,916,407,139,258,686,479,292,441,813,706,642,192,145,316,789,662,569,
020,576,834,965,437,417,170,726,030,634,754,758,590,070,260,962,384,740,188,
477,257,362,314,205,236,195,281,005,190,815,639,202,779,571,409,636,149,185,
434,061,246,536,941,882,593,629,850,762,699,907,371,484,290,598,402,025,807,
877,745,751,125,254,161,614,749,643,421,367,032,143,617,402,601,307,030,326,
304,489,134,675,864,466,891,659,317,448,888,106,780,171,666,800,180,498,261,
393,799,371,665,728,923,345,546,301,309,351,650,670,410,118,119,638,943,662,
211,365,125,464,691,990,609,422,903,771,634,413,812,335,860,833,178,841,173,
133,613,272,858,481,455,981,325,736,117,312,632,375,538,172,760,551,327,320,
088,472,826,046,926,374,789,803,840,543,516,026,746,144,278,051,954,780,762,
522,267,541,290,023,144,213,978,167,303,822,836,677,161,673,379,750,304,367,
243,612,292,728,593,605,969,108,670,210,017,423,015,614,235,787,812,370,639,
149,115,969,505,987,603,861,280,007,078,799,942,991,235,556,013,239,473,349,
142,959,688,084,391,289,477,783,004,427,268,742,202,664,171,041,312,095,723,
425,705,531,393,925,515,310,685,048,783,531,587,744,313,722,853,022,494,309,
147,795,388,560,741,956,386,120,529,866,340,521,391,024,447,424,418,813,465,
408,483,661,605,715,517,100,477,559,738,408,555,863,682,427,715,114,724,022,
491,785,791,985,390,672,918,590,334,748,751,641,156,486,963,669,896,042,646,
900,443,866,981,449,013,697,944,565,097,372,707,880,744,408,730,981,078,195,
067,504,523,282,803,331,516,679,787,557,709,996,427,210,683,270,822,051,082,
099,061,359,907,074,277,650,056,223,691,355,999,434,367,066,122,469,770,975,
194,476,743,751,951,383,651,851,599,608,059,696,252,788,280,088,075,238,447,
573,480,034,839,640,133,943,792,216,893,330,722,250,304,927,009,659,628,266,
159,079,000,520,661,955,400,790,798,349,076,706,403,879,497,630,899,146,020,
914,588,798,604,250,333,513,918,167,866,030,935,859,018,259,041,076,357,111,
693,462,303,369,543,879,348,372,169,839,139,375,163,061,589,408,812,525,662,
734,814,476,061,184,177,249,008,397,318,622,048,470,403,729,363,420,414,032,
687,786,561,084,896,532,342,284,214,431,766,055,314,008,768,790,823,655,914,
831,613,025,037,875,573,653,411,243,842,543,726,555,423,892,242,482,122,038,
757,674,190,426,082,015,245,096,206,106,029,671,644,623,490,996,364,786,873,
458,887,336,793,589,863,996,436,861,522,979,905,429,722,995,505,421,084,588,
719,788,275,849,745,572,590,553,083,312,619,746,513,401,649,909,695,776,997,
855,846,698,719,433,688,900,434,086,819,390,297,531,468,936,567,415,493,905,
595,694,875,795,961,948,747,593,021,284,078,364,683,756,973,872,343,402,429,
312,046,684,624,781,070,595,055,871,013,744,718,516,952,747,582,059,303,752,
411,707,963,401,489,938,616,449,691,055,755,112,763,274,521,427,129,361,060,
836,148,895,385,671,545,473,520,895,704,745,496,619,584,219,237,800,955,100,
896,057,177,536,807,220,169,739,033,629,726,745,335,277,067,043,968,507,088,
565,699,989,841,254,444,447,231,332,788,672,502,686,540,563,002,281,740,634,
417,530,044,386,377,629,757,004,073,854,154,484,302,374,044,522,825,345,318,
155,435,094,376,358,300,903,361,293,269,542,528,626,675,114,555,412,190,145,
961,998,468,366,718,806,462,970,575,954,124,188,328,138,640,431,361,491,804,
701,621,120,889,222,083,704,632,351,291,963,765,744,157,086,492,657,444,274,
034,977,886,823,144,750,619,145,057,663,456,917,376,338,961,482,800,948,195,
706,802,036,398,571,913,094,267,548,957,493,358,019,831,337,414,155,102,912,
138,903,669,273,895,851,545,610,945,618,980,772,731,057,731,105,745,233,495,
563,785,976,233,266,764,587,688,781,845,817,028,433,674,546,208,889,418,642,
190,272,836,269,307,704,044,796,999,636,202,712,591,717,216,542,039,872,585,
526,641,242,610,936,624,653,814,324,468,113,429,561,133,173,298,252,872,095,
510,298,121,795,229,251,798,414,461,081,067,733,888,115,327,637,220,429,895,
440,072,070,319,996,000,588,194,184,598,949,580,751,956,298,100,374,862,928,
831,316,094,003,372,455,458,009,522,713,877,265,221,891,935,787,000,156,477,
525,324,728,955,303,965,439,535,348,130,159,391,163,600,730,125,367,420,039,
407,627,646,786,729,224,087,311,091,688,024,828,079,661,323,744,317,800,155,
757,122,934,226,582,305,065,818,358,482,995,577,269,819,857,522,655,216,842,
616,704,233,912,984,881,951,883,029,765,289,981,739,756,533,981,336,354,452,
440,175,778,109,540,283,751,436,018,686,513,389,464,432,490,425,155,115,748,
236,549,614,371,394,242,112,608,722,795,776,344,941,538,450,092,255,012,906,
709,173,530,351,031,935,678,562,300,979,790,519,833,448,236,567,535,950,575,
888,596,749,445,935,995,662,347,220,235,217,433,003,451,357,255,824,453,902,
980,616,791,491,434,113,156,953,757,377,119,637,236,355,954,900,737,145,670,
733,637,040,133,185,594,232,918,513,391,811,440,528,628,994,270,178,575,637,
306,198,099,774,354,234,616,157,193,462,761,669,531,360,454,822,761,060,006,
264,850,137,107,776,981,381,188,616,952,268,719,526,998,266,123,407,819,477,
733,434,564,466,083,580,981,453,759,029,244,726,689,940,040,077,958,387,173,
841,741,182,223,310,870,467,656,159,319,269,247,693,994,818,560,214,260,823,
373,015,007,170,453,547,351,947,022,108,191,529,002,355,357,523,097,920,848,
371,971,152,739,740,311,997,607,534,442,136,860,765,957,674,157,942,307,140,
394,731,984,982,494,561,879,298,506,274,885,808,865,465,743,468,469,120,483,
981,172,074,967,825,830,460,885,156,588,328,236,600,215,110,741,701,619,791,
169,019,648,347,118,574,067,589,063,915,455,603,254,527,176,697,281,632,987,
624,091,406,122,161,423,062,353,109,547,344,292,956,903,528,779,737,760,815,
877,678,043,720,917,046,563,296,383,549,626,552,818,284,859,248,660,449,657,
119,364,549,849,594,778,305,067,940,196,329,526,406,397,264,332,087,586,375,
478,903,201,652,169,912,786,987,428,638,079,731,950,383,854,244,446,227,855,
157,159,865,188,673,349,671,411,926,005,932,642,894,529,262,503,102,445,416,
665,738,652,660,814,990,035,448,564,489,864,785,671,238,718,800,664,328,122,
442,172,613,115,880,828,054,156,031,753,740,691,007,860,979,811,328,595,014,
551,294,408,814,641,196,570,400,864,304,971,927,209,810,638,428,596,054,512,
365,487,439,012,145,517,118,411,875,515,496,717,998,180,283,247,030,629,678,
172,727,028,180,932,129,752,944,339,721,952,064,237,650,782,032,934,757,559,
143,153,490,082,089,719,513,807,101,436,118,774,178,910,808,289,220,857,155,
260,438,734,606,071,143,577,597,171,778,446,764,678,344,414,572,834,630,870,
063,039,599,212,573,871,382,771,455,462,334,378,486,726,744,919,967,094,048,
677,246,157,822,814,511,955,709,207,813,330,357,470,164,918,624,784,410,904,
130,269,716,783,931,227,906,089,594,837,029,521,538,535,183,825,150,879,379,
704,550,710,549,746,644,760,390,594,645,844,068,235,410,641,931,313,813,489,
491,255,590,438,485,061,846,214,335,161,009,625,121,687,778,320,843,205,499,
531,178,276,673,860,486,258,260,549,405,412,591,994,379,827,993,188,628,704,
750,062,206,930,355,309,957,221,668,153,596,940,863,410,894,042,973,791,039,
044,184,213,785,501,595,645,400,122,746,060,943,185,563,662,182,861,239,545,
083,757,177,122,897,644,486,826,234,616,363,807,518,540,477,601,355,683,702,
264,761,453,722,240,560,905,827,451,145,354,698,919,115,157,532,422,274,706,
430,232,217,549,407,791,041,893,735,747,683,251,690,579,839,921,669,060,468,
848,718,928,782,986,502,323,589,473,509,072,148,333,886,637,876,243,949,922,
577,782,909,455,020,441,281,996,605,193,289,803,984,129,489,332,156,741,967,
594,604,831,017,683,496,178,833,399,241,619,920,321,148,096,504,571,361,787,
818,805,086,315,404,917,847,983,972,307,538,183,652,177,956,994,490,838,242,
396,606,523,952,371,530,941,535,263,276,412,920,924,643,764,895,330,699,959,
155,921,045,717,725,642,703,559,292,555,310,276,093,455,541,917,990,839,764,
286,769,351,395,950,981,912,330,289,931,393,174,282,749,167,799,168,846,787,
902,158,804,122,646,467,089,705,915,219,520,562,613,638,564,288,014,687,841,
388,139,900,959,067,592,844,415,700,081,529,613,909,807,877,430,788,439,690,
419,216,005,243,083,952,215,811,062,411,800,728,602,390,172,479,317,716,890,
766,115,764,349,997,835,815,959,897,167,731,421,951,551,016,675,853,688,572,
822,288,458,341,341,008,224,597,034,107,925,761,822,580,126,464,178,068,435,
612,316,834,445,303,309,686,956,484,621,003,363,377,972,205,206,387,050,491,
158,990,481,048,386,406,969,579,958,636,078,843,777,644,172,859,239,072,873,
902,439,557,286,736,592,934,932,066,791,379,468,203,040,461,800,917,157,651,
735,528,014,337,167,091,606,705,376,186,216,230,899,858,087,530,757,817,196,
356,218,454,187,329,973,768,079,568,483,571,561,540,777,260,510,631,829,906,
813,230,237,987,224,762,017,001,717,684,223,037,566,567,019,440,958,022,180,
126,097,852,575,152,165,702,616,127,336,444,792,870,347,555,472,354,680,786,
371,791,689,584,302,315,977,263,979,821,168,969,885,788,221,651,144,062,728,
978,331,890,896,607,615,031,660,083,781,614,147,595,876,853,730,798,668,436,
740,376,656,425,580,434,057,052,279,265,184,544,407,820,238,502,799,489,374,
008,714,730,585,517,612,924,926,866,520,707,776,569,844,547,533,585,996,682,
741,783,891,568,046,278,913,178,140,403,216,931,784,489,627,866,940,403,007,
927,920,586,944,774,915,349,423,601,079,044,400,232,474,447,389,944,109,553,
010,554,635,494,738,739,806,641,990,483,147,240,909,690,327,169,857,959,493,
297,614,317,858,704,156,612,571,573,842,963,864,854,525,707,912,263,482,733,
679,378,349,611,962,431,802,985,422,413,157,313,437,305,543,162,787,003,632,
243,143,456,470,294,566,565,301,390,511,579,462,966,190,393,610,029,967,792,
752,828,610,288,761,428,079,619,501,681,038,091,852,854,219,322,082,275,790,
869,357,733,136,382,766,623,629,242,195,003,137,145,714,880,931,384,600,332,
452,434,770,094,394,565,919,967,962,978,148,022,540,133,081,273,534,802,243,
762,152,124,158,483,476,656,822,972,730,059,089,228,701,535,274,008,797,291,
771,735,549,141,965,438,570,204,256,641,603,999,935,705,581,857,020,774,272,
651,385,626,737,071,707,019,570,402,527,801,298,920,348,903,448,282,888,452,
847,002,403,956,824,851,369,936,575,605,069,082,219,234,731,578,298,664,925,
323,077,861,865,735,848,468,379,827,208,280,840,067,190,112,854,845,119,303,
245,499,562,000,899,108,922,631,880,989,323,362,179,387,612,921,794,243,831,
920,410,082,573,857,189,893,778,772,075,708,667,488,855,439,850,989,020,253,
288,322,885,261,116,576,750,951,239,129,534,060,482,536,129,012,553,569,543,
915,331,085,657,869,433,418,545,563,778,977,632,939,747,401,772,151,540,384,
683,831,279,517,532,365,495,142,078,562,850,978,757,293,543,539,815,653,722,
843,252,580,943,003,394,350,809,329,711,441,824,294,659,226,534,577,073,419,
312,286,688,627,775,742,290,858,576,093,868,265,596,166,819,057,840,767,175,
593,801,660,237,609,855,945,433,052,295,614,578,083,609,437,599,396,024,004,
219,490,897,737,451,527,976,833,368,231,380,502,736,496,848,309,063,649,417,
744,397,619,866,621,758,095,206,860,483,135,172,190,343,741,712,635,437,164,
420,044,272,605,755,926,867,102,110,045,462,190,842,666,658,322,387,614,830,
013,820,989,183,620,778,279,280,496,622,225,071,969,221,877,666,186,147,633,
187,627,308,118,798,957,630,121,760,413,125,062,270,772,790,548,709,154,438,
837,985,506,441,539,733,874,609,896,079,423,353,437,009,175,432,179,573,601,
127,394,549,260,084,955,934,927,867,908,778,710,053,403,290,906,434,592,835,
866,997,268,720,036,244,301,937,891,079,113,494,895,636,767,429,863,325,972,
312,616,691,662,137,722,190,338,521,037,367,973,186,923,296,047,966,578,155,
077,844,703,283,235,553,183,222,930,407,103,625,606,136,502,938,858,434,674,
896,426,966,962,295,857,791,049,548,759,879,183,934,777,614,262,951,829,637,
081,200,690,006,920,017,489,837,852,415,744,865,502,134,068,265,373,266,481,
134,884,484,418,795,384,663,165,846,753,093,265,551,189,607,723,848,854,222,
637,539,490,348,248,892,776,608,884,250,132,151,247,380,246,536,598,265,045,
815,007,996,199,451,050,748,929,871,796,658,319,852,712,769,448,059,751,940,
341,023,477,834,038,997,719,838,873,957,870,261,615,577,905,952,490,120,474,
725,586,149,917,547,232,611,101,208,989,289,939,184,300,970,185,771,382,829,
996,965,483,801,546,946,646,043,498,332,519,996,103,430,614,523,911,442,124,
569,469,034,197,575,341,365,736,756,035,307,194,161,223,326,680,205,688,688,
951,072,686,720,067,379,078,167,149,612,955,623,196,263,327,258,434,913,515,
527,276,863,219,401,798,722,014,205,823,393,637,633,880,621,596,975,707,471,
869,853,842,287,692,450,941,813,264,977,345,931,540,110,938,016,600,136,734,
046,761,565,167,774,848,321,585,351,242,099,410,386,338,763,117,241,488,639,
314,308,057,727,787,499,757,277,293,721,500,936,485,414,667,089,178,631,320,
180,823,697,501,587,386,165,451,068,554,731,896,685,236,194,826,439,565,146,
474,574,299,045,845,232,974,044,719,015,992,458,275,519,215,153,529,049,941,
817,355,723,950,604,562,291,928,706,937,406,550,588,980,337,413,090,115,503,
312,877,696,877,916,617,105,804,574,987,518,751,510,027,820,080,927,590,785,
692,885,882,946,516,103,362,760,373,447,217,691,284,856,950,615,084,410,531,
304,706,316,896,429,395,940,272,107,330,033,809,458,395,283,406,503,709,008,
874,382,329,505,611,883,648,635,443,947,710,911,667,253,415,567,707,390,135,
208,199,009,863,174,509,555,269,145,866,479,647,395,590,205,704,095,626,919,
107,026,305,302,703,352,044,772,753,871,836,722,448,288,018,273,729,128,411,
725,550,073,645,480,353,645,425,583,457,549,204,630,810,904,714,964,590,775,
490,707,512,266,330,137,921,465,631,559,241,597,932,097,613,780,397,685,276,
917,508,371,680,997,107,208,255,277,428,792,985,407,252,950,355,935,852,389,
171,667,492,964,528,818,322,135,496,495,202,306,584,559,083,075,808,173,532,
632,996,047,180,391,939,792,211,620,920,144,401,269,466,884,972,234,327,584,
974,591,962,590,491,683,647,835,563,679,105,549,584,967,592,165,311,103,686,
718,655,337,835,779,559,397,135,921,946,632,437,491,925,709,898,492,730,331,
721,297,629,954,296,925,537,988,377,141,375,961,026,090,918,683,215,637,167,
593,278,293,184,204,898,053,579,388,493,089,327,165,485,782,382,685,215,088,
239,358,920,982,273,405,929,177,736,098,417,163,254,999,288,017,189,214,260,
257,403,237,870,341,628,773,506,252,237,078,342,081,295,483,996,441,420,461,
464,746,947,351,942,384,373,737,113,225,541,087,661,718,328,260,923,506,544,
256,715,484,996,216,005,644,912,479,429,002,804,847,055,297,943,361,912,975,
005,708,248,013,485,502,227,837,668,617,175,842,020,426,405,296,682,702,257,
216,285,072,189,854,136,307,169,444,396,552,126,330,497,539,153,629,475,242,
146,300,730,164,856,775,031,204,217,207,767,807,496,514,496,450,867,507,156,
346,077,278,369,348,772,735,115,272,158,992,280,147,430,769,340,544,124,593,
418,816,986,870,900,074,627,882,403,111,537,128,775,961,954,201,903,622,977,
238,685,284,314,016,116,261,934,822,206,194,871,472,548,719,887,064,427,420,
272,940,144,069,680,610,577,381,834,613,410,432,746,819,063,416,481,873,497,
697,501,799,989,688,636,709,718,321,198,498,184,261,308,717,306,671,023,901,
161,447,671,661,454,614,736,975,299,446,699,587,952,511,106,830,317,543,374,
578,499,590,825,888,383,662,140,365,208,135,649,587,206,271,353,591,336,362,
389,638,369,950,095,904,923,592,368,589,172,632,154,590,932,107,678,716,495,
022,299,580,764,938,669,530,715,633,363,106,846,230,960,043,622,865,154,120,
328,380,064,657,297,175,909,693,254,416,083,436,032,798,687,282,705,694,681,
812,941,968,621,413,167,461,269,044,041,969,990,168,485,172,824,091,496,365,
851,665,689,100,431,496,392,498,369,189,118,669,981,605,056,607,846,192,705,
835,957,346,800,161,497,814,684,266,431,703,466,615,766,121,347,334,222,475,
024,442,800,015,815,285,008,608,595,126,178,824,965,399,319,776,870,339,593,
168,578,293,925,627,477,614,177,838,685,945,567,772,481,310,138,074,671,519,
049,008,418,802,310,368,045,074,425,910,739,094,998,507,948,135,196,496,063,
135,777,074,201,276,377,821,058,011,236,990,554,411,976,042,936,148,140,772,
014,347,805,505,564,728,382,502,794,384,342,899,131,271,765,435,407,337,296,
853,841,859,822,680,139,491,629,789,825,328,203,840,256,405,496,234,592,199,
021,236,307,880,992,208,165,782,878,537,044,837,291,103,187,677,174,370,500,
822,814,290,866,874,734,012,135,308,847,958,165,810,764,793,124,814,804,271,
616,720,065,469,272,670,968,621,032,410,919,181,538,873,761,847,825,707,636,
762,246,492,517,573,193,760,883,308,334,215,718,377,945,390,754,946,773,963,
051,882,850,326,655,809,141,937,067,256,418,672,449,773,051,144,904,809,072,
814,062,929,085,950,635,300,544,753,777,823,685,370,722,220,174,779,089,833,
818,063,737,490,807,194,972,518,352,332,216,584,587,430,727,484,361,143,447,
311,990,844,720,613,647,916,037,564,249,247,986,426,916,113,946,450,119,115,
972,771,221,679,475,844,369,504,221,123,302,297,997,594,710,424,240,296,035,
780,784,509,585,204,945,451,006,585,100,484,556,441,438,349,617,248,359,040,
924,238,689,946,797,388,308,050,155,263,293,698,186,118,532,354,124,362,301,
907,663,396,541,512,739,024,443,826,565,442,370,560,852,134,018,772,648,062,
486,886,132,943,310,180,579,351,261,257,841,812,266,236,031,683,433,394,280,
048,944,175,407,420,874,293,678,876,334,718,678,027,590,884,849,954,414,840,
054,899,418,979,488,539,578,507,455,254,140,992,435,054,148,293,901,881,144,
316,089,033,843,732,193,234,033,434,812,254,109,504,998,564,660,108,121,636,
892,108,935,268,292,320,018,747,330,834,051,997,391,644,902,479,148,826,887,
039,726,706,849,190,807,919,610,500,154,726,591,892,667,531,902,285,905,818,
461,274,397,487,008,103,486,327,199,702,228,989,648,469,938,436,825,283,900,
358,835,544,343,937,751,404,744,567,045,601,822,312,772,349,070,526,197,169,
077,887,894,477,415,007,506,325,487,355,201,922,016,030,563,036,728,239,803,
135,548,884,637,641,271,050,141,058,730,620,197,209,209,348,719,805,869,636,
135,322,967,898,447,381,648,052,552,567,720,247,393,506,754,377,451,878,718,
947,790,685,101,582,023,968,722,466,963,848,368,187,732,348,388,229,703,598,
665,825,625,697,417,864,397,572,443,521,091,385,547,502,937,056,584,275,045,
172,623,731,079,657,175,081,052,951,705,574,766,408,404,976,415,277,893,645,
032,443,679,569,867,077,966,276,694,962,761,827,370,547,032,169,215,642,259,
442,124,990,538,083,545,696,732,700,214,320,783,792,676,413,533,390,921,901,
309,346,830,077,957,057,996,410,779,046,590,503,237,082,213,919,097,243,018,
446,223,857,544,205,448,986,441,994,230,855,651,665,992,990,420,551,824,559,
358,649,734,836,611,287,978,192,941,829,699,316,250,071,227,150,623,511,890,
399,165,021,386,258,860,581,057,380,613,711,540,924,844,405,928,314,187,168,
569,747,781,308,186,979,165,502,733,342,961,508,612,275,254,104,970,575,208,
344,035,660,299,929,490,745,976,852,887,811,003,468,703,905,437,514,472,787,
845,375,826,368,353,880,124,468,798,415,127,751,370,593,780,273,751,698,853,
299,502,409,602,712,340,638,776,145,103,513,006,153,528,822,139,590,308,769,
829,976,296,804,071,033,625,823,630,715,007,235,904,867,261,247,197,955,491,
941,718,665,868,432,456,849,860,271,968,604,249,798,420,193,608,036,283,061,
077,260,607,527,476,219,138,907,364,762,766,198,676,669,228,150,489,698,580,
423,450,230,644,438,209,614,214,669,912,449,806,268,352,358,244,720,599,310,
680,601,961,723,659,252,208,606,756,513,859,442,309,191,544,214,814,116,232,
319,237,123,923,714,960,200,045,267,406,305,953,148,944,097,684,242,166,313,
215,909,183,239,869,759,746,561,245,888,292,321,704,601,120,737,921,089,502,
344,530,632,621,483,325,420,583,391,141,049,850,965,216,943,213,209,522,191,
486,048,189,122,370,855,370,106,521,609,816,411,587,639,423,348,603,429,841,
085,402,801,685,183,826,538,906,545,728,481,152,815,777,593,734,303,313,891,
929,393,091,426,664,884,723,586,672,808,633,302,488,491,073,827,349,258,501,
321,624,850,328,804,775,327,761,650,433,641,963,566,574,431,036,348,038,777,
933,694,160,680,526,825,249,467,919,889,184,533,776,401,276,637,685,762,046,
520,461,548,067,429,619,911,353,821,680,398,678,803,083,261,064,283,640,934,
295,412,248,288,266,905,306,404,301,204,071,839,808,041,347,829,473,469,338,
169,792,176,683,613,020,334,586,231,679,964,431,290,586,071,900,312,470,654,
857,692,210,842,031,964,760,974,353,370,622,496,558,350,044,853,990,897,654,
129,766,747,778,988,372,832,220,634,370,921,365,820,645,959,096,566,190,473,
689,481,493,846,029,225,854,120,495,693,786,208,021,772,482,481,507,020,054,
783,413,725,018,703,224,528,057,522,324,409,319,938,161,693,792,807,174,860,
009,626,143,539,686,358,194,747,087,375,475,324,578,879,034,951,029,732,458,
907,887,916,129,567,810,273,009,757,546,447,988,922,758,338,667,800,432,678,
676,923,853,535,491,373,636,586,545,699,987,228,047,844,460,566,149,755,671,
544,920,604,525,941,351,832,126,607,319,115,121,031,234,263,612,834,890,729,
011,852,181,175,474,926,225,590,449,075,558,646,747,645,648,880,227,694,105,
241,307,008,235,228,102,045,496,129,683,221,415,842,082,346,543,608,563,854,
727,274,982,178,625,361,051,811,576,772,628,973,963,457,211,776,679,958,755,
677,604,495,539,752,491,106,392,253,672,101,792,749,961,147,401,707,216,241,
416,476,685,126,951,829,820,820,705,117,404,578,237,864,984,366,497,151,494,
135,256,123,711,723,082,353,181,351,799,376,460,565,930,724,354,915,307,897,
553,449,802,687,349,390,597,711,576,523,338,232,675,429,054,108,473,843,621,
762,002,090,064,178,204,358,469,899,334,567,248,680,999,922,305,933,718,667,
139,013,439,817,476,361,643,108,093,474,567,679,386,744,174,741,263,203,703,
033,889,375,838,054,618,817,147,904,380,427,768,342,010,660,092,724,115,510,
783,487,721,556,216,194,728,250,136,195,305,130,910,128,133,264,929,212,846,
202,141,724,810,064,263,967,053,055,706,079,927,649,765,758,954,440,784,911,
619,484,979,878,500,831,994,684,805,752,177,485,713,374,482,462,737,193,744,
440,551,461,175,832,569,086,248,057,073,440,067,125,871,552,885,748,775,149,
520,694,819,059,636,722,394,391,151,049,331,431,890,279,122,227,676,280,194,
805,795,009,080,797,304,708,732,185,736,078,098,377,496,274,212,655,758,173,
599,752,664,981,925,507,691,651,922,478,657,736,522,455,013,335,506,303,652,
523,091,691,813,936,512,953,512,218,958,002,087,553,500,355,166,582,791,622,
369,785,107,900,825,516,766,215,034,681,390,754,965,899,468,835,370,413,277,
102,700,074,270,662,666,293,206,530,893,256,134,382,903,484,239,797,448,690,
055,259,486,847,992,151,507,203,065,986,723,010,915,086,179,240,489,104,645,
503,862,479,465,466,014,380,288,968,162,679,888,245,250,654,581,899,484,112,
483,227,639,988,497,273,188,841,459,458,271,234,599,257,341,629,604,869,125,
227,035,223,141,322,954,071,893,847,979,674,949,012,696,318,718,118,357,620,
026,346,864,783,100,541,317,589,835,566,108,600,195,600,219,020,650,235,636,
360,820,740,377,194,496,726,091,530,667,757,448,061,536,815,877,239,377,134,
251,810,525,230,884,113,721,182,097,515,699,840,492,848,154,701,737,781,398,
649,106,702,323,920,895,305,348,661,777,540,498,363,569,311,404,415,838,900,
492,960,759,288,359,321,051,075,418,912,503,888,011,909,662,684,177,504,178,
654,282,010,149,424,705,046,985,147,772,817,043,122,325,641,451,175,607,384,
073,925,412,107,958,455,077,170,533,678,166,013,186,147,136,887,435,761,776,
024,304,899,465,524,798,729,746,055,113,000,362,060,738,235,178,943,867,103,
325,343,302,894,375,459,959,924,874,344,907,202,908,202,924,061,126,633,384,
051,226,360,327,274,616,270,301,910,035,027,207,892,927,532,988,728,845,267,
912,522,997,281,042,025,681,833,524,551,442,961,104,642,292,071,753,811,991,
382,406,347,242,641,463,144,510,534,523,586,225,262,514,637,071,996,825,102,
733,321,024,015,572,873,898,095,999,686,046,651,550,836,420,991,505,311,875,
560,948,820,044,814,104,944,164,921,867,523,369,718,236,323,165,559,747,167,
967,886,634,632,274,714,486,638,176,347,843,417,440,666,811,704,810,170,927,
364,233,806,310,398,728,719,993,122,739,508,345,907,712,191,784,666,265,327,
346,443,510,215,052,684,905,875,824,946,959,811,877,106,545,302,802,547,959,
493,402,225,773,504,851,799,798,920,240,071,687,103,079,089,187,428,883,627,
580,120,885,387,810,956,153,475,712,616,611,087,975,247,418,378,642,325,758,
756,151,252,299,988,148,497,757,610,775,387,733,877,234,486,486,731,849,927,
215,586,102,116,218,332,078,224,356,173,347,646,073,726,631,370,578,215,018,
512,975,011,334,672,078,957,547,776,429,737,933,638,475,452,436,022,501,006,
325,409,557,808,345,686,309,725,806,144,092,439,154,390,557,156,599,833,574,
662,629,760,161,599,749,901,573,410,101,032,283,438,325,402,362,354,312,086,
426,498,170,951,311,448,247,019,956,374,091,276,541,533,537,392,291,767,319,
927,481,162,328,019,627,996,876,144,807,659,948,590,613,910,466,087,562,761,
751,557,034,448,825,188,140,490,123,820,753,872,230,421,800,618,638,735,655,
439,100,482,351,898,542,623,364,833,697,672,403,196,576,779,755,211,109,441,
126,597,789,382,819,919,988,435,231,677,967,588,850,465,057,425,834,398,619,
520,873,408,430,750,513,045,553,497,274,811,893,623,760,546,399,095,908,665,
646,300,988,998,691,482,915,598,845,285,160,806,091,128,683,313,028,952,122,
006,579,399,449,857,584,536,953,541,206,047,267,849,396,421,134,757,357,484,
279,279,759,756,272,194,187,708,677,430,882,339,380,827,938,545,967,238,848,
355,239,549,925,129,374,342,788,282,288,728,021,792,364,510,114,857,262,258,
800,829,460,328,322,026,318,070,194,359,597,166,817,882,523,900,237,163,338,
795,323,227,129,697,818,209,715,089,036,784,157,899,856,611,450,171,701,387,
528,048,232,815,150,536,005,311,499,731,252,125,361,024,142,313,217,531,430,
755,774,655,789,744,369,866,929,629,098,548,786,696,449,835,647,503,432,645,
554,802,875,256,300,379,172,248,554,246,185,629,005,064,096,798,395,544,523,
200,462,588,128,050,706,152,263,595,120,027,885,602,735,246,452,733,441,763,
124,868,826,168,820,171,620,451,430,862,669,231,601,588,343,907,471,249,516,
079,261,542,381,377,187,895,180,335,788,166,083,393,543,812,087,923,400,956,
985,143,121,647,882,792,073,303,187,416,961,047,536,680,136,928,102,124,873,
983,339,570,295,037,975,727,138,516,021,206,213,663,500,546,309,464,174,423,
336,183,600,178,160,384,976,621,613,481,165,776,562,605,755,880,584,839,689,
410,301,082,529,606,200,026,281,666,596,159,891,417,025,162,118,116,610,207,
663,923,918,113,172,128,456,992,791,049,274,748,749,156,766,375,801,434,155,
917,068,022,987,808,490,643,062,375,461,713,898,559,968,328,687,003,844,957,
370,060,066,308,639,795,335,158,860,196,373,631,781,618,748,203,374,751,298,
738,725,875,781,602,945,058,567,219,404,094,623,114,884,433,747,969,693,144,
042,571,918,390,595,342,446,649,391,756,084,030,637,108,495,740,890,234,129,
599,470,257,314,866,474,577,969,552,642,819,576,325,919,745,806,881,542,417,
971,770,668,252,781,115,201,770,645,729,643,537,768,504,051,072,251,421,075,
894,603,584,893,687,721,310,053,685,672,467,639,913,924,061,275,818,317,577,
311,520,746,198,265,142,485,629,645,263,861,013,298,685,266,420,253,032,806,
220,528,633,117,271,230,009,759,503,496,832,149,150,724,589,217,419,104,474,
182,633,269,687,067,247,921,296,091,156,069,796,171,266,327,382,166,978,900,
741,574,616,910,844,017,639,012,044,467,540,773,563,809,163,115,888,479,458,
474,213,833,295,991,000,062,851,035,308,336,720,950,264,275,441,080,500,567,
334,786,349,642,010,232,040,789,986,583,737,508,762,704,148,264,531,338,133,
436,362,252,460,478,514,790,343,965,306,071,044,338,668,609,134,079,567,754,
721,075,854,509,134,334,498,289,814,096,395,207,787,879,951,578,606,330,240,
682,351,539,384,641,652,984,103,075,040,808,272,481,791,769,659,330,691,380,
356,972,758,181,401,726,168,106,872,832,585,181,969,450,331,000,221,526,649,
603,039,211,669,479,431,571,111,415,343,436,353,391,677,437,912,796,311,496,
601,722,105,902,036,457,481,775,518,212,473,752,682,540,545,673,578,820,469,
739,060,439,576,520,902,236,520,799,922,171,420,121,132,520,088,529,759,182,
465,044,156,698,541,283,089,270,731,123,087,637,609,026,821,517,459,331,786,
848,900,563,335,640,198,379,411,903,068,067,674,777,290,217,903,047,221,032,
150,659,496,069,260,245,727,411,862,219,574,862,294,413,818,899,737,843,175,
936,200,609,398,469,899,968,024,563,336,089,943,483,189,516,400,474,192,067,
677,310,057,238,024,668,861,095,430,813,326,849,273,900,288,311,241,465,412,
210,647,608,791,245,807,390,917,764,958,459,064,237,384,503,790,625,835,895,
499,142,948,569,168,775,997,747,543,189,485,475,267,115,266,123,463,729,339,
944,327,797,819,322,589,034,882,267,832,645,496,640,888,727,655,568,218,366,
523,965,533,334,050,575,451,788,963,201,577,731,356,788,200,242,125,451,172,
848,610,991,762,981,403,430,390,055,900,278,998,504,366,606,144,446,052,575,
749,079,631,341,235,548,404,090,530,547,584,829,844,217,136,025,188,593,232,
422,422,239,784,404,691,346,827,625,191,094,671,374,050,141,542,793,604,990,
979,370,198,289,956,712,070,415,653,924,001,063,129,615,322,952,687,458,234,
690,231,468,776,971,284,903,470,900,237,740,250,794,282,919,309,812,550,100,
590,755,306,845,323,432,770,912,471,033,615,499,300,225,316,428,236,569,596,
297,656,395,125,054,865,655,885,233,085,186,803,393,676,028,780,928,236,159,
748,804,623,551,228,207,039,928,211,384,625,697,670,984,044,263,093,449,813,
787,086,218,359,829,919,172,118,200,049,272,736,227,214,484,259,675,315,315,
952,515,150,572,024,155,054,519,866,690,532,464,010,761,860,745,778,555,757,
206,267,523,100,281,727,400,781,478,294,502,562,498,090,797,598,905,606,666,
638,044,944,704,105,878,140,412,813,561,771,119,413,967,615,054,936,619,320,
154,369,003,288,119,180,469,408,397,770,743,037,491,910,690,874,625,136,097,
236,835,000,638,319,217,415,106,673,833,154,868,121,901,342,600,861,507,042,
727,339,077,814,171,027,838,627,030,739,230,748,257,401,910,986,576,264,791,
740,113,079,944,825,359,350,779,431,641,902,348,111,768,966,055,297,995,864,
114,784,054,937,171,259,222,279,290,510,008,044,042,888,754,537,676,388,555,
339,554,083,077,537,135,162,228,044,733,524,713,119,153,299,112,156,981,674,
288,127,236,980,084,697,154,751,515,050,475,787,724,905,792,673,337,071,281,
979,536,947,567,175,598,715,009,167,026,610,021,557,559,968,947,479,167,199,
259,352,168,881,439,522,272,603,083,488,324,528,638,785,796,360,328,578,382,
700,523,808,827,122,456,967,641,215,330,633,086,489,367,040,391,230,665,172,
697,993,747,060,275,739,345,347,549,610,466,368,128,873,360,158,782,276,308,
707,323,980,906,132,097,398,908,181,482,553,115,622,087,943,019,025,492,988,
975,981,528,573,126,614,347,548,981,619,814,533,404,991,924,571,363,708,216,
052,821,376,805,909,583,327,046,183,004,268,108,337,709,478,409,374,185,230,
999,832,147,176,149,844,913,904,744,356,040,300,312,480,464,644,482,833,369,
239,299,374,294,410,294,780,650,234,343,089,313,651,079,317,509,591,435,907,
942,311,742,638,195,034,949,302,007,156,147,876,817,221,037,669,763,677,207,
102,382,525,548,898,095,964,619,770,934,667,259,534,310,885,303,711,805,001,
003,443,728,716,822,554,066,602,080,301,126,087,013,459,022,286,430,345,644,
678,063,946,353,112,971,047,418,153,884,201,423,254,877,194,573,976,401,327,
653,478,893,054,319,862,163,803,895,258,727,701,263,577,932,684,875,130,723,
532,502,322,523,087,197,809,924,458,140,785,821,442,379,751,610,375,764,730,
692,106,306,759,196,398,566,816,144,704,885,215,666,329,987,132,577,698,508,
964,397,376,103,233,352,927,925,942,783,432,745,962,709,487,037,888,857,787,
601,640,323,285,541,220,790,660,660,247,008,248,132,278,935,717,011,602,416,
317,771,311,137,575,371,166,842,224,007,860,435,515,163,291,816,620,534,695,
442,617,073,393,687,808,310,873,772,943,593,104,504,850,584,409,573,957,193,
388,905,016,676,096,639,686,463,299,533,221,707,807,674,476,289,662,729,281,
808,024,700,206,892,812,096,459,659,347,866,293,974,033,823,052,785,047,579,
695,057,668,848,493,234,966,446,937,241,392,485,601,689,723,423,131,198,380,
407,292,376,231,013,455,174,510,300,932,079,175,276,207,731,728,291,970,155,
550,028,138,630,656,444,479,089,954,709,812,921,674,076,957,169,993,655,119,
430,672,451,195,370,030,988,841,722,529,903,163,922,309,031,635,697,979,832,
329,273,944,667,395,159,584,577,706,076,252,309,364,353,958,026,673,381,852,
652,701,388,586,354,310,781,998,756,080,553,156,722,546,540,711,342,724,671,
763,418,238,786,559,520,177,182,376,678,563,006,487,020,798,135,329,485,359,
865,701,229,900,428,643,046,012,815,309,017,447,165,626,586,910,683,886,766,
838,102,206,785,606,964,240,215,044,659,733,684,021,005,722,570,184,391,247,
814,562,206,950,517,252,152,018,736,580,531,067,967,578,518,297,284,809,300,
866,348,377,975,701,125,609,653,672,910,517,122,827,598,348,366,295,193,738,
363,482,415,063,430,756,186,737,433,191,280,938,298,126,227,350,010,921,051,
007,163,951,198,518,809,739,297,246,186,644,333,480,048,006,176,980,768,177,
017,200,880,031,611,410,329,894,677,037,289,774,517,533,793,948,577,917,957,
095,614,645,768,102,855,528,716,444,116,971,091,218,145,596,655,544,395,796,
660,597,748,250,779,085,948,593,757,397,679,870,740,507,121,114,031,489,961,
956,156,490,175,377,180,257,133,203,909,967,649,483,958,221,819,185,340,065,
372,084,999,569,064,308,943,196,428,158,923,764,311,450,008,983,484,484,037,
993,939,480,362,557,497,226,963,940,783,218,400,352,564,745,960,728,206,743,
811,821,187,449,814,517,029,949,243,945,298,068,569,608,603,886,632,322,302,
077,105,896,978,122,273,502,504,829,584,184,355,514,625,878,399,153,425,887,
688,841,891,205,190,717,138,683,424,876,577,054,953,869,657,463,568,621,940,
581,829,435,179,174,387,185,666,488,598,706,899,181,782,639,927,266,757,269,
400,740,377,712,820,976,112,049,235,331,666,367,079,498,409,959,208,046,086,
031,337,390,134,829,316,285,607,355,783,520,136,177,508,602,302,189,130,766,
208,963,601,196,334,361,968,409,702,485,614,194,210,444,500,566,550,006,025,
197,692,511,066,165,891,310,972,217,458,345,198,566,350,029,964,577,627,726,
493,949,441,740,577,801,059,258,780,269,332,008,873,088,039,829,329,928,759,
830,194,313,916,322,099,985,004,782,968,371,489,195,657,347,756,752,227,797,
911,483,676,113,401,969,655,881,411,089,397,091,667,280,215,018,648,188,507,
034,945,016,268,822,370,182,452,093,785,453,627,285,322,581,454,812,998,989,
260,881,038,857,860,979,163,496,426,436,718,222,793,160,943,741,535,754,349,
785,755,815,130,836,731,041,823,302,442,363,112,151,684,626,027,882,429,813,
718,463,547,951,176,541,139,919,253,864,057,516,332,416,111,779,094,216,887,
492,804,279,492,622,181,054,883,570,481,271,724,074,484,729,937,552,188,197,
492,401,387,401,383,428,087,970,976,391,977,847,308,202,400,376,690,410,163,
230,720,690,206,503,849,601,865,994,544,518,064,294,944,669,198,606,905,417,
354,431,888,211,180,286,456,177,421,613,592,791,342,056,505,294,483,103,286,
999,071,770,337,914,399,340,122,311,779,523,805,156,418,827,062,458,745,893,
852,915,395,986,704,066,811,146,158,106,987,375,962,974,219,333,303,880,681,
009,130,257,429,606,919,422,767,475,595,944,099,179,767,126,649,188,199,267,
381,221,121,471,502,537,871,783,926,464,064,230,776,545,990,431,971,446,806,
978,307,020,297,237,919,251,324,267,080,146,008,921,612,202,470,843,469,950,
249,543,541,096,611,294,921,506,936,568,560,414,577,777,483,765,992,214,519,
870,558,112,455,852,516,647,202,217,563,794,507,198,129,648,934,177,015,091,
686,279,038,636,126,998,887,371,656,095,837,606,452,652,025,390,293,803,361,
826,730,499,392,478,062,290,552,298,985,552,887,043,772,357,703,010,478,171,
926,063,088,820,663,234,639,794,005,928,346,433,915,763,186,068,573,270,949,
887,729,876,200,810,823,441,021,012,676,797,086,898,435,533,602,668,112,873,
710,287,160,358,944,052,066,105,077,931,144,954,835,778,912,069,428,846,442,
238,414,614,629,822,660,289,711,268,117,717,549,249,521,399,186,368,607,443,
560,283,253,659,374,106,638,812,426,024,622,633,778,086,061,707,803,928,412,
008,081,385,486,377,521,477,650,120,358,036,933,664,215,791,700,506,410,488,
498,991,166,502,683,918,585,505,615,798,291,646,400,232,185,695,383,117,340,
528,307,461,847,162,840,171,217,706,424,711,766,512,125,029,880,399,490,418,
954,447,134,582,954,600,378,061,365,112,472,086,165,806,469,581,795,710,443,
266,750,577,878,166,829,600,971,586,498,930,117,258,713,620,258,149,977,806,
770,415,256,136,481,726,214,242,413,922,378,134,464,198,437,284,899,285,845,
649,148,489,216,503,987,332,531,974,948,440,531,009,217,218,904,577,777,321,
237,492,223,003,088,838,596,503,781,773,557,684,317,890,602,866,074,302,273,
555,230,662,945,955,116,338,576,599,911,565,472,778,222,968,025,005,723,890,
489,217,774,741,789,431,009,633,002,961,840,123,860,662,024,693,320,599,439,
857,861,323,989,134,301,221,999,764,479,915,023,750,096,454,904,569,104,135,
924,360,357,978,832,252,491,281,573,622,370,204,351,656,487,912,892,748,867,
405,214,886,700,237,094,806,335,795,170,806,983,311,415,750,713,830,176,401,
268,673,201,141,813,322,284,443,255,580,584,561,610,730,876,682,059,307,477,
593,671,297,661,863,855,945,864,203,554,540,085,136,169,858,894,704,171,935,
527,289,778,335,342,068,841,270,838,926,847,246,246,775,794,915,453,266,318,
452,830,181,121,574,311,705,496,337,457,492,523,697,769,333,456,456,536,316,
676,727,488,447,140,287,590,815,553,037,295,065,715,230,702,562,041,467,687,
793,750,953,409,263,002,355,707,342,945,215,555,714,644,411,745,709,563,815,
995,917,356,758,049,922,946,284,739,967,449,500,297,534,450,370,781,413,307,
357,238,996,322,823,055,473,742,188,549,875,896,654,179,686,924,799,027,807,
060,933,156,464,947,758,199,652,892,796,435,583,349,143,781,374,317,975,709,
694,420,917,773,155,095,979,305,135,374,955,809,379,886,582,956,523,298,707,
213,894,498,962,451,941,236,705,206,154,952,657,712,672,960,543,632,041,826,
087,221,893,973,427,411,397,494,878,353,100,411,100,456,665,778,042,202,266,
777,971,794,772,443,952,916,685,417,622,251,770,117,580,278,780,708,319,246,
082,359,069,270,330,138,126,481,852,867,494,972,182,391,346,534,396,987,382,
281,708,759,605,756,815,488,726,187,934,445,386,728,653,804,641,039,538,920,
821,978,063,262,599,347,698,582,211,698,949,098,753,108,196,833,898,546,309,
571,141,552,192,498,326,873,586,513,821,580,631,831,130,791,429,059,273,243,
365,214,225,238,532,870,159,640,301,920,940,038,282,387,602,081,422,718,101,
198,890,370,537,540,079,476,784,744,676,476,421,254,822,847,632,675,469,933,
838,215,345,893,308,872,142,924,976,354,016,997,438,411,524,310,420,757,826,
725,022,779,212,588,089,875,755,277,522,415,008,491,433,326,912,283,283,907,
109,154,760,462,916,965,770,822,372,717,316,683,439,193,515,094,423,258,740,
852,207,727,157,308,099,589,760,049,487,110,559,688,119,465,826,086,749,100,
760,139,723,577,574,717,564,474,958,892,866,103,951,271,320,248,951,522,444,
147,103,190,112,882,895,019,065,982,580,220,087,624,712,141,451,250,026,467,
854,491,217,512,965,141,620,223,337,255,559,873,206,477,787,768,892,109,240,
504,470,254,084,323,564,777,415,194,071,563,848,416,497,973,039,345,329,377,
756,158,512,126,080,442,935,719,554,809,134,613,703,346,933,588,229,664,153,
469,214,660,529,854,734,770,760,057,272,469,655,727,006,600,057,668,824,333,
874,174,943,353,385,049,669,958,855,445,872,932,061,048,793,996,205,176,088,
940,058,619,940,956,657,436,271,916,879,671,471,497,655,130,550,341,528,361,
322,072,441,878,048,898,049,862,166,635,924,114,477,045,763,918,867,366,976,
757,119,442,237,667,736,700,648,546,242,678,123,641,044,651,292,121,123,661,
876,784,271,027,880,995,765,849,496,687,933,201,929,257,566,870,582,077,465,
040,863,906,667,486,640,108,550,091,961,555,414,145,956,571,399,727,996,583,
435,122,155,887,544,221,345,863,974,889,992,310,344,648,015,234,050,727,564,
540,955,709,692,530,527,185,711,778,636,168,450,530,464,797,167,121,226,355,
482,206,458,366,429,297,129,445,113,363,654,491,102,876,392,843,551,852,224,
222,134,408,896,713,961,850,179,519,567,751,157,709,219,287,598,892,383,114,
532,633,521,185,040,513,317,008,215,964,687,874,020,595,905,704,470,181,621,
121,768,301,940,303,116,120,106,558,374,779,013,582,381,881,294,121,368,172,
159,583,414,784,048,601,204,367,803,622,804,247,497,922,474,859,042,167,392,
850,486,162,444,506,680,237,596,881,139,160,679,563,697,514,041,100,449,354,
529,494,024,451,869,224,052,690,426,265,726,116,083,667,066,722,069,660,110,
582,162,866,051,052,427,225,221,802,549,638,671,240,689,115,214,833,191,887,
645,018,107,770,186,255,408,443,399,056,883,382,162,770,958,828,830,249,597,
687,305,118,286,055,144,011,213,913,428,871,575,607,724,475,136,994,137,009,
025,095,747,110,889,162,636,643,350,903,271,593,450,054,033,922,629,624,392,
123,722,666,884,633,110,669,032,754,916,363,262,398,858,944,703,349,914,422,
968,014,781,418,714,955,619,634,150,634,393,755,997,941,025,319,679,396,244,
123,771,109,684,870,995,763,679,780,533,105,768,117,303,376,549,618,281,568,
266,663,693,870,133,030,328,011,831,521,706,443,082,772,557,097,188,550,957,
335,431,728,290,385,487,216,520,809,704,522,756,366,725,423,263,063,302,347,
471,315,467,649,910,845,567,993,158,178,075,268,116,379,266,067,094,253,428,
161,110,497,458,117,656,674,233,430,265,136,086,151,903,101,677,538,810,808,
815,835,901,254,230,094,630,852,328,491,838,264,700,583,317,001,866,193,381,
986,505,758,045,715,526,283,955,053,183,799,597,991,052,892,977,933,128,187,
896,345,595,340,678,034,966,364,242,658,315,982,631,089,083,154,641,580,128,
744,355,410,662,378,218,922,460,228,418,938,364,880,389,868,924,912,494,978,
843,054,235,871,946,863,038,813,414,360,911,497,574,898,692,097,204,597,861,
788,420,815,967,178,989,684,667,051,432,285,843,267,132,682,866,613,829,448,
624,905,671,655,177,749,414,127,978,660,024,123,319,500,321,546,754,580,309,
378,902,130,788,580,992,991,292,802,523,948,599,867,404,677,666,678,176,112,
940,213,629,857,302,455,106,766,846,790,971,322,629,513,306,091,749,621,063,
802,951,498,121,436,452,837,671,839,329,954,287,569,669,127,330,476,772,570,
949,458,319,346,168,080,851,901,413,385,365,123,950,591,680,549,437,983,247,
724,311,755,261,834,957,668,022,074,049,347,670,703,543,631,468,198,223,569,
814,076,414,659,765,612,960,621,859,425,109,428,116,732,534,503,415,071,299,
765,087,725,538,543,692,698,886,170,490,704,678,953,333,063,570,733,777,984,
099,488,022,462,143,015,718,316,352,073,877,809,754,115,412,402,685,495,294,
053,864,400,370,673,788,557,727,012,185,465,888,762,856,801,461,808,023,019,
988,989,708,062,711,268,338,473,541,116,640,364,764,367,487,650,209,567,656,
215,567,457,374,329,497,983,236,714,312,011,925,872,598,217,947,551,400,273,
267,650,396,845,396,435,053,597,844,770,794,877,661,457,455,465,547,668,397,
245,122,474,248,981,747,945,393,249,267,282,194,597,280,060,733,305,833,495,
184,358,978,386,962,061,401,579,646,203,216,180,133,691,932,682,404,158,406,
849,192,368,418,710,909,001,371,000,895,946,886,408,146,968,576,398,345,543,
127,998,254,508,770,864,890,640,551,329,691,692,341,900,298,816,231,202,272,
840,830,575,337,023,930,480,001,189,295,316,950,657,468,876,886,384,894,672,
786,992,400,590,664,955,485,427,446,050,725,025,739,603,182,142,532,931,834,
345,533,096,763,080,758,562,748,781,325,312,474,395,524,755,748,076,700,735,
704,868,331,811,166,420,074,198,685,495,352,930,263,400,943,472,167,764,852,
788,635,859,246,596,958,982,460,049,514,487,844,615,049,877,083,494,303,657,
255,378,403,235,890,998,566,236,851,161,758,876,927,305,086,112,114,682,861,
190,206,946,683,229,180,296,708,683,740,570,475,626,106,000,333,477,813,155,
616,858,737,810,399,826,556,276,738,028,818,402,763,311,142,016,400,223,449,
772,549,832,600,479,757,709,626,833,786,405,767,622,712,034,816,054,980,180,
282,602,348,443,987,915,780,912,318,629,790,999,129,625,484,818,208,537,417,
702,496,782,976,439,717,059,462,443,074,333,684,711,796,635,796,267,998,571,
160,025,460,881,829,410,759,550,190,325,949,547,739,234,442,361,306,898,656,
555,789,565,734,439,661,108,123,308,351,059,176,389,891,774,494,114,708,711,
351,399,641,720,486,499,691,764,515,711,543,891,160,865,167,518,912,642,555,
383,893,760,012,942,825,507,910,743,990,867,093,228,826,763,256,541,830,382,
227,131,472,718,775,876,624,445,749,014,744,690,923,939,490,881,579,226,214,
493,998,822,627,788,973,589,170,861,860,795,798,190,296,920,309,933,052,784,
815,003,071,374,258,196,467,643,186,469,207,161,407,187,028,339,306,901,931,
799,150,046,383,151,762,045,341,976,872,939,988,023,512,947,721,122,911,767,
308,006,540,396,291,784,077,916,627,369,634,294,800,612,298,455,070,702,628,
895,478,101,278,613,200,649,181,415,455,491,307,853,809,826,033,131,687,374,
223,587,592,095,658,676,917,085,329,634,661,570,943,579,072,312,624,283,802,
442,136,639,708,640,691,800,443,672,611,607,470,188,137,049,511,800,628,033,
310,709,845,495,796,516,793,732,724,073,971,106,397,637,363,954,752,652,926,
594,527,020,359,408,746,476,769,589,185,374,958,186,809,961,297,648,852,224,
550,221,548,780,568,142,521,484,907,870,436,902,409,236,756,336,454,164,165,
081,098,079,007,715,799,733,400,950,392,850,537,951,274,708,313,491,252,182,
400,147,204,608,798,973,917,350,095,811,395,779,430,395,566,891,853,142,230,
308,104,274,992,612,863,394,698,903,857,030,698,304,899,797,752,747,500,117,
645,051,110,395,655,705,783,122,854,850,731,896,911,746,103,159,885,586,301,
787,492,519,294,087,627,845,337,303,116,869,880,244,577,454,824,535,377,309,
982,143,838,531,844,022,781,285,286,086,214,198,398,848,056,841,583,661,170,
197,181,068,463,114,071,862,295,957,314,880,665,128,169,932,365,126,023,561,
007,542,918,437,689,911,810,147,924,211,268,302,526,642,567,767,721,708,198,
866,684,093,881,743,836,119,038,785,152,562,357,270,930,982,610,742,487,555,
379,043,683,697,658,593,667,480,180,422,259,735,754,461,412,874,698,502,883,
109,749,006,112,508,093,792,715,292,249,225,607,276,569,927,966,597,830,174,
380,292,640,956,772,861,065,285,012,806,080,684,863,866,494,321,544,677,476,
295,360,702,255,257,646,495,669,673,576,852,467,062,480,530,653,100,761,795,
957,970,571,471,582,232,224,513,307,742,444,886,939,729,807,888,649,498,064,
165,309,296,253,705,803,825,458,378,165,668,209,645,206,251,231,305,713,322,
312,197,221,343,952,273,251,961,370,131,746,743,303,226,353,924,779,844,308,
628,688,113,772,253,291,925,861,785,117,664,775,208,513,622,531,146,278,028,
691,987,108,360,804,646,926,991,965,137,483,889,634,379,316,306,424,798,926,
671,721,656,737,066,574,392,930,954,635,745,535,172,224,212,559,529,573,475,
367,019,947,265,107,458,644,946,011,047,894,397,152,073,410,249,836,492,469,
148,646,318,704,647,117,235,689,304,491,044,579,258,559,309,287,125,547,636,
519,706,913,141,938,787,927,374,052,506,394,025,702,357,090,682,233,113,811,
595,386,405,308,864,838,447,644,207,559,114,925,351,811,108,741,593,317,887,
021,825,737,364,829,289,867,413,006,322,824,623,906,607,688,395,905,400,631,
880,140,583,721,958,575,840,453,017,036,690,989,225,731,180,235,652,371,776,
234,531,723,563,918,983,542,197,328,314,262,996,822,925,551,144,927,918,822,
932,111,922,301,026,030,785,021,279,997,766,377,990,705,108,795,090,964,470,
037,478,586,506,378,705,539,086,998,350,096,180,000,460,226,956,211,502,216,
755,116,512,314,215,867,531,277,822,069,128,106,141,891,340,011,412,872,183,
687,406,380,939,717,807,688,886,625,362,053,371,525,608,598,460,048,781,620,
814,590,620,776,782,204,459,036,171,812,907,505,895,383,632,777,312,791,489,
152,138,096,566,725,018,751,108,394,219,536,879,321,033,428,564,432,799,177,
904,449,586,725,755,491,259,562,569,595,983,762,800,848,235,957,010,357,947,
666,960,175,480,801,530,547,990,502,556,461,876,803,883,647,931,016,189,723,
882,737,917,600,869,183,557,437,757,287,141,936,629,359,354,001,828,950,709,
540,942,991,499,426,578,100,257,668,766,398,006,345,532,716,914,312,979,873,
496,949,979,025,172,707,207,572,819,457,083,636,845,398,447,156,475,362,991,
480,764,452,058,306,072,142,843,067,978,937,584,882,781,904,387,879,334,033,
952,935,978,817,789,189,074,451,935,178,245,215,851,800,906,156,216,693,987,
546,880,560,715,458,782,546,003,741,760,408,356,552,269,264,121,306,371,727,
918,598,740,243,497,789,622,714,250,275,104,773,452,846,011,561,755,776,388,
017,508,533,184,686,412,396,458,678,519,348,783,013,737,216,240,800,168,420,
385,074,000,139,803,802,641,650,196,872,832,780,718,120,093,293,739,172,945,
883,005,444,106,036,346,569,261,450,870,481,384,767,595,893,902,378,199,131,
117,655,339,053,758,673,819,208,315,113,176,928,834,121,267,897,837,589,455,
430,257,611,280,729,582,379,250,349,428,129,427,137,883,874,694,783,910,122,
166,345,141,394,316,500,063,477,272,177,910,103,187,090,743,558,283,848,977,
263,957,776,400,173,418,129,363,623,893,518,445,859,742,050,793,474,057,051,
032,541,903,270,191,961,172,968,011,386,324,734,183,129,420,312,620,923,633,
933,488,799,084,429,109,249,857,042,226,656,811,247,423,510,059,165,670,307,
679,843,155,287,405,559,132,663,655,708,514,262,914,608,903,864,411,281,840,
517,474,056,026,044,767,119,783,185,340,300,933,550,961,157,254,932,304,723,
740,698,057,689,201,377,365,137,702,839,114,039,597,611,000,388,924,304,550,
168,471,861,412,038,269,967,335,904,290,406,794,162,211,634,345,364,178,174,
100,091,302,275,353,748,199,484,519,219,446,310,538,183,040,679,991,325,240,
584,621,106,216,071,582,659,600,689,206,821,956,277,328,455,779,543,406,217,
845,805,329,621,451,150,534,925,168,326,086,978,552,840,295,480,342,712,099,
988,092,865,673,280,180,969,595,313,683,539,672,716,389,115,906,743,280,413,
371,155,103,834,499,439,185,683,904,406,583,780,729,618,717,342,215,924,395,
349,483,499,201,201,183,225,785,150,964,053,493,023,014,033,242,465,187,589,
746,424,380,171,167,245,592,302,276,254,312,781,727,286,823,238,800,821,392,
308,827,797,626,327,532,815,310,224,229,762,138,291,706,136,914,387,795,244,
901,560,879,629,333,831,388,228,834,271,951,243,016,323,476,968,951,408,260,
221,339,493,652,147,708,158,429,847,635,056,716,956,956,542,908,239,370,698,
345,455,106,731,467,582,779,643,133,988,847,916,921,758,725,963,287,750,530,
260,219,496,516,516,001,471,349,684,121,963,703,650,624,149,142,958,816,218,
911,507,316,053,538,057,081,190,008,140,364,153,160,402,376,665,360,551,425,
822,158,377,803,129,602,409,984,484,526,052,181,963,616,065,743,330,078,863,
488,339,762,346,451,972,296,979,794,750,252,184,121,046,365,730,859,965,609,
470,265,887,184,978,859,028,890,044,596,799,178,922,905,752,663,698,965,336,
671,341,282,369,895,847,382,821,385,105,401,141,057,516,781,219,668,422,275,
393,017,374,267,179,058,357,908,968,256,213,323,995,825,724,123,861,525,362,
322,465,587,557,930,681,871,636,744,126,490,780,762,116,260,350,294,666,020,
299,619,414,651,018,615,275,543,909,663,948,159,394,000,381,652,010,834,521,
325,518,167,110,524,441,086,478,037,813,324,738,368,033,106,095,617,401,952,
979,235,084,607,366,331,529,020,584,298,034,424,592,514,219,046,933,883,505,
474,514,517,460,982,310,596,503,544,010,997,607,040,070,962,971,870,319,166,
033,478,015,863,016,505,027,656,242,253,230,976,864,794,187,506,553,808,852,
128,137,829,408,956,606,920,268,429,075,731,127,635,452,474,887,124,774,525,
572,079,353,161,802,879,397,555,041,373,499,702,709,550,610,670,703,715,648,
266,605,381,486,335,134,743,245,893,850,173,921,829,476,564,124,867,324,775,
584,584,601,514,647,626,356,537,936,161,996,934,599,833,499,102,652,052,835,
168,231,101,341,070,494,648,503,149,367,477,426,449,757,637,865,887,580,510,
849,065,292,078,285,875,839,620,043,218,894,379,777,685,370,896,340,503,617,
549,969,914,576,643,516,152,949,766,914,822,372,813,311,412,265,763,947,884,
408,833,466,594,248,342,973,716,647,800,195,994,415,250,639,655,213,808,233,
507,680,840,760,547,705,101,061,495,882,800,573,580,724,347,925,823,498,795,
181,953,708,371,700,207,338,177,965,673,025,277,339,791,316,063,908,601,942,
954,012,896,798,334,250,821,868,277,739,220,758,761,969,524,509,041,332,936,
161,642,603,507,343,152,703,804,794,603,764,849,074,749,638,576,023,337,520,
245,095,578,626,654,815,318,939,860,409,933,317,480,038,855,555,147,828,406,
102,411,194,003,071,907,137,018,905,936,487,299,541,390,014,773,983,414,756,
395,430,264,799,138,244,726,530,059,129,160,924,429,461,717,947,496,988,921,
727,224,340,718,966,697,764,995,794,949,162,847,597,055,662,151,930,093,731,
815,448,250,025,240,632,232,957,863,259,088,532,937,809,715,260,034,772,318,
329,106,825,199,337,027,614,703,269,976,211,627,426,732,900,879,989,886,277,
161,624,252,921,992,623,053,959,259,411,296,225,765,992,620,553,647,939,956,
429,244,969,722,014,000,998,624,460,349,305,904,929,485,120,897,538,714,243,
504,349,930,416,847,480,088,762,564,955,098,864,336,919,980,018,960,089,370,
996,990,554,222,017,281,798,709,339,718,963,886,704,533,290,402,241,942,393,
373,335,691,181,551,794,748,870,938,744,461,128,371,890,319,956,425,027,104,
520,075,816,439,583,483,768,144,598,174,654,019,959,211,275,299,703,908,442,
302,401,793,650,855,924,592,075,221,527,608,799,645,422,982,020,512,882,874,
440,027,315,585,568,233,688,042,361,994,602,529,870,764,467,374,502,996,960,
488,233,096,200,197,230,153,670,432,105,211,695,194,463,419,963,112,774,285,
855,332,007,312,486,683,681,287,999,548,215,117,704,747,787,589,171,779,377,
508,338,741,357,369,213,826,779,784,257,134,509,589,576,971,731,951,072,752,
248,478,372,291,653,708,407,734,331,477,240,844,844,212,882,903,045,634,329,
805,240,628,464,042,513,133,613,332,788,066,439,407,222,273,673,717,791,617,
943,896,244,072,392,614,629,470,921,793,364,927,629,897,212,508,423,312,415,
851,333,394,703,592,910,481,251,515,091,923,165,583,014,624,617,069,443,218,
005,475,011,782,338,538,411,993,631,253,854,290,451,138,436,847,804,642,391,
891,160,872,369,575,282,873,416,384,579,477,382,191,315,535,729,810,675,730,
162,718,660,252,251,474,011,821,627,367,979,862,470,472,285,663,467,269,062,
055,246,772,600,863,198,080,175,914,480,210,812,498,737,124,564,953,087,391,
254,186,929,988,754,192,963,641,530,433,707,904,583,750,198,652,389,455,545,
332,186,498,522,853,124,744,050,171,045,892,571,865,152,213,732,705,125,741,
553,618,995,943,946,920,196,160,601,525,392,435,665,755,367,143,011,017,189,
667,404,074,236,969,701,572,385,034,452,797,290,835,529,016,566,644,770,874,
576,751,916,785,895,914,058,149,044,209,256,458,487,754,769,818,647,851,709,
375,714,009,514,659,213,719,644,054,690,310,450,168,660,151,705,611,465,356,
878,322,149,559,663,740,310,436,952,603,823,761,856,268,544,858,719,899,241,
044,913,010,550,311,388,022,106,905,801,600,276,097,589,681,872,804,929,361,
035,813,874,008,606,994,989,201,411,285,283,508,722,081,432,849,680,985,092,
392,810,921,133,380,631,521,664,947,822,096,983,227,522,603,805,977,679,759,
611,854,835,841,593,352,877,319,807,236,435,207,808,598,536,091,056,216,144,
451,456,999,781,786,808,762,202,419,141,757,655,034,322,576,318,468,120,138,
729,082,282,510,948,625,411,363,789,069,430,300,054,625,201,615,419,461,479,
537,634,835,442,291,501,440,046,194,845,156,212,185,620,292,222,618,610,051,
708,942,907,877,838,891,695,466,240,395,039,813,097,127,664,033,397,194,137,
025,323,071,722,681,619,800,604,845,100,416,452,737,980,915,417,957,443,321,
003,837,632,614,891,145,482,409,719,915,985,000,608,976,927,148,415,429,086,
636,897,842,879,558,939,985,650,921,567,430,345,461,754,590,774,783,841,256,
159,888,614,550,080,585,052,677,419,652,237,705,968,730,837,679,778,785,674,
620,499,417,475,870,843,840,096,588,551,229,409,101,633,294,962,837,114,954,
787,181,658,601,602,733,953,989,912,568,901,006,044,730,741,980,156,745,173,
891,628,073,175,705,935,982,834,874,465,148,883,500,060,245,810,236,522,594,
469,823,134,043,214,144,706,770,156,909,660,262,915,993,289,350,276,554,050,
680,276,374,326,421,923,248,456,329,833,646,821,522,837,817,688,224,342,031,
187,043,395,232,043,451,387,774,167,418,476,220,703,430,798,659,300,560,903,
869,920,182,833,645,549,361,703,266,538,189,997,683,215,578,729,414,481,749,
001,020,932,177,241,619,704,259,843,793,253,319,071,832,547,641,170,484,199,
103,146,070,909,140,964,386,744,584,328,493,527,516,136,388,261,545,338,405,
434,702,687,995,888,000,234,488,905,498,904,300,661,567,239,677,309,455,305,
584,211,012,593,029,266,907,157,054,453,025,883,959,131,318,072,555,818,327,
950,804,215,520,167,831,542,456,378,437,144,951,727,969,328,717,278,018,958,
172,601,298,217,043,844,853,186,194,488,463,548,661,033,233,006,326,212,740,
703,192,821,152,406,074,520,347,144,957,901,757,353,396,398,406,358,593,007,
426,615,509,085,639,158,385,330,686,578,747,039,441,256,565,296,915,684,449,
667,675,447,358,191,465,899,504,522,114,606,230,773,777,276,372,782,666,266,
900,468,718,881,832,887,156,163,325,975,079,216,353,472,491,158,076,495,224,
323,030,757,963,162,365,404,234,879,631,716,574,951,052,556,768,269,411,445,
168,025,540,399,034,717,961,666,016,508,042,112,937,371,553,285,497,862,833,
421,796,572,280,835,432,510,170,404,965,918,137,809,750,450,468,805,138,911,
262,994,583,379,914,411,185,221,607,681,850,543,797,176,276,283,091,931,687,
740,130,742,278,407,381,117,876,372,542,363,727,399,664,963,323,922,229,416,
599,670,028,903,749,925,534,680,734,659,011,731,325,173,921,933,317,146,020,
551,263,283,106,448,469,998,516,538,724,223,636,838,169,196,463,456,845,849,
199,651,880,256,834,391,677,187,947,176,015,414,642,972,498,178,478,262,214,
982,673,426,085,108,286,624,181,660,445,399,516,734,299,860,774,051,949,604,
474,783,405,756,128,945,179,342,165,882,181,516,291,925,131,105,596,746,114,
621,018,428,301,241,736,229,005,318,783,728,844,401,779,744,181,578,332,809,
554,482,930,204,004,938,816,372,423,126,807,541,807,395,849,136,262,945,729,
319,734,092,273,228,730,367,548,065,607,927,457,634,607,537,720,078,724,182,
572,052,523,482,502,998,223,527,736,566,742,956,093,186,808,181,983,355,670,
353,427,018,503,532,216,939,684,359,535,141,445,816,802,142,570,420,347,874,
263,682,028,115,815,437,969,084,014,410,876,190,947,864,724,038,665,202,698,
212,924,275,229,291,391,396,652,194,579,249,142,021,219,540,062,675,086,726,
262,123,847,620,227,332,656,741,924,994,213,141,188,654,067,748,899,564,927,
209,134,163,302,148,008,248,673,348,203,001,033,745,838,539,837,223,968,780,
612,827,656,756,937,575,335,158,192,728,590,092,859,477,201,923,311,307,768,
925,604,112,827,876,746,801,252,931,456,607,476,443,974,197,586,520,877,091,
944,399,425,372,909,713,574,303,201,647,952,287,307,359,072,522,407,738,074,
666,317,882,193,269,946,327,928,179,449,068,587,195,817,975,232,253,691,874,
710,234,347,666,134,824,266,097,449,801,280,588,674,271,028,613,310,180,729,
545,151,866,865,234,467,622,379,789,632,565,384,912,222,730,384,215,567,659,
156,260,708,605,820,867,251,208,754,710,860,124,367,634,361,825,171,717,879,
964,882,347,264,478,655,804,617,036,763,868,204,434,495,797,378,646,409,274,
587,415,355,564,461,173,076,151,809,241,709,024,295,861,123,345,980,796,362,
011,471,822,404,659,617,018,842,014,602,938,271,335,774,578,678,582,238,664,
221,194,606,830,027,035,535,553,870,450,376,351,180,022,976,314,611,691,663,
172,721,104,279,298,871,441,445,966,185,391,353,093,923,378,962,789,707,814,
241,148,827,626,615,888,161,687,269,555,107,415,993,164,738,659,376,758,692,
163,108,130,001,094,214,978,676,019,614,343,259,074,600,684,691,143,701,504,
882,587,742,024,116,407,842,261,813,844,510,273,261,555,461,067,010,299,793,
480,904,815,233,788,067,127,791,257,976,528,188,722,069,146,569,007,078,398,
638,961,716,835,279,230,678,353,759,874,473,446,306,509,116,603,704,071,077,
783,451,681,284,029,916,550,000,402,609,500,840,505,876,317,069,430,585,686,
852,444,408,889,645,400,372,247,579,642,237,640,423,815,879,397,221,851,103,
151,632,623,703,466,006,397,329,755,167,415,412,172,416,964,605,481,278,197,
722,263,415,232,479,288,598,543,730,015,986,725,069,009,157,858,843,043,650,
401,496,761,102,523,473,325,034,259,319,622,007,116,137,749,837,168,474,094,
243,535,160,418,610,240,359,693,605,053,950,662,686,809,436,204,163,077,185,
732,982,327,699,495,701,815,128,081,451,649,720,082,289,512,687,355,106,227,
932,827,121,946,664,569,116,648,398,580,699,521,542,275,325,207,562,419,287,
333,694,599,303,497,654,149,812,834,819,130,965,584,478,848,723,123,913,096,
080,806,445,959,945,170,782,776,489,703,059,559,286,177,624,451,681,716,005,
812,907,945,450,030,272,500,781,987,993,837,734,692,005,783,155,735,065,738,
943,297,145,182,801,233,056,168,191,652,031,592,887,838,301,457,709,812,792,
172,173,170,939,670,459,488,375,118,341,950,215,333,584,049,568,885,619,936,
794,867,926,929,882,278,043,928,338,449,202,851,231,645,041,566,782,658,855,
730,560,439,546,384,344,588,060,320,863,640,794,085,451,395,652,914,664,040,
382,577,552,835,978,208,770,113,585,190,777,032,057,851,349,203,828,702,280,
370,357,572,184,265,661,394,579,618,187,241,406,021,738,656,535,714,391,661,
214,876,534,389,304,207,955,816,124,321,614,187,264,576,471,186,701,929,422,
624,986,984,692,076,150,927,260,699,568,656,625,986,710,968,580,832,204,620,
275,808,102,046,061,914,407,935,681,373,012,979,351,278,590,607,947,512,100,
648,536,949,158,058,034,990,964,337,345,389,780,534,231,851,124,891,714,221,
453,889,378,301,226,026,658,359,224,272,983,454,309,789,569,326,123,401,924,
749,648,222,096,570,058,300,278,095,441,774,820,453,576,429,448,143,301,111,
070,900,092,858,811,845,272,725,776,817,261,160,266,508,976,373,068,561,403,
068,158,447,023,529,317,245,596,376,668,114,438,668,725,237,624,551,265,976,
642,164,466,600,805,764,113,794,092,634,288,156,125,844,368,294,284,183,849,
235,464,160,585,427,009,073,131,674,172,463,096,441,741,888,355,520,525,766,
390,206,790,996,769,341,316,121,108,419,998,207,970,969,643,474,472,695,276,
500,621,901,952,468,006,572,262,548,697,526,695,577,204,763,197,501,908,213,
181,191,651,279,482,260,861,028,354,823,087,604,443,942,157,464,416,912,105,
331,135,514,329,057,853,406,534,504,136,124,058,067,323,895,437,473,023,164,
601,901,735,132,861,363,724,839,900,033,971,039,464,773,357,713,470,834,489,
929,050,515,117,369,595,548,982,793,273,144,754,469,429,421,354,476,221,743,
171,784,571,447,380,392,016,212,837,220,744,242,123,796,945,239,008,910,044,
689,219,082,909,141,612,150,509,244,022,609,593,428,407,257,362,421,965,690,
808,318,057,820,127,765,590,357,952,564,893,762,545,066,804,795,796,558,067,
437,679,765,908,186,629,091,848,455,782,889,449,987,052,120,015,949,845,741,
040,270,655,363,815,609,242,214,112,265,465,348,880,159,698,946,659,574,615,
001,907,904,116,859,237,384,299,042,570,478,678,830,029,226,195,772,428,643,
344,990,530,619,393,111,304,740,747,372,044,549,483,173,235,177,858,500,107,
769,900,319,505,513,099,354,957,205,194,606,389,226,163,933,335,290,236,861,
966,193,258,521,189,205,180,079,708,417,670,826,892,556,467,242,914,005,983,
416,819,537,624,385,410,469,061,832,203,088,518,212,406,095,525,296,183,294,
843,289,754,308,566,113,396,030,261,439,099,329,225,394,271,352,222,377,450,
418,695,921,231,470,087,501,746,614,981,286,526,608,361,365,196,686,723,166,
209,342,242,497,508,834,571,329,150,371,555,313,428,997,068,746,035,065,898,
244,689,364,485,014,289,311,066,848,227,685,546,156,116,730,297,092,353,702,
504,395,691,368,354,897,253,552,715,491,195,861,906,410,978,715,100,991,425,
688,143,759,631,021,897,176,826,023,880,203,193,853,693,026,457,268,285,049,
708,297,913,512,434,132,978,511,753,248,769,549,590,810,827,961,384,691,570,
504,597,595,394,433,005,854,824,419,442,626,923,561,189,566,413,583,525,210,
483,742,666,875,431,313,459,643,938,520,532,535,844,756,476,111,392,941,989,
392,868,468,412,923,310,650,846,943,223,811,356,129,442,906,435,864,656,366,
457,360,425,943,914,230,162,554,266,534,673,670,057,737,658,715,252,288,405,
967,372,798,770,223,830,186,693,112,854,197,977,481,776,868,914,062,537,264,
919,177,168,298,944,449,894,226,652,788,641,590,871,501,075,107,082,153,113,
516,129,097,444,605,720,112,601,020,149,188,439,464,628,956,183,184,530,968,
114,223,636,310,787,849,233,350,076,532,929,664,938,012,297,157,995,476,519,
925,050,591,795,084,426,604,165,493,785,445,134,375,640,467,318,902,414,029,
330,793,406,334,439,108,126,409,050,906,002,773,226,011,037,126,665,117,296,
176,528,732,644,351,102,198,776,134,757,707,912,228,154,400,785,382,881,491,
500,316,440,820,398,732,024,272,745,167,823,173,970,364,939,107,932,652,152,
431,673,498,951,164,783,694,868,614,674,926,365,726,046,068,880,700,618,326,
383,289,231,197,411,382,123,175,338,105,051,170,679,972,168,643,125,876,916,
333,141,377,504,983,264,031,402,295,424,670,282,549,862,663,409,004,635,375,
206,640,139,204,764,149,474,514,665,644,330,456,794,924,999,040,849,390,030,
887,606,419,974,635,723,921,402,806,692,492,245,268,433,077,636,114,282,208,
697,785,086,455,921,832,322,300,078,322,782,938,880,953,883,431,232,710,368,
951,719,233,580,183,397,877,079,146,287,516,620,549,184,765,383,081,795,380,
542,510,648,925,114,377,057,357,905,137,529,196,433,561,460,647,647,523,975,
307,491,898,108,516,693,862,507,477,191,616,047,862,957,050,180,680,263,573,
198,864,681,902,478,922,895,705,232,499,070,977,688,544,443,181,128,558,987,
424,333,925,261,212,093,960,188,716,687,810,126,458,851,708,139,537,222,939,
637,138,594,256,895,506,848,352,250,032,963,622,621,005,796,898,897,760,673,
595,239,019,650,018,344,361,901,618,080,988,836,738,688,563,230,660,145,974,
445,785,444,270,049,320,138,711,140,693,237,758,589,200,420,139,226,358,712,
579,377,018,147,577,137,277,038,926,812,286,621,692,579,131,154,268,646,377,
785,391,903,794,486,466,360,596,800,733,721,373,561,132,008,468,128,986,114,
376,055,161,891,981,113,024,176,805,692,608,409,457,450,415,074,609,766,543,
117,839,213,716,345,100,213,369,236,447,929,905,987,580,083,325,965,939,642,
318,100,658,569,546,053,438,959,705,202,091,835,150,821,259,698,024,220,373,
386,975,226,734,668,007,119,873,064,072,383,470,977,696,198,989,008,744,893,
486,311,344,237,917,525,096,625,060,763,453,878,112,625,223,784,383,445,188,
439,281,258,490,737,425,924,801,335,884,253,390,981,965,667,926,191,053,748,
261,859,518,145,827,791,780,095,255,547,051,325,769,083,252,465,394,189,185,
439,278,266,533,532,113,073,564,970,654,160,020,824,273,771,885,106,911,439,
382,250,613,861,982,789,115,020,925,809,462,350,226,339,638,741,682,676,132,
758,604,374,609,701,230,934,025,334,234,406,947,467,895,853,647,076,540,129,
929,304,302,672,693,743,810,820,672,990,718,752,318,404,741,691,662,968,944,
339,305,894,715,347,386,382,966,478,340,300,709,357,632,047,083,183,568,944,
232,100,185,011,602,092,896,816,504,566,495,457,822,546,102,996,154,267,346,
663,701,212,916,497,709,540,509,394,717,066,427,487,268,015,636,518,167,618,
275,010,834,723,852,978,206,310,737,608,282,155,214,189,293,345,868,170,458,
430,784,686,981,227,008,922,249,697,733,764,948,352,875,295,782,885,636,448,
007,573,471,821,394,954,157,983,703,435,047,298,114,995,039,206,808,284,652,
353,398,396,316,725,418,649,291,091,833,488,207,233,004,211,223,969,245,661,
734,682,300,086,297,350,008,247,118,876,784,132,859,077,753,732,489,266,611,
743,615,113,284,210,081,676,848,507,418,487,727,989,835,326,178,281,765,491,
182,372,091,523,767,384,258,505,869,372,196,649,751,457,870,885,106,636,189,
988,186,359,799,427,829,799,695,282,038,795,572,397,401,190,630,014,739,927,
224,853,779,976,477,249,852,799,902,724,161,230,405,819,522,835,230,559,392,
218,270,087,280,581,786,714,922,078,203,821,703,567,268,694,722,854,855,728,
270,740,064,881,942,085,955,545,274,676,819,081,958,172,438,489,887,026,823,
640,528,048,362,544,803,135,645,873,927,068,570,459,956,042,164,806,626,653,
964,641,518,633,820,028,999,244,928,244,345,963,617,572,660,459,899,420,393,
824,347,704,900,895,012,995,868,256,546,598,645,304,433,295,263,215,680,021,
555,851,028,029,907,033,737,945,271,548,745,887,775,739,422,895,891,882,674,
874,512,386,897,628,776,258,138,566,063,486,601,088,794,884,909,510,644,901,
107,556,763,358,919,942,443,125,203,155,407,092,353,130,948,773,715,579,145,
746,650,722,709,059,563,256,489,267,003,521,896,342,817,993,342,718,246,166,
761,487,533,703,668,462,776,028,564,522,910,577,604,886,617,660,210,230,831,
264,895,795,381,153,486,125,529,495,067,498,773,433,923,386,651,493,375,612,
026,836,079,337,003,082,773,059,287,849,369,581,740,191,837,714,265,150,885,
250,780,633,214,850,156,437,249,461,330,056,478,895,437,421,904,630,876,684,
976,685,468,194,821,414,031,683,541,166,421,251,289,988,089,321,162,095,248,
128,789,033,282,981,002,319,456,682,946,266,528,460,912,971,919,438,952,035,
426,532,671,548,643,414,363,219,677,070,641,945,399,920,828,404,505,159,255,
206,690,124,233,237,991,753,856,215,216,815,276,845,451,957,154,529,329,676,
731,420,602,635,830,118,005,901,649,716,386,217,234,587,465,425,805,514,101,
795,491,683,425,366,860,494,149,766,214,111,180,904,897,997,862,503,721,668,
772,959,066,823,596,726,886,939,473,321,224,528,601,584,184,045,210,733,823,
351,381,285,761,156,839,094,849,252,597,697,073,890,284,733,869,359,817,263,
921,242,616,598,036,904,064,213,784,163,518,660,847,654,441,555,757,405,264,
314,465,389,575,744,476,357,826,797,842,392,048,232,847,167,876,333,281,337,
534,820,993,935,422,685,262,772,028,633,705,155,158,551,792,729,185,017,190,
834,260,197,208,677,111,889,876,355,886,303,092,385,037,302,895,926,660,026,
111,372,425,766,447,906,569,741,055,397,974,347,417,920,266,273,405,054,567,
788,112,140,931,626,258,842,278,771,387,238,088,866,148,532,739,378,110,863,
857,340,983,959,944,219,962,118,513,572,968,580,038,366,228,132,063,640,026,
141,616,345,938,642,036,975,643,153,965,478,494,449,419,242,007,204,958,744,
297,701,394,736,705,031,720,528,973,650,429,909,647,264,045,294,401,371,209,
573,875,913,338,169,392,187,237,627,909,647,716,224,527,003,317,992,185,940,
050,917,042,054,983,280,368,296,704,931,971,088,964,631,720,329,472,824,378,
916,131,956,240,836,206,223,244,607,059,753,352,831,299,327,808,253,776,140,
084,462,109,987,477,590,187,182,496,833,913,169,726,252,118,188,853,869,022,
216,401,681,012,529,753,101,082,057,910,884,405,455,037,572,897,094,809,809,
736,357,468,947,678,524,086,104,961,986,919,108,536,882,716,683,466,213,281,
082,988,782,666,695,445,266,401,943,773,954,205,920,362,239,584,385,833,466,
316,205,268,298,624,709,899,713,643,844,092,995,416,131,850,684,507,597,368,
974,622,661,467,952,499,920,438,834,676,432,582,802,314,554,210,695,587,484,
667,104,365,322,313,044,389,976,128,171,722,297,470,221,365,880,542,080,007,
156,619,604,420,077,318,275,190,322,387,329,240,777,940,285,010,449,457,786,
464,453,993,832,866,583,706,510,081,554,940,049,715,659,715,977,707,700,004,
517,757,518,595,516,836,789,726,385,785,932,742,162,486,787,767,265,638,807,
839,105,351,066,113,229,717,415,941,095,189,585,116,202,363,560,898,902,072,
196,082,543,271,951,929,877,123,742,523,112,221,181,469,958,210,179,419,590,
006,879,146,467,713,379,473,734,647,218,677,776,884,514,772,655,142,200,720,
519,993,556,068,101,761,829,872,342,383,328,362,736,603,519,748,332,109,984,
952,845,950,853,299,135,844,413,272,757,918,763,217,982,821,934,494,425,345,
194,896,385,460,337,055,612,715,863,436,906,895,503,237,539,026,758,494,937,
394,039,087,807,368,717,163,653,405,742,518,812,809,241,232,099,712,589,637,
729,729,180,780,426,174,760,578,861,520,949,764,216,352,223,912,116,209,540,
660,411,855,357,667,129,985,063,947,789,464,995,000,740,775,027,422,363,226,
087,253,911,631,996,360,086,699,485,269,449,889,576,720,059,186,788,968,143,
319,572,758,911,437,484,836,259,727,226,001,576,593,217,620,584,144,318,674,
875,308,102,298,475,456,551,034,154,696,067,438,420,810,692,851,373,553,924,
138,550,610,675,557,654,536,417,078,886,016,058,701,952,907,848,375,087,925,
567,183,186,153,877,939,650,178,113,521,847,071,472,301,227,933,594,919,273,
516,600,571,518,306,487,008,114,140,422,066,050,288,015,063,001,729,389,996,
572,375,992,886,324,026,876,141,815,792,231,774,780,250,554,423,383,789,658,
527,804,079,766,577,518,534,466,007,172,615,404,435,752,530,493,040,669,557,
633,187,916,517,380,918,611,098,437,177,194,800,375,647,848,121,271,929,831,
960,336,550,909,571,177,424,092,918,642,775,427,876,127,888,905,426,215,655,
221,414,168,718,692,663,364,095,531,843,560,621,204,378,546,048,154,032,380,
147,578,860,528,048,092,160,611,544,498,754,957,130,596,420,524,739,475,704,
218,634,735,335,276,627,569,504,462,854,671,060,198,108,802,477,535,278,438,
657,207,233,670,677,230,483,844,917,943,606,529,205,765,060,584,845,346,514,
354,099,467,160,192,588,914,569,495,289,806,481,765,850,668,687,468,145,141,
498,038,206,850,472,734,224,211,034,806,522,209,957,210,305,143,733,795,978,
005,881,171,436,048,164,772,127,538,975,006,715,469,911,377,220,611,635,252,
017,925,018,778,664,415,810,345,988,651,287,566,502,138,812,393,014,970,758,
995,633,003,136,136,951,058,189,140,210,701,447,823,565,699,154,179,681,032,
825,698,385,251,537,311,766,994,852,862,189,347,077,987,256,830,111,260,937,
982,958,579,805,306,166,910,309,046,942,935,689,675,244,491,140,375,328,297,
889,199,253,233,995,523,838,090,770,085,502,120,076,388,636,775,813,014,188,
898,668,804,644,232,676,690,314,934,553,444,590,365,528,534,128,659,427,487,
895,495,086,181,148,379,332,075,626,903,461,064,322,533,339,592,038,861,426,
330,394,070,004,349,094,705,416,471,717,650,893,973,103,837,183,077,691,948,
644,256,844,775,500,252,231,348,863,988,867,054,429,506,157,318,590,145,965,
357,913,097,966,801,430,345,774,104,222,062,080,712,559,042,958,114,831,871,
565,707,328,455,544,098,047,456,700,052,006,704,186,416,096,210,203,507,473,
571,807,100,633,581,503,914,548,903,786,827,463,652,710,203,936,871,987,954,
840,801,132,739,642,841,320,043,501,749,275,315,551,289,227,712,658,058,931,
336,245,115,445,292,818,717,804,587,115,298,533,959,931,435,950,730,052,534,
795,510,827,771,863,805,324,953,550,031,146,248,412,019,265,251,904,809,248,
870,936,177,136,959,142,373,046,181,623,732,430,812,161,541,577,310,098,071,
655,017,619,733,192,438,163,819,991,385,276,424,065,770,441,322,855,800,259,
334,696,580,274,832,422,430,311,468,244,857,369,967,810,363,189,098,809,510,
558,505,333,816,794,054,146,319,863,474,116,132,933,072,131,154,453,707,126,
572,006,554,152,891,922,282,304,795,863,170,222,745,930,949,642,224,430,982,
739,996,235,805,409,637,537,952,165,173,503,469,807,794,112,875,787,693,935,
976,629,382,573,102,391,195,501,113,810,736,670,010,740,669,708,197,564,196,
757,417,188,570,975,047,513,624,670,628,755,836,722,032,172,083,206,679,097,
537,546,902,276,308,032,409,704,251,223,310,399,125,349,785,488,500,960,097,
854,133,644,094,173,660,556,158,152,056,493,022,300,912,408,237,542,240,714,
492,668,136,971,713,477,413,727,863,907,499,032,008,093,775,482,775,815,815,
990,808,751,225,069,062,066,933,112,408,092,862,853,190,795,402,160,395,623,
245,296,657,127,163,722,485,228,212,899,119,341,968,228,646,361,529,084,881,
582,328,298,350,378,176,167,225,767,184,571,994,091,604,994,370,930,930,644,
356,433,173,168,387,089,811,929,036,387,647,863,188,013,781,435,326,775,821,
794,641,915,770,094,859,143,493,266,022,408,873,327,485,701,936,647,251,864,
855,096,191,129,108,885,583,979,072,755,007,393,198,692,140,590,366,884,904,
154,217,838,655,043,981,266,360,134,699,496,459,989,301,507,474,456,756,150,
754,119,745,968,871,773,078,379,236,909,960,718,834,312,160,914,459,845,925,
500,506,697,055,127,695,868,300,947,920,068,136,809,279,519,799,846,245,901,
670,025,320,610,458,629,402,092,657,346,594,559,739,496,407,507,450,943,396,
136,986,497,930,078,940,324,575,793,926,345,902,646,018,974,953,026,396,825,
041,741,227,575,847,120,977,793,688,222,962,557,204,469,835,559,134,299,914,
643,935,424,978,636,904,249,517,246,186,998,745,778,975,550,339,469,658,124,
815,119,864,914,009,618,954,174,720,478,245,192,387,114,182,145,522,670,610,
091,158,285,827,424,011,423,834,354,438,006,215,146,567,308,836,341,497,456,
760,845,452,777,881,379,456,099,361,048,716,410,247,999,004,087,898,695,114,
710,191,672,970,002,761,319,280,986,019,550,959,899,158,175,860,146,422,424,
136,740,352,282,996,299,479,693,540,911,753,257,533,009,230,443,056,247,535,
843,541,894,405,778,669,353,583,437,741,271,822,676,256,760,243,535,614,431,
472,624,890,990,454,843,129,203,051,508,159,323,194,146,707,037,753,425,351,
785,499,911,023,997,479,603,772,569,017,853,699,452,674,401,473,125,378,519,
052,288,176,538,609,340,230,085,106,756,076,759,128,932,697,684,433,341,041,
980,300,323,806,111,106,803,800,027,563,933,326,539,082,226,837,765,489,181,
231,704,306,433,823,675,258,678,283,070,990,560,996,866,695,698,654,892,661,
443,240,816,282,457,844,129,941,237,719,275,130,278,696,329,897,401,791,652,
404,583,563,858,647,401,513,337,767,345,896,246,953,673,869,725,372,682,984,
813,195,620,278,744,181,873,735,601,453,833,053,221,169,770,734,549,925,517,
056,655,644,289,708,324,705,581,705,028,099,397,674,792,157,120,210,632,370,
215,081,388,032,083,085,267,492,661,548,760,750,194,535,128,160,975,853,507,
629,664,664,367,677,563,863,737,006,428,088,268,592,356,951,021,358,081,611,
490,477,627,885,980,165,321,078,411,301,020,125,083,321,280,553,459,086,376,
357,534,590,395,215,235,409,996,099,224,346,783,368,518,909,578,386,096,331,
941,348,284,311,381,741,992,409,348,147,544,584,629,607,946,789,471,102,104,
867,479,632,085,278,490,081,957,547,914,038,841,289,851,070,697,982,200,921,
939,880,670,539,704,541,352,255,869,712,515,154,480,126,329,555,337,745,782,
218,193,249,862,210,294,743,663,468,926,306,245,473,643,361,504,648,665,937,
866,234,383,025,808,216,516,622,598,237,907,560,296,406,989,155,875,598,301,
018,487,422,679,535,798,711,970,381,742,513,566,088,283,688,187,098,319,330,
635,490,418,968,108,248,564,436,660,432,721,910,069,420,105,675,405,207,261,
629,309,865,260,733,147,786,681,796,610,857,909,245,080,657,673,365,771,878,
983,279,389,501,013,080,735,634,188,645,844,649,651,730,416,147,282,783,373,
931,203,282,803,472,520,519,289,630,308,590,092,101,969,442,682,360,255,789,
913,506,547,320,696,933,320,397,406,117,028,968,678,091,375,453,066,039,405,
145,810,166,155,620,117,618,067,458,525,028,655,596,053,596,186,370,294,889,
883,073,370,830,344,218,825,164,967,175,701,486,018,747,849,223,314,560,340,
896,797,684,917,669,764,196,969,321,728,281,328,665,704,212,831,215,879,507,
878,754,350,913,208,365,676,272,906,944,083,311,207,253,675,121,357,750,102,
908,044,451,188,012,623,769,435,066,038,935,124,038,654,898,653,685,295,990,
108,759,971,616,876,490,070,803,739,827,665,689,990,939,856,077,000,078,938,
595,666,429,737,656,366,129,396,286,736,163,273,752,111,052,296,731,019,322,
235,647,438,334,607,673,515,586,526,572,846,723,464,689,718,900,426,004,296,
263,415,391,756,714,616,383,750,226,641,607,543,512,109,524,337,663,535,146,
228,263,695,458,768,745,369,473,714,426,636,390,494,711,799,891,318,375,802,
707,039,105,143,154,895,030,646,329,481,831,481,446,750,870,428,832,125,002,
728,886,302,756,520,658,711,352,280,880,687,119,357,824,642,292,815,650,578,
539,331,727,608,874,901,474,795,103,432,131,772,491,574,261,456,743,137,480,
754,851,943,363,906,685,392,091,875,727,543,751,234,915,480,744,469,659,158,
233,204,519,496,055,245,639,648,419,523,005,399,523,031,890,569,101,177,211,
240,535,989,416,674,672,070,286,754,267,475,067,632,474,860,873,853,434,081,
184,943,185,132,416,036,059,307,559,445,616,756,318,845,668,556,873,696,002,
246,080,291,991,875,351,932,308,179,888,420,702,605,281,857,439,198,884,196,
737,154,735,834,856,114,443,330,214,157,974,310,918,032,799,535,867,468,461,
991,906,315,593,497,757,173,714,015,559,440,565,342,929,704,188,981,889,204,
571,329,392,636,138,380,363,615,914,358,002,062,984,947,900,902,289,454,905,
977,814,425,466,687,218,732,376,434,559,759,903,989,118,266,859,274,404,984,
536,651,787,296,586,772,520,043,225,374,643,113,997,585,916,857,789,240,660,
277,577,789,264,915,400,627,831,438,114,533,283,861,825,568,649,478,540,614,
077,004,558,444,590,979,145,387,102,117,709,208,527,649,028,056,941,448,881,
973,027,841,791,138,202,010,778,389,530,201,277,548,551,897,364,143,773,008,
612,794,027,152,579,281,882,821,305,897,370,392,977,686,700,011,842,794,391,
800,135,192,446,754,221,672,081,463,355,391,385,329,148,801,552,208,422,422,
198,413,865,540,486,882,000,797,498,459,284,461,952,085,102,888,203,285,592,
407,816,189,017,869,891,685,960,574,302,226,494,742,418,023,220,587,975,399,
543,370,543,001,794,737,592,645,389,070,842,054,886,391,221,122,058,208,007,
798,546,804,408,505,348,254,481,928,434,003,588,104,176,295,086,797,353,154,
270,400,756,708,177,753,257,465,064,641,762,259,060,047,353,376,265,446,723,
718,835,839,142,333,639,470,749,119,590,981,926,351,854,809,080,307,608,916,
489,474,164,226,250,813,392,310,219,740,336,299,699,253,102,602,562,583,177,
317,648,799,893,073,931,074,042,015,804,220,702,767,092,601,535,321,292,032,
771,944,709,785,409,597,247,309,105,374,978,727,912,376,770,090,082,934,107,
314,565,793,923,407,604,803,912,333,935,092,643,451,192,648,120,416,584,842,
743,087,948,578,942,707,650,207,405,632,967,944,781,360,594,831,264,413,886,
176,417,450,457,887,153,295,597,520,866,624,544,548,885,591,333,642,305,439,
890,872,690,982,126,899,327,278,226,287,976,253,878,886,706,775,459,343,036,
250,603,205,522,588,885,974,948,402,172,346,453,012,740,656,790,613,096,973,
887,965,639,332,471,558,449,039,627,120,651,003,009,122,056,023,261,299,901,
106,508,767,241,879,488,511,734,335,536,645,602,215,527,915,481,724,394,893,
220,408,429,290,490,025,836,684,412,097,181,953,616,102,039,432,918,426,142,
342,718,309,446,193,225,068,653,519,438,989,152,881,372,945,812,555,217,930,
260,402,440,263,071,916,793,776,803,725,900,696,703,808,267,851,353,013,924,
963,806,747,961,398,190,133,055,871,672,074,301,996,570,035,724,545,376,668,
269,574,050,432,046,131,096,949,239,969,300,146,879,619,531,709,436,678,284,
801,726,625,633,928,416,661,515,594,744,785,204,409,852,241,878,925,512,803,
873,380,269,811,865,613,266,363,883,607,547,266,100,753,180,904,084,880,368,
175,803,646,831,155,386,023,145,343,915,706,355,128,147,563,133,910,961,073,
109,030,074,124,551,193,180,406,585,616,249,809,384,742,147,508,979,022,077,
372,010,469,671,783,306,902,508,053,197,297,724,652,408,161,253,805,971,823,
176,460,022,953,918,781,071,211,009,842,740,646,156,744,930,028,442,653,012,
231,763,213,088,543,873,656,534,093,544,251,297,386,330,153,360,186,883,917,
908,952,717,390,416,504,915,964,985,627,567,009,656,393,386,794,144,850,818,
132,137,485,979,291,325,937,748,019,944,255,331,382,428,683,258,110,113,041,
026,408,130,717,023,057,404,106,959,923,173,574,054,758,673,859,120,689,951,
631,779,611,999,106,025,111,129,139,257,142,829,802,531,512,735,801,544,967,
518,383,298,462,744,752,806,155,378,787,909,390,954,404,280,524,595,266,244,
250,846,539,953,778,541,016,781,696,475,125,054,420,190,886,378,153,731,925,
401,890,535,113,005,390,690,260,499,651,826,501,152,675,191,117,893,074,079,
369,452,652,968,421,040,825,964,342,792,953,048,352,976,255,309,216,138,853,
571,791,024,379,382,085,752,212,785,644,237,152,805,140,489,531,393,094,611,
872,652,797,932,376,679,857,992,212,829,766,725,350,631,123,048,875,325,286,
845,731,314,824,092,323,845,588,617,752,217,515,955,992,004,119,728,794,325,
499,536,265,065,288,016,175,092,068,710,271,212,067,115,809,506,247,703,292,
932,088,347,279,638,381,021,638,683,930,698,840,918,935,800,354,086,497,335,
898,384,256,452,401,829,997,562,531,146,467,775,204,412,067,618,302,094,801,
948,138,299,316,747,841,845,165,376,991,151,627,685,981,939,957,740,258,540,
662,804,089,489,346,683,254,676,569,647,182,597,796,106,408,727,164,419,961,
401,583,967,346,609,921,931,483,119,457,998,472,320,933,990,902,451,610,916,
147,588,450,315,501,846,961,888,557,581,492,508,108,975,279,198,575,268,860,
463,370,598,143,925,616,259,664,335,792,012,873,788,620,157,641,545,679,505,
095,115,137,580,884,062,643,206,280,482,494,442,603,592,845,947,396,766,267,
464,880,027,227,362,254,339,408,092,466,370,052,679,589,818,067,347,020,988,
794,367,675,516,768,017,196,111,473,321,960,757,517,682,127,022,345,329,879,
088,155,712,504,673,698,229,078,712,459,304,728,743,670,739,750,177,118,168,
522,004,476,728,836,182,838,134,039,407,634,389,005,438,244,278,996,388,023,
381,152,336,944,803,777,837,999,073,693,608,190,551,661,012,775,681,768,280,
275,252,992,149,570,296,628,585,045,446,571,036,013,389,346,599,724,221,732,
708,578,149,356,879,842,351,502,295,923,554,214,095,868,976,695,587,017,888,
671,186,552,730,463,714,037,921,904,103,542,988,333,237,238,630,699,951,319,
280,383,583,088,972,391,772,967,567,983,271,982,763,210,273,772,921,105,117,
513,234,956,169,080,830,407,426,560,693,438,846,792,346,999,251,160,560,937,
625,081,355,545,388,892,865,284,712,798,305,524,848,226,824,853,814,593,709,
794,377,052,330,904,549,988,251,000,709,665,556,665,407,981,093,476,685,713,
602,948,507,560,420,713,494,953,363,203,371,703,589,667,317,232,719,707,979,
265,345,652,257,465,608,258,179,164,172,476,865,692,997,554,106,854,241,666,
921,651,388,753,478,195,366,603,307,704,284,674,762,924,596,613,269,308,900,
908,518,570,180,626,444,345,820,026,817,087,954,284,671,359,532,883,027,761,
567,384,776,588,933,479,564,091,385,666,235,110,361,174,229,269,190,899,150,
452,642,311,616,647,055,525,890,947,925,111,233,795,700,103,341,210,162,994,
907,207,856,485,634,770,982,457,761,533,596,497,066,245,410,161,985,620,398,
096,505,724,688,485,201,637,421,056,169,633,494,773,133,526,045,104,492,903,
355,097,404,692,165,367,165,766,639,438,321,124,604,459,485,768,691,933,843,
681,851,278,922,608,585,187,418,485,963,858,107,795,205,691,866,203,478,230,
513,807,945,734,759,612,849,814,502,138,076,097,925,494,916,543,138,579,096,
085,379,763,695,770,583,705,900,109,661,226,494,374,521,085,546,061,179,514,
460,504,715,146,984,830,681,029,348,896,612,505,429,819,486,789,509,536,129,
634,603,984,326,367,673,839,219,242,284,226,228,428,724,924,030,365,896,298,
801,723,618,928,643,873,574,980,122,854,378,380,252,539,389,355,359,400,628,
645,293,536,705,023,697,488,600,288,976,033,972,496,690,559,977,081,358,033,
735,152,857,247,184,886,672,917,180,368,355,872,135,174,590,101,528,884,581,
317,107,262,274,712,598,653,224,348,897,327,709,224,612,665,939,222,629,623,
541,273,244,665,174,275,494,641,588,775,923,680,452,326,160,183,668,432,023,
412,016,297,683,326,415,588,033,458,807,990,063,934,876,111,123,766,209,194,
942,493,182,654,117,484,305,030,302,897,245,848,581,883,169,363,071,353,469,
339,904,444,789,607,843,597,268,558,590,396,305,589,799,445,327,835,771,581,
317,084,001,952,712,451,921,998,981,956,699,353,232,863,387,578,621,735,506,
760,961,097,636,260,877,519,193,445,652,776,999,654,106,831,979,236,634,846,
259,501,180,785,253,992,820,847,419,921,712,578,559,235,067,312,116,636,780,
969,126,807,734,501,908,371,596,232,581,931,271,243,212,592,377,349,651,317,
029,780,166,513,447,340,880,757,344,710,879,977,890,052,361,657,958,616,208,
527,399,280,929,651,798,649,518,724,770,046,729,013,740,591,154,502,854,155,
617,051,532,191,287,887,199,196,790,738,010,077,805,626,944,959,110,324,402,
160,336,083,215,201,239,646,839,856,824,831,850,123,277,647,725,219,678,662,
677,141,467,148,625,970,669,979,869,295,217,388,503,115,093,643,031,213,129,
591,969,304,747,476,266,195,667,977,979,018,038,300,032,435,555,979,963,643,
465,169,396,307,217,473,130,997,280,685,628,879,991,923,703,192,607,247,820,
811,263,011,044,882,285,212,761,285,698,558,130,643,137,601,887,009,142,620,
765,092,861,603,923,611,775,880,816,843,843,060,151,094,377,684,953,408,600,
758,876,116,169,196,008,672,880,252,965,302,129,717,753,715,439,083,200,990,
794,363,401,374,758,871,583,025,244,482,257,730,821,732,163,963,302,671,377,
469,308,136,062,290,566,723,763,563,725,433,072,531,535,949,802,474,656,640,
492,071,654,271,224,406,139,423,989,378,810,816,274,639,716,868,226,658,340,
269,354,805,444,319,239,619,303,554,466,390,158,161,910,229,281,690,258,496,
138,972,448,046,759,287,246,254,042,404,996,874,280,792,713,707,600,800,894,
272,069,638,462,214,416,653,561,523,319,977,282,800,510,057,000,706,614,800,
736,851,503,915,422,081,881,975,080,300,803,763,472,328,918,275,527,689,316,
786,148,939,677,953,976,933,555,965,223,092,364,419,085,249,175,920,354,218,
275,902,597,647,661,422,681,787,699,663,726,819,776,995,328,618,682,931,221,
321,344,428,267,738,682,768,727,496,286,625,367,507,001,093,827,168,076,032,
718,119,530,869,885,265,072,968,325,720,436,270,704,695,395,253,526,867,726,
960,576,582,941,789,618,947,724,703,330,616,768,109,155,721,330,260,749,450,
170,879,444,914,827,856,106,747,029,166,406,789,017,951,647,988,857,984,917,
280,930,052,283,550,918,454,236,416,929,929,014,796,407,425,333,915,123,069,
266,793,050,608,736,641,672,815,035,962,821,249,593,675,357,625,386,373,746,
981,980,116,628,983,030,203,408,482,999,886,519,539,957,330,756,190,302,831,
838,945,465,084,436,696,182,753,319,453,006,964,445,479,955,733,152,574,771,
194,482,894,320,786,262,302,147,600,637,220,095,706,430,094,210,109,257,416,
775,432,810,627,553,629,674,327,626,991,833,637,582,467,101,665,100,769,522,
018,019,010,809,326,191,612,866,514,538,775,675,893,986,868,217,669,695,654,
792,219,291,741,586,863,254,475,879,149,755,352,666,377,760,424,157,034,055,
679,684,365,170,588,966,231,982,706,707,255,625,802,571,141,831,849,229,806,
668,137,107,351,936,032,091,249,213,878,409,553,707,917,294,437,919,663,582,
833,721,365,970,127,682,458,957,621,938,691,815,925,337,477,918,542,030,948,
888,055,413,042,504,115,740,042,203,781,365,337,050,839,815,730,054,368,684,
139,014,526,449,494,346,324,880,074,514,495,574,289,360,844,531,334,930,896,
611,596,522,536,434,604,299,806,735,259,183,259,959,682,210,136,410,489,919,
189,217,269,731,394,119,226,532,517,526,742,270,098,930,330,739,602,940,100,
024,025,682,602,545,935,363,330,344,764,985,182,779,224,185,628,509,568,665,
957,351,980,284,400,976,860,462,311,919,075,541,916,552,012,924,305,341,857,
123,657,457,179,121,440,529,476,789,662,930,673,311,899,451,624,820,731,887,
923,142,989,199,687,741,037,859,946,984,342,875,102,967,826,646,008,601,292,
143,359,199,296,496,160,510,987,540,547,248,774,621,587,727,959,585,197,971,
257,439,475,263,139,709,802,696,472,435,932,639,039,439,395,897,380,817,077,
179,057,128,820,227,780,339,986,992,949,150,540,645,437,432,942,575,662,721,
471,838,633,235,812,948,305,835,393,047,352,626,478,921,244,766,953,896,653,
257,424,949,931,526,702,781,140,104,011,166,186,415,003,301,730,340,692,997,
100,087,961,531,334,525,737,101,085,103,878,320,196,218,553,443,616,903,653,
946,888,208,976,350,763,658,871,240,961,192,010,930,452,532,445,138,922,562,
352,475,116,545,477,429,583,212,044,637,366,307,784,431,776,192,575,984,391,
027,887,899,886,360,783,266,744,752,332,729,100,662,554,605,785,210,103,031,
179,361,266,657,240,439,717,013,585,993,831,071,151,381,363,150,366,155,193,
706,499,655,967,430,610,935,548,654,095,711,470,444,761,382,309,731,399,341,
328,799,974,029,812,916,633,429,441,642,404,408,608,199,859,007,908,024,010,
079,302,788,885,810,924,513,280,950,247,112,768,785,850,885,652,509,875,561,
445,589,269,692,508,806,407,240,376,493,589,929,581,613,127,825,758,246,281,
195,620,621,413,149,686,761,051,342,698,626,615,702,008,711,133,720,831,564,
673,225,412,770,242,560,080,282,426,420,658,630,405,918,965,589,464,216,969,
883,016,307,290,942,966,580,639,448,776,445,179,387,156,425,026,863,718,568,
873,699,119,174,698,286,960,026,019,456,910,734,028,257,327,580,274,672,394,
272,710,817,467,237,114,089,847,961,975,177,555,277,085,256,760,671,980,772,
953,867,475,615,719,861,425,820,620,135,163,383,621,981,952,588,981,356,235,
260,409,037,900,853,598,506,566,999,695,037,649,789,255,408,650,477,700,505,
998,721,872,237,550,651,055,642,319,114,784,055,857,100,080,812,315,302,498,
763,847,304,960,740,628,199,404,237,651,932,429,349,501,987,846,130,051,691,
597,313,229,283,760,449,998,771,772,393,056,325,739,588,983,553,473,767,440,
221,219,485,944,395,419,816,553,039,669,938,573,117,910,541,000,919,684,826,
771,668,273,171,700,924,570,489,378,862,451,022,543,887,788,630,371,819,545,
954,026,967,040,776,802,758,919,902,773,246,585,641,349,260,496,339,922,646,
018,510,509,683,732,411,848,020,714,442,974,383,450,917,684,557,154,025,088,
020,193,166,163,559,371,005,970,399,947,762,403,752,769,734,336,604,599,043,
906,936,429,965,939,441,605,490,046,892,238,614,665,617,405,565,736,757,867,
623,339,032,479,901,026,314,882,339,462,309,324,122,095,452,903,535,719,849,
138,012,288,573,306,937,525,883,356,069,545,756,382,781,681,057,192,391,863,
480,478,299,191,123,583,035,617,990,052,731,160,295,728,294,880,252,859,168,
628,321,301,707,137,901,360,175,512,024,048,592,688,274,496,434,008,330,294,
229,661,944,829,143,096,971,116,634,448,936,697,828,325,463,035,690,054,778,
596,698,012,221,561,940,356,765,059,287,521,275,435,387,821,386,558,984,801,
781,861,509,410,477,632,754,353,007,345,703,864,403,290,471,922,047,655,762,
235,686,498,640,229,289,343,843,681,037,888,625,270,232,060,548,181,127,591,
157,242,522,955,690,035,780,992,064,221,297,256,464,068,571,624,359,116,731,
455,031,893,908,718,198,789,508,663,615,676,601,611,675,174,303,570,934,566,
019,855,021,706,992,417,400,957,914,795,986,706,424,296,269,000,083,939,600,
158,398,877,945,303,668,321,798,674,319,091,686,311,429,656,020,516,127,800,
202,580,110,053,739,382,909,246,081,610,932,019,451,774,204,221,878,626,788,
486,159,721,331,633,306,066,593,722,029,519,129,789,953,654,289,538,316,730,
835,858,331,475,296,502,929,546,222,379,599,615,082,415,088,099,507,368,036,
633,746,772,349,234,377,697,998,531,524,937,696,159,998,015,774,161,313,028,
330,492,494,555,296,530,324,211,255,844,980,058,849,434,234,132,741,648,700,
995,910,837,928,908,731,995,683,326,417,838,701,472,181,849,198,114,957,753,
648,815,797,338,339,176,939,323,888,738,926,075,773,431,731,312,835,744,272,
680,069,320,181,618,759,397,407,497,327,898,576,341,875,373,485,337,667,617,
664,085,400,264,795,393,941,760,039,261,008,038,368,458,177,336,336,083,743,
810,764,962,883,578,121,652,281,260,279,964,231,015,649,359,841,310,389,045,
213,904,292,234,864,469,271,002,337,914,069,331,525,081,985,961,209,268,747,
365,847,253,168,051,748,183,110,805,056,272,458,628,434,860,490,157,243,639,
512,740,083,278,015,149,105,362,414,994,217,850,726,064,918,307,729,274,751,
182,450,385,324,526,547,886,821,352,627,360,237,500,705,808,848,615,392,368,
590,214,102,343,061,025,795,611,066,611,055,309,232,171,456,842,825,546,674,
303,550,706,687,738,363,264,420,644,618,727,316,127,671,996,750,003,366,557,
852,032,113,555,689,491,593,823,896,011,037,092,539,508,847,185,063,893,290,
692,746,359,514,206,564,331,698,708,866,422,580,006,818,661,002,979,672,088,
341,952,325,508,241,404,463,293,750,566,048,881,218,040,722,844,743,302,109,
007,971,022,444,524,178,208,038,852,838,361,422,142,435,611,438,727,324,491,
484,995,824,985,194,436,073,538,368,124,257,956,263,191,845,082,544,007,355,
625,691,035,376,622,451,297,854,178,009,444,696,277,914,989,141,879,198,704,
165,296,217,664,529,185,564,733,560,206,637,296,908,874,884,838,642,349,512,
295,438,926,233,437,607,412,446,439,383,311,399,323,982,063,446,858,826,371,
271,546,920,090,410,907,674,341,015,306,270,175,140,876,098,575,882,736,963,
057,902,149,488,184,815,713,921,655,919,663,965,551,702,787,622,192,470,197,
156,284,827,624,892,619,199,504,047,670,275,765,645,579,877,103,481,415,818,
364,478,927,196,860,146,591,587,388,270,258,140,424,711,655,324,592,180,439,
638,829,647,604,981,032,492,781,130,936,944,631,695,067,619,167,502,640,839,
248,614,629,061,293,220,708,720,053,548,804,601,188,015,956,836,957,887,470,
874,612,121,990,794,656,126,831,100,857,414,274,904,920,599,003,650,577,594,
934,180,597,598,092,345,261,415,119,487,548,653,981,841,471,286,815,039,974,
824,840,125,679,564,030,131,639,851,390,083,271,364,623,436,837,102,736,518,
287,491,190,104,873,910,421,122,751,004,822,387,530,802,337,325,505,459,467,
965,437,169,492,970,735,865,386,291,750,208,020,972,210,536,702,348,363,075,
108,160,395,433,104,576,412,379,345,270,995,678,771,775,022,714,389,278,255,
494,772,031,204,397,120,501,388,805,964,824,437,212,819,398,626,386,628,485,
449,077,591,651,642,489,351,639,869,930,062,659,248,508,149,139,216,563,071,
025,901,495,157,870,127,886,910,984,774,037,060,011,121,591,369,844,853,137,
941,388,888,522,019,845,205,977,471,632,603,702,491,624,718,187,460,619,180,
040,086,383,188,015,965,965,739,054,085,659,292,884,383,671,298,721,199,301,
011,701,791,107,888,552,487,883,925,865,453,325,200,272,524,311,633,039,708,
737,561,519,981,009,375,845,921,056,165,287,172,563,382,029,782,544,201,524,
927,532,568,718,763,237,086,236,985,929,020,782,593,953,263,308,638,828,762,
521,203,745,456,698,121,543,077,213,688,170,704,545,898,581,130,428,682,704,
808,297,029,289,838,473,713,887,824,381,071,811,472,670,748,930,749,587,095,
641,224,748,316,519,360,294,534,446,610,326,778,214,134,717,810,215,219,312,
498,338,961,031,095,553,447,338,052,748,506,737,079,803,252,694,669,168,828,
226,657,937,058,121,934,153,785,399,900,563,164,526,852,942,779,128,748,836,
066,249,289,030,557,754,451,586,059,115,362,106,259,950,807,005,636,846,287,
578,630,958,876,375,797,490,100,412,013,298,078,274,589,576,608,565,231,108,
551,530,901,114,353,076,237,912,640,779,801,978,863,931,838,840,245,745,029,
897,694,719,925,957,385,182,909,170,133,997,647,312,410,764,262,991,515,325,
939,082,485,022,094,377,627,914,291,053,518,452,857,118,933,324,780,258,917,
779,842,102,406,401,337,389,365,202,645,935,243,689,010,697,078,457,681,767,
930,812,578,392,682,742,045,692,284,594,399,000,114,625,615,462,636,125,573,
945,801,249,674,141,976,321,745,579,010,584,310,659,583,168,364,879,824,398,
756,759,966,597,508,177,138,648,244,165,695,843,680,637,833,518,636,654,565,
285,171,620,586,295,368,277,842,929,957,561,493,343,954,927,156,912,388,443,
211,591,099,155,209,412,322,688,659,032,022,314,482,438,042,905,109,829,502,
655,834,318,143,797,689,186,546,035,209,461,047,356,639,302,606,595,616,446,
154,125,345,436,839,854,489,590,316,040,898,768,702,661,337,102,203,167,914,
015,652,979,254,634,930,455,855,655,345,513,241,223,572,780,916,961,519,578,
480,214,843,608,763,081,172,389,076,939,921,812,729,124,144,864,707,870,399,
591,030,302,653,189,510,784,847,494,777,643,536,661,702,267,713,324,047,929,
949,950,219,291,931,701,282,065,400,872,785,254,177,269,819,172,512,592,972,
434,185,202,315,618,287,784,714,169,484,375,970,974,137,402,425,610,168,308,
594,418,308,368,463,870,621,116,048,037,970,893,181,224,872,934,128,347,508,
955,685,181,977,235,109,479,139,267,391,320,410,695,595,148,258,057,296,626,
148,928,596,288,327,432,628,300,815,828,477,720,714,421,828,886,512,920,013,
491,365,413,034,475,834,963,303,742,052,532,813,322,262,385,731,603,631,262,
034,933,669,016,502,487,450,329,415,928,284,147,407,440,991,937,044,881,864,
776,945,700,945,398,372,965,732,238,609,133,081,922,982,246,503,134,339,127,
649,534,331,715,902,462,489,628,060,943,466,452,480,206,536,549,710,779,875,
657,953,894,280,116,543,474,096,949,598,206,180,169,382,578,943,620,701,272,
287,012,629,655,268,640,820,629,917,660,449,696,896,646,175,801,426,332,899,
105,636,893,446,762,575,854,903,697,564,548,648,230,460,634,862,079,146,973,
749,352,731,688,425,531,390,319,518,504,975,737,397,696,239,862,014,746,305,
751,356,469,274,716,980,531,625,225,252,960,582,324,137,026,636,271,198,123,
731,202,719,458,869,890,365,845,253,489,707,123,922,314,258,589,112,429,924,
520,863,205,890,485,723,692,451,565,719,845,127,991,889,653,122,620,574,094,
639,407,320,657,268,168,642,866,734,878,923,670,345,467,184,041,307,821,525,
390,755,987,744,093,867,221,717,803,988,134,735,068,932,023,802,120,580,475,
076,850,882,006,896,412,108,110,357,046,852,924,017,193,485,680,191,858,356,
164,606,214,004,693,588,169,927,922,148,491,488,225,326,575,326,858,392,285,
795,708,635,809,932,393,862,718,708,510,869,380,932,302,245,703,557,947,354,
402,392,986,585,462,919,093,100,132,857,410,034,004,891,929,446,631,675,667,
450,966,784,878,576,444,158,172,550,189,499,844,652,639,650,344,355,973,421,
800,523,574,944,516,015,250,436,736,946,802,324,634,203,703,319,081,599,614,
935,262,369,073,383,748,418,827,427,678,812,191,762,453,804,422,936,665,940,
254,257,031,187,660,333,343,244,153,943,079,266,860,487,583,703,369,477,278,
293,302,200,458,132,447,818,895,158,493,666,774,645,297,673,126,754,485,166,
118,866,960,422,197,969,666,527,877,157,459,761,435,138,876,607,195,853,264,
849,644,274,658,960,386,160,455,245,393,267,614,575,808,600,669,024,728,471,
545,922,520,061,241,275,498,636,767,170,771,907,762,369,139,907,127,924,971,
187,500,859,270,508,418,807,293,841,405,771,606,460,525,795,080,052,872,062,
990,462,698,466,617,849,954,941,940,097,711,712,872,439,226,233,741,593,300,
047,479,145,333,081,374,402,072,450,459,598,309,398,560,137,179,288,019,028,
604,427,461,821,428,818,182,986,592,380,791,528,152,370,555,519,266,823,570,
515,672,701,889,913,611,760,683,194,382,773,230,371,657,438,139,072,744,796,
391,672,396,469,389,314,841,268,244,673,860,258,279,956,114,232,529,611,802,
333,530,517,408,765,409,628,796,717,371,427,483,144,178,085,042,304,973,971,
934,080,699,610,113,073,871,464,870,662,932,362,823,544,051,575,948,789,482,
542,694,965,588,308,827,776,017,991,896,671,855,974,073,220,556,855,408,381,
588,516,707,990,453,736,629,674,080,585,037,553,635,498,079,805,967,055,452,
988,591,643,526,865,725,979,577,837,302,500,822,767,882,518,773,981,022,580,
553,300,835,411,790,265,863,429,897,612,711,944,994,636,752,364,952,755,085,
025,009,817,941,254,197,322,831,953,391,850,016,060,115,346,508,739,853,412,
192,652,011,683,908,153,912,095,412,469,357,407,377,542,368,953,908,642,656,
608,512,931,975,126,629,424,148,587,027,483,973,847,778,760,812,531,278,711,
965,297,774,846,275,410,292,427,347,852,531,266,451,959,085,625,525,601,593,
782,799,183,490,949,368,720,221,193,507,564,858,113,426,351,425,753,873,569,
293,546,705,310,912,504,024,370,834,221,992,171,803,629,462,275,627,048,620,
525,749,688,682,496,351,614,183,159,946,866,034,017,102,308,829,409,101,273,
911,150,256,044,404,613,838,243,871,680,045,652,847,626,832,329,887,363,417,
960,048,502,909,135,922,473,285,899,211,294,304,338,450,614,399,003,309,360,
349,409,725,751,699,019,609,996,163,607,076,847,496,514,035,141,835,960,551,
188,784,240,357,244,445,761,004,040,190,512,001,345,760,069,121,187,622,129,
364,826,116,472,816,448,828,994,754,650,330,655,550,111,103,161,350,003,821,
263,581,258,795,493,147,272,984,703,452,677,491,511,395,042,411,196,216,091,
404,253,238,780,655,187,259,637,073,104,569,053,678,358,616,109,654,333,168,
834,213,891,747,863,232,629,197,770,842,770,147,683,537,047,357,743,318,485,
779,268,887,131,345,293,300,393,862,111,622,426,112,418,235,241,736,654,350,
705,090,529,258,388,509,540,580,201,299,559,743,744,537,326,800,684,292,201,
456,320,884,566,017,419,889,698,385,865,997,240,736,463,649,565,218,206,701,
210,774,690,207,221,240,012,977,268,027,265,308,500,414,430,349,966,602,160,
783,104,485,257,881,374,719,505,741,152,842,731,846,097,131,215,606,291,724,
695,927,391,027,031,183,501,516,539,833,570,728,051,933,187,140,783,979,996,
283,771,728,360,420,114,251,250,399,024,328,266,149,482,449,992,764,884,753,
131,798,655,266,829,575,197,599,236,635,507,905,321,917,312,360,178,567,018,
715,815,358,116,644,823,119,905,398,676,253,015,867,191,705,706,762,779,484,
239,244,030,799,364,457,059,597,602,882,759,364,202,199,135,941,478,810,584,
079,222,450,802,125,604,220,319,533,796,547,801,857,085,341,889,433,417,056,
157,581,295,835,977,111,371,047,412,476,945,119,940,767,713,752,093,782,533,
943,222,403,357,682,898,060,055,237,267,429,426,387,407,577,973,199,147,355,
298,392,194,798,160,000,476,266,430,239,241,848,459,227,024,366,176,578,971,
087,916,722,052,758,423,147,111,365,356,834,503,215,829,379,338,406,534,568,
634,917,830,760,045,092,785,870,438,884,795,001,259,757,907,900,219,728,061,
394,274,738,969,012,037,509,150,411,101,593,247,160,241,483,191,754,727,636,
390,734,694,523,170,542,508,387,333,797,817,311,161,396,997,515,072,668,080,
810,282,300,451,796,788,279,154,837,603,084,548,538,535,778,715,595,043,970,
947,896,928,268,569,775,759,634,149,971,402,372,804,940,771,552,787,409,714,
192,783,841,239,547,763,867,344,490,397,144,610,813,355,253,828,919,407,141,
830,722,894,226,480,623,394,327,314,096,610,346,084,766,460,914,837,637,581,
058,625,932,309,855,343,766,580,589,889,726,701,583,025,229,179,831,646,433,
597,070,805,707,024,710,591,063,570,053,856,375,675,039,712,712,137,317,587,
048,400,853,473,043,119,052,056,885,710,928,006,762,054,449,551,329,004,554,
794,012,386,428,048,219,142,382,441,453,559,383,450,067,663,347,793,427,506,
886,896,817,997,393,085,630,412,450,974,077,277,415,923,558,141,735,439,614,
123,495,725,367,057,361,294,488,046,959,899,611,994,686,994,106,125,674,370,
440,143,352,762,317,153,651,388,066,780,076,617,286,433,590,398,666,027,328,
712,742,790,223,071,931,548,748,343,585,513,275,762,698,878,530,097,454,434,
769,503,299,079,476,214,100,705,293,305,353,491,995,280,406,643,701,825,463,
514,188,006,145,655,907,001,101,867,414,581,350,245,643,377,465,807,336,659,
077,729,418,739,093,439,292,069,075,088,519,535,747,112,955,616,871,344,991,
849,421,133,734,775,378,207,948,297,364,661,162,925,196,027,543,290,937,585,
721,145,956,845,359,293,169,170,444,607,700,264,963,079,868,593,933,876,248,
435,673,396,894,722,378,778,186,112,847,100,405,534,068,214,803,246,262,144,
502,935,928,369,488,700,448,296,039,926,511,155,291,025,046,555,737,511,904,
018,574,213,196,562,556,683,681,752,894,408,750,188,993,761,408,054,565,137,
791,931,594,213,686,667,576,689,753,876,596,013,099,598,577,633,880,663,205,
628,011,740,034,471,409,107,187,399,464,820,705,521,048,027,714,978,031,075,
572,237,070,202,136,884,996,062,779,577,081,992,388,664,444,581,934,744,270,
400,234,935,195,392,575,586,758,376,880,766,948,015,296,189,921,530,882,953,
389,543,814,188,585,411,064,572,559,548,055,874,676,804,429,164,073,513,470,
399,074,227,114,005,413,022,694,228,351,572,604,977,776,491,643,514,064,956,
328,791,311,617,090,730,603,622,139,088,768,407,873,196,084,837,679,191,763,
676,559,677,319,868,592,796,412,293,055,547,509,181,898,469,795,542,562,796,
415,071,360,426,614,418,276,923,790,226,918,866,968,389,976,230,569,882,610,
674,126,834,866,392,337,939,618,994,340,283,817,363,191,865,046,044,708,225,
390,026,086,097,983,870,241,442,162,891,138,305,112,902,398,693,713,788,774,
000,725,866,837,067,688,849,244,599,890,007,008,581,248,672,041,272,841,601,
151,845,561,709,210,984,946,309,883,923,764,644,003,534,497,923,660,274,301,
588,919,811,511,426,817,313,889,551,389,725,940,246,607,560,900,354,679,119,
971,973,893,641,287,271,687,221,409,467,283,647,283,019,616,390,410,051,281,
999,256,273,100,179,873,612,246,926,344,695,444,759,036,765,647,495,603,438,
692,290,348,579,405,746,721,239,565,940,403,857,966,891,679,299,865,440,531,
876,299,156,957,168,242,569,538,532,175,978,464,048,411,617,192,531,118,031,
643,598,137,396,025,022,957,694,782,129,733,883,070,172,376,835,101,696,180,
387,152,889,678,116,823,385,723,448,854,879,297,118,790,769,024,834,476,803,
151,705,592,561,891,722,643,068,852,842,403,775,513,839,795,016,073,623,068,
692,894,085,996,694,187,778,942,123,724,212,097,791,376,802,080,429,196,368,
027,150,484,099,431,674,296,575,574,319,441,259,314,761,912,413,180,848,012,
889,248,530,348,792,356,087,859,348,052,821,366,285,765,069,498,440,689,779,
484,124,188,757,468,198,483,225,277,119,855,655,270,650,486,834,924,005,067,
326,839,478,941,270,968,672,721,181,535,741,306,457,624,321,188,108,033,073,
501,903,345,511,102,594,307,344,249,643,508,486,449,890,158,283,357,743,628,
354,998,788,191,211,096,119,889,824,747,430,884,799,267,832,543,613,358,664,
524,248,816,621,294,582,424,811,772,583,081,620,933,473,631,085,684,953,904,
630,792,184,507,379,102,519,909,230,803,537,209,080,454,336,728,891,109,470,
301,381,457,620,971,398,305,723,394,028,650,861,057,860,673,533,637,374,161,
496,495,825,020,776,127,127,872,886,936,446,989,099,231,720,907,463,627,619,
961,980,092,475,089,069,884,382,053,966,395,710,612,957,088,108,879,606,591,
523,570,002,826,976,218,723,367,298,716,272,152,658,763,998,211,864,633,579,
247,929,133,038,799,746,746,782,768,804,626,784,869,709,778,442,891,509,269,
105,231,522,954,467,134,128,607,718,960,909,329,769,608,181,147,814,180,975,
766,443,043,515,778,827,189,992,830,775,411,139,047,316,041,727,467,175,443,
070,273,328,044,113,944,087,189,126,053,879,444,724,875,438,734,961,795,242,
035,492,102,841,748,101,837,095,574,605,764,638,396,725,058,814,953,317,856,
322,719,186,120,395,980,341,009,243,699,262,439,309,000,227,963,838,094,998,
776,878,917,917,794,967,924,402,419,845,909,731,619,433,748,203,061,442,900,
586,957,171,531,429,803,533,451,891,661,345,626,841,042,708,935,392,731,607,
565,138,575,162,956,426,265,515,594,245,086,128,139,252,662,670,009,006,901,
468,334,847,194,945,640,248,020,134,986,741,002,066,703,989,498,136,920,312,
045,132,259,265,823,102,197,422,730,986,413,446,063,645,744,440,942,424,278,
191,958,413,610,084,640,902,468,647,332,253,244,594,526,600,108,852,621,001,
713,784,511,812,379,281,844,306,625,984,670,984,651,823,899,721,863,785,090,
000,937,715,872,553,736,493,150,368,771,532,797,801,042,658,811,337,063,348,
184,696,971,157,334,295,819,411,463,011,737,507,500,173,890,044,256,041,697,
115,964,609,170,132,208,324,496,819,927,000,694,553,759,619,724,744,844,495,
386,635,960,599,880,826,742,808,193,903,594,039,885,240,623,275,494,788,401,
246,185,904,850,214,563,516,116,095,900,078,462,045,861,354,360,161,794,327,
255,898,526,013,660,350,050,228,259,173,995,386,453,106,672,742,235,997,379,
295,554,203,403,816,811,527,438,806,196,789,047,664,328,870,218,516,587,498,
247,727,987,585,748,390,601,163,431,608,413,830,072,964,507,327,151,522,822,
036,333,599,727,897,288,497,393,419,669,676,680,785,193,123,989,828,551,838,
867,211,891,651,751,157,888,895,738,253,462,073,751,192,462,384,754,842,771,
081,885,244,569,023,871,893,537,433,453,588,351,859,273,037,137,814,379,537,
069,593,940,906,760,347,048,315,972,354,004,792,526,285,576,795,724,002,909,
516,099,338,274,803,110,589,753,230,682,778,315,420,235,470,958,859,749,075,
029,669,865,390,895,964,693,793,546,944,537,370,054,659,269,302,274,163,144,
110,205,871,777,183,644,256,182,214,354,156,665,530,788,746,134,206,022,876,
755,143,912,244,582,857,732,741,993,036,290,605,712,790,538,368,210,106,775,
264,590,341,779,878,311,719,376,276,816,870,908,206,815,817,496,609,223,738,
954,172,887,058,334,932,739,456,366,341,296,045,374,325,783,139,173,410,041,
077,445,739,680,658,944,468,719,729,040,344,475,387,454,257,408,850,151,662,
564,097,463,283,242,589,269,830,050,975,665,661,231,207,597,952,207,058,800,
613,670,808,796,452,440,381,622,871,093,942,157,025,327,701,195,357,269,971,
500,323,188,023,037,282,513,292,709,584,816,190,412,492,979,348,883,538,487,
712,797,130,741,174,973,754,962,917,550,948,927,677,077,736,330,860,011,398,
371,432,063,920,737,937,524,941,229,799,710,783,999,583,472,723,962,472,095,
110,133,157,393,392,289,792,038,388,391,537,891,789,412,572,417,996,680,240,
504,257,246,308,174,649,503,202,245,449,828,427,737,152,660,307,598,962,336,
250,775,416,776,574,306,498,780,537,751,608,673,483,570,256,855,023,499,624,
568,535,509,289,110,565,527,750,395,118,007,477,438,855,356,463,366,682,337,
213,482,249,273,211,665,249,326,772,590,418,474,553,409,742,808,184,735,044,
536,981,969,222,523,403,090,573,895,276,720,160,618,495,267,311,874,246,536,
861,867,209,406,900,136,479,062,400,053,485,854,172,360,496,421,495,562,646,
104,709,243,218,423,286,092,285,921,176,978,782,130,828,600,602,966,154,462,
325,085,439,890,303,870,526,949,870,924,886,626,167,894,020,110,453,939,150,
323,057,881,081,854,237,338,980,889,294,608,592,669,144,480,519,787,983,380,
462,364,215,106,734,577,052,730,994,994,895,244,398,268,714,766,169,045,686,
800,616,469,016,706,533,915,519,142,208,294,898,998,146,790,182,117,553,712,
702,337,146,978,040,366,521,959,691,947,837,912,630,252,419,535,406,017,421,
468,061,879,259,681,043,303,117,810,562,990,182,580,186,501,672,304,017,740,
787,680,103,072,316,387,420,526,311,287,210,185,604,740,586,929,640,138,325,
313,310,086,917,890,048,151,823,071,423,066,447,598,370,607,353,111,672,759,
422,486,362,476,558,820,334,120,144,456,863,260,320,355,969,047,215,336,516,
961,185,898,053,266,630,475,791,348,732,268,001,958,948,689,948,325,727,431,
064,110,277,818,541,739,979,519,382,506,505,568,767,681,642,622,777,919,435,
284,579,016,394,089,786,974,812,224,398,514,101,070,964,199,882,782,204,550,
826,742,179,735,827,644,223,291,555,060,052,188,588,372,319,242,374,652,235,
267,611,052,143,348,723,236,604,326,439,121,903,794,341,179,659,270,843,201,
823,224,126,552,045,584,006,572,898,602,653,329,478,642,777,214,820,029,445,
293,919,797,527,136,688,901,445,552,510,938,016,618,863,341,942,988,567,700,
043,237,324,123,541,275,101,544,637,225,767,696,553,159,692,956,924,620,263,
464,332,369,260,438,595,156,276,206,006,906,150,676,715,406,611,161,072,492,
316,084,004,750,409,142,230,205,930,047,251,807,836,882,785,114,779,033,563,
504,485,541,538,514,716,200,709,428,806,252,942,881,242,102,966,095,469,542,
365,546,178,032,928,769,634,738,671,790,213,617,436,709,471,441,514,913,618,
828,678,357,129,519,949,717,177,262,468,834,720,871,672,873,229,905,672,070,
229,921,164,628,373,642,356,369,305,659,875,275,126,949,734,620,398,461,787,
825,425,737,060,866,436,288,658,405,598,451,821,676,344,225,402,427,966,963,
088,122,969,133,937,046,577,992,041,712,001,121,704,668,939,629,679,116,609,
960,031,543,228,221,524,889,969,042,954,298,316,181,459,596,458,483,216,879,
817,642,443,691,163,915,102,894,863,243,089,169,610,896,283,435,676,949,763,
086,401,398,747,902,566,101,704,786,717,033,648,060,637,987,645,376,912,900,
847,956,327,851,854,818,189,255,665,330,047,447,146,880,332,737,075,338,294,
686,513,196,237,052,328,197,240,090,826,488,137,709,721,689,935,465,636,724,
868,303,056,042,516,239,462,474,486,481,051,017,797,951,382,729,864,263,206,
913,066,325,236,018,704,701,746,301,520,966,290,479,904,805,805,843,103,025,
311,016,245,265,981,840,515,140,264,370,664,423,636,017,935,555,642,204,151,
909,387,269,221,751,147,887,573,798,371,168,126,549,183,439,040,612,214,419,
479,109,764,925,028,685,619,177,411,033,945,002,917,355,028,100,222,175,391,
883,446,424,339,949,641,647,530,097,659,290,130,440,579,297,594,429,921,628,
335,558,732,551,538,171,607,222,543,588,598,174,949,811,603,784,264,296,668,
753,181,184,290,157,049,558,973,892,345,227,477,693,758,910,929,184,828,414,
069,057,432,192,321,601,584,370,249,919,484,971,439,106,646,020,326,564,620,
450,364,081,950,197,390,240,693,450,480,500,959,941,078,016,403,502,416,830,
523,862,988,799,574,056,460,815,958,389,559,528,760,992,234,232,269,986,651,
828,777,352,546,286,667,267,184,068,277,551,862,352,006,974,076,644,535,147,
364,487,771,657,418,875,026,956,907,542,223,722,381,183,640,689,212,405,198,
891,776,297,776,713,331,448,698,932,324,123,750,710,078,111,831,991,923,692,
513,320,909,421,242,254,280,278,714,741,134,883,468,648,200,459,032,933,122,
758,181,562,988,157,297,551,992,696,189,911,583,235,211,817,283,197,849,608,
765,878,057,174,863,447,327,894,745,235,594,184,317,900,807,704,983,585,696,
078,277,871,075,010,186,041,928,257,054,494,991,213,648,686,358,071,176,090,
623,971,746,968,131,540,518,677,499,448,317,917,602,945,277,561,910,141,689,
249,717,273,120,051,850,648,723,172,286,843,437,285,471,113,537,365,597,430,
871,848,313,034,657,869,815,813,828,243,735,449,601,399,167,539,162,839,938,
889,218,724,081,039,654,256,624,672,521,044,899,603,933,855,229,347,948,813,
017,537,967,308,516,054,209,566,359,671,340,974,682,007,529,724,215,617,641,
758,951,931,630,830,180,186,488,207,227,964,200,128,273,884,927,382,299,861,
620,470,717,676,680,400,104,473,114,740,641,170,247,557,654,963,828,136,039,
872,797,975,527,351,371,053,609,157,185,879,955,558,626,066,484,304,011,327,
653,775,189,610,361,636,327,455,362,239,759,329,192,712,766,022,031,567,335,
601,644,151,075,426,129,286,313,508,738,135,932,915,982,196,592,022,007,538,
964,596,709,395,359,518,344,601,989,625,858,794,070,649,602,197,274,342,764,
700,725,953,558,535,241,339,979,099,107,577,043,830,914,086,908,193,995,632,
959,360,196,540,326,156,394,956,806,757,865,632,465,013,236,022,380,130,044,
691,042,605,115,309,068,425,943,639,207,059,448,122,340,668,540,832,352,701,
044,068,678,199,766,296,246,396,456,922,596,937,558,382,117,330,161,149,791,
588,012,355,106,881,820,288,367,596,124,612,954,829,616,720,396,431,964,194,
642,630,444,532,977,568,102,639,357,771,173,013,666,435,859,030,572,735,169,
495,852,393,187,521,569,822,262,559,079,991,599,195,228,468,957,865,117,443,
999,642,872,808,299,941,798,008,393,238,657,954,981,141,575,087,064,084,507,
009,500,943,060,116,945,500,893,348,908,131,750,283,417,103,516,135,927,098,
987,727,209,249,723,184,538,149,179,757,057,738,261,391,928,247,246,139,882,
300,627,776,077,056,217,670,636,991,048,761,323,544,964,310,930,991,548,142,
130,367,309,212,637,313,068,785,987,921,345,935,704,788,833,114,167,981,826,
491,574,284,221,982,613,694,694,675,563,634,336,576,645,754,839,469,614,574,
594,944,788,710,462,035,275,297,991,148,411,293,510,422,766,243,690,780,143,
544,508,306,977,267,135,899,533,764,385,890,661,195,757,306,561,237,500,618,
357,889,033,686,284,479,675,618,718,311,887,766,268,690,956,897,702,896,640,
412,156,163,607,327,600,119,849,104,059,965,044,980,047,939,976,178,966,940,
566,196,956,557,384,543,133,132,974,906,212,085,250,778,142,197,177,151,611,
131,219,506,544,207,783,259,109,228,347,394,341,263,540,625,159,171,956,675,
521,677,530,335,542,424,391,281,130,205,061,367,353,117,261,688,594,805,458,
978,036,033,198,668,257,170,872,050,737,651,873,240,316,885,408,286,598,339,
492,509,975,529,838,190,716,314,535,772,323,791,587,324,319,530,177,439,472,
868,845,001,156,268,550,520,018,453,324,571,525,307,098,530,796,474,968,725,
943,948,400,564,140,695,630,873,361,080,418,437,683,254,178,345,988,327,381,
697,349,540,262,782,056,791,727,535,564,370,275,475,716,984,574,607,349,432,
773,508,056,983,283,776,237,450,044,015,640,815,318,824,646,409,738,148,417,
283,367,541,023,448,823,659,363,404,742,019,301,556,710,817,538,369,006,474,
422,616,475,533,544,347,689,193,167,343,094,057,323,060,114,597,170,701,058,
391,512,026,647,863,809,507,866,390,323,939,241,113,529,051,213,199,299,849,
099,636,491,539,965,798,472,217,902,474,132,328,725,135,138,348,207,576,982,
038,003,842,360,799,415,766,347,748,074,798,969,088,890,219,787,430,451,810,
149,211,355,229,768,481,127,515,065,334,735,981,302,908,924,128,386,805,900,
352,862,045,445,360,011,570,861,134,187,038,670,852,884,322,767,630,329,841,
045,823,883,168,539,022,420,207,108,787,476,161,058,935,941,624,598,360,216,
192,070,811,816,455,262,673,104,183,461,919,571,407,718,565,457,508,216,491,
522,357,725,312,238,636,639,158,796,790,069,726,007,444,733,344,641,567,133,
570,191,786,218,081,234,028,098,974,542,724,716,796,264,682,530,750,960,130,
308,116,309,396,051,083,470,501,159,935,107,060,939,834,646,333,157,378,537,
006,537,354,545,363,778,383,308,458,644,501,658,130,738,800,271,741,938,569,
249,369,838,938,084,847,394,922,615,969,830,644,915,309,966,989,268,157,958,
103,132,349,344,059,293,982,935,895,633,137,497,856,309,914,172,143,714,321,
146,235,088,543,418,318,621,508,616,398,045,506,130,956,540,837,550,601,025,
964,487,009,751,920,240,713,926,662,660,355,664,930,795,431,840,179,540,849,
882,674,042,959,590,756,002,123,230,411,023,135,599,506,353,898,510,314,975,
755,351,549,640,689,903,440,963,129,544,820,721,446,730,032,520,778,159,519,
917,075,078,718,636,117,668,600,288,657,478,900,467,710,535,149,120,359,999,
527,366,433,288,152,888,274,440,641,234,706,783,833,993,425,853,716,651,290,
669,348,716,703,247,267,427,209,107,850,136,878,211,111,788,861,349,970,813,
444,300,807,025,474,058,467,467,610,781,599,663,126,691,158,501,059,262,982,
645,777,549,205,217,617,509,858,871,486,972,979,719,441,677,096,085,735,008,
779,194,305,501,464,139,278,338,120,857,298,620,777,046,154,619,649,920,178,
563,443,039,844,984,639,937,943,212,970,190,981,812,146,169,358,463,862,011,
006,188,202,567,355,896,590,860,012,319,559,759,020,138,113,448,980,153,883,
700,875,056,738,540,614,513,127,435,300,390,469,894,996,026,759,954,955,712,
103,443,303,606,147,338,422,937,602,918,114,744,915,743,972,559,857,855,575,
368,906,621,299,049,107,373,626,651,652,631,765,581,076,194,967,263,252,232,
335,283,940,123,197,618,015,826,931,286,595,388,638,166,501,528,514,787,263,
972,887,851,363,467,922,343,456,797,310,771,842,202,092,590,163,913,543,317,
076,167,755,586,689,917,751,844,954,702,011,890,888,331,674,506,219,194,364,
619,371,674,065,183,319,272,350,221,483,612,315,494,202,056,241,860,194,501,
925,207,133,204,366,004,686,728,940,959,485,570,533,264,261,849,303,412,710,
823,087,559,447,986,505,456,466,570,387,939,234,617,632,425,772,387,904,317,
077,064,334,902,691,964,573,133,936,958,455,292,215,123,514,565,441,821,633,
810,801,633,256,874,715,455,945,906,038,606,877,856,551,158,006,325,103,056,
200,205,327,394,119,651,595,362,856,084,493,718,375,346,703,945,351,814,780,
464,452,355,991,279,595,458,259,449,483,482,033,034,826,488,950,942,697,530,
335,584,926,575,693,941,715,699,404,678,581,242,102,291,401,718,102,683,183,
200,007,654,584,392,287,706,430,939,488,706,014,503,670,913,179,332,418,540,
823,889,083,479,559,371,438,118,409,689,504,772,799,442,467,575,458,629,881,
853,697,351,260,710,102,495,635,747,108,854,713,556,627,275,658,092,199,545,
716,913,519,959,644,803,661,947,223,131,116,126,537,966,012,575,513,430,002,
972,106,214,843,896,641,785,831,130,700,447,295,359,389,696,865,182,298,468,
473,405,420,444,243,967,079,225,273,541,186,397,255,463,261,786,160,545,071,
517,317,288,431,153,575,252,887,888,486,675,815,865,668,390,984,175,129,021,
487,574,092,151,992,108,908,589,485,769,478,120,086,295,256,087,076,551,753,
018,733,210,470,965,978,906,255,901,028,222,693,580,741,274,625,210,323,682,
648,315,174,676,012,658,830,740,766,412,453,650,690,164,913,630,498,777,632,
489,106,742,861,222,913,794,363,985,757,709,652,545,028,823,639,180,682,438,
585,756,362,821,638,395,473,811,650,096,418,966,382,426,378,169,461,781,253,
996,474,964,620,048,711,112,882,347,950,918,021,417,384,415,843,516,986,401,
388,787,576,767,261,298,173,711,203,778,006,462,840,278,229,963,363,758,726,
945,673,184,219,385,643,850,176,588,286,757,920,423,907,437,338,052,130,340,
970,557,661,193,336,769,753,544,654,101,224,600,209,648,565,862,336,359,262,
958,281,745,371,786,792,308,891,214,708,622,674,623,257,383,041,209,544,248,
735,786,214,896,280,235,493,397,641,774,485,035,517,901,501,168,605,942,639,
906,725,995,811,328,046,027,039,611,019,205,303,906,074,880,436,107,935,070,
311,149,179,518,070,110,198,990,629,823,305,162,486,870,572,329,180,542,504,
575,351,517,567,776,882,407,819,798,266,763,199,609,716,647,002,177,438,613,
820,318,688,064,128,177,868,366,913,696,257,552,692,624,774,693,544,547,084,
154,179,270,243,882,040,784,139,835,259,070,533,595,383,319,770,903,879,256,
933,254,374,196,532,785,970,138,137,042,793,974,938,330,136,238,159,822,295,
774,162,694,255,148,704,990,787,689,399,403,070,269,244,504,705,796,303,691,
279,616,289,475,765,508,873,880,567,721,090,380,877,471,219,946,156,641,799,
950,702,234,853,024,492,911,459,456,801,873,090,520,392,026,015,223,232,626,
506,593,980,387,409,954,577,181,206,532,527,324,972,119,346,369,305,801,477,
350,421,995,702,481,474,266,060,848,981,923,056,456,988,766,218,693,397,288,
571,446,846,137,690,119,215,473,311,235,890,986,172,067,064,005,348,040,904,
719,570,803,939,119,692,322,742,369,048,308,868,555,561,326,384,031,132,125,
569,238,058,201,563,995,035,668,780,946,178,170,753,165,063,893,697,537,383,
856,792,020,243,361,671,363,722,462,919,413,862,850,750,887,062,342,973,937,
122,074,922,894,604,976,735,765,586,022,764,106,796,627,645,760,505,949,249,
697,538,982,212,151,347,896,407,643,610,046,443,429,363,544,096,642,037,903,
685,595,645,574,018,951,072,690,234,175,024,681,346,135,483,240,337,922,297,
162,496,803,855,882,959,635,154,956,606,228,162,284,656,905,693,112,549,500,
298,207,932,661,995,724,407,500,693,415,056,234,953,524,247,309,949,311,992,
236,161,077,317,377,970,495,993,138,478,648,656,507,510,090,080,156,223,552,
060,946,011,309,338,495,686,227,817,959,100,104,394,928,154,683,975,064,290,
395,187,234,809,363,944,864,167,036,642,276,800,457,260,411,374,921,340,492,
419,145,482,249,127,038,610,170,795,305,801,050,290,862,898,358,043,933,726,
576,457,619,806,401,277,751,515,049,577,264,921,055,573,517,343,323,553,460,
043,279,173,902,567,448,064,697,171,872,334,538,274,145,733,893,511,483,528,
128,867,625,439,526,851,728,529,158,823,521,965,517,513,012,258,828,523,431,
242,150,537,821,605,660,997,823,761,862,543,300,321,320,097,582,314,833,782,
882,724,437,517,014,775,359,986,483,187,764,416,841,198,500,912,633,039,416,
471,264,719,675,117,642,866,129,467,885,780,097,341,591,696,330,120,148,791,
479,726,656,283,579,125,749,243,996,059,135,177,447,661,483,015,460,221,309,
153,748,481,463,714,466,620,887,179,696,181,966,499,448,259,868,020,824,283,
132,904,694,861,464,528,844,129,540,579,272,998,024,889,025,821,482,426,641,
516,668,083,250,612,778,240,110,574,318,179,966,288,409,528,911,997,330,138,
932,697,262,707,808,834,027,704,079,311,015,563,776,344,914,402,892,766,454,
887,248,844,566,010,136,788,569,046,514,298,236,052,085,986,132,204,208,863,
885,559,109,643,530,664,349,729,381,305,913,580,838,767,316,779,128,673,181,
559,146,572,732,191,483,017,925,600,705,703,727,722,632,023,694,608,018,417,
536,159,352,852,320,261,464,495,097,907,393,155,968,362,024,544,679,634,799,
072,162,344,728,512,806,047,804,334,018,586,501,350,324,745,283,665,223,383,
491,824,541,480,469,545,844,772,646,207,506,384,818,698,156,450,511,423,564,
208,589,354,189,196,807,615,574,541,921,448,291,591,583,229,422,464,516,091,
620,890,851,916,279,240,353,091,682,778,824,703,521,430,978,945,815,106,860,
218,119,745,347,777,243,709,404,049,703,816,051,041,716,498,538,514,982,756,
625,329,692,320,258,232,762,348,602,441,669,914,544,207,833,850,876,379,597,
118,975,889,111,325,693,988,152,947,266,031,383,959,167,701,545,968,067,353,
813,676,558,012,067,144,738,499,989,863,440,462,288,893,519,701,843,621,417,
541,043,631,335,755,442,419,278,960,365,004,790,964,667,453,337,942,810,813,
302,695,980,800,883,913,313,058,275,657,472,167,211,133,640,605,738,256,440,
127,713,965,122,841,416,983,216,628,909,917,384,285,373,782,126,695,031,915,
038,063,309,471,770,501,859,053,448,345,598,343,913,379,460,986,304,846,549,
550,660,407,920,584,820,084,401,935,740,627,814,536,620,824,228,956,212,839,
343,439,667,342,153,731,532,189,748,538,589,912,140,847,993,018,872,734,960,
029,077,672,043,545,089,566,664,666,058,242,192,259,920,875,285,079,079,339,
967,255,070,154,063,703,238,168,342,168,058,209,376,791,959,469,179,941,455,
762,518,918,045,810,074,384,441,570,702,364,575,021,652,448,975,635,348,814,
664,667,406,066,566,505,176,634,452,546,480,379,644,322,708,786,910,863,842,
624,429,750,553,372,549,596,789,338,624,948,374,101,782,866,915,957,750,460,
268,356,376,305,674,331,507,193,958,506,513,767,697,292,308,461,527,502,784,
139,619,453,506,723,489,326,793,884,504,807,266,295,668,355,669,723,908,389,
902,389,306,728,705,931,962,815,348,641,875,667,250,616,918,601,282,109,186,
098,435,747,656,365,520,356,644,065,771,046,597,534,838,369,394,312,940,394,
463,350,897,908,221,630,794,352,234,026,685,815,648,374,863,697,719,506,217,
638,597,374,297,175,668,334,166,035,284,523,804,168,410,332,500,934,420,579,
930,564,876,924,349,926,764,330,584,761,084,837,027,226,641,422,207,096,117,
125,861,539,735,260,016,299,721,971,471,031,361,611,498,905,357,872,978,491,
523,391,663,949,181,958,801,147,157,596,649,348,652,021,373,893,795,670,251,
122,124,111,692,664,367,412,695,092,547,082,841,816,957,298,548,071,921,512,
021,948,074,919,164,909,551,094,401,271,728,378,726,422,762,496,879,868,210,
445,541,862,944,408,064,312,275,435,509,805,573,370,329,789,368,854,905,110,
422,878,118,347,043,552,813,159,016,005,462,405,880,581,720,623,363,972,970,
948,062,562,268,998,811,211,079,469,656,229,102,740,383,211,985,691,387,096,
680,269,223,562,912,363,777,453,886,874,334,981,688,806,479,720,493,685,311,
900,753,217,096,585,565,120,561,857,759,617,104,076,259,600,413,412,026,102,
468,639,387,651,384,823,081,737,208,736,829,868,874,927,524,703,238,192,485,
300,928,670,377,942,618,259,041,047,069,566,762,407,876,366,856,808,442,638,
342,014,620,264,270,378,536,682,933,436,518,675,360,930,836,258,885,495,689,
818,734,805,008,416,209,415,039,081,929,675,042,043,067,723,782,862,447,323,
545,283,491,840,666,020,072,598,948,745,358,224,373,166,814,717,881,868,342,
528,690,640,538,615,138,639,097,474,717,352,198,567,609,914,391,572,760,966,
968,647,858,485,269,211,858,119,400,202,616,223,090,066,863,132,533,820,746,
954,209,778,225,891,536,141,464,136,545,821,037,968,943,615,498,182,706,599,
738,001,789,177,553,241,532,752,451,476,807,370,071,667,555,185,465,753,954,
739,527,751,284,549,496,288,492,954,706,162,589,661,422,225,835,430,094,597,
134,692,452,533,505,528,513,157,308,655,594,283,959,581,264,198,914,703,495,
543,722,887,612,294,567,577,151,977,237,494,380,689,547,218,300,007,145,595,
109,898,445,134,001,102,466,492,542,586,297,645,811,575,534,729,119,485,254,
240,426,912,128,036,308,043,243,995,679,885,261,048,762,742,625,171,989,276,
415,400,946,585,925,636,190,674,930,881,351,529,093,430,762,899,665,735,471,
872,722,519,353,907,427,953,573,533,783,283,382,435,992,381,069,595,847,219,
881,296,764,603,419,399,081,145,296,769,997,220,761,315,667,062,064,134,332,
412,661,183,499,023,880,029,354,917,512,746,467,140,148,734,353,113,255,738,
000,349,536,285,086,351,304,758,937,690,355,631,320,249,925,375,870,284,173,
716,395,228,223,514,104,073,082,310,336,537,245,451,695,926,300,536,828,245,
266,128,603,802,855,319,987,045,489,694,836,719,590,813,532,560,040,103,806,
272,407,688,183,219,109,071,804,719,876,613,115,610,306,786,593,021,055,982,
630,830,341,723,783,705,443,155,678,858,288,918,165,324,993,033,695,524,026,
704,520,858,121,052,143,422,103,339,070,865,433,582,879,203,632,328,617,786,
985,014,496,921,625,616,084,734,344,726,217,000,016,534,104,889,812,777,710,
997,314,677,942,424,555,811,390,918,540,180,768,501,096,788,064,391,318,012,
831,215,413,061,057,454,267,861,777,273,413,107,249,672,355,470,229,305,189,
214,915,873,391,088,931,363,010,851,994,384,436,616,748,734,307,604,133,438,
047,454,008,208,710,387,981,723,415,683,866,700,028,739,959,671,678,981,549,
829,978,139,904,890,812,798,197,829,336,122,643,181,913,449,628,380,060,387,
223,057,442,696,831,622,083,390,207,160,546,262,268,449,745,078,825,465,640,
563,253,973,366,654,025,895,818,597,730,327,317,376,045,762,978,351,366,249,
939,691,513,300,268,348,719,023,347,152,588,537,625,739,807,117,377,891,523,
391,434,110,296,672,730,676,182,327,744,640,716,392,259,093,157,009,661,920,
360,965,902,596,945,760,737,914,729,835,387,453,462,513,883,256,324,499,218,
904,507,653,609,497,478,191,525,834,399,796,760,853,886,280,973,702,276,816,
352,954,736,704,787,886,423,593,905,487,314,482,820,763,510,120,299,018,468,
385,309,514,531,240,399,237,523,861,494,785,484,878,002,050,677,746,561,629,
484,729,869,693,917,161,223,661,257,122,664,033,998,444,757,017,846,675,149,
919,709,849,086,484,983,525,834,418,399,129,966,400,093,148,799,561,792,144,
023,608,635,767,180,916,026,969,771,856,114,877,019,183,764,593,042,673,697,
626,112,743,616,863,589,503,915,923,740,770,331,004,329,428,523,056,318,367,
470,047,124,271,205,378,986,637,869,486,226,280,744,677,638,133,876,465,259,
515,845,200,609,390,395,589,468,138,698,025,369,043,863,471,447,082,136,293,
024,400,504,603,108,506,214,204,084,543,044,695,801,471,941,810,542,459,249,
816,943,445,152,629,796,288,510,630,470,562,737,512,338,914,119,748,127,016,
076,197,377,793,757,421,771,485,481,058,956,150,478,237,008,289,543,632,992,
582,054,033,405,045,837,177,700,679,990,023,345,277,228,350,143,034,562,293,
596,589,215,215,229,582,149,661,256,433,338,417,955,493,433,361,988,525,345,
907,071,395,280,024,449,911,239,142,790,636,146,560,771,011,304,565,042,615,
956,441,173,747,180,571,833,025,288,130,501,651,878,940,191,228,988,368,964,
099,957,354,087,979,490,518,119,924,393,398,287,209,025,987,120,720,749,568,
485,917,621,152,623,139,035,936,820,636,635,469,181,215,658,580,108,993,036,
131,709,359,827,937,576,426,153,981,208,991,379,434,910,305,018,127,970,457,
518,071,987,007,360,686,230,298,792,307,869,962,999,423,969,422,768,399,223,
928,979,780,238,057,003,301,385,484,653,405,258,781,805,659,638,372,756,607,
821,405,550,796,148,192,164,082,615,775,230,049,204,167,160,277,742,141,491,
457,980,988,273,460,099,878,867,049,896,280,896,925,151,230,054,290,576,955,
662,580,146,738,517,107,428,795,410,489,924,783,321,198,244,150,093,830,452,
875,186,871,378,370,584,817,522,340,206,096,627,329,237,710,402,572,696,495,
917,139,662,602,409,766,710,826,049,119,385,643,935,207,493,957,969,281,699,
088,694,701,961,806,325,402,197,643,988,135,622,456,519,480,281,047,472,669,
305,643,559,907,064,824,391,037,670,417,848,506,432,707,966,337,515,474,945,
343,243,606,944,788,075,948,523,182,094,925,999,252,466,851,481,308,870,527,
157,910,069,248,765,493,823,709,841,824,200,389,249,566,198,610,292,703,244,
821,557,839,242,372,804,932,797,368,530,189,466,755,715,083,990,515,618,283,
969,080,023,315,158,601,320,156,901,846,222,233,494,972,273,862,413,167,818,
501,010,661,048,275,364,394,865,379,828,454,976,741,032,675,025,214,961,675,
156,344,332,776,869,010,537,597,149,981,638,781,243,538,660,109,305,481,567,
822,192,995,432,158,411,929,242,331,271,392,774,731,470,076,163,218,621,124,
142,649,185,530,556,822,314,644,206,601,080,543,164,928,868,733,691,565,778,
093,979,680,358,994,612,027,374,252,034,924,862,912,972,016,214,428,667,870,
438,390,142,253,949,554,990,464,205,120,451,159,866,270,972,643,356,332,482,
264,177,787,532,202,611,911,814,893,334,682,534,777,805,440,879,147,812,591,
523,480,469,378,126,560,887,624,527,854,456,060,044,067,762,551,990,386,993,
617,635,998,571,309,153,195,767,870,053,289,413,954,564,478,483,408,668,901,
543,403,344,488,955,033,415,668,493,627,592,191,710,677,298,810,147,583,599,
362,380,055,534,562,848,494,053,855,553,741,246,418,355,193,727,572,915,108,
894,414,724,796,726,937,673,121,580,588,988,186,790,828,325,221,038,417,128,
849,782,158,208,540,052,327,573,222,333,697,539,646,785,585,622,491,809,575,
345,510,937,375,986,567,977,153,217,598,973,624,608,106,884,878,486,457,634,
669,725,589,218,782,340,076,539,576,975,657,908,358,977,838,591,273,452,084,
429,557,548,211,020,793,279,863,110,371,230,573,689,139,937,099,057,273,592,
602,429,729,585,589,191,592,425,654,889,049,531,009,569,552,003,165,707,419,
874,602,750,681,592,444,811,232,730,171,785,849,791,583,029,148,298,286,353,
508,562,793,523,809,825,150,063,878,408,550,238,508,187,870,372,346,288,599,
647,760,799,148,069,017,936,563,224,539,424,399,761,526,039,620,798,782,908,
336,261,641,731,924,530,155,518,422,440,836,171,141,874,416,964,518,201,511,
398,748,312,252,686,040,714,824,039,710,230,558,703,748,967,939,998,165,036,
350,477,295,409,323,053,852,017,426,622,720,270,821,829,130,638,225,286,474,
950,521,924,679,298,878,445,538,726,230,443,181,839,468,952,518,511,182,147,
347,782,606,411,498,689,191,629,215,957,455,112,028,613,066,541,249,265,716,
110,664,636,534,354,709,833,429,197,683,829,122,672,033,469,419,213,597,442,
683,289,210,897,826,362,176,344,907,868,371,637,924,536,259,353,150,987,361,
035,198,065,432,609,438,688,966,132,069,603,162,950,847,707,253,804,324,317,
899,038,771,722,999,097,332,871,474,061,519,088,966,976,219,525,978,591,419,
388,829,783,901,785,192,376,264,738,950,793,103,318,416,660,046,317,737,007,
281,511,912,695,204,355,705,354,555,179,048,802,704,782,423,327,237,857,293,
501,905,212,867,280,005,627,536,948,341,315,728,829,722,237,555,642,638,411,
109,430,109,833,208,303,635,874,080,618,697,795,919,416,544,562,427,052,475,
910,163,193,243,623,549,769,695,907,737,259,124,511,427,420,946,422,134,850,
321,789,946,549,016,080,301,023,726,085,342,611,271,434,098,651,652,450,309,
295,646,585,071,993,000,751,114,996,964,487,436,825,533,929,528,184,405,913,
877,806,127,324,331,249,379,662,120,615,124,121,567,399,749,512,181,133,524,
312,885,730,943,624,870,351,034,227,828,880,385,865,971,686,527,539,356,292,
640,360,544,576,999,351,157,813,395,547,726,998,761,606,986,188,656,113,421,
615,186,573,325,614,602,337,724,872,708,835,354,227,333,524,606,272,529,680,
556,510,463,409,834,426,397,619,422,125,353,493,114,646,625,540,296,922,644,
305,212,349,798,355,868,443,568,602,236,795,455,833,266,442,630,235,120,687,
357,754,624,510,196,631,736,518,611,093,385,038,191,588,616,680,720,883,752,
590,016,152,255,862,675,391,924,767,540,722,580,443,889,000,386,897,350,011,
186,261,634,095,679,173,066,745,481,310,685,566,269,559,266,952,653,335,275,
273,416,493,027,722,875,907,935,242,473,544,572,206,526,870,008,037,956,775,
221,490,645,160,681,042,293,971,382,771,099,966,823,870,289,646,757,189,272,
071,838,528,758,043,704,462,607,569,759,755,295,726,794,547,866,666,486,629,
284,199,047,789,379,892,160,845,716,993,494,939,510,716,206,173,183,222,519,
166,469,398,751,135,048,387,908,378,795,166,934,035,337,836,272,177,781,072,
023,453,940,642,478,790,321,881,696,708,445,649,391,661,411,413,436,878,077,
475,702,808,668,188,731,573,718,892,301,896,881,119,298,622,909,467,258,420,
736,289,730,314,308,046,786,623,733,029,662,324,428,865,691,257,280,783,711,
209,221,312,491,430,899,145,982,815,003,917,769,630,861,445,540,046,431,904,
095,930,865,087,934,474,576,350,620,645,423,009,959,581,357,941,660,399,532,
742,466,072,130,147,145,043,703,415,603,462,912,528,092,512,804,859,567,559,
872,607,941,114,524,847,096,290,731,707,607,062,036,264,077,811,589,416,707,
329,040,959,393,098,262,684,160,913,505,029,571,878,082,568,755,390,236,424,
581,100,295,643,873,856,347,002,243,617,114,133,455,918,740,635,659,522,837,
125,220,902,773,847,546,110,338,553,875,260,424,312,690,969,861,628,968,254,
275,247,148,010,684,096,323,009,758,227,466,197,748,909,306,404,048,700,216,
066,521,345,750,641,330,426,507,553,085,221,569,895,101,980,028,433,235,037,
554,606,432,106,211,393,064,608,156,459,628,021,215,643,429,586,209,194,089,
414,744,047,541,898,887,948,392,924,847,864,043,782,511,261,380,946,762,019,
594,315,743,212,055,651,151,359,538,653,905,540,311,863,989,362,453,854,835,
142,173,785,418,766,808,488,585,669,978,019,345,761,725,812,943,964,490,266,
359,932,221,314,689,188,259,036,647,636,641,629,232,854,184,255,763,591,469,
129,164,447,566,979,830,471,605,811,985,338,834,622,200,310,783,686,222,229,
566,570,231,194,259,024,222,711,762,718,328,224,325,647,823,813,175,368,514,
763,592,785,143,839,607,669,392,259,542,994,929,127,137,948,531,387,258,313,
412,464,508,754,142,844,682,327,008,186,672,043,049,585,438,674,283,577,793,
779,363,491,825,816,368,984,796,421,440,879,973,316,354,052,898,838,782,226,
644,965,082,494,575,236,206,560,598,020,814,867,466,989,970,353,075,597,216,
194,337,315,871,517,371,824,155,529,665,454,207,004,835,720,229,975,494,785,
361,453,237,419,489,571,469,181,418,171,333,252,310,191,444,087,616,298,739,
982,869,268,591,069,817,804,878,816,778,160,575,193,377,592,184,583,899,887,
490,971,526,721,882,296,434,003,565,423,939,826,253,419,500,976,205,412,554,
057,983,881,760,919,883,626,014,410,039,421,828,512,739,927,522,843,979,141,
232,824,022,958,952,886,714,244,702,337,469,864,010,494,077,458,763,894,088,
809,041,617,988,014,123,559,446,579,261,490,711,502,746,320,443,666,313,959,
541,010,880,935,761,901,390,385,058,601,953,723,682,559,257,364,186,990,665,
529,422,503,919,206,139,560,050,805,656,623,527,959,304,691,140,895,175,989,
589,778,507,304,958,440,756,298,899,431,827,515,008,912,369,626,377,104,037,
584,944,161,996,450,637,417,206,604,011,363,020,025,216,646,353,122,963,508,
054,533,734,410,055,804,477,369,051,706,087,797,995,564,604,243,355,520,803,
833,192,776,807,849,057,482,367,559,594,711,011,397,310,658,536,846,276,359,
255,586,308,500,484,790,024,744,513,477,675,157,318,139,632,697,487,076,010,
043,859,077,021,311,658,750,871,447,674,818,142,513,304,001,689,664,046,244,
748,912,926,138,468,388,394,222,647,076,110,044,921,918,769,501,431,660,857,
702,609,340,805,521,811,516,353,960,907,131,998,742,782,595,041,796,614,835,
309,814,346,114,373,618,708,410,343,503,843,697,970,327,595,206,427,050,789,
028,623,672,977,206,619,387,600,565,102,752,614,337,607,865,203,217,277,162,
386,797,154,951,408,769,260,876,324,680,295,088,775,000,550,799,972,797,695,
641,681,107,132,957,913,892,070,203,157,176,799,794,735,774,616,351,958,011,
013,541,924,603,514,686,027,825,903,931,782,305,638,020,431,361,404,884,490,
890,863,382,165,128,284,605,913,680,945,531,743,433,030,115,094,048,663,948,
680,886,813,715,503,707,061,960,903,000,392,119,099,833,542,425,366,065,679,
004,862,991,479,663,081,022,843,403,982,637,753,190,871,867,926,821,419,514,
661,855,208,540,331,874,856,048,795,633,793,665,657,890,487,982,694,758,243,
258,991,866,506,862,115,160,717,493,118,562,464,187,119,301,843,311,034,046,
908,124,186,203,779,728,253,015,260,594,627,739,381,819,011,428,081,651,576,
488,106,108,081,473,835,100,473,576,285,423,339,763,307,965,238,257,063,889,
972,437,494,389,947,400,155,145,723,924,137,324,378,060,370,960,269,073,469,
615,468,898,922,737,284,757,560,583,352,177,958,426,242,891,818,465,338,521,
436,944,597,509,668,326,618,068,916,903,828,802,847,738,065,250,872,875,920,
629,479,516,706,281,125,435,638,113,311,534,354,662,170,070,677,691,441,610,
497,341,120,087,941,313,389,013,745,382,416,180,462,747,387,863,971,264,565,
651,349,851,149,256,605,687,643,998,841,869,172,883,949,565,631,521,993,977,
078,503,810,330,117,031,166,966,820,094,618,808,313,984,718,001,189,581,569,
019,800,587,161,405,632,404,930,488,110,436,553,047,257,816,363,440,100,415,
317,580,196,727,506,279,586,904,307,471,935,273,231,140,626,893,537,966,968,
818,693,955,505,006,398,688,541,060,087,619,948,890,055,211,729,170,965,700,
954,285,217,780,384,077,211,022,539,772,755,209,723,966,850,359,300,796,452,
576,864,226,395,613,317,060,004,097,585,336,548,932,415,563,388,727,090,445,
028,146,105,979,765,663,666,830,773,465,958,721,155,673,921,605,308,981,667,
611,554,940,055,031,973,513,811,432,595,982,066,186,690,674,697,056,377,795,
121,938,153,221,606,821,598,251,471,410,322,021,244,005,483,354,836,375,494,
605,994,395,838,964,620,699,026,347,833,567,406,117,065,058,452,266,139,628,
829,781,756,741,574,304,030,861,441,596,189,628,803,180,401,882,642,300,373,
511,306,498,204,718,362,884,721,057,620,491,137,792,628,648,120,244,960,834,
461,383,644,420,052,411,076,419,428,830,558,837,014,638,503,614,772,343,280,
939,304,240,621,987,351,176,011,954,022,704,993,177,709,850,679,759,817,401,
007,171,561,257,773,368,142,278,499,172,397,661,473,140,352,886,082,209,082,
291,153,729,150,541,081,444,335,362,470,974,733,017,723,998,210,674,212,842,
608,358,171,171,575,032,857,427,573,799,479,457,040,847,452,356,492,981,735,
629,964,488,739,139,045,048,300,363,039,557,570,387,032,439,833,738,393,906,
832,414,490,229,900,247,525,555,720,473,929,636,373,444,590,761,611,031,267,
062,226,651,980,384,464,194,920,815,930,719,911,561,287,549,052,763,183,055,
983,751,547,581,325,833,731,966,169,823,679,514,616,386,705,574,057,151,585,
027,002,452,975,257,575,093,889,338,885,231,277,975,678,198,464,887,103,243,
038,567,798,659,165,261,343,844,269,564,197,190,663,807,189,539,917,486,094,
215,655,067,261,217,348,069,776,879,733,690,385,896,261,516,768,998,119,860,
190,770,414,382,544,327,834,529,980,199,003,194,669,816,383,585,866,577,717,
704,225,068,996,779,678,452,690,416,020,889,572,243,471,420,398,394,187,316,
281,063,584,242,589,654,775,429,032,145,874,773,837,725,999,064,007,566,123,
683,049,463,549,779,318,650,147,241,394,928,697,793,869,197,337,640,466,576,
057,976,193,239,132,229,620,494,810,078,120,646,249,512,710,598,998,230,724,
415,016,263,390,796,885,607,651,504,716,251,335,405,485,118,715,707,973,803,
416,385,870,065,992,722,179,247,397,576,105,468,111,289,338,139,477,141,195,
079,154,251,300,496,154,869,583,611,693,980,205,609,536,903,621,296,546,614,
437,157,885,620,430,415,754,374,424,565,529,398,074,102,146,330,249,805,293,
636,581,776,504,176,254,018,676,279,352,941,792,383,130,940,666,796,079,488,
344,149,362,833,365,873,851,804,673,759,264,164,816,826,053,793,952,998,353,
089,717,374,123,452,707,348,208,193,241,537,679,008,002,804,248,557,978,261,
393,248,120,238,728,843,758,790,265,561,813,816,093,422,618,076,588,721,123,
237,170,301,604,056,979,301,303,116,956,095,586,198,219,932,634,907,607,670,
886,605,327,028,151,788,175,429,278,781,727,426,800,665,686,370,511,889,533,
634,089,812,524,180,977,883,462,749,721,989,663,197,328,624,277,285,563,415,
703,938,574,396,976,011,213,258,396,569,403,904,482,361,731,750,035,369,676,
503,593,041,386,431,749,575,615,232,059,305,005,147,790,930,700,231,662,739,
269,006,070,751,482,362,658,754,653,393,048,479,511,559,647,159,032,331,386,
510,697,529,314,665,750,719,168,430,381,411,156,054,419,085,550,197,961,275,
010,975,889,518,025,125,415,728,183,188,163,298,225,843,096,342,070,943,537,
139,877,116,886,696,532,866,207,617,054,491,549,062,075,023,942,264,526,031,
326,408,893,886,376,355,194,403,882,671,924,385,734,304,475,447,177,128,471,
283,760,697,076,321,088,395,047,362,431,445,644,984,668,596,558,114,870,258,
475,029,373,866,969,275,595,739,227,136,807,822,635,999,643,520,773,103,982,
664,106,432,434,592,877,048,345,870,997,567,537,221,175,675,772,725,928,734,
048,722,848,295,660,546,633,808,931,368,305,680,209,467,278,496,352,540,609,
991,772,062,794,100,254,457,832,447,178,613,846,531,765,870,510,208,892,800,
675,009,074,588,765,614,855,274,880,654,802,907,771,764,441,654,222,893,495,
952,601,779,156,314,705,503,394,731,826,996,775,900,458,002,157,189,621,928,
041,233,368,028,106,206,798,447,061,035,155,041,630,023,489,778,518,472,504,
446,806,240,691,262,456,783,215,279,659,828,819,563,284,055,533,840,017,440,
429,137,103,818,965,317,767,207,528,376,413,310,735,977,206,905,321,608,080,
772,702,589,209,540,310,922,209,826,180,726,685,967,024,581,251,094,480,404,
155,326,892,356,036,935,896,178,444,479,413,878,215,102,161,555,491,731,608,
857,398,861,226,760,212,278,262,640,456,663,428,979,386,043,538,351,146,333,
900,857,514,140,606,353,616,976,468,412,943,564,917,007,917,230,605,858,357,
115,445,448,119,001,273,834,900,516,700,669,217,859,643,102,501,718,193,137,
135,607,587,229,483,394,027,749,359,633,239,767,607,142,048,295,232,266,270,
331,627,746,433,916,334,013,544,990,070,548,632,117,457,423,227,385,926,575,
488,563,706,610,141,994,488,903,608,895,283,256,568,014,313,770,998,376,165,
173,850,012,661,467,708,339,608,741,718,397,912,883,943,581,612,291,970,847,
024,242,385,051,802,465,514,867,920,172,792,097,697,055,937,933,034,828,087,
932,710,298,643,273,405,777,576,505,288,990,073,067,529,713,313,018,530,029,
270,481,309,982,288,552,671,082,835,435,316,423,562,482,644,830,318,207,988,
793,057,918,478,035,012,347,846,361,556,428,598,800,591,123,042,830,885,409,
856,568,027,012,259,094,755,294,692,636,947,635,584,092,134,687,323,037,203,
833,332,985,171,381,140,417,025,964,540,739,282,559,385,616,649,429,676,781,
222,001,629,861,573,510,360,289,505,275,057,766,589,423,323,452,818,651,001,
192,832,225,014,029,038,431,096,720,084,108,727,975,895,765,696,723,855,597,
236,692,160,426,681,636,101,030,870,107,347,683,184,992,417,998,391,078,439,
274,357,699,040,586,635,637,663,477,722,668,442,360,103,941,160,271,385,282,
630,441,720,304,311,352,534,749,945,491,868,118,598,058,025,811,892,578,236,
839,181,295,701,373,114,138,444,598,069,062,249,494,414,270,028,752,802,523,
622,148,971,648,892,176,107,461,996,995,623,931,428,501,520,695,964,490,889,
913,254,327,232,363,167,885,282,765,558,939,751,413,588,362,991,198,516,415,
537,888,043,285,375,384,567,506,939,186,192,117,426,556,179,148,432,073,709,
736,290,532,782,956,089,067,115,417,062,728,608,641,054,255,137,941,994,717,
295,697,238,926,008,319,066,691,620,931,617,391,923,659,996,063,449,033,115,
731,389,582,744,208,681,765,524,913,747,390,262,718,857,149,198,384,657,241,
562,328,072,774,449,262,710,510,904,825,441,947,349,980,319,480,088,399,305,
467,016,009,253,339,543,523,618,628,326,360,368,752,947,797,552,961,559,204,
132,646,148,266,298,915,135,974,160,274,985,287,302,820,016,039,967,909,569,
944,157,089,104,211,536,534,442,509,920,755,993,040,553,460,213,356,835,848,
972,386,145,011,858,376,107,710,188,734,843,202,556,727,401,303,415,099,002,
563,652,796,347,522,835,401,876,946,143,555,109,987,370,911,278,456,674,407,
523,116,681,998,677,756,586,270,822,254,496,399,300,700,181,866,150,976,787,
286,099,381,206,069,491,151,540,079,115,734,238,626,231,375,733,623,815,476,
405,618,692,894,068,243,290,686,987,001,092,097,449,409,326,092,352,585,250,
572,374,335,158,107,486,144,407,028,861,764,808,880,402,766,855,591,715,622,
416,404,955,293,968,190,950,174,301,742,424,630,251,176,177,450,110,828,708,
270,973,208,721,977,642,877,008,373,234,626,876,088,447,716,603,205,442,194,
394,437,390,685,329,056,543,569,940,116,608,222,946,894,168,492,353,311,054,
641,568,421,042,700,677,176,537,828,518,470,323,181,550,394,832,566,819,998,
638,742,429,031,256,476,266,944,883,005,243,382,511,776,805,755,540,232,957,
737,355,737,443,292,626,926,122,555,353,121,789,694,635,235,237,436,841,083,
415,076,592,694,516,105,658,381,431,828,052,777,889,307,461,182,502,209,101,
345,530,640,769,539,530,362,248,190,254,901,850,303,255,537,749,633,020,877,
263,626,998,066,742,608,871,642,288,526,562,227,779,366,718,971,089,597,613,
710,979,900,934,122,058,968,614,536,643,694,429,145,040,190,380,028,168,020,
563,450,673,088,008,538,668,473,809,136,724,120,670,400,704,373,094,648,839,
333,770,141,318,234,517,616,088,654,008,610,673,708,486,975,635,270,786,607,
719,565,062,273,037,207,081,790,469,542,861,300,283,810,732,938,930,710,388,
432,373,562,964,713,566,186,599,905,532,434,315,328,069,104,138,050,014,621,
488,729,152,842,387,497,346,792,339,916,139,299,390,971,273,910,226,369,911,
753,288,061,293,792,405,143,174,967,327,231,848,704,043,335,105,390,167,616,
435,528,258,896,766,351,155,088,383,963,311,590,647,375,677,854,945,158,682,
175,920,029,437,642,239,397,209,071,170,462,926,632,655,023,380,867,883,414,
673,346,348,999,693,503,936,510,174,869,103,241,356,790,695,868,195,483,055,
003,922,515,258,499,694,109,006,852,505,467,779,567,881,336,182,262,372,287,
402,061,441,661,447,563,348,813,905,357,386,720,346,700,678,544,337,349,237,
635,012,303,626,663,670,110,644,217,036,020,346,338,848,425,339,308,974,736,
847,533,147,599,475,936,324,949,273,330,495,396,626,122,527,511,126,920,930,
078,657,618,922,750,645,914,138,815,084,159,287,346,897,458,513,968,828,952,
849,249,615,473,998,046,079,338,560,949,582,618,123,105,777,201,805,781,371,
000,111,886,569,026,249,060,941,303,065,848,215,864,687,826,772,279,041,612,
925,705,635,522,105,753,763,204,776,931,535,169,540,523,509,308,694,023,374,
004,674,702,324,458,346,109,968,455,445,132,188,597,355,511,810,437,787,683,
251,206,322,187,458,274,709,017,874,529,618,188,824,842,457,564,300,058,674,
997,441,272,189,121,296,264,617,045,825,322,466,897,086,363,984,312,051,931,
979,971,848,443,313,263,091,222,493,372,764,261,174,018,250,944,256,448,680,
020,695,251,906,729,698,613,971,893,351,681,053,161,036,302,708,824,665,464,
527,796,028,804,185,144,351,668,456,392,429,088,367,889,372,981,307,189,447,
669,466,386,797,856,826,345,983,931,915,445,099,854,508,169,965,294,728,860,
936,618,974,673,835,532,269,797,987,190,053,978,089,508,370,739,949,576,000,
614,066,546,354,757,591,666,272,475,873,084,116,852,574,390,146,070,986,894,
213,986,754,637,635,514,232,090,793,592,046,945,589,688,232,324,597,068,558,
345,747,951,292,703,597,311,253,493,142,479,322,199,346,552,760,658,283,121,
717,646,608,420,673,423,964,061,042,851,572,472,118,581,312,931,801,003,379,
411,166,464,994,022,688,587,974,998,617,612,573,087,842,441,338,790,886,396,
578,056,448,918,245,343,408,997,077,679,697,142,898,721,491,701,413,027,096,
923,885,872,813,623,390,310,068,590,483,147,646,833,139,511,717,127,516,291,
012,937,183,461,013,633,493,636,835,477,347,541,186,744,325,180,613,863,642,
565,279,178,566,167,251,054,579,435,419,724,359,783,031,376,442,466,091,920,
622,253,456,179,975,853,615,117,042,926,414,139,901,460,017,213,602,960,803,
562,875,386,639,317,250,935,226,084,211,727,218,974,391,230,035,882,325,916,
352,930,097,156,702,465,358,484,923,351,069,058,586,291,102,722,134,865,790,
422,433,769,822,550,331,620,746,598,666,558,207,748,149,300,710,077,595,272,
713,054,370,266,106,234,991,712,604,410,403,168,065,059,535,974,743,601,090,
743,090,629,853,481,817,216,827,340,127,352,964,790,991,672,774,033,766,227,
395,647,547,769,017,795,531,260,571,321,657,656,625,404,999,824,451,706,098,
330,849,356,553,288,606,703,811,722,748,515,695,299,121,525,334,666,334,604,
191,199,898,876,771,612,153,933,977,526,198,089,916,318,586,564,952,543,975,
977,705,352,139,254,535,145,511,244,184,384,213,564,990,131,155,571,364,311,
743,147,910,374,113,382,067,311,035,954,521,817,624,545,108,215,150,812,071,
203,986,460,201,673,382,213,162,893,246,491,712,984,691,984,454,905,839,914,
967,067,243,232,440,175,359,020,077,083,176,992,195,518,235,599,719,462,511,
516,021,165,350,984,608,896,024,002,511,779,453,454,453,080,774,957,854,570,
028,011,976,048,981,949,464,956,362,087,220,582,385,148,077,002,756,264,823,
747,095,082,627,606,321,423,112,953,433,988,541,813,768,415,674,639,845,649,
455,573,457,069,206,799,557,693,030,501,906,000,260,301,845,946,619,607,153,
207,361,070,207,092,788,528,959,608,947,260,578,177,996,003,871,710,767,721,
197,985,187,283,119,963,801,684,273,749,695,466,252,253,289,407,611,882,543,
370,073,885,970,190,375,970,459,519,168,640,460,797,543,142,634,560,952,079,
505,932,566,743,831,000,307,336,268,166,217,250,754,785,526,430,932,560,895,
673,087,238,739,850,849,096,189,722,480,398,099,739,586,161,751,293,394,005,
867,176,479,454,382,118,986,081,873,668,756,364,504,528,665,514,294,800,252,
134,215,095,780,443,850,677,613,240,992,608,211,391,268,460,208,396,300,798,
234,448,777,395,888,962,697,639,680,293,070,356,344,678,282,745,402,070,618,
626,395,527,846,453,987,504,970,018,013,958,772,194,857,186,533,506,062,245,
930,949,584,906,432,854,746,316,043,776,244,358,945,565,796,363,289,332,039,
064,605,863,162,110,114,690,957,795,898,578,150,259,450,818,787,486,572,631,
853,187,438,509,491,069,487,208,786,756,296,910,966,705,013,423,484,676,830,
058,555,155,736,604,037,438,597,319,665,325,520,599,749,643,896,678,510,632,
168,171,028,081,897,312,521,649,164,989,744,494,908,739,994,303,185,617,537,
170,594,817,529,967,840,906,355,974,763,472,396,702,500,207,648,572,675,450,
666,910,250,978,878,085,002,004,684,282,967,112,427,703,590,470,004,314,921,
838,410,828,257,899,551,723,033,349,980,296,240,677,505,480,945,276,733,842,
049,235,650,341,120,940,057,967,952,645,627,313,281,688,446,194,451,618,842,
196,912,663,347,168,194,333,978,738,335,553,610,076,938,089,967,138,820,699,
424,339,267,969,144,373,411,569,731,041,268,022,426,191,177,343,030,430,638,
420,085,867,414,290,024,163,232,615,850,231,843,758,223,624,550,268,334,437,
653,856,611,331,543,047,701,022,045,630,633,132,064,056,767,015,412,532,676,
595,561,544,563,218,009,936,777,764,609,667,016,682,132,539,096,341,184,328,
888,819,443,803,354,559,459,960,559,723,713,220,064,832,615,626,255,962,381,
267,543,019,427,373,583,264,145,526,040,480,203,822,094,485,152,888,724,757,
874,735,179,025,810,172,581,471,691,271,320,226,479,579,070,658,528,910,082,
209,499,031,208,096,361,241,849,254,511,679,106,679,354,748,254,729,920,987,
114,978,568,746,961,548,201,416,239,896,870,770,624,031,115,661,886,989,562,
411,228,445,576,055,727,803,114,094,704,500,066,405,407,374,882,355,779,542,
864,684,344,438,127,045,014,746,686,287,710,406,116,726,532,348,759,542,118,
766,551,068,892,714,465,331,563,166,905,780,103,335,536,982,752,303,324,382,
591,799,828,060,372,130,947,801,416,065,351,740,772,017,352,141,987,874,030,
977,848,757,406,817,330,311,032,425,605,137,304,102,318,550,543,978,737,571,
126,408,903,429,366,364,074,906,912,891,985,542,387,041,255,782,804,570,150,
949,638,164,538,888,832,237,346,491,119,099,891,034,464,831,644,228,965,802,
221,769,020,999,952,020,643,405,192,195,359,639,628,848,698,384,171,580,927,
291,195,150,967,481,170,162,929,866,308,930,969,298,131,993,047,032,191,601,
233,244,265,905,154,329,237,490,837,651,210,274,277,516,393,249,386,019,303,
527,393,204,550,845,902,970,116,133,615,957,126,412,084,534,618,145,440,637,
004,675,077,262,600,944,441,098,365,937,273,327,490,511,269,962,056,806,263,
534,176,287,148,791,665,404,417,068,320,898,563,510,601,355,231,261,565,613,
293,912,938,948,913,353,785,966,626,289,190,543,541,766,168,222,927,598,909,
017,021,280,543,559,507,306,629,165,174,241,949,667,880,215,757,731,427,953,
229,140,814,598,205,433,793,537,830,988,371,729,121,929,054,193,056,822,065,
066,379,072,862,065,583,351,422,355,569,846,093,365,639,146,167,205,147,977,
322,408,762,984,956,428,885,153,147,836,785,092,083,699,300,242,448,465,567,
422,131,616,613,635,919,819,442,641,831,433,953,010,741,510,244,573,286,248,
162,779,826,019,377,198,678,817,071,256,293,048,189,767,166,648,325,382,232,
122,413,963,839,384,848,796,282,101,696,592,019,638,147,939,306,442,932,587,
054,074,794,698,922,464,244,292,463,381,688,986,539,542,174,927,044,613,168,
089,029,180,677,609,184,391,126,335,709,711,261,081,281,841,540,135,676,928,
776,394,164,463,276,559,652,943,787,525,096,454,286,456,857,526,300,351,961,
688,047,484,616,218,745,071,939,638,875,856,808,256,224,806,507,845,779,591,
482,208,289,291,595,959,732,267,628,835,476,093,438,776,547,280,919,477,594,
940,535,351,577,411,392,325,151,287,390,031,626,105,816,766,981,016,827,653,
753,092,324,088,270,878,551,398,028,752,653,963,989,558,903,205,890,506,790,
971,920,979,009,392,421,914,831,088,471,991,572,495,033,482,645,488,152,172,
767,068,590,764,025,740,000,926,868,971,246,360,349,790,779,166,158,086,590,
643,864,495,994,959,646,859,645,202,250,821,688,245,210,664,997,469,441,020,
500,358,100,923,295,467,092,695,118,291,626,928,142,281,618,130,046,420,393,
043,495,899,131,407,431,063,786,152,082,618,337,276,817,189,415,258,768,658,
155,093,101,038,007,666,918,644,222,109,691,798,567,606,858,725,582,959,322,
364,387,064,175,834,173,732,330,855,392,014,572,957,085,399,830,850,797,287,
967,243,118,333,565,231,313,896,488,448,702,107,526,937,074,474,587,935,443,
024,145,679,182,924,478,839,704,955,162,489,844,231,397,490,624,008,475,187,
780,281,562,953,103,685,866,224,366,168,524,105,982,153,619,420,303,459,768,
285,921,731,508,611,826,054,802,493,008,140,761,010,542,180,308,390,445,498,
704,493,122,791,429,673,383,098,482,975,465,423,034,847,801,481,198,307,383,
749,700,232,095,489,305,544,767,058,031,867,857,017,929,984,790,833,619,008,
977,415,618,881,425,319,753,005,695,601,614,776,824,739,832,192,032,332,888,
279,200,407,147,019,499,900,772,108,862,787,091,997,590,565,070,280,926,643,
483,677,486,141,740,528,121,300,867,094,359,801,383,509,874,022,924,933,931,
007,184,594,590,804,979,923,708,396,153,687,651,867,979,175,570,523,292,978,
703,265,387,038,568,874,050,737,106,887,258,972,838,864,414,100,045,648,736,
953,314,571,749,813,989,957,985,779,063,360,658,083,511,955,693,570,593,548,
852,974,450,336,480,053,800,256,437,714,555,907,013,379,165,061,747,808,999,
025,593,021,707,486,769,177,017,565,516,757,695,845,111,107,242,005,279,092,
312,556,098,318,867,168,289,864,886,887,618,951,072,295,788,839,802,925,813,
070,492,952,252,235,137,482,143,935,905,317,762,534,229,434,657,758,998,345,
736,716,775,989,703,314,230,078,704,343,925,413,982,401,534,624,616,311,519,
533,462,452,672,088,506,724,438,879,922,992,341,799,408,930,818,592,633,415,
972,717,205,820,336,516,126,315,942,925,695,128,401,236,268,058,884,643,042,
304,671,807,760,601,993,608,295,278,790,635,596,813,295,183,510,615,299,245,
899,556,371,942,613,819,557,225,470,686,909,127,539,445,306,800,368,598,394,
697,364,472,520,269,463,100,359,706,051,616,063,520,066,965,438,404,719,295,
401,148,717,258,124,318,187,908,696,117,747,033,567,180,656,648,639,195,459,
731,367,271,254,214,354,708,674,998,472,004,955,722,879,185,532,425,811,533,
792,473,675,480,834,954,398,860,021,871,438,811,582,237,992,582,094,708,438,
817,822,434,404,263,538,264,662,017,118,350,012,218,701,405,391,935,677,114,
949,955,325,102,047,675,031,006,833,038,822,138,736,444,119,973,655,451,821,
372,484,576,619,683,062,046,503,600,524,893,962,476,706,301,726,681,126,198,
139,252,620,141,524,460,853,311,083,686,731,604,276,596,518,865,444,484,167,
026,491,414,337,831,131,224,375,190,559,284,825,349,539,822,097,702,505,045,
627,098,375,219,104,222,933,784,690,772,943,915,277,839,824,029,771,064,815,
577,970,173,904,811,185,876,864,005,811,231,899,485,488,251,147,480,446,939,
197,502,100,879,628,952,304,673,385,683,529,506,406,598,771,038,069,239,757,
816,940,468,971,894,940,708,554,097,876,871,535,817,101,673,178,993,613,999,
427,694,724,841,063,125,290,605,609,175,834,417,463,247,907,899,451,588,864,
637,257,196,111,239,508,527,540,866,943,071,210,330,233,187,821,832,336,400,
727,048,446,924,365,155,907,062,647,992,680,750,349,918,456,834,352,752,502,
929,707,114,126,673,809,720,035,476,288,399,071,517,318,209,964,216,546,683,
555,081,457,429,570,240,416,563,418,867,024,871,864,873,147,056,300,814,691,
887,091,482,043,625,612,200,435,307,229,787,762,619,789,753,968,913,011,505,
591,481,864,679,497,984,394,049,624,084,011,946,464,725,233,631,507,141,348,
940,337,997,350,749,184,972,906,010,349,697,349,658,639,709,378,087,846,830,
849,090,201,857,191,854,830,575,130,705,201,715,922,656,457,799,480,750,813,
106,643,218,959,182,833,814,829,050,180,146,575,529,585,664,485,108,399,470,
633,841,330,035,432,707,574,401,611,960,037,901,744,649,740,421,958,491,594,
893,475,047,604,069,277,047,006,899,406,872,577,238,416,535,651,325,960,002,
790,963,078,902,035,622,666,798,778,058,761,280,154,985,289,698,478,121,458,
041,130,875,197,421,643,949,314,339,800,219,262,786,313,848,924,360,760,523,
747,847,379,005,631,685,306,061,063,680,713,504,489,054,473,902,929,839,739,
171,347,742,214,198,594,594,002,765,599,047,722,021,693,058,125,930,809,603,
587,224,507,614,165,832,792,490,633,438,601,251,774,595,177,311,993,849,892,
833,725,601,806,445,400,154,789,023,441,358,475,649,653,655,319,690,948,112,
070,251,009,983,555,744,562,478,771,556,110,736,504,111,822,827,791,888,171,
933,702,944,035,818,345,981,024,771,630,978,003,826,926,377,695,246,526,704,
815,678,969,237,440,049,557,553,594,634,079,921,793,819,239,612,581,558,027,
909,372,739,070,494,356,005,242,139,567,692,891,381,359,351,269,316,299,536,
805,618,698,900,109,906,878,195,991,871,258,205,852,105,102,019,721,700,894,
120,352,111,233,880,689,254,163,302,120,594,013,545,890,396,820,213,326,051,
007,843,414,921,099,142,601,061,788,752,737,869,458,537,607,674,408,708,160,
118,392,625,858,982,713,879,448,419,624,881,726,071,010,020,783,773,898,434,
055,831,099,258,735,468,074,147,918,199,834,779,909,252,758,379,163,392,925,
127,169,862,270,191,181,489,212,646,751,342,917,554,302,003,387,271,543,538,
978,800,223,736,332,793,235,096,869,615,454,895,510,474,317,864,404,757,993,
630,815,191,180,419,492,806,716,926,426,384,958,253,972,013,409,191,059,453,
487,740,105,871,909,931,190,538,716,816,523,506,200,190,321,304,555,132,863,
486,653,276,021,809,114,589,211,383,162,618,315,954,437,657,244,488,155,646,
632,628,893,159,039,406,850,722,570,303,305,791,371,989,834,355,112,725,884,
297,059,287,343,180,277,321,186,008,611,586,132,870,730,674,043,538,467,447,
090,863,548,348,595,196,964,133,676,334,697,247,844,980,700,519,922,016,074,
134,124,386,421,940,284,169,735,073,920,902,815,476,286,060,187,120,961,397,
959,534,302,173,428,380,093,399,082,893,495,186,450,955,616,176,131,391,764,
724,691,622,382,466,265,080,691,362,584,986,723,256,063,023,687,005,290,076,
603,462,916,381,463,053,296,074,939,022,545,824,575,891,061,454,092,016,589,
870,456,499,131,045,432,767,019,632,589,283,345,687,106,506,538,201,736,970,
307,416,502,717,028,880,457,248,440,724,979,157,000,499,330,497,647,007,790,
630,974,305,590,585,231,309,818,172,402,463,791,455,093,440,563,804,092,067,
604,317,362,132,903,861,310,165,313,416,197,513,460,840,334,117,256,122,449,
230,106,689,083,671,646,899,451,794,569,803,968,647,993,117,451,257,936,306,
174,884,048,526,048,614,366,307,587,677,271,371,009,387,818,847,187,059,666,
682,039,872,562,939,643,035,228,817,317,214,018,261,756,921,706,914,196,599,
479,414,817,521,741,111,839,983,064,442,458,502,996,649,145,851,463,822,843,
942,458,746,742,122,307,773,285,226,989,544,632,732,015,729,517,836,067,643,
201,990,079,513,674,157,073,595,163,254,492,951,115,687,248,921,291,298,942,
886,834,687,581,120,011,896,680,295,822,499,725,190,548,241,457,173,186,572,
071,038,196,426,594,113,523,882,548,630,683,907,295,273,860,670,676,099,296,
376,569,137,352,806,768,281,159,917,942,456,477,245,549,496,269,372,942,880,
473,125,710,057,479,763,695,681,131,456,847,281,918,010,881,162,231,019,951,
691,485,352,095,439,406,450,995,389,584,911,183,607,403,026,916,665,895,814,
299,075,018,073,053,088,804,600,805,533,005,573,511,858,943,072,101,438,221,
903,841,205,776,387,709,539,372,645,024,731,483,284,998,591,602,776,391,667,
470,275,225,036,268,871,874,246,569,195,073,014,731,564,850,634,952,163,650,
350,795,992,622,334,131,034,689,450,126,734,643,655,733,548,379,661,390,480,
041,423,604,667,512,853,220,584,761,894,710,912,294,601,816,106,666,538,976,
619,136,846,687,553,605,079,979,926,242,569,836,083,336,065,412,208,295,845,
198,140,781,859,581,810,942,195,126,768,378,181,359,528,237,342,774,064,063,
339,649,766,937,086,269,076,607,941,882,178,746,430,923,401,867,710,217,136,
863,228,701,002,976,591,817,930,974,341,475,547,260,215,661,283,148,229,903,
661,990,740,087,389,013,134,278,325,406,872,957,755,513,642,776,356,397,249,
628,335,778,108,880,671,262,383,776,346,337,680,517,897,084,897,460,246,296,
392,855,463,017,960,320,785,734,226,866,540,373,112,277,225,548,628,503,232,
460,008,305,475,281,327,278,512,977,160,644,100,810,400,953,119,082,650,935,
971,202,015,448,118,305,925,693,423,455,731,279,644,164,506,577,142,288,155,
662,862,562,211,711,709,387,913,956,259,444,912,053,058,304,576,673,985,819,
774,021,862,571,551,242,937,754,157,001,176,813,812,519,024,399,442,829,704,
862,525,014,798,792,479,588,142,778,391,187,267,767,010,420,392,023,137,076,
972,686,174,567,365,312,291,838,450,622,852,136,610,158,532,506,682,810,421,
517,008,346,502,625,418,444,369,399,072,548,403,537,952,013,494,542,606,316,
611,401,367,885,611,544,186,341,739,523,264,021,665,835,784,210,439,597,889,
977,231,000,452,394,324,385,783,350,731,389,843,067,454,636,256,193,390,230,
398,521,951,842,526,380,554,155,966,178,249,999,742,172,515,774,251,433,179,
280,140,213,596,742,365,870,673,616,181,022,791,646,240,740,321,449,674,611,
329,154,374,261,320,474,357,568,812,749,712,615,408,375,507,809,051,583,538,
966,979,338,564,970,164,411,762,217,816,328,368,664,201,156,722,164,610,976,
734,810,553,390,124,327,113,255,244,765,124,038,449,010,305,557,675,869,058,
226,200,128,764,019,712,553,072,707,411,087,759,890,755,832,719,162,985,707,
593,377,239,698,205,153,611,970,817,591,629,466,462,338,320,339,722,027,051,
357,610,210,538,869,576,242,891,471,793,755,653,275,930,452,650,402,314,480,
001,610,025,559,568,566,099,232,389,659,326,801,184,122,738,912,967,185,087,
559,074,424,527,443,870,566,620,958,250,321,410,983,657,210,617,220,479,956,
641,579,984,623,433,368,848,398,547,680,720,246,255,617,014,629,365,558,056,
688,383,765,078,086,242,568,732,828,967,843,550,898,939,207,744,124,963,094,
874,129,367,475,868,443,886,757,992,186,500,010,243,704,949,061,818,301,161,
115,314,403,258,928,205,668,173,094,452,451,852,169,850,764,872,461,987,267,
731,621,565,018,794,616,800,809,597,384,645,087,519,993,028,285,991,693,799,
230,876,270,971,724,994,253,575,664,770,599,864,728,083,335,196,582,623,646,
438,364,446,139,378,846,001,610,226,733,824,610,366,113,631,069,833,710,448,
656,156,449,967,303,806,379,601,595,396,192,942,307,164,068,381,457,135,166,
548,065,556,170,844,197,564,372,281,563,807,107,751,992,510,087,936,259,084,
532,561,824,907,935,535,656,065,137,137,714,803,015,796,749,223,335,221,604,
310,280,819,820,038,213,066,521,159,741,030,619,286,204,829,114,834,391,492,
284,024,765,973,599,651,789,169,265,690,081,445,300,513,912,406,719,262,172,
592,649,390,170,406,947,533,917,489,817,055,379,223,969,266,469,145,291,609,
368,462,127,341,386,435,677,673,806,896,198,737,602,177,648,699,635,235,542,
881,829,174,755,018,864,964,195,991,541,932,574,407,465,009,345,096,321,010,
515,042,887,425,725,015,282,570,997,421,870,094,197,493,260,773,345,670,114,
045,193,044,869,905,770,798,009,326,471,319,539,916,323,120,489,749,516,100,
896,498,738,001,412,229,649,425,018,674,847,241,091,333,701,843,643,142,259,
043,255,777,843,117,116,689,873,265,821,927,291,143,025,459,002,371,296,279,
810,673,575,999,154,905,142,915,036,576,224,186,766,453,827,861,605,594,019,
538,313,436,713,984,279,685,935,865,855,099,791,731,908,830,466,132,035,134,
476,860,111,723,264,140,673,863,575,572,318,072,091,038,356,435,400,283,281,
481,505,296,632,390,261,888,648,471,740,375,016,589,162,452,199,225,898,136,
395,075,563,553,813,099,414,770,875,724,068,619,255,868,006,073,933,284,866,
372,948,611,400,406,709,786,838,604,354,920,676,790,173,273,005,295,416,780,
482,282,874,472,456,951,799,960,507,809,759,451,603,681,937,454,688,247,406,
660,625,559,731,767,240,408,185,079,589,298,521,763,421,864,853,303,226,046,
278,545,340,535,601,205,474,176,109,838,600,932,052,031,500,233,035,116,230,
334,046,659,821,658,132,799,420,495,011,920,560,277,239,989,584,633,195,608,
424,034,024,985,996,705,858,242,876,039,601,365,642,680,748,893,891,473,249,
967,654,264,277,812,996,988,876,044,581,395,257,401,315,878,281,047,130,574,
545,703,009,490,372,379,737,392,980,158,950,152,229,173,202,547,248,612,119,
852,703,370,211,709,896,356,137,617,343,622,469,567,831,823,363,381,365,029,
171,652,343,257,544,812,289,578,207,841,211,355,627,575,070,546,734,567,927,
917,124,347,788,193,023,005,508,814,258,761,079,066,116,653,176,000,902,732,
462,658,199,745,828,803,895,796,152,258,638,168,324,716,520,360,398,456,296,
142,859,443,705,397,557,156,174,316,780,743,370,229,404,198,428,448,649,018,
870,780,686,101,402,216,764,754,088,634,247,060,950,722,824,056,054,216,200,
581,297,984,341,513,631,300,076,300,383,707,298,665,767,583,827,046,081,100,
415,476,883,402,550,097,685,207,334,055,386,214,096,512,587,161,896,076,365,
832,442,895,962,659,232,957,073,399,105,827,734,696,893,388,380,973,015,948,
427,166,902,071,907,488,282,043,511,282,127,314,399,709,143,240,602,068,492,
041,881,475,777,428,263,465,262,441,500,808,642,125,083,860,476,431,654,873,
092,616,064,089,433,653,695,833,381,815,942,509,211,409,148,894,826,459,434,
946,061,561,520,987,113,328,862,021,743,846,594,983,354,970,169,055,696,149,
225,770,905,374,262,857,093,058,688,256,249,763,737,948,625,506,543,803,209,
873,254,037,759,739,227,105,241,934,594,032,711,942,756,568,030,667,996,074,
030,299,660,354,410,196,503,475,368,206,437,425,939,751,436,646,246,881,876,
375,024,126,847,183,091,974,661,389,377,499,740,322,246,844,354,381,045,171,
690,832,155,824,871,735,086,379,911,874,903,211,280,083,398,982,073,836,000,
538,216,688,766,256,846,339,965,628,472,922,341,683,343,650,669,465,589,836,
305,954,307,821,187,207,144,601,904,391,314,762,688,879,758,668,933,265,936,
318,917,310,561,149,986,754,565,940,957,331,960,631,395,650,175,746,895,590,
238,286,044,833,529,814,808,709,411,521,547,762,720,934,335,380,396,555,328,
798,385,690,753,324,188,152,425,651,329,835,643,231,524,461,771,438,017,451,
312,260,844,978,016,860,823,709,130,273,910,940,913,392,667,949,473,237,413,
964,740,530,304,271,864,279,881,822,405,542,120,038,554,148,759,153,370,539,
107,445,158,382,512,498,971,635,195,271,612,884,488,211,217,122,957,748,962,
426,790,946,270,416,974,718,138,647,395,136,366,983,769,946,797,358,401,929,
036,928,576,351,964,852,804,417,836,613,367,262,889,593,313,535,723,276,794,
263,252,099,671,273,454,399,859,586,972,104,085,741,798,012,343,239,909,674,
686,430,663,173,244,181,111,989,462,071,684,177,969,148,188,694,937,325,589,
416,805,531,989,488,391,425,536,185,094,791,849,248,091,794,335,310,979,238,
258,810,929,896,079,421,846,058,817,440,391,177,677,828,435,059,111,196,789,
282,291,499,000,136,059,811,451,270,782,126,722,803,228,897,781,757,665,920,
754,253,767,768,375,204,577,396,608,053,968,727,892,072,038,373,589,003,101,
650,480,757,821,479,265,718,889,304,551,992,570,038,397,695,488,389,986,820,
355,689,817,714,865,715,441,270,390,469,973,431,049,365,608,295,911,004,692,
571,099,034,252,603,797,577,904,196,926,056,858,982,293,696,880,781,571,208,
918,613,353,375,896,976,775,207,000,884,638,746,059,931,430,782,816,554,453,
430,906,318,967,369,676,964,348,674,974,723,302,050,836,915,014,862,298,421,
469,102,436,398,261,217,859,291,183,609,463,508,958,639,625,695,424,422,511,
466,651,770,500,808,901,805,855,837,504,047,547,883,557,082,405,246,546,940,
901,058,643,311,406,739,249,722,444,915,580,742,452,918,835,738,475,133,392,
735,581,775,357,335,554,509,861,753,166,578,507,459,603,238,529,392,670,422,
691,017,390,836,850,559,830,426,976,166,856,265,910,074,105,073,004,174,636,
473,798,993,342,776,782,329,736,317,206,240,734,582,607,437,873,131,519,554,
679,759,515,291,015,246,407,437,997,438,412,043,144,485,062,407,020,401,664,
348,016,583,778,177,008,382,077,740,886,533,281,449,958,740,447,731,972,378,
377,809,472,610,020,438,077,250,214,857,618,668,108,206,885,150,324,876,438,
355,979,603,653,729,862,337,742,563,166,891,681,468,599,030,236,094,728,895,
679,803,461,627,789,510,024,471,812,174,721,085,291,869,757,593,185,560,020,
883,485,037,693,594,778,210,980,215,320,108,351,180,095,966,118,015,059,221,
639,100,892,787,056,808,240,060,903,632,230,506,262,494,804,672,406,170,605,
993,360,620,424,078,769,325,167,570,581,806,123,751,973,165,387,361,199,290,
044,096,026,441,931,276,809,948,437,278,536,415,050,694,741,710,775,948,350,
682,780,560,726,883,801,110,420,428,346,652,238,401,462,531,099,567,565,679,
357,066,622,366,110,329,027,695,939,439,651,148,879,601,679,143,104,361,504,
629,844,266,549,437,899,020,787,904,351,168,708,359,915,785,400,584,328,718,
386,914,002,317,451,950,178,887,245,747,949,987,767,738,160,125,933,204,276,
204,848,365,549,002,350,251,543,699,920,550,123,873,594,079,525,381,133,041,
429,418,366,403,921,465,564,562,117,723,571,991,699,268,816,430,735,070,368,
512,467,505,912,170,356,290,174,713,300,690,207,757,690,925,233,768,068,703,
218,978,182,375,939,379,076,513,453,571,073,245,738,558,676,939,362,078,246,
346,322,005,645,014,924,001,154,388,391,203,443,052,198,191,544,609,305,450,
923,190,179,140,583,409,978,816,526,611,055,172,645,367,984,032,626,861,038,
247,037,700,036,035,919,502,910,683,538,281,782,921,933,079,991,702,622,128,
386,182,972,037,477,065,090,255,494,514,254,115,555,597,606,615,525,122,362,
284,164,211,444,009,050,311,800,079,303,423,663,517,672,245,370,461,775,073,
008,363,171,170,682,056,091,408,590,639,769,817,409,133,644,378,235,573,019,
405,583,222,416,195,436,432,557,120,731,314,187,273,830,397,528,133,780,647,
463,344,573,807,505,262,050,788,116,944,054,136,965,270,253,815,732,725,633,
732,273,848,803,310,570,908,584,131,647,780,776,265,793,481,952,930,699,900,
821,502,704,433,739,299,894,751,742,279,840,952,070,909,977,567,205,398,342,
818,852,627,474,643,236,768,348,849,939,048,814,181,060,624,275,486,473,199,
631,315,953,537,759,258,281,181,361,347,429,285,176,398,876,721,608,977,173,
807,190,633,436,360,034,091,254,911,351,214,787,129,796,709,549,479,765,759,
979,650,032,754,182,214,659,266,442,927,269,964,220,182,503,769,960,002,222,
118,763,251,711,540,811,305,144,351,798,867,924,539,748,352,393,340,991,183,
061,319,209,534,938,821,155,919,037,463,723,438,044,284,563,621,449,904,031,
624,782,452,585,950,346,664,484,794,117,845,961,570,435,901,733,482,008,994,
379,510,008,942,833,517,835,581,547,002,832,889,407,423,321,712,213,860,964,
474,876,991,991,083,779,665,786,313,516,320,930,025,501,522,768,490,000,690,
014,631,998,792,357,649,783,696,185,807,441,130,694,820,868,583,568,287,682,
601,494,310,505,481,401,455,564,961,640,718,153,085,254,697,867,742,135,863,
529,952,228,346,948,838,090,157,058,551,216,284,387,290,611,622,661,498,744,
927,493,091,840,339,747,634,968,431,317,730,681,095,451,852,846,734,564,765,
022,406,601,515,451,103,117,271,994,327,951,492,371,767,567,780,925,321,231,
554,128,678,717,685,323,955,222,016,274,153,775,434,823,929,003,902,583,165,
509,301,272,869,758,828,516,834,509,672,870,302,182,921,195,626,075,971,986,
592,386,058,410,053,548,192,601,853,297,926,636,740,333,579,860,323,412,021,
441,950,864,106,571,925,388,453,728,323,156,799,955,295,032,995,494,822,329,
455,103,549,870,665,462,279,430,937,995,216,325,994,273,765,256,284,231,017,
468,534,634,886,864,625,684,012,959,429,323,669,690,106,019,423,682,034,159,
082,761,818,839,154,044,223,988,779,501,431,702,782,788,465,613,114,128,685,
380,818,674,934,042,853,086,223,784,954,305,089,814,322,914,847,951,218,288,
071,189,745,355,588,742,329,164,078,396,663,155,583,471,886,627,628,051,760,
896,880,621,334,751,393,044,962,786,699,609,496,133,353,808,488,678,255,613,
119,707,419,862,329,504,845,088,612,455,330,886,209,899,304,641,831,630,861,
703,623,503,018,786,337,999,721,540,782,226,464,301,311,561,432,611,309,806,
605,698,950,469,656,064,833,107,640,461,265,680,439,965,841,649,023,921,745,
857,696,871,283,992,481,300,700,516,492,994,685,861,739,914,479,596,105,904,
546,013,040,046,185,503,283,950,628,695,088,196,045,527,682,489,436,676,830,
857,092,749,688,145,524,485,419,034,095,994,325,667,704,005,549,429,564,760,
717,651,854,657,689,111,697,062,953,764,031,359,804,881,730,049,304,431,483,
299,542,254,764,046,982,460,876,221,090,852,988,923,393,037,042,418,295,135,
901,310,778,467,663,807,300,290,935,375,996,493,819,145,307,524,308,017,227,
545,598,820,131,994,486,048,770,571,028,334,571,763,767,645,835,047,692,374,
443,680,295,409,591,223,678,271,484,245,807,042,339,914,799,583,237,110,765,
729,137,864,194,501,289,704,446,253,081,335,757,546,459,618,480,611,964,555,
818,418,527,502,955,276,348,469,080,668,622,981,224,408,309,364,574,761,620,
848,779,246,556,063,198,355,811,913,740,209,786,370,699,102,093,565,054,765,
681,368,055,982,298,294,930,755,998,907,496,958,541,304,040,155,985,490,882,
726,429,407,994,140,559,829,801,900,373,069,699,507,586,169,442,997,595,493,
107,134,574,612,677,487,511,003,590,803,472,935,631,908,226,778,788,418,371,
751,303,688,927,504,988,663,196,022,153,307,128,765,579,407,946,537,094,276,
769,486,828,190,892,114,000,616,747,503,936,393,527,777,270,109,725,598,324,
612,177,226,843,342,176,735,244,768,587,412,148,367,195,051,524,049,851,371,
079,870,716,409,256,804,374,950,207,802,508,534,163,491,493,669,063,307,630,
108,267,864,055,764,112,748,035,931,176,288,722,890,138,821,692,949,661,834,
605,393,053,297,010,226,328,919,040,670,838,836,307,469,488,858,622,512,372,
135,235,163,327,554,212,048,994,487,633,811,164,142,445,533,396,508,996,119,
582,487,078,329,445,337,239,496,827,444,882,299,786,294,769,630,218,100,073,
978,398,555,256,177,475,822,747,051,625,342,959,233,725,477,824,455,078,640,
895,902,540,666,145,523,485,592,265,732,099,764,075,930,143,888,939,846,188,
532,062,762,716,465,676,173,279,247,036,777,220,732,351,984,118,645,408,897,
574,627,104,816,240,285,014,897,882,316,659,213,386,544,294,322,679,891,802,
015,616,315,076,596,648,178,592,564,459,860,481,620,194,271,969,990,392,480,
441,753,741,830,027,569,579,259,139,664,147,645,095,069,723,582,828,362,755,
071,404,466,003,435,162,939,876,492,371,536,357,417,398,318,502,301,441,794,
284,884,953,780,470,952,815,093,740,402,856,602,535,704,655,188,424,040,285,
619,418,118,041,126,060,895,679,003,717,619,635,095,655,839,187,615,957,644,
931,432,587,093,811,843,627,345,363,515,998,698,686,878,860,282,790,360,478,
146,386,237,520,038,277,493,504,064,581,329,445,348,603,526,029,139,366,221,
004,951,580,400,441,481,578,739,998,309,448,721,251,316,406,693,682,273,676,
349,049,037,673,506,783,845,317,640,394,075,834,011,263,604,050,301,996,188,
882,046,038,249,694,034,994,941,565,849,875,429,857,534,751,027,791,275,697,
863,176,246,767,728,681,081,888,397,304,813,269,502,766,005,128,728,589,529,
059,268,157,005,865,159,612,737,476,548,817,771,976,182,667,901,229,703,908,
311,148,727,273,975,970,182,256,201,909,250,100,478,016,907,721,700,370,704,
703,965,009,354,814,629,085,925,172,727,583,998,942,064,589,612,175,318,462,
200,688,458,454,032,319,140,871,718,315,851,435,708,537,476,355,546,248,408,
050,261,834,610,432,807,611,144,904,094,166,822,324,960,173,596,842,076,481,
225,116,114,198,704,341,031,227,111,505,397,784,620,266,573,813,019,795,031,
353,121,339,444,132,940,963,378,791,463,849,518,207,425,705,367,551,409,200,
292,185,591,625,230,348,388,675,798,321,445,268,540,689,178,604,369,954,870,
813,791,159,942,321,370,989,915,868,620,962,857,900,820,939,710,900,389,556,
636,349,611,669,710,041,029,294,762,855,353,055,043,466,649,417,979,493,979,
698,611,560,045,196,562,815,196,812,497,732,390,766,386,261,616,986,815,056,
238,821,933,920,757,165,984,078,848,112,839,113,814,837,163,847,524,321,556,
444,220,758,755,822,240,172,218,048,009,106,942,432,158,962,351,481,570,638,
726,403,118,295,379,915,178,063,057,757,601,629,393,243,301,377,307,365,962,
621,203,928,168,462,548,589,429,314,536,970,012,089,145,532,293,814,233,829,
688,250,451,810,595,806,248,007,937,682,946,550,212,838,746,801,849,072,212,
400,314,107,695,799,956,568,827,431,602,375,065,174,572,423,538,533,700,589,
650,443,030,243,678,807,408,550,026,632,827,129,309,893,501,108,180,520,604,
176,986,501,113,757,636,861,647,188,754,046,392,579,851,723,177,563,047,588,
892,743,679,537,613,896,277,778,061,787,038,487,474,143,730,009,476,320,488,
952,835,919,766,668,185,851,208,438,236,787,022,867,896,198,140,727,142,304,
617,330,464,136,539,242,529,588,360,984,065,255,695,970,015,954,661,313,168,
224,025,773,644,115,070,650,398,013,689,332,122,618,340,367,195,586,482,890,
293,399,424,558,273,379,397,253,231,958,896,653,515,209,758,414,284,842,954,
739,577,629,672,215,095,312,947,001,755,564,980,209,788,021,806,773,140,675,
993,334,880,616,613,465,852,799,465,729,007,593,690,023,506,877,664,007,033,
586,305,659,965,847,448,657,843,668,582,859,774,068,263,160,416,858,459,263,
666,913,198,684,595,907,703,630,995,802,732,041,012,413,647,328,234,362,429,
479,393,417,161,754,649,958,274,434,092,141,370,959,615,984,704,281,312,715,
472,127,217,378,063,094,625,220,517,142,925,730,857,974,930,948,933,165,851,
163,281,368,372,056,574,721,444,635,965,453,653,668,401,180,742,954,302,515,
757,027,459,586,240,297,255,452,935,258,545,488,940,216,821,857,621,036,576,
937,303,056,720,328,553,856,878,000,719,345,673,384,233,884,414,095,680,893,
065,781,982,312,404,387,441,104,200,263,933,783,698,944,518,463,289,441,174,
469,686,137,141,890,515,224,419,005,467,955,873,283,025,351,345,655,955,624,
050,297,972,844,556,504,133,563,740,412,363,287,980,578,129,585,590,956,908,
426,232,925,482,047,795,298,070,098,972,822,809,720,952,570,050,416,856,461,
954,565,837,982,951,631,455,997,431,460,162,451,422,220,893,855,470,901,291,
294,347,551,313,932,047,712,946,092,077,226,220,508,387,808,505,059,167,056,
930,506,337,320,813,621,646,882,409,627,737,129,173,314,303,343,036,116,731,
478,615,543,442,174,766,030,003,583,686,289,433,077,861,126,853,850,467,471,
824,500,663,789,516,232,128,437,093,861,981,195,098,585,628,142,207,144,780,
760,312,172,209,281,020,858,781,277,051,060,838,141,952,174,590,905,173,957,
140,828,905,346,215,987,335,792,350,684,982,554,298,294,589,632,299,751,969,
311,922,163,907,491,813,235,904,101,984,509,055,582,875,928,328,378,476,694,
484,957,676,768,237,961,727,906,773,634,864,056,995,310,788,189,124,437,904,
347,140,940,446,088,154,993,573,268,371,634,642,951,415,701,543,286,940,605,
450,890,624,098,184,305,848,993,223,771,918,146,758,225,634,929,242,081,213,
491,502,867,378,129,702,416,059,611,601,869,027,028,821,275,024,600,574,189,
660,331,009,059,735,999,289,522,343,628,651,459,005,615,903,157,757,827,232,
474,521,838,449,317,294,904,807,332,331,610,966,241,270,401,549,351,171,688,
911,985,875,305,999,083,260,454,320,019,011,089,822,520,250,970,415,722,776,
580,727,881,389,468,003,038,235,317,579,010,129,162,410,715,588,026,983,867,
611,308,983,355,945,125,751,171,984,250,861,351,648,981,864,899,038,891,019,
260,201,472,478,531,688,894,612,854,059,638,984,195,662,868,573,224,107,863,
756,025,096,391,621,764,809,842,448,483,691,534,267,066,521,316,425,000,239,
695,832,371,436,064,164,198,251,937,845,237,711,133,153,498,418,580,235,944,
315,933,269,036,714,313,335,901,541,786,372,230,560,349,671,976,326,437,112,
791,802,376,206,105,518,680,721,872,610,214,222,251,549,728,107,907,178,883,
719,223,668,740,273,634,973,779,574,667,117,672,187,294,253,595,042,962,572,
672,888,464,383,529,203,457,520,976,544,165,217,217,658,628,143,421,114,415,
046,730,563,454,318,767,369,356,263,751,948,553,806,744,165,866,420,249,046,
939,488,654,034,954,353,017,621,784,387,638,573,303,250,261,516,063,793,600,
438,842,240,142,096,533,489,677,208,901,894,903,656,019,710,970,605,059,218,
593,202,664,487,978,640,123,409,368,144,549,011,310,891,618,089,054,284,022,
559,009,597,697,700,733,178,393,236,947,565,484,580,269,236,170,610,207,146,
941,940,206,801,277,643,369,209,717,331,904,939,774,758,831,052,307,695,448,
727,367,190,276,387,990,679,909,653,259,970,801,008,645,575,954,631,151,411,
799,916,480,645,714,477,389,349,283,032,656,832,539,066,661,650,701,943,861,
171,139,557,651,098,554,517,435,827,386,476,784,537,336,006,648,020,166,214,
772,599,912,576,913,101,918,233,418,204,404,120,875,970,650,806,860,107,508,
670,810,253,768,758,823,749,722,662,809,650,109,427,049,754,959,881,294,904,
442,188,496,354,795,779,464,549,108,757,682,002,090,484,915,045,743,057,425,
298,340,337,343,575,413,709,085,209,408,548,496,026,748,890,076,998,218,425,
538,223,726,246,724,256,093,825,968,202,893,525,086,456,761,337,653,184,196,
339,977,042,606,482,589,490,583,084,124,677,631,193,738,069,137,439,756,082,
757,980,167,606,797,988,585,436,640,089,164,458,150,840,236,713,786,509,186,
989,750,159,449,980,100,000,211,362,355,519,402,857,074,510,023,996,140,753,
925,292,424,050,028,993,245,843,215,877,792,006,454,920,425,551,812,764,784,
564,101,696,357,263,622,004,506,730,638,875,253,189,966,285,135,098,246,770,
494,952,412,817,091,092,919,537,094,132,229,808,042,999,236,966,131,262,393,
218,273,990,236,576,253,911,671,317,043,486,076,928,153,213,251,191,750,428,
052,789,074,470,702,340,339,052,764,351,133,437,776,127,212,700,532,137,879,
004,450,694,432,748,487,228,079,872,641,347,955,898,942,096,594,252,960,824,
336,173,386,197,762,588,532,234,594,420,344,620,805,527,215,448,329,732,951,
740,805,176,855,633,027,135,494,303,904,114,519,273,011,717,882,282,211,841,
131,471,844,641,196,194,737,008,907,012,563,388,099,380,645,251,680,127,303,
608,021,475,366,696,429,559,746,407,522,575,778,746,032,181,161,505,322,859,
990,362,223,144,088,098,395,009,029,239,376,965,538,274,089,386,063,549,055,
049,506,728,250,960,997,244,314,165,848,177,599,822,033,824,076,703,974,272,
269,089,505,414,368,559,004,346,814,029,049,927,851,280,933,461,450,103,069,
052,361,237,036,958,912,881,598,345,069,266,211,458,330,639,531,209,142,566,
900,850,102,917,280,799,527,208,857,861,944,880,129,723,954,389,899,782,685,
889,993,190,677,213,972,609,014,935,320,570,307,710,192,305,281,311,144,811,
999,255,941,934,495,689,920,593,540,376,660,616,123,106,744,007,997,596,267,
540,061,471,146,409,101,069,704,262,907,846,843,551,234,630,223,619,215,073,
321,531,720,657,006,721,973,868,884,901,719,078,423,031,018,922,269,930,129,
859,533,467,165,341,832,264,931,501,199,657,805,210,437,538,566,648,996,729,
918,712,569,885,390,669,121,113,800,620,876,480,406,979,997,987,444,830,851,
753,807,317,024,707,389,884,288,683,902,858,651,746,614,794,522,946,904,222,
246,038,265,846,357,778,518,648,414,607,673,329,432,588,160,225,246,019,262,
992,026,276,079,339,030,349,728,622,096,638,719,886,846,764,228,259,124,659,
775,486,077,577,204,656,158,296,951,838,812,012,997,962,649,979,476,339,702,
832,970,613,680,175,398,943,823,297,443,554,938,403,894,828,979,616,808,047,
891,834,522,346,861,499,809,770,871,215,815,037,951,040,359,429,636,267,360,
736,152,466,017,511,541,954,943,456,702,728,788,826,527,377,651,852,669,710,
939,599,411,165,554,148,767,927,205,667,650,117,887,088,284,453,897,931,555,
931,303,642,618,676,726,089,701,613,861,106,916,464,526,928,160,444,374,136,
774,925,330,115,503,790,799,393,547,950,968,065,731,198,985,262,491,615,396,
702,392,219,624,679,263,189,116,493,548,908,770,090,074,134,073,101,919,728,
334,689,152,800,329,073,092,288,851,308,420,426,154,610,236,726,929,737,652,
941,287,602,192,528,284,021,235,228,351,126,205,030,227,924,974,611,008,659,
717,376,905,997,395,093,960,270,411,874,845,223,791,804,415,447,208,490,330,
603,463,557,731,845,749,625,450,169,119,677,518,316,885,196,176,351,170,888,
431,222,006,156,057,346,770,443,568,429,487,423,346,799,011,194,087,790,751,
544,819,503,640,055,532,545,999,140,548,211,269,558,874,102,824,712,463,843,
928,085,201,184,206,799,368,738,211,467,592,836,910,670,551,248,499,776,275,
744,627,259,552,028,879,620,442,542,542,757,966,800,832,888,518,612,998,107,
884,048,663,267,999,792,995,986,239,140,876,395,846,063,258,235,293,175,126,
146,799,831,574,754,111,574,140,129,752,847,093,824,573,808,774,391,103,434,
886,354,554,447,375,733,770,450,083,419,540,315,448,206,617,102,269,856,773,
460,309,637,395,245,614,578,265,538,010,122,104,461,842,791,937,530,100,155,
542,920,608,983,400,622,679,411,353,274,343,981,739,668,834,463,688,810,153,
198,073,006,624,474,796,461,047,500,317,644,627,445,744,791,918,275,515,293,
571,868,705,805,644,729,350,203,870,126,825,103,358,344,356,687,811,959,081,
063,377,418,080,588,743,257,088,823,197,436,554,804,639,715,216,740,217,035,
738,040,103,056,454,097,106,873,819,342,168,547,227,038,262,579,256,245,110,
430,411,710,225,649,411,079,627,284,595,820,543,620,377,934,909,719,581,337,
651,498,857,335,587,318,292,376,649,331,919,952,806,003,600,223,985,936,359,
035,153,101,593,903,135,203,557,370,462,875,495,095,371,122,125,851,752,552,
046,302,369,393,598,740,897,332,757,894,748,268,032,395,289,055,502,020,165,
735,319,055,092,071,089,217,452,113,179,598,956,246,932,861,344,675,479,715,
995,476,537,616,667,438,660,996,001,921,694,802,943,233,000,487,034,079,594,
725,518,119,021,861,033,864,954,123,806,231,578,386,484,233,216,839,295,299,
925,323,570,902,074,716,984,199,262,292,196,597,470,576,887,769,454,589,080,
314,624,112,904,050,515,161,041,747,700,154,946,466,878,888,710,502,888,320,
820,077,687,180,189,536,193,313,973,607,326,797,498,922,204,157,110,707,834,
650,702,185,004,096,528,687,135,868,935,759,628,441,541,145,495,032,536,717,
488,980,970,569,330,358,257,633,943,098,471,240,810,629,235,543,688,081,137,
258,686,596,106,871,071,902,710,324,903,193,905,140,168,811,199,860,273,448,
726,030,051,582,573,590,445,353,026,407,035,704,896,949,839,673,497,069,782,
400,094,286,751,239,907,976,290,900,063,745,049,278,395,502,416,153,511,531,
698,505,389,174,855,268,030,616,285,564,043,742,479,682,169,048,848,091,693,
176,013,429,248,200,553,557,701,606,312,630,878,928,488,148,920,115,662,860,
356,393,428,495,518,084,056,918,430,694,051,330,105,377,837,370,424,401,551,
542,837,742,139,806,541,951,365,043,603,441,490,252,348,501,723,858,342,715,
730,963,817,559,119,733,826,168,365,908,534,398,953,883,408,017,008,767,138,
461,924,527,735,420,363,615,952,744,160,817,603,641,263,873,296,438,528,007,
056,704,683,058,748,792,367,139,655,313,672,833,385,887,361,227,184,364,821,
532,306,457,683,086,028,426,653,662,727,895,638,105,583,341,058,424,599,118,
310,583,282,147,259,835,807,755,287,949,476,728,046,900,595,027,519,653,075,
190,587,310,867,382,746,101,119,988,069,372,599,593,342,536,528,808,358,132,
959,893,162,351,672,083,045,146,032,238,414,297,184,240,725,250,481,448,089,
735,043,489,100,572,595,480,720,728,363,615,845,178,786,861,495,356,626,214,
474,377,720,185,840,237,978,594,426,650,048,183,491,588,461,033,756,981,344,
229,176,552,535,419,361,337,304,958,734,279,967,800,069,945,467,219,779,036,
458,061,440,167,224,454,969,660,633,984,050,721,854,955,896,393,950,032,788,
007,866,089,078,077,231,415,357,299,310,843,108,957,121,021,156,691,753,722,
065,110,912,651,728,661,421,910,045,475,996,549,303,335,298,376,925,976,486,
446,334,401,759,559,823,295,813,576,324,649,327,863,997,458,951,711,577,494,
096,629,222,777,985,456,170,370,257,048,887,111,793,707,361,808,556,402,641,
428,969,946,975,848,873,363,123,129,299,953,773,185,652,607,299,154,671,972,
347,460,439,169,134,759,297,548,821,783,381,568,110,602,912,618,815,304,233,
079,718,311,638,987,054,623,186,174,133,497,320,379,125,263,003,055,523,495,
523,123,579,453,943,839,916,811,581,808,371,962,897,963,733,701,241,935,267,
101,121,078,838,242,104,216,286,290,393,889,536,627,980,228,403,569,937,893,
195,633,120,670,661,192,073,388,459,071,669,818,401,650,893,813,449,859,073,
653,522,713,784,392,801,058,738,898,802,025,603,042,486,869,606,656,055,453,
302,662,436,514,668,962,165,332,655,118,555,197,892,879,201,203,290,141,631,
257,365,678,645,251,969,003,300,878,625,728,407,229,706,105,256,451,561,589,
532,668,491,577,052,327,463,416,973,304,881,833,163,392,393,990,788,495,501,
098,524,178,411,336,466,166,042,762,211,024,929,742,723,833,071,035,280,913,
194,509,278,892,460,625,769,496,254,267,172,928,268,911,887,513,814,389,257,
244,951,896,733,858,278,977,520,639,356,806,298,913,636,289,765,167,732,460,
495,478,206,760,254,313,882,209,394,917,061,753,435,356,602,755,691,210,280,
243,048,715,640,432,750,292,972,104,201,120,351,173,954,650,077,973,730,689,
858,107,539,249,112,651,673,525,607,164,875,671,673,928,175,074,333,293,816,
582,519,698,059,186,949,770,258,911,377,731,784,598,329,681,257,145,106,281,
062,155,227,425,383,403,608,177,743,397,227,055,029,866,371,789,603,212,473,
507,887,956,362,474,879,171,777,328,274,619,375,293,336,993,476,549,933,317,
822,585,707,604,281,706,151,963,100,811,349,476,455,224,652,657,352,459,884,
263,812,656,274,893,534,421,995,975,989,903,108,116,156,458,492,800,270,470,
206,695,884,555,866,809,874,791,566,659,935,408,790,377,955,149,525,146,245,
985,797,775,027,564,164,524,927,247,904,999,450,571,937,621,682,931,889,234,
554,328,695,167,039,787,364,572,643,962,088,557,687,885,653,167,120,782,353,
550,412,271,952,709,125,437,755,591,916,539,452,403,762,078,154,702,510,429,
880,081,030,871,804,163,744,841,195,959,778,045,374,802,022,674,093,003,380,
402,126,014,858,659,619,744,961,482,985,974,408,327,819,665,282,409,851,020,
537,456,607,463,847,476,334,522,640,636,116,644,721,334,289,745,023,478,318,
939,801,965,181,830,875,367,171,373,083,293,813,389,149,383,952,313,105,340,
470,253,577,066,889,793,014,520,172,064,921,616,188,286,897,086,388,459,751,
240,708,209,218,452,846,488,442,097,250,412,601,674,242,048,544,559,688,640,
411,030,266,038,482,540,109,300,627,110,695,014,268,746,786,034,875,492,303,
271,716,717,513,588,177,748,540,466,749,382,012,890,102,470,928,391,110,407,
316,296,850,454,423,606,232,965,709,789,715,135,018,707,035,415,155,083,244,
899,932,727,589,288,633,814,546,291,130,169,036,668,669,540,289,684,128,841,
377,130,896,664,272,796,038,042,606,635,571,216,952,596,892,789,740,686,382,
866,803,017,800,900,488,136,882,794,181,512,437,126,642,151,678,460,530,479,
083,289,729,162,596,544,137,932,971,047,254,057,773,302,608,064,268,213,650,
698,632,448,549,271,999,504,598,473,859,990,907,145,541,700,409,617,017,459,
747,517,189,549,250,406,264,352,337,513,233,514,170,351,186,667,770,524,759,
268,352,099,563,933,387,340,462,346,825,785,666,483,205,214,629,887,518,036,
096,832,612,029,295,632,098,337,418,508,287,955,092,169,253,392,873,501,511,
972,883,819,459,543,391,758,002,298,156,530,656,126,366,090,864,548,908,468,
796,539,609,608,481,916,678,390,842,678,652,309,779,918,195,412,388,861,586,
288,983,137,087,246,628,779,029,062,197,703,799,519,337,541,296,539,747,037,
342,686,799,409,041,750,212,185,342,134,423,466,296,945,960,481,894,360,423,
481,580,296,892,916,151,862,991,149,607,063,719,506,663,712,589,326,888,984,
131,220,185,104,625,681,923,382,543,583,952,856,776,657,010,602,696,252,226,
695,729,832,088,654,545,991,946,411,697,598,756,013,809,557,879,866,881,220,
703,624,738,922,155,339,812,501,528,230,447,245,850,228,000,539,315,674,944,
022,761,214,408,044,362,239,075,674,268,866,944,919,639,233,828,779,178,548,
382,792,670,361,606,309,899,216,585,361,450,033,110,862,001,119,486,596,630,
260,925,878,407,094,738,403,647,602,084,186,428,341,206,607,826,389,856,447,
523,606,934,292,821,624,654,858,813,017,778,959,246,498,257,865,627,877,708,
401,434,777,014,435,805,790,707,356,011,921,632,139,105,410,642,654,979,103,
075,319,063,547,730,833,969,819,843,840,826,332,785,628,985,787,732,538,040,
298,346,331,892,637,103,019,633,065,656,176,411,466,309,195,950,022,271,089,
214,754,444,160,046,385,919,669,436,079,574,315,626,581,324,194,133,204,766,
960,301,022,873,631,888,800,750,314,700,784,443,803,801,139,360,100,788,124,
782,001,304,924,959,911,579,854,163,113,321,408,899,253,000,174,319,369,264,
429,973,100,955,585,445,120,520,948,169,568,653,145,339,689,441,721,915,672,
741,316,491,548,983,790,726,404,932,201,108,072,824,306,988,090,072,826,441,
621,367,846,407,692,163,214,306,421,036,206,291,106,843,985,156,037,607,964,
484,045,020,590,924,332,387,881,473,846,770,192,229,842,445,948,443,044,026,
923,144,861,306,375,561,705,205,975,951,793,338,950,008,056,097,185,491,186,
175,838,574,021,402,217,640,874,260,886,402,123,502,603,916,564,463,450,744,
928,901,350,439,161,935,854,459,799,790,727,017,742,337,578,904,839,276,073,
438,704,192,394,483,863,136,208,046,229,200,146,436,739,247,813,715,724,674,
327,209,775,100,879,050,185,243,533,758,028,732,006,587,768,144,920,107,264,
061,532,442,116,224,633,016,502,227,677,755,508,648,846,495,232,012,869,230,
727,757,510,681,524,372,370,735,412,725,538,457,462,924,347,616,332,230,125,
035,471,444,722,092,879,928,915,506,793,268,706,560,013,553,699,403,102,452,
078,458,062,397,773,811,366,079,201,193,247,870,178,244,378,300,046,389,575,
082,660,406,543,829,031,788,157,675,222,185,941,990,750,986,397,761,354,958,
950,441,454,698,886,417,687,673,979,015,839,790,867,072,693,892,389,487,525,
418,823,891,894,454,490,304,826,343,663,675,531,781,463,256,271,160,238,384,
880,016,678,159,578,731,081,523,366,176,768,481,844,884,052,035,296,774,082,
835,676,146,971,340,933,913,007,194,068,686,633,347,664,120,540,843,579,090,
462,787,236,229,973,791,228,628,402,398,547,439,780,790,991,890,432,677,226,
899,704,179,838,908,339,408,321,030,880,048,536,062,914,021,953,054,527,635,
353,136,624,539,564,701,132,460,531,407,305,351,131,496,395,023,021,419,202,
889,581,474,122,907,129,771,905,193,300,020,385,524,999,238,206,058,195,765,
234,210,961,648,222,140,347,772,560,489,752,109,161,371,495,200,746,843,536,
766,041,936,230,441,774,925,007,112,222,957,493,809,903,558,638,507,793,132,
636,170,089,545,462,475,844,631,749,806,338,268,109,259,929,550,056,056,102,
444,685,508,231,472,054,063,109,461,517,379,823,136,037,023,362,633,839,191,
316,234,174,416,733,589,258,528,766,827,552,212,194,887,665,211,938,259,018,
086,812,784,392,141,445,457,753,382,237,414,280,554,604,138,370,619,032,463,
550,282,239,431,366,659,425,685,170,055,267,980,759,317,453,340,471,346,250,
937,284,542,450,369,202,532,637,394,516,669,448,743,301,345,266,974,372,750,
639,296,761,439,812,222,005,592,367,010,478,193,094,174,083,667,707,747,021,
338,594,959,636,217,653,873,669,273,114,270,262,179,241,051,891,300,719,592,
241,358,945,638,125,979,904,998,166,424,691,768,283,775,406,884,833,621,508,
386,991,651,519,582,372,789,848,790,549,242,792,879,159,437,281,805,884,444,
632,763,957,254,595,308,988,889,556,997,036,454,820,668,962,153,528,618,259,
805,008,713,867,034,304,190,592,183,841,936,656,378,839,443,053,310,432,916,
043,123,152,912,091,248,483,218,988,824,681,484,185,383,491,617,076,466,600,
523,338,769,711,304,491,433,057,781,861,761,909,905,323,196,631,784,903,881,
390,255,045,624,278,917,126,494,144,441,106,764,581,155,863,119,206,266,713,
337,360,290,133,639,095,048,970,336,149,346,819,813,173,745,136,052,334,799,
847,387,022,936,466,505,359,644,626,843,004,175,917,330,954,067,688,472,960,
990,785,613,875,872,150,733,238,461,694,908,779,763,780,960,495,500,986,389,
831,431,952,108,003,699,217,232,607,038,575,849,459,677,910,076,380,301,369,
745,953,940,601,701,507,110,929,336,016,920,703,457,364,907,092,789,234,613,
181,229,218,514,083,139,200,090,118,063,210,066,635,794,459,334,295,785,846,
457,793,326,534,049,553,476,685,204,160,586,499,991,429,836,916,233,478,129,
152,769,656,529,876,673,862,396,326,402,026,164,905,211,067,310,315,935,745,
417,486,537,312,472,548,058,268,204,211,499,608,398,356,107,801,883,503,418,
985,764,956,797,281,375,922,398,802,722,957,935,985,310,222,192,295,136,843,
203,753,964,790,119,790,959,761,757,163,446,429,306,486,359,557,517,453,757,
898,506,369,280,041,744,376,358,785,399,814,542,994,191,313,414,532,628,074,
035,117,151,238,195,274,267,003,456,866,808,753,924,017,809,761,665,923,623,
557,837,905,524,318,485,119,073,357,440,400,834,774,424,414,045,382,175,297,
705,126,888,453,862,071,430,666,205,690,769,493,611,634,766,772,559,686,144,
559,470,969,566,938,227,951,715,636,537,163,954,509,812,386,157,363,097,936,
400,674,024,848,193,237,043,955,939,256,978,715,597,374,182,236,664,149,449,
945,366,905,962,106,011,712,578,555,323,982,832,688,122,727,819,791,593,903,
935,089,884,026,224,474,314,123,230,948,849,361,857,886,499,402,871,977,097,
131,820,679,418,267,360,899,894,953,279,136,669,598,999,213,576,470,684,877,
074,252,106,397,600,409,834,728,282,768,412,848,259,188,732,764,839,684,370,
747,990,617,567,000,286,447,121,732,598,533,345,143,487,819,716,603,605,370,
837,059,444,832,134,734,311,795,079,648,046,892,509,264,387,604,666,850,182,
597,250,687,783,589,291,581,036,978,522,615,966,769,756,276,198,854,203,170,
592,686,014,823,144,640,623,288,745,254,291,403,105,197,348,270,665,562,566,
950,466,230,532,676,683,589,947,128,818,089,834,627,675,418,036,962,023,992,
690,828,656,621,402,456,566,359,453,097,786,701,567,193,658,961,759,563,661,
647,324,626,283,418,553,211,276,988,967,731,335,657,271,794,143,146,009,180,
979,363,374,367,113,315,075,002,190,471,689,395,445,622,583,932,053,511,290,
155,423,441,974,705,972,564,064,179,608,801,201,753,042,218,745,366,244,877,
569,687,472,288,899,559,126,693,973,776,172,385,343,818,803,452,003,473,164,
508,526,239,406,997,399,845,366,880,374,270,433,588,798,955,832,835,126,889,
200,262,143,884,898,719,632,548,925,243,529,253,986,887,902,687,659,433,256,
845,489,597,337,416,911,381,493,370,364,106,520,921,163,605,880,730,149,528,
190,944,093,254,643,623,026,687,121,377,847,565,192,170,595,587,941,427,915,
157,542,478,343,292,350,656,576,743,198,925,197,912,692,980,805,017,002,107,
898,209,671,679,202,521,297,416,037,400,712,421,611,830,608,332,751,994,790,
667,767,829,211,559,101,900,676,568,640,141,381,301,633,822,553,932,780,610,
945,484,364,211,527,183,576,457,400,143,747,286,154,468,154,480,198,467,441,
110,660,184,965,555,117,396,668,393,277,424,806,816,102,970,817,241,817,949,
989,143,927,693,659,077,457,772,358,033,758,823,402,042,627,414,664,524,713,
561,275,664,620,614,808,007,671,804,587,606,780,857,591,865,883,828,527,595,
177,774,698,162,010,688,106,912,448,501,835,238,289,116,544,075,127,104,901,
664,990,901,406,961,250,852,229,239,793,238,446,380,244,949,661,490,195,039,
343,970,056,068,919,944,012,846,977,625,582,297,110,922,775,568,932,989,216,
725,195,691,002,767,072,001,213,084,039,388,040,216,093,311,834,448,530,497,
671,101,556,582,750,967,575,082,685,063,106,978,984,302,235,679,862,390,569,
728,563,695,050,384,440,158,183,152,042,902,769,563,318,723,376,877,896,704,
356,439,284,337,708,903,250,489,416,174,357,821,451,228,470,268,249,502,978,
294,191,592,354,835,845,359,388,686,612,696,528,974,986,084,218,311,850,170,
964,735,842,440,538,073,803,259,246,445,253,155,617,752,027,124,912,937,408,
416,611,727,438,555,102,376,550,690,601,164,996,080,462,458,572,721,201,276,
628,751,925,059,021,004,885,097,735,525,399,898,241,240,635,002,684,357,113,
747,141,382,931,731,351,876,222,028,724,394,939,403,120,655,574,337,440,739,
335,843,595,957,418,532,168,439,328,383,722,317,395,886,738,174,618,372,377,
326,077,272,881,454,825,563,366,008,084,314,904,423,247,769,611,675,568,322,
474,292,488,271,531,854,905,849,175,308,001,380,490,020,519,121,070,822,489,
105,750,479,613,484,789,135,016,199,547,677,345,875,366,431,313,743,152,726,
752,731,857,960,168,204,393,195,708,527,736,519,274,430,456,258,158,433,227,
519,961,685,832,609,409,477,191,429,628,168,655,181,436,254,959,206,036,032,
459,165,794,212,085,629,463,319,512,364,589,007,800,406,266,021,070,162,167,
349,174,651,064,616,798,732,360,207,539,056,896,846,587,201,140,612,744,538,
783,338,401,093,255,339,281,059,566,898,489,018,001,110,542,581,503,829,543,
497,402,577,657,540,571,802,826,288,523,239,524,476,700,385,750,882,088,601,
685,753,872,384,985,985,759,445,943,211,604,474,224,095,098,697,414,706,263,
230,671,378,398,870,943,546,016,282,041,106,611,071,015,348,596,897,767,057,
377,274,854,695,252,069,005,017,283,211,525,653,183,366,425,867,920,039,532,
903,836,849,385,305,313,900,421,110,860,524,103,489,700,973,187,451,398,088,
856,966,688,294,645,413,052,570,827,261,020,294,053,688,234,552,545,360,405,
425,665,796,403,394,216,014,791,391,408,099,089,707,889,213,433,628,284,210,
992,858,351,224,776,474,452,591,464,858,695,083,768,174,477,331,780,631,493,
926,495,112,734,805,051,368,044,339,414,161,499,894,004,209,055,002,363,109,
563,679,465,097,380,099,212,797,521,540,451,738,292,240,997,707,822,495,109,
519,747,140,635,531,153,902,644,349,435,599,303,052,434,108,205,155,881,070,
181,009,885,888,912,004,708,259,715,939,406,372,502,232,670,723,908,545,052,
095,859,945,064,234,773,006,525,576,993,977,345,370,850,615,832,319,431,621,
640,480,244,779,118,331,211,717,348,189,244,581,555,230,948,881,551,353,567,
744,416,577,269,694,312,126,303,071,778,257,091,889,269,042,053,559,150,470,
502,791,106,358,393,996,175,205,216,474,410,467,069,296,920,729,691,498,849,
381,774,469,055,037,181,181,128,605,959,294,903,942,338,900,320,642,637,129,
577,821,442,230,074,740,974,212,448,083,130,110,143,973,168,407,259,419,550,
328,041,817,638,044,267,579,824,964,315,730,323,135,360,688,780,181,296,474,
043,575,267,977,880,480,679,282,227,624,078,721,038,777,088,292,658,085,728,
116,767,260,573,280,662,735,275,133,604,924,776,254,697,290,332,960,010,796,
305,551,571,350,049,582,117,203,371,758,519,056,553,056,097,588,439,864,929,
954,026,411,619,435,865,521,570,858,455,514,309,132,069,665,987,679,487,610,
773,593,580,452,925,484,616,137,125,943,724,469,769,136,162,868,200,373,807,
126,337,295,264,162,946,465,546,192,809,930,664,483,579,321,231,914,102,771,
018,734,197,556,865,616,433,173,087,333,795,731,437,346,248,821,812,419,987,
613,838,361,179,036,541,017,302,947,907,251,686,869,875,198,496,133,537,885,
627,836,433,357,954,342,491,679,724,638,114,501,389,837,554,008,309,102,791,
925,370,735,047,906,446,425,034,601,486,087,366,857,169,847,261,994,139,238,
090,118,473,362,770,864,164,370,022,807,840,038,559,878,806,974,369,133,251,
704,919,961,456,355,845,698,979,720,439,098,178,019,380,649,681,306,999,831,
682,641,605,326,649,561,703,231,443,592,890,512,555,448,943,347,017,515,604,
508,350,018,040,376,413,077,129,302,670,394,043,942,237,899,622,752,041,255,
231,714,142,753,364,661,550,948,361,624,094,316,714,072,992,447,824,399,492,
744,115,247,609,973,297,642,671,068,852,765,196,682,993,914,099,984,675,802,
550,052,651,159,569,656,339,355,410,842,331,721,603,277,486,150,948,703,868,
452,191,089,420,359,752,106,785,992,566,806,103,845,571,922,381,479,141,851,
773,421,575,608,633,316,321,845,144,329,878,990,088,468,460,933,095,471,179,
885,392,640,410,312,954,843,823,737,082,167,243,759,047,102,779,986,489,380,
538,436,495,560,599,620,261,447,355,950,649,722,444,819,521,446,813,107,705,
700,841,975,524,907,019,809,085,938,494,494,619,847,299,282,532,820,823,477,
261,146,715,759,829,875,648,494,517,307,977,879,346,969,194,369,985,889,481,
868,810,779,857,087,353,081,561,060,458,602,902,276,635,463,475,038,197,500,
380,578,495,924,817,485,012,724,940,139,008,930,028,475,486,839,078,233,370,
314,283,378,269,756,603,929,584,230,941,326,514,930,803,947,551,811,055,611,
838,445,187,242,071,586,852,637,778,333,785,822,242,418,823,613,378,581,351,
699,698,671,194,410,397,349,134,586,510,343,957,104,619,187,287,139,478,413,
023,654,760,165,106,484,961,571,920,471,028,259,103,117,557,685,134,666,657,
597,757,225,836,936,296,913,175,711,822,578,506,514,733,967,898,963,576,098,
758,893,421,646,611,766,098,404,614,222,232,873,316,425,272,838,095,815,261,
354,587,215,651,068,307,813,520,004,362,775,257,731,936,194,631,662,236,495,
458,540,829,771,335,079,009,046,130,706,414,327,494,186,259,657,483,321,833,
817,925,439,795,934,378,963,139,319,618,361,105,338,352,440,758,245,846,797,
627,933,480,281,146,488,174,654,467,440,669,516,114,303,670,509,688,884,846,
875,984,164,099,875,278,387,998,883,890,437,882,545,881,229,900,630,322,672,
609,890,220,417,354,223,379,107,234,900,943,052,301,576,803,336,291,746,052,
760,252,210,510,454,458,984,022,282,232,318,989,306,318,634,613,615,297,803,
302,006,842,494,848,712,414,672,804,586,331,440,948,559,623,320,740,193,860,
676,318,495,448,288,667,190,604,028,495,094,787,155,188,682,144,156,798,304,
408,074,874,454,639,223,179,400,015,696,822,165,788,263,660,203,651,777,336,
022,536,334,496,786,036,684,279,719,991,060,928,453,189,152,729,216,654,204,
155,351,867,511,107,878,244,309,360,545,481,409,304,764,090,493,837,779,096,
797,980,973,490,329,147,984,330,073,421,763,234,335,973,892,296,876,157,139,
307,518,379,679,879,901,838,145,533,971,932,351,115,303,159,842,326,792,624,
587,038,250,094,642,395,292,046,636,301,144,392,460,687,045,585,498,892,263,
964,319,836,243,848,309,083,424,455,094,688,902,815,603,540,658,640,419,472,
810,788,811,533,393,929,697,366,381,631,570,053,237,459,910,530,542,635,492,
192,047,985,553,121,952,994,176,335,212,102,022,736,658,811,169,337,563,031,
210,606,901,655,853,611,877,428,095,990,921,414,862,445,590,749,807,410,305,
630,072,888,358,906,485,534,651,983,810,637,437,789,458,039,015,013,395,097,
264,463,018,572,568,408,554,369,019,277,210,183,268,106,151,862,850,059,811,
791,904,720,871,712,422,031,513,189,100,365,917,349,074,054,756,519,407,408,
334,381,900,922,787,884,067,651,277,034,889,670,058,927,330,786,363,765,069,
811,708,551,051,521,720,815,794,186,888,349,218,134,723,033,800,399,411,958,
361,912,661,016,080,758,583,346,199,492,128,294,451,384,152,641,905,329,939,
706,801,766,542,607,571,699,733,167,730,263,689,571,463,096,242,692,070,159,
461,025,689,613,642,527,882,552,778,348,480,900,200,970,279,663,061,703,582,
717,446,015,222,201,168,973,017,639,646,387,862,574,624,854,359,789,051,235,
854,825,696,979,575,415,181,387,727,413,001,717,933,540,748,511,500,289,949,
813,986,724,279,118,822,847,681,032,223,235,848,359,846,563,237,850,221,316,
411,504,219,894,809,197,902,972,249,914,216,092,532,604,728,592,408,951,672,
810,594,027,950,912,563,958,319,274,516,726,888,925,077,529,187,981,889,162,
328,009,719,552,639,225,829,650,218,078,302,166,662,176,800,068,468,262,477,
241,158,670,015,839,165,732,107,098,778,712,387,370,694,228,611,599,411,592,
572,313,013,008,751,335,004,463,245,091,748,199,681,705,882,271,627,505,933,
764,155,593,585,960,135,971,668,824,606,759,311,378,059,382,212,566,976,829,
151,359,288,473,042,992,842,506,851,054,510,322,587,109,997,919,735,224,689,
435,537,029,782,094,016,812,387,945,801,580,543,555,245,918,148,306,168,045,
872,127,138,450,169,851,545,363,269,667,634,549,696,741,897,878,120,213,895,
472,716,289,116,007,619,603,731,146,198,404,472,625,078,978,867,513,365,195,
062,272,594,184,651,859,709,873,473,308,278,341,749,998,920,823,218,863,719,
182,195,461,025,954,101,946,301,381,658,817,932,319,419,510,307,635,567,263,
331,480,360,077,333,035,505,141,650,895,508,823,111,671,938,264,479,895,616,
254,495,059,110,703,649,244,563,454,904,557,562,364,495,331,250,928,923,332,
272,789,763,476,568,170,219,978,129,402,270,289,664,951,093,482,738,612,720,
900,545,045,708,379,699,181,694,712,583,899,229,420,489,175,282,783,569,811,
838,645,029,775,564,704,639,686,316,697,888,176,717,886,497,488,840,319,553,
222,630,688,399,314,311,032,232,168,806,168,374,426,647,890,989,456,185,442,
098,961,371,846,507,207,788,720,414,546,021,889,238,583,155,362,812,938,812,
133,439,944,521,688,670,843,333,385,771,785,903,084,302,411,811,295,366,225,
000,021,204,536,996,682,162,324,025,276,281,084,760,956,546,924,751,761,019,
668,805,844,814,164,390,292,766,709,483,185,954,686,804,372,301,107,803,141,
554,153,758,827,511,800,958,397,600,476,243,822,549,600,699,373,227,251,497,
674,911,522,360,471,449,066,375,728,968,795,701,327,982,692,908,540,980,912,
116,626,453,214,853,593,032,105,682,268,522,402,574,002,713,709,329,868,272,
748,192,156,001,446,721,856,403,330,335,335,945,359,854,257,677,137,648,888,
650,892,534,176,461,504,600,084,686,158,800,012,388,858,763,098,008,419,830,
113,036,361,382,062,243,812,088,069,323,704,912,178,404,336,984,608,690,531,
673,770,252,924,062,765,308,940,070,406,371,643,963,369,187,143,943,250,375,
197,674,327,781,407,336,719,567,460,707,966,873,299,295,503,756,890,228,376,
182,752,507,183,921,521,247,382,502,032,698,241,041,743,285,053,631,479,105,
663,957,001,914,394,787,179,191,219,943,682,855,216,426,886,072,106,298,315,
839,331,389,469,192,124,963,632,321,206,830,728,253,432,166,219,452,679,959,
617,075,038,061,853,882,738,882,771,034,165,620,529,192,681,336,882,857,422,
283,959,206,785,277,593,246,863,003,694,446,571,443,797,591,749,612,782,732,
780,775,228,037,204,788,818,168,393,792,714,871,503,415,084,770,518,927,133,
121,149,406,113,953,313,213,249,217,445,104,871,245,824,949,384,448,937,302,
081,798,123,784,164,558,961,624,995,569,499,455,604,289,534,264,708,927,766,
033,492,397,307,900,485,022,857,192,574,783,951,263,205,940,119,312,882,912,
885,447,625,688,817,298,431,673,092,745,919,244,396,325,757,969,325,545,765,
438,030,979,615,811,867,294,422,624,390,381,385,800,982,917,084,239,593,595,
266,216,898,402,372,016,873,985,122,021,920,784,932,288,675,151,076,456,130,
630,775,386,952,268,771,483,432,396,423,429,546,774,699,047,896,987,440,036,
507,126,681,080,746,644,946,730,050,529,559,079,939,782,121,934,188,748,502,
280,032,113,083,987,046,885,582,210,793,692,207,120,232,422,251,329,521,495,
329,017,671,422,789,758,469,479,624,914,750,656,363,412,171,325,556,675,571,
319,627,365,429,251,461,790,582,742,235,717,484,817,598,619,944,501,619,669,
802,265,969,635,638,836,876,000,680,256,893,070,109,192,591,729,171,149,064,
143,486,969,194,081,437,218,115,641,807,801,616,673,256,823,087,677,867,792,
396,582,938,822,796,645,273,318,168,996,938,367,607,493,162,926,965,284,981,
523,364,634,756,315,737,103,238,335,636,327,884,684,318,622,498,669,670,920,
643,397,221,599,737,316,246,597,852,385,550,383,871,083,040,676,737,717,331,
829,687,275,629,201,350,145,957,920,422,943,388,131,802,106,428,662,000,354,
573,262,408,138,824,553,738,755,086,124,177,864,733,862,397,431,356,244,619,
020,705,056,754,550,140,207,898,532,760,754,892,528,030,926,921,358,076,258,
904,328,119,926,487,386,710,941,460,756,367,362,652,927,287,279,557,490,489,
858,660,697,105,183,067,728,663,789,805,123,981,092,369,441,360,154,788,254,
017,233,619,955,494,773,917,417,987,842,618,994,494,994,143,075,135,984,977,
916,078,910,901,872,718,545,709,845,670,140,323,007,324,479,553,594,863,956,
292,414,037,840,317,465,823,862,679,028,153,574,257,609,876,199,226,523,824,
124,106,588,522,507,654,531,976,139,918,913,278,351,174,058,400,700,726,991,
924,893,267,550,482,890,543,379,409,903,018,379,855,437,728,426,769,763,342,
182,937,473,359,106,746,106,584,974,905,956,609,380,918,162,337,030,179,889,
815,024,952,588,155,939,409,825,386,040,917,773,538,073,969,848,067,687,743,
821,223,664,845,145,821,771,237,370,490,942,181,524,941,128,248,308,615,685,
933,886,722,566,146,341,852,053,356,952,329,092,464,267,037,605,170,240,232,
170,261,930,878,247,168,127,053,584,846,613,040,638,413,327,213,495,938,112,
801,622,891,884,741,584,843,313,586,501,527,245,840,388,326,929,931,371,237,
528,553,511,124,766,291,471,244,495,939,580,654,314,920,556,640,672,106,160,
009,925,133,341,395,858,036,781,784,007,587,521,608,444,712,845,059,497,795,
365,601,448,614,622,382,231,909,359,552,144,462,689,017,080,294,254,347,069,
323,891,290,427,101,249,168,525,492,129,769,376,929,007,588,004,510,921,937,
061,756,780,724,389,732,526,207,063,196,362,153,959,613,933,241,902,754,650,
881,816,956,117,012,680,760,399,457,921,360,634,995,268,250,999,965,538,791,
972,072,670,411,347,810,108,727,729,873,676,304,848,232,267,384,997,023,274,
533,046,903,495,886,997,544,457,479,974,912,315,814,029,640,730,006,230,034,
745,952,374,428,878,969,779,519,426,916,552,920,484,389,181,957,464,129,288,
493,197,195,603,994,631,821,540,362,932,853,338,457,067,323,310,425,643,519,
903,353,289,445,980,795,674,284,542,580,326,835,827,464,209,798,904,287,533,
352,627,099,215,234,868,157,673,610,225,919,406,842,775,556,124,997,921,179,
225,636,673,589,735,464,158,067,451,958,224,743,259,576,462,361,047,400,812,
439,075,339,524,241,845,355,222,126,839,992,261,872,091,867,043,449,425,395,
893,373,215,536,581,140,668,991,868,496,522,397,300,303,399,196,715,124,666,
136,546,766,356,374,793,652,658,807,250,822,538,568,462,052,176,187,898,000,
433,768,509,236,866,656,958,701,341,157,435,231,882,307,029,871,613,511,490,
863,758,687,899,201,407,269,500,939,818,050,561,344,045,741,474,057,480,993,
765,925,668,669,233,187,120,141,580,714,105,447,202,834,302,463,947,895,923,
372,910,241,803,727,679,739,598,481,834,493,869,628,050,216,289,959,855,103,
933,600,766,759,367,921,960,695,832,928,801,566,563,717,491,567,637,018,840,
726,249,006,631,813,860,180,328,557,007,092,428,569,384,114,481,731,343,568,
513,469,095,811,573,203,914,131,692,859,579,900,811,285,338,490,796,442,429,
854,987,161,181,068,280,440,457,220,185,533,499,468,551,365,776,305,522,199,
962,996,091,438,813,375,749,752,982,988,373,249,180,721,016,683,443,287,567,
847,818,086,117,594,388,253,517,015,708,719,751,185,672,021,337,882,293,807,
016,160,513,979,337,133,523,411,402,466,076,040,523,619,910,644,409,325,670,
006,091,553,417,591,777,875,235,360,169,595,802,017,489,217,366,066,086,010,
512,621,964,297,760,806,459,545,405,337,504,076,976,216,098,491,589,262,387,
467,377,133,066,778,768,451,105,947,408,589,455,584,575,355,759,131,404,881,
028,601,720,054,670,010,451,248,584,166,540,504,949,532,157,683,431,387,214,
488,482,414,311,556,544,710,604,514,737,735,537,813,340,396,927,694,324,652,
881,260,993,402,609,028,665,238,339,145,666,712,252,833,621,232,900,002,241,
546,628,102,609,439,746,426,147,803,909,110,998,996,467,206,050,147,460,650,
344,973,249,452,179,640,613,662,635,119,379,109,906,672,937,066,029,875,923,
087,390,203,395,375,869,237,407,867,589,839,898,220,769,108,646,414,213,236,
799,494,030,614,669,771,152,421,249,297,500,356,843,204,223,321,991,492,535,
452,869,208,753,719,433,110,360,330,349,772,092,396,875,924,116,385,184,029,
343,230,309,985,539,156,440,454,489,612,455,274,462,300,906,849,476,030,367,
282,685,400,912,095,224,466,857,396,231,213,593,927,093,395,959,591,637,023,
593,433,158,383,617,113,686,713,844,665,518,342,402,055,783,068,630,393,681,
800,127,707,470,387,227,225,328,418,799,901,763,996,265,846,103,392,498,656,
261,089,860,078,306,270,610,525,524,349,084,600,803,974,212,502,177,651,053,
626,809,866,224,872,815,842,821,159,730,802,489,695,258,150,085,326,479,034,
077,433,682,715,976,765,930,306,751,465,634,995,660,168,486,096,976,426,336,
797,748,145,784,130,362,856,478,411,343,029,916,993,506,882,915,537,449,458,
495,842,109,500,354,105,351,254,921,243,308,814,570,803,729,311,886,680,730,
690,967,127,934,553,233,196,142,606,318,475,440,338,845,231,149,722,808,617,
689,733,221,629,120,918,233,250,134,247,231,623,694,722,218,346,007,711,277,
525,248,953,825,584,051,737,568,806,022,418,746,547,456,293,486,740,510,913,
556,878,001,599,449,482,869,784,324,465,680,214,960,407,000,294,715,590,494,
963,524,882,933,876,493,081,408,271,723,485,279,959,083,964,782,480,113,267,
505,605,498,352,441,726,297,020,761,458,258,549,364,868,857,361,060,609,833,
497,111,399,155,962,409,864,541,007,390,204,545,266,819,359,874,433,561,740,
787,928,162,219,806,921,715,677,616,354,212,842,224,801,270,384,324,260,564,
753,359,942,160,091,651,540,923,483,614,308,284,426,693,093,154,617,577,032,
069,138,240,025,881,721,000,534,060,614,470,781,799,059,499,916,513,889,938,
908,130,969,509,304,341,173,956,755,118,376,677,878,957,010,538,789,051,025,
174,575,766,624,256,929,959,103,141,522,626,598,841,413,919,470,516,335,161,
951,235,713,189,870,392,797,352,184,234,484,869,551,204,965,221,850,568,013,
168,712,838,056,274,203,477,227,501,861,485,441,670,785,095,990,184,685,611,
941,860,081,657,948,054,532,871,400,401,364,915,784,918,347,120,079,822,668,
848,253,366,438,251,442,998,617,648,891,607,488,736,946,482,876,719,236,296,
623,865,825,057,467,934,717,701,577,324,430,374,161,627,849,945,171,788,062,
238,534,591,842,852,521,170,734,350,775,388,636,603,405,232,354,421,719,870,
139,948,951,461,234,982,262,898,582,708,621,575,759,729,660,879,174,974,785,
066,673,326,198,622,156,745,631,021,296,231,872,059,366,896,456,786,388,915,
115,853,955,483,083,781,980,889,336,725,835,969,029,733,427,040,946,274,016,
343,099,922,675,775,773,703,586,959,148,328,864,961,454,306,030,708,842,924,
567,536,124,564,669,506,550,278,028,665,958,325,625,549,958,334,225,919,757,
780,971,223,337,972,920,863,026,413,490,150,601,371,983,939,589,813,838,672,
582,190,859,446,024,465,126,331,163,972,072,926,158,391,733,292,323,837,407,
307,481,306,592,049,464,537,063,904,181,252,799,227,852,864,309,315,432,875,
833,406,455,341,566,186,757,535,297,120,511,538,649,778,165,923,205,911,110,
964,215,077,386,309,561,781,254,323,792,250,263,760,785,480,056,210,360,642,
503,377,512,568,829,657,302,470,098,880,826,718,326,356,514,495,074,597,216,
885,034,876,400,188,972,159,566,232,949,194,235,400,164,394,550,545,726,607,
093,938,641,981,003,891,711,330,804,337,772,540,658,428,108,861,661,796,614,
142,768,161,142,347,490,135,144,678,058,714,262,075,309,178,797,121,268,427,
224,525,559,198,130,075,272,460,058,630,192,597,430,594,800,505,211,877,509,
766,836,554,991,060,586,245,982,541,095,032,581,612,306,713,684,473,011,477,
942,878,839,799,800,744,562,742,247,206,750,469,187,007,277,555,125,749,426,
052,877,568,402,748,100,395,696,372,960,834,832,256,400,910,232,276,700,934,
969,341,705,745,499,667,319,903,766,003,557,704,419,471,826,137,441,208,192,
365,670,444,216,056,133,336,207,924,025,403,391,416,916,215,371,722,367,473,
885,487,479,737,299,109,411,636,950,756,974,556,237,087,988,523,214,277,803,
258,577,761,183,332,912,046,168,877,899,802,709,671,051,332,661,221,469,125,
407,115,753,207,141,285,166,974,321,014,282,500,894,949,125,546,469,706,521,
460,744,345,332,090,031,090,686,060,027,355,070,561,790,759,495,374,413,882,
237,817,501,908,329,928,538,471,041,513,465,285,923,420,035,551,180,571,019,
701,814,034,799,184,701,290,077,867,843,397,162,232,751,047,143,510,600,943,
465,063,265,567,397,896,120,766,673,311,129,518,418,186,784,168,287,657,545,
499,921,573,106,150,309,232,999,785,634,549,091,033,161,567,906,471,123,416,
380,479,809,035,118,312,458,101,410,077,318,767,726,982,307,166,608,409,378,
316,572,203,869,888,851,695,286,409,615,854,364,878,071,645,479,830,424,844,
832,213,889,194,037,771,129,085,481,782,488,446,692,540,951,222,046,462,645,
019,443,091,301,599,403,423,857,123,283,121,758,275,913,077,542,467,646,323,
079,569,062,487,497,686,324,575,138,465,112,166,019,150,888,322,075,746,226,
237,150,949,951,950,005,360,902,152,392,339,291,998,129,641,356,980,867,061,
343,681,531,093,715,889,006,323,933,890,394,095,141,203,819,003,581,769,670,
986,595,391,986,070,299,494,330,352,191,702,862,012,816,677,858,385,776,015,
195,127,668,737,085,060,584,139,603,298,034,996,228,934,090,863,159,949,663,
510,518,552,543,484,640,713,326,483,345,367,551,543,048,423,131,503,622,776,
460,118,166,673,683,653,362,537,652,230,846,267,838,941,976,412,449,938,468,
295,492,171,997,461,878,106,518,542,968,128,927,269,892,105,511,091,743,239,
342,510,064,802,610,419,817,195,634,728,662,467,485,338,489,796,194,327,079,
498,298,124,572,109,278,350,897,531,397,180,636,126,722,738,623,706,991,849,
405,928,257,619,598,185,283,872,389,413,491,720,595,877,609,480,748,022,261,
093,934,183,455,799,704,069,554,425,569,996,603,298,497,919,325,103,679,072,
337,445,131,371,253,321,473,860,163,687,419,909,870,063,229,752,985,116,365,
449,702,300,451,819,529,168,928,534,031,519,839,231,542,552,622,922,856,731,
794,927,505,068,130,023,592,694,608,345,103,435,348,413,953,232,374,139,855,
785,634,989,291,736,427,087,682,596,958,269,439,076,991,823,773,869,747,673,
225,128,410,254,186,528,466,728,819,096,470,214,360,254,202,824,272,129,763,
924,219,831,546,789,730,075,460,120,359,502,613,624,905,615,957,536,136,320,
411,284,735,153,228,509,374,994,486,864,469,479,865,678,824,756,272,374,186,
157,103,256,425,831,459,623,007,212,948,682,822,068,182,689,841,629,893,134,
761,349,919,151,975,941,167,124,489,733,338,301,906,850,713,093,484,992,352,
398,315,287,215,654,004,597,054,120,348,338,481,748,304,228,231,653,015,051,
187,208,228,692,575,850,573,784,814,282,762,953,791,179,437,295,032,156,752,
532,483,079,680,938,629,884,822,293,913,360,622,868,053,998,259,434,521,661,
854,976,018,787,918,681,692,544,208,052,256,575,556,076,667,792,317,821,922,
167,844,055,027,114,358,731,384,585,801,305,678,769,590,685,265,597,081,792,
419,132,957,145,499,950,943,529,689,124,111,465,392,678,993,148,782,197,549,
058,379,849,580,998,315,594,104,477,493,904,966,550,946,245,398,221,716,125,
146,185,635,097,685,877,678,463,373,269,828,930,496,785,880,983,722,781,181,
282,388,048,687,245,901,394,988,580,324,818,446,649,124,736,674,070,858,836,
404,729,506,018,759,579,664,867,460,089,836,538,017,953,571,608,045,199,666,
677,927,303,776,802,092,445,309,697,578,221,871,626,615,231,873,181,386,644,
276,836,069,265,398,607,072,052,784,720,824,387,112,208,856,560,362,904,189,
724,951,922,427,193,862,983,956,702,919,455,797,799,479,304,600,818,266,796,
227,456,601,435,584,288,401,185,090,812,640,094,389,270,093,672,253,392,843,
340,280,233,059,041,479,893,175,415,504,066,554,162,763,384,354,420,921,203,
410,338,379,512,432,853,116,879,368,402,190,756,638,613,410,128,167,817,919,
549,986,612,101,141,950,949,350,962,554,959,939,598,708,577,933,601,387,054,
872,625,499,097,623,897,284,166,034,582,118,958,626,083,461,789,671,470,064,
780,371,952,914,135,595,208,618,405,208,652,282,838,040,416,309,258,952,570,
576,263,528,151,385,081,815,256,812,588,394,825,394,125,706,666,539,098,571,
497,535,614,408,434,630,579,322,855,782,404,518,527,468,649,851,886,805,363,
116,066,926,571,374,936,300,488,537,295,287,718,256,154,354,308,394,854,999,
393,810,588,535,378,558,320,035,320,538,229,143,310,259,633,992,293,253,621,
747,693,082,222,753,003,929,884,023,282,374,033,835,645,040,570,133,219,333,
534,031,792,855,177,009,781,886,762,918,475,168,453,028,287,442,837,020,025,
078,014,236,128,521,926,939,966,191,806,082,965,442,300,984,000,709,432,937,
983,604,025,542,002,836,603,141,906,237,500,365,203,979,214,963,266,534,892,
440,591,646,827,260,422,122,252,282,117,731,231,382,325,223,381,777,062,540,
112,960,109,520,270,155,345,613,047,235,992,359,798,268,104,819,194,337,370,
669,937,509,998,837,091,379,767,416,892,289,090,799,339,831,040,188,922,400,
728,318,053,387,080,858,010,489,873,287,668,003,760,653,902,795,578,856,884,
110,156,298,748,133,069,585,342,381,546,943,425,784,411,259,033,933,878,827,
377,974,708,161,942,972,533,830,245,769,492,543,476,755,073,813,825,749,798,
676,708,343,615,937,743,341,171,022,906,352,741,836,144,280,183,280,076,459,
462,016,658,750,127,421,029,583,882,082,079,126,885,271,617,437,930,406,543,
851,351,803,713,607,889,857,379,025,530,166,172,182,244,950,896,921,613,531,
870,965,344,913,748,301,858,897,691,549,319,293,778,940,526,100,660,459,254,
671,366,321,511,665,321,257,344,658,336,685,747,919,367,516,008,140,496,266,
594,886,440,591,719,379,983,629,577,542,157,933,559,363,146,557,669,487,517,
441,428,626,785,070,501,295,971,860,251,365,221,316,055,987,818,478,753,722,
466,494,610,408,483,012,841,947,555,384,722,361,811,106,246,469,106,101,053,
832,335,692,237,520,612,284,529,210,818,678,189,186,350,385,033,598,967,978,
380,654,560,225,271,105,606,871,145,592,553,946,071,730,309,969,782,600,617,
739,188,599,824,367,125,001,501,481,567,202,686,093,032,367,669,101,339,892,
903,924,125,800,425,730,985,924,199,607,347,156,630,077,797,597,780,046,042,
631,099,472,318,776,165,199,035,339,780,601,044,454,170,105,035,810,113,495,
822,844,796,850,140,470,343,835,640,002,186,369,065,245,915,308,719,229,272,
714,218,328,236,135,453,957,972,840,942,865,310,373,824,331,834,121,447,443,
938,221,920,787,275,161,674,391,248,728,137,919,465,956,302,355,416,710,993,
195,249,998,782,838,607,183,727,258,597,057,390,521,227,789,804,308,324,660,
359,560,155,494,053,006,247,211,611,880,204,834,297,858,420,949,667,644,205,
157,022,596,153,804,698,102,018,895,989,149,928,573,183,661,730,413,433,594,
490,836,419,560,040,822,013,219,167,087,468,392,492,031,025,631,856,656,155,
437,109,416,283,336,898,644,359,895,186,097,006,714,472,536,754,792,592,482,
028,215,192,163,726,032,857,681,050,934,006,917,477,219,321,940,577,838,760,
998,037,684,699,367,576,849,033,299,250,965,973,975,105,832,849,889,491,430,
767,661,945,278,678,466,840,664,300,106,069,160,835,781,025,042,449,061,412,
298,283,929,482,671,772,536,301,300,895,956,070,412,865,947,653,742,537,225,
267,697,856,291,754,434,497,750,245,760,745,779,753,624,897,081,620,322,032,
329,646,822,001,068,130,344,740,447,326,704,304,846,973,572,417,096,585,238,
857,052,012,683,628,364,059,573,473,908,672,081,540,417,554,467,102,683,803,
688,402,351,874,350,447,121,194,526,906,089,298,025,759,211,436,968,805,352,
364,161,032,865,416,873,421,295,888,130,834,899,031,961,444,345,632,801,995,
083,210,107,878,058,628,933,260,648,399,003,414,936,862,265,217,502,888,945,
281,721,249,411,606,966,790,616,578,387,783,370,936,978,189,125,218,508,604,
786,889,877,439,336,604,038,911,969,998,049,637,715,836,907,368,022,888,179,
559,279,667,013,910,207,566,530,380,941,211,269,293,635,317,201,523,261,064,
049,989,143,376,594,966,150,903,069,020,774,580,978,719,959,052,658,083,999,
683,797,700,932,821,763,664,245,094,765,594,342,391,379,070,776,959,786,776,
165,066,023,612,943,354,755,009,165,628,621,955,542,739,650,715,694,073,487,
675,493,975,446,571,135,445,939,063,080,696,149,432,995,304,779,399,938,147,
912,236,266,213,604,720,502,054,330,933,156,726,121,829,175,375,257,824,356,
049,663,781,292,948,326,412,968,286,512,155,155,702,981,931,466,686,982,689,
415,303,182,080,226,612,894,018,098,962,008,555,901,155,716,472,709,057,741,
282,633,741,976,909,407,975,996,146,606,414,872,312,817,008,771,801,687,944,
366,220,184,897,995,485,625,059,359,415,343,667,839,937,338,016,629,521,443,
226,454,028,785,040,367,140,661,416,579,083,159,795,982,441,653,632,914,416,
176,356,099,019,000,470,479,868,940,884,727,298,458,852,417,723,907,538,461,
203,058,724,977,466,974,429,262,776,335,485,135,605,502,882,725,886,373,552,
600,309,594,156,178,084,262,867,993,958,965,305,120,735,080,744,476,615,567,
828,768,630,363,479,635,795,632,233,959,759,157,405,057,113,190,964,640,769,
088,288,230,739,713,195,690,266,138,566,060,323,366,537,955,150,035,478,510,
106,359,822,368,551,726,430,240,471,844,496,281,401,653,457,557,429,562,375,
750,049,083,485,216,312,000,008,342,199,998,953,590,879,183,424,132,467,861,
964,561,051,907,824,529,116,006,889,662,045,673,121,859,730,094,075,679,137,
153,331,149,356,374,290,310,539,062,877,247,690,905,733,742,780,757,974,269,
238,702,694,654,410,351,544,628,669,553,384,119,241,646,204,384,054,887,084,
844,362,234,493,322,646,467,014,946,213,087,120,764,836,034,033,018,859,480,
361,489,625,753,654,701,839,148,201,409,317,997,089,211,908,944,461,926,461,
944,092,255,589,698,325,408,261,334,307,481,195,910,826,347,976,162,545,578,
378,646,212,365,799,486,642,436,069,460,144,080,975,831,916,272,048,598,366,
606,917,665,361,564,174,471,671,738,765,569,676,538,139,032,474,718,358,111,
367,927,063,960,758,558,558,116,457,335,991,167,850,999,119,670,586,492,796,
637,866,946,151,775,518,992,806,661,690,764,795,096,574,303,209,113,634,359,
988,277,087,670,974,657,443,022,755,925,839,098,171,897,612,446,626,408,450,
629,256,869,954,152,414,825,781,323,416,254,295,768,474,562,250,558,140,734,
090,717,424,400,359,258,947,250,521,422,298,426,199,454,391,823,759,712,680,
578,767,289,462,823,698,413,985,838,388,874,052,769,833,162,963,103,451,793,
485,632,794,589,709,101,701,899,180,973,736,686,762,550,681,454,110,272,979,
047,200,551,949,308,396,301,834,067,795,443,765,327,982,702,481,266,304,292,
270,493,669,859,307,349,221,522,980,864,253,627,806,747,232,195,762,838,330,
247,671,074,721,572,159,674,165,153,802,388,631,914,806,570,857,169,244,942,
478,202,214,114,852,559,018,434,318,021,386,586,774,491,106,461,641,001,071,
858,636,866,108,904,830,907,115,637,648,722,729,926,322,134,664,250,939,901,
435,545,372,325,680,345,536,084,475,037,693,940,657,003,591,099,848,085,310,
113,949,491,986,282,129,573,705,952,871,083,402,876,796,941,471,333,325,510,
193,185,832,511,918,436,321,222,975,568,648,413,372,637,904,142,836,178,515,
584,799,146,158,927,868,240,496,976,199,494,819,967,863,369,050,979,873,105,
251,311,121,799,682,157,976,475,750,451,846,698,458,061,076,737,439,420,432,
332,552,114,179,882,138,126,074,631,841,853,564,382,303,648,567,993,430,646,
261,438,793,078,965,795,972,302,101,853,787,545,171,728,811,009,472,049,603,
848,511,024,082,971,828,673,048,129,370,668,811,693,702,608,912,164,998,838,
361,106,087,816,112,431,401,556,028,187,951,295,393,870,067,807,253,002,281,
844,746,190,622,447,119,653,602,065,376,991,560,858,666,946,375,508,308,619,
391,336,222,216,642,355,535,892,159,391,079,601,728,978,086,569,092,386,353,
740,057,158,132,925,984,749,789,079,646,271,484,167,936,873,950,471,049,967,
062,755,091,000,091,856,382,878,811,058,131,472,504,162,696,480,844,514,630,
991,050,893,368,570,946,093,328,030,089,720,565,470,917,840,087,722,560,862,
681,639,434,915,375,660,683,894,170,994,780,059,807,166,610,298,687,868,424,
490,089,767,737,010,803,316,237,879,828,049,820,466,241,269,111,224,432,888,
242,661,154,146,261,059,995,147,618,011,193,657,481,004,727,143,637,082,438,
373,268,337,973,334,931,239,409,392,945,193,661,597,766,747,664,534,589,195,
574,080,663,354,568,882,183,400,213,848,738,342,699,490,903,616,285,486,230,
208,611,989,194,805,563,873,277,202,907,684,088,970,888,681,243,996,789,380,
982,015,001,542,334,463,575,233,230,887,647,504,735,356,979,086,965,019,627,
347,385,873,235,242,809,574,647,228,228,458,342,014,657,914,842,798,660,426,
114,142,030,192,518,983,827,974,426,137,652,611,903,874,071,291,018,594,431,
176,524,487,412,369,768,849,478,086,965,047,606,400,557,457,075,817,716,882,
138,234,214,582,374,406,968,288,750,858,148,601,061,206,854,063,332,620,258,
469,569,548,027,764,348,063,899,297,497,710,009,735,001,081,106,323,938,045,
182,022,854,806,919,221,574,282,556,065,740,105,406,760,902,988,859,041,748,
673,938,820,259,768,465,507,958,301,652,661,265,154,994,644,660,331,076,681,
008,243,059,594,619,886,465,385,440,434,592,492,283,374,016,576,876,733,091,
193,982,127,934,549,932,177,733,440,818,379,529,912,599,335,488,919,170,283,
547,624,693,805,176,762,135,053,611,149,472,080,520,828,419,159,400,090,586,
563,492,766,021,803,195,473,624,679,672,385,183,172,742,704,890,111,076,897,
074,003,407,387,301,691,151,026,378,144,377,403,453,649,652,332,056,662,147,
837,330,290,848,424,330,499,657,102,020,520,353,109,926,482,848,752,072,157,
005,872,944,033,846,291,405,270,835,049,158,481,243,242,207,041,679,855,683,
747,313,845,155,609,425,784,629,619,565,847,465,362,880,554,701,759,877,074,
307,363,771,781,691,186,288,859,216,543,944,479,827,108,475,971,670,332,603,
413,880,838,891,731,649,267,392,681,575,344,964,315,709,054,816,604,124,617,
554,241,177,601,021,336,067,962,172,358,758,311,471,333,222,566,864,204,699,
123,224,037,438,496,175,690,785,249,199,344,478,607,460,871,286,501,918,562,
304,537,415,114,086,488,481,776,858,055,685,537,322,436,279,121,979,141,994,
778,687,492,216,975,612,843,360,374,248,207,522,986,639,380,687,488,935,039,
720,917,141,894,850,837,593,870,232,247,524,039,860,446,165,462,005,800,451,
706,865,729,112,467,557,913,116,366,760,155,408,883,158,523,295,107,098,316,
332,805,038,958,701,326,907,198,105,750,229,698,713,009,827,206,395,274,267,
976,565,228,346,843,265,133,539,945,895,306,954,445,128,906,741,556,113,016,
889,076,462,877,702,481,314,699,746,195,480,692,940,795,759,923,835,163,753,
303,116,839,585,506,502,603,792,165,762,681,927,262,056,395,642,999,391,948,
044,656,323,597,712,124,792,819,321,105,002,591,319,100,054,881,801,682,109,
170,407,643,521,096,430,945,118,809,570,692,056,442,905,347,495,381,546,142,
745,176,887,193,864,973,198,112,595,671,872,980,930,446,445,503,468,990,882,
506,677,389,392,255,917,304,017,606,752,461,339,623,034,942,014,242,717,953,
702,445,330,174,737,617,509,766,787,852,115,670,734,722,429,149,223,462,854,
022,952,722,095,258,387,955,380,847,539,086,205,726,678,896,248,212,063,149,
406,923,417,984,212,629,661,272,211,845,087,098,921,309,561,161,257,076,290,
830,046,617,017,801,928,080,043,591,631,487,140,328,065,635,179,118,919,162,
215,204,879,128,831,900,914,674,990,514,617,016,386,949,910,633,366,339,494,
954,961,224,738,860,954,140,481,657,712,852,569,487,751,634,076,456,794,709,
021,164,280,897,993,765,246,091,372,370,626,307,140,296,976,532,549,279,100,
894,324,948,957,941,387,925,600,331,827,700,126,234,666,473,292,416,772,329,
398,997,263,857,405,758,567,653,972,313,760,816,832,459,821,537,637,260,148,
562,051,506,748,624,297,876,938,636,158,060,798,978,174,263,629,671,087,522,
166,064,356,261,033,355,416,644,411,668,980,745,863,602,454,966,984,837,247,
929,527,287,006,004,746,354,961,426,063,185,070,587,931,900,718,689,696,421,
029,579,394,494,071,388,937,582,219,627,104,810,283,601,283,925,276,282,526,
766,489,602,233,752,327,151,009,712,148,050,768,522,251,195,621,034,215,225,
463,755,493,386,224,715,336,299,049,451,549,021,637,210,970,572,493,821,031,
057,344,555,991,856,672,358,836,768,077,161,506,692,803,629,116,120,901,391,
737,328,984,149,237,821,144,329,131,936,491,197,878,418,291,653,280,071,799,
645,965,014,330,240,701,583,394,149,431,408,024,693,859,645,057,749,768,300,
313,120,650,539,720,304,529,502,779,558,838,457,469,610,661,021,175,460,218,
593,708,899,441,142,662,231,048,760,023,012,683,446,176,987,424,636,604,439,
095,618,052,911,251,905,230,458,416,556,340,548,111,506,363,356,535,044,164,
245,070,261,170,698,277,320,743,749,973,994,923,142,380,270,141,589,135,884,
972,619,845,038,219,114,451,934,567,507,076,873,174,575,316,335,469,242,457,
961,302,924,840,679,502,035,757,426,813,778,121,320,068,017,209,221,996,513,
481,360,374,354,330,440,357,597,093,654,255,698,805,462,058,950,497,710,804,
043,095,605,646,136,932,907,135,118,965,829,880,157,984,255,187,010,103,027,
241,842,704,230,330,605,507,459,374,332,477,473,008,584,966,872,700,459,747,
711,123,075,915,380,649,505,249,648,459,477,613,812,072,517,099,894,793,782,
210,575,902,945,066,515,595,804,608,780,604,654,540,566,618,099,994,098,878,
448,259,296,588,537,374,037,315,669,310,599,837,204,576,453,803,965,303,502,
181,737,883,974,848,870,855,631,977,661,451,716,541,576,985,046,983,825,779,
006,700,276,698,253,591,856,197,969,351,949,160,336,601,597,082,988,637,150,
603,830,716,822,473,450,867,602,954,099,197,389,170,494,119,133,400,188,759,
165,112,773,964,711,625,830,875,973,167,965,502,086,454,585,598,626,714,122,
463,838,812,765,132,585,790,729,858,602,558,666,146,694,269,367,349,437,131,
415,318,250,245,877,284,600,791,612,659,786,240,175,566,973,838,597,141,709,
485,671,206,505,930,210,222,517,272,672,643,308,451,572,245,023,306,838,809,
964,524,633,456,191,469,125,462,525,406,563,309,320,109,333,094,809,098,753,
823,844,957,926,855,761,848,605,040,486,603,508,416,115,674,382,005,957,771,
896,707,291,964,069,738,871,859,754,779,026,313,785,465,181,849,333,272,647,
087,752,016,576,028,045,011,998,529,530,876,735,080,820,385,595,440,065,611,
233,605,129,067,118,864,811,824,830,140,751,422,513,316,751,602,656,536,679,
610,373,986,439,240,213,113,970,838,799,130,947,804,199,091,164,817,177,664,
610,978,804,324,887,834,735,059,402,465,645,541,622,566,681,902,795,008,314,
298,239,665,525,053,991,960,599,393,211,652,943,166,753,785,388,056,622,587,
876,280,897,190,667,234,900,394,733,629,757,029,650,604,688,615,102,720,349,
155,452,860,817,297,729,935,248,870,973,640,393,826,574,145,583,598,332,922,
026,416,194,877,971,200,629,975,893,262,715,917,184,319,789,400,345,940,964,
958,839,482,607,794,676,565,596,608,368,790,010,297,921,893,583,345,435,930,
391,713,947,144,860,752,672,085,879,419,280,850,362,196,561,734,009,817,076,
927,569,657,230,660,702,971,454,058,791,933,200,678,306,489,563,102,858,927,
977,183,104,971,161,272,242,239,932,421,141,645,866,203,987,757,228,558,690,
093,654,002,807,557,264,508,318,063,023,216,668,654,046,389,170,270,108,537,
676,961,285,894,154,232,191,714,373,534,727,769,038,364,634,444,468,597,990,
113,577,305,973,290,255,326,041,614,818,336,751,707,812,778,683,117,384,930,
110,362,248,571,539,303,796,284,647,029,442,813,021,482,074,823,283,661,396,
152,075,541,205,024,858,763,905,434,013,639,592,960,367,225,232,679,672,911,
527,830,790,637,238,463,826,974,780,485,151,083,869,554,530,368,535,417,428,
950,091,474,766,870,296,134,124,646,628,379,614,749,164,708,936,640,515,616,
570,176,277,414,840,656,853,553,171,568,276,756,383,470,171,072,610,438,818,
513,647,804,416,266,609,664,080,924,901,934,016,684,786,460,942,484,119,496,
383,480,678,842,932,969,515,269,846,637,357,168,955,758,184,851,676,405,642,
382,305,991,250,432,750,494,334,047,089,627,059,356,616,641,007,528,986,205,
495,635,080,077,597,503,639,071,178,471,329,752,810,838,568,782,087,659,119,
764,079,244,421,197,501,276,510,801,016,343,727,510,315,116,733,673,185,223,
854,691,426,597,046,231,050,122,758,337,283,173,254,984,952,300,701,316,407,
787,331,888,471,208,348,951,310,713,101,909,533,207,840,471,359,537,154,156,
168,261,917,329,731,747,186,912,740,360,982,004,309,559,090,705,513,608,677,
108,323,893,928,829,532,008,873,102,588,969,124,016,041,901,175,625,178,561,
858,224,935,433,969,438,603,319,733,067,128,942,661,254,989,795,836,154,818,
339,059,572,539,461,141,381,041,415,972,736,049,858,520,508,678,020,951,677,
542,922,216,493,778,310,883,345,897,380,555,432,647,877,045,757,780,776,999,
787,796,081,311,459,885,665,996,372,006,988,116,832,775,271,570,712,853,295,
453,823,999,064,598,695,435,424,938,171,369,475,107,657,089,219,639,008,683,
924,324,510,046,022,028,792,720,892,156,381,878,567,536,803,827,613,506,821,
343,523,057,668,642,026,411,313,224,074,274,718,407,321,500,713,006,501,084,
730,310,575,951,544,885,935,615,054,327,885,517,393,916,470,045,525,677,252,
954,064,509,368,469,621,937,602,853,404,529,766,084,545,673,715,930,777,195,
270,118,945,673,429,055,148,245,781,895,186,276,755,114,904,253,224,354,167,
061,616,845,435,373,796,426,399,167,451,138,534,629,742,511,341,393,490,597,
350,390,156,495,582,515,443,588,652,712,236,004,444,748,375,865,091,767,923,
756,207,930,675,401,345,233,321,268,335,715,280,288,186,660,152,552,690,241,
576,210,376,971,124,912,269,119,871,406,436,993,585,952,548,800,202,943,752,
820,956,126,517,120,995,422,305,692,399,001,889,551,671,069,246,205,204,043,
020,371,224,262,743,653,128,142,839,588,622,675,955,771,411,184,517,149,894,
169,008,785,155,179,846,087,428,004,392,548,089,659,975,999,974,733,656,836,
964,950,533,222,062,156,180,007,396,214,538,845,619,426,753,743,576,095,777,
309,640,055,081,854,233,730,721,684,161,281,440,666,469,894,835,133,588,299,
095,837,339,777,677,383,624,780,750,680,059,944,052,518,878,131,299,962,109,
878,992,269,482,438,603,843,387,082,999,906,052,599,111,038,837,005,005,601,
820,017,010,937,671,321,095,973,884,029,579,816,344,685,366,421,968,980,003,
754,047,948,726,425,780,606,486,247,676,138,940,693,365,137,991,490,224,612,
067,025,844,311,688,388,956,270,382,956,238,304,427,452,908,506,955,070,568,
994,540,242,776,125,919,326,901,311,548,464,829,738,930,183,187,380,197,045,
286,974,021,951,738,642,563,784,866,212,112,535,943,204,991,696,028,500,065,
865,410,322,981,092,525,503,916,656,446,519,264,632,214,806,352,747,327,878,
098,729,138,037,996,919,547,710,404,357,575,174,907,446,252,823,827,734,874,
161,623,322,812,386,425,992,183,849,414,498,501,545,694,556,646,612,869,140,
183,781,327,293,790,328,044,632,189,037,065,193,315,736,620,622,220,580,420,
901,988,675,460,201,921,010,353,564,460,684,164,396,871,540,524,013,631,844,
251,009,529,018,089,181,789,292,057,679,635,927,426,681,046,847,391,350,120,
996,567,867,840,625,611,426,985,042,653,634,390,070,582,283,113,305,172,316,
687,747,880,282,196,234,124,937,210,124,631,388,200,719,144,732,350,651,585,
989,118,926,145,856,321,200,215,605,925,044,913,223,800,427,570,442,854,725,
101,190,646,348,048,694,369,942,529,730,614,803,347,621,217,197,701,632,913,
479,226,489,200,984,259,288,601,923,348,418,133,960,945,642,262,924,849,955,
615,720,280,594,113,790,168,568,329,175,586,564,105,628,651,433,995,927,091,
280,682,885,362,682,041,851,206,727,451,730,747,409,139,518,167,260,084,052,
832,912,199,160,716,551,432,606,313,556,582,369,861,995,621,726,554,250,035,
518,934,398,670,601,168,439,859,751,315,883,592,127,975,545,044,028,431,826,
962,146,378,991,724,863,106,765,592,270,178,295,948,427,608,671,882,118,488,
658,993,517,438,536,781,134,727,286,247,251,644,383,651,073,441,299,494,988,
303,482,231,781,397,022,655,785,417,254,699,684,467,888,535,890,944,077,819,
354,354,452,824,089,853,035,170,035,675,914,215,231,801,740,023,399,114,303,
259,057,843,039,746,943,184,146,905,138,450,499,327,307,680,973,779,659,767,
368,711,571,837,749,696,255,166,248,630,936,278,858,382,824,162,980,467,832,
328,920,879,347,289,274,687,540,573,300,816,474,373,158,326,420,671,433,084,
974,038,204,709,273,544,363,475,188,543,275,501,321,954,384,440,237,932,656,
336,980,735,345,784,921,460,633,800,064,609,960,758,221,050,597,274,002,850,
910,032,939,172,320,582,247,598,257,744,745,188,105,210,511,119,616,446,516,
953,034,619,940,502,628,289,521,208,221,133,194,160,632,546,538,009,468,334,
092,233,731,220,844,661,342,389,762,200,937,526,587,881,647,828,034,772,569,
204,581,884,980,278,017,630,005,042,778,915,126,484,538,601,216,026,617,142,
337,819,604,859,193,335,295,208,480,465,928,220,437,584,433,979,652,290,502,
970,443,412,437,321,072,516,322,919,894,584,446,547,782,803,785,244,092,976,
260,157,091,217,790,370,528,591,181,181,185,875,026,341,950,518,183,572,136,
912,693,439,897,181,495,451,829,820,794,524,358,738,154,493,391,452,339,859,
419,735,289,173,346,948,105,086,378,571,663,991,956,384,676,184,223,284,499,
167,923,574,631,785,900,405,344,687,650,702,412,233,034,095,840,898,559,455,
661,436,355,247,547,158,610,558,225,515,729,734,947,704,208,275,836,344,360,
790,996,731,780,833,543,107,370,199,831,588,995,759,943,314,203,365,279,520,
029,328,275,347,782,441,906,323,986,450,545,231,825,803,565,122,012,171,511,
463,066,007,978,893,514,021,805,237,340,268,814,854,912,300,745,288,751,609,
849,180,774,705,667,163,530,760,284,738,455,440,531,463,578,722,670,392,654,
045,604,843,616,888,195,705,739,193,950,070,847,594,247,848,588,641,463,138,
258,089,374,440,399,147,893,047,628,537,065,466,570,629,386,844,389,140,273,
153,591,050,779,935,279,383,540,506,490,192,908,460,988,926,107,859,488,816,
796,742,930,459,037,843,471,860,055,758,114,751,575,781,123,378,961,987,532,
349,845,656,390,093,174,653,419,295,118,858,161,493,109,858,136,287,675,488,
808,694,699,637,990,981,061,003,590,040,649,168,114,113,457,404,282,746,955,
354,771,633,198,912,108,620,026,089,656,979,449,562,465,763,080,024,651,109,
018,723,067,377,699,962,452,843,852,201,224,711,682,051,224,881,729,325,115,
800,471,982,296,414,282,274,813,875,601,338,783,702,605,004,296,337,488,064,
386,396,297,672,469,843,283,923,494,759,806,478,352,725,590,773,085,963,137,
213,407,134,016,178,616,630,582,240,031,010,672,691,734,713,350,534,723,767,
020,088,415,412,749,892,157,538,255,798,715,215,182,035,573,050,273,820,017,
895,699,852,210,639,817,834,229,186,848,918,001,459,802,623,188,506,231,599,
881,293,820,767,783,507,477,190,918,566,425,905,703,068,593,553,999,189,054,
989,191,975,139,860,808,969,423,038,772,236,572,139,134,104,241,423,526,682,
276,539,062,801,117,867,679,215,994,831,200,155,839,748,814,715,779,905,571,
552,672,622,995,634,498,077,166,184,257,744,084,718,098,434,354,177,589,115,
851,225,675,781,043,040,368,943,912,736,618,700,096,066,567,342,660,390,394,
523,708,669,922,175,165,836,333,901,014,179,066,390,489,409,993,579,248,811,
803,068,955,265,395,312,279,385,242,183,102,799,543,646,506,183,304,399,220,
614,854,149,686,546,315,561,977,283,175,777,303,637,344,849,816,314,220,818,
654,998,545,867,766,786,803,480,560,300,599,466,128,536,315,976,194,287,018,
453,306,498,447,293,866,975,729,318,125,957,924,473,123,006,842,772,620,531,
467,548,129,816,180,287,506,591,475,557,343,475,352,562,038,897,131,982,068,
475,081,648,241,905,903,381,790,363,645,576,791,208,178,024,961,814,396,851,
308,767,074,179,714,824,297,961,806,518,108,991,226,306,880,782,007,778,470,
810,385,101,295,799,800,759,247,573,165,962,968,767,645,798,169,579,749,046,
577,486,617,378,835,012,164,703,343,364,689,243,419,639,151,185,799,594,076,
016,621,458,864,603,301,967,443,860,663,896,153,413,763,050,172,671,469,024,
455,624,780,687,045,646,764,143,507,351,811,112,604,053,852,480,264,039,458,
781,932,021,232,853,873,223,547,932,231,399,790,477,059,046,545,580,642,560,
988,546,738,257,210,520,985,189,768,003,652,150,659,656,678,255,983,266,625,
548,831,003,484,978,419,152,208,354,027,455,209,430,146,232,623,027,814,712,
905,896,681,803,157,256,020,364,424,887,070,398,011,661,647,211,165,333,527,
158,752,713,925,621,875,035,350,857,363,402,494,480,594,871,414,211,005,958,
800,001,112,001,820,228,135,427,056,114,648,563,232,232,467,361,016,215,277,
982,095,485,088,704,098,589,749,961,697,418,054,856,418,391,225,470,868,971,
799,528,336,875,093,210,473,401,835,221,707,923,607,777,276,454,113,945,817,
467,458,608,462,986,211,927,375,946,385,975,075,484,888,177,048,765,420,034,
262,019,308,540,866,249,048,276,255,316,913,937,831,745,522,568,545,136,963,
676,875,465,000,439,298,901,666,285,946,238,097,875,491,521,530,156,900,242,
674,265,902,167,239,003,180,997,458,556,101,917,819,995,586,624,633,848,791,
466,835,708,149,890,868,409,300,467,335,082,791,843,509,352,445,528,536,998,
268,115,133,218,164,218,605,272,792,165,278,011,422,599,034,472,958,914,832,
886,704,862,434,279,088,208,348,224,764,312,000,588,297,276,164,306,693,917,
221,400,533,052,409,023,364,047,443,720,656,115,436,426,853,115,420,411,933,
940,949,731,889,533,541,421,470,408,168,183,034,267,731,705,508,173,014,620,
580,340,665,058,158,548,855,805,704,503,289,848,955,723,773,047,969,996,145,
531,891,659,137,642,869,516,057,713,971,055,606,820,704,518,018,123,739,516,
878,712,744,495,740,286,384,925,911,405,233,098,124,664,275,035,065,751,259,
848,246,810,814,775,539,528,182,833,764,038,921,621,001,589,093,544,617,295,
071,673,900,551,195,607,573,093,063,039,046,341,313,855,741,975,173,346,587,
681,659,125,429,168,963,158,893,633,789,835,466,957,418,947,784,189,121,618,
335,785,891,084,578,244,590,921,522,629,767,977,782,446,449,811,389,576,541,
399,129,850,969,864,004,724,069,717,776,036,202,538,712,953,008,558,714,044,
408,739,884,446,474,066,367,107,988,201,896,855,117,480,562,637,288,769,729,
810,810,000,857,837,978,195,370,931,601,222,453,909,945,757,178,295,737,517,
452,066,920,111,112,134,733,130,582,733,529,986,030,158,709,585,513,760,444,
204,177,390,427,225,019,378,783,361,501,980,619,158,807,236,422,821,211,542,
514,256,127,327,263,350,631,699,458,927,474,808,701,267,335,332,495,269,751,
937,737,000,720,571,441,875,779,873,134,626,809,321,418,906,234,930,286,466,
165,129,046,772,639,292,150,228,960,000,818,230,918,621,633,332,168,263,547,
041,679,416,148,729,186,034,161,005,532,099,436,582,072,029,879,607,279,679,
887,572,901,490,411,955,531,751,262,914,266,397,903,842,212,817,270,395,801,
304,471,141,002,052,989,327,824,131,549,218,405,964,306,216,439,557,075,457,
688,626,451,519,772,313,356,108,982,286,949,649,849,373,050,389,013,771,179,
523,862,865,415,544,656,233,221,863,548,763,790,330,668,960,313,296,098,018,
144,050,299,854,732,755,262,739,386,195,616,518,773,848,207,798,758,553,331,
812,464,627,163,386,866,679,560,972,895,873,873,542,553,862,946,948,476,435,
326,409,535,301,209,641,950,884,367,091,756,567,452,467,456,494,966,425,495,
751,459,954,781,297,448,053,149,407,364,054,318,391,327,581,705,432,565,056,
492,110,638,097,989,097,827,911,144,907,614,347,643,615,516,676,091,981,887,
073,147,131,471,882,243,029,527,287,082,494,201,069,562,153,493,126,181,083,
889,990,090,937,083,321,554,439,340,137,446,985,303,711,531,302,919,200,984,
455,788,801,844,877,223,852,005,792,675,070,824,691,145,458,083,323,163,436,
501,879,465,933,509,032,807,368,523,523,618,700,735,069,234,261,285,432,470,
867,286,285,262,738,240,050,310,364,760,353,437,388,658,191,981,241,655,029,
493,476,623,793,013,858,546,616,989,405,356,289,735,496,097,098,669,526,561,
992,458,959,582,418,640,287,469,207,655,439,351,240,815,726,307,078,617,932,
393,900,599,484,397,919,771,411,411,351,186,405,488,363,968,287,066,865,801,
642,916,332,972,363,296,967,469,766,904,721,804,049,458,816,358,135,411,729,
834,393,001,732,569,444,366,187,081,509,759,592,884,284,990,489,779,466,452,
065,830,737,918,632,084,405,996,786,775,347,680,024,438,319,751,614,442,812,
969,516,865,695,647,135,320,235,956,626,391,969,088,879,321,549,588,265,768,
776,379,140,634,578,951,973,946,921,716,624,959,792,218,841,698,601,763,165,
016,168,567,233,032,483,165,758,755,303,019,666,201,246,301,003,533,997,207,
922,420,114,766,736,929,893,181,623,826,305,924,303,952,994,439,181,751,924,
706,971,805,015,409,693,634,412,508,120,217,970,032,647,144,564,338,539,531,
182,279,610,216,110,157,097,657,877,758,734,975,697,131,763,293,105,591,801,
712,455,505,384,784,661,614,994,314,653,101,299,625,099,439,111,191,281,670,
146,862,829,369,038,619,026,030,442,380,843,750,736,603,070,853,012,837,888,
359,725,306,874,195,712,420,493,386,721,960,353,557,554,559,202,000,223,958,
461,395,912,126,253,873,721,498,601,037,645,855,924,853,017,275,323,606,209,
030,704,487,004,551,034,426,916,000,564,468,004,752,335,144,772,126,120,237,
009,643,942,942,026,768,854,716,345,140,976,899,113,519,649,915,677,348,342,
088,640,301,523,935,841,243,630,646,639,206,262,979,289,401,189,205,321,591,
533,878,759,901,816,009,573,711,709,357,535,335,028,887,734,311,208,013,386,
754,591,272,018,157,959,980,498,095,501,216,912,643,641,867,950,921,389,986,
114,779,964,199,617,156,082,450,256,493,566,897,518,581,686,266,133,177,091,
301,982,923,869,501,524,135,413,963,757,649,887,667,460,460,411,192,564,281,
442,161,818,985,481,746,787,520,612,650,215,334,483,280,826,929,873,078,193,
194,212,644,248,048,145,451,477,261,050,243,600,397,558,938,999,287,090,949,
000,269,631,468,710,500,697,447,860,390,065,524,309,942,764,091,004,477,703,
584,141,439,452,064,251,484,714,932,770,581,001,618,442,781,487,438,126,890,
009,266,702,058,801,554,602,369,915,644,702,955,425,907,437,119,010,484,822,
975,826,962,723,488,742,522,296,940,906,069,424,874,652,567,277,034,044,815,
357,151,627,300,013,521,699,986,760,080,730,977,532,843,341,587,642,943,979,
311,518,354,961,861,844,560,803,621,212,420,801,796,843,959,146,352,567,767,
302,740,621,422,117,359,880,738,989,470,443,930,239,754,628,672,843,782,986,
390,179,868,740,078,830,086,425,444,164,652,226,754,662,080,234,714,531,233,
892,908,920,319,531,586,823,799,071,554,698,530,915,742,493,175,007,989,504,
283,666,031,149,944,832,730,463,690,895,136,288,038,640,374,970,257,793,423,
232,230,956,643,647,526,750,232,593,536,580,644,318,297,971,288,307,867,368,
398,707,373,192,516,287,037,155,659,255,687,504,845,793,766,813,058,996,064,
057,276,012,843,404,868,145,693,827,899,090,451,184,768,984,564,835,532,406,
440,382,371,196,287,572,889,665,013,569,440,656,987,225,650,772,796,529,953,
359,177,715,630,377,242,483,912,706,567,462,103,840,749,044,428,413,622,754,
993,937,619,871,199,750,131,488,668,977,108,554,798,546,911,494,247,902,621,
425,814,214,890,921,702,577,816,151,727,033,844,534,409,091,750,792,518,608,
555,649,495,620,256,296,894,290,520,259,750,504,664,429,767,912,953,335,396,
141,752,400,680,769,952,772,488,080,206,318,325,552,921,743,308,251,773,043,
299,369,154,442,443,386,430,691,152,943,084,834,937,096,902,150,105,624,974,
352,113,531,228,410,324,669,025,104,255,434,198,469,044,669,085,369,137,251,
088,313,847,339,434,825,194,602,332,610,090,448,422,006,901,972,672,394,161,
360,956,199,341,256,914,725,849,032,474,286,070,446,880,952,532,969,093,144,
215,567,681,785,935,509,531,657,111,101,795,167,246,108,250,218,010,843,895,
676,823,434,190,536,950,952,691,797,451,128,647,226,075,021,140,244,325,143,
251,286,181,485,160,410,873,359,720,455,925,166,212,984,413,582,317,695,289,
132,300,288,227,200,445,137,272,342,516,014,544,301,867,960,549,216,138,002,
077,930,622,744,810,700,467,203,633,289,534,528,815,747,252,101,024,237,838,
668,949,307,839,068,517,502,790,853,762,477,616,384,623,433,746,876,306,113,
801,232,119,616,528,309,574,110,101,533,851,538,276,386,944,445,586,746,201,
504,229,988,448,837,094,157,579,237,406,700,846,438,609,951,769,485,655,185,
744,855,234,689,843,203,176,717,712,371,408,408,788,928,725,928,615,325,809,
643,137,191,516,413,330,077,624,111,927,958,016,377,333,591,152,987,450,554,
403,538,464,514,158,060,684,085,309,686,660,325,819,149,714,897,813,884,084,
466,738,362,520,633,638,839,648,210,903,419,804,436,893,758,461,605,514,457,
022,899,119,044,772,631,444,124,527,314,291,814,319,367,113,633,588,562,025,
245,030,697,807,948,384,655,550,791,492,321,121,064,975,392,591,514,818,106,
054,975,794,388,613,757,872,884,137,398,327,714,639,535,500,507,974,090,972,
633,802,879,997,521,537,993,877,899,374,113,619,009,932,626,368,550,063,964,
355,749,676,793,474,164,474,844,158,204,868,072,386,745,117,513,811,652,520,
318,438,617,378,058,264,290,455,751,572,263,960,593,942,372,353,147,893,417,
685,925,912,269,127,929,790,517,177,940,149,900,314,870,745,545,390,187,783,
121,657,083,164,467,688,987,910,599,564,210,734,734,467,468,449,831,450,412,
818,294,801,311,817,114,446,668,215,824,424,216,588,590,985,826,502,492,500,
039,134,639,178,803,708,864,997,034,978,510,277,350,826,818,940,792,441,376,
815,670,657,149,125,358,057,078,242,383,408,124,853,964,532,083,530,810,282,
386,870,482,568,856,530,565,288,359,209,313,366,348,527,053,551,089,755,760,
681,031,105,312,648,088,969,440,684,307,953,224,181,398,291,176,470,637,305,
724,096,466,855,180,409,044,765,621,580,145,779,507,858,095,400,506,734,158,
669,419,487,598,496,884,389,279,978,153,980,666,737,903,923,816,522,664,054,
432,383,763,515,807,176,301,302,588,457,372,380,537,286,643,034,805,742,246,
851,115,573,187,483,787,525,072,319,698,904,660,823,805,507,154,932,410,376,
421,676,020,158,261,968,801,600,881,115,114,891,380,289,839,025,852,155,951,
150,376,465,704,106,012,448,128,288,641,296,438,056,644,877,275,620,828,881,
152,879,046,913,035,269,563,086,423,203,385,776,544,898,951,628,002,924,700,
288,021,998,264,688,018,686,387,771,279,988,079,406,979,154,598,247,047,074,
454,555,335,712,887,385,286,010,910,119,152,799,356,093,431,015,018,765,940,
199,454,368,291,435,640,243,135,168,394,352,723,623,018,758,273,429,576,233,
827,569,573,727,185,071,924,928,919,476,104,773,398,391,195,330,103,333,456,
651,690,787,838,544,559,967,944,926,797,060,507,094,196,546,061,216,012,499,
166,563,315,379,163,898,770,498,150,720,220,432,169,208,422,509,835,989,669,
301,456,184,761,068,188,640,119,633,782,695,496,551,757,150,691,701,563,877,
462,177,862,954,202,959,767,182,225,184,934,644,169,562,486,367,517,386,148,
937,126,609,654,298,998,359,727,503,067,142,963,915,829,287,953,114,916,141,
628,927,226,231,045,508,292,092,685,233,887,791,942,116,507,189,971,079,608,
825,392,304,560,704,118,081,832,718,621,290,726,890,660,267,766,909,112,628,
599,175,055,076,396,268,550,002,887,886,106,868,695,559,286,404,090,746,869,
378,225,471,441,218,403,860,791,970,719,252,168,945,671,397,053,524,658,866,
764,016,183,851,972,690,590,338,422,864,481,392,002,462,517,918,826,084,521,
296,792,073,406,527,649,261,046,851,038,194,904,317,198,108,997,751,139,822,
994,408,566,939,433,345,095,334,104,584,308,360,755,074,168,404,655,219,065,
765,278,319,271,666,841,415,573,350,931,677,547,882,800,954,243,485,920,780,
934,729,398,760,417,233,257,705,502,847,254,454,508,970,009,177,625,478,088,
079,688,116,581,738,995,063,673,540,317,827,880,816,738,785,988,339,623,103,
228,783,622,876,679,962,039,932,588,880,772,568,839,657,504,919,014,282,961,
040,354,252,190,398,997,119,276,347,680,200,231,588,908,063,891,461,575,367,
725,266,749,708,384,932,043,603,314,597,757,672,786,896,212,637,835,830,817,
836,695,483,997,280,663,353,216,365,338,231,621,092,935,421,705,263,121,040,
645,214,791,759,180,358,715,982,210,176,936,571,123,524,348,366,753,115,752,
030,758,935,858,926,543,745,725,751,557,019,367,089,965,918,786,188,477,897,
187,548,231,635,219,044,988,508,578,121,032,204,383,500,886,664,848,518,819,
355,355,665,571,331,313,820,130,614,841,835,754,191,745,971,605,419,892,661,
876,478,707,643,278,219,585,209,048,707,470,199,147,182,185,956,054,514,535,
289,653,504,013,879,553,542,346,731,372,956,264,164,234,298,534,940,646,513,
744,749,417,736,173,318,638,785,887,732,737,338,588,318,033,282,380,187,308,
703,145,425,822,817,942,154,725,670,354,473,167,209,319,271,843,900,175,904,
874,682,989,927,000,491,968,297,642,127,138,606,058,372,930,860,031,790,012,
197,432,131,517,374,816,071,414,020,909,279,862,281,568,207,851,031,462,093,
902,615,021,093,040,911,831,290,733,525,737,365,809,308,122,537,042,694,559,
880,736,761,902,648,944,588,317,031,377,982,111,802,007,029,877,164,994,791,
321,048,646,316,598,503,542,579,728,010,129,961,973,225,067,614,234,680,045,
662,529,680,852,438,884,103,220,275,599,385,070,676,736,235,111,711,127,307,
117,709,670,478,377,542,248,716,517,289,252,335,995,614,531,054,942,065,563,
758,955,640,268,342,491,445,702,853,140,128,158,388,698,284,321,607,433,024,
628,241,530,750,486,428,340,487,131,388,489,624,933,652,339,157,725,417,110,
764,087,776,262,938,618,570,774,751,806,786,240,756,602,148,192,571,230,757,
901,864,598,888,420,954,065,936,999,285,375,848,199,701,112,946,553,028,993,
019,427,494,553,889,578,365,995,812,926,180,353,438,736,394,170,064,009,935,
082,792,447,188,066,473,397,442,608,613,670,669,160,335,253,408,193,510,849,
929,430,273,388,008,711,709,299,987,752,553,645,527,341,472,032,228,916,629,
059,512,965,771,343,180,852,760,771,960,490,457,996,082,170,612,819,603,142,
273,865,171,704,144,770,517,046,900,772,241,263,841,505,062,572,516,604,232,
081,937,816,787,656,180,222,057,519,199,843,246,285,031,544,168,368,245,297,
027,114,166,963,345,417,899,789,383,905,606,207,479,739,679,712,968,653,887,
406,446,844,514,161,825,240,775,311,338,547,535,939,613,742,418,035,492,431,
008,237,513,923,753,324,820,526,288,472,210,132,281,635,046,554,880,524,876,
487,911,116,298,579,176,966,942,168,658,848,261,145,027,016,167,473,418,394,
243,243,834,214,318,687,099,903,241,220,398,751,723,777,608,950,956,900,898,
047,230,049,939,171,120,404,992,363,064,798,217,061,130,449,844,095,062,986,
686,319,726,048,799,538,506,950,114,884,234,713,484,542,718,554,003,548,651,
632,519,895,091,729,568,198,121,229,935,777,091,727,910,190,096,674,365,886,
704,109,486,571,072,026,315,311,350,521,052,227,560,264,011,624,659,923,799,
251,992,341,565,917,337,115,163,115,420,107,934,620,816,404,480,242,963,296,
803,452,630,856,454,991,450,978,258,337,781,980,606,958,221,798,028,549,668,
509,746,097,574,250,115,618,768,366,401,578,397,180,575,706,897,139,001,689,
560,486,111,964,918,070,029,648,789,380,269,345,793,422,500,699,316,611,875,
658,834,125,393,072,798,570,627,266,847,693,425,940,282,536,331,966,371,088,
818,582,150,988,850,661,326,701,928,786,967,201,234,412,046,560,765,119,966,
502,904,101,909,848,752,007,272,575,579,170,780,318,191,950,476,278,771,202,
969,590,633,450,166,141,758,502,292,414,788,053,952,699,420,932,139,068,189,
496,804,136,960,271,249,405,261,088,643,590,177,503,892,321,894,512,938,895,
995,542,102,525,939,721,265,661,404,258,135,562,076,205,786,522,921,307,443,
832,725,017,027,127,037,415,967,187,618,225,318,675,501,209,387,002,452,014,
966,493,914,540,732,741,163,882,159,258,742,708,999,662,096,658,257,418,364,
386,643,552,447,499,757,550,049,111,142,057,738,968,278,492,748,184,379,925,
534,378,363,854,094,114,577,793,800,924,297,215,453,597,210,282,055,304,135,
665,975,418,081,971,016,920,726,513,791,391,157,250,257,073,840,451,550,094,
904,587,973,798,775,262,817,701,211,900,005,568,892,134,187,189,335,178,487,
108,222,254,212,892,703,215,465,265,583,962,224,750,897,348,435,047,641,949,
980,077,600,492,808,063,025,251,015,485,721,010,118,652,140,456,877,405,812,
288,603,924,060,910,931,248,477,849,097,734,128,129,930,329,593,557,822,080,
657,307,988,172,897,559,497,204,822,092,308,973,924,031,119,128,099,883,642,
567,173,202,145,444,536,229,950,931,273,463,789,530,029,347,312,412,142,423,
215,128,858,386,033,328,687,330,570,166,238,573,698,909,126,236,941,516,815,
085,642,643,802,108,566,251,395,545,493,484,638,820,472,439,303,696,894,424,
005,812,510,865,228,649,054,675,783,267,336,834,892,089,766,453,730,978,202,
913,347,381,204,742,130,171,162,060,743,955,168,475,743,378,800,295,686,102,
013,484,853,978,288,509,183,458,240,218,268,719,036,244,476,081,058,560,478,
383,883,799,741,427,528,172,422,033,427,497,014,455,547,621,627,569,524,165,
454,694,504,865,334,099,489,766,223,172,894,675,253,839,781,796,301,820,274,
288,573,725,632,404,839,241,088,738,503,751,827,628,519,401,055,952,204,586,
876,132,270,332,353,974,364,932,394,646,844,223,277,948,093,182,245,685,343,
094,414,508,307,086,016,774,193,959,859,162,896,639,892,048,725,171,119,097,
506,324,984,846,667,315,441,035,660,291,702,347,067,572,835,669,518,744,310,
651,490,447,430,082,810,831,715,353,177,307,119,955,206,046,029,107,309,692,
429,102,930,700,375,872,188,776,452,132,244,088,092,775,285,929,638,990,652,
067,666,414,115,899,277,761,588,293,130,161,164,744,370,805,991,297,726,625,
557,705,589,238,646,671,561,338,892,526,231,546,833,303,992,548,355,219,602,
654,486,173,105,402,360,695,694,239,151,441,689,907,978,268,224,120,113,639,
066,942,865,790,800,510,138,250,862,279,569,506,939,384,316,383,998,692,350,
604,241,543,982,092,288,948,887,047,350,256,547,792,883,618,984,213,669,094,
513,618,135,372,798,469,530,690,257,656,844,384,068,518,354,865,311,720,565,
025,815,350,866,668,308,723,586,578,778,695,881,860,432,375,522,222,492,111,
738,181,231,345,830,882,157,068,284,928,194,658,549,251,039,158,359,519,170,
125,987,176,463,082,764,970,115,041,630,715,477,280,061,369,629,598,732,078,
527,859,445,971,858,714,744,392,678,347,229,172,161,041,310,626,608,646,619,
847,065,514,647,280,669,395,700,690,487,697,970,769,066,322,361,730,834,022,
864,452,042,085,215,173,980,945,857,119,052,570,172,801,909,835,841,193,473,
516,328,078,518,887,876,891,172,069,560,599,993,974,267,624,157,366,463,428,
239,313,060,694,577,219,110,620,972,195,179,563,296,241,846,733,013,682,440,
601,652,640,526,010,712,320,524,184,297,280,767,138,057,428,311,820,078,749,
071,355,334,883,791,305,535,144,306,556,859,740,976,886,818,476,239,791,859,
740,909,789,237,350,472,919,738,675,714,881,499,655,281,060,331,852,373,218,
236,555,889,471,937,289,145,951,563,279,288,797,117,601,465,527,175,065,762,
784,978,549,797,039,191,733,902,315,089,470,235,587,431,971,748,774,701,842,
041,384,569,075,755,756,295,536,561,772,782,870,304,260,009,504,475,512,020,
460,647,560,870,708,080,885,637,223,954,481,219,852,960,759,844,998,069,133,
068,068,341,521,331,729,963,110,974,458,604,387,090,117,788,736,237,950,961,
001,938,697,645,526,857,151,671,065,686,947,067,519,504,755,369,727,082,577,
024,326,471,781,036,430,804,150,112,522,149,367,327,934,325,326,039,254,242,
343,785,995,828,593,475,298,234,200,454,432,300,732,238,593,568,617,669,796,
868,231,297,817,526,696,836,315,085,776,188,110,725,892,042,823,408,887,919,
540,865,449,079,348,527,166,856,809,401,265,868,923,453,832,438,033,897,896,
934,808,837,062,443,597,969,885,080,635,480,088,002,747,777,387,376,098,382,
352,560,758,305,707,423,867,926,797,140,004,832,756,059,994,665,842,294,717,
604,004,505,905,541,078,887,382,705,882,258,044,696,740,387,460,764,920,251,
412,901,400,691,396,757,209,336,283,364,224,137,572,917,622,962,969,547,446,
240,096,587,995,101,725,329,593,666,777,160,663,210,298,492,812,394,355,328,
744,660,324,874,086,676,019,907,413,839,510,458,836,457,960,760,452,656,679,
386,556,923,013,782,911,736,461,781,439,868,795,615,933,599,719,864,307,245,
639,742,266,900,599,023,497,518,351,210,716,438,548,067,174,392,837,493,994,
885,076,382,449,783,558,417,451,573,269,899,618,048,712,187,348,536,747,058,
164,100,856,597,709,636,215,003,447,273,249,836,772,170,059,479,423,335,863,
631,365,092,660,330,556,840,074,660,590,216,298,544,813,296,336,158,403,012,
599,197,342,576,714,494,080,435,962,453,193,842,020,149,628,512,241,860,864,
029,176,929,948,455,899,443,346,558,526,707,330,970,306,594,837,191,889,898,
033,629,149,550,043,418,466,359,123,668,596,252,575,854,685,570,926,853,879,
097,153,629,753,197,726,485,398,084,982,234,266,547,820,290,103,636,158,461,
974,345,186,441,627,684,456,125,812,016,612,583,455,186,766,527,558,985,057,
785,002,261,291,456,990,987,005,458,678,222,030,978,001,387,648,065,251,265,
471,317,862,897,585,064,260,257,382,910,918,315,865,720,601,976,729,435,593,
177,593,576,700,826,942,791,502,218,979,554,900,589,760,174,854,718,339,180,
795,873,167,055,566,758,750,766,737,392,475,680,899,954,077,741,337,031,316,
591,307,725,922,810,512,407,958,796,651,956,179,495,557,387,334,690,695,969,
768,008,445,656,217,055,706,377,022,425,950,800,414,324,066,998,947,661,901,
019,480,378,868,498,288,149,286,082,507,061,417,482,770,351,703,691,469,421,
547,696,919,788,198,284,195,380,920,432,714,563,524,272,081,586,567,089,433,
305,480,834,742,178,292,517,100,405,768,008,993,308,694,870,211,338,937,636,
981,038,374,888,706,543,744,915,855,843,139,001,577,637,063,915,061,744,166,
310,389,054,814,051,927,746,483,741,243,284,708,191,504,529,093,755,104,002,
877,213,602,492,396,865,804,316,898,576,397,741,030,184,253,309,619,759,903,
916,085,415,247,389,454,167,003,809,236,918,435,092,223,945,879,036,937,488,
814,185,116,200,094,150,071,900,562,752,298,798,628,946,957,480,358,258,455,
438,388,151,578,507,651,560,369,100,453,373,979,153,383,517,353,168,032,947,
545,237,704,030,152,412,721,769,163,492,969,363,132,554,680,442,281,682,091,
693,410,437,243,332,087,635,034,382,159,488,111,025,789,158,381,116,119,732,
684,810,895,619,331,219,780,175,490,928,209,012,583,588,430,022,639,682,751,
390,006,489,170,165,256,368,311,687,761,412,078,605,112,304,055,577,206,359,
478,837,668,465,691,024,753,531,310,488,252,978,838,597,093,639,048,544,622,
858,012,997,587,278,892,161,748,028,927,305,358,890,992,545,702,666,286,696,
593,340,554,583,446,400,798,669,860,458,391,064,584,573,812,514,139,843,431,
654,035,584,648,346,160,996,712,558,884,553,659,649,000,203,432,955,899,684,
143,028,490,716,863,722,604,928,357,017,924,179,774,692,081,097,701,465,189,
461,849,705,260,216,840,250,565,667,710,263,128,842,107,367,732,065,536,888,
840,661,686,367,720,281,479,223,084,611,774,311,149,713,994,662,252,865,876,
648,753,296,538,436,454,226,100,707,646,921,292,144,260,696,585,404,348,543,
067,901,129,914,325,097,463,750,805,999,208,700,484,396,495,856,948,876,896,
868,246,682,147,138,752,373,138,401,910,045,102,684,714,398,487,467,408,619,
266,384,934,363,097,179,124,394,662,234,636,890,180,107,357,919,421,947,163,
723,997,026,898,649,301,920,056,905,316,614,692,254,229,147,286,232,968,018,
317,798,064,747,171,708,093,515,230,517,970,801,763,112,480,037,921,283,695,
330,504,080,328,750,530,903,691,354,466,302,381,578,334,271,866,988,776,902,
181,122,963,562,097,139,167,294,717,081,212,338,213,407,671,077,440,948,956,
570,917,593,157,983,011,614,010,741,360,114,314,701,501,544,587,546,994,263,
639,350,143,589,974,319,592,804,847,885,799,077,960,237,270,593,183,601,198,
555,038,583,875,018,982,185,989,286,886,817,984,768,028,032,155,765,657,262,
242,164,253,966,194,692,286,182,420,354,901,476,869,837,768,630,662,409,723,
917,100,704,727,918,456,298,358,552,667,950,622,979,466,820,244,173,763,774,
091,417,203,541,340,688,413,067,522,671,973,652,388,280,701,344,323,164,869,
249,063,287,139,930,692,620,640,857,012,331,199,139,086,643,225,409,793,610,
599,057,103,579,314,423,206,846,098,226,755,490,069,868,865,401,147,417,025,
873,082,771,077,700,685,892,740,401,796,476,374,457,313,587,412,397,017,419,
859,616,781,265,330,376,927,740,568,314,073,596,315,870,110,293,393,027,928,
631,779,454,409,392,898,336,225,834,460,274,821,170,021,467,154,184,240,054,
205,910,104,342,188,900,191,009,842,822,655,072,073,999,907,219,509,912,857,
913,038,405,434,209,683,474,898,441,381,209,443,004,185,396,431,190,670,762,
985,541,123,394,126,981,459,962,074,036,853,258,532,392,429,273,222,291,637,
567,829,448,858,861,654,275,844,574,970,974,277,781,951,368,829,491,072,611,
461,628,548,270,877,531,147,378,235,387,907,791,141,316,433,882,593,683,199,
743,208,266,890,565,894,925,126,414,792,135,665,444,181,567,061,286,230,648,
080,823,757,863,877,489,302,231,186,952,667,111,353,664,320,810,441,010,410,
540,535,352,694,485,425,600,181,773,088,898,981,367,595,669,945,858,514,390,
614,209,051,832,961,639,644,340,920,235,516,318,179,968,582,785,064,970,245,
076,715,641,352,373,427,818,479,527,554,548,788,793,957,562,463,255,049,395,
555,259,499,737,128,179,618,347,865,310,964,628,350,003,961,100,101,383,282,
153,967,936,846,015,139,462,648,013,704,195,043,479,324,695,593,364,827,860,
015,771,152,974,680,558,061,651,677,529,245,900,508,224,934,159,015,841,383,
091,482,280,664,792,821,513,974,892,673,356,097,096,349,693,053,032,325,917,
161,923,515,976,780,645,574,441,174,843,687,276,360,631,830,534,792,145,144,
198,238,442,549,733,562,411,938,409,790,464,573,897,143,515,020,054,143,641,
032,537,265,557,391,717,300,062,429,657,581,735,446,049,843,189,313,439,597,
695,247,390,037,233,741,491,900,563,064,689,159,282,405,627,205,462,285,511,
789,828,525,451,271,131,842,320,104,377,210,722,203,179,110,688,404,019,978,
004,889,085,438,790,271,787,242,256,372,817,463,839,630,418,657,799,552,507,
911,804,460,099,379,782,883,601,150,945,079,136,472,477,604,799,631,673,480,
123,933,347,802,336,445,804,846,713,144,091,240,565,996,314,859,029,181,069,
444,655,953,829,081,072,375,997,272,803,748,641,973,922,046,068,657,687,478,
011,289,611,447,179,187,907,045,214,394,677,471,227,681,414,638,262,104,584,
439,345,262,875,732,126,085,253,587,145,445,637,461,602,748,867,791,618,838,
264,652,007,089,565,801,533,949,135,484,220,544,972,628,095,993,582,665,414,
602,268,179,537,441,211,342,698,277,455,290,326,498,925,626,010,247,272,478,
704,929,985,753,222,919,365,681,428,648,872,280,724,304,815,339,394,114,664,
558,879,866,065,188,897,998,022,175,233,847,200,093,803,020,715,938,135,382,
025,055,020,549,449,066,277,875,539,404,887,624,993,852,222,976,579,047,515,
009,806,723,970,317,872,482,830,500,453,208,088,729,147,891,437,018,056,349,
834,169,573,676,338,592,282,970,506,132,653,831,070,782,375,705,583,736,365,
782,241,225,443,108,302,575,203,514,700,912,697,817,810,793,545,748,238,384,
517,011,158,058,725,435,538,614,393,926,308,719,123,496,402,696,771,890,092,
207,122,694,335,611,977,473,315,208,012,970,273,074,460,430,705,904,591,742,
236,103,713,025,069,340,466,989,176,941,543,076,161,034,203,084,149,203,601,
999,342,541,058,755,634,862,146,684,672,201,862,239,954,639,517,225,533,979,
314,090,090,472,264,954,211,626,690,790,372,748,436,729,941,416,195,345,516,
097,148,667,960,074,416,406,708,178,748,028,299,719,610,947,544,367,862,771,
985,806,477,231,784,866,155,666,387,231,527,653,157,151,723,370,928,427,171,
724,609,394,608,226,862,564,193,743,520,184,357,798,175,963,273,796,492,891,
039,302,597,957,942,144,567,309,491,514,593,789,229,740,599,889,008,975,060,
305,535,403,025,191,343,518,016,870,324,664,731,985,560,298,899,543,380,806,
627,306,730,502,866,211,540,441,911,044,395,475,913,730,729,632,748,971,028,
367,183,229,894,661,470,413,811,580,151,696,790,742,137,822,512,778,024,386,
397,511,179,262,465,438,485,317,939,723,670,096,855,107,450,905,584,331,913,
092,837,502,523,258,930,885,208,625,675,833,579,947,836,427,699,586,052,511,
748,878,051,194,393,342,915,774,232,400,012,816,443,996,841,153,022,343,777,
803,063,283,764,022,089,659,823,444,512,163,493,245,969,763,448,422,630,127,
227,462,411,093,072,426,323,733,560,530,089,617,078,151,230,597,096,699,334,
281,901,164,189,288,088,461,908,469,503,999,396,431,674,001,663,137,981,093,
908,190,754,177,764,457,016,809,981,111,777,892,693,259,559,573,334,776,941,
141,662,639,932,937,787,681,586,119,008,084,642,387,199,296,218,031,015,442,
313,086,334,486,096,746,769,946,535,257,395,461,943,820,451,115,831,522,070,
868,569,089,858,695,402,080,975,699,314,160,754,256,730,964,114,367,833,330,
199,483,082,970,663,716,804,139,460,834,085,501,033,505,355,253,753,212,773,
435,827,370,848,140,463,368,723,850,146,751,856,803,438,147,864,852,931,871,
872,098,272,241,289,980,064,647,636,600,390,651,801,653,438,631,597,496,021,
851,780,794,866,215,899,220,977,631,307,649,518,453,273,045,789,343,356,767,
627,782,299,808,700,620,530,692,227,951,089,400,168,516,511,641,088,318,738,
660,701,960,634,325,435,339,010,258,640,538,349,014,387,118,466,860,704,391,
567,412,639,332,597,729,123,470,758,434,368,429,774,710,214,795,492,936,508,
497,521,379,306,880,345,152,024,655,472,359,454,926,432,270,612,763,919,325,
680,841,111,910,758,598,909,554,207,177,281,952,879,250,049,709,245,533,431,
931,503,882,285,696,552,082,479,225,713,246,844,723,714,491,025,979,623,710,
542,007,756,029,790,475,487,214,206,762,785,212,483,071,188,508,655,060,506,
100,883,322,834,572,010,653,190,627,282,539,849,105,487,516,614,542,232,127,
815,686,868,114,173,066,429,171,976,861,117,640,184,426,684,946,146,408,763,
127,683,842,668,301,021,885,956,733,437,972,124,328,022,000,956,152,101,267,
337,268,144,406,085,408,330,664,057,131,622,699,646,409,198,716,467,912,985,
285,518,973,865,774,724,338,766,598,927,714,573,669,401,144,198,106,478,922,
123,596,065,563,469,554,639,289,020,206,109,269,441,625,665,717,461,571,011,
339,764,496,086,751,489,452,723,164,183,840,919,961,558,635,661,985,533,666,
587,359,799,845,770,292,696,025,307,806,504,304,589,918,931,707,921,083,203,
839,677,438,575,178,609,802,983,832,313,910,297,013,018,037,162,306,990,484,
586,976,095,067,519,805,844,474,746,047,925,783,117,739,646,615,791,662,663,
507,289,670,821,724,526,062,238,551,859,338,388,196,552,713,185,692,931,365,
037,536,413,792,974,192,870,221,055,041,288,166,155,325,410,466,493,251,747,
006,882,662,722,315,051,331,960,185,807,398,893,385,104,906,450,972,863,173,
770,732,965,305,924,582,839,557,530,234,056,759,152,004,301,887,521,380,407,
972,562,277,467,314,669,471,175,995,094,270,641,507,216,060,040,090,196,158,
979,319,159,929,113,278,362,415,772,694,668,884,025,018,825,774,391,704,376,
060,814,226,825,837,150,490,436,716,528,402,430,560,019,632,300,904,904,912,
723,759,758,614,707,993,151,679,287,646,891,535,353,813,891,797,132,124,465,
029,124,576,051,357,689,165,379,277,514,075,723,886,537,168,668,257,474,883,
204,966,482,137,565,800,000,450,404,097,782,603,483,833,736,751,549,962,083,
647,064,313,388,065,236,067,704,310,458,415,487,743,410,259,405,944,852,581,
635,147,792,276,768,972,748,865,563,832,702,534,035,854,877,815,494,663,434,
524,910,081,577,530,797,804,788,236,623,094,710,418,027,983,898,648,645,328,
483,973,569,068,303,247,597,980,942,366,477,561,460,944,469,692,080,856,091,
407,683,844,662,597,969,886,653,863,881,945,410,608,849,306,662,949,184,366,
737,659,967,331,378,113,815,995,057,846,577,963,424,591,705,570,495,151,597,
058,230,221,666,069,774,681,932,735,926,593,300,211,310,119,536,386,258,120,
362,803,736,055,737,957,448,160,689,796,674,921,651,032,514,437,580,058,774,
122,032,916,244,720,371,039,857,810,444,743,566,851,959,703,235,225,713,162,
883,663,744,841,493,473,240,944,415,858,968,479,240,500,224,569,199,926,793,
595,764,259,500,061,824,145,191,639,399,291,711,438,271,560,443,182,920,307,
941,195,546,183,905,337,220,418,274,070,651,842,110,448,546,135,946,034,855,
823,198,934,556,043,953,943,527,969,890,823,172,534,351,357,262,724,537,906,
532,670,491,036,099,576,637,420,207,323,916,093,095,835,330,254,556,384,910,
322,545,243,102,494,713,772,677,218,269,328,098,249,529,687,453,443,917,071,
812,120,115,883,461,637,790,707,813,456,649,001,232,985,583,053,764,501,816,
439,988,544,700,764,170,117,966,515,256,580,966,033,221,182,317,146,053,339,
326,026,465,379,894,341,926,824,343,952,144,435,760,792,165,496,464,627,893,
839,642,063,856,233,720,164,627,785,824,922,740,405,470,679,430,866,017,963,
694,521,799,900,817,551,369,196,206,137,319,075,854,988,501,291,943,223,086,
553,270,328,806,308,840,778,336,358,327,932,308,093,382,357,096,534,910,121,
616,164,980,123,585,927,415,385,475,404,023,611,657,806,343,053,068,816,678,
791,768,837,645,178,750,617,760,473,094,252,211,183,941,500,386,018,940,900,
389,023,978,940,320,626,646,241,057,739,371,364,422,528,372,416,959,774,638,
771,719,370,690,557,785,852,599,970,561,617,573,380,230,193,088,019,975,067,
637,834,577,082,628,255,994,083,816,900,501,303,048,653,113,777,480,644,125,
591,950,365,248,576,134,355,287,686,203,037,766,809,843,561,413,247,901,910,
072,579,454,303,816,608,762,636,388,470,310,971,512,740,694,681,636,928,055,
596,491,527,425,117,065,761,032,772,362,510,947,843,671,409,083,930,189,607,
451,025,051,116,940,131,860,989,332,956,681,684,580,214,466,895,116,771,181,
921,051,697,525,546,849,397,351,848,683,956,671,236,319,827,392,943,051,651,
456,497,697,890,177,245,069,539,145,779,674,677,826,158,506,603,360,191,539,
548,513,714,245,316,790,842,210,001,032,613,904,756,983,926,374,802,446,685,
470,770,370,390,461,689,019,730,144,463,961,841,398,612,485,281,472,289,845,
793,818,560,734,277,064,772,644,152,255,348,145,783,200,351,479,836,978,123,
796,590,583,108,262,062,656,085,066,093,052,347,876,928,503,065,234,769,560,
052,117,811,564,836,872,234,378,310,476,479,670,472,920,680,024,872,410,087,
904,835,477,262,753,066,900,990,120,785,132,501,378,631,370,127,381,315,529,
279,398,319,797,009,340,145,543,731,577,880,810,286,835,540,134,526,597,471,
241,608,251,586,315,388,445,375,188,920,927,108,753,595,590,527,158,905,546,
643,531,127,766,890,662,961,554,322,605,694,580,073,395,081,659,631,388,243,
464,196,700,695,895,382,984,348,290,243,672,123,870,042,883,506,678,476,900,
509,491,212,837,567,106,025,373,757,679,634,788,763,636,671,685,880,545,885,
936,141,615,356,946,043,061,250,126,759,637,037,484,225,685,300,881,648,095,
670,710,093,563,587,675,878,441,563,866,480,202,235,208,271,055,201,206,821,
715,218,109,058,791,247,411,616,096,429,913,551,674,727,475,805,071,258,662,
874,659,051,688,932,601,400,515,480,436,300,918,390,875,370,488,460,133,136,
040,312,524,289,837,454,657,361,530,652,619,259,369,988,113,306,221,855,602,
180,168,266,185,193,006,311,669,065,845,850,138,295,947,910,680,904,000,348,
006,356,011,930,650,653,517,656,323,492,409,439,732,291,775,956,162,578,022,
016,886,428,947,993,361,490,984,702,831,567,135,255,581,289,282,335,807,978,
928,321,771,033,489,581,667,078,884,567,977,727,149,072,336,554,300,159,490,
882,615,147,687,514,834,659,634,469,015,327,501,172,691,471,835,362,985,220,
606,141,278,670,062,002,377,375,124,879,605,753,360,795,971,837,439,749,913,
057,512,134,707,326,881,923,084,318,114,266,853,950,620,144,079,474,206,478,
712,460,229,551,040,730,231,933,494,821,571,446,024,549,835,291,185,953,915,
326,621,373,584,121,016,331,982,223,872,332,015,583,756,074,275,061,887,048,
368,820,616,803,067,069,021,887,160,313,483,544,650,905,658,126,063,929,836,
186,784,627,458,836,364,556,617,730,475,271,134,494,347,842,543,921,313,276,
228,035,008,493,535,971,878,000,248,263,164,473,106,886,228,719,440,727,893,
048,098,795,770,135,119,031,626,426,546,205,794,865,650,725,731,816,789,015,
717,175,238,636,920,348,410,199,107,528,521,889,282,876,177,911,261,252,682,
940,720,667,073,427,940,196,249,856,463,842,644,655,186,294,026,174,182,862,
828,675,821,992,421,162,127,383,486,458,935,347,914,240,251,056,753,525,658,
490,563,513,357,867,204,260,791,973,718,058,303,813,977,638,266,481,547,873,
157,442,414,406,967,094,222,974,030,781,903,881,156,025,768,977,582,849,848,
433,631,478,445,584,248,871,889,834,291,833,563,255,938,237,916,980,773,783,
580,082,319,778,804,170,667,457,329,001,641,297,647,766,998,150,367,354,328,
871,669,902,862,603,638,391,421,115,696,650,008,806,559,587,590,304,526,153,
701,799,124,064,168,960,663,502,085,566,173,966,491,822,420,406,569,647,857,
372,806,192,246,464,580,879,730,018,845,621,652,358,430,405,025,932,800,048,
865,794,311,746,646,028,726,448,410,978,452,173,456,941,595,128,309,546,825,
260,989,286,117,132,843,836,783,990,679,734,578,983,969,055,706,041,108,574,
208,165,784,465,132,214,781,825,825,732,182,518,186,116,095,928,153,217,855,
301,371,884,453,686,635,525,758,907,920,951,523,363,227,584,177,531,064,769,
318,687,863,264,400,248,336,402,475,143,597,264,701,403,021,653,474,505,488,
102,342,156,440,044,574,115,526,119,622,953,251,960,404,192,711,021,880,578,
189,994,141,133,867,037,582,193,659,915,319,102,698,122,387,274,866,730,681,
114,163,568,065,250,093,452,017,559,210,572,677,115,388,291,671,910,037,820,
352,924,328,297,961,792,672,776,839,699,230,120,874,830,002,176,334,478,086,
891,052,518,218,436,768,422,413,717,598,910,730,426,553,422,600,912,103,099,
631,663,355,984,267,303,155,000,503,464,306,970,222,708,491,601,869,655,277,
801,829,476,936,783,453,088,139,516,707,453,415,276,556,238,913,389,679,879,
131,797,980,983,187,694,363,519,915,153,675,509,425,721,154,051,113,504,821,
933,194,890,908,181,842,453,735,867,793,569,123,456,350,158,718,747,301,733,
780,922,454,109,892,648,601,657,438,800,891,231,676,546,421,100,732,399,453,
810,235,317,675,906,673,744,122,320,108,645,526,708,340,193,122,195,339,324,
979,204,512,005,815,150,033,267,001,403,518,606,861,492,744,632,424,095,304,
243,546,076,596,340,541,910,047,983,126,557,036,023,221,844,030,762,037,488,
473,119,185,850,960,917,300,379,882,039,208,318,501,619,811,876,111,163,033,
919,175,749,071,092,650,786,298,751,261,322,394,537,085,500,211,345,304,594,
715,413,247,903,292,097,060,477,336,073,505,391,268,958,558,825,392,686,455,
568,893,612,385,621,711,180,100,874,793,145,851,036,251,788,034,936,673,553,
354,553,784,514,433,260,757,122,179,908,152,075,888,248,912,332,020,229,023,
818,781,760,504,419,306,768,298,864,484,512,119,435,061,426,141,089,842,736,
576,810,822,140,887,396,345,485,770,220,843,099,248,018,430,361,576,409,128,
890,934,571,428,086,604,863,619,015,133,846,041,526,595,842,742,456,216,959,
341,895,349,605,629,473,530,825,262,531,006,627,959,972,339,729,054,542,317,
402,811,072,515,768,135,678,714,874,343,769,106,000,682,724,661,779,793,874,
758,963,958,432,473,014,221,471,348,349,242,480,463,843,343,675,947,718,733,
103,002,163,401,066,637,526,256,114,868,559,851,120,680,253,244,321,611,039,
479,858,017,974,831,979,365,468,041,197,915,419,462,245,016,509,474,339,258,
591,455,220,086,604,244,838,507,908,009,338,255,287,810,428,460,582,876,805,
189,342,847,182,324,631,332,097,109,955,022,531,401,991,920,719,450,211,412,
359,691,576,299,513,841,960,864,407,767,250,767,939,379,472,654,723,873,535,
962,140,567,467,667,324,066,298,401,606,550,087,275,475,778,790,571,275,633,
981,092,243,344,352,950,651,608,306,700,933,084,748,944,661,567,816,352,884,
383,572,519,466,047,805,415,245,999,724,829,971,046,020,559,023,392,827,860,
206,731,236,136,674,888,376,235,862,349,539,717,843,121,999,389,902,055,797,
446,879,032,639,709,115,180,850,165,710,040,377,417,158,024,247,155,289,532,
145,902,620,464,004,238,195,904,233,959,877,294,720,610,742,891,272,259,849,
485,016,059,152,198,726,450,242,637,133,799,933,612,217,087,236,414,753,484,
784,030,983,637,730,708,226,147,535,713,164,750,861,220,802,848,736,126,668,
960,411,029,453,189,707,879,320,509,187,494,591,269,231,335,122,345,040,001,
636,147,872,096,941,840,847,145,925,032,626,292,768,972,087,711,572,178,803,
520,585,342,256,627,909,587,845,213,145,824,626,498,442,937,244,276,171,059,
137,267,449,374,436,568,662,576,895,376,908,163,168,738,255,423,250,031,023,
365,161,559,463,957,622,371,648,389,100,473,800,425,794,597,516,584,022,483,
221,317,171,266,752,145,914,230,028,098,171,553,811,613,602,723,145,714,155,
849,304,972,108,297,995,864,422,759,085,239,728,894,517,043,121,164,996,496,
480,059,371,071,372,393,255,517,973,386,524,199,884,352,361,596,430,267,947,
852,184,785,467,489,852,905,586,134,232,355,486,015,069,440,349,403,972,290,
309,945,819,049,995,263,044,843,570,786,490,577,644,022,508,661,713,902,580,
042,488,658,227,639,006,274,632,404,709,342,989,250,246,721,379,197,377,420,
444,465,427,511,624,753,045,836,074,289,658,352,102,468,271,159,929,597,415,
532,563,289,360,232,045,404,095,618,024,520,570,466,740,755,830,755,349,438,
007,196,995,106,972,215,189,977,454,477,589,964,642,322,846,496,050,089,440,
171,385,730,084,144,384,940,789,236,536,946,238,264,693,511,779,408,971,220,
431,800,270,359,963,631,376,762,775,403,922,297,672,865,372,335,873,727,758,
540,909,467,803,355,024,285,529,115,634,351,955,160,963,603,596,028,320,528,
041,810,107,144,226,619,840,270,623,070,865,477,707,538,740,416,636,838,946,
125,361,646,041,250,200,742,923,418,316,856,143,096,582,514,236,609,329,286,
158,842,267,849,875,301,913,070,309,406,875,758,316,403,126,580,872,732,401,
615,926,293,807,098,278,438,706,727,126,636,913,448,424,273,239,333,776,771,
797,354,044,841,271,592,982,779,848,115,515,913,928,361,938,100,727,998,410,
145,899,929,123,684,672,709,342,863,563,451,651,769,197,272,935,568,614,849,
412,479,078,225,581,950,234,076,034,969,834,645,379,055,382,005,125,509,715,
219,425,113,731,721,485,955,862,351,694,678,917,222,054,746,611,416,966,978,
527,392,084,940,579,320,835,299,556,707,556,052,235,174,199,358,586,432,308,
454,708,394,310,016,065,473,721,756,774,459,298,262,196,315,297,627,348,968,
094,693,577,435,382,484,320,738,252,308,758,324,588,292,020,654,640,069,410,
294,863,261,815,296,668,816,333,296,526,839,911,466,311,007,940,877,331,489,
652,269,497,175,982,054,075,862,592,941,925,815,115,006,390,769,971,890,915,
575,130,643,421,003,348,068,559,658,583,216,338,584,176,992,046,289,484,898,
151,879,095,757,398,925,862,015,329,921,105,304,691,224,997,973,119,607,664,
547,435,449,765,306,713,476,655,036,927,369,023,773,256,476,931,891,056,094,
902,479,201,217,813,715,051,447,863,062,765,342,406,272,483,941,493,166,133,
737,166,885,269,113,173,073,228,190,389,724,412,017,351,164,786,018,040,233,
837,413,059,726,715,761,079,681,757,111,961,199,282,839,569,360,920,714,165,
637,711,176,017,151,443,801,918,522,860,034,157,050,785,630,362,913,371,577,
190,307,106,258,933,814,426,509,361,300,695,118,108,566,212,406,254,540,381,
554,886,055,416,110,602,117,298,773,638,955,015,583,788,487,721,827,545,178,
543,243,097,733,428,438,641,170,478,148,920,017,758,409,358,779,097,227,279,
063,040,552,148,204,721,856,328,765,256,342,005,878,482,578,354,935,752,425,
908,497,655,698,593,953,778,003,956,864,955,963,699,855,893,171,382,151,588,
965,512,738,730,766,881,052,690,160,243,575,090,208,024,485,157,655,814,583,
471,967,162,601,659,474,540,618,936,657,222,778,243,278,293,144,838,299,957,
254,974,607,992,560,768,321,012,336,052,399,887,507,074,270,604,124,911,760,
895,062,944,531,427,801,812,021,921,002,334,606,632,478,856,166,433,450,925,
616,821,554,866,460,798,501,903,348,181,804,364,007,926,046,918,328,112,188,
561,681,687,603,687,354,166,792,500,339,139,314,721,233,168,122,861,131,766,
831,137,395,994,440,890,264,096,922,376,342,925,737,696,126,140,052,863,029,
470,965,275,884,557,418,489,718,304,086,816,843,450,690,782,147,887,566,393,
750,843,344,542,895,544,221,832,230,145,835,659,720,612,194,448,524,722,463,
282,233,709,851,650,430,814,890,873,383,130,350,002,728,980,816,233,452,764,
224,983,170,954,573,974,695,581,830,049,643,738,786,982,338,281,306,849,281,
162,523,041,784,737,652,359,415,849,188,941,627,254,691,329,276,647,710,164,
917,323,922,180,695,960,217,613,329,745,778,748,840,273,573,899,239,375,210,
398,341,399,354,865,738,323,119,257,457,204,184,239,468,265,959,486,845,402,
811,978,390,501,867,012,750,822,353,062,319,420,193,736,376,122,868,710,723,
424,861,548,004,279,497,621,849,845,407,163,980,305,272,014,340,866,431,755,
899,772,931,426,795,428,767,613,076,011,447,607,257,577,328,597,882,440,572,
242,406,938,512,159,840,457,184,268,472,495,428,662,421,158,781,830,352,628,
897,460,253,114,535,865,919,777,655,949,495,933,532,751,064,349,852,723,689,
443,679,000,898,441,191,148,865,506,760,623,153,474,504,406,652,816,178,983,
329,299,747,260,632,558,298,071,843,906,280,489,138,386,997,374,435,408,315,
336,069,217,732,442,544,117,895,137,588,679,017,513,964,632,040,661,781,760,
804,089,244,819,201,368,522,294,013,828,221,408,977,579,671,918,114,865,000,
277,227,272,284,067,538,469,207,399,441,253,946,885,038,115,173,921,661,472,
044,946,168,591,350,339,025,261,057,578,109,429,886,678,205,751,379,168,605,
076,807,697,616,159,768,101,732,555,978,576,147,796,022,836,037,683,818,227,
518,168,148,090,279,917,083,569,186,687,759,205,877,818,794,403,309,419,828,
943,667,572,808,021,925,544,961,790,321,940,753,307,064,443,915,436,976,050,
740,138,774,137,916,041,705,266,020,384,594,619,186,453,939,923,974,265,381,
352,122,867,603,978,481,288,656,714,035,674,598,643,718,773,051,397,410,486,
128,865,520,289,383,216,498,555,375,953,562,593,560,949,957,798,984,623,021,
828,766,711,892,619,866,087,240,821,990,485,477,745,832,610,153,003,470,309,
799,880,298,790,410,676,319,621,787,331,032,430,081,611,965,551,053,828,290,
796,227,749,427,064,928,401,313,003,892,896,583,266,043,372,719,644,631,840,
614,103,119,595,511,415,296,999,244,750,963,412,907,831,320,667,124,743,255,
841,331,418,012,299,250,067,712,027,128,880,858,844,899,318,452,374,635,927,
827,956,144,193,513,665,339,976,618,968,567,683,469,433,785,490,305,403,092,
021,935,950,328,622,558,311,995,775,588,553,611,833,778,413,008,845,498,252,
232,740,386,414,442,171,772,390,975,566,466,703,881,052,025,264,730,124,067,
368,263,011,893,729,997,484,407,141,176,127,446,307,633,455,180,456,752,178,
255,863,043,243,546,160,478,172,382,823,673,156,246,871,358,088,167,646,595,
760,370,100,376,534,456,943,415,758,389,092,069,995,819,843,582,866,709,487,
096,296,176,177,177,319,151,573,001,799,152,582,918,701,959,981,160,085,390,
323,431,315,168,340,916,253,509,568,904,865,140,197,126,037,947,474,760,492,
970,134,978,262,621,366,755,242,511,523,943,868,664,078,457,393,026,746,270,
851,873,891,203,928,235,456,982,082,395,081,342,832,733,593,983,876,274,615,
243,652,463,544,261,679,491,282,892,555,742,160,700,296,197,464,798,902,332,
262,575,352,045,330,171,745,404,211,541,989,360,099,109,119,780,796,493,685,
826,089,977,308,810,326,825,276,457,073,114,809,402,396,215,250,795,809,726,
099,746,014,452,823,178,216,724,579,194,040,094,267,127,399,306,104,683,247,
980,516,216,425,680,207,282,748,075,308,161,075,337,279,116,047,226,385,553,
093,294,784,298,837,258,515,634,021,371,661,653,985,265,072,217,694,982,607,
260,368,581,232,328,371,552,829,605,600,929,856,923,903,866,226,622,904,998,
487,324,371,472,316,561,299,923,361,589,417,095,236,988,573,353,302,854,027,
691,613,189,192,730,886,536,450,101,208,471,556,978,607,360,914,179,110,346,
414,053,819,548,002,885,688,127,541,303,690,090,032,211,899,207,967,190,583,
349,931,883,826,518,400,031,534,041,524,092,079,797,998,606,701,242,685,478,
444,180,518,751,737,347,157,300,999,277,099,992,580,064,194,759,048,696,969,
481,061,557,485,732,165,166,533,437,416,513,853,389,874,979,600,840,535,484,
333,593,998,963,700,628,133,613,723,038,911,339,945,659,207,751,599,542,120,
035,566,797,997,916,279,647,242,333,457,104,893,020,791,602,937,949,749,042,
136,370,565,841,164,426,814,014,485,044,832,499,866,137,249,621,373,849,433,
566,560,075,289,673,574,563,009,867,029,942,738,811,971,522,920,326,409,118,
004,632,365,515,480,101,285,690,550,114,783,789,197,232,179,735,836,460,348,
869,788,792,898,066,814,429,500,024,043,224,820,971,501,353,618,227,672,583,
224,052,164,170,135,815,841,068,179,234,430,997,992,447,666,536,976,663,689,
198,095,695,165,193,654,231,393,840,789,824,030,079,115,634,907,191,897,422,
066,239,827,828,964,070,439,243,462,888,346,026,447,075,519,890,694,505,844,
535,914,037,727,635,554,193,339,536,284,316,855,319,398,804,497,856,813,203,
082,120,568,006,861,685,808,601,635,042,650,494,007,169,299,715,137,556,530,
424,835,025,411,475,353,895,306,600,426,115,748,163,348,717,434,941,111,282,
688,436,030,148,553,720,580,838,207,829,016,726,862,646,922,478,353,976,230,
417,561,125,997,121,421,092,563,352,195,761,669,102,270,492,422,158,874,342,
947,087,275,642,387,273,002,126,467,689,135,449,102,215,860,061,013,490,336,
522,166,656,335,759,078,892,757,391,460,489,020,220,014,259,865,125,067,387,
273,415,260,825,822,051,438,847,716,665,937,873,221,198,865,279,755,559,964,
159,595,470,013,213,390,258,068,536,911,960,223,219,017,378,390,039,709,410,
733,009,985,665,933,572,765,130,147,744,120,030,208,177,693,497,152,600,788,
214,203,366,353,840,099,416,430,193,957,002,351,491,957,678,670,111,897,088,
382,095,708,967,694,600,095,311,412,931,559,823,726,822,069,156,132,167,057,
845,761,825,056,129,130,990,222,549,246,891,715,258,719,441,294,477,623,723,
755,980,357,903,561,253,363,591,101,494,608,372,278,558,900,545,076,568,248,
218,427,815,202,445,131,465,302,123,617,510,324,241,605,683,753,911,322,131,
271,723,532,627,377,634,683,441,264,229,853,511,423,687,985,028,885,656,878,
010,046,047,130,341,694,671,841,417,233,053,115,011,959,040,652,670,205,314,
810,184,863,429,600,273,208,295,706,811,462,266,907,014,263,085,981,766,478,
722,721,458,963,958,214,353,103,645,555,725,641,369,216,586,042,083,828,147,
374,923,654,766,247,453,161,330,991,641,590,076,897,796,034,186,952,130,489,
584,140,414,731,058,024,537,540,543,878,387,861,222,238,153,572,489,053,812,
467,943,752,298,977,259,639,812,879,343,630,859,364,883,684,271,966,538,244,
667,461,703,103,444,705,808,082,269,806,383,795,277,476,420,795,643,495,193,
386,081,429,479,350,819,991,859,217,487,994,305,501,053,638,485,892,202,360,
881,759,770,846,863,724,687,403,341,522,897,602,675,636,265,183,450,923,697,
315,481,417,474,319,500,650,711,006,643,080,086,961,594,251,220,013,518,400,
012,485,049,425,744,798,557,505,815,466,893,567,863,586,422,344,977,451,239,
109,168,175,890,232,305,160,553,193,107,224,135,254,547,189,778,519,751,061,
215,258,862,756,159,078,884,414,333,586,323,127,969,737,897,987,993,316,212,
213,988,417,157,588,411,720,998,169,727,041,845,300,788,853,313,659,397,560,
506,825,532,580,950,711,211,964,904,319,938,623,948,927,847,891,845,119,886,
405,064,684,618,259,141,865,487,593,887,140,922,999,457,937,521,408,701,561,
108,288,597,962,151,099,988,364,752,140,540,493,611,988,947,993,307,603,753,
111,226,302,422,624,537,589,786,404,322,522,963,899,472,713,493,956,086,333,
631,179,529,559,687,689,229,806,435,851,974,749,974,483,382,242,696,263,287,
651,458,261,914,453,891,295,138,073,192,048,331,751,733,555,698,872,097,138,
963,957,522,091,770,586,964,428,776,571,491,129,085,528,607,019,096,619,286,
612,127,565,528,256,286,925,708,188,888,751,005,646,762,189,689,503,723,344,
452,825,409,380,082,466,873,413,079,943,298,241,375,923,387,423,334,174,508,
458,732,951,678,368,809,963,777,627,235,455,534,942,964,287,047,968,986,018,
938,118,113,204,345,550,028,163,584,694,642,175,745,452,002,711,471,307,043,
059,944,586,862,719,039,072,142,655,101,285,654,904,710,344,402,905,193,531,
833,403,056,509,160,588,330,358,332,359,353,445,266,294,515,344,777,281,564,
955,072,864,185,230,782,073,718,485,961,313,050,627,485,644,280,649,044,477,
760,233,037,772,034,977,363,907,698,861,614,389,808,382,465,554,122,604,094,
074,103,506,296,194,333,563,583,820,174,749,653,314,313,116,341,707,903,613,
621,052,562,515,039,261,195,640,246,241,674,224,113,534,820,663,210,611,224,
026,278,624,859,273,758,015,036,904,957,476,221,354,082,160,618,474,950,079,
836,719,789,576,051,368,220,578,394,474,884,499,926,955,617,419,928,127,351,
191,730,550,691,501,212,432,641,131,092,680,476,405,528,544,027,604,858,575,
272,360,604,582,440,749,466,856,285,136,924,588,900,805,165,762,344,958,036,
847,381,250,092,290,102,044,136,629,183,163,817,326,543,284,507,796,312,540,
611,138,466,442,637,259,354,878,479,555,833,100,824,769,133,688,959,685,232,
322,931,787,360,313,333,164,892,285,912,646,855,626,439,865,868,116,990,502,
644,474,084,152,114,480,806,896,455,947,409,296,380,887,109,469,959,013,145,
943,748,811,563,353,259,972,186,566,818,935,208,504,391,783,660,296,096,302,
190,322,943,942,843,925,278,818,389,464,972,677,676,297,950,389,899,387,314,
216,425,705,172,394,065,497,539,090,460,175,762,410,495,667,138,396,601,876,
022,928,219,561,817,293,602,169,164,256,083,814,438,933,504,373,504,879,129,
599,302,611,120,414,266,941,330,634,883,057,250,411,171,058,975,877,158,143,
264,182,187,446,393,735,806,717,393,806,788,329,723,180,306,802,348,497,382,
636,083,217,130,959,736,901,720,335,273,529,626,478,331,144,191,323,837,098,
765,896,138,041,701,825,174,372,017,706,999,971,869,542,340,960,547,524,542,
607,952,793,476,087,627,172,410,488,135,949,921,419,850,224,715,371,234,681,
357,277,603,078,289,803,994,105,424,613,045,601,358,833,582,438,954,657,077,
023,469,725,270,139,629,306,715,340,799,283,857,296,287,240,701,644,978,568,
590,415,937,515,543,432,601,662,718,217,680,534,665,159,559,805,721,257,449,
078,078,255,870,364,973,701,444,116,409,915,504,567,434,099,652,557,634,316,
745,180,394,632,612,375,917,982,683,154,498,367,705,188,495,173,467,477,987,
410,192,121,146,438,004,795,746,034,346,635,252,355,723,513,639,377,792,744,
303,883,825,480,953,768,359,256,578,551,506,641,242,916,452,001,816,013,006,
063,058,092,313,399,207,204,692,205,290,720,018,276,610,816,586,100,325,886,
755,418,959,899,140,591,674,210,501,963,241,398,318,448,283,849,148,927,708,
998,363,564,425,808,492,492,384,357,890,872,451,185,578,485,914,489,640,559,
163,350,785,012,502,053,732,790,709,504,369,708,199,898,315,125,106,100,181,
615,107,552,376,913,280,318,908,800,362,307,903,014,988,136,218,110,782,944,
335,481,110,464,348,418,412,772,996,147,488,282,372,920,534,552,688,773,817,
200,818,390,374,151,850,137,357,270,045,149,666,055,863,106,053,275,248,316,
297,907,997,657,569,923,949,771,902,148,353,368,954,728,347,442,106,230,274,
884,818,185,132,599,145,662,672,838,086,318,141,665,746,098,136,007,621,986,
971,219,879,330,733,605,858,666,707,928,617,663,831,752,912,651,375,981,057,
338,515,894,009,875,197,693,657,750,184,512,541,600,942,963,252,600,187,417,
826,574,660,821,530,901,246,554,335,773,114,546,001,038,806,584,273,771,804,
741,945,346,593,559,584,826,096,428,157,823,306,718,032,227,154,918,466,892,
471,984,503,716,355,820,415,578,120,731,533,074,613,931,497,252,359,739,962,
370,572,540,723,467,874,264,401,958,781,969,658,315,352,216,263,923,950,484,
350,968,895,579,275,686,520,666,441,243,547,248,161,634,886,877,323,823,287,
628,878,699,832,724,279,713,060,453,094,122,257,896,326,915,063,308,519,124,
230,089,519,523,759,296,046,279,580,288,912,113,423,256,435,912,091,918,227,
794,626,486,123,905,452,215,246,847,670,072,443,663,597,491,422,811,705,157,
122,583,544,784,011,134,739,409,852,378,916,072,276,721,658,267,737,641,268,
181,587,038,583,694,131,869,679,660,608,200,882,759,564,696,337,168,984,795,
707,561,340,097,633,178,242,596,142,425,359,978,618,685,147,994,162,282,061,
980,837,711,069,268,064,842,371,660,213,737,416,648,156,303,180,351,187,907,
456,707,085,688,555,958,321,420,757,598,228,134,362,995,926,126,596,417,654,
553,899,764,816,070,425,521,898,512,317,617,889,441,249,283,510,385,354,624,
542,710,411,829,439,319,108,498,464,000,735,465,398,815,459,819,361,948,439,
741,705,915,032,925,082,124,509,244,066,742,972,920,202,480,967,490,527,791,
326,531,560,729,223,276,726,053,282,817,122,401,405,663,396,737,577,067,845,
402,286,753,984,844,737,746,427,723,360,133,292,348,192,741,489,028,508,441,
837,986,626,064,594,557,296,558,554,698,452,721,116,058,342,397,349,851,045,
426,342,430,792,936,382,691,486,120,478,762,177,576,324,589,368,997,687,427,
383,407,783,557,040,740,954,063,235,282,332,666,626,786,794,078,138,223,445,
269,731,397,768,665,963,077,901,352,075,153,861,864,999,760,368,828,412,701,
730,939,524,860,944,304,455,752,898,745,965,445,585,689,099,249,075,719,247,
602,224,657,139,446,776,948,545,878,479,442,557,141,624,450,598,787,875,851,
247,140,607,911,442,745,907,279,173,441,586,994,396,872,480,931,366,744,511,
050,147,575,008,069,551,448,348,965,723,638,900,191,921,880,828,984,143,537,
014,761,740,691,995,986,135,740,739,807,634,495,008,423,537,773,715,056,825,
968,271,981,743,963,261,432,424,459,743,634,756,854,859,246,496,790,087,338,
000,266,668,060,124,982,687,669,473,746,533,375,490,883,331,195,738,633,524,
888,449,421,036,986,291,909,072,470,836,828,560,733,009,908,408,972,753,692,
217,556,504,779,008,700,859,402,208,752,026,679,205,797,055,220,970,698,830,
674,950,983,994,650,932,289,359,110,687,116,476,995,898,209,286,949,450,571,
466,369,894,192,857,571,551,549,334,786,628,442,265,782,273,407,144,563,147,
425,828,155,676,551,289,129,287,075,092,301,760,048,295,021,930,778,682,547,
294,776,464,250,905,386,239,821,441,950,948,725,947,703,278,619,383,758,394,
009,983,320,067,463,672,833,763,538,684,170,123,559,628,063,264,597,172,008,
946,708,418,099,884,808,554,761,210,655,837,414,425,040,886,770,787,621,057,
507,515,141,865,589,487,646,712,877,921,910,240,678,914,556,373,976,835,697,
348,895,435,408,459,895,065,481,063,543,563,372,961,613,715,288,613,107,152,
973,905,551,385,578,359,685,621,994,164,181,872,777,208,353,834,498,989,140,
091,238,187,392,993,332,094,917,122,567,451,508,537,104,096,866,386,181,591,
327,134,698,189,315,123,451,055,945,070,884,970,563,136,302,759,187,121,300,
168,640,947,432,764,450,181,227,347,760,509,525,714,454,402,321,613,733,755,
964,371,760,617,192,229,836,812,108,694,726,762,198,801,187,811,363,076,306,
225,391,148,959,133,292,011,064,099,577,169,101,560,760,496,613,885,014,143,
427,810,103,064,080,552,656,490,894,708,486,631,728,265,513,824,100,090,377,
501,042,235,451,835,245,359,318,366,974,870,410,764,159,592,121,870,925,238,
818,951,027,475,923,848,826,064,582,666,517,459,190,810,433,285,141,489,788,
163,640,011,891,324,548,542,721,212,780,935,501,059,713,022,755,423,720,271,
557,228,086,628,954,387,071,868,447,253,203,968,948,541,390,719,217,330,833,
606,350,063,298,189,114,477,297,685,369,719,208,874,670,412,533,808,059,302,
508,864,252,316,934,479,849,905,080,614,838,564,730,632,487,397,984,226,215,
484,022,716,887,169,996,088,970,507,204,755,229,151,371,567,737,743,407,175,
832,986,539,624,180,542,637,933,740,801,011,379,327,675,536,131,357,385,369,
917,729,788,753,930,746,124,281,361,652,001,647,329,618,715,622,108,897,677,
330,741,190,097,904,760,664,900,178,422,623,137,901,372,401,459,202,114,037,
207,341,160,257,497,986,460,442,315,233,327,118,472,576,608,374,815,639,373,
186,543,932,413,633,820,086,307,800,095,322,076,424,904,102,855,847,855,773,
756,841,512,571,779,621,381,442,699,392,381,007,591,045,798,683,116,124,107,
928,749,772,135,605,297,652,960,104,258,797,069,283,481,285,189,802,561,242,
806,592,323,321,899,621,470,473,448,435,718,794,605,220,686,113,200,013,301,
946,176,325,752,239,108,317,262,076,425,583,782,540,986,140,605,898,820,451,
067,567,816,163,779,580,500,441,487,444,034,519,791,944,073,497,863,606,739,
026,818,084,159,974,920,237,205,095,254,275,163,738,911,461,141,226,892,335,
630,352,699,564,012,110,294,857,573,880,380,633,209,536,587,200,117,662,867,
101,866,492,072,237,757,551,633,800,217,830,487,237,569,837,636,944,580,201,
454,317,649,682,923,142,131,089,988,081,859,807,850,424,934,770,687,248,129,
192,157,760,015,676,029,206,666,442,658,149,513,259,993,798,464,597,528,618,
424,641,765,675,004,166,674,690,179,614,191,921,180,767,263,101,047,328,871,
364,100,161,251,562,660,009,897,073,891,027,717,097,965,892,584,343,130,145,
141,549,229,320,969,757,788,764,891,908,304,919,773,682,142,743,377,439,347,
473,178,901,274,438,610,535,099,204,999,692,266,998,197,378,552,300,865,621,
044,352,636,853,752,598,792,825,696,489,061,316,180,118,306,555,501,590,072,
838,468,085,852,186,148,749,086,531,480,035,183,967,179,505,384,707,980,260,
064,412,968,198,001,555,950,323,241,521,745,129,452,832,111,257,545,919,509,
596,706,898,298,743,976,728,674,194,380,180,139,085,642,474,822,556,384,850,
618,668,643,173,139,861,375,162,930,644,139,362,100,560,072,996,612,005,677,
950,783,420,512,154,932,434,804,988,302,399,348,664,413,761,880,210,605,791,
657,280,398,559,557,815,981,352,378,234,810,223,402,141,254,288,594,385,328,
524,693,964,792,539,291,151,207,110,113,064,634,150,352,499,831,963,276,821,
851,278,637,819,300,321,129,432,813,466,382,798,836,133,842,684,476,951,492,
373,233,250,854,933,172,822,075,702,933,820,036,756,229,270,116,785,640,244,
950,310,020,444,352,786,826,913,970,118,685,008,596,872,968,038,030,066,062,
239,871,236,184,690,162,304,633,363,131,870,755,030,956,431,934,600,304,005,
485,041,943,269,372,528,592,247,520,558,922,172,440,275,268,739,833,416,645,
793,904,891,779,314,482,139,242,945,747,040,138,727,024,791,997,964,020,426,
763,695,600,739,293,585,328,927,062,284,486,078,919,139,945,430,373,732,256,
640,447,632,211,849,324,383,892,088,083,540,000,424,564,839,410,413,613,598,
271,068,901,464,959,735,610,619,661,267,602,792,929,771,180,475,374,724,545,
628,211,965,624,827,783,945,077,702,751,753,639,571,063,280,327,343,516,361,
177,996,748,594,943,983,978,137,407,621,320,707,642,027,265,598,643,249,286,
772,219,600,604,773,589,793,590,455,056,522,656,490,529,796,378,085,589,672,
975,470,736,494,780,127,001,747,938,624,321,161,856,276,729,189,252,179,158,
761,027,886,781,411,823,703,499,373,532,369,599,600,234,350,652,956,085,366,
599,128,773,991,333,816,459,026,687,567,046,668,246,502,774,335,019,389,686,
945,467,011,067,338,720,107,710,748,459,301,950,810,872,639,360,090,390,216,
107,796,189,223,368,795,619,997,330,227,120,197,434,953,471,573,164,179,075,
720,751,029,032,629,025,528,178,746,906,909,198,056,783,914,099,423,197,013,
605,457,233,898,306,484,475,909,704,718,508,291,937,293,924,890,683,882,519,
798,736,413,817,835,045,233,643,624,173,220,624,142,868,713,796,820,461,008,
891,992,957,953,763,763,106,057,700,582,993,473,706,610,369,461,015,285,095,
768,007,748,727,900,788,238,014,658,217,446,416,609,448,398,066,702,662,592,
777,883,662,256,896,876,119,002,578,574,946,218,323,124,971,399,513,653,435,
737,268,861,643,103,973,304,353,697,721,884,938,415,837,494,491,432,301,723,
526,793,916,376,441,276,565,200,093,534,378,701,460,397,810,372,279,700,678,
182,339,658,625,547,753,423,399,094,167,030,171,991,111,757,447,763,183,227,
637,331,580,250,662,410,221,204,454,239,507,517,051,622,287,337,108,770,001,
098,049,132,580,897,258,215,233,052,913,532,433,163,520,432,395,212,894,267,
945,123,047,427,691,292,323,241,206,065,315,236,693,896,566,081,460,316,645,
840,945,686,093,571,656,553,960,677,605,960,227,149,309,820,393,696,781,062,
470,586,079,572,017,892,022,939,944,764,033,141,771,093,960,801,166,209,835,
038,121,542,079,037,909,054,953,011,919,080,331,174,170,059,450,439,013,012,
733,177,645,189,818,340,209,452,609,820,216,383,249,809,957,953,851,564,096,
341,928,901,299,997,882,343,504,242,552,431,240,194,801,347,077,025,198,851,
925,078,682,807,913,655,682,406,149,147,156,380,900,260,588,942,362,397,169,
110,150,958,292,410,219,775,086,126,777,317,037,670,525,536,024,389,243,610,
471,932,421,182,474,168,468,780,262,216,770,230,065,268,291,254,901,064,273,
342,466,713,943,942,282,915,975,700,940,426,015,985,313,865,918,126,074,568,
792,434,381,398,435,836,488,431,729,362,139,537,141,861,032,843,616,469,625,
302,956,494,036,872,932,568,312,916,906,416,042,351,513,282,078,173,460,504,
402,573,535,708,862,827,552,716,037,544,570,475,596,884,391,643,981,201,060,
563,792,212,552,772,165,635,962,453,205,350,664,099,970,246,490,450,797,707,
080,604,881,761,635,924,031,751,151,879,457,258,732,400,634,434,762,920,282,
534,178,014,014,869,164,050,085,409,869,558,269,618,302,618,878,443,687,053,
631,661,819,050,731,827,121,514,613,072,108,136,769,787,541,620,194,429,908,
997,760,968,312,424,270,059,122,906,872,683,193,498,656,671,749,830,227,297,
309,597,809,316,148,583,936,702,857,917,958,226,787,417,627,265,139,632,029,
472,520,383,833,387,524,287,704,501,354,441,202,702,713,961,076,366,487,296,
088,261,346,472,245,126,988,422,347,214,307,258,084,225,753,554,224,025,855,
547,608,214,659,930,281,676,155,196,984,981,555,397,787,124,507,267,454,055,
850,518,932,447,168,929,677,720,713,104,117,003,987,346,782,828,840,662,070,
332,504,846,432,358,223,976,863,164,239,494,928,420,468,986,405,954,425,658,
773,528,558,465,093,090,732,662,303,075,332,008,078,047,687,863,448,258,609,
653,313,960,652,369,970,076,942,587,296,926,551,827,013,402,453,699,589,605,
307,940,369,196,419,473,332,307,456,232,764,030,467,592,860,643,899,821,440,
313,645,751,566,853,691,667,198,096,556,646,122,163,424,502,395,604,375,492,
615,591,128,712,248,556,447,180,150,300,412,766,950,447,819,811,797,386,961,
226,654,383,864,615,165,735,707,359,484,237,743,293,854,101,544,972,152,227,
877,797,343,477,953,992,167,074,314,790,438,309,296,095,053,514,805,315,049,
419,814,244,222,294,856,773,416,319,343,890,230,376,728,536,822,556,475,151,
092,851,777,274,650,749,536,150,133,320,437,556,137,911,015,325,088,130,487,
239,495,638,696,495,604,353,206,977,059,845,680,476,860,041,891,563,225,215,
109,640,658,091,597,937,746,863,187,538,190,415,083,253,167,887,799,289,750,
176,332,905,343,832,249,687,172,391,851,865,918,545,613,448,945,179,191,934,
571,819,735,271,554,928,910,536,776,769,356,906,593,121,733,740,616,240,142,
855,405,330,706,131,169,875,174,439,336,121,867,674,327,825,925,134,783,117,
373,777,245,072,167,663,741,561,740,344,339,401,582,355,867,580,487,415,605,
882,905,958,329,373,304,866,463,417,527,103,132,293,829,242,830,590,609,709,
397,802,799,015,111,496,943,791,605,107,263,725,503,665,884,279,502,007,105,
882,090,533,888,579,215,222,145,908,472,086,433,671,669,716,091,198,403,987,
837,272,537,387,836,155,863,986,832,547,611,296,993,029,010,174,468,111,778,
843,072,389,600,445,594,142,162,249,772,207,191,573,175,720,554,293,974,103,
845,312,094,133,180,317,977,911,840,014,648,915,792,969,436,655,051,067,848,
224,441,144,006,674,453,034,683,048,402,614,549,412,338,139,139,255,292,080,
544,366,103,138,609,438,459,401,586,400,362,951,488,212,698,632,241,506,696,
920,599,810,120,823,632,881,724,319,061,081,612,519,790,901,687,403,020,275,
014,162,665,435,297,829,650,305,225,162,933,342,584,319,461,261,622,595,123,
531,988,319,503,479,852,231,933,851,677,325,026,750,901,776,378,846,446,592,
843,269,752,515,208,550,994,227,968,526,963,053,169,106,244,317,742,763,093,
810,791,684,236,419,967,124,375,293,675,031,046,090,050,477,828,806,046,098,
297,440,477,428,384,546,847,851,753,258,954,585,213,297,919,017,810,148,072,
586,719,258,951,563,266,252,416,377,287,054,424,164,280,409,099,448,619,741,
344,382,750,072,292,251,651,040,867,207,555,002,744,822,908,902,621,026,312,
330,391,234,685,013,246,708,932,605,089,440,829,707,163,969,403,863,329,579,
009,310,741,291,916,073,285,781,720,928,069,786,160,752,742,705,787,923,843,
055,311,362,343,104,924,608,275,090,749,422,177,726,378,109,450,962,017,062,
312,207,591,414,768,082,494,606,006,860,547,796,727,908,907,385,961,321,132,
198,315,839,960,943,888,855,757,799,743,815,303,886,771,148,547,075,348,324,
917,938,889,117,577,481,141,725,548,782,089,873,109,874,418,746,064,712,364,
739,540,788,093,135,639,926,274,052,444,728,205,753,190,777,205,782,098,865,
819,315,135,966,776,020,759,824,809,197,751,797,022,443,217,145,759,968,287,
013,187,315,498,912,589,180,257,392,371,888,887,315,465,913,129,632,043,738,
607,635,594,447,097,042,303,870,335,451,930,444,054,219,816,950,193,399,221,
147,289,688,766,755,973,158,520,140,816,088,045,912,754,180,891,859,644,382,
838,400,793,788,461,570,480,951,255,065,147,709,695,700,705,653,264,481,456,
880,187,240,055,768,553,440,878,840,104,148,683,203,389,667,349,064,464,302,
289,742,712,828,713,537,046,046,287,868,001,462,299,201,679,114,539,562,637,
622,861,528,811,668,373,416,897,034,222,628,840,400,654,758,003,370,643,316,
299,357,266,864,560,299,269,299,343,566,179,399,154,480,434,918,458,369,085,
719,859,101,108,640,253,956,043,401,394,044,797,717,015,631,008,798,373,886,
121,317,690,655,608,541,584,107,209,129,581,285,355,610,766,455,476,041,228,
043,748,631,451,906,133,484,458,395,446,572,241,951,359,624,108,264,918,183,
056,478,801,981,681,788,922,836,746,161,721,955,104,739,500,108,451,635,484,
597,007,664,123,653,603,447,665,703,901,941,846,870,540,694,188,280,632,056,
929,971,159,548,869,678,061,254,400,817,785,967,243,579,461,853,784,293,176,
553,643,980,437,103,610,115,988,894,506,953,014,859,940,852,588,395,002,534,
647,310,748,981,127,444,109,186,790,797,991,455,949,713,728,580,783,543,626,
556,128,345,697,877,445,175,221,034,792,249,870,989,107,844,816,261,873,107,
095,997,362,712,595,528,831,146,925,454,727,474,527,666,585,957,323,335,856,
128,503,140,413,989,908,906,359,251,684,638,670,436,826,613,879,340,695,127,
117,640,092,518,763,657,681,371,055,682,008,055,784,621,486,747,765,308,964,
704,601,582,424,774,914,441,902,003,902,399,161,707,085,752,427,444,986,577,
744,290,700,383,221,678,274,805,521,015,733,996,087,757,489,119,330,945,943,
030,702,436,069,776,728,471,924,693,396,133,695,034,414,707,999,578,301,401,
773,132,431,217,776,496,430,264,009,030,994,831,533,396,855,618,740,548,279,
631,935,266,665,158,848,973,640,640,227,393,876,800,965,781,472,398,565,589,
453,869,626,725,811,258,439,935,548,436,182,288,789,133,351,690,897,431,782,
515,667,298,880,728,693,744,201,243,715,330,189,424,322,673,183,788,521,581,
313,318,006,763,416,386,220,698,288,945,839,165,557,542,583,888,315,533,739,
091,640,434,551,685,864,889,336,206,259,037,078,823,248,850,443,103,089,598,
747,754,619,911,744,326,237,732,558,472,750,102,038,281,382,971,163,116,726,
393,809,338,295,518,039,649,198,773,930,387,064,889,909,569,975,899,693,489,
927,649,430,401,061,751,906,432,255,893,644,554,647,179,953,295,472,778,085,
387,388,163,173,574,558,597,245,751,141,357,829,256,248,397,133,769,766,188,
795,691,573,520,966,224,890,883,003,316,820,685,544,374,022,806,138,595,806,
581,040,365,201,665,020,675,404,884,606,187,466,123,469,477,921,812,545,363,
674,566,019,185,787,305,604,131,226,937,760,726,176,032,795,171,031,007,376,
851,713,860,836,761,168,442,179,034,397,552,921,609,990,303,670,710,038,905,
356,692,785,315,528,697,459,030,521,877,995,604,665,838,330,296,593,571,230,
437,829,378,241,204,754,093,031,411,155,660,851,715,262,256,637,015,415,286,
856,429,785,449,612,338,836,386,125,515,821,094,073,464,758,852,665,698,044,
094,150,805,310,272,108,123,144,360,203,902,248,181,220,016,230,072,026,999,
968,738,014,767,403,433,829,529,472,910,854,019,490,356,884,899,971,088,520,
313,432,618,073,754,919,181,464,526,124,080,166,566,014,411,241,622,159,127,
491,796,322,986,580,870,415,019,905,707,860,247,197,312,419,868,987,995,078,
148,529,406,032,788,751,565,332,907,782,081,652,223,605,052,163,658,063,472,
210,378,247,762,881,664,222,130,683,871,176,433,341,308,131,121,259,253,599,
294,438,121,497,031,747,502,431,767,665,575,210,721,683,013,041,720,664,380,
332,124,753,772,991,232,842,214,065,693,522,613,385,729,164,061,559,379,400,
512,207,914,686,318,132,451,865,361,025,861,049,948,574,067,385,306,084,334,
858,875,191,187,113,162,973,577,540,772,503,915,316,215,908,811,596,999,137,
853,117,745,479,442,367,196,224,087,213,975,929,408,019,290,328,994,497,811,
295,699,932,195,405,517,591,725,048,567,159,932,633,394,752,336,330,098,209,
555,239,812,517,124,792,938,347,261,318,475,906,717,341,853,133,073,733,397,
887,459,210,951,878,215,211,732,481,453,959,601,758,617,656,746,473,918,104,
336,507,840,446,260,788,402,346,089,444,093,351,772,264,772,028,564,769,581,
611,142,388,389,174,118,890,537,034,923,231,542,615,850,776,171,453,189,473,
284,277,180,944,369,524,796,141,173,994,665,518,097,337,880,034,455,712,705,
974,332,963,126,819,582,104,493,768,663,111,678,018,475,853,757,726,946,632,
346,777,452,681,634,479,787,605,867,975,517,124,095,553,294,680,202,657,099,
726,553,682,350,959,929,866,820,054,055,691,867,837,160,515,542,051,047,243,
930,971,948,560,411,754,495,802,121,570,428,652,899,983,898,924,853,893,675,
406,515,195,038,624,979,121,252,994,076,448,038,082,829,688,867,271,095,036,
586,861,396,892,025,077,751,934,918,466,278,794,943,285,455,320,852,801,830,
895,101,166,901,044,310,331,792,774,221,142,764,029,761,245,796,382,869,306,
788,801,767,803,321,137,805,065,492,139,245,022,550,083,200,264,703,385,064,
241,230,725,595,032,243,838,149,032,641,608,096,008,951,425,068,809,112,041,
838,880,228,773,496,799,374,281,719,531,892,623,301,929,881,029,775,845,871,
799,443,597,967,856,500,434,599,126,973,840,370,147,649,469,566,774,596,296,
108,803,527,564,184,752,109,008,038,269,382,299,430,568,080,294,799,721,917,
906,438,437,684,892,273,203,201,804,750,357,721,088,384,918,297,251,692,564,
301,226,636,346,640,081,135,993,514,043,199,819,526,568,074,938,896,733,873,
229,809,777,189,100,569,969,905,660,181,540,877,944,011,741,246,915,179,111,
691,460,154,379,721,978,542,774,183,256,456,273,539,868,126,631,089,105,241,
080,290,478,230,673,686,539,809,649,431,511,395,165,939,154,760,902,511,560,
478,957,170,504,642,416,507,669,261,456,380,860,117,116,398,181,963,301,621,
298,750,518,125,415,403,221,498,533,708,290,788,574,447,854,952,218,977,109,
198,101,028,110,154,724,856,441,998,053,733,842,901,809,345,755,850,919,777,
515,847,818,456,511,521,932,359,892,219,693,967,834,986,716,064,745,301,043,
209,840,068,811,439,927,820,491,568,060,280,826,954,554,131,568,310,038,884,
240,308,073,767,698,055,352,123,764,723,179,264,056,994,479,974,915,291,611,
519,491,725,462,898,432,097,859,362,842,250,141,615,185,103,477,191,988,273,
198,774,124,310,122,504,496,837,365,332,949,553,509,732,323,909,155,153,957,
902,288,103,976,542,711,888,255,971,312,754,078,147,706,520,637,734,921,174,
108,744,748,015,091,035,375,379,202,143,353,644,147,833,856,118,034,576,953,
427,120,576,723,528,579,571,421,338,051,330,441,992,743,988,866,975,145,190,
366,770,115,570,064,356,751,310,464,031,299,934,047,700,120,157,638,482,138,
309,752,662,173,010,476,072,045,680,732,833,561,825,966,008,347,511,494,686,
738,084,008,358,614,700,429,749,970,835,197,324,057,770,030,536,443,898,390,
020,982,452,504,549,272,437,762,070,794,776,589,108,488,007,614,627,386,610,
481,807,740,658,809,122,970,696,832,532,310,424,147,742,826,995,813,270,581,
923,254,231,945,894,479,005,887,178,581,086,643,973,850,852,124,122,067,873,
193,904,697,773,511,968,480,600,867,912,029,684,487,170,540,446,918,879,095,
136,251,086,076,464,450,026,802,731,678,609,218,512,286,533,938,178,156,810,
815,050,809,272,548,703,042,829,838,069,498,803,196,101,443,201,195,421,113,
070,564,960,006,132,072,581,661,682,887,955,581,085,077,550,591,384,488,592,
550,792,860,667,380,992,410,496,216,326,107,437,126,217,242,924,094,911,257,
916,571,559,358,726,143,979,673,360,180,705,943,829,667,556,195,620,454,138,
227,842,323,726,685,476,289,212,677,945,754,190,615,266,368,642,248,491,619,
355,722,379,842,370,620,691,580,144,232,460,415,576,803,659,397,052,401,189,
626,730,525,633,862,096,245,765,454,916,752,059,906,736,603,838,120,362,122,
376,705,152,651,023,132,634,710,940,921,898,226,330,436,589,481,865,907,171,
399,823,680,348,668,879,601,181,424,951,372,234,408,162,784,450,159,431,072,
386,963,114,376,887,137,124,038,395,590,228,800,164,776,920,751,464,543,559,
741,940,668,536,248,800,856,158,510,200,578,913,045,248,387,126,353,785,960,
403,947,925,703,300,747,503,154,548,337,299,962,706,309,056,911,416,508,889,
466,012,757,628,857,384,762,988,624,255,497,324,315,299,837,954,858,207,783,
206,008,878,416,815,322,606,033,691,100,907,357,202,804,305,750,002,299,886,
527,268,509,499,860,939,866,890,308,060,194,742,478,790,277,610,443,958,527,
169,075,910,179,409,781,662,588,276,827,427,460,015,991,789,129,636,950,909,
334,211,669,631,802,248,486,911,930,269,192,865,132,635,240,912,904,325,435,
612,504,158,971,432,167,447,721,079,364,764,343,074,728,416,117,616,745,511,
544,340,596,076,629,924,363,135,977,850,591,509,961,788,286,068,483,015,757,
242,626,994,873,338,052,587,385,702,621,753,886,048,625,931,716,662,442,509,
861,327,463,589,742,121,660,212,841,236,468,459,005,232,765,909,017,208,362,
050,361,333,828,261,404,442,184,991,141,162,097,711,871,808,744,176,192,282,
690,796,395,567,278,306,621,452,752,085,213,371,375,345,479,631,371,293,883,
596,657,038,825,638,781,224,499,987,631,860,793,151,364,035,409,484,423,312,
579,631,063,931,852,291,566,068,976,380,452,885,017,182,408,523,744,738,505,
478,403,256,453,079,277,307,663,217,619,095,161,567,454,006,397,835,433,904,
474,840,700,101,155,237,043,804,130,994,190,464,951,089,711,317,518,127,312,
803,658,235,730,112,268,215,259,191,217,798,665,994,139,720,601,805,355,505,
513,745,340,849,100,077,476,455,184,188,234,525,754,238,567,372,579,486,915,
786,254,833,843,702,528,582,866,087,052,159,371,260,901,152,079,283,788,317,
984,702,522,424,413,811,658,471,681,604,120,646,730,794,648,681,445,621,975,
363,024,991,329,843,583,138,287,564,408,248,808,964,052,072,765,124,511,498,
915,529,761,461,209,398,240,200,385,626,255,994,685,856,031,598,469,864,017,
208,029,079,930,583,784,089,441,689,411,077,991,363,973,741,004,093,469,316,
907,058,387,835,406,827,126,219,255,286,019,726,980,105,799,275,693,349,811,
938,599,107,701,440,519,263,823,476,652,291,967,161,680,249,394,103,689,259,
562,399,535,373,512,659,118,796,504,214,116,488,572,844,660,352,818,235,872,
455,122,236,330,092,173,582,849,711,970,906,632,260,685,161,834,537,310,845,
059,451,796,016,680,486,675,419,178,200,667,434,034,334,674,009,845,227,124,
864,138,434,412,716,363,171,706,425,225,771,204,840,708,037,788,769,151,694,
379,343,062,868,204,400,962,733,382,443,931,208,800,405,549,061,538,099,898,
185,500,895,893,155,361,646,324,994,613,880,895,740,941,720,480,190,724,926,
851,189,050,705,025,396,556,479,575,215,170,886,512,367,967,130,214,243,497,
912,945,485,600,474,062,860,853,576,381,472,994,572,596,906,996,944,534,852,
739,366,873,257,436,103,761,645,871,644,225,458,843,652,545,576,368,942,678,
711,384,967,002,054,669,493,675,954,520,872,749,465,365,992,509,221,798,171,
765,577,255,976,625,214,295,118,012,924,007,399,123,023,903,801,156,297,442,
566,208,313,085,770,433,058,904,267,854,841,320,343,977,554,059,761,022,085,
001,727,865,722,717,786,764,265,939,712,941,524,925,074,097,252,084,559,415,
395,000,078,589,730,648,223,417,436,362,225,763,263,158,640,076,832,734,450,
747,253,091,729,477,813,144,928,462,786,140,340,117,629,731,182,550,887,257,
901,630,145,992,168,185,891,025,212,770,842,299,783,115,614,438,921,642,874,
105,593,484,055,578,057,795,445,441,819,866,355,573,102,062,438,539,397,679,
771,601,538,657,238,774,886,048,729,396,196,019,820,456,091,830,124,943,507,
498,114,666,574,006,490,233,855,373,233,195,224,283,868,647,779,252,887,441,
025,880,518,958,770,632,692,840,253,787,139,376,151,431,446,448,628,772,056,
846,534,162,331,877,943,290,270,496,445,529,977,843,523,334,295,645,533,121,
472,670,747,691,971,139,840,983,664,715,787,764,068,443,166,200,785,883,525,
674,906,023,228,047,641,744,419,689,500,735,067,950,470,279,949,430,012,244,
563,960,878,832,894,504,474,810,894,914,796,043,863,313,308,918,327,087,392,
947,655,313,813,603,623,001,815,201,673,035,783,924,168,493,037,062,427,827,
854,273,820,935,545,013,613,472,824,287,430,002,243,606,435,493,726,183,282,
685,627,524,558,226,087,543,809,332,820,581,845,553,176,748,607,560,135,391,
616,590,712,676,000,328,501,735,574,798,988,809,263,779,143,383,898,623,529,
119,528,445,028,852,314,116,639,878,069,248,924,851,356,153,018,829,665,427,
271,647,913,138,243,297,431,110,575,422,419,221,220,504,149,010,202,349,052,
673,314,071,303,105,393,225,123,164,782,052,446,593,943,900,589,398,873,305,
692,055,015,825,746,486,771,418,696,866,174,252,644,624,734,790,906,876,615,
205,593,626,212,221,847,159,531,674,497,145,374,840,198,677,829,820,885,214,
174,091,209,353,262,475,610,436,227,591,237,138,956,430,769,764,160,381,387,
318,420,496,979,510,028,980,613,528,436,768,592,785,294,482,993,719,813,818,
246,434,328,659,832,582,407,857,445,129,059,793,040,200,052,394,512,993,285,
875,704,000,119,043,243,495,421,636,743,341,484,231,387,573,236,641,084,327,
046,926,999,461,926,598,625,774,243,713,430,041,616,630,746,457,191,758,044,
698,052,245,868,587,199,699,506,319,248,638,115,683,853,358,007,064,870,226,
704,333,631,192,466,867,985,140,511,426,479,820,371,176,032,727,149,754,023,
285,172,909,668,252,223,751,669,393,889,735,636,514,105,687,827,617,111,466,
175,028,765,250,728,488,718,614,924,804,697,926,845,874,311,332,089,472,947,
695,062,244,902,027,890,692,482,342,776,853,158,450,752,594,394,671,685,286,
034,596,623,820,380,359,499,865,842,501,357,578,541,517,227,997,861,027,975,
425,829,180,666,781,557,554,629,258,356,466,175,507,026,725,519,492,587,464,
313,461,101,969,819,342,310,580,781,899,454,330,946,453,386,426,615,865,672,
641,144,588,205,839,162,457,252,815,249,673,983,859,992,643,041,117,424,565,
611,327,626,226,061,572,977,683,227,736,310,229,838,314,990,812,465,328,574,
273,447,590,998,464,975,593,550,924,959,015,504,398,649,739,861,889,802,737,
885,274,721,140,753,389,429,575,120,152,110,557,064,495,943,834,740,581,473,
788,273,644,202,812,723,523,935,526,438,188,529,455,253,039,587,570,106,112,
769,186,293,591,943,767,819,338,486,051,121,510,882,437,353,328,699,701,453,
316,878,022,538,508,072,379,223,847,239,774,174,939,439,228,543,123,566,915,
842,560,458,639,044,857,503,373,479,436,392,460,488,686,548,855,767,334,365,
479,430,104,971,662,590,569,645,370,007,452,331,710,577,994,193,362,473,954,
356,016,712,585,923,823,051,658,015,700,846,672,821,779,466,552,942,367,997,
166,822,618,077,473,490,853,675,504,105,999,629,233,185,469,337,186,342,995,
700,290,068,804,659,784,233,209,521,919,935,383,288,680,742,573,927,300,617,
662,294,355,366,858,632,067,201,840,303,215,272,293,822,081,486,284,304,170,
886,765,637,911,345,288,674,537,130,945,197,902,217,984,042,574,817,363,068,
860,652,314,688,978,061,297,498,580,986,938,554,685,313,523,281,847,976,224,
909,964,938,160,090,877,076,795,228,703,384,257,402,599,759,975,668,940,827,
217,943,149,373,741,054,095,275,054,048,930,794,151,206,979,363,011,569,325,
872,165,578,146,027,415,967,242,128,547,211,571,756,967,100,474,717,094,433,
199,365,794,375,444,224,888,610,266,366,572,161,731,482,196,603,670,372,356,
024,025,430,208,005,077,323,449,007,896,318,453,562,108,790,057,254,873,508,
437,891,386,583,161,687,641,768,260,180,488,856,339,022,557,766,105,007,188,
803,314,451,528,703,248,945,098,044,801,928,316,030,427,668,685,919,647,470,
108,702,363,583,272,255,516,747,122,584,455,296,166,635,605,289,996,176,188,
417,172,048,631,276,848,261,969,358,083,840,157,585,547,931,044,324,522,437,
316,262,312,921,938,895,764,673,348,806,628,541,522,522,612,033,226,325,508,
623,609,454,632,142,607,121,411,576,856,706,460,833,448,227,736,610,027,035,
269,160,967,842,501,518,493,592,558,692,391,317,948,904,870,680,664,261,761,
789,806,021,832,250,079,679,200,172,634,700,248,419,670,780,523,535,864,368,
342,700,701,688,083,052,994,744,646,526,862,409,171,975,515,180,618,097,165,
468,495,380,467,344,396,690,580,530,343,309,298,419,300,611,706,628,596,748,
047,113,448,527,428,659,430,507,171,621,316,163,989,837,761,126,262,742,852,
518,687,847,477,694,327,373,009,777,525,559,270,452,063,757,109,393,119,908,
400,669,709,768,058,159,799,492,816,780,180,089,802,664,777,157,610,914,894,
978,004,426,835,170,556,818,810,645,101,187,883,310,921,108,702,359,946,584,
743,831,789,548,593,142,451,516,291,657,393,472,029,589,157,473,462,483,408,
198,142,486,220,618,186,914,358,378,023,619,728,971,426,533,490,211,513,349,
003,904,185,620,955,683,585,095,972,183,722,175,593,827,330,941,028,785,770,
201,749,397,126,411,909,082,545,113,597,631,869,834,948,644,643,083,493,603,
456,179,796,047,492,176,265,198,634,056,256,798,770,575,504,468,501,895,570,
881,962,551,125,540,125,587,672,362,083,011,466,255,613,813,980,696,610,327,
387,664,914,460,407,321,365,001,509,456,680,437,968,365,994,958,943,533,887,
407,800,450,396,282,931,178,130,686,596,723,160,743,512,772,490,925,184,976,
279,956,263,992,878,004,346,176,807,299,471,711,365,366,593,717,467,184,445,
178,565,364,301,232,447,665,704,188,254,156,289,714,353,466,547,687,750,313,
426,449,462,714,104,216,909,670,113,749,115,485,145,712,908,425,972,604,067,
104,118,643,107,558,557,440,139,865,836,029,906,595,934,067,364,753,467,764,
937,237,433,776,934,709,310,640,517,749,432,692,649,580,099,100,460,352,806,
424,306,849,320,845,813,455,824,575,045,431,639,848,547,009,328,516,689,659,
429,534,611,061,007,150,345,736,537,469,436,647,737,299,418,030,211,355,240,
538,689,321,013,909,628,654,287,044,733,934,358,707,903,867,788,553,329,331,
694,812,878,958,374,863,333,373,157,915,095,544,857,352,094,075,472,846,069,
746,182,224,988,687,567,185,921,424,991,651,133,373,533,758,071,675,375,711,
015,475,947,682,134,929,820,928,542,175,891,281,606,858,301,775,485,595,778,
986,147,927,731,047,981,165,604,877,233,921,691,474,287,683,124,095,494,540,
981,919,640,332,677,731,714,913,963,429,120,257,711,213,774,980,914,993,228,
055,231,345,429,629,587,764,648,119,442,348,640,594,405,671,910,875,534,635,
645,601,577,707,988,967,914,927,931,505,677,811,995,809,050,681,773,772,439,
847,926,645,258,064,162,777,266,930,432,944,391,089,449,069,458,790,436,308,
940,114,629,529,088,513,974,861,667,254,311,526,131,623,203,364,786,471,359,
735,464,409,009,645,209,697,122,766,166,169,177,378,807,295,571,606,553,156,
468,484,577,669,144,924,831,328,353,637,105,469,335,941,917,491,122,409,281,
280,638,193,836,310,350,616,908,962,066,016,352,712,272,546,213,046,324,857,
802,645,735,841,420,163,826,559,969,369,532,331,408,012,022,162,964,980,399,
054,319,394,789,821,229,890,869,421,204,149,075,451,194,766,865,279,436,423,
860,336,679,479,725,480,099,422,919,294,527,348,743,621,905,298,826,547,563,
996,964,586,067,539,963,599,908,039,423,556,143,683,980,134,572,588,495,891,
537,785,494,123,270,853,083,119,540,118,154,746,108,263,136,289,653,074,580,
632,411,756,207,105,489,105,828,962,327,924,432,208,942,660,756,827,145,055,
518,962,031,015,033,220,585,882,988,345,534,918,264,274,107,984,670,420,018,
373,389,778,352,425,837,596,064,006,545,530,892,508,561,331,462,017,299,591,
071,204,055,292,337,779,935,161,599,096,878,212,118,752,886,501,397,438,459,
973,699,715,182,818,857,163,456,199,985,112,426,010,267,418,664,897,558,699,
073,476,310,932,599,952,875,055,716,883,657,006,671,982,092,718,430,672,565,
389,039,491,599,150,626,307,636,124,961,604,890,003,059,671,139,699,731,953,
597,294,522,426,273,278,650,003,314,140,875,250,720,726,479,987,249,177,688,
728,214,623,794,275,030,351,230,854,179,620,999,069,735,163,463,694,471,675,
068,097,310,117,874,934,276,860,334,199,868,925,267,849,687,356,762,204,859,
664,134,769,726,642,629,718,828,632,374,332,875,025,356,438,164,226,894,920,
958,616,753,306,897,485,400,361,323,328,128,406,167,575,504,613,243,560,500,
270,971,974,803,968,417,095,584,592,273,528,424,775,725,029,623,869,572,445,
480,952,613,756,208,338,293,774,405,436,984,625,825,639,495,171,577,238,710,
764,965,132,796,787,094,893,924,176,681,791,813,283,985,226,013,560,444,186,
136,611,393,012,866,101,481,900,695,026,843,751,045,636,722,601,701,154,088,
229,084,004,909,940,840,209,802,603,945,140,194,486,926,994,911,234,525,431,
310,023,625,832,577,268,016,523,676,938,730,891,994,315,017,298,527,155,047,
234,159,589,133,002,402,884,872,316,297,571,725,050,370,448,567,010,921,168,
930,331,384,719,811,680,996,233,265,837,233,505,916,379,120,699,652,700,721,
356,533,890,659,870,027,700,290,125,101,566,267,141,981,613,356,834,951,064,
475,234,884,690,197,717,043,796,471,847,888,645,773,006,657,805,977,940,051,
577,965,356,942,650,029,673,299,554,279,798,528,175,528,859,705,852,440,676,
879,125,524,299,130,086,027,353,380,332,750,498,382,113,616,649,980,131,878,
738,708,084,926,504,918,183,424,934,332,099,152,040,214,017,484,314,730,624,
626,005,261,206,713,308,444,462,923,641,143,421,803,765,888,889,678,790,527,
933,329,753,611,847,424,019,338,457,766,388,029,332,323,176,546,956,729,259,
543,795,743,879,914,710,341,563,087,685,479,367,008,388,270,697,344,749,978,
304,666,047,815,106,619,653,643,163,362,934,216,568,738,346,690,780,746,937,
170,237,267,676,020,648,012,773,573,524,830,484,669,354,228,226,159,996,923,
911,348,613,834,822,908,655,307,624,102,636,613,820,262,119,683,206,775,434,
028,692,478,462,890,685,345,377,111,026,338,633,827,644,349,267,935,840,956,
643,753,204,341,447,062,228,348,416,966,956,760,455,049,952,330,461,560,274,
413,414,315,399,125,261,720,437,448,330,594,219,445,870,393,315,020,131,468,
177,809,513,273,350,332,456,347,460,750,815,557,573,960,808,608,032,371,968,
018,655,084,212,596,446,331,128,653,780,269,152,766,319,821,876,338,397,032,
480,196,032,685,831,720,828,493,692,869,183,189,102,054,717,068,604,635,414,
781,428,279,731,275,070,583,239,558,114,141,303,359,126,465,446,881,964,733,
330,735,958,897,436,964,338,987,812,315,843,565,924,914,873,615,718,602,198,
227,723,899,589,699,393,163,540,522,279,134,953,178,426,886,689,302,575,069,
391,817,216,708,710,250,018,992,428,727,965,731,530,363,029,688,274,734,161,
979,315,784,010,555,332,493,814,997,651,217,769,645,373,871,357,181,894,886,
398,119,558,319,149,677,370,901,267,037,716,874,587,740,867,783,362,901,281,
242,869,596,914,214,517,516,819,086,809,055,099,373,285,365,886,067,813,821,
893,551,398,659,177,998,751,005,359,943,840,164,835,522,413,221,671,092,644,
028,613,056,233,566,622,207,581,587,391,584,411,598,324,337,031,060,755,711,
891,832,664,213,968,959,536,187,495,098,884,127,774,433,429,058,984,518,100,
113,782,500,479,819,932,512,370,925,555,904,204,129,233,587,860,026,873,163,
412,386,118,585,742,070,872,977,035,441,658,919,337,755,654,729,598,728,458,
317,712,164,758,548,620,151,896,426,674,906,355,597,804,282,908,727,342,718,
914,100,912,438,520,506,566,775,129,445,042,203,408,328,131,090,697,438,579,
611,202,781,555,279,948,378,393,326,333,203,281,536,828,817,986,265,505,960,
990,376,149,970,443,864,277,220,398,318,904,247,440,685,225,903,988,344,864,
577,742,152,872,511,273,356,891,172,739,102,122,348,448,284,182,179,519,895,
496,836,638,131,404,362,400,524,788,859,405,325,535,599,237,565,742,561,821,
918,198,312,705,661,234,569,739,782,286,370,776,461,297,619,867,324,727,149,
544,334,903,909,356,042,189,274,794,803,391,600,239,495,460,984,991,964,294,
608,580,411,076,705,989,684,305,044,673,312,954,427,887,185,180,111,722,635,
689,794,765,238,723,070,240,528,743,191,446,432,910,211,709,813,363,876,855,
131,599,702,297,148,651,354,863,089,341,547,992,848,170,803,469,533,839,136,
880,559,338,281,731,910,258,902,163,108,911,086,754,468,473,102,903,740,543,
453,508,892,957,234,313,106,156,387,027,657,111,728,116,095,402,348,145,806,
608,825,138,123,311,811,637,719,764,391,904,864,997,408,390,889,069,596,294,
537,771,347,566,129,281,275,256,516,611,101,908,580,385,179,870,975,250,420,
853,334,531,441,611,407,828,601,816,778,655,314,043,643,540,679,980,034,016,
929,482,739,918,930,108,730,168,370,980,200,234,352,772,941,778,418,114,202,
149,142,681,026,085,767,616,786,025,051,867,924,051,289,295,040,071,830,888,
193,761,157,976,807,378,035,900,475,393,543,783,900,202,959,897,386,499,556,
288,028,027,370,573,628,362,980,503,499,111,314,585,998,262,649,167,276,273,
372,291,262,488,909,290,382,777,472,346,954,778,127,216,504,932,424,905,555,
624,918,906,675,663,368,345,451,430,647,157,440,460,263,704,987,576,629,221,
407,377,178,586,637,083,494,409,299,171,699,852,621,953,254,757,821,983,344,
674,015,064,451,255,711,363,826,486,854,488,977,803,402,736,844,276,320,314,
133,891,194,899,673,514,693,755,793,305,781,107,072,896,176,668,029,007,877,
542,444,094,641,997,497,344,694,532,066,338,262,527,818,678,584,335,156,009,
092,695,863,385,561,764,615,062,120,362,874,002,065,842,107,176,367,070,251,
516,858,978,937,868,126,852,577,375,848,610,816,928,532,134,835,062,567,401,
496,961,687,451,036,612,991,349,511,730,491,737,898,764,527,078,397,650,479,
831,889,785,878,749,102,199,089,268,139,759,649,683,067,490,359,593,258,015,
083,585,704,344,289,574,509,134,473,095,039,615,162,706,858,390,677,630,601,
827,315,835,234,951,720,442,600,368,984,672,586,050,586,039,564,707,468,474,
508,118,003,908,660,537,104,488,530,239,461,635,209,027,545,705,961,271,874,
841,791,605,270,539,203,871,876,196,507,396,996,650,759,250,689,436,006,370,
665,842,326,186,951,781,591,013,504,031,128,984,657,557,137,562,418,732,713,
492,032,908,338,931,385,498,190,684,467,250,594,044,027,439,781,149,979,127,
713,602,648,276,714,407,375,306,337,815,018,922,445,206,109,566,059,929,069,
415,915,177,247,328,131,635,699,473,341,672,908,093,707,752,951,694,589,995,
969,996,950,703,669,892,674,468,216,454,901,890,724,052,892,337,148,112,144,
297,627,830,019,779,975,506,515,942,475,305,161,792,948,301,681,312,502,568,
159,069,340,135,906,628,385,976,832,807,695,738,881,847,557,819,124,481,580,
473,569,183,100,491,827,675,568,862,217,232,316,901,741,322,972,172,291,926,
696,832,585,003,844,540,328,443,107,162,771,382,577,873,761,205,552,875,182,
929,508,646,423,146,685,296,943,194,619,555,484,085,395,748,347,473,803,111,
635,631,076,515,170,148,775,506,557,975,461,358,012,165,011,777,085,260,926,
731,848,779,914,184,814,004,205,353,422,541,287,770,365,154,370,838,784,108,
294,829,017,253,747,214,924,072,681,840,522,998,984,164,732,148,224,368,704,
294,168,956,842,567,212,323,041,485,867,360,247,433,686,656,077,654,161,182,
783,922,889,899,639,968,910,030,494,951,291,484,021,854,999,767,256,713,339,
763,204,375,961,066,061,430,277,121,120,437,345,497,802,426,575,028,976,769,
695,502,451,077,962,586,788,367,079,567,813,092,538,565,085,676,083,567,501,
122,486,661,856,327,427,096,820,434,450,754,145,195,186,889,945,426,780,278,
420,321,016,168,911,345,378,204,082,030,357,758,653,821,210,833,356,264,722,
488,903,877,922,142,739,024,150,185,154,219,919,854,783,082,374,225,255,148,
091,980,677,564,199,147,431,468,374,915,875,575,546,472,009,454,586,810,464,
334,084,158,527,562,549,218,675,119,497,857,200,834,989,984,919,889,897,782,
835,863,840,371,190,668,707,115,823,302,233,185,581,076,332,482,979,962,750,
182,390,514,431,959,480,025,323,813,306,343,336,750,923,210,499,913,910,130,
340,902,701,216,580,760,151,302,910,663,905,350,166,854,700,708,625,706,117,
453,150,394,746,858,905,417,032,411,870,552,972,400,533,669,848,398,799,563,
064,032,665,861,209,275,415,807,195,007,276,662,609,829,401,501,803,360,431,
974,444,609,288,085,323,840,389,728,260,584,615,599,696,706,985,529,772,046,
355,288,794,136,224,498,691,727,335,778,176,620,537,868,448,125,216,302,688,
404,356,969,607,750,235,087,116,401,390,043,343,336,541,571,354,286,171,177,
776,135,971,323,202,073,379,799,764,605,824,516,020,532,721,851,324,312,521,
405,434,157,185,683,623,711,543,062,513,328,528,816,936,590,748,473,977,822,
650,033,931,057,468,901,589,317,132,734,031,512,053,789,597,414,019,410,765,
808,383,173,891,078,717,180,860,529,160,630,601,266,259,727,232,666,195,240,
714,849,739,618,955,334,815,889,577,828,290,720,415,763,505,446,688,663,654,
668,214,468,985,782,879,453,710,063,210,535,519,361,375,237,395,566,675,213,
944,155,382,285,263,595,441,730,817,863,296,085,011,931,488,414,530,312,814,
517,156,681,074,007,479,599,553,539,040,322,499,871,843,577,310,080,791,435,
569,895,397,583,050,315,236,703,441,998,914,605,893,977,616,884,823,646,959,
285,627,779,758,988,045,669,705,103,922,414,968,153,503,132,567,287,693,327,
349,253,485,261,456,759,791,345,199,886,981,260,018,645,838,445,849,391,074,
786,008,161,281,465,862,018,562,863,661,827,717,217,562,781,611,940,451,982,
412,398,006,572,874,299,511,659,476,363,550,327,630,871,322,084,135,703,175,
912,970,727,667,380,193,796,614,376,206,577,096,370,959,507,004,046,628,629,
528,103,070,257,713,408,658,140,908,768,548,577,244,374,375,812,848,638,590,
695,761,002,999,971,166,009,764,582,524,497,328,138,124,252,493,663,318,908,
592,900,125,975,511,636,424,179,069,701,609,159,433,540,445,756,816,367,035,
740,826,529,492,447,918,556,992,729,150,207,273,942,318,167,347,155,458,313,
369,107,149,878,670,322,777,606,647,864,119,819,324,058,679,648,814,039,951,
886,494,951,231,645,041,899,108,168,377,885,257,136,319,604,373,787,683,382,
513,836,950,065,589,269,003,634,978,127,064,821,910,085,256,205,221,345,694,
365,784,325,275,324,113,073,792,258,427,841,290,675,586,470,924,467,188,853,
507,149,120,593,500,000,682,261,972,984,959,895,052,693,591,359,369,234,839,
329,579,413,200,540,952,920,173,391,117,061,182,362,732,074,946,124,411,417,
539,660,126,210,248,234,153,047,051,272,510,587,510,633,025,774,119,364,495,
223,562,584,071,252,825,254,396,054,213,078,319,778,417,826,020,817,366,481,
820,750,291,148,804,833,387,421,620,887,228,610,690,052,340,597,418,838,299,
190,556,463,119,563,257,656,928,312,117,490,873,090,431,784,159,618,230,403,
811,882,634,437,044,583,943,962,255,874,413,598,391,175,351,794,284,148,153,
757,489,341,590,283,850,307,491,840,326,810,179,920,938,168,736,302,536,223,
373,454,528,430,314,036,586,048,032,199,751,642,695,468,370,845,169,862,096,
152,685,001,254,161,851,636,485,655,957,468,174,316,150,718,317,576,484,132,
257,921,531,815,894,710,787,177,263,755,983,467,644,770,912,916,491,022,696,
181,102,571,659,667,706,716,247,556,604,204,426,153,947,918,832,604,486,235,
903,006,378,524,758,457,628,837,942,704,745,872,184,896,209,448,269,292,684,
721,496,514,800,998,306,070,242,680,499,615,085,219,870,328,476,163,243,140,
541,295,299,388,914,059,780,174,188,093,632,236,274,397,502,414,377,730,866,
377,028,223,971,681,417,879,726,801,854,848,618,285,541,866,345,363,528,339,
088,385,737,564,304,554,779,086,444,760,577,513,426,529,310,038,936,524,110,
213,770,538,362,560,718,835,262,274,940,140,071,525,813,690,272,420,147,464,
979,927,341,928,109,219,536,977,885,624,712,618,579,870,984,429,689,987,764,
711,066,275,539,788,268,592,589,393,285,541,995,443,281,285,286,112,117,401,
402,338,261,860,773,359,010,332,677,252,691,578,572,929,827,119,703,420,196,
795,862,026,032,113,230,974,738,573,714,818,921,153,146,140,187,456,841,188,
252,464,989,792,347,869,275,902,868,041,115,944,752,567,283,636,454,982,464,
453,278,344,210,765,455,388,879,624,165,930,977,144,835,932,651,274,014,283,
501,655,977,045,968,132,147,209,377,777,021,096,146,399,101,834,907,860,051,
924,342,129,727,485,398,810,094,415,687,648,288,641,675,769,723,523,150,163,
882,104,601,511,052,410,994,698,390,641,453,362,809,342,132,122,190,106,388,
987,190,161,362,251,613,781,191,195,276,766,617,152,127,871,027,623,635,179,
734,147,234,934,792,399,132,082,228,021,663,596,708,797,981,111,647,936,389,
687,937,308,890,964,729,107,197,759,398,418,282,841,656,841,812,053,143,140,
491,873,064,778,933,740,382,765,741,248,797,023,254,487,628,317,315,750,389,
205,279,192,584,356,762,920,481,616,800,538,010,654,402,118,567,541,147,895,
878,681,937,608,161,631,070,721,544,937,312,235,937,765,328,414,568,773,566,
230,982,710,127,889,604,396,954,170,950,363,259,452,488,954,401,669,905,495,
247,928,954,568,003,960,968,931,764,626,033,928,822,506,651,408,187,031,329,
368,530,111,866,940,988,418,853,203,526,550,798,669,168,663,604,437,702,678,
576,937,394,412,455,880,682,275,432,635,608,499,737,449,033,818,845,204,399,
876,234,131,657,714,278,221,212,827,966,827,147,564,040,255,438,086,113,730,
561,319,962,623,950,662,595,793,381,940,757,349,904,342,662,195,207,366,251,
674,022,549,086,784,704,359,829,612,706,973,420,507,987,824,996,640,013,745,
841,365,946,192,011,931,305,282,259,269,764,924,690,166,769,961,517,707,459,
412,269,619,301,812,192,102,553,632,583,416,260,921,695,181,090,555,537,810,
733,356,073,753,109,070,042,486,084,271,704,486,547,347,982,396,672,380,685,
829,135,780,124,654,990,802,384,301,401,506,159,820,836,851,354,626,276,936,
608,840,870,221,038,019,912,444,407,485,359,382,780,571,140,627,553,808,142,
739,715,072,148,238,891,253,490,483,946,507,999,137,700,152,185,657,645,059,
304,405,568,396,202,278,070,921,607,276,712,133,539,634,190,538,719,213,224,
498,583,720,536,724,328,862,526,454,129,899,636,181,525,761,440,112,258,414,
527,698,792,204,841,363,971,303,672,280,007,339,510,743,868,037,012,340,592,
417,950,127,710,465,849,251,406,376,411,060,713,098,172,924,621,736,577,363,
624,963,355,234,299,939,392,029,327,158,329,497,082,942,157,263,427,009,257,
289,277,636,253,098,843,216,038,111,226,824,284,333,994,465,539,526,848,536,
723,531,247,107,356,079,714,955,864,405,364,236,298,800,679,363,581,371,486,
956,204,856,196,766,063,274,471,054,773,295,261,929,197,508,586,817,452,255,
964,730,042,444,256,655,226,308,141,475,248,607,984,649,696,003,290,654,287,
027,328,522,271,478,493,505,347,678,162,127,471,106,023,486,692,005,213,023,
336,574,814,414,524,068,786,521,806,556,195,266,539,260,250,183,746,728,294,
190,865,855,855,040,473,301,672,605,421,215,688,513,555,723,144,700,861,363,
438,026,943,523,588,681,568,363,958,180,255,055,064,266,630,937,693,144,054,
226,013,320,508,831,734,116,429,061,879,348,680,066,247,094,540,628,010,450,
947,701,775,392,818,900,042,181,338,926,003,787,544,448,673,051,608,898,518,
622,605,823,061,574,224,233,120,891,642,906,608,388,269,302,171,341,727,892,
385,674,613,233,007,308,214,804,400,032,722,285,735,813,910,660,599,290,298,
701,898,806,956,507,300,876,059,783,756,522,105,341,942,251,826,929,402,510,
458,357,394,318,068,907,205,694,256,406,462,643,055,899,971,119,701,207,424,
582,981,986,157,736,939,287,883,767,685,050,845,466,068,608,102,705,660,879,
667,642,123,651,908,981,204,996,944,226,180,122,750,740,484,869,459,677,478,
308,713,606,121,905,463,877,327,880,336,212,262,959,109,476,255,732,663,575,
204,715,472,695,528,153,029,398,606,129,364,978,645,764,402,830,289,811,174,
556,592,245,541,901,538,477,354,325,440,993,756,633,553,829,622,373,671,818,
455,757,681,637,479,915,707,079,993,356,550,669,411,364,157,544,278,300,602,
679,654,465,708,240,883,319,046,717,425,872,276,726,202,159,879,269,216,735,
357,508,795,252,873,059,197,257,200,111,857,418,239,449,573,552,019,339,949,
709,761,797,149,430,536,091,828,120,478,200,907,810,752,426,755,030,182,647,
326,637,854,240,044,040,570,054,857,551,079,872,064,203,392,758,231,452,308,
175,041,392,413,745,045,900,151,008,813,509,609,373,599,071,951,578,495,856,
822,312,413,056,902,258,314,568,353,445,305,898,410,058,221,814,592,984,718,
554,901,602,998,061,344,867,582,261,830,470,932,799,266,582,946,471,052,979,
605,654,335,276,651,443,340,146,094,955,186,670,219,258,571,998,962,655,496,
327,380,168,524,928,578,215,997,113,491,442,132,743,556,096,920,152,283,366,
969,622,610,875,832,706,350,576,689,815,240,225,489,508,715,714,830,595,886,
055,703,360,099,453,298,812,577,710,139,533,608,291,476,200,401,367,367,511,
590,979,523,194,089,753,902,275,692,064,729,137,537,158,515,179,252,299,398,
575,831,690,677,900,823,619,344,603,818,471,063,069,056,130,474,131,888,676,
526,444,906,572,810,464,565,358,551,116,952,284,161,521,241,327,047,601,678,
454,875,970,209,953,618,463,405,653,895,221,724,059,639,372,076,116,202,632,
743,150,335,217,250,148,151,890,189,358,498,366,881,494,852,241,283,311,321,
611,866,089,473,920,643,594,760,520,647,450,732,368,491,063,402,279,231,822,
035,837,263,571,604,909,902,468,892,984,977,333,235,800,127,358,924,328,240,
571,341,741,414,641,995,335,586,490,113,983,962,908,800,173,297,974,841,639,
877,556,068,812,638,218,316,063,290,218,778,281,035,740,688,990,161,719,036,
378,062,693,996,273,996,563,229,943,222,120,979,127,113,026,633,413,961,138,
649,239,680,226,219,571,330,571,236,690,463,256,788,012,469,014,590,560,861,
844,699,719,253,009,232,599,324,679,089,262,511,861,235,685,235,239,778,363,
495,236,256,840,799,063,395,334,287,550,290,040,040,940,339,989,880,848,258,
566,117,303,841,551,220,740,944,134,239,871,059,265,234,021,404,037,334,566,
681,704,667,199,545,984,451,709,151,638,865,157,585,499,989,345,353,357,738,
080,761,614,872,446,110,957,334,032,175,121,739,016,969,292,814,373,041,608,
920,066,019,131,137,114,092,893,304,948,213,353,281,896,779,786,932,500,762,
300,586,109,836,674,437,483,811,026,942,839,407,314,416,116,357,165,600,479,
211,197,501,164,280,042,117,014,145,513,106,307,092,546,181,793,698,750,740,
350,615,951,398,392,735,473,006,100,751,840,325,229,099,299,996,805,203,193,
095,679,721,992,696,341,247,683,585,739,164,972,909,190,734,410,528,797,240,
215,825,447,467,759,054,237,646,854,323,370,036,168,906,966,525,648,806,096,
882,279,782,786,309,383,654,469,989,203,280,170,408,024,268,247,694,512,803,
434,135,773,483,533,545,401,386,759,433,060,676,763,681,436,833,194,783,413,
565,020,366,961,458,918,370,194,078,544,214,440,794,437,666,503,849,127,098,
723,301,553,541,918,740,304,953,260,223,232,072,414,178,913,000,508,980,716,
580,537,650,140,608,993,777,158,633,992,622,198,791,412,900,812,877,967,086,
089,724,158,339,472,870,671,809,163,018,059,853,058,598,267,919,954,395,258,
520,918,165,436,995,848,321,504,142,811,925,774,730,899,961,652,819,844,939,
524,044,756,664,544,132,696,854,684,704,500,746,674,166,489,814,901,211,661,
381,741,636,418,966,406,939,682,151,910,825,060,630,369,230,683,077,046,544,
072,180,480,290,289,404,939,843,287,362,350,332,922,406,884,343,757,524,812,
061,157,109,348,673,962,234,286,122,412,267,565,532,563,636,327,730,981,347,
811,306,289,075,122,975,144,520,077,239,881,377,923,172,012,915,489,113,245,
688,706,484,279,594,390,104,937,360,774,786,158,994,149,172,346,714,959,417,
773,607,883,228,635,018,971,694,390,177,330,044,231,059,024,010,864,070,077,
780,242,424,927,399,070,784,370,613,779,547,360,034,091,563,706,640,918,899,
191,226,347,809,519,335,800,159,900,492,533,804,339,402,569,839,060,954,419,
519,003,515,681,523,438,217,877,690,640,013,314,369,807,355,100,760,566,352,
957,914,468,209,856,924,914,398,187,701,837,519,882,053,100,068,665,458,502,
615,811,774,602,190,442,696,474,715,476,775,758,651,138,967,863,685,260,791,
698,285,404,539,119,909,168,182,111,442,727,397,653,733,623,161,572,746,650,
198,447,988,189,070,238,818,902,479,453,518,560,799,891,586,726,492,288,409,
853,721,240,165,179,768,943,262,202,931,184,249,481,351,749,715,909,348,536,
640,228,431,649,683,616,003,583,773,907,372,843,101,848,822,439,597,074,742,
389,203,392,045,088,488,986,848,169,294,818,986,657,058,535,887,726,879,074,
039,726,528,734,518,604,686,254,340,159,798,921,308,824,262,403,826,860,982,
241,100,486,522,568,874,272,148,673,569,013,828,942,840,520,981,260,121,667,
402,318,609,282,782,593,191,398,194,095,366,018,860,276,183,447,780,222,275,
070,457,303,242,226,620,230,949,092,537,157,031,254,237,297,239,131,418,661,
066,836,922,339,044,171,344,168,054,544,403,100,816,776,101,287,042,627,767,
825,621,205,197,642,311,671,454,221,754,740,216,494,334,474,990,334,933,065,
350,721,727,925,765,846,566,716,740,103,138,918,989,040,117,732,661,675,871,
381,203,201,531,660,924,330,018,051,723,312,591,293,517,366,338,576,599,292,
812,765,197,791,833,060,947,034,700,835,874,739,781,562,595,681,261,745,418,
767,338,129,897,168,956,903,296,077,571,344,575,320,374,851,687,914,067,598,
457,079,920,137,560,406,903,712,112,666,161,103,325,345,912,300,719,846,903,
773,883,352,606,479,789,423,430,663,258,691,224,368,968,428,424,052,666,289,
668,763,017,761,878,759,615,864,631,944,158,407,531,054,116,296,775,809,897,
948,703,817,696,609,366,245,662,094,555,084,743,027,851,745,961,044,804,214,
642,250,086,433,950,488,054,867,107,538,983,956,204,564,106,438,758,084,408,
663,982,370,159,478,142,750,259,262,046,001,723,797,981,656,273,369,591,193,
213,029,124,779,413,817,627,132,972,555,724,111,292,867,974,196,721,467,538,
205,120,485,966,069,953,279,256,738,421,934,218,920,258,897,699,056,716,906,
407,655,215,811,922,666,664,840,782,925,748,218,122,455,337,258,861,820,480,
777,573,186,030,429,291,532,882,553,653,008,612,446,769,800,130,426,387,654,
400,266,601,477,734,423,600,934,737,912,821,365,691,417,704,837,747,164,254,
144,248,729,120,455,438,591,379,433,442,730,406,254,049,934,608,357,366,737,
470,871,111,802,190,505,970,648,069,043,177,965,722,458,684,421,212,104,018,
390,479,132,129,010,279,830,667,110,201,686,664,800,872,555,650,860,871,336,
803,577,268,791,586,731,353,303,619,157,961,469,728,197,433,274,564,509,689,
222,815,069,684,664,915,282,707,737,134,947,051,279,925,214,204,097,380,816,
241,971,068,617,199,132,582,349,735,385,044,201,756,989,813,859,547,563,888,
734,933,195,565,734,511,968,107,934,040,825,093,878,978,937,154,684,191,407,
135,252,416,046,167,531,987,946,775,679,855,413,173,411,973,661,579,102,234,
375,339,526,790,837,213,540,583,582,724,593,841,881,807,730,152,413,736,376,
063,642,876,053,939,146,792,534,104,296,595,952,002,276,694,431,256,085,157,
798,355,584,200,523,548,549,027,267,248,074,057,146,145,554,109,477,049,504,
068,253,729,001,548,956,217,246,772,557,754,181,470,451,331,175,296,031,367,
777,753,002,882,902,330,453,453,152,110,381,449,639,076,672,348,487,571,709,
024,827,577,280,037,608,745,426,394,412,258,174,414,716,831,889,287,416,571,
171,679,502,724,743,024,920,596,746,231,033,488,131,371,984,931,670,520,896,
957,283,315,276,905,443,014,812,102,078,363,837,112,806,091,626,440,699,268,
768,119,382,325,860,812,430,731,650,138,579,841,779,600,884,430,586,948,762,
248,762,525,357,628,807,796,121,757,203,594,434,104,119,405,026,475,741,326,
243,268,558,940,977,903,640,693,271,740,105,471,491,831,675,772,741,057,604,
639,791,287,239,764,866,911,593,728,819,664,512,569,950,689,087,479,981,169,
932,969,266,140,477,062,387,221,449,760,208,635,513,719,187,606,206,080,915,
315,427,195,106,386,882,811,767,723,038,202,459,939,635,828,958,952,739,769,
244,836,619,374,398,646,166,392,425,646,257,088,654,835,383,359,100,991,229,
969,228,325,544,715,304,251,104,127,093,255,923,656,811,823,547,149,910,484,
549,217,891,584,037,363,675,648,665,733,028,780,404,515,668,738,978,145,641,
676,016,895,455,976,135,547,431,828,839,206,989,944,178,846,742,529,697,135,
615,963,553,567,676,550,229,579,347,142,721,863,746,448,937,913,962,859,422,
045,017,086,014,340,139,442,125,565,791,323,734,225,910,292,133,827,222,721,
217,912,583,046,232,727,778,448,103,562,254,974,353,357,793,297,596,608,465,
017,287,691,906,267,824,486,439,462,634,072,086,213,832,471,468,649,804,830,
310,354,933,353,807,060,194,754,600,383,359,668,018,340,180,073,005,929,338,
081,695,442,646,363,638,692,393,515,554,135,778,925,057,057,786,723,524,067,
687,236,313,286,609,543,706,065,021,519,139,728,049,782,952,323,383,244,947,
462,050,834,553,134,397,447,549,770,864,646,074,580,999,395,707,503,517,850,
737,768,026,750,307,242,678,623,891,820,337,896,133,130,292,636,996,027,727,
785,366,964,760,048,781,743,458,257,917,848,926,883,593,858,632,708,430,679,
115,328,623,937,730,597,759,781,550,789,633,722,638,329,197,286,601,175,205,
155,030,537,339,484,393,330,197,043,816,960,939,567,224,818,640,322,574,039,
275,701,388,377,342,165,531,943,163,704,522,979,180,777,653,235,885,976,191,
757,830,653,440,776,564,529,394,832,208,762,280,905,858,552,833,388,580,542,
488,203,063,934,614,701,270,616,364,543,571,977,944,415,969,704,945,938,023,
759,310,613,330,462,883,361,075,428,981,841,085,786,323,153,059,336,484,691,
219,661,675,951,520,262,404,626,839,879,502,415,203,115,299,898,089,153,369,
236,628,459,841,339,634,198,798,193,868,175,845,801,419,145,981,209,587,238,
321,241,022,308,208,826,874,455,204,062,677,772,147,116,235,106,510,288,775,
354,854,867,723,167,614,610,198,611,387,959,296,050,367,150,147,916,995,016,
987,287,182,047,959,083,677,883,274,946,590,051,012,130,213,145,935,774,946,
677,883,514,016,753,513,430,244,984,080,269,331,941,832,505,578,750,525,697,
285,986,842,848,934,499,514,702,057,171,777,535,470,651,599,155,487,550,985,
223,488,058,242,009,840,052,222,618,774,701,463,132,578,009,547,704,876,781,
711,536,963,059,302,868,856,123,657,846,840,698,733,446,951,289,217,159,911,
352,729,001,425,025,025,611,145,577,274,159,508,859,514,794,918,416,522,931,
131,215,731,034,265,973,577,835,414,448,032,561,047,630,306,812,487,661,748,
952,157,643,462,795,371,680,457,554,064,005,458,316,288,229,998,610,944,774,
250,382,603,738,361,074,868,064,489,686,687,137,528,492,338,022,082,567,817,
067,547,996,559,667,366,183,931,894,620,050,964,577,628,604,793,309,601,186,
244,185,919,257,754,000,893,446,378,024,406,213,999,062,449,250,992,578,926,
283,894,360,543,077,640,944,875,983,145,394,666,326,952,086,510,347,480,772,
777,438,757,498,721,483,538,550,527,918,706,490,100,216,471,944,743,180,987,
273,534,971,413,528,967,067,438,691,597,909,088,311,132,191,551,494,434,775,
692,387,476,196,626,833,114,033,022,938,945,120,202,362,941,261,923,776,556,
347,735,357,501,152,812,485,402,394,346,073,170,736,848,267,878,591,006,878,
180,881,606,134,474,151,163,252,742,075,094,931,195,834,600,999,734,720,936,
865,473,965,794,280,776,648,845,489,196,018,540,977,775,140,699,795,328,951,
691,196,053,212,264,147,377,053,406,780,184,857,880,566,482,258,214,329,375,
368,302,304,805,138,251,497,269,734,678,956,086,913,329,026,808,509,918,551,
865,321,175,208,381,019,806,768,450,674,955,461,230,947,845,964,614,601,583,
820,462,037,496,225,573,104,295,483,449,860,384,517,382,656,908,393,299,208,
344,757,546,282,929,063,057,885,577,417,656,795,263,462,622,049,923,849,570,
812,821,992,501,479,405,016,953,311,330,803,948,400,252,464,232,095,225,674,
572,658,061,792,693,386,401,143,832,697,946,289,644,805,517,933,344,905,862,
905,537,609,657,091,732,416,867,627,582,501,656,752,922,800,415,172,309,699,
938,294,611,851,001,338,345,112,877,873,793,700,239,675,282,510,683,850,606,
160,010,469,713,934,189,883,436,611,377,474,218,333,326,909,301,767,170,701,
455,115,899,626,993,316,093,902,500,816,279,418,272,330,000,167,323,723,693,
865,746,212,207,907,145,092,830,938,363,317,623,571,878,386,073,195,020,972,
535,938,147,387,818,988,067,104,066,835,566,249,083,349,446,277,813,095,883,
773,616,514,035,854,525,376,413,594,373,504,513,727,379,991,335,895,764,883,
897,566,865,868,736,188,570,649,048,764,148,249,155,740,349,415,631,566,118,
857,540,398,120,207,141,661,643,549,186,224,099,670,037,019,929,491,565,660,
988,042,117,058,037,529,831,094,130,683,102,728,157,864,314,123,017,098,421,
298,230,064,638,837,986,049,804,746,590,901,967,528,324,638,646,102,288,756,
714,718,109,314,561,595,361,799,358,452,865,231,133,699,658,264,666,074,039,
273,069,618,846,603,083,347,818,936,667,746,825,618,952,622,642,070,377,512,
430,945,177,998,444,816,807,838,265,777,417,951,766,513,593,545,687,313,597,
116,031,820,266,472,271,359,789,637,072,929,248,363,537,141,181,711,597,648,
450,045,990,242,142,178,211,993,000,381,381,546,991,543,597,674,645,430,235,
867,385,608,526,792,942,464,750,983,364,791,938,493,388,594,025,776,405,000,
992,368,509,457,373,757,781,397,177,727,417,961,175,069,740,988,727,356,400,
176,520,448,291,112,352,213,717,983,428,629,288,236,653,743,695,975,404,069,
625,694,330,754,669,901,007,918,543,275,116,912,399,141,426,755,764,263,654,
814,210,384,860,223,020,215,907,144,594,409,424,633,745,855,564,840,551,863,
537,091,609,991,848,552,919,199,713,546,051,018,750,464,867,060,938,614,821,
782,438,966,579,789,735,532,846,853,669,689,693,614,489,334,936,839,632,520,
554,301,352,906,442,423,287,217,335,489,308,212,312,789,928,765,073,267,107,
714,907,528,252,027,223,511,842,182,519,060,728,024,260,041,048,532,904,023,
743,370,043,005,517,691,184,254,510,237,392,280,653,199,757,276,357,878,627,
346,565,128,228,878,212,083,614,552,177,538,517,765,053,704,226,905,547,268,
994,857,664,395,172,956,875,600,488,724,420,132,800,461,757,170,585,365,545,
268,793,336,513,465,695,187,835,663,848,620,738,481,287,683,678,878,859,210,
724,916,093,763,952,877,206,014,942,497,608,958,665,521,621,878,123,946,488,
302,045,721,383,895,405,638,559,955,673,439,569,460,544,685,330,595,824,805,
964,096,323,249,694,565,701,830,184,585,732,101,293,320,267,641,513,076,396,
664,325,977,814,448,308,611,130,593,651,507,279,521,345,397,693,508,648,339,
805,531,361,519,764,435,297,289,781,977,080,971,068,296,324,658,053,426,429,
477,029,499,512,406,672,234,519,034,181,237,918,895,395,383,816,619,292,631,
829,396,102,920,434,070,167,082,178,837,095,785,931,457,540,306,099,630,709,
777,501,489,932,133,931,213,752,659,947,361,525,253,664,131,602,967,156,650,
180,549,138,711,259,759,922,329,477,886,025,994,983,960,052,455,279,694,318,
108,995,434,503,812,419,539,310,915,519,462,387,148,523,609,801,541,328,042,
426,035,294,526,119,021,242,710,153,467,164,139,636,005,120,879,781,523,882,
277,862,875,569,170,988,114,812,594,814,386,133,811,588,147,678,174,314,652,
240,547,813,873,213,906,657,296,614,902,672,243,090,647,835,931,698,305,809,
744,415,934,008,391,559,750,128,260,398,803,106,412,601,151,389,193,725,327,
079,697,384,598,740,945,241,126,006,685,825,737,004,658,592,818,182,167,230,
582,838,664,673,988,010,175,859,931,610,626,676,482,948,421,896,633,378,873,
497,669,744,730,283,794,314,292,000,722,422,239,545,926,992,470,580,319,756,
471,873,288,659,151,597,004,342,061,880,999,975,382,871,484,231,890,115,452,
985,494,073,656,783,628,654,737,371,792,146,919,634,859,479,628,471,554,594,
922,498,199,525,467,503,903,182,303,733,928,859,941,424,699,855,909,920,613,
798,219,654,181,462,401,823,586,318,251,094,289,398,269,610,924,058,179,587,
791,201,489,662,715,698,386,183,912,414,015,175,095,334,443,592,061,415,423,
935,902,800,979,616,666,519,169,564,229,256,391,233,894,903,418,997,702,079,
993,471,126,542,502,925,209,806,778,025,408,911,730,091,247,236,302,436,061,
081,588,634,373,963,655,278,970,225,445,742,001,972,880,489,958,477,441,424,
038,589,832,326,055,316,098,247,471,003,679,427,796,097,408,418,662,134,159,
794,385,794,534,418,265,627,586,412,675,197,961,857,263,490,209,566,191,135,
721,841,381,207,868,528,012,793,019,577,400,758,866,982,922,836,156,234,104,
171,521,251,464,119,570,357,094,376,785,549,276,291,844,173,395,573,117,090,
568,847,664,209,082,250,013,684,516,637,825,149,709,161,865,696,876,713,671,
090,774,111,552,970,241,540,048,578,888,924,192,514,008,275,188,244,140,186,
143,886,674,817,589,680,555,119,386,423,473,523,433,783,617,008,697,465,170,
153,249,961,425,126,953,386,384,412,754,409,808,876,568,510,409,855,386,015,
393,001,614,558,201,312,090,766,431,099,751,568,215,299,127,576,071,773,805,
841,097,226,548,011,236,069,029,288,019,137,034,048,623,948,273,006,765,109,
777,932,796,232,482,519,905,236,564,047,279,492,746,637,865,141,390,450,110,
793,320,544,899,863,117,842,605,376,992,074,088,617,869,175,469,622,529,462,
909,319,155,690,170,065,646,274,577,782,227,172,590,756,784,857,780,907,711,
118,169,232,288,059,252,885,140,543,939,812,374,346,275,799,663,371,464,661,
068,964,346,407,040,072,421,041,063,213,241,663,217,490,092,935,213,714,010,
358,297,460,391,847,093,722,528,045,593,689,240,369,271,854,783,569,442,459,
782,861,256,604,374,239,891,967,160,061,657,595,349,124,249,226,395,529,658,
166,072,254,064,806,726,725,520,299,433,064,008,031,104,362,177,146,180,923,
160,568,752,623,759,955,165,161,215,202,594,840,778,321,471,957,948,998,237,
696,901,433,330,699,751,877,540,201,010,235,496,280,203,528,670,483,860,926,
949,426,369,710,063,317,358,005,218,668,745,964,759,472,916,332,878,653,705,
910,622,161,222,537,729,820,530,261,211,235,623,020,019,211,117,892,867,270,
913,785,142,180,167,672,190,372,992,882,653,143,155,653,493,156,976,024,887,
967,593,588,405,632,812,247,674,387,757,555,862,007,099,684,165,854,941,682,
812,103,162,701,828,156,963,975,648,319,806,259,167,854,875,119,547,723,273,
697,436,954,511,023,493,061,764,171,670,104,332,810,374,104,675,155,329,086,
405,743,792,184,985,922,583,635,440,097,347,622,971,891,601,262,410,349,547,
593,638,095,424,458,415,750,160,003,116,746,234,674,990,802,895,638,655,475,
725,328,713,239,150,108,922,131,066,908,672,470,800,083,479,640,959,524,520,
220,974,803,357,759,689,391,996,607,214,902,748,518,749,136,024,678,374,637,
203,862,987,192,491,698,641,650,685,110,976,745,020,575,533,583,183,215,991,
748,066,446,779,641,507,275,972,247,977,782,192,315,457,321,261,087,536,632,
931,282,907,564,232,534,677,239,788,232,911,027,439,432,090,834,986,375,834,
913,572,045,226,028,087,138,393,298,874,529,891,375,523,719,836,881,101,893,
934,886,898,872,803,454,701,632,788,230,594,951,073,717,406,556,172,594,303,
286,165,997,266,190,301,955,841,129,581,271,636,637,491,731,009,998,143,653,
143,165,894,403,267,876,548,595,214,342,351,019,406,364,497,820,326,915,558,
601,780,573,610,345,922,853,526,026,660,827,909,082,616,871,209,329,693,917,
139,777,931,216,315,309,392,845,255,796,431,341,651,845,291,156,182,192,367,
244,262,924,473,752,298,149,705,686,077,736,700,022,149,654,330,640,143,197,
003,092,945,823,798,948,556,168,165,495,285,277,411,343,472,955,757,685,257,
901,416,575,099,365,022,295,268,166,098,938,398,019,122,309,756,375,817,469,
194,575,673,669,432,639,771,442,527,263,181,408,496,076,131,173,467,841,175,
749,942,143,701,330,206,989,153,282,894,255,913,909,142,492,958,027,280,554,
606,143,443,227,447,770,807,114,982,657,507,226,960,794,264,646,087,722,915,
299,491,737,850,764,155,177,532,225,506,812,204,368,183,346,741,712,642,757,
279,833,849,814,655,509,573,286,150,889,574,942,034,389,794,731,460,693,901,
752,135,125,457,732,819,609,734,749,100,008,397,168,804,396,405,631,353,977,
687,096,788,821,462,014,398,794,544,263,619,855,160,076,392,642,118,313,262,
313,649,884,401,645,376,544,413,981,886,643,300,196,434,919,494,100,280,482,
707,277,597,920,070,841,968,076,853,981,278,714,091,992,203,735,666,120,137,
560,233,150,256,880,181,254,943,882,902,369,808,936,014,306,222,088,394,421,
247,181,374,626,745,810,349,181,955,147,136,182,877,231,213,889,929,981,252,
628,481,303,180,554,055,616,969,980,312,821,480,488,368,976,806,957,146,669,
396,231,646,852,848,561,946,925,530,400,632,742,232,184,427,756,731,497,741,
562,692,551,138,041,363,503,891,053,402,430,672,644,796,562,060,689,001,033,
911,532,810,567,181,026,402,336,973,398,341,095,731,855,058,340,028,302,174,
534,833,029,363,497,940,268,834,950,399,852,809,316,984,063,277,592,122,302,
763,499,432,247,678,920,785,306,498,245,481,711,212,207,895,459,913,278,264,
325,919,754,758,281,123,299,356,281,462,203,246,723,095,545,602,285,032,276,
189,599,728,374,687,818,055,400,315,394,844,755,230,421,915,337,358,293,870,
273,662,213,908,953,496,430,682,352,036,051,953,553,768,484,023,271,509,517,
470,663,257,979,175,445,581,832,270,297,448,842,811,905,193,268,597,930,228,
399,059,406,171,911,402,927,851,387,931,315,733,010,730,509,859,285,645,470,
222,287,506,565,168,556,549,725,780,615,724,177,457,186,994,293,767,044,662,
756,391,643,344,285,140,404,559,531,161,707,159,818,856,115,099,183,682,479,
973,999,887,175,659,774,089,385,660,650,376,441,936,438,804,986,695,070,131,
021,217,218,921,649,773,171,815,954,665,078,349,144,233,260,928,930,781,553,
454,329,857,587,017,458,904,818,814,739,835,490,927,204,290,062,967,986,721,
780,673,530,030,104,914,197,649,250,530,129,884,052,285,493,947,973,379,886,
595,366,615,781,436,551,472,608,568,853,467,329,523,427,857,614,979,416,202,
288,468,150,221,629,202,878,652,584,978,154,822,378,345,498,442,918,971,632,
138,720,697,521,309,371,350,768,068,050,773,211,163,829,954,624,330,209,635,
462,830,820,711,859,869,844,280,491,459,784,414,120,803,840,162,722,654,316,
164,975,491,333,497,024,070,414,554,906,613,713,889,015,811,763,704,564,549,
566,985,620,272,679,151,181,595,817,109,905,987,406,465,412,719,934,813,927,
515,803,236,775,309,920,738,451,503,328,449,956,283,827,224,596,585,513,480,
579,419,853,467,011,367,450,326,040,374,237,131,997,793,226,666,162,391,271,
332,154,622,459,972,404,600,270,591,466,727,188,587,289,872,764,436,140,044,
629,786,156,999,576,252,932,423,773,667,210,115,498,978,278,374,143,087,209,
273,424,531,666,741,164,981,444,993,890,928,021,470,026,896,342,813,648,315,
463,513,699,955,052,289,005,140,209,033,762,498,018,301,752,863,465,778,456,
842,186,072,840,616,400,462,083,831,797,003,121,219,393,717,007,101,701,594,
282,767,948,839,059,077,370,496,043,012,776,593,524,859,194,415,279,299,942,
911,674,190,357,200,765,395,873,949,944,668,752,618,151,186,222,279,512,424,
195,628,708,973,895,031,298,587,083,699,372,346,037,156,472,683,698,302,808,
757,655,606,681,365,876,003,826,085,611,355,482,477,655,222,657,944,991,269,
957,685,084,509,918,561,708,148,008,789,473,402,511,381,736,682,603,608,168,
070,127,421,929,326,245,387,224,195,677,457,540,030,664,787,127,168,852,191,
769,667,680,282,868,423,029,807,000,124,206,654,844,167,127,949,928,186,475,
138,110,808,861,403,631,385,520,964,247,010,329,613,533,759,113,626,468,328,
110,385,918,276,519,857,845,194,226,511,457,707,282,460,939,459,161,116,918,
477,851,844,681,976,578,060,891,480,585,071,216,253,699,059,325,979,284,646,
352,811,396,856,259,002,787,895,067,258,683,918,499,950,096,580,751,703,116,
795,958,873,151,276,269,955,176,889,250,239,907,937,164,605,003,833,378,827,
668,375,566,039,587,452,822,639,557,296,457,757,107,494,933,743,957,699,169,
234,979,604,754,100,860,981,890,428,044,873,458,184,417,187,773,449,390,693,
491,483,659,848,019,516,752,231,510,775,716,718,672,018,686,107,158,155,360,
285,286,929,831,076,182,897,469,487,417,360,097,646,557,773,590,346,564,315,
136,087,733,916,385,665,846,642,213,677,068,062,478,381,989,201,448,939,930,
974,051,143,498,858,143,157,282,949,931,103,848,810,070,458,177,292,008,730,
920,129,370,030,620,354,786,370,276,290,484,896,645,075,697,278,364,727,860,
268,336,690,901,057,576,864,270,147,312,921,488,402,980,068,853,863,259,183,
222,162,955,948,761,245,847,542,117,597,200,052,469,899,313,184,148,923,860,
953,258,135,503,342,340,983,560,418,509,291,897,406,328,405,977,026,243,576,
966,112,932,197,865,614,096,754,071,521,642,869,821,334,700,226,384,707,397,
726,555,598,009,066,863,674,422,643,195,389,431,854,557,751,420,973,952,833,
839,839,051,070,943,517,808,016,847,119,340,931,323,749,957,078,883,813,668,
751,854,784,779,009,969,729,944,877,703,130,523,838,591,172,289,153,384,825,
476,192,123,899,317,045,942,488,229,976,597,030,888,191,128,179,731,988,184,
274,853,916,090,792,989,430,833,816,669,937,833,183,513,384,511,948,564,717,
115,890,577,298,429,737,129,200,412,561,847,214,631,177,759,231,327,168,583,
662,193,617,689,921,059,180,264,795,259,708,630,049,250,255,568,221,392,341,
587,537,516,752,840,779,743,132,348,043,725,234,738,518,496,080,888,020,211,
928,397,837,542,371,607,885,036,514,737,872,871,003,079,227,135,392,657,291,
807,412,213,296,484,706,095,234,238,538,532,211,731,961,582,630,219,341,396,
288,386,340,859,315,599,076,238,935,915,513,101,533,340,025,046,713,205,355,
810,786,138,563,027,473,164,937,280,283,495,124,414,328,854,435,084,939,742,
834,591,366,999,766,801,767,938,535,161,899,966,711,052,432,796,338,372,984,
170,061,160,434,474,282,690,278,697,028,129,693,829,069,437,273,833,050,515,
985,861,135,027,168,836,788,860,646,053,938,289,557,313,516,563,055,603,942,
751,455,212,013,440,472,889,348,056,553,447,119,112,314,238,618,007,699,379,
335,288,417,665,198,996,381,432,501,674,120,678,154,767,367,141,953,503,421,
909,501,716,190,199,285,036,488,297,933,048,941,484,570,766,241,014,722,647,
790,440,259,780,040,108,056,755,919,183,421,784,962,187,854,878,452,802,574,
258,274,362,913,221,467,174,121,603,119,630,487,216,280,563,832,218,585,567,
408,125,586,621,903,639,498,561,592,282,044,930,470,591,873,388,161,204,569,
749,301,736,261,409,773,385,427,222,701,136,335,284,543,112,764,991,044,637,
465,236,999,888,308,252,381,381,068,731,231,541,985,308,807,588,601,811,523,
572,599,933,853,169,996,303,601,721,306,101,623,413,212,481,491,669,156,649,
585,139,377,315,498,278,920,032,533,214,185,987,524,393,177,974,830,241,434,
650,937,742,169,570,297,572,846,862,343,473,731,100,102,282,434,183,866,865,
791,168,130,586,387,321,560,601,783,597,900,664,263,371,563,005,184,627,239,
225,626,664,135,262,397,472,330,367,700,533,997,587,845,950,701,161,382,788,
509,328,058,767,350,877,891,553,109,676,032,365,284,018,291,758,844,437,272,
246,169,784,204,467,080,321,756,708,904,452,322,456,332,148,834,610,997,023,
866,695,384,467,933,456,249,719,413,863,321,473,795,879,178,843,196,906,824,
915,655,430,018,604,210,609,408,450,062,873,019,437,428,129,098,771,569,849,
041,459,525,306,020,309,810,774,567,980,941,026,142,708,171,008,743,069,340,
520,697,047,959,456,250,478,685,014,269,994,080,352,636,967,710,368,100,408,
613,316,095,515,728,273,007,936,164,621,633,583,341,407,359,970,981,528,830,
249,349,786,537,162,220,627,704,919,397,727,726,541,290,363,713,359,759,796,
522,942,780,055,420,482,764,957,763,962,386,271,584,568,200,353,122,433,087,
743,273,357,985,420,226,235,359,101,056,709,693,089,275,650,726,923,553,173,
722,101,882,951,685,702,626,785,190,315,533,649,856,066,310,759,287,170,536,
054,642,572,268,833,285,605,866,878,477,948,304,023,349,605,872,575,388,618,
115,122,910,642,926,198,264,191,401,636,343,371,537,265,551,370,447,755,998,
861,241,264,449,516,985,992,144,101,886,035,759,185,402,862,697,128,835,258,
543,534,858,784,423,835,381,750,108,788,318,781,821,884,236,907,420,548,825,
522,635,871,126,249,881,038,799,909,659,898,090,006,242,654,168,407,182,283,
120,533,418,774,825,503,759,399,504,710,768,982,790,050,490,988,966,265,338,
012,245,493,542,274,736,718,460,255,093,461,253,909,891,536,371,584,891,730,
912,831,310,067,231,327,720,009,773,121,749,068,206,241,511,323,821,624,826,
829,233,527,427,884,894,734,316,846,534,017,432,365,892,858,402,370,326,684,
655,806,172,933,706,398,512,552,350,358,345,670,824,224,454,468,595,883,961,
401,597,721,070,816,448,505,282,662,783,436,561,975,808,888,217,367,151,820,
426,018,511,129,450,310,207,739,656,296,339,752,075,329,359,246,251,907,733,
686,995,180,496,844,143,544,547,625,159,105,021,487,465,164,055,388,586,688,
708,083,365,583,222,051,368,144,639,372,468,259,795,537,043,671,168,441,122,
334,558,531,556,716,247,731,222,826,412,464,376,329,159,983,503,047,441,208,
012,496,842,807,415,589,930,354,786,472,280,915,107,701,794,422,841,989,246,
876,331,735,080,621,233,531,083,814,783,300,769,013,767,565,884,561,706,161,
161,872,283,181,002,240,360,854,110,727,165,389,005,875,537,587,984,699,923,
699,093,278,171,999,216,985,583,686,556,206,307,485,162,808,036,456,941,060,
727,774,716,575,429,833,175,282,675,045,801,603,786,807,954,977,406,495,291,
951,387,187,384,245,541,388,443,858,521,961,526,108,368,625,736,928,480,400,
462,558,316,645,352,110,669,222,397,225,962,719,900,869,522,806,371,205,306,
843,652,212,723,337,005,559,883,425,811,216,406,198,284,374,008,851,318,674,
443,296,859,732,688,143,997,390,239,953,559,339,922,128,777,411,198,848,298,
931,852,719,846,361,336,716,556,328,401,675,907,643,264,829,244,091,715,490,
047,393,020,625,048,571,047,545,475,308,392,744,710,553,888,237,714,599,879,
448,130,368,513,421,692,391,079,667,243,276,909,206,470,011,939,633,101,359,
236,125,248,280,473,408,188,626,948,958,261,988,387,118,831,788,415,107,670,
292,861,172,586,960,161,204,972,855,188,423,484,706,068,705,960,781,681,413,
480,704,081,472,941,656,683,646,118,862,505,645,943,983,594,655,429,317,389,
260,788,918,756,603,349,809,599,409,441,211,459,299,101,476,704,938,947,789,
732,809,006,242,729,515,277,205,013,662,461,717,309,396,963,877,744,796,310,
073,285,342,355,468,541,884,577,695,396,141,792,760,401,880,507,076,761,371,
944,018,683,851,953,234,522,637,263,374,511,727,560,837,752,721,423,907,609,
888,322,520,046,069,225,799,172,308,248,149,980,643,576,608,797,077,860,833,
216,999,085,754,541,817,082,841,693,832,804,093,695,125,725,228,173,075,097,
942,699,747,364,610,910,530,703,364,954,381,148,026,239,456,248,131,476,911,
503,048,676,723,715,291,179,596,632,981,335,760,501,455,136,130,034,820,882,
052,895,941,331,126,183,609,037,353,812,474,643,118,453,123,335,936,108,535,
405,705,841,240,605,964,004,357,673,185,439,455,901,806,594,066,668,864,849,
941,902,589,616,947,808,472,283,261,370,838,638,205,036,902,929,518,848,817,
152,729,483,177,766,747,617,625,037,692,874,463,684,431,602,851,826,395,201,
884,388,371,138,794,832,393,852,059,749,522,978,331,753,866,178,569,240,914,
597,207,929,106,173,357,902,307,819,686,122,988,214,704,536,646,714,149,384,
850,923,942,308,955,713,013,362,040,534,120,839,562,940,844,683,059,389,145,
469,747,982,809,792,188,453,613,301,616,266,217,144,855,528,325,993,411,107,
417,328,857,354,676,716,289,598,588,046,098,673,913,973,094,132,277,085,153,
765,507,954,873,701,802,501,545,311,352,233,359,410,108,446,406,048,111,437,
382,792,049,938,751,152,721,702,038,731,753,889,817,960,541,801,452,790,491,
606,768,405,697,204,399,035,446,553,600,390,576,822,498,582,167,961,077,258,
973,228,953,104,848,653,832,053,814,548,644,677,330,765,162,843,709,481,976,
076,091,632,697,066,396,967,687,665,582,448,579,096,344,982,247,741,574,402,
321,972,885,328,796,823,938,076,094,708,490,069,544,408,187,055,289,051,258,
721,859,576,903,671,734,012,224,589,837,643,759,851,703,643,359,544,502,292,
429,929,765,676,859,710,737,458,005,955,367,869,083,568,851,403,517,988,596,
949,339,876,239,490,121,176,833,673,462,833,599,151,134,907,720,975,952,671,
044,634,629,798,891,397,954,567,291,432,818,221,784,542,421,163,784,779,314,
644,389,870,333,977,857,870,544,226,802,076,735,608,469,646,570,408,349,611,
146,772,893,178,010,404,269,234,658,165,905,260,777,798,471,783,610,223,940,
889,512,796,622,708,542,093,246,768,657,513,105,097,240,359,101,768,758,744,
155,211,087,813,220,718,103,542,774,676,658,565,332,517,641,796,981,496,151,
727,810,088,022,335,529,123,985,094,780,646,816,980,485,451,556,247,171,280,
057,625,207,363,004,184,544,073,910,376,320,173,948,629,363,041,617,964,073,
369,737,776,394,498,418,979,625,618,165,516,988,042,076,495,469,413,658,336,
972,157,031,673,489,830,110,958,151,477,754,471,590,929,853,813,711,624,255,
206,093,166,129,695,732,749,671,590,783,959,966,245,622,375,166,896,753,508,
874,837,885,734,802,959,376,506,509,952,443,787,978,522,968,408,501,136,012,
890,507,609,148,654,821,300,397,029,477,024,041,304,131,265,255,111,680,701,
401,767,764,494,962,326,969,200,824,967,242,418,441,881,505,160,507,312,487,
753,129,613,244,967,160,251,620,549,183,135,796,710,062,504,919,215,184,410,
323,753,976,141,087,020,337,761,474,115,952,563,436,577,993,465,730,547,104,
302,192,187,072,328,587,481,765,376,132,641,216,758,320,663,395,436,361,412,
607,722,903,054,475,736,316,060,469,226,278,747,022,494,599,540,183,278,907,
064,953,387,691,614,526,141,257,386,098,339,452,096,309,949,859,041,495,097,
992,255,916,918,740,133,207,692,280,597,799,787,442,901,521,689,734,906,378,
806,307,496,625,966,969,072,550,287,692,667,032,359,718,864,375,495,264,835,
676,181,465,877,751,075,929,903,843,108,179,734,644,758,639,456,284,308,445,
914,630,592,616,361,061,495,196,364,345,649,316,917,287,985,974,538,679,711,
024,590,952,282,931,102,360,819,335,431,115,722,924,730,879,551,903,682,194,
804,463,758,681,508,376,347,589,559,669,164,694,813,909,798,518,140,537,435,
735,558,689,945,642,578,092,976,988,043,848,606,144,459,469,221,571,026,478,
791,738,107,301,383,359,490,252,677,409,551,097,007,076,074,722,975,407,628,
860,737,172,237,030,275,751,378,680,596,245,584,392,204,514,097,041,087,457,
031,366,444,294,099,024,917,327,821,842,566,686,342,595,598,801,082,345,734,
486,900,270,587,186,488,857,938,576,782,117,688,049,938,211,456,539,164,386,
797,887,238,139,720,046,548,404,285,049,491,621,906,877,720,560,839,689,605,
438,157,321,255,806,882,764,750,813,035,768,798,524,255,296,561,316,966,973,
866,472,030,242,046,840,204,645,617,925,559,272,370,333,937,929,874,675,320,
116,964,253,645,350,502,043,542,982,643,319,618,855,561,060,741,861,158,599,
220,374,319,783,005,723,392,825,572,181,270,689,747,525,838,311,133,145,005,
718,929,259,637,405,766,984,613,576,898,140,851,393,833,291,948,009,522,425,
255,518,184,971,790,955,411,249,196,664,112,883,676,900,518,433,932,117,759,
298,488,800,458,628,602,270,403,378,317,415,238,874,716,906,569,517,742,708,
898,136,830,920,378,977,569,510,996,642,650,467,317,604,011,291,792,489,235,
724,880,280,899,903,407,087,370,540,319,219,147,263,987,497,433,073,160,661,
218,792,741,068,966,157,174,925,103,928,370,650,992,780,405,220,476,529,790,
585,307,707,561,996,722,024,599,291,234,077,781,986,723,992,811,719,174,441,
581,933,950,561,513,652,161,741,442,969,668,101,999,856,909,564,303,400,998,
407,413,374,716,122,434,913,758,744,272,154,236,179,614,938,141,988,569,192,
356,625,341,594,144,371,480,814,379,434,932,938,461,119,412,117,183,772,852,
281,347,494,603,415,674,570,853,277,155,613,507,227,080,995,665,879,028,819,
157,050,595,765,748,977,399,683,058,400,570,792,189,314,373,090,482,474,353,
320,786,717,068,512,249,914,542,256,809,555,705,009,210,060,482,182,138,045,
095,686,586,696,374,115,107,849,998,252,747,957,986,019,660,228,434,549,805,
489,840,634,663,374,818,200,903,254,124,092,976,257,973,616,137,392,715,372,
512,654,353,935,825,025,332,160,596,809,436,016,206,737,215,789,602,560,615,
820,174,344,252,233,150,573,969,395,231,269,805,589,355,477,624,978,004,351,
380,173,746,045,535,018,945,393,418,096,747,169,741,173,977,683,383,179,036,
768,927,836,760,889,421,890,512,513,712,968,274,285,791,401,336,477,812,666,
532,299,408,208,898,028,512,866,027,823,603,127,917,760,411,128,610,371,604,
260,011,645,328,159,168,188,972,215,638,388,590,972,688,548,459,626,889,505,
643,825,038,173,152,567,616,822,912,797,543,536,592,111,755,212,261,026,339,
633,213,001,713,462,352,968,204,711,239,985,792,911,641,584,647,482,819,131,
767,243,248,301,389,281,158,349,495,647,615,345,938,892,413,892,860,590,691,
638,375,522,848,703,099,901,782,508,031,010,411,588,445,087,783,471,936,066,
517,380,710,528,238,341,399,375,594,601,367,611,447,259,720,830,684,111,714,
976,137,782,953,415,414,304,951,736,458,762,017,348,145,316,212,474,938,879,
241,575,380,439,734,382,135,506,621,151,296,414,618,240,902,930,881,908,559,
126,203,185,387,461,571,587,031,840,942,502,614,706,376,175,505,539,429,585,
919,876,708,778,370,836,678,314,789,981,250,223,719,980,948,097,536,514,452,
504,360,895,001,425,413,185,169,172,587,730,822,514,381,689,780,746,284,203,
397,458,694,111,697,818,456,553,671,540,618,386,240,651,586,630,544,593,397,
494,454,684,913,306,635,006,065,909,523,279,537,423,670,390,537,022,762,797,
142,389,911,188,031,097,398,100,711,516,444,694,829,873,667,277,627,983,494,
973,759,217,233,685,282,038,777,377,119,907,158,712,012,627,002,318,139,930,
902,989,548,284,819,278,753,131,798,381,621,143,888,077,238,029,277,124,719,
487,847,430,421,984,662,675,872,198,263,627,113,058,176,429,804,100,840,079,
595,829,026,690,668,040,036,045,855,664,920,681,946,764,935,209,212,007,896,
201,265,528,805,793,532,261,488,298,456,958,284,617,956,043,855,028,236,209,
131,104,700,817,174,573,180,451,609,717,066,183,098,714,621,658,759,613,097,
105,540,612,761,762,131,456,613,346,514,889,966,704,190,812,008,441,895,222,
831,813,924,133,666,251,515,728,937,067,388,343,435,810,937,938,783,434,859,
816,393,029,486,881,895,030,519,922,418,221,106,934,625,519,983,383,154,101,
214,104,611,027,718,603,745,779,041,450,100,519,506,674,167,601,567,556,918,
048,727,083,155,484,572,411,531,733,272,326,622,775,190,456,231,658,111,792,
680,675,309,440,558,015,764,978,650,190,293,408,155,820,913,656,466,296,401,
272,950,106,768,202,223,805,828,013,470,992,620,593,953,780,876,253,930,899,
178,278,107,824,513,953,213,849,253,498,762,452,234,629,610,675,430,952,819,
026,499,719,298,139,398,850,127,651,915,292,573,444,921,969,197,552,557,349,
322,398,943,424,179,333,989,608,495,824,104,819,815,539,938,911,127,451,325,
715,650,555,449,817,336,146,000,450,042,794,250,955,014,426,891,316,727,136,
087,273,442,721,914,410,413,865,811,701,143,616,267,641,058,725,357,339,978,
857,695,996,827,687,046,031,285,669,995,773,282,468,548,615,660,903,034,386,
057,431,648,992,783,387,790,644,807,783,408,262,749,189,241,284,948,163,845,
600,186,757,522,514,156,170,476,901,512,174,228,866,905,787,575,643,537,954,
775,387,505,275,494,539,738,893,706,862,892,083,096,769,426,908,422,055,553,
725,968,179,461,437,706,933,246,262,442,522,461,760,628,906,330,823,386,630,
174,828,400,392,462,736,722,069,663,140,192,561,663,434,830,979,172,671,464,
403,184,945,739,664,068,844,819,112,056,779,565,000,041,302,570,471,137,535,
259,621,236,798,902,882,355,126,910,236,817,678,633,855,103,128,999,382,768,
724,985,871,456,767,525,131,504,042,527,763,548,652,940,888,397,455,863,148,
882,294,713,739,035,464,197,073,617,326,546,459,477,661,164,713,538,032,041,
669,207,923,744,496,915,742,871,725,835,457,702,381,360,449,380,618,656,207,
617,951,427,817,806,256,366,743,650,913,307,168,080,658,549,469,227,620,969,
557,581,593,155,868,316,413,742,452,389,472,520,292,490,550,168,034,097,070,
915,616,912,325,413,707,332,815,166,167,150,874,592,521,620,842,471,561,700,
844,141,989,843,630,259,427,969,389,434,964,169,978,103,288,928,445,125,334,
013,574,882,910,741,106,635,424,850,348,603,722,142,092,221,212,802,432,491,
347,776,352,731,536,924,833,583,624,975,115,139,425,199,156,508,836,142,207,
438,644,471,182,502,894,956,379,586,639,794,502,125,295,352,244,639,574,043,
152,507,017,918,545,309,250,233,243,747,023,711,237,304,728,801,899,257,771,
646,849,665,885,983,159,463,607,265,573,797,793,104,591,417,452,895,336,692,
617,123,193,114,369,259,401,618,098,908,494,144,611,553,819,183,384,664,401,
247,030,348,026,560,685,025,584,189,378,750,732,303,166,458,274,129,227,795,
948,302,773,801,128,155,120,063,186,273,825,687,350,352,807,639,159,209,715,
413,827,109,259,582,060,389,950,858,998,539,086,696,271,700,209,870,775,468,
004,439,669,135,958,233,133,428,658,272,458,695,475,932,914,697,141,697,113,
870,917,841,405,166,770,987,376,451,767,885,358,495,285,975,524,761,590,063,
885,837,231,333,599,687,332,432,522,176,569,288,492,165,362,508,911,441,891,
657,159,438,587,882,691,939,141,163,208,291,297,644,639,518,410,515,468,187,
073,240,193,095,762,735,083,448,030,487,489,985,112,495,154,140,925,931,775,
260,514,100,719,846,083,536,344,920,202,818,060,059,515,654,719,857,754,373,
023,019,013,211,705,414,523,136,338,587,201,267,534,748,108,463,952,823,836,
378,547,201,675,151,382,721,964,347,219,844,858,594,367,103,518,197,519,780,
990,465,839,623,301,158,485,036,413,880,469,083,897,465,522,841,796,556,779,
059,280,052,766,164,498,225,168,693,663,221,544,298,860,143,809,761,163,688,
215,136,910,822,013,930,812,363,341,208,695,995,885,577,634,543,256,272,950,
646,682,737,491,742,437,602,994,326,870,891,435,881,520,442,417,327,084,365,
371,198,119,951,450,317,234,039,007,831,340,005,182,726,525,439,196,100,678,
217,893,378,414,958,272,718,922,702,889,075,090,101,038,528,174,579,751,777,
398,770,461,812,937,764,895,065,626,860,096,506,405,429,844,539,952,371,752,
698,609,700,391,600,351,542,236,395,740,732,648,543,368,961,730,448,564,646,
747,925,423,338,401,306,705,764,037,398,795,774,911,269,542,073,010,005,522,
227,300,089,905,489,727,463,704,212,896,103,739,073,600,967,824,781,218,339,
750,958,161,302,288,337,284,243,678,143,418,830,985,650,580,821,560,449,526,
593,757,419,192,187,398,079,938,457,246,245,649,561,619,604,695,924,997,927,
585,143,251,784,613,755,448,019,875,633,950,013,168,268,099,021,413,502,824,
949,015,014,788,337,245,178,654,341,171,064,732,511,889,495,503,501,463,657,
667,179,741,254,986,371,432,836,325,207,673,127,687,142,156,732,835,997,884,
229,908,206,522,941,070,203,023,812,449,830,037,672,362,441,843,623,473,911,
314,764,253,940,460,991,267,641,659,743,109,652,152,833,875,820,448,318,504,
241,732,481,591,611,386,738,504,774,778,866,846,572,680,512,925,088,050,767,
600,123,845,158,433,473,706,292,810,845,904,975,357,544,388,064,872,378,803,
690,082,949,254,130,262,021,057,028,370,578,659,182,003,651,335,763,960,174,
394,759,770,892,029,972,348,935,406,204,928,106,592,210,055,446,143,514,452,
435,507,335,113,322,569,346,268,904,764,037,483,475,192,503,666,784,461,061,
159,077,434,754,334,609,817,806,238,129,627,034,821,967,230,973,012,496,412,
823,505,889,301,500,266,499,288,583,470,157,393,585,206,450,676,213,843,157,
347,586,290,588,053,717,968,769,975,153,654,688,825,414,643,232,106,207,398,
741,969,120,320,616,103,514,686,835,946,895,876,083,338,254,191,556,830,835,
009,844,326,649,115,973,811,585,978,476,778,498,945,738,175,980,667,763,632,
742,383,218,006,805,663,169,981,710,448,372,961,138,283,736,887,775,217,376,
793,813,568,955,856,432,082,976,346,966,543,346,468,927,727,771,138,285,870,
198,218,669,484,501,873,873,306,626,191,829,342,797,714,869,758,108,464,510,
173,850,793,884,259,318,760,088,867,500,503,077,755,499,102,665,555,726,022,
182,060,667,076,277,912,060,649,121,241,747,064,455,473,051,570,724,369,770,
608,845,581,865,119,691,596,539,232,172,138,971,754,359,516,978,047,836,399,
896,901,168,241,282,816,655,440,828,019,033,294,194,333,799,773,753,967,160,
022,370,549,293,923,450,079,904,533,876,354,732,900,805,079,929,517,761,915,
200,041,968,633,415,556,462,058,297,414,372,277,564,800,772,841,032,106,605,
621,399,808,216,554,522,159,531,692,735,495,209,951,007,133,935,465,287,822,
981,499,771,993,726,288,861,615,796,093,961,477,771,152,172,851,198,576,375,
681,239,078,481,534,657,498,448,927,463,974,392,871,946,992,111,670,459,515,
168,445,674,790,241,645,530,792,091,049,529,931,139,898,539,687,995,212,252,
213,720,603,173,178,460,456,519,159,232,516,626,688,771,613,039,863,591,470,
280,838,001,572,623,497,258,411,440,687,848,684,717,981,004,473,424,643,274,
861,638,578,611,043,430,386,294,340,852,519,939,981,231,716,842,841,868,068,
118,665,874,187,927,849,265,527,785,564,054,986,230,654,804,622,558,712,120,
704,193,951,677,436,262,617,704,482,885,688,837,560,579,762,135,385,461,551,
987,252,658,139,501,001,959,666,262,763,173,342,121,174,185,148,115,158,541,
497,672,421,270,262,718,691,806,061,447,711,378,985,207,029,825,500,515,441,
757,106,641,804,962,645,894,231,332,682,371,614,394,760,623,134,925,439,226,
374,036,994,233,837,306,069,701,405,475,035,659,443,639,387,612,903,269,646,
806,690,523,236,317,881,150,271,660,200,006,937,427,039,839,945,872,435,797,
074,104,313,278,434,358,104,213,949,255,960,928,489,354,630,964,887,103,282,
239,609,043,789,019,165,947,999,283,849,970,724,466,411,984,863,289,701,866,
575,591,095,398,910,775,101,890,127,100,567,169,843,818,568,526,816,875,057,
470,860,348,389,859,012,992,696,059,068,957,456,673,340,336,789,074,390,764,
069,837,379,445,886,032,830,909,605,593,008,573,600,037,919,622,917,912,568,
755,449,772,754,767,975,756,550,945,084,044,650,720,360,775,241,758,988,586,
467,170,331,524,339,165,572,480,249,019,910,434,475,097,186,174,027,614,777,
290,060,165,476,282,103,033,804,738,349,692,541,261,799,464,178,333,717,688,
056,868,464,343,522,249,624,858,994,551,902,183,613,511,000,693,372,860,647,
341,472,349,767,034,667,382,303,810,878,126,352,107,357,440,114,255,823,940,
874,991,801,233,006,182,160,187,335,334,578,473,671,482,310,936,347,867,143,
534,110,549,018,041,216,493,650,041,070,077,586,275,613,243,008,428,390,810,
101,583,674,922,862,402,225,092,939,267,159,058,815,224,760,080,752,303,015,
510,971,242,021,588,012,940,241,548,350,184,680,455,872,085,216,144,663,318,
210,254,200,944,933,576,845,744,061,662,732,481,016,273,194,996,717,478,263,
575,591,000,305,674,487,885,110,770,102,023,877,347,899,342,621,362,463,590,
904,491,856,332,655,763,397,038,225,104,429,273,623,617,918,303,011,706,693,
276,963,109,519,245,907,761,750,897,357,654,322,002,271,518,415,279,517,160,
126,011,999,289,458,323,921,432,542,748,567,239,254,480,859,733,873,461,638,
439,164,150,178,992,235,139,027,329,431,944,571,767,153,309,263,085,048,377,
401,521,678,149,187,109,465,447,002,202,764,918,950,191,255,438,131,414,542,
543,845,161,871,185,755,772,280,609,653,454,846,063,195,004,315,413,809,196,
705,857,603,183,952,260,011,726,770,940,816,548,729,559,522,252,767,255,153,
845,697,322,139,002,557,729,166,567,826,117,446,437,560,705,820,298,608,752,
146,968,663,510,627,253,897,674,501,009,227,774,640,738,785,694,452,362,096,
504,646,267,755,051,200,739,504,528,419,806,765,176,920,457,791,872,405,064,
705,208,291,212,899,368,941,718,498,681,968,369,302,749,491,148,566,973,836,
830,489,337,810,833,793,479,843,862,795,388,453,826,222,524,431,682,999,382,
230,725,814,597,469,210,631,563,683,279,075,846,849,698,460,873,767,260,430,
245,383,300,579,896,460,796,781,418,463,162,407,313,089,966,494,810,053,955,
189,309,434,771,192,713,351,375,293,807,774,080,591,487,903,906,743,588,257,
121,981,490,355,721,347,859,138,980,696,874,859,494,697,008,603,934,398,097,
093,742,446,312,058,670,868,546,755,001,514,559,095,203,998,356,702,222,860,
823,911,084,101,098,720,100,256,949,249,349,784,920,767,792,003,787,759,328,
097,171,636,099,253,872,090,095,572,521,542,099,740,129,145,857,018,095,221,
717,113,003,146,682,724,443,303,996,167,733,468,361,555,169,503,165,731,337,
902,507,886,910,568,840,460,661,349,536,961,257,023,854,403,292,015,601,325,
580,955,763,911,272,346,102,693,842,126,862,975,466,023,168,333,755,386,882,
903,229,181,060,148,869,532,064,490,403,100,295,379,575,892,379,166,533,349,
375,245,632,721,158,402,854,018,794,456,569,793,987,009,856,545,015,236,047,
305,477,383,866,773,491,504,269,892,129,324,863,925,571,218,399,678,183,771,
034,510,421,190,385,477,879,493,899,745,619,111,771,108,228,117,913,562,853,
384,512,001,949,506,453,331,521,178,064,980,498,485,450,775,911,516,064,381,
872,679,399,657,461,132,195,825,587,668,067,091,703,732,678,316,290,321,269,
156,696,504,137,171,814,917,696,617,124,579,357,329,099,972,929,699,603,858,
586,678,047,850,499,445,177,803,654,265,067,836,413,083,976,522,626,196,305,
062,718,611,441,988,595,496,924,407,379,470,454,818,562,505,893,391,948,158,
695,357,061,298,882,300,841,014,857,055,220,705,896,333,114,889,298,895,083,
779,340,877,222,117,833,547,818,390,353,869,581,065,020,591,305,610,706,197,
397,290,757,536,296,584,174,366,627,683,008,492,992,230,343,658,959,236,705,
105,495,588,181,725,875,467,792,188,441,387,910,379,416,269,431,927,726,368,
403,577,154,441,095,048,180,394,235,302,610,543,826,417,474,958,934,778,569,
494,173,737,067,136,648,465,191,188,028,303,165,629,252,616,866,368,177,893,
214,498,780,142,140,429,376,177,603,358,696,822,546,295,442,477,271,585,649,
707,398,471,339,000,920,974,978,916,605,749,965,702,543,183,719,267,417,073,
274,888,599,546,259,717,822,444,905,386,991,142,732,578,124,222,500,107,340,
031,934,037,201,366,033,844,044,518,752,430,133,594,996,558,142,072,918,557,
791,927,908,624,294,035,530,369,049,382,933,181,053,047,421,306,762,584,614,
431,617,553,377,925,953,334,762,628,395,252,920,919,718,112,723,487,228,379,
443,707,448,432,256,374,855,469,095,825,321,023,524,282,272,972,095,212,007,
967,254,169,868,497,434,495,812,333,659,385,120,153,934,435,603,983,514,469,
342,039,015,109,941,242,351,336,047,323,424,754,343,519,574,228,668,787,114,
747,687,242,925,811,096,711,605,189,987,889,202,263,048,758,650,258,037,214,
663,573,734,229,806,380,812,702,317,155,487,140,043,718,780,777,490,710,441,
395,869,682,824,678,654,992,170,733,327,532,237,715,022,849,848,051,398,448,
359,372,489,082,497,938,297,510,961,761,882,536,650,271,098,101,484,295,555,
828,316,819,963,638,950,082,085,732,425,986,254,458,358,364,915,525,876,591,
204,269,552,317,971,117,229,978,976,976,075,929,539,399,332,412,107,146,197,
161,826,573,759,321,673,096,369,164,934,108,959,753,864,333,594,235,727,017,
667,558,406,634,251,027,573,765,522,608,357,910,259,157,234,920,994,207,601,
548,819,574,688,865,838,345,289,008,269,476,234,841,830,128,156,701,753,194,
194,551,606,253,151,404,664,893,849,304,685,129,846,659,293,979,939,331,933,
499,838,372,127,686,969,109,418,316,254,719,038,352,978,699,745,205,481,172,
886,718,487,150,613,431,335,069,980,170,849,012,904,066,671,155,949,706,388,
898,299,098,748,577,453,596,636,263,220,653,763,766,100,412,494,930,929,831,
356,626,747,222,942,406,893,492,582,127,407,002,914,558,351,173,502,532,025,
262,076,294,998,061,388,341,079,483,605,673,334,444,646,617,525,866,340,628,
786,819,382,943,299,240,182,399,079,141,809,993,961,484,631,955,648,653,206,
158,825,721,689,730,445,121,045,548,959,510,523,869,804,016,937,605,442,647,
453,815,733,417,744,558,087,756,018,728,743,047,038,463,982,046,463,614,272,
934,856,893,383,261,829,177,530,346,551,570,975,070,587,009,058,775,806,032,
969,538,590,364,141,511,424,829,030,514,640,205,395,627,775,315,385,346,051,
522,038,179,967,347,934,230,986,635,699,239,655,009,162,085,972,586,302,556,
969,855,791,298,517,068,889,903,911,854,410,245,950,548,692,893,329,788,850,
011,468,280,911,805,232,427,614,939,295,332,111,696,732,612,940,448,232,830,
190,688,541,847,050,626,888,519,684,297,342,313,667,310,617,943,907,280,036,
578,486,448,398,950,815,972,915,522,416,915,534,273,363,227,888,959,893,424,
119,456,709,385,033,324,596,564,486,942,081,357,030,422,013,229,323,878,578,
809,731,427,157,756,383,771,654,160,689,057,714,512,594,787,694,965,330,117,
979,605,626,539,933,175,227,230,620,610,081,542,466,763,962,260,551,327,078,
335,825,912,810,633,917,209,307,369,544,137,957,787,899,825,987,668,276,940,
366,018,395,518,785,858,490,880,884,185,966,239,101,541,456,026,995,051,170,
858,588,370,232,607,508,289,114,366,190,757,930,249,642,766,523,650,904,288,
189,432,986,967,399,097,226,797,527,943,757,716,525,919,633,356,544,339,577,
903,526,307,154,041,148,672,323,492,184,920,782,334,655,499,565,186,181,622,
764,047,493,787,018,004,640,020,771,203,914,279,951,329,141,190,909,600,138,
124,691,375,742,534,441,594,658,786,829,766,855,191,249,142,456,722,094,360,
756,406,266,005,677,715,563,275,141,664,922,747,575,609,141,654,788,180,197,
426,226,384,669,760,293,824,099,830,518,095,463,447,514,226,100,338,818,604,
222,109,990,607,123,919,132,039,412,590,341,034,898,176,555,158,041,597,501,
406,000,574,508,843,265,550,450,555,070,136,909,958,144,628,247,306,026,175,
512,643,996,064,220,185,053,620,257,992,825,353,688,785,745,807,054,514,769,
839,172,134,949,893,692,430,860,475,330,772,428,947,066,527,982,093,323,858,
867,640,060,684,478,538,412,815,220,236,745,108,914,678,376,177,031,778,419,
332,577,755,332,268,630,191,298,954,405,146,760,629,085,788,957,489,514,777,
897,916,440,904,686,055,456,649,929,311,882,234,196,477,001,012,987,655,756,
313,841,143,747,456,558,066,161,330,418,221,323,299,304,998,044,067,727,482,
053,918,981,646,852,917,133,845,727,239,700,817,678,797,442,669,710,725,443,
457,207,158,851,631,476,777,476,052,139,291,163,684,873,653,666,508,522,511,
989,856,887,948,269,960,951,511,529,614,116,495,435,464,494,428,812,780,278,
220,935,854,361,692,931,832,131,264,592,982,060,883,874,916,476,514,278,741,
435,633,361,100,378,884,496,133,175,841,268,987,831,670,629,094,726,718,403,
716,971,898,352,545,964,641,010,752,969,371,597,683,473,223,982,125,743,406,
608,727,055,152,893,179,622,828,053,513,100,152,932,673,584,547,129,449,223,
070,679,123,628,238,993,893,132,081,359,115,757,590,676,137,681,040,721,463,
897,274,966,661,769,849,216,491,810,886,889,529,059,569,529,213,884,880,475,
329,889,553,152,045,363,743,194,036,085,673,546,645,843,416,350,813,778,074,
080,366,988,922,658,192,526,214,612,087,989,562,091,796,976,208,721,760,600,
175,690,795,777,619,484,374,953,393,182,142,155,687,489,538,810,223,559,218,
549,245,246,326,328,564,154,268,946,251,620,754,915,210,209,224,292,140,949,
483,398,431,267,039,725,677,667,834,342,550,499,414,130,185,375,199,973,055,
442,377,097,882,883,677,557,627,442,866,264,776,111,227,220,730,798,636,135,
218,025,794,114,039,074,225,230,920,620,182,941,153,467,727,812,670,802,520,
760,634,701,454,467,790,101,943,343,601,274,386,018,405,752,604,838,727,628,
734,605,900,332,387,243,157,979,966,358,980,585,093,745,370,840,169,829,578,
715,316,646,595,264,743,570,012,471,014,235,987,493,204,315,372,976,830,614,
768,008,069,685,880,002,841,723,496,731,117,993,052,059,361,925,194,510,605,
387,761,759,089,680,865,081,069,823,408,949,605,541,572,902,169,933,086,702,
307,654,921,586,960,413,423,153,723,930,488,723,844,949,739,030,580,404,015,
269,375,157,156,194,747,739,479,236,308,779,019,656,374,112,147,335,598,381,
837,068,775,910,668,853,628,576,744,474,335,170,781,248,098,727,372,655,653,
907,650,894,331,912,371,230,452,932,866,362,525,570,752,456,950,873,675,573,
296,411,669,228,396,394,052,397,969,143,212,031,408,584,517,356,191,569,579,
477,045,917,541,430,344,359,021,690,159,462,561,428,200,786,761,936,727,856,
842,975,182,987,487,354,362,116,680,851,915,351,828,517,214,492,477,023,603,
339,957,876,312,945,237,079,568,566,253,207,695,925,496,098,024,284,006,176,
099,002,970,311,711,342,795,340,654,116,983,141,521,815,570,013,577,139,166,
305,009,355,294,095,840,531,374,944,909,077,012,391,055,301,285,306,353,503,
998,913,363,474,996,183,608,192,664,501,568,081,225,630,183,040,729,840,887,
229,497,049,326,675,398,397,018,907,884,435,404,574,025,855,847,425,516,126,
291,348,504,051,952,690,974,028,642,256,898,931,151,415,736,752,012,252,847,
453,556,451,206,368,915,782,582,825,415,801,396,108,558,724,343,844,886,086,
877,007,232,155,834,483,226,263,781,941,615,506,891,092,287,632,085,600,993,
115,858,478,411,548,591,159,151,645,085,809,229,488,157,769,381,637,201,149,
539,391,435,767,670,158,456,981,370,398,163,948,400,001,239,075,224,354,572,
901,849,888,732,311,884,021,652,797,039,003,943,285,434,783,119,694,523,675,
209,481,200,487,771,730,245,622,877,548,525,061,415,047,379,516,442,216,185,
731,414,353,379,715,025,013,651,888,865,474,676,936,321,023,563,995,307,881,
075,691,497,486,551,708,048,361,099,754,726,765,931,991,351,567,865,214,465,
560,532,101,727,059,625,391,266,623,726,129,606,405,017,457,852,774,246,652,
606,728,001,947,312,215,685,892,942,020,803,881,921,590,988,730,683,354,529,
879,360,718,387,281,183,076,321,334,387,129,472,438,458,060,672,541,714,225,
782,998,694,792,598,842,695,980,571,236,793,238,892,132,252,523,064,427,928,
032,369,186,877,409,000,648,874,697,609,818,744,197,374,888,879,418,446,843,
076,978,806,701,964,253,312,816,289,337,765,070,730,996,074,232,612,705,838,
180,470,613,354,142,034,417,009,538,659,914,889,473,804,072,648,311,108,632,
239,626,759,241,141,240,677,020,679,733,821,195,856,347,216,471,921,494,976,
620,147,142,776,845,044,429,437,187,149,742,271,116,566,393,823,454,439,854,
695,103,425,019,358,060,967,593,394,221,805,653,867,400,920,774,743,232,306,
724,793,580,956,127,624,600,884,378,756,382,926,751,567,404,336,811,267,547,
142,219,638,466,703,966,453,546,107,027,734,161,429,665,769,170,486,508,906,
577,505,275,658,720,789,925,659,526,707,526,666,021,364,121,775,425,504,796,
768,289,771,914,169,067,562,394,203,983,876,330,077,054,308,566,960,585,543,
167,514,929,453,910,627,238,315,387,417,829,089,491,673,238,777,236,927,964,
991,593,512,184,390,382,442,603,650,244,757,293,915,778,898,205,407,283,617,
091,089,733,790,372,316,899,842,669,770,140,169,081,410,929,535,948,375,059,
762,597,122,399,628,174,803,639,607,647,666,973,820,835,385,819,796,730,582,
511,397,221,827,119,768,675,369,284,262,813,742,787,919,880,206,701,114,631,
259,563,230,076,513,812,457,381,326,649,251,381,358,983,203,098,980,579,910,
157,223,508,605,365,978,747,223,402,049,469,026,841,757,346,771,845,618,168,
452,110,536,362,933,680,408,237,177,294,351,269,828,123,891,602,477,936,920,
592,146,849,072,047,833,821,089,049,734,753,597,438,096,299,738,395,348,543,
367,701,750,883,167,366,082,761,031,799,914,554,004,591,741,079,875,069,197,
144,241,233,999,036,416,249,771,220,664,376,090,867,949,235,469,564,086,785,
560,600,594,768,364,068,523,351,391,209,754,666,380,124,151,641,075,942,624,
568,995,639,774,209,355,664,350,824,257,739,254,690,940,063,144,703,494,041,
355,876,532,148,548,684,809,896,375,311,715,352,566,167,955,197,156,909,872,
761,296,764,701,390,291,414,077,886,784,037,776,605,148,073,432,506,031,229,
739,113,378,551,777,861,439,582,503,231,960,986,800,343,166,252,321,212,840,
761,846,571,978,835,581,784,477,452,072,111,670,908,353,931,031,180,828,001,
371,841,942,837,276,495,846,901,414,618,773,795,147,165,449,112,440,316,506,
337,687,665,025,982,712,500,238,712,723,699,762,707,518,802,991,892,429,260,
255,753,786,466,346,597,220,129,010,846,951,636,292,842,671,323,547,290,898,
945,742,007,043,282,829,957,892,620,147,258,309,226,282,350,101,224,805,193,
184,966,126,369,614,877,557,127,096,958,584,365,203,143,711,992,580,188,036,
749,400,305,108,616,991,916,588,669,698,626,792,057,982,106,674,191,859,336,
954,161,618,465,186,947,432,777,445,208,439,726,644,941,615,022,875,661,451,
246,749,010,507,649,666,723,020,883,899,143,407,918,251,904,947,555,549,046,
355,927,756,955,901,757,287,392,628,159,137,886,433,393,778,470,812,072,736,
922,323,807,234,007,394,545,039,590,686,244,096,230,194,751,942,377,855,950,
708,390,767,464,548,677,049,504,104,556,109,819,866,956,394,794,131,288,098,
782,373,707,837,883,505,373,967,928,468,804,208,256,442,502,121,649,401,361,
860,446,621,253,926,188,220,613,065,971,790,595,986,462,049,007,919,671,483,
437,786,688,897,915,087,293,320,652,905,683,296,491,907,257,786,839,790,407,
695,400,041,728,177,107,090,348,964,999,269,783,446,533,762,428,585,147,461,
055,624,579,109,377,681,994,905,836,389,536,833,834,461,538,507,152,137,071,
059,058,395,569,652,050,118,500,972,415,039,191,260,067,560,263,459,216,308,
917,038,955,014,500,979,775,920,596,419,687,287,975,947,333,320,176,517,458,
465,948,917,186,882,014,309,612,506,579,008,848,215,221,089,006,976,513,778,
570,702,920,448,046,330,049,555,948,407,101,234,877,235,158,068,540,651,282,
799,247,379,136,684,636,706,913,782,815,505,554,162,484,516,627,442,868,635,
962,334,829,389,516,209,261,529,395,595,364,718,051,970,998,133,266,499,468,
190,011,277,633,971,875,842,217,894,478,494,920,465,145,833,855,935,343,028,
101,890,380,116,531,630,647,754,226,100,576,786,893,697,421,389,270,133,350,
617,976,558,905,319,694,573,511,450,676,371,697,933,610,498,826,033,245,261,
634,496,004,899,953,879,445,352,380,855,435,211,198,992,050,888,526,163,258,
597,681,055,375,748,803,469,030,676,532,820,398,433,076,309,629,154,256,181,
557,039,555,473,149,720,191,094,715,662,325,127,646,461,705,602,846,257,103,
259,538,746,985,403,294,239,837,455,867,880,870,562,933,161,554,415,252,590,
922,314,830,338,078,345,673,348,634,673,369,148,624,366,409,768,725,007,981,
676,086,593,395,414,260,610,550,706,770,057,403,397,913,652,152,147,388,788,
137,574,722,911,846,180,944,598,432,842,865,212,753,955,030,125,972,879,066,
917,179,779,873,733,031,443,106,079,468,648,071,937,631,049,292,720,003,234,
545,474,608,921,366,099,002,185,527,988,653,277,771,281,640,090,804,177,406,
752,754,365,511,079,151,015,399,952,468,796,340,613,577,226,963,645,492,065,
499,835,470,900,591,016,492,041,624,327,455,727,941,368,901,979,674,788,280,
905,268,088,026,804,426,185,023,331,889,075,123,111,526,968,241,155,351,593,
504,473,021,680,920,112,431,124,040,973,935,283,027,247,077,345,330,090,740,
376,034,309,173,977,935,451,752,301,867,100,619,796,292,689,154,506,797,833,
066,424,204,543,290,740,918,160,263,638,595,519,680,514,229,158,627,975,053,
708,172,708,698,740,153,362,189,075,284,064,467,082,300,709,607,649,547,258,
927,431,101,556,834,864,551,768,095,225,147,289,338,244,594,756,966,011,973,
240,852,085,711,117,378,787,751,447,704,408,911,324,683,648,966,900,297,169,
011,518,451,413,912,001,786,207,667,554,434,849,702,248,649,979,518,211,365,
606,462,178,687,368,265,741,192,834,580,465,477,597,572,597,185,164,882,153,
878,731,801,938,984,149,094,204,358,831,098,488,604,429,666,092,954,283,636,
542,756,436,412,721,110,016,296,967,342,926,036,625,196,623,449,068,136,050,
770,161,363,886,081,583,193,628,620,769,754,134,461,125,794,121,752,822,988,
669,420,395,986,882,909,179,574,072,096,932,418,009,708,361,903,716,290,933,
403,211,573,069,188,901,165,690,977,930,643,966,050,759,151,191,543,264,445,
921,018,680,261,135,066,337,522,400,784,617,633,257,588,404,087,995,518,523,
680,452,275,852,877,517,835,032,344,279,951,977,720,382,330,099,214,712,264,
027,541,628,306,727,959,870,056,946,341,276,221,590,731,929,814,607,208,599,
495,353,035,552,869,761,409,483,830,489,068,063,101,879,408,371,571,228,367,
613,843,692,794,239,755,756,074,113,803,102,839,207,809,159,289,859,381,191,
153,860,727,979,444,737,885,775,418,230,484,218,896,986,373,390,279,567,241,
675,011,714,436,091,540,794,505,183,661,564,556,948,951,284,837,201,043,541,
035,019,727,234,500,027,585,771,821,111,058,352,466,935,580,278,736,217,607,
391,074,056,012,839,913,425,604,448,221,666,682,686,603,270,559,954,335,894,
965,484,675,809,083,157,320,013,825,966,050,833,123,258,083,765,734,410,118,
854,621,544,862,907,670,186,501,937,878,023,661,098,088,089,996,692,869,549,
979,490,867,095,033,123,196,544,970,498,707,336,371,345,437,930,751,960,288,
555,057,581,993,249,455,990,202,317,090,332,827,981,463,513,513,550,394,375,
143,306,586,637,414,877,421,207,810,405,282,903,573,193,233,128,076,601,466,
653,579,368,174,141,349,504,153,628,914,908,033,256,620,191,844,545,226,787,
963,658,620,110,151,938,166,612,181,696,233,757,047,312,285,683,631,018,314,
965,638,056,281,628,103,566,499,476,843,873,530,383,738,090,397,338,141,777,
411,511,017,390,746,300,887,822,691,094,242,102,615,354,052,501,083,962,422,
004,478,960,213,872,732,211,447,943,756,304,660,770,543,909,344,612,233,798,
361,860,609,130,958,078,176,854,106,157,659,536,308,331,939,294,808,413,525,
037,984,146,516,259,774,651,796,098,663,610,848,128,088,919,782,320,966,972,
748,886,402,107,001,938,191,749,268,240,777,435,294,728,715,520,685,739,421,
513,520,849,735,582,093,305,650,367,531,978,896,498,593,392,698,285,045,193,
818,964,706,261,967,076,366,844,032,459,411,759,628,835,012,296,779,340,108,
871,776,467,187,417,720,304,333,698,112,229,272,926,363,298,983,415,785,830,
726,663,668,182,267,585,941,715,269,461,859,053,103,019,628,528,397,380,888,
306,983,966,277,665,439,252,103,656,972,575,983,292,509,679,606,020,278,192,
189,440,390,877,436,434,966,808,844,095,939,264,444,908,815,554,676,200,953,
222,754,221,018,027,414,965,765,062,817,851,764,925,036,813,199,807,993,069,
395,510,465,334,064,272,965,400,872,315,143,632,357,474,919,750,311,209,671,
199,845,987,527,568,152,311,154,359,627,788,654,585,663,110,773,768,734,977,
925,762,000,937,475,297,329,168,417,562,926,624,593,016,304,449,668,960,087,
857,294,630,071,607,918,542,406,416,930,095,368,864,518,017,514,998,527,272,
622,831,055,187,082,030,291,778,625,075,234,247,262,012,958,390,587,026,690,
036,438,605,947,897,813,900,493,922,061,732,788,724,903,175,007,288,660,186,
144,208,816,807,678,208,361,384,706,708,755,085,639,897,422,034,656,092,737,
830,487,546,102,084,288,058,684,879,354,606,691,932,396,899,717,827,129,719,
009,875,608,387,411,741,385,401,837,225,912,381,598,142,985,838,207,902,273,
899,058,769,489,106,249,818,749,093,263,283,836,946,780,346,164,839,611,702,
212,324,037,411,868,439,458,110,090,775,889,109,685,033,592,052,045,588,955,
433,609,359,056,443,887,908,016,272,356,891,856,527,297,150,674,422,194,671,
578,176,937,257,941,767,391,054,793,660,478,356,737,255,072,108,653,200,652,
455,654,177,683,296,006,057,202,803,427,536,130,968,678,275,040,086,207,465,
980,813,749,065,173,662,144,655,817,340,981,470,127,843,101,933,281,575,738,
123,457,873,619,515,521,644,580,774,922,765,752,805,628,341,671,404,582,264,
554,242,850,258,907,267,425,326,819,869,455,251,479,909,892,794,482,762,603,
383,992,573,732,859,801,966,136,959,797,241,459,934,162,454,261,589,785,880,
268,409,675,494,542,415,629,882,531,260,664,696,163,912,520,920,944,492,885,
047,188,871,532,371,596,455,173,947,515,903,655,600,439,535,154,356,035,212,
395,480,179,780,775,895,730,422,839,701,905,246,976,604,750,119,865,256,240,
719,392,711,686,787,697,890,819,285,644,080,532,426,459,507,706,311,096,138,
737,981,761,367,657,583,362,593,931,774,427,281,769,081,902,761,793,698,634,
631,948,189,038,661,440,022,808,504,911,838,444,423,705,610,304,081,079,153,
738,534,593,778,548,529,423,006,985,621,070,879,299,884,094,362,696,511,712,
819,046,750,768,480,909,997,700,614,033,698,033,097,664,038,576,812,209,364,
385,473,201,101,687,610,838,549,224,717,606,977,422,777,910,542,531,639,125,
589,579,782,799,944,555,811,825,768,798,473,546,883,364,748,205,722,820,664,
169,185,205,701,873,828,630,874,659,010,600,757,598,355,140,562,056,658,439,
262,545,420,216,824,109,690,475,208,554,458,134,405,367,609,596,948,129,976,
913,187,320,750,298,688,091,276,679,826,571,693,750,248,301,327,747,206,792,
467,087,907,472,593,741,134,278,889,925,460,013,148,011,585,198,859,384,140,
819,545,724,744,510,888,131,912,056,391,543,815,936,914,061,478,033,867,908,
012,011,946,814,507,130,166,751,372,697,818,555,314,110,240,030,778,542,664,
796,720,516,444,852,454,243,995,449,840,656,003,442,601,834,293,068,516,842,
990,218,010,728,434,932,018,491,908,645,940,192,293,360,093,620,630,334,053,
285,295,248,129,105,995,758,837,053,602,437,317,460,012,197,290,381,434,036,
645,021,556,781,944,853,897,809,559,719,713,688,609,255,670,657,005,273,774,
807,314,750,493,206,009,975,879,163,407,119,182,068,037,607,649,125,239,315,
539,989,162,532,515,745,541,157,934,167,073,954,731,935,480,393,046,250,201,
009,776,889,199,557,434,463,895,694,856,602,357,835,768,640,183,832,913,154,
482,197,773,940,548,067,123,839,571,599,278,656,164,452,505,137,297,525,937,
694,759,746,229,681,605,936,388,660,625,050,882,016,824,074,679,867,175,410,
533,377,299,171,928,039,704,313,903,519,529,454,629,088,699,568,279,040,082,
166,395,463,581,699,811,852,883,711,861,607,239,568,977,420,190,749,620,813,
600,367,411,268,530,002,331,238,204,969,256,423,093,575,201,537,765,726,031,
466,105,775,343,682,830,773,516,061,062,622,785,530,001,454,966,788,131,772,
612,596,453,713,979,654,417,828,366,360,577,260,637,039,742,463,829,621,217,
737,114,312,945,843,085,561,341,921,455,007,614,232,606,708,955,036,105,973,
507,309,407,777,191,619,510,629,109,307,587,775,486,778,279,054,221,070,826,
905,527,318,588,124,102,887,228,316,775,340,698,146,193,701,989,093,994,304,
748,620,569,607,568,406,249,606,035,896,431,170,080,629,472,186,266,009,789,
480,762,707,740,255,170,653,112,441,708,780,935,444,080,426,985,096,198,054,
255,384,945,984,246,895,588,183,614,656,357,594,475,761,803,447,979,737,661,
773,108,237,505,656,325,191,633,412,068,995,877,651,747,791,301,603,589,204,
375,177,531,269,120,743,541,465,473,507,140,355,783,207,775,003,053,515,334,
723,542,689,134,587,040,453,529,898,881,858,253,508,752,037,571,399,377,551,
046,835,219,664,893,321,807,088,490,827,208,875,878,594,194,432,851,977,177,
617,124,184,019,155,904,632,757,468,831,989,791,408,946,583,169,711,096,898,
937,400,081,583,142,189,318,732,278,719,247,700,672,184,830,292,232,133,424,
810,696,497,690,088,831,414,967,061,876,481,585,355,056,544,443,889,358,250,
762,484,670,933,032,473,064,425,872,771,302,201,972,240,914,109,701,902,181,
358,972,178,784,329,964,178,611,837,335,005,776,072,492,819,362,168,169,452,
405,701,049,857,756,694,835,759,518,551,679,188,210,270,440,137,469,007,071,
102,601,651,945,727,772,567,592,512,327,483,239,706,941,496,580,099,496,684,
126,385,318,564,114,857,704,872,618,718,697,185,240,558,501,118,032,250,606,
104,454,699,122,051,133,269,498,959,328,297,693,335,315,741,017,566,833,767,
906,529,928,737,747,261,674,863,052,341,036,064,806,671,582,038,520,176,588,
065,276,990,365,418,372,734,110,617,394,420,021,410,159,635,879,516,975,020,
585,119,257,852,493,060,252,050,582,994,928,065,508,539,292,927,398,092,072,
275,910,421,146,483,141,305,171,006,524,146,234,251,050,180,385,519,188,621,
632,147,512,491,676,892,661,939,390,765,807,018,897,351,781,872,192,826,012,
901,945,233,914,865,239,240,758,574,430,052,497,741,567,120,374,788,411,940,
287,707,292,743,936,100,017,140,598,012,930,371,200,616,856,546,242,792,349,
396,856,019,443,232,465,008,356,202,225,121,128,514,356,892,409,545,130,447,
253,369,066,180,034,413,820,039,859,412,003,101,794,942,767,840,317,634,871,
413,625,023,929,461,858,814,172,431,696,492,472,107,870,184,582,864,737,261,
757,520,523,909,909,306,120,642,989,802,679,864,147,774,874,403,627,775,609,
538,976,474,884,648,703,519,184,931,695,825,613,092,850,448,156,702,255,318,
116,102,545,339,542,378,213,492,310,267,836,658,618,710,117,372,504,017,797,
676,628,670,124,972,511,780,160,802,657,106,013,470,841,508,482,269,759,469,
489,738,223,981,737,804,997,192,241,382,104,290,116,596,537,826,803,631,233,
858,747,648,217,276,902,075,516,943,842,489,268,502,170,140,632,063,463,936,
061,927,584,978,598,451,677,198,310,997,473,483,632,616,732,277,513,455,410,
858,322,453,711,016,589,100,197,460,900,993,898,317,791,450,845,988,561,337,
073,005,060,842,534,064,114,644,536,426,487,662,344,478,992,746,999,730,331,
591,043,006,832,081,941,238,780,316,575,754,118,206,506,816,413,007,363,769,
994,996,049,690,168,858,194,180,829,050,146,122,773,486,585,644,525,498,134,
352,727,109,845,642,380,737,154,056,037,640,165,841,144,627,516,577,769,424,
600,932,792,832,597,167,191,270,782,959,750,915,015,820,622,182,972,831,876,
014,304,705,871,758,177,130,352,744,749,410,363,837,227,723,690,702,717,182,
953,280,728,703,147,767,958,700,738,007,125,053,247,803,864,285,415,088,324,
199,710,923,968,705,080,738,027,054,152,266,854,053,973,947,493,239,540,110,
074,798,088,761,078,335,810,737,091,365,718,919,513,866,485,358,018,278,593,
196,507,146,864,008,182,824,977,397,405,367,664,018,160,481,699,837,391,028,
451,290,487,459,574,509,282,932,219,823,092,449,590,619,643,878,132,422,884,
374,243,682,610,452,990,605,774,225,862,179,907,733,984,591,178,223,731,414,
300,332,909,082,688,065,921,540,710,023,315,776,875,771,908,275,155,533,824,
158,214,053,251,047,875,862,972,942,494,926,784,393,093,709,587,883,479,839,
118,972,960,349,658,460,207,093,897,327,797,315,615,106,886,922,248,026,981,
773,489,572,931,993,427,751,468,973,972,663,662,100,108,268,106,415,980,450,
104,008,534,321,299,024,355,773,898,428,273,599,473,691,529,467,769,550,693,
861,424,197,004,663,483,968,878,684,279,316,810,229,220,986,605,113,167,587,
872,090,522,401,879,380,823,487,547,948,494,385,954,447,561,000,753,470,214,
135,292,778,863,685,997,253,093,406,756,400,642,680,327,782,725,948,501,088,
692,684,007,193,534,219,247,835,531,877,342,737,184,718,112,770,402,229,230,
118,485,621,903,736,837,929,366,154,872,017,681,091,670,889,412,595,502,830,
311,964,451,394,886,733,187,583,686,182,112,428,092,368,477,650,799,366,756,
071,149,761,561,897,374,695,916,492,021,398,108,062,871,804,750,746,199,531,
078,491,430,828,465,520,977,410,476,215,144,500,631,866,062,355,136,810,431,
893,878,672,690,265,472,468,545,388,594,802,946,284,103,475,407,180,293,328,
769,812,891,960,761,804,854,093,473,523,125,159,256,784,873,820,182,582,119,
501,078,211,634,334,884,795,097,537,989,781,872,152,341,793,602,423,796,916,
974,803,897,431,663,036,273,652,036,024,777,246,835,469,388,540,273,691,616,
983,200,026,963,869,640,447,526,123,359,477,843,244,860,915,567,940,234,351,
838,805,739,554,058,914,453,060,151,337,903,691,520,344,996,751,578,318,602,
783,007,668,806,172,490,894,733,493,266,447,174,543,465,096,803,432,185,819,
736,089,587,101,815,616,314,196,015,806,002,311,393,508,352,572,990,330,378,
823,184,908,506,334,410,952,042,611,786,241,363,949,818,795,936,324,820,208,
180,293,456,625,388,409,293,371,130,712,784,119,505,413,780,406,760,014,252,
370,595,525,696,684,597,961,478,336,861,102,817,315,658,310,539,337,282,306,
087,855,678,702,362,287,913,993,989,698,425,280,485,910,093,639,537,311,108,
810,778,253,575,426,335,424,591,461,281,956,953,598,212,741,881,288,114,411,
891,418,214,903,086,635,307,325,048,862,332,673,921,112,477,010,355,541,465,
738,143,603,171,117,136,166,256,926,295,752,498,676,417,369,032,915,608,973,
504,778,767,745,230,528,167,434,583,941,984,682,131,296,772,889,125,987,756,
501,693,536,024,091,718,250,686,938,373,588,876,313,518,345,063,666,886,016,
493,863,205,582,154,204,285,032,433,764,890,932,002,857,069,896,326,289,180,
887,722,518,651,221,875,420,962,407,919,803,586,060,551,631,552,285,274,945,
573,917,614,851,732,362,101,254,093,391,141,787,583,929,026,898,801,281,881,
814,174,157,008,266,728,890,359,849,225,219,361,413,921,064,316,534,976,724,
559,924,517,031,956,434,105,208,542,294,472,958,961,234,985,273,902,421,021,
265,876,019,348,107,982,229,570,626,507,152,192,000,878,758,450,799,640,505,
260,704,326,564,029,453,664,637,485,177,597,428,937,841,557,587,174,104,262,
869,886,153,426,108,980,462,802,147,392,212,403,166,793,920,712,482,260,773,
120,068,925,310,129,390,251,356,022,638,364,567,993,164,815,743,797,150,823,
451,679,995,790,509,756,717,840,527,092,041,485,055,251,653,576,497,168,512,
560,010,660,410,573,875,879,285,978,062,078,788,153,852,129,348,698,703,840,
921,079,134,352,357,685,621,994,323,808,986,059,778,940,087,072,425,053,263,
304,942,415,408,010,512,920,861,522,434,887,941,096,220,829,284,526,290,953,
316,186,100,218,504,591,119,512,645,136,887,873,221,865,602,646,083,554,374,
960,112,286,056,081,361,931,092,281,333,894,776,902,618,643,929,594,486,889,
323,187,655,278,938,555,481,499,114,265,067,182,547,459,326,383,272,013,420,
347,193,801,923,111,430,497,122,135,146,970,679,328,149,592,762,710,880,741,
747,054,352,328,538,252,575,175,364,248,302,936,677,273,567,986,230,120,316,
226,097,997,436,647,690,522,731,866,787,524,561,424,260,701,825,617,011,516,
486,891,612,729,487,014,621,840,889,131,705,673,389,455,945,122,987,042,757,
126,283,678,552,478,347,997,964,763,815,038,773,656,462,282,869,686,876,444,
782,760,512,287,610,662,661,154,785,287,521,635,972,954,075,086,750,413,786,
233,158,402,437,195,424,858,728,081,158,582,655,012,134,732,743,741,601,796,
956,105,521,374,767,410,980,129,879,532,950,134,965,926,192,289,642,588,898,
865,028,083,816,322,089,471,015,880,866,200,397,531,242,252,004,119,615,952,
340,252,294,396,949,606,215,886,786,770,095,166,389,317,508,744,913,194,814,
203,857,144,909,108,490,764,580,298,469,047,874,680,719,763,296,869,070,595,
103,218,866,215,018,944,721,401,856,965,227,559,764,813,870,082,408,319,383,
952,613,795,515,368,244,409,157,229,699,475,335,498,477,529,122,788,048,905,
222,358,753,902,519,677,497,435,564,267,337,137,813,406,434,798,465,931,505,
366,750,360,310,660,572,366,083,827,759,727,234,537,857,639,277,188,078,668,
171,927,760,750,879,600,303,615,120,884,885,983,318,569,114,718,796,867,297,
039,530,310,278,638,622,955,783,164,675,127,739,453,396,186,574,251,251,282,
343,349,211,066,430,066,942,771,061,166,402,660,479,554,351,699,522,996,678,
355,914,661,954,967,982,020,432,137,336,590,791,562,087,819,104,775,001,934,
698,781,413,077,794,556,071,927,544,835,195,704,537,941,737,724,682,379,009,
156,924,512,184,507,644,039,025,736,757,776,716,126,003,454,373,437,932,034,
629,945,036,971,965,904,622,412,863,115,565,388,602,766,789,218,654,852,542,
400,126,934,116,243,353,371,839,912,004,961,397,966,509,807,400,336,099,309,
376,131,694,147,609,254,431,339,118,905,669,536,896,461,267,964,227,425,341,
002,470,798,856,474,031,775,606,486,407,198,684,522,387,255,301,423,798,001,
350,549,723,718,948,842,523,321,773,620,150,572,977,956,968,865,175,877,111,
100,952,183,378,367,304,593,762,099,376,678,101,649,646,768,413,206,646,991,
227,910,841,266,900,936,942,587,692,516,809,104,826,202,433,606,649,792,553,
524,033,607,584,582,232,465,165,411,712,059,829,352,599,181,244,611,818,630,
347,693,268,433,521,038,506,145,539,712,257,836,464,747,479,512,979,559,156,
612,145,566,231,431,749,139,160,316,241,627,702,224,425,822,544,493,711,566,
325,433,368,199,744,749,508,449,919,942,976,260,510,839,700,368,562,654,716,
981,054,653,303,196,931,880,491,607,128,789,193,486,017,221,298,064,663,722,
722,084,498,029,559,245,572,706,407,183,592,990,009,999,280,164,666,962,105,
297,460,007,878,924,907,848,106,124,099,222,717,585,015,667,030,989,978,784,
811,252,431,988,658,848,768,465,207,271,730,631,877,139,001,576,963,825,534,
841,907,933,450,944,987,517,820,877,521,761,285,287,691,465,267,157,031,373,
024,800,875,849,043,313,161,626,238,466,789,800,808,649,418,331,748,630,494,
339,840,569,431,460,582,150,132,803,625,404,131,223,149,510,858,338,030,375,
727,607,949,482,758,012,838,577,955,148,173,173,168,835,251,376,128,973,369,
745,572,222,417,556,690,238,613,369,643,996,204,025,079,500,544,757,112,648,
688,071,114,890,040,769,736,889,422,016,357,094,464,959,680,600,148,505,530,
969,820,589,134,295,669,291,758,866,061,525,205,900,026,689,083,494,518,422,
804,189,790,958,177,162,538,131,599,940,547,742,667,394,593,098,801,574,293,
570,920,976,387,060,011,632,005,518,773,917,639,426,869,629,057,955,525,959,
775,778,208,963,671,722,515,532,543,173,666,188,914,456,992,279,446,051,922,
176,783,854,220,144,355,827,631,895,501,687,759,023,150,258,976,711,632,857,
490,217,774,692,213,300,692,588,505,930,619,138,388,603,171,777,482,926,087,
992,891,984,392,173,697,256,613,381,070,721,040,122,342,868,392,277,858,990,
048,618,666,691,376,966,108,161,101,473,358,224,799,245,188,782,175,223,486,
620,260,070,547,277,906,707,925,337,950,126,697,245,179,140,641,384,910,566,
391,508,698,961,102,340,291,134,127,494,033,420,594,055,992,958,901,276,703,
715,224,339,727,359,756,352,506,859,433,776,865,543,868,762,852,268,292,366,
920,326,286,988,162,292,245,814,244,770,790,451,350,087,852,463,799,677,368,
830,408,370,448,269,737,547,223,542,187,491,239,257,201,690,989,322,056,011,
220,937,163,914,498,060,599,388,248,882,216,229,590,135,083,380,984,601,036,
920,437,152,735,947,188,189,318,804,732,092,922,291,487,438,264,969,830,804,
842,272,171,575,326,995,005,653,805,732,261,932,516,473,653,572,493,701,060,
028,064,693,160,183,193,670,143,325,926,645,739,558,606,110,221,317,086,356,
202,828,247,421,143,167,689,472,441,923,619,532,253,760,802,631,385,155,295,
755,928,472,243,375,202,586,961,139,108,501,211,381,527,516,923,001,124,400,
094,176,562,735,611,442,448,219,729,680,030,789,050,703,118,421,991,730,334,
739,969,217,212,659,993,627,862,480,800,249,038,743,841,397,700,121,327,836,
157,861,500,875,292,039,100,737,229,802,877,448,299,180,036,575,192,234,420,
003,834,372,293,095,438,766,303,553,729,788,497,246,772,001,180,052,201,325,
219,473,080,747,628,811,650,950,845,606,757,735,092,302,998,601,463,012,359,
953,487,267,988,644,944,730,471,810,021,812,232,643,918,880,189,911,329,692,
865,982,503,248,093,285,443,915,844,832,365,140,506,273,832,478,228,250,484,
256,718,094,240,811,700,381,268,450,625,931,849,483,691,525,990,200,998,310,
765,113,310,763,301,229,072,759,272,698,762,122,085,964,700,528,467,290,485,
757,643,569,176,886,072,584,915,559,857,197,782,368,711,108,806,704,092,526,
016,786,167,708,525,075,139,008,732,110,333,140,793,508,715,668,053,984,280,
689,570,555,263,010,351,080,295,719,102,998,146,874,846,592,179,442,827,034,
466,555,712,689,091,804,571,203,423,842,144,039,780,677,902,167,836,610,321,
750,542,636,771,772,860,313,074,818,478,212,125,892,833,977,881,176,919,583,
178,449,582,923,672,891,915,269,354,276,431,215,968,429,142,294,033,141,212,
998,260,400,713,744,507,155,964,285,602,894,368,919,629,789,767,942,360,034,
673,616,809,040,508,830,456,089,390,429,765,608,565,206,887,591,343,353,174,
603,781,731,535,772,735,025,966,103,692,157,705,413,633,330,702,747,580,684,
004,813,910,118,371,001,451,774,590,202,375,661,725,244,539,110,772,140,806,
263,652,816,957,109,037,056,700,444,291,648,690,018,504,518,607,457,434,725,
496,389,731,477,904,089,417,891,766,426,255,207,367,595,639,447,322,311,831,
646,006,478,585,359,803,203,426,970,542,116,890,239,194,172,251,364,270,804,
194,856,559,783,500,196,630,538,514,710,591,178,947,876,068,252,539,051,184,
023,203,945,639,439,400,436,516,508,290,889,297,530,510,731,530,523,276,963,
146,778,796,337,984,321,352,555,319,068,931,612,203,810,367,038,760,633,333,
061,479,922,404,521,878,101,255,938,900,862,492,358,283,563,739,633,815,628,
238,689,763,775,397,936,655,335,974,391,049,781,218,972,672,552,775,350,079,
397,771,873,463,573,045,194,609,582,660,295,346,155,283,908,077,940,061,759,
718,359,040,511,217,929,060,191,230,922,707,779,096,038,182,301,559,172,761,
679,583,492,269,312,758,866,772,601,476,849,659,760,114,673,378,049,736,358,
253,548,953,264,648,985,831,203,808,710,758,884,744,413,098,099,527,964,565,
769,718,677,182,444,416,582,478,060,395,053,200,286,917,326,773,392,529,966,
100,146,312,924,037,804,646,098,886,437,520,331,585,122,320,788,844,303,796,
404,864,972,102,241,239,862,918,182,737,399,695,218,223,819,400,000,266,070,
498,342,142,163,533,578,326,817,099,001,216,406,670,073,091,900,537,419,807,
536,391,215,680,890,278,239,504,424,994,887,279,336,272,270,850,770,869,203,
090,406,128,088,783,118,049,101,382,713,712,140,987,698,816,193,526,736,386,
305,028,130,441,097,052,363,863,037,502,474,753,484,696,226,742,946,498,745,
037,829,508,983,689,926,551,139,952,391,386,192,335,131,367,399,066,013,393,
808,210,120,341,385,330,066,539,151,033,815,426,985,738,196,980,269,579,924,
207,657,810,687,677,233,601,990,752,799,679,393,916,575,602,537,377,976,920,
676,485,675,647,374,973,413,175,758,552,693,008,482,789,689,985,029,283,393,
015,971,111,082,134,578,564,086,004,037,613,539,957,776,875,240,413,135,845,
148,544,475,567,273,485,183,802,885,340,598,672,414,143,681,564,359,849,502,
560,706,657,613,506,249,737,790,025,978,870,762,640,088,425,269,300,222,667,
116,994,163,239,422,172,313,322,288,313,014,445,575,803,873,264,162,323,273,
041,920,426,357,627,465,718,500,874,114,883,909,881,261,383,775,420,681,954,
665,346,907,492,523,330,586,028,552,980,717,222,221,397,728,666,487,694,278,
717,862,898,322,340,141,378,448,062,656,820,282,051,012,121,877,122,343,054,
849,987,141,074,501,358,772,668,789,217,700,113,537,550,694,880,475,563,320,
272,143,903,898,254,045,064,427,350,646,958,078,368,757,596,164,947,849,074,
649,729,839,124,139,407,343,157,244,611,318,351,847,599,937,323,825,070,577,
519,724,477,636,196,567,822,275,673,996,903,495,934,961,611,775,477,304,691,
109,123,789,614,140,294,282,718,931,166,009,190,941,718,927,528,709,033,657,
885,819,857,101,418,615,528,947,879,133,854,356,196,239,969,504,107,188,703,
984,256,195,383,102,751,367,985,513,134,528,478,238,160,385,918,000,282,861,
965,043,044,951,403,741,440,173,816,912,413,852,103,920,965,462,408,608,330,
760,682,965,944,523,893,489,312,012,100,247,228,711,375,824,371,789,069,045,
032,874,044,795,909,066,857,084,678,878,325,249,311,347,373,511,501,344,552,
412,722,979,060,951,420,035,240,417,738,880,129,709,594,554,056,504,180,812,
535,875,976,543,505,650,077,277,219,991,376,030,896,340,631,168,257,850,083,
281,609,421,075,006,653,250,888,307,008,687,954,632,008,234,064,235,293,727,
451,492,087,788,124,161,581,283,653,494,234,242,850,779,232,491,596,495,747,
508,719,573,481,088,052,265,812,735,833,333,212,692,990,800,004,717,556,115,
451,847,970,372,648,639,148,608,223,334,008,206,279,960,642,216,192,814,459,
574,455,410,526,984,099,557,464,891,779,836,120,570,558,527,439,678,430,055,
514,261,851,607,639,032,847,018,333,769,538,678,274,097,749,328,426,854,708,
145,456,923,331,032,453,450,650,399,811,724,648,122,626,881,242,787,178,671,
138,242,263,365,395,402,265,109,765,451,584,259,451,051,889,461,948,441,823,
236,893,809,237,465,440,293,378,397,807,537,424,154,694,110,058,661,829,427,
155,376,708,273,866,280,142,556,071,179,379,613,348,911,150,412,879,307,956,
132,772,216,496,662,937,861,506,073,249,700,940,662,553,675,214,502,743,859,
978,406,506,065,462,923,211,249,156,997,658,183,821,741,778,635,231,959,112,
923,644,599,071,171,806,436,459,886,533,295,416,798,730,207,417,574,606,550,
970,594,715,594,299,865,419,601,104,289,163,052,100,170,013,807,271,844,919,
659,521,803,008,924,960,513,296,192,526,155,568,856,428,322,118,277,688,840,
718,139,424,642,884,106,515,790,251,743,401,547,360,364,121,138,442,821,209,
612,662,919,097,419,530,662,655,153,910,124,405,840,642,178,593,664,930,929,
973,305,324,134,448,052,178,635,839,976,375,120,026,142,892,567,673,203,218,
432,124,250,321,261,872,145,523,568,380,971,727,310,088,130,424,422,798,841,
344,792,222,752,910,840,728,465,548,895,832,242,706,225,460,054,945,923,741,
918,048,272,421,691,372,323,366,165,397,380,119,031,699,092,690,524,110,933,
922,967,221,858,652,020,074,554,637,417,886,817,689,446,060,147,817,284,199,
846,978,851,761,973,039,874,596,175,972,568,913,129,639,510,773,203,109,573,
710,057,080,132,748,339,860,732,252,381,685,076,281,370,553,627,481,796,847,
667,575,892,104,772,008,723,365,595,978,974,861,200,555,094,767,205,371,803,
726,958,017,663,219,668,226,939,463,621,949,762,240,431,013,006,338,435,063,
233,215,084,688,090,357,745,869,888,892,834,981,209,854,169,957,741,508,003,
333,156,615,624,377,149,655,266,431,516,885,123,781,439,388,679,429,253,074,
297,407,920,233,179,553,921,185,111,299,106,751,959,482,038,293,673,500,189,
178,219,950,144,148,051,455,282,035,083,420,907,187,622,518,429,911,474,056,
015,133,246,576,499,565,618,724,519,126,014,813,923,943,542,811,059,192,253,
455,072,346,340,914,149,880,441,922,389,187,370,690,458,370,487,071,724,961,
664,550,444,822,965,240,648,603,045,888,832,048,016,327,571,855,301,885,114,
444,575,492,468,213,200,289,700,110,438,048,884,286,011,711,579,417,328,124,
732,578,377,277,072,633,099,248,636,921,192,149,619,217,225,558,976,538,454,
710,733,031,738,116,332,682,835,499,473,058,098,933,151,994,964,463,916,927,
963,041,109,554,229,650,329,643,025,778,616,302,783,219,697,159,531,385,969,
942,615,647,285,411,358,149,819,830,866,339,326,158,180,368,230,727,082,198,
106,026,690,489,310,215,290,496,100,485,464,489,849,059,966,021,284,132,157,
650,332,881,432,711,376,549,380,708,822,923,870,341,411,635,928,815,472,548,
765,577,787,016,384,964,082,422,324,746,150,128,169,501,340,634,747,508,227,
830,888,095,492,593,847,631,238,637,674,330,038,070,057,242,430,939,276,627,
726,073,097,099,519,796,134,000,297,322,031,207,616,780,768,113,822,000,896,
413,917,904,829,487,764,319,931,819,869,825,137,293,625,707,220,485,810,925,
091,953,466,862,207,464,563,839,347,654,793,583,274,222,849,542,345,004,002,
651,756,326,044,598,841,331,542,683,460,846,511,158,592,386,201,894,652,240,
069,038,555,498,570,872,703,574,288,311,302,463,662,000,127,791,402,417,631,
734,454,794,372,784,692,659,983,569,022,964,411,944,087,366,346,971,913,900,
304,950,272,226,070,167,973,679,540,858,446,049,228,759,333,564,738,513,613,
202,869,201,489,162,976,034,170,717,860,533,246,914,743,534,045,526,427,770,
392,604,990,931,162,115,359,084,308,090,624,808,452,344,798,932,807,253,121,
696,411,307,880,877,431,400,003,088,825,873,030,650,924,419,505,928,426,753,
799,462,329,352,202,764,307,123,295,805,136,605,739,488,786,408,236,401,941,
646,292,231,473,397,454,017,673,826,159,924,690,224,176,124,683,704,648,149,
848,293,104,956,498,867,618,245,435,039,751,211,235,831,630,031,075,970,601,
008,022,537,230,657,306,662,656,046,741,361,219,949,481,620,194,333,468,105,
782,141,492,126,859,684,847,726,666,762,002,883,845,912,021,137,539,237,963,
757,752,707,861,043,192,512,204,635,846,708,064,088,378,962,706,370,357,079,
107,981,495,931,679,000,336,278,294,169,215,585,119,741,507,493,256,345,501,
349,694,567,078,076,516,330,725,592,717,623,347,582,228,444,240,185,348,382,
261,761,608,194,502,572,203,085,682,275,988,358,443,616,224,938,173,263,079,
272,926,550,717,969,728,331,228,929,733,014,994,958,226,019,159,995,488,692,
688,350,253,906,055,727,723,614,768,786,726,525,588,252,121,668,334,190,712,
339,455,232,958,936,459,006,810,298,881,586,010,230,049,906,721,255,198,234,
415,618,182,341,915,763,787,670,232,239,989,147,840,611,732,399,316,420,537,
497,380,798,458,417,669,058,632,008,738,753,449,141,640,704,062,518,577,788,
451,032,557,946,077,718,237,149,740,318,451,581,482,414,724,113,267,324,816,
669,448,587,980,694,485,906,858,961,342,039,851,663,258,373,220,055,587,451,
836,454,531,239,518,414,237,127,044,787,935,150,778,249,985,486,781,764,990,
468,602,668,249,240,635,150,939,570,842,110,526,717,702,625,410,490,315,730,
536,884,168,437,843,260,249,367,417,276,960,343,729,604,216,921,090,983,309,
302,078,116,554,233,030,155,421,137,080,472,120,770,442,881,723,324,868,555,
414,481,314,440,448,316,249,437,563,357,560,793,903,133,542,901,163,111,367,
109,257,619,956,676,982,701,953,522,436,790,716,721,137,771,205,244,142,159,
551,727,362,603,042,040,669,083,949,206,149,091,081,863,718,742,026,146,974,
888,036,318,239,106,993,882,940,781,054,341,705,776,056,678,476,849,298,647,
184,552,232,048,212,330,871,259,786,124,832,761,146,015,489,376,435,840,477,
965,271,300,013,648,491,763,336,739,005,039,783,214,059,314,609,921,843,167,
520,310,858,638,892,601,521,743,729,485,693,674,903,428,443,333,202,205,240,
863,468,842,885,584,383,462,964,425,192,202,696,025,062,859,097,244,253,046,
900,175,340,447,767,361,881,484,700,861,739,998,170,926,674,482,555,076,826,
505,605,608,785,858,646,254,347,452,424,379,397,538,902,995,515,031,022,152,
908,035,858,189,457,862,533,316,228,449,042,938,830,262,374,680,735,315,409,
696,111,949,296,240,362,535,584,348,964,313,123,124,993,029,798,923,190,633,
039,025,360,804,268,299,686,539,935,830,927,667,999,416,568,654,654,522,087,
489,525,527,799,167,790,004,222,813,861,763,603,733,285,697,466,485,870,689,
386,933,271,964,184,879,369,223,967,238,569,647,289,455,416,002,562,604,977,
335,153,351,867,794,213,585,977,867,933,205,944,733,961,802,101,989,138,847,
743,158,527,251,506,285,687,123,374,475,744,484,250,279,905,726,700,009,269,
102,757,729,673,362,191,714,765,500,311,584,833,021,082,867,458,066,719,275,
428,480,597,286,715,831,211,863,852,468,569,639,916,257,564,479,559,435,409,
813,603,493,382,641,787,495,310,434,038,114,311,285,445,474,231,541,650,374,
755,029,944,310,439,214,829,817,827,933,175,814,300,362,744,496,932,080,804,
302,629,656,059,044,086,464,492,429,043,260,804,441,963,157,085,329,833,768,
436,411,927,289,225,210,925,736,810,779,766,641,566,106,501,894,879,871,421,
366,808,240,558,300,444,540,840,185,921,101,719,858,174,994,079,097,954,205,
047,332,150,904,717,047,076,203,365,325,181,294,899,002,481,232,626,005,657,
263,401,801,541,789,436,195,946,892,078,705,762,920,090,966,067,608,862,040,
193,703,673,056,924,785,984,319,199,114,653,270,732,067,566,366,762,025,883,
439,249,656,360,710,858,854,325,080,528,252,056,234,462,770,671,265,236,370,
856,802,773,464,213,600,250,843,599,174,465,112,276,056,545,479,057,904,432,
133,492,057,910,302,385,519,428,263,121,310,747,862,509,582,266,356,809,570,
514,897,977,997,051,833,955,821,286,679,318,649,986,027,322,452,081,491,399,
623,052,365,814,825,482,823,093,110,312,847,062,094,276,985,107,873,212,500,
333,873,323,180,334,545,833,522,073,431,196,116,174,661,928,927,583,627,774,
087,651,258,564,404,089,338,928,990,153,970,306,560,282,166,210,775,858,026,
829,892,561,167,722,580,182,015,521,442,584,453,180,164,316,822,235,044,674,
024,926,885,023,200,830,491,221,991,721,145,262,116,665,420,403,348,907,314,
794,690,833,671,639,330,646,125,542,213,869,819,393,875,505,607,371,418,545,
757,331,850,882,999,991,489,928,899,377,559,078,386,625,678,362,605,898,323,
942,655,532,361,866,607,087,928,063,801,856,188,332,088,043,846,851,041,403,
189,243,795,790,786,157,018,497,091,473,201,464,876,810,482,768,618,404,511,
068,331,118,504,214,925,799,787,718,789,883,840,545,829,939,513,118,721,006,
855,340,023,280,655,466,126,286,601,715,437,060,963,941,201,646,551,234,252,
980,837,186,237,208,766,824,774,723,741,149,119,308,765,877,749,226,224,420,
468,625,246,951,146,312,334,786,646,666,987,641,770,873,182,143,924,681,421,
119,445,015,861,098,109,240,438,480,803,599,066,846,824,892,625,570,711,897,
777,849,035,878,657,448,712,804,812,617,261,158,672,203,728,298,970,869,927,
577,324,081,491,620,059,971,798,151,341,994,870,960,373,767,336,158,278,082,
550,697,612,989,766,784,830,067,106,166,862,887,183,516,767,755,131,546,252,
065,044,352,303,143,100,896,806,395,276,504,546,902,224,689,767,915,032,688,
202,315,911,825,231,552,821,809,618,530,857,382,589,197,281,396,657,299,603,
247,208,197,963,078,817,042,771,502,886,274,794,170,956,080,563,239,921,092,
594,840,484,027,351,032,699,403,437,833,793,211,179,058,465,808,768,014,907,
283,571,385,911,440,558,223,220,962,307,934,111,182,495,422,514,238,121,531,
290,043,758,389,416,022,367,929,184,956,551,976,363,990,153,767,525,524,953,
990,483,644,941,283,994,871,872,820,933,205,535,034,958,637,415,368,994,240,
148,536,333,719,858,978,023,456,453,347,898,170,751,384,164,762,975,901,405,
203,317,370,635,335,742,409,980,301,341,172,639,573,351,202,297,410,143,473,
621,334,980,634,497,099,302,141,431,544,774,464,118,546,080,021,056,798,717,
694,353,567,175,292,107,482,220,082,593,134,795,438,735,017,990,312,023,784,
577,993,098,476,540,501,978,099,328,355,027,111,951,987,474,945,689,375,382,
506,256,067,429,011,836,859,547,487,486,347,769,515,625,271,314,871,366,306,
355,397,314,588,607,479,730,286,539,394,822,251,705,667,492,208,983,494,721,
919,789,476,038,621,492,484,819,011,230,161,886,105,577,555,406,969,796,065,
168,077,747,710,567,709,683,582,697,207,670,817,498,470,366,881,436,859,403,
385,932,057,731,275,016,381,017,239,415,731,708,597,116,014,592,558,321,515,
883,083,237,492,310,666,755,570,866,822,156,943,728,866,493,151,648,232,419,
395,127,036,864,833,455,877,994,121,810,352,666,718,238,277,742,173,027,028,
559,905,799,935,387,210,020,611,803,391,709,468,590,907,266,148,210,532,780,
857,158,939,551,228,737,009,736,209,940,378,418,209,626,913,440,402,279,556,
563,045,192,308,483,219,335,784,379,991,370,979,432,473,380,943,206,622,018,
635,409,745,968,920,746,615,399,114,755,125,421,687,962,914,689,904,307,387,
462,758,746,288,140,629,042,134,937,233,653,146,378,773,167,775,285,172,018,
150,416,337,108,338,528,297,870,259,715,093,671,056,580,698,159,197,786,497,
568,627,118,134,518,892,840,512,021,949,248,365,018,005,458,285,365,131,350,
877,489,709,157,601,148,611,180,946,057,362,582,503,978,894,633,694,703,377,
148,500,396,433,604,749,926,940,062,987,833,985,377,716,051,186,710,502,668,
909,425,498,781,133,367,839,615,186,601,679,724,938,448,719,967,863,754,603,
201,510,700,433,025,082,826,448,583,353,677,883,881,704,917,106,777,553,437,
394,975,374,305,816,891,571,576,003,273,945,950,969,931,446,591,840,261,664,
535,476,707,374,208,764,781,051,126,680,233,680,378,151,104,735,883,970,932,
223,344,722,338,147,345,876,821,554,958,834,811,211,569,361,700,171,518,135,
145,283,859,597,753,462,610,389,005,556,588,994,395,523,231,609,088,177,353,
760,575,540,535,753,744,383,086,687,391,723,838,490,466,068,872,769,511,560,
569,056,883,106,290,199,464,164,152,378,514,636,034,124,395,064,658,694,913,
210,631,870,694,390,994,179,228,750,453,820,257,748,789,591,415,613,897,639,
258,377,559,202,170,713,044,643,794,694,084,102,553,797,565,343,085,864,437,
655,038,884,786,756,359,407,879,273,171,113,139,479,974,020,376,813,840,798,
786,977,753,488,844,118,009,506,195,829,642,308,744,128,042,561,333,278,772,
089,866,339,190,182,805,514,905,175,084,612,500,031,436,486,604,069,105,082,
056,842,940,077,357,224,198,886,197,264,713,059,027,746,844,907,066,688,411,
366,785,171,319,201,797,345,116,954,694,953,056,938,894,110,548,309,983,998,
604,355,292,356,048,241,345,335,914,402,889,316,940,271,234,150,877,071,779,
352,568,756,593,038,161,786,323,054,671,180,604,121,367,267,071,495,349,458,
691,363,720,748,749,042,917,675,410,535,646,539,405,440,257,317,735,068,144,
975,898,474,110,419,844,643,897,921,361,375,888,958,536,068,753,942,846,955,
626,668,629,890,153,385,081,723,403,288,240,231,987,508,844,709,602,979,226,
941,820,131,905,699,741,623,401,789,043,596,922,199,329,567,174,994,942,808,
607,358,433,936,294,179,560,216,719,057,723,882,288,879,876,079,518,971,082,
076,989,987,462,013,580,800,743,917,240,159,522,468,587,715,504,572,506,582,
417,720,885,166,530,947,773,147,174,141,938,277,473,643,168,684,948,275,115,
789,218,648,479,224,135,660,149,314,542,662,233,910,822,260,059,098,060,667,
356,516,521,226,538,662,106,115,727,623,304,774,516,749,047,013,233,528,254,
636,921,923,622,822,460,233,274,805,064,708,877,699,621,024,861,693,015,884,
915,780,372,821,731,147,702,215,007,579,122,132,968,087,708,335,207,977,748,
768,441,873,388,045,480,717,853,595,494,612,042,206,984,223,550,731,915,490,
242,550,901,392,410,763,827,867,195,409,602,042,304,735,053,432,652,094,707,
488,580,366,094,988,662,013,073,844,035,256,407,212,016,097,408,410,812,136,
028,067,964,357,796,108,108,123,480,705,355,981,344,278,597,026,765,091,008,
512,676,277,299,421,161,445,586,185,422,338,988,635,187,625,301,247,486,094,
569,982,624,387,527,087,515,555,218,659,568,820,236,525,781,523,527,842,237,
127,288,807,839,145,380,017,393,100,735,161,668,727,576,931,341,556,076,975,
199,499,461,812,347,774,238,664,197,580,370,351,896,876,481,740,408,154,783,
600,293,446,227,921,968,919,015,857,318,906,039,747,157,913,742,182,002,371,
015,032,141,668,429,789,862,009,095,154,381,721,769,646,439,384,063,406,406,
767,781,969,214,767,632,029,605,722,681,589,130,852,774,656,753,837,431,181,
195,103,076,279,779,877,508,495,143,416,429,791,562,771,254,929,367,534,281,
418,143,690,238,091,581,159,596,901,638,326,494,983,862,774,961,605,898,853,
294,498,321,158,081,599,879,878,421,478,694,138,564,445,811,014,725,790,683,
930,881,956,512,963,940,911,396,163,589,789,170,273,572,732,456,561,937,681,
132,597,887,831,122,862,666,964,948,135,240,975,034,157,090,894,855,703,119,
120,174,411,933,723,593,228,152,347,587,123,533,024,125,233,694,256,803,950,
442,728,534,705,536,217,693,151,637,845,769,761,230,245,387,131,624,409,648,
487,046,702,890,005,981,674,848,503,269,760,569,353,600,581,445,257,033,450,
469,031,261,064,299,828,824,888,579,110,444,410,247,665,146,137,972,371,556,
678,843,865,573,023,743,297,971,721,614,039,412,783,445,134,481,449,291,939,
683,100,455,893,544,224,258,798,053,114,988,728,811,488,108,383,395,456,573,
025,772,326,468,581,591,945,248,429,365,946,622,756,440,795,850,371,524,322,
252,899,364,752,858,253,955,060,030,704,825,363,741,957,588,194,388,321,024,
447,810,882,881,743,851,232,101,979,656,985,096,044,466,085,553,188,397,416,
473,644,812,684,996,370,734,505,957,972,598,654,268,812,720,877,164,113,951,
638,072,485,197,176,341,305,025,134,788,607,908,325,938,395,164,806,136,070,
773,838,371,093,120,700,046,371,844,930,732,634,440,313,729,694,832,556,265,
733,190,906,545,930,020,302,581,403,494,078,864,093,808,418,905,710,870,021,
144,134,984,320,461,248,665,453,532,624,543,128,472,875,415,841,150,359,002,
721,572,930,668,033,981,857,393,521,694,080,787,544,383,920,909,222,310,742,
437,324,824,664,250,916,380,819,059,529,093,876,409,306,718,903,675,366,697,
563,912,148,912,735,552,241,613,560,605,619,598,593,313,518,109,545,196,551,
063,095,420,392,054,409,873,218,866,842,431,059,918,546,688,622,489,637,818,
985,209,692,249,843,668,328,496,296,258,465,968,616,285,700,122,822,549,498,
667,580,979,112,303,825,798,482,565,583,172,627,460,810,985,916,298,506,961,
088,993,756,647,779,266,827,559,514,894,445,893,794,259,773,088,300,665,538,
590,158,926,236,340,944,107,074,360,193,694,868,538,676,195,055,459,518,801,
891,166,998,952,302,247,232,087,259,318,169,299,721,988,015,816,854,674,109,
566,119,998,060,749,543,264,513,722,334,846,857,359,148,782,734,718,699,118,
311,235,794,090,410,334,070,703,975,266,373,174,154,719,985,077,586,089,834,
092,338,386,685,676,570,588,027,948,594,312,362,950,570,049,857,052,818,549,
804,599,578,390,857,658,074,583,579,715,386,883,302,244,124,971,643,076,358,
878,658,780,276,777,443,959,959,317,920,962,190,494,972,911,645,169,108,995,
834,887,512,057,117,456,074,723,238,840,740,098,133,798,077,838,248,544,721,
075,346,589,974,808,421,197,240,332,307,624,477,405,234,521,821,379,902,663,
641,173,858,195,397,381,850,354,653,773,097,493,118,925,637,703,198,012,868,
857,474,251,677,205,512,949,541,960,859,243,218,033,475,575,387,808,926,328,
397,984,014,883,615,698,096,202,755,110,620,398,188,868,882,173,065,634,214,
133,693,084,070,175,662,075,444,199,294,922,890,233,520,646,663,092,819,793,
393,444,280,514,137,168,271,959,283,976,762,630,845,146,356,021,256,138,940,
056,098,982,733,387,974,952,456,711,071,481,038,072,875,724,789,605,992,909,
120,912,431,378,305,846,967,359,429,519,866,724,895,463,079,664,823,270,084,
863,498,370,946,346,742,153,487,195,818,843,104,098,250,147,419,288,571,865,
455,598,086,005,734,506,827,671,885,741,990,629,408,514,744,572,440,706,442,
908,042,446,188,126,351,912,885,501,296,441,115,790,097,281,400,309,449,091,
441,242,289,785,818,374,942,087,122,201,716,138,645,710,061,636,479,417,998,
966,162,057,601,357,484,449,589,021,477,617,716,302,366,773,745,181,700,150,
857,613,676,142,615,910,202,873,230,123,483,222,245,104,703,484,216,081,596,
317,557,407,993,355,194,987,996,363,085,045,821,761,366,910,448,284,829,123,
993,997,316,951,128,817,809,025,905,099,210,806,021,059,356,127,737,913,161,
482,772,031,485,965,715,646,694,190,046,665,673,472,524,253,513,152,114,117,
474,868,844,137,213,538,312,865,777,764,512,767,730,821,938,574,578,790,084,
680,395,537,032,760,948,639,017,387,640,527,493,897,049,694,719,236,669,076,
321,574,157,392,652,426,790,130,778,887,947,778,626,024,957,811,653,376,533,
046,540,335,841,485,972,202,880,633,668,539,875,763,366,458,996,242,014,650,
876,675,833,506,292,757,773,821,498,042,868,512,890,989,332,364,302,343,440,
410,699,949,400,555,500,590,256,469,530,217,342,486,135,455,373,567,268,216,
439,694,469,454,461,327,502,320,226,472,916,104,394,298,836,137,711,407,102,
726,374,385,932,235,305,181,737,424,739,045,261,051,475,058,777,959,477,838,
025,039,731,950,390,221,031,310,676,667,052,869,643,139,884,380,016,143,459,
612,415,368,872,958,077,093,574,907,382,043,603,650,787,843,915,339,587,190,
036,513,868,161,308,773,875,548,332,661,909,334,529,236,063,162,856,189,962,
409,137,935,830,322,864,235,400,657,750,688,359,501,812,169,826,797,070,362,
952,313,736,660,375,603,239,079,642,084,521,295,380,650,522,079,738,313,629,
653,271,555,034,989,381,664,513,376,893,747,364,691,769,060,268,165,922,803,
428,746,101,324,050,468,877,593,071,769,591,369,986,523,351,951,930,374,151,
879,482,183,450,070,105,593,391,102,504,144,211,717,614,120,197,358,986,390,
480,266,489,961,198,617,284,887,821,451,650,618,518,419,862,539,328,257,091,
729,377,785,257,063,260,839,708,954,211,625,542,634,706,151,646,270,852,035,
228,239,738,088,625,940,293,399,634,738,176,844,662,138,046,267,746,370,777,
163,045,240,704,191,879,817,455,731,152,930,108,931,118,943,028,253,503,595,
604,951,303,765,171,093,550,442,006,874,006,839,577,869,810,438,681,928,910,
278,272,997,259,630,490,284,988,702,525,853,326,039,948,491,315,257,572,955,
684,995,667,766,965,996,864,298,716,978,308,742,274,482,431,081,723,122,298,
834,533,119,467,224,383,015,751,968,176,808,996,283,857,766,969,755,649,111,
067,714,369,287,337,873,851,613,729,707,111,234,134,009,417,969,047,342,523,
349,187,633,078,007,482,905,589,583,521,482,333,617,282,873,339,976,509,976,
887,992,218,028,463,221,075,085,930,652,395,734,174,525,237,287,779,928,409,
524,443,336,832,438,357,404,520,901,307,683,209,034,067,224,005,347,833,511,
311,207,217,343,602,041,783,531,669,224,791,519,903,855,963,458,944,330,253,
997,022,024,242,620,719,977,279,443,860,517,921,233,627,786,154,154,757,441,
001,125,578,814,437,043,398,620,394,282,026,521,147,258,523,181,521,302,792,
836,953,773,952,350,570,522,486,846,617,996,147,613,414,158,502,069,478,838,
353,805,726,137,883,204,460,268,476,790,317,974,974,934,210,500,889,028,794,
069,548,773,498,788,340,950,378,308,422,444,359,198,956,022,529,039,530,570,
427,410,590,480,555,484,456,280,875,785,354,703,585,901,660,554,641,216,910,
706,750,899,974,680,473,448,382,311,137,218,186,423,825,560,137,311,288,504,
774,061,518,702,874,688,824,918,098,072,579,221,522,855,822,260,608,112,195,
987,971,870,660,803,397,785,271,026,957,044,743,014,771,118,614,903,634,517,
649,073,813,787,501,046,580,400,545,366,688,732,319,918,388,964,743,616,654,
342,414,184,913,287,846,564,229,746,969,536,623,590,733,451,502,093,086,024,
757,432,554,025,000,930,499,915,655,756,350,373,152,236,437,930,061,252,439,
492,071,873,648,241,400,264,758,519,237,479,764,551,313,069,062,586,234,259,
476,540,363,291,485,487,326,428,689,424,910,300,342,048,358,151,631,456,502,
311,170,408,298,455,997,834,302,275,956,122,580,277,570,826,094,479,471,066,
107,053,464,935,306,979,528,484,177,671,888,506,280,431,327,546,087,695,489,
696,446,245,362,240,083,014,842,761,843,865,865,517,713,791,656,688,208,576,
975,124,048,485,811,757,417,347,639,303,385,122,392,174,326,346,812,351,080,
380,345,413,517,262,451,483,899,087,733,522,153,842,296,881,530,595,947,457,
111,972,814,002,156,972,696,745,601,166,087,586,951,519,523,044,806,920,363,
852,414,038,027,977,541,316,935,232,147,032,587,717,426,252,794,255,704,011,
467,823,300,964,225,254,284,795,452,692,516,207,794,553,201,851,328,516,885,
951,739,354,531,183,751,256,218,091,473,004,114,613,241,130,173,411,276,719,
348,690,571,897,168,421,651,816,742,947,585,701,774,071,261,276,361,140,566,
636,172,753,589,025,338,699,424,028,841,511,753,099,874,001,210,351,344,999,
532,858,341,674,832,539,440,304,111,950,937,226,804,952,450,940,387,028,951,
619,170,532,045,577,844,146,207,110,412,007,361,442,936,575,403,215,476,331,
395,314,839,449,927,694,614,504,908,857,079,137,257,942,324,313,024,626,331,
150,030,757,696,619,487,771,255,524,406,608,227,860,977,615,799,814,957,536,
792,826,230,788,157,813,875,791,050,142,810,693,770,663,239,861,775,347,573,
338,874,412,395,361,859,672,540,233,970,807,253,135,560,544,718,423,986,861,
844,392,168,005,191,989,129,254,650,389,920,137,882,086,321,420,790,743,222,
023,871,353,291,844,948,483,683,329,587,065,159,376,156,266,087,072,854,842,
466,278,247,574,481,889,804,785,863,782,388,518,734,138,868,690,043,743,234,
696,213,005,518,382,697,455,543,222,042,296,766,917,496,892,085,922,418,164,
465,872,323,221,601,820,124,771,421,433,500,799,702,992,932,031,897,873,835,
789,128,207,742,778,577,477,773,644,260,948,693,058,466,865,570,092,243,291,
244,602,217,931,751,363,555,238,146,782,142,473,516,871,099,847,158,202,416,
706,685,856,058,269,006,330,960,637,493,439,637,577,946,747,960,287,927,565,
889,927,191,067,026,902,367,843,534,732,271,613,250,199,208,763,442,194,045,
132,882,209,783,347,520,454,114,629,220,414,650,255,557,090,801,407,720,829,
005,696,065,116,405,161,498,777,882,583,700,901,675,882,588,178,020,608,900,
642,970,603,058,695,518,568,713,302,638,686,693,140,318,367,541,137,078,017,
042,121,713,418,722,201,175,878,991,268,594,762,355,766,238,828,028,879,672,
988,745,255,276,093,108,368,168,688,599,473,758,516,107,900,158,129,144,865,
774,716,191,664,221,731,336,475,943,597,581,789,355,523,959,246,703,282,121,
187,941,270,075,780,043,796,302,759,493,955,334,837,941,719,035,949,525,020,
921,481,726,902,852,928,514,806,869,901,763,663,211,239,723,388,361,879,193,
625,333,267,713,098,245,488,533,406,908,744,589,152,932,039,527,536,364,149,
786,172,430,160,991,640,062,829,459,736,682,012,559,273,176,796,680,341,140,
069,962,145,008,982,483,224,115,728,595,944,751,247,232,154,725,454,659,519,
962,854,483,150,550,785,437,786,320,911,642,806,499,527,672,256,438,785,982,
324,593,259,179,737,367,497,845,499,029,338,009,885,569,488,353,187,365,990,
437,918,911,832,507,351,459,404,727,763,459,372,560,054,522,884,632,161,171,
480,994,047,395,968,171,460,534,408,114,415,561,227,911,794,108,190,672,348,
876,944,975,672,469,071,783,894,929,076,832,607,288,919,275,403,895,308,600,
944,105,870,497,628,559,633,973,010,109,387,428,991,625,135,094,754,299,297,
247,043,769,589,903,954,164,292,230,142,772,700,843,245,618,487,681,123,313,
109,246,851,050,960,564,753,373,354,470,772,201,317,743,032,952,676,945,976,
206,298,398,631,555,130,553,804,478,366,204,002,286,796,526,176,551,061,806,
318,621,693,859,265,208,579,658,749,967,199,757,414,830,467,798,203,224,936,
323,272,835,852,647,252,352,713,790,159,115,612,006,950,300,377,712,068,493,
359,842,752,283,004,824,852,424,279,454,419,538,403,390,252,199,782,074,072,
812,216,307,786,677,354,929,489,150,832,150,249,948,843,380,049,166,157,046,
735,861,715,333,515,897,107,599,724,428,098,427,256,234,613,670,093,753,366,
231,880,434,958,747,095,847,311,009,176,792,760,600,486,759,344,123,061,134,
209,761,369,996,368,829,994,117,617,299,301,628,982,750,952,603,751,524,091,
845,596,962,471,319,544,931,457,878,936,071,693,292,289,409,211,705,964,652,
645,912,272,949,909,921,094,434,715,932,682,780,730,570,461,453,531,843,239,
731,004,195,566,174,831,688,646,038,384,995,224,952,660,284,232,769,810,165,
061,179,661,799,674,070,938,582,442,240,529,028,893,065,106,457,207,362,936,
898,096,980,041,290,883,721,964,946,469,362,813,204,649,364,048,959,698,075,
723,490,418,523,616,584,545,144,799,210,755,258,639,714,250,489,984,554,292,
408,860,072,336,054,383,893,469,486,245,567,376,390,475,585,949,923,794,054,
700,471,547,941,157,712,504,402,603,472,536,410,194,574,298,549,757,611,142,
859,026,514,112,446,151,243,111,196,437,516,870,320,126,230,413,765,042,384,
028,702,858,511,954,851,932,158,937,524,892,473,357,540,166,731,838,605,618,
271,523,571,146,468,253,276,651,957,917,674,313,738,379,550,790,214,756,428,
321,257,454,752,015,648,444,849,149,244,916,717,545,204,247,201,617,190,190,
025,333,347,524,522,910,811,149,827,124,576,805,016,195,680,434,022,535,448,
081,119,811,432,214,056,416,881,125,880,861,513,871,223,847,780,853,817,480,
945,990,949,031,468,213,393,129,204,575,751,387,227,152,721,475,528,335,225,
615,025,050,627,715,305,945,581,376,153,874,397,731,351,783,850,663,731,622,
307,932,920,427,774,746,666,464,728,494,350,306,213,222,799,333,593,420,626,
209,819,181,476,681,858,942,487,999,260,422,947,732,840,753,696,948,120,843,
389,855,712,096,942,825,650,885,171,508,344,525,438,719,437,504,239,893,491,
522,645,680,680,692,018,824,796,439,150,868,897,772,131,678,952,465,328,005,
594,470,619,775,253,141,199,536,980,019,231,019,287,869,379,291,310,055,843,
473,080,468,069,447,210,242,443,697,411,477,217,397,387,994,268,317,206,296,
315,068,082,549,483,277,777,479,817,341,181,019,903,282,756,740,689,827,480,
494,460,408,627,387,740,061,663,780,511,654,338,938,596,010,459,761,781,590,
124,357,254,673,251,210,460,616,105,993,691,316,461,048,413,337,929,760,113,
351,226,066,658,568,931,267,228,614,341,093,015,939,139,708,941,695,712,893,
800,897,966,424,163,557,117,489,278,848,529,304,528,376,512,188,031,004,160,
333,642,493,791,239,283,071,539,647,919,523,763,452,281,307,344,098,310,316,
324,088,702,362,857,537,049,176,851,034,653,642,359,545,689,617,327,963,549,
825,170,384,821,896,074,690,656,561,221,336,745,041,462,134,829,203,036,048,
651,102,200,743,011,242,927,816,646,206,155,563,336,251,733,989,610,489,529,
271,293,797,608,053,123,768,814,160,893,339,346,723,530,958,863,011,960,954,
533,297,212,750,459,604,708,923,547,456,277,315,962,383,410,623,495,158,300,
197,413,673,106,561,278,578,747,539,165,057,483,193,472,834,066,005,139,119,
658,709,862,869,468,414,897,788,102,807,590,299,813,622,860,171,960,645,512,
920,250,197,237,103,182,806,726,848,823,181,763,112,060,952,380,941,909,047,
695,479,935,677,262,729,333,551,126,418,543,678,222,053,062,820,201,503,456,
105,600,425,319,663,307,594,479,745,598,513,758,619,123,188,088,046,970,581,
470,265,401,351,097,071,638,387,587,409,060,425,580,102,874,259,027,711,036,
763,554,832,467,863,260,963,224,605,328,904,673,488,601,976,697,033,202,652,
906,056,399,568,920,322,159,430,444,061,691,360,268,838,116,910,283,207,979,
482,569,508,097,480,047,351,078,700,110,411,004,059,058,586,230,754,842,647,
928,569,478,431,699,485,282,619,020,259,795,636,465,035,961,412,741,780,298,
637,470,612,500,219,595,111,269,512,168,739,786,409,982,912,303,734,762,713,
335,441,518,404,682,901,753,396,628,973,648,805,719,711,086,523,952,699,525,
959,366,960,980,448,399,863,779,410,772,896,268,539,297,969,547,460,373,309,
694,675,797,324,909,581,178,596,755,035,451,928,390,439,733,685,441,119,190,
701,842,538,193,176,602,650,067,150,122,490,568,820,404,242,422,743,502,671,
868,964,461,083,362,752,924,439,916,768,792,537,632,114,423,404,535,591,345,
184,445,562,578,626,060,291,353,083,716,458,922,807,883,992,884,039,662,436,
705,943,075,009,849,430,988,511,630,599,511,422,706,325,623,484,430,108,570,
484,800,201,483,746,543,405,376,123,560,232,872,610,062,160,616,956,377,989,
195,335,133,846,960,142,598,161,814,079,503,899,905,414,367,933,191,487,417,
764,633,569,979,342,167,773,397,623,559,303,861,083,480,936,678,229,525,982,
994,893,355,499,125,943,829,269,860,723,396,560,873,487,030,666,460,841,580,
440,959,211,804,151,476,845,129,284,713,820,422,134,546,795,581,070,446,158,
131,710,699,883,976,303,268,825,664,764,392,756,142,717,237,000,962,076,624,
348,263,709,083,875,619,843,830,906,814,589,346,976,505,916,309,761,357,961,
043,827,502,511,628,931,730,664,500,598,444,323,679,980,064,713,393,443,217,
402,638,707,923,398,314,682,319,563,496,692,153,159,316,120,153,840,243,923,
516,448,603,839,170,161,729,863,417,864,574,922,063,308,643,641,685,412,935,
265,228,265,661,186,758,186,617,287,591,734,066,296,643,097,655,323,496,174,
104,194,941,665,158,357,960,941,745,250,771,991,792,422,286,033,892,116,542,
371,877,287,970,676,896,701,637,653,052,430,401,323,399,161,188,727,542,082,
159,677,886,535,124,423,226,390,336,528,465,107,931,971,264,436,008,373,687,
562,851,539,353,881,978,038,312,468,785,178,375,305,772,807,941,119,345,816,
688,096,746,849,189,696,265,549,153,387,969,933,200,948,525,545,015,761,158,
660,953,718,404,118,155,942,834,499,493,464,944,467,129,030,134,177,350,938,
281,531,171,976,997,433,283,631,125,485,134,714,429,976,340,087,718,017,083,
729,547,900,676,998,060,969,813,284,429,413,232,081,643,629,295,410,254,588,
432,382,083,562,894,235,870,231,716,950,390,126,836,956,783,383,352,346,769,
387,755,120,076,356,968,667,269,739,388,489,092,351,240,116,402,444,162,989,
660,557,813,278,236,149,816,121,000,648,053,725,256,143,440,374,638,140,435,
884,992,444,140,131,123,394,203,638,829,452,590,306,449,668,059,093,059,507,
041,290,009,247,949,837,693,588,707,931,928,451,600,307,163,185,680,111,423,
517,904,087,920,685,639,174,202,409,653,275,998,012,292,121,308,893,979,930,
836,817,806,615,671,104,312,399,688,888,571,827,002,130,761,051,333,168,509,
196,081,774,620,157,119,212,255,796,034,155,019,250,978,989,911,871,979,506,
138,092,932,514,165,360,557,994,839,086,073,547,990,847,793,480,953,224,754,
447,487,627,990,269,917,415,846,438,021,647,228,500,430,470,162,579,700,769,
920,247,417,133,560,454,564,437,524,114,236,601,467,318,165,576,156,954,122,
155,275,914,229,026,574,809,037,104,394,397,333,847,725,635,846,310,716,404,
178,513,909,056,070,312,319,383,949,744,998,507,911,533,320,863,545,681,577,
778,209,911,164,241,103,067,021,736,507,925,837,268,981,480,637,719,065,126,
912,578,591,584,725,639,197,406,243,837,422,933,708,715,846,838,613,815,062,
068,277,838,517,281,903,954,491,008,310,478,097,110,764,701,227,286,451,108,
694,094,851,941,884,727,808,759,997,313,253,351,204,301,514,075,254,142,155,
251,215,043,101,573,013,072,141,502,544,130,673,549,997,071,611,605,676,644,
708,943,741,385,640,844,206,721,682,765,696,754,971,400,340,052,718,520,058,
405,519,068,731,618,767,734,539,410,965,911,154,600,603,697,997,629,632,879,
245,451,847,689,997,188,875,327,154,516,274,635,504,526,966,887,908,017,733,
986,465,723,276,866,835,708,984,906,750,509,947,099,092,836,437,819,091,619,
337,280,270,188,995,408,183,845,236,540,177,443,767,161,978,753,973,142,816,
561,312,382,993,732,589,312,317,396,903,453,054,224,409,942,534,843,860,363,
303,776,444,293,522,839,816,323,521,157,184,469,489,211,781,924,263,955,423,
843,769,582,612,345,929,919,205,446,338,451,185,589,028,658,221,763,813,546,
484,652,882,306,141,831,643,347,568,932,706,371,655,438,155,765,939,175,391,
942,821,768,422,029,159,576,071,562,639,186,933,658,981,104,915,931,928,784,
028,561,472,713,670,312,191,393,761,414,219,111,614,018,865,530,414,727,760,
302,243,113,815,145,051,998,808,520,281,518,078,244,801,307,091,158,323,658,
649,305,778,517,183,260,761,122,667,623,289,064,524,925,509,570,737,190,853,
592,498,083,817,810,312,198,691,616,034,883,218,354,302,366,826,376,805,224,
604,562,800,866,434,870,124,697,785,430,246,657,716,685,535,832,314,775,861,
667,502,226,155,834,768,507,477,700,341,609,590,502,751,829,222,859,572,391,
242,025,010,504,104,610,880,302,479,059,752,958,732,224,128,431,667,235,541,
564,021,771,057,144,823,404,874,723,421,858,473,381,662,437,370,741,032,338,
987,917,696,167,564,108,743,634,837,309,164,972,406,823,997,033,852,357,616,
022,439,622,236,359,532,021,505,516,568,320,777,741,141,437,357,423,061,417,
552,414,970,897,392,370,427,720,496,118,621,628,859,803,869,647,032,276,042,
805,563,284,805,234,471,277,256,440,146,819,194,400,067,039,392,432,713,090,
407,508,568,002,169,008,660,086,831,947,668,837,486,889,551,012,737,662,736,
435,068,776,947,203,543,215,320,716,589,189,637,434,892,412,951,510,478,870,
775,028,078,200,926,797,095,814,890,762,937,352,519,595,793,104,746,176,988,
415,151,000,445,052,930,047,867,001,069,045,462,467,816,021,200,626,466,083,
233,302,221,138,833,815,392,610,896,167,708,998,889,090,966,964,639,923,574,
387,950,121,664,728,829,298,236,248,300,941,043,320,503,218,611,617,314,626,
288,345,095,082,561,834,100,596,909,223,799,170,566,633,813,238,682,733,607,
951,171,630,484,815,651,995,796,070,830,095,993,181,083,932,668,139,938,038,
862,564,498,218,429,993,790,740,835,155,859,312,055,560,670,139,634,149,616,
027,067,871,208,748,445,566,329,270,373,382,836,633,407,483,195,940,823,951,
664,534,170,150,036,387,534,338,722,439,466,812,026,659,544,408,280,520,243,
111,647,249,603,879,659,811,613,332,244,928,753,919,429,974,318,327,325,510,
413,589,860,138,509,550,605,040,672,968,170,947,835,880,320,474,090,911,606,
303,311,306,431,044,800,343,630,607,699,342,654,379,058,224,142,875,218,861,
741,831,475,182,686,589,091,899,967,109,412,254,476,419,896,800,351,396,424,
557,209,328,227,555,984,160,819,595,851,644,173,338,833,937,863,631,419,236,
424,158,400,183,222,719,350,984,254,124,374,510,125,014,506,944,635,829,319,
185,203,882,337,881,368,385,458,293,919,779,855,086,919,223,879,640,791,087,
771,731,908,063,462,078,437,999,432,498,514,929,630,170,814,416,241,766,897,
939,440,274,865,517,903,509,431,054,884,890,802,483,632,126,161,960,279,626,
548,212,011,457,423,419,439,270,946,584,993,234,279,377,646,920,320,389,588,
457,015,021,797,987,982,690,688,167,371,745,196,150,363,713,932,737,294,120,
979,417,523,035,497,293,992,237,979,815,870,348,194,211,773,965,503,023,792,
919,224,433,247,898,562,432,430,443,690,815,520,534,238,415,513,987,672,666,
591,591,561,170,087,083,914,083,471,739,519,832,371,882,721,679,015,453,771,
434,240,693,004,178,495,931,621,631,533,064,206,910,779,309,067,928,180,740,
576,561,843,113,967,387,917,709,669,580,043,602,790,429,159,419,031,972,671,
762,991,852,519,276,774,671,668,608,613,587,726,283,878,573,000,182,955,836,
139,762,966,622,150,947,143,003,249,566,361,628,055,135,038,022,980,509,919,
419,939,369,587,505,739,817,761,922,015,649,884,311,195,737,058,712,988,627,
146,504,006,757,262,364,571,611,393,235,496,697,027,658,840,046,936,463,791,
028,508,554,616,198,152,462,060,675,914,627,404,098,757,244,271,317,275,784,
700,586,354,801,793,913,170,732,619,890,340,884,650,242,367,223,314,097,382,
741,654,136,904,256,760,601,735,128,753,860,076,197,593,492,847,067,763,246,
005,506,824,085,583,349,171,163,121,418,947,667,026,501,565,025,370,681,216,
054,431,319,931,611,766,852,244,067,978,400,092,254,020,930,312,780,117,462,
347,421,554,044,995,633,070,919,338,374,281,984,398,899,905,176,072,724,946,
855,264,181,178,304,679,999,506,471,122,900,508,327,431,536,112,192,349,914,
360,893,162,781,976,015,010,436,485,769,867,143,295,155,838,799,315,859,525,
594,693,731,262,529,842,816,388,047,197,105,374,723,767,343,319,659,845,713,
780,078,440,994,365,744,159,884,105,281,893,520,662,627,686,453,479,001,440,
728,719,259,010,914,500,501,099,386,206,114,054,109,310,792,927,934,488,537,
454,624,610,837,813,730,725,034,936,993,356,028,250,759,281,055,964,375,502,
342,419,107,008,090,117,777,193,539,870,733,104,242,952,542,726,515,724,187,
556,748,920,056,798,727,014,115,110,990,633,552,930,043,934,833,212,765,387,
770,680,746,413,392,105,990,440,817,511,040,276,245,902,592,768,500,545,749,
356,702,442,191,266,230,342,960,332,548,671,422,751,635,969,461,947,677,078,
747,079,908,325,697,210,690,580,779,707,280,815,531,702,284,329,407,298,738,
434,235,119,287,312,471,030,073,667,539,049,100,199,177,901,940,716,600,943,
787,085,626,252,177,420,565,746,358,921,958,780,311,688,264,318,976,665,183,
579,714,039,353,430,121,375,035,896,943,068,237,737,091,859,353,868,397,253,
357,905,717,980,292,262,685,152,147,229,894,289,192,885,319,597,175,589,585,
920,363,182,764,612,716,150,302,224,776,170,381,080,868,171,147,775,055,565,
538,497,843,657,210,207,247,076,500,650,000,916,940,988,334,334,414,753,352,
398,323,623,962,369,474,189,448,159,211,683,332,534,532,708,388,982,836,306,
528,600,660,076,862,972,802,241,105,007,029,072,795,643,986,816,061,861,862,
907,238,799,783,909,367,067,759,571,158,819,715,723,861,582,872,647,755,666,
603,494,680,483,126,983,383,624,760,808,562,031,710,875,365,538,661,743,755,
889,828,634,937,533,092,572,180,899,341,097,777,390,747,572,621,941,506,109,
766,769,563,476,497,849,875,064,200,383,289,893,917,797,507,409,722,215,181,
895,490,709,082,215,890,850,097,161,088,227,981,443,648,067,893,979,999,928,
954,881,216,628,733,526,099,147,995,982,307,826,334,742,071,908,115,495,776,
489,017,436,237,566,337,640,347,653,843,320,867,970,413,348,638,257,637,364,
543,587,830,188,268,749,347,364,976,365,905,680,322,850,875,670,806,481,722,
361,542,020,651,463,846,489,018,241,037,949,243,675,115,840,377,850,556,653,
038,846,078,144,730,769,771,109,837,534,489,661,756,948,346,682,922,372,588,
341,277,805,285,633,299,682,474,072,535,096,683,280,514,156,924,858,215,751,
379,606,735,865,405,213,270,322,386,798,444,172,496,318,051,629,229,537,733,
828,873,905,533,602,168,249,187,067,131,604,954,564,708,417,355,394,669,206,
800,835,295,753,039,634,243,759,047,591,707,051,133,124,997,596,030,797,325,
993,471,812,330,485,962,761,958,193,916,927,976,249,145,168,126,373,126,647,
112,974,704,571,229,684,381,098,303,852,764,791,113,934,279,561,505,346,808,
648,372,305,153,863,043,050,210,251,616,682,504,663,662,927,293,096,510,676,
299,374,182,767,888,009,729,037,876,142,446,728,423,901,871,360,553,985,147,
879,278,341,678,939,810,374,409,643,743,889,958,745,723,449,710,877,399,183,
136,176,082,013,727,049,386,514,513,091,226,173,270,527,970,692,462,192,896,
086,024,797,298,659,721,094,618,532,890,055,128,606,407,028,818,393,085,908,
453,149,984,330,642,169,405,960,310,156,376,733,892,824,292,911,973,200,715,
475,912,151,012,269,533,401,743,967,591,843,166,560,362,969,145,447,262,864,
307,351,595,393,422,818,405,906,822,015,193,289,924,693,576,946,456,913,453,
953,813,337,056,739,918,531,711,999,316,767,930,905,349,159,980,199,095,943,
919,904,419,541,235,347,066,793,184,393,072,926,093,133,965,257,025,151,974,
027,143,738,433,682,680,058,103,183,793,757,000,943,792,358,316,682,140,025,
862,339,301,013,258,438,908,517,487,087,414,637,029,834,013,098,018,620,178,
679,163,922,490,941,260,929,271,716,445,687,423,718,571,944,293,785,910,817,
062,500,911,832,657,751,117,553,039,981,773,904,054,802,228,614,268,786,989,
990,768,618,801,349,380,975,966,147,945,643,405,300,669,619,153,353,561,502,
703,642,028,413,788,125,549,014,503,695,731,836,825,283,037,784,097,469,643,
165,651,989,791,018,811,260,916,577,397,842,417,396,859,355,253,817,581,271,
012,978,189,801,188,104,048,625,372,233,438,672,542,802,561,618,673,328,424,
871,235,929,195,333,305,591,391,668,937,370,907,285,193,570,264,218,397,220,
865,638,553,646,499,710,715,531,185,983,427,104,770,445,263,336,584,506,275,
880,874,529,608,444,249,790,436,787,460,912,967,988,305,766,455,518,665,115,
620,245,669,485,893,818,879,867,514,524,996,588,735,675,781,985,796,914,225,
022,284,292,374,922,610,991,605,350,154,189,213,474,180,713,718,855,502,035,
771,938,815,223,342,332,461,848,876,389,145,576,515,979,400,151,099,393,127,
622,667,888,658,542,545,279,916,236,296,328,057,505,491,810,823,803,496,411,
544,485,757,552,943,882,314,241,902,429,790,916,939,955,590,561,321,048,931,
901,927,244,609,094,583,391,715,923,024,842,985,104,824,581,825,409,569,903,
829,146,756,951,855,177,318,152,589,255,203,484,386,308,201,826,159,118,002,
207,412,708,974,832,466,020,974,700,041,226,962,687,638,266,060,936,678,852,
238,261,074,760,837,117,266,457,439,438,695,153,690,146,963,255,073,494,355,
896,362,283,899,729,459,884,570,231,209,390,747,711,625,167,930,994,766,810,
755,671,438,188,735,025,367,298,915,071,754,832,377,258,317,596,967,463,694,
040,987,164,110,216,374,401,505,381,918,211,477,227,892,643,488,185,605,892,
921,230,581,750,485,300,757,881,361,520,703,942,835,207,949,818,588,584,180,
828,229,708,763,734,477,608,443,889,696,989,930,607,814,321,623,907,782,432,
700,385,360,704,116,023,045,747,679,400,010,592,526,871,911,124,136,708,581,
377,980,796,881,982,821,732,309,180,930,737,925,913,553,837,499,506,961,925,
703,863,850,598,543,987,985,827,678,296,346,242,090,192,123,035,707,939,757,
360,429,003,161,868,088,982,770,464,460,035,307,909,810,410,770,019,614,133,
029,976,483,415,047,662,798,112,485,520,320,366,626,132,158,491,625,356,334,
579,064,570,220,958,511,803,872,360,953,435,105,253,284,737,706,726,785,844,
111,070,162,133,775,211,252,993,239,302,708,705,054,290,479,198,376,752,661,
754,081,685,849,424,201,918,521,225,269,207,988,293,592,729,034,383,188,568,
721,576,728,554,752,730,526,459,631,849,360,972,326,530,304,608,939,025,273,
273,935,861,665,354,628,109,031,051,179,439,020,114,582,505,838,747,902,206,
954,383,130,872,169,213,770,854,938,207,866,093,128,554,650,739,438,998,625,
591,320,685,858,442,943,809,834,016,538,294,902,169,825,984,935,422,391,173,
077,659,380,148,461,389,259,544,712,322,099,013,810,338,754,193,353,272,564,
988,567,331,980,336,576,844,870,754,313,594,592,212,018,723,443,374,072,486,
660,082,761,787,112,299,414,069,986,052,232,806,433,458,524,278,976,651,274,
900,377,119,610,915,889,949,123,466,839,524,039,760,089,126,071,352,190,138,
558,830,550,357,728,345,923,654,178,506,553,926,358,217,618,174,977,226,066,
066,700,097,855,104,564,257,051,895,250,498,357,056,814,582,737,481,931,026,
232,893,742,056,099,484,596,681,411,099,647,541,872,541,589,022,222,722,149,
966,716,376,229,660,394,199,781,487,136,878,457,546,931,777,611,387,441,624,
524,314,861,638,381,840,841,348,752,363,528,004,232,223,180,369,159,629,663,
413,619,504,040,673,805,069,808,033,689,461,792,894,268,831,178,551,438,465,
156,706,882,799,085,143,461,968,744,346,182,985,332,170,960,293,220,416,527,
202,574,784,502,632,938,851,367,225,295,851,321,856,506,319,868,513,681,735,
193,497,881,985,393,853,822,586,630,513,369,712,884,944,349,918,979,692,532,
085,552,524,134,991,969,164,117,675,871,789,003,896,130,037,231,220,315,708,
489,834,875,671,254,107,674,635,979,347,874,325,738,847,552,186,254,332,009,
445,194,962,116,225,807,425,016,166,692,060,147,590,130,960,184,118,683,573,
131,732,417,085,495,774,359,680,713,995,783,898,220,540,163,149,806,187,230,
271,718,042,984,426,379,971,120,475,199,144,552,498,280,280,578,377,625,943,
615,144,074,299,265,036,364,257,412,972,357,025,162,779,149,543,607,232,292,
614,838,725,426,786,614,769,776,324,438,312,102,785,683,661,777,293,706,935,
917,368,576,768,942,972,878,630,642,417,357,543,419,217,150,383,799,081,347,
383,004,861,006,998,951,478,066,982,574,690,271,997,159,334,118,450,245,594,
450,592,245,078,178,871,552,023,524,801,772,726,570,240,913,749,886,899,592,
027,247,667,563,908,856,175,101,605,476,700,400,599,176,000,860,674,366,819,
898,321,659,023,986,622,350,622,196,172,061,203,015,008,846,818,820,990,919,
751,455,342,657,797,841,275,779,277,145,140,748,769,904,688,074,795,907,893,
740,183,450,759,296,636,204,813,725,037,925,572,516,606,975,449,856,805,279,
899,789,916,625,120,017,466,050,941,583,078,254,621,261,866,558,925,653,183,
282,932,911,039,008,275,723,217,377,679,915,820,418,594,594,614,357,758,168,
681,424,707,299,133,188,293,952,397,412,420,623,609,275,194,783,854,660,624,
340,148,779,615,014,950,295,783,131,077,180,789,289,504,536,992,554,538,276,
577,974,598,548,892,290,225,630,381,498,104,737,709,664,206,041,804,829,746,
453,558,126,865,396,233,082,602,159,219,889,564,984,459,296,509,425,738,945,
791,815,825,260,334,394,115,874,407,511,005,598,308,412,652,246,395,830,608,
661,419,531,984,921,432,685,371,208,784,699,444,426,605,135,201,070,718,904,
628,687,661,324,185,155,025,518,107,546,058,403,119,374,236,018,601,178,862,
695,765,224,547,566,715,661,551,053,942,683,992,035,129,499,379,377,066,780,
981,630,188,901,778,789,487,023,226,259,481,217,709,889,672,386,906,318,923,
964,477,536,452,176,658,480,818,670,124,791,467,261,126,720,637,247,992,181,
133,815,379,202,144,815,479,561,110,183,836,935,991,343,671,487,003,217,716,
480,546,790,101,036,621,780,319,534,575,644,538,741,134,883,925,178,196,117,
721,672,080,445,598,269,504,097,767,445,973,311,040,462,430,951,526,042,022,
685,928,678,104,808,084,617,914,356,515,317,402,982,100,291,868,856,226,177,
822,323,103,711,487,230,602,895,076,754,297,168,909,611,581,219,258,793,164,
234,678,519,468,409,507,786,764,377,721,317,524,494,274,829,823,495,681,181,
965,335,286,783,654,906,190,590,295,766,148,635,881,207,458,161,173,992,187,
850,596,374,255,999,150,890,579,538,205,005,000,240,363,332,249,165,145,242,
997,919,732,406,554,568,265,768,682,405,912,805,277,974,012,183,067,656,692,
844,734,911,688,693,289,644,263,655,673,351,327,095,587,758,703,603,127,413,
182,473,740,827,558,537,786,163,422,040,512,363,368,849,606,190,629,276,220,
726,265,022,466,351,044,013,484,913,029,784,054,593,345,013,597,253,563,941,
340,947,137,415,356,798,350,642,161,761,145,740,755,954,836,275,189,222,971,
742,650,720,366,594,382,329,024,551,452,700,246,785,387,032,862,794,596,977,
408,564,388,972,307,579,767,585,649,269,252,920,572,281,537,234,664,720,336,
750,446,773,264,429,015,929,806,371,177,939,355,768,506,413,349,329,598,391,
935,320,898,043,673,440,047,764,362,609,299,271,595,808,306,173,300,767,232,
625,605,899,931,318,936,601,821,135,502,822,208,717,681,310,364,207,977,752,
500,917,782,670,646,490,063,052,769,595,094,483,824,348,173,958,484,591,015,
224,566,754,438,397,830,000,440,981,658,460,055,387,240,855,658,554,416,184,
512,241,559,325,434,332,547,927,768,256,990,066,872,903,987,221,393,931,645,
111,172,848,692,086,752,082,440,334,468,734,168,118,129,728,552,135,265,197,
059,275,825,946,025,147,940,357,001,710,126,916,112,889,993,407,936,441,646,
771,553,851,604,532,898,056,390,403,539,010,540,860,688,571,381,952,480,312,
599,630,225,139,989,998,988,876,722,685,706,166,750,535,328,284,487,214,290,
197,983,240,159,418,377,452,566,040,063,035,655,530,769,431,885,299,157,806,
160,375,491,929,557,129,550,067,572,396,587,250,506,179,889,835,164,895,835,
530,541,307,359,996,266,172,633,968,187,783,998,591,820,501,928,493,123,249,
401,888,282,676,448,801,394,346,397,181,190,697,651,597,009,475,625,962,921,
484,340,617,067,850,134,402,942,809,593,406,592,385,168,122,186,798,806,236,
908,803,525,478,317,529,211,674,415,267,191,228,822,019,899,515,295,084,567,
976,217,585,535,388,035,901,406,540,162,073,555,087,978,599,015,939,934,759,
760,446,459,512,600,714,487,629,680,954,391,413,803,135,827,604,864,314,422,
027,327,275,550,698,396,952,621,705,501,623,441,817,484,910,641,954,680,883,
877,433,526,935,128,430,397,918,462,960,767,757,823,745,391,798,156,309,422,
050,202,556,696,439,272,702,969,567,570,460,841,988,165,562,108,750,165,761,
171,044,720,876,179,435,601,821,255,753,695,903,874,815,472,626,048,211,859,
647,564,596,924,212,583,335,900,435,391,532,302,467,857,656,032,866,293,148,
983,624,897,218,827,100,311,336,229,090,386,117,172,927,919,318,248,617,406,
709,341,562,366,002,869,738,251,993,743,704,025,209,538,017,013,958,874,668,
584,115,184,881,406,735,173,460,125,590,066,647,319,408,355,803,921,271,738,
972,489,630,925,645,138,723,803,206,381,550,340,048,611,047,578,445,020,403,
313,573,869,577,228,597,220,553,620,940,121,951,386,698,960,335,120,707,025,
634,034,573,812,787,623,552,271,822,885,587,781,101,759,882,714,482,595,784,
851,781,203,247,809,189,897,726,207,300,815,928,986,375,397,671,624,233,418,
210,161,472,547,120,726,819,111,308,276,990,137,861,524,401,370,345,399,243,
676,249,943,188,784,233,467,732,612,574,568,075,218,062,702,037,784,941,926,
281,342,627,006,467,363,367,402,324,513,251,980,448,122,776,575,574,674,862,
486,579,826,591,241,156,067,989,360,245,177,590,486,831,775,215,679,859,631,
768,678,971,776,188,109,953,018,143,639,575,696,656,294,776,218,628,226,494,
004,233,360,999,711,129,946,107,690,510,574,849,844,268,504,535,057,045,516,
974,423,988,047,652,559,505,219,211,059,590,421,491,723,303,385,360,565,108,
211,453,619,285,183,452,548,480,979,302,956,883,174,769,865,229,495,323,107,
044,516,308,715,544,664,742,370,655,435,841,573,359,437,937,859,702,451,527,
000,338,631,588,138,289,409,405,973,452,856,484,628,092,166,647,040,978,333,
114,032,563,812,502,106,032,639,223,695,642,243,654,718,895,506,957,920,282,
191,398,826,121,847,726,857,838,150,523,708,806,360,001,716,514,532,135,517,
454,189,032,638,743,260,545,417,107,204,968,800,499,457,451,387,615,299,135,
343,205,937,903,220,541,663,555,661,559,043,225,639,251,731,238,804,796,826,
657,049,849,668,390,289,890,405,055,627,931,822,621,696,367,513,651,268,940,
290,483,567,038,301,148,885,463,877,432,225,236,803,176,558,417,298,188,442,
182,887,924,507,493,626,252,969,136,368,052,091,585,053,793,758,341,497,813,
168,318,415,240,330,209,949,855,899,353,208,127,914,976,761,810,580,652,842,
685,868,415,161,107,771,352,060,293,694,179,340,345,137,515,224,317,894,111,
995,413,308,536,022,024,524,378,646,274,793,001,459,162,080,174,968,231,969,
106,030,476,489,665,581,509,099,188,038,535,795,823,895,606,332,181,539,470,
736,413,975,817,896,975,680,372,066,494,430,130,471,058,413,666,729,322,480,
013,035,092,291,396,029,999,929,567,415,713,814,612,328,342,398,931,562,459,
389,087,017,262,205,234,515,464,778,078,413,036,056,069,776,283,082,612,397,
911,145,449,761,479,913,809,671,411,755,215,081,443,800,230,800,852,359,396,
065,235,778,940,223,304,015,857,033,444,973,317,234,217,978,410,938,459,755,
894,714,563,852,662,213,455,831,573,551,686,696,580,202,408,216,040,985,601,
459,339,309,239,065,708,421,683,817,707,899,611,190,681,002,249,696,241,221,
309,000,953,846,168,173,977,298,262,277,815,520,439,586,837,645,645,825,982,
171,764,264,415,670,834,373,691,271,838,935,619,982,440,959,836,959,376,726,
435,759,114,474,416,395,460,965,514,256,553,863,267,214,874,383,497,835,103,
694,824,091,583,828,335,480,516,603,667,628,675,684,514,889,249,257,414,958,
467,283,134,852,899,089,381,773,016,485,545,482,372,113,227,822,797,118,894,
606,948,574,481,198,131,141,214,104,553,919,267,977,757,337,182,003,006,562,
973,508,278,001,967,161,038,217,603,403,450,417,392,075,469,120,958,839,712,
124,175,522,161,277,296,192,645,932,780,911,668,098,409,575,982,682,419,647,
467,138,575,011,885,119,885,401,341,612,222,719,585,167,181,845,141,489,763,
550,492,896,981,795,368,082,384,428,303,283,450,143,121,430,033,895,983,368,
224,635,300,863,837,818,559,009,682,793,272,787,406,607,328,719,615,211,634,
314,428,475,290,618,572,869,815,536,534,969,354,899,188,808,123,040,243,015,
519,997,660,443,241,078,280,563,076,890,293,239,403,028,459,497,561,452,975,
471,129,280,006,226,023,533,374,795,770,961,183,629,933,297,498,777,057,885,
475,649,687,420,851,936,557,848,374,976,687,519,488,062,130,627,194,901,134,
654,576,407,551,186,653,993,900,643,236,757,519,571,659,117,338,900,531,706,
334,242,527,939,604,986,057,610,969,301,624,431,836,082,805,105,924,114,178,
125,694,662,464,852,669,183,269,206,915,406,259,991,096,955,074,707,396,230,
737,587,357,294,375,281,183,057,673,249,318,024,858,042,292,185,593,822,048,
821,217,761,115,881,159,207,993,376,787,776,600,388,722,012,211,748,911,798,
563,139,976,156,593,484,196,865,347,437,358,772,141,500,194,200,311,888,971,
982,452,681,647,423,079,893,744,861,343,561,985,896,247,690,945,359,659,044,
892,218,137,166,563,355,009,956,986,687,477,928,093,966,841,232,478,949,186,
964,692,001,208,012,201,181,460,113,359,927,358,714,725,944,801,199,788,050,
716,759,748,973,679,709,673,146,182,612,973,692,295,465,124,191,462,369,214,
896,707,571,381,421,606,832,474,823,699,204,578,208,755,505,418,196,073,283,
486,680,071,287,783,573,489,920,808,767,120,364,669,599,789,075,193,844,354,
165,212,773,977,633,235,784,381,046,370,684,906,049,192,697,128,615,019,664,
201,395,380,822,494,455,925,119,896,096,974,535,544,785,956,846,061,198,415,
420,553,982,943,395,891,603,033,498,903,690,786,437,832,311,370,928,954,138,
627,641,903,041,859,249,338,287,412,296,834,148,038,906,289,894,051,210,646,
997,648,375,874,185,874,381,707,190,705,341,384,607,014,175,611,230,260,547,
581,773,979,478,417,296,031,791,450,881,833,616,438,332,574,613,361,441,851,
299,104,826,376,117,223,807,101,412,126,922,670,404,999,304,735,742,633,604,
095,254,823,954,435,758,078,107,101,048,899,080,340,325,388,863,009,604,839,
862,227,501,957,519,646,003,824,151,740,966,614,282,014,410,285,329,802,103,
335,895,441,022,799,481,085,500,022,966,783,780,339,741,701,783,940,216,184,
518,585,420,554,909,411,370,114,886,363,800,023,567,015,122,379,458,676,136,
257,229,901,049,009,560,422,146,507,882,914,118,272,261,144,549,646,398,979,
353,227,574,524,478,455,154,098,048,420,825,495,642,596,214,719,616,921,856,
015,409,419,764,602,516,517,252,701,733,335,362,435,713,787,399,482,030,591,
039,977,235,647,066,797,745,307,148,720,201,038,226,903,251,431,100,869,683,
610,868,642,544,755,989,055,294,733,232,160,411,083,637,681,448,888,655,244,
452,993,712,435,963,374,364,192,803,928,932,888,754,902,718,467,268,911,134,
290,665,100,912,923,188,005,453,158,461,367,513,794,908,584,448,479,964,813,
057,703,128,403,928,454,745,641,004,749,008,341,055,405,730,503,619,166,583,
220,450,132,427,954,038,754,758,932,702,254,005,435,238,664,926,652,527,725,
136,855,246,890,180,026,711,718,221,512,720,922,822,805,188,660,586,022,385,
545,339,495,659,023,769,177,253,465,832,551,914,175,481,153,205,196,426,047,
948,624,928,606,195,284,228,495,964,197,183,405,917,759,667,877,955,927,373,
975,188,234,205,263,990,795,207,727,146,545,166,778,731,295,671,572,220,752,
453,689,055,439,314,981,109,554,594,824,393,024,457,863,193,677,799,583,454,
509,471,416,129,141,726,145,063,703,103,754,365,174,457,034,195,290,181,018,
421,913,985,715,488,445,209,087,960,420,010,604,913,619,979,128,066,573,718,
730,683,742,384,225,886,075,039,308,798,509,769,771,715,894,943,165,678,360,
563,843,414,641,311,092,141,665,125,256,956,338,933,583,910,002,590,242,147,
534,829,340,543,957,730,773,606,885,288,405,063,625,773,027,467,841,937,121,
550,750,152,901,757,254,440,135,545,277,854,636,458,010,067,998,591,989,350,
132,146,911,853,277,925,129,390,209,708,552,418,488,616,397,968,212,433,124,
526,917,377,974,875,343,537,778,509,887,508,465,510,840,283,925,847,606,042,
998,010,534,139,992,322,755,500,700,443,117,219,563,145,036,576,771,197,472,
330,942,486,765,794,308,881,429,680,394,693,594,037,057,216,021,243,341,858,
006,008,965,205,984,993,911,676,876,627,163,238,395,535,923,085,194,027,127,
490,005,281,248,303,567,391,481,135,145,526,375,730,850,645,692,401,962,671,
175,661,414,267,194,713,686,100,641,819,992,594,929,680,616,366,456,148,654,
237,223,427,518,442,692,076,816,912,930,645,881,778,809,274,828,909,591,162,
902,311,431,710,438,002,495,419,960,848,719,273,068,559,716,842,777,717,292,
064,775,153,777,100,420,726,479,311,291,356,991,334,966,883,760,805,453,102,
232,169,576,245,840,878,225,579,726,274,765,498,930,161,095,203,967,458,017,
729,154,014,391,910,875,991,453,047,308,134,907,647,063,509,093,905,014,101,
572,701,443,859,714,379,833,834,602,232,457,933,906,937,429,352,542,593,368,
469,004,441,897,006,842,661,806,419,155,645,236,061,402,495,984,495,199,828,
211,912,626,204,508,376,007,215,581,834,100,141,088,692,325,242,540,065,865,
405,140,742,681,475,691,042,900,570,201,582,414,598,210,369,071,647,955,724,
892,009,673,876,863,474,869,079,473,860,109,978,556,678,733,509,093,651,177,
520,563,740,878,302,694,105,370,322,611,271,965,798,625,369,402,051,588,979,
263,905,623,924,764,423,477,667,524,686,672,782,339,304,666,152,421,564,267,
836,675,894,015,988,878,995,587,666,330,995,226,626,124,814,525,734,097,548,
327,169,161,664,670,738,371,432,271,520,901,595,309,246,845,830,181,648,977,
571,072,930,726,893,030,701,207,059,457,841,770,382,169,130,122,294,067,582,
332,468,054,772,260,640,242,683,279,317,019,010,790,796,491,876,195,655,323,
642,477,669,172,366,938,673,414,613,730,699,425,531,239,409,213,625,332,820,
153,858,615,875,978,283,175,568,948,732,606,938,778,340,843,855,539,223,554,
903,151,667,290,692,220,880,905,584,610,706,772,091,747,667,358,753,246,712,
447,339,501,589,110,092,731,952,666,400,817,751,680,494,120,718,768,343,637,
712,332,370,946,860,800,369,070,584,698,108,684,027,942,766,499,044,297,642,
009,872,667,130,806,915,799,554,604,147,764,662,271,235,730,980,502,212,034,
468,587,224,356,774,980,955,021,678,528,237,597,139,958,189,299,221,332,119,
568,018,444,105,872,206,564,874,606,052,501,930,247,023,904,542,071,617,643,
158,136,137,738,111,370,132,388,696,367,368,041,695,891,493,450,357,648,262,
006,479,358,869,580,206,812,247,203,492,441,397,924,635,411,805,705,026,625,
302,322,664,894,905,836,010,265,997,200,372,575,544,941,890,521,491,420,144,
652,121,244,344,261,343,323,943,741,890,489,572,443,564,067,655,979,640,519,
540,378,619,565,709,177,483,046,920,211,483,339,924,145,645,451,152,103,731,
972,582,949,951,990,649,383,460,885,155,408,581,721,124,127,025,774,797,249,
292,346,377,169,234,498,706,419,046,465,279,459,045,742,146,601,789,758,045,
341,011,385,855,999,496,397,431,068,720,853,828,832,989,097,396,512,549,357,
039,090,778,159,627,302,707,298,760,975,522,069,114,650,581,437,230,466,224,
455,755,441,700,850,684,949,250,150,606,844,478,979,238,053,292,853,162,134,
466,607,900,298,551,005,270,991,245,008,690,813,203,987,355,986,994,935,779,
041,056,719,558,111,408,940,002,369,828,035,338,179,170,568,745,093,625,378,
773,983,136,771,388,995,649,005,933,882,966,178,630,959,969,116,507,770,467,
968,929,871,522,939,343,741,464,762,787,846,328,465,311,898,884,679,282,936,
635,977,745,209,296,677,453,970,976,178,006,913,324,842,466,131,036,576,408,
952,180,534,292,094,140,023,987,045,956,139,821,947,313,929,327,192,849,956,
849,341,052,109,635,082,935,511,164,629,593,296,563,908,934,149,521,044,720,
096,894,711,118,134,625,428,377,582,132,260,542,184,181,249,259,739,903,571,
751,048,226,692,865,169,988,879,993,593,839,670,515,255,401,396,506,942,286,
604,915,194,372,104,940,042,514,510,081,560,784,483,689,361,930,573,626,806,
156,885,130,872,299,599,820,113,468,284,585,357,214,576,807,881,713,857,780,
277,044,535,813,953,112,485,495,998,813,576,327,853,560,680,648,811,173,192,
074,375,480,459,485,577,113,838,110,401,904,346,615,990,324,776,899,638,727,
907,209,970,657,167,879,462,045,671,035,487,465,806,592,859,980,473,281,198,
775,463,748,542,488,348,657,910,442,751,416,344,340,464,165,209,752,040,774,
659,198,582,974,631,826,248,919,375,977,353,516,789,874,688,666,771,931,559,
846,192,598,445,322,442,602,141,907,810,286,917,741,489,639,908,970,650,016,
178,475,185,408,066,317,238,161,527,318,609,864,760,385,701,752,889,863,722,
516,040,868,283,604,179,695,497,197,053,071,288,173,944,384,131,753,986,299,
186,842,631,652,007,442,641,232,359,163,061,828,310,226,568,893,911,699,660,
259,400,259,400,202,896,926,560,768,213,801,139,826,237,239,372,412,765,148,
860,941,558,991,829,042,988,977,479,871,315,486,954,700,037,557,063,708,566,
440,022,608,242,784,980,042,239,388,782,684,883,487,307,307,912,742,161,603,
987,763,652,192,917,777,088,633,829,172,086,514,086,196,868,882,352,442,238,
024,134,972,953,606,959,089,055,326,540,732,157,285,916,796,459,550,249,217,
488,752,834,581,179,982,631,614,719,438,242,892,307,208,423,060,883,028,799,
841,957,064,042,787,161,063,972,243,642,320,598,535,974,207,021,730,420,318,
410,391,200,229,234,940,499,317,305,398,515,696,347,570,038,141,663,924,087,
549,396,762,951,747,930,821,767,412,497,297,870,344,002,884,596,139,449,068,
728,785,373,566,728,214,269,999,452,783,222,495,455,427,189,644,290,232,070,
898,196,117,359,312,400,146,677,286,879,448,636,339,347,421,489,763,359,852,
412,469,955,435,943,573,147,408,985,073,228,346,255,467,453,910,030,803,883,
031,009,748,638,308,393,589,309,227,326,721,446,876,713,528,400,043,799,120,
936,938,623,812,794,148,399,181,738,765,599,610,701,528,081,158,293,217,604,
000,220,569,372,185,337,981,275,525,975,947,052,169,938,044,701,899,458,565,
800,268,048,486,654,891,974,910,686,545,500,254,436,801,969,927,720,876,659,
513,600,155,662,631,026,944,006,655,848,053,030,262,723,224,892,816,588,699,
836,634,365,469,466,181,121,697,861,841,791,332,318,312,452,213,478,620,313,
426,927,692,368,969,201,073,202,562,423,869,162,629,356,745,559,629,611,269,
077,888,952,397,589,552,425,202,380,575,603,116,669,739,178,006,555,158,618,
422,396,314,024,443,374,603,059,744,592,993,949,413,308,948,317,533,439,506,
660,507,634,871,016,479,024,432,849,014,863,460,762,016,128,126,045,621,803,
413,648,118,553,020,946,715,679,052,534,283,743,292,643,426,922,410,866,906,
323,803,227,557,503,079,405,013,731,575,629,521,600,862,063,026,166,899,868,
998,698,503,517,550,062,806,910,519,630,962,309,410,516,277,119,439,441,658,
361,523,861,253,618,319,400,328,974,676,016,862,332,728,220,988,112,994,591,
923,885,489,379,299,329,502,225,904,714,024,221,144,189,992,626,532,812,020,
658,518,085,212,519,037,029,533,138,480,353,951,985,814,216,900,403,851,641,
476,343,423,497,513,457,237,026,586,863,877,290,080,866,740,617,193,998,926,
078,767,062,962,733,624,244,564,918,696,686,629,827,243,017,194,072,533,491,
893,892,300,964,903,892,951,638,726,883,637,958,147,312,323,916,814,347,510,
684,333,036,344,481,906,131,448,252,158,983,821,146,519,523,540,320,079,458,
569,959,726,435,646,159,430,674,610,112,022,096,149,902,287,734,375,578,534,
152,038,205,120,434,265,909,182,267,348,727,782,862,314,334,600,193,439,781,
160,369,606,410,133,061,473,904,797,830,318,529,679,928,446,437,306,232,616,
408,912,698,752,558,794,518,158,025,617,421,651,033,220,880,726,144,963,648,
270,137,419,174,431,456,174,646,813,317,625,657,154,546,505,865,045,759,053,
403,497,107,533,350,093,761,384,888,443,921,210,909,118,206,205,570,982,349,
675,402,910,802,063,535,866,788,929,914,434,740,702,040,951,813,750,094,408,
718,721,451,178,048,499,958,750,874,187,010,169,279,031,688,499,573,740,662,
279,405,167,672,282,343,063,122,362,446,889,837,376,029,696,214,680,720,380,
910,835,133,321,925,972,664,795,143,494,569,452,923,973,388,519,407,054,804,
429,374,778,812,116,673,584,420,540,041,426,561,567,648,751,992,984,814,064,
250,302,455,048,172,583,652,224,983,041,724,732,507,483,810,655,768,626,413,
697,194,497,170,343,419,146,635,380,252,652,107,569,288,236,556,508,732,347,
067,861,212,953,949,075,277,956,379,628,927,860,895,036,414,435,586,972,935,
541,204,932,122,895,046,579,877,863,748,460,664,008,307,399,518,701,047,982,
817,088,533,483,662,501,094,849,431,518,772,522,083,136,290,833,723,399,661,
508,390,424,927,632,410,628,044,222,948,925,240,590,862,806,052,770,489,892,
542,743,656,104,502,126,412,354,183,600,685,659,740,515,631,088,571,836,958,
445,050,310,806,014,713,185,846,814,533,003,434,503,512,213,079,353,700,765,
323,378,826,227,092,273,503,638,088,894,865,567,755,430,581,101,205,478,617,
191,451,774,794,362,794,538,899,447,777,819,030,466,133,579,257,925,683,840,
513,669,806,403,880,968,314,208,717,748,755,218,333,108,452,112,016,300,619,
935,195,907,455,261,577,221,902,916,146,880,924,785,684,484,079,918,836,051,
125,343,518,377,360,000,671,801,559,483,011,815,927,569,010,584,897,373,112,
949,615,970,632,509,808,476,395,323,794,328,939,194,230,817,554,186,680,272,
355,774,387,298,749,791,678,743,768,055,778,057,780,116,974,790,340,930,902,
829,544,735,629,342,347,202,284,939,782,861,030,216,431,164,227,162,891,081,
477,218,723,161,030,418,748,657,528,071,296,619,937,442,882,618,932,332,701,
616,493,588,587,223,032,660,346,741,626,712,960,019,832,378,949,497,927,567,
566,860,747,487,347,270,707,555,221,646,404,640,976,779,522,605,425,311,147,
308,917,379,307,486,973,656,597,205,798,803,190,452,621,269,849,761,070,506,
988,426,759,699,530,956,256,906,909,857,631,545,748,257,503,939,881,092,132,
277,070,135,951,068,093,483,813,077,304,051,410,787,670,128,725,499,924,357,
974,324,280,718,450,212,020,187,399,943,845,660,813,411,390,156,739,033,446,
739,931,099,805,027,412,060,359,221,471,314,723,965,788,611,104,362,085,127,
193,543,770,949,986,142,625,014,672,252,328,351,539,575,522,298,340,680,159,
107,505,562,787,938,295,648,949,632,695,185,553,373,670,398,216,286,467,898,
888,759,733,598,144,487,522,493,521,185,210,548,320,711,595,184,074,163,324,
360,015,165,620,716,861,755,852,219,640,182,939,745,204,129,790,007,304,434,
044,162,739,155,475,923,795,438,382,847,326,288,864,806,396,642,216,370,446,
772,095,783,309,865,901,250,060,264,502,082,536,726,761,109,654,614,817,813,
603,867,645,834,517,461,066,124,289,822,708,499,993,532,218,295,507,552,354,
534,072,209,886,490,461,069,986,238,538,461,405,025,576,115,594,715,712,197,
906,485,007,738,984,842,013,974,834,964,666,281,582,232,326,697,874,747,642,
217,997,979,220,189,039,635,791,965,629,955,375,451,221,084,998,538,613,885,
548,334,430,650,663,405,333,780,649,629,265,507,157,863,064,054,288,976,818,
746,896,573,894,746,275,040,920,651,999,275,333,099,283,772,080,920,299,962,
203,151,004,250,739,287,705,737,894,206,918,191,543,880,994,408,705,641,829,
504,117,952,607,267,815,306,093,080,330,132,238,838,136,706,023,997,731,521,
705,261,118,143,771,831,833,148,190,977,143,074,472,818,678,837,676,863,165,
315,017,528,989,518,215,031,262,620,840,602,302,058,626,091,556,350,854,818,
990,375,797,847,220,310,044,348,511,145,641,573,301,781,601,335,848,208,516,
644,002,740,884,477,015,976,076,817,141,539,576,255,006,031,243,750,121,838,
042,567,138,800,526,343,354,502,074,018,246,669,490,097,331,761,074,741,095,
491,074,213,867,080,244,952,768,146,554,078,177,161,658,325,866,232,395,722,
724,830,811,049,670,674,338,362,999,840,743,276,318,449,581,534,466,232,023,
426,892,449,386,208,927,682,381,128,992,624,401,873,150,666,210,461,196,682,
139,887,081,889,227,880,912,967,369,618,097,755,764,529,871,257,155,321,610,
869,560,459,032,930,716,591,603,917,100,082,290,715,179,150,679,427,599,066,
552,326,916,391,258,877,829,217,511,406,492,109,746,124,868,463,284,531,675,
799,309,002,697,326,612,504,121,170,073,282,972,268,859,300,338,172,342,826,
284,986,695,122,633,184,477,593,913,053,533,017,436,712,427,927,396,815,967,
053,763,530,885,033,720,922,571,966,635,161,767,915,700,629,673,708,809,208,
059,255,978,717,446,688,737,098,991,800,689,337,160,580,885,327,934,311,491,
773,436,838,036,177,642,987,480,501,106,184,307,643,996,241,377,319,495,587,
867,498,394,799,760,013,174,165,808,206,383,547,500,706,212,427,961,992,309,
093,996,934,608,434,108,828,152,219,845,484,933,726,582,207,028,739,835,277,
839,367,270,861,598,384,525,677,015,811,220,768,278,840,422,322,025,645,095,
232,406,308,131,454,984,058,498,844,751,514,217,732,951,714,312,989,174,125,
544,507,745,928,409,390,337,019,933,977,830,932,430,779,921,139,424,559,678,
411,597,019,162,880,908,587,321,757,376,035,015,924,487,604,205,096,806,620,
587,663,087,778,188,120,089,477,371,138,103,974,482,983,083,614,990,823,913,
798,200,763,586,502,577,600,328,152,622,161,503,172,118,796,140,084,595,070,
570,835,670,533,120,739,141,511,893,709,736,010,818,560,314,443,153,697,548,
547,100,294,250,573,378,210,354,387,656,195,678,752,497,252,458,567,455,461,
054,083,439,626,008,310,026,514,417,513,708,387,799,758,670,368,784,712,643,
994,075,943,891,502,639,247,439,647,143,989,274,546,793,880,744,720,361,392,
633,857,310,081,636,793,226,770,154,770,007,553,148,726,764,944,335,777,236,
668,289,756,533,538,937,729,738,057,711,722,195,469,619,108,557,393,956,957,
934,752,476,181,517,150,072,385,961,684,585,564,097,174,631,016,545,194,211,
938,464,191,643,873,468,219,128,909,313,538,298,593,810,708,699,525,067,500,
872,792,535,052,477,591,502,036,253,517,574,042,192,200,094,217,411,058,206,
441,607,506,095,454,776,440,368,731,331,653,626,613,593,121,839,728,102,109,
952,046,739,738,874,539,458,699,196,171,343,842,416,738,419,851,308,242,937,
613,911,086,199,059,269,427,626,536,270,479,357,184,738,779,677,902,182,373,
420,595,666,827,488,098,444,047,692,716,417,001,865,746,018,209,574,432,043,
563,128,732,161,768,684,437,643,205,313,050,320,046,458,117,567,348,504,828,
993,451,016,550,300,056,496,671,038,004,545,717,389,880,745,053,042,280,443,
880,156,359,397,276,389,301,329,906,137,455,876,357,350,573,995,808,142,393,
327,357,297,165,069,152,309,205,615,669,901,961,843,911,187,390,518,390,777,
211,663,721,235,082,875,326,188,050,949,520,896,192,520,645,751,277,025,614,
956,059,206,501,592,273,669,891,076,645,982,456,309,655,945,742,793,005,673,
103,925,141,379,901,449,496,393,199,854,018,473,666,893,786,168,762,219,584,
078,700,639,071,072,397,700,744,087,334,544,210,938,987,722,803,512,603,926,
000,589,601,067,836,585,769,621,081,864,397,054,833,186,676,194,845,270,444,
810,487,870,550,125,363,953,631,711,222,881,942,622,160,349,444,423,008,762,
605,110,525,370,650,596,491,317,190,366,547,963,577,150,644,262,792,567,106,
785,699,891,943,686,524,148,999,180,028,333,444,906,712,767,416,898,694,109,
440,047,118,316,527,581,289,091,635,791,853,273,952,199,541,945,681,953,279,
715,963,664,831,148,967,007,613,257,490,155,603,662,246,086,103,516,712,424,
411,686,629,090,935,242,909,151,887,366,065,022,841,019,298,122,369,635,265,
584,448,750,125,609,924,307,839,273,472,920,206,934,632,600,349,948,392,840,
367,026,209,842,341,294,915,162,338,718,400,113,807,744,442,700,472,450,034,
601,395,154,459,228,927,141,565,728,194,159,489,321,549,432,888,441,070,355,
142,044,418,042,584,161,625,113,446,442,213,361,033,519,376,838,640,643,903,
299,323,055,560,977,058,495,684,749,112,682,834,866,506,633,601,356,643,003,
349,559,373,126,316,643,188,682,141,921,736,944,450,545,461,318,391,147,622,
240,194,866,169,682,777,151,609,559,341,566,014,028,011,755,860,669,914,499,
522,923,570,578,053,487,824,513,009,406,980,067,509,005,172,839,404,472,556,
244,589,537,077,346,720,421,253,975,427,862,918,627,697,407,072,274,811,481,
435,859,204,109,884,407,199,965,779,548,735,215,826,048,607,835,544,857,220,
500,686,378,330,906,792,486,021,898,154,899,201,337,294,212,867,169,462,445,
910,935,588,848,738,092,185,053,707,268,583,594,207,158,281,827,804,810,538,
392,053,941,827,583,609,515,402,242,940,813,749,736,448,963,553,944,332,447,
865,293,997,917,726,093,679,193,712,209,751,884,370,374,241,855,796,222,026,
377,297,302,348,457,909,624,904,040,421,326,032,839,518,538,104,136,259,941,
436,519,182,382,574,747,195,812,931,786,910,368,526,890,873,214,024,360,713,
990,934,415,617,211,158,369,444,325,421,309,449,966,036,037,338,445,283,764,
911,589,551,183,894,138,811,379,800,682,551,102,963,929,940,413,085,382,134,
244,842,651,922,856,958,266,448,763,516,906,123,687,699,679,387,158,517,433,
505,704,149,353,888,975,990,283,073,451,859,693,033,442,445,709,194,233,665,
489,738,268,070,303,804,178,954,797,606,381,977,267,054,803,493,980,893,976,
677,477,732,197,768,632,104,091,606,034,311,908,452,981,823,786,994,479,673,
433,165,887,478,881,861,688,611,466,461,970,716,233,450,260,848,013,391,043,
930,910,655,714,018,124,470,240,234,825,791,721,971,198,576,004,866,972,188,
690,707,249,983,074,123,701,680,009,113,389,277,164,208,719,717,746,417,679,
520,474,444,528,958,221,743,732,166,823,747,900,449,703,215,590,331,668,545,
166,094,425,005,569,526,411,342,598,307,981,307,297,672,456,430,334,659,876,
515,416,126,273,494,133,791,267,705,172,102,617,555,329,165,430,465,065,485,
497,743,705,663,514,691,013,898,754,443,671,507,190,895,329,862,201,850,355,
584,505,119,300,027,457,196,841,175,361,725,059,184,193,587,699,554,653,761,
558,671,409,461,263,852,446,990,295,954,029,224,033,335,417,519,626,552,193,
119,668,828,622,169,744,085,195,542,553,053,474,497,042,096,355,091,646,357,
899,594,827,006,103,291,952,314,398,355,650,510,953,387,922,670,935,440,355,
021,786,976,469,569,679,902,753,736,379,250,508,468,750,162,911,491,682,383,
642,750,070,079,804,560,949,201,981,745,660,048,048,866,025,097,133,477,108,
680,219,035,120,081,003,193,799,310,740,950,249,063,165,603,028,533,677,422,
125,813,033,613,298,381,228,723,989,160,366,252,057,186,234,743,712,461,965,
926,990,154,259,076,802,244,949,779,143,985,302,978,389,255,318,283,609,256,
509,726,590,184,570,993,914,777,805,191,044,683,229,593,103,043,753,960,667,
067,118,897,954,868,866,090,962,007,508,760,486,490,090,440,369,404,628,716,
988,237,776,209,747,254,127,327,582,075,375,967,732,969,094,437,937,006,657,
531,088,385,200,782,787,644,218,012,174,895,454,936,223,831,738,743,499,776,
891,868,780,881,318,619,229,389,346,370,995,254,221,287,831,108,838,935,789,
091,635,114,500,723,449,903,619,923,856,305,047,831,816,389,741,022,785,771,
909,586,213,078,420,133,807,957,862,902,535,368,688,906,874,301,894,177,986,
033,219,510,404,313,306,397,213,818,136,358,886,866,089,798,985,896,663,736,
315,158,013,571,647,733,031,562,734,836,671,876,913,045,971,924,524,266,133,
305,327,943,733,515,621,107,336,327,358,704,070,929,313,046,499,361,279,343,
399,629,870,744,670,828,566,384,671,925,275,516,698,583,076,328,198,814,018,
720,662,671,256,340,188,852,582,332,608,474,044,727,885,729,086,770,053,374,
230,164,348,196,187,066,847,666,281,763,174,499,176,770,729,521,741,103,618,
137,226,568,008,147,667,826,066,203,585,778,226,056,561,453,880,825,013,655,
266,834,935,736,846,995,700,461,495,337,787,549,884,649,184,055,623,766,966,
227,504,361,767,188,280,158,916,079,644,871,129,460,341,782,466,964,776,164,
394,963,696,024,361,470,815,970,244,225,669,983,072,908,352,563,321,668,837,
423,899,419,187,777,065,685,478,737,460,431,307,455,094,485,088,075,858,788,
458,735,721,101,186,590,538,325,739,888,846,958,328,594,802,810,367,949,145,
043,483,474,654,599,873,182,387,915,530,806,385,120,727,184,924,408,173,454,
931,729,331,570,871,128,551,005,516,351,507,768,615,353,372,058,132,790,857,
326,363,451,816,186,438,049,522,043,955,669,252,854,950,123,862,248,020,276,
730,827,384,809,667,620,747,848,015,035,790,140,649,235,805,715,856,914,857,
673,268,293,295,990,124,445,432,670,777,375,408,232,575,703,921,896,111,896,
094,176,198,869,384,288,107,028,219,384,363,414,819,844,695,979,617,155,247,
932,205,991,096,433,438,175,842,323,952,488,076,650,917,923,486,985,019,215,
879,805,673,841,056,730,338,380,946,125,638,212,744,376,774,058,394,462,020,
024,121,073,183,904,560,462,577,330,210,493,455,436,641,944,938,743,486,918,
436,589,200,996,849,165,682,429,646,013,832,047,843,564,842,513,482,380,640,
486,773,966,777,225,107,458,170,853,948,831,711,268,710,436,359,558,496,106,
681,302,724,668,287,199,580,532,263,435,016,042,515,584,914,346,775,766,588,
826,711,821,604,951,360,414,722,615,867,284,309,555,210,146,075,302,283,272,
872,960,672,819,822,860,502,575,859,612,443,974,846,302,832,662,495,966,668,
792,735,809,172,248,253,032,076,306,916,059,912,479,403,329,391,503,544,284,
077,683,413,044,253,515,911,494,292,297,462,970,923,668,033,366,222,333,704,
897,443,610,348,095,585,613,611,186,186,277,393,797,072,807,800,859,337,503,
305,706,389,404,438,509,364,627,627,606,137,525,150,911,936,250,765,086,117,
939,544,332,938,378,031,334,052,773,374,632,835,420,969,236,288,045,692,267,
863,166,818,369,794,284,583,513,186,501,530,098,334,292,373,355,176,456,896,
074,841,380,598,650,795,641,317,859,043,399,099,644,476,659,623,941,358,032,
822,616,536,709,544,780,652,347,351,261,661,008,925,368,685,042,811,121,735,
473,102,922,036,102,170,540,004,974,895,167,482,681,453,859,017,553,961,613,
073,608,642,688,831,718,310,519,754,022,237,130,610,706,281,340,981,038,972,
490,406,882,940,671,809,582,627,548,522,365,692,394,565,372,568,880,453,775,
837,912,061,577,229,031,089,167,067,286,915,745,709,275,621,281,561,107,954,
234,551,316,613,376,929,069,678,014,137,009,276,130,787,335,963,882,979,300,
411,541,570,231,883,058,914,513,368,074,751,460,701,909,110,342,561,203,878,
282,639,415,170,720,073,934,561,658,492,967,353,670,840,916,479,970,854,420,
589,539,030,299,221,771,363,322,160,344,321,937,164,418,919,226,884,885,561,
407,738,646,983,158,827,378,091,770,719,822,425,242,219,174,137,020,202,751,
157,297,862,002,187,240,512,280,890,361,087,457,145,130,436,762,433,843,394,
870,008,284,163,161,937,235,697,511,915,300,169,990,833,822,262,933,655,983,
966,876,151,455,235,636,535,745,380,231,155,202,347,472,395,484,190,259,525,
580,336,070,703,188,165,672,176,691,930,444,660,101,314,616,315,249,132,323,
315,129,229,588,345,162,896,685,491,991,847,897,004,155,891,019,208,352,475,
247,116,781,464,641,115,380,145,790,933,400,092,205,198,888,640,408,433,543,
046,721,158,491,470,064,702,690,938,013,486,505,020,380,246,723,996,938,800,
108,061,582,893,296,319,229,471,958,127,261,662,801,661,374,149,907,606,952,
687,585,286,019,738,716,567,701,231,350,374,355,885,341,926,380,786,832,469,
375,073,963,269,487,452,705,841,788,877,358,221,756,706,099,729,269,600,625,
158,984,008,441,054,422,891,084,709,018,998,206,102,312,721,605,749,435,163,
192,636,456,610,512,369,185,070,317,568,902,908,551,930,931,047,444,659,967,
998,547,280,058,941,446,679,426,999,018,384,826,205,548,610,179,681,041,475,
049,105,131,530,084,335,380,910,836,767,722,515,437,608,841,677,553,243,809,
006,278,766,072,909,981,662,785,816,377,419,962,789,633,622,751,098,442,182,
041,931,635,127,068,345,188,399,386,374,505,933,771,882,222,044,750,840,106,
447,406,736,058,972,727,520,025,655,054,236,230,393,156,848,480,460,247,816,
005,122,963,162,158,985,659,267,614,523,789,316,199,374,461,071,159,394,854,
173,908,279,674,483,557,139,785,084,285,178,725,815,868,042,006,663,390,313,
594,471,326,930,768,679,175,795,602,007,537,009,962,018,945,654,342,386,025,
336,038,221,538,491,600,600,072,995,948,626,555,848,879,652,826,687,360,368,
279,031,380,945,626,451,049,012,235,217,587,123,067,892,847,684,427,308,303,
082,829,922,629,533,605,958,546,175,992,810,373,937,211,119,508,104,370,317,
117,278,595,139,937,098,559,485,790,655,380,052,498,704,640,584,154,580,877,
434,155,351,748,428,595,346,797,991,218,518,224,946,390,567,731,721,721,650,
925,712,306,129,596,636,611,467,225,116,207,180,137,782,868,038,328,965,965,
241,867,014,029,920,558,698,254,685,251,697,063,248,009,180,909,596,876,766,
110,944,679,482,457,665,919,920,813,802,314,440,596,448,062,389,302,879,306,
045,007,427,212,089,161,563,180,080,829,443,225,339,894,374,137,005,965,125,
228,187,961,253,376,743,499,961,760,480,104,935,472,950,634,080,203,912,251,
437,063,433,315,178,916,607,218,912,870,974,254,418,309,348,116,071,769,487,
791,293,721,291,297,514,899,085,999,619,832,683,788,373,433,464,791,526,009,
211,712,021,320,810,599,603,167,403,708,473,782,811,392,967,697,762,645,651,
818,017,924,083,683,805,904,748,240,688,006,168,412,826,665,140,894,281,716,
160,894,211,375,714,336,216,985,024,300,879,222,388,272,993,635,950,460,786,
124,446,100,057,492,047,979,329,905,073,049,732,394,005,748,331,941,661,575,
423,740,680,310,241,047,353,681,668,538,226,824,266,950,626,078,685,272,712,
173,108,281,114,102,478,864,196,491,778,772,855,741,706,760,773,510,029,312,
146,525,399,323,934,408,206,128,225,567,408,944,857,472,362,403,594,387,769,
347,493,744,329,055,865,952,375,855,743,593,640,769,807,356,782,763,236,658,
890,753,475,385,817,903,751,179,326,078,758,515,448,541,043,836,908,543,643,
690,008,109,892,660,229,682,745,173,569,219,018,495,241,876,343,565,167,389,
823,377,500,617,961,387,659,270,803,320,107,307,243,432,128,742,287,847,815,
473,271,801,863,111,787,472,713,997,625,362,789,412,591,035,681,970,692,581,
113,203,086,486,490,368,288,569,148,035,016,082,222,068,961,211,046,071,335,
605,029,748,654,989,358,585,693,741,844,073,934,772,313,397,211,501,013,115,
157,563,248,772,048,083,692,853,053,189,442,056,164,132,145,043,907,555,582,
351,937,249,684,155,545,356,625,753,288,530,890,009,268,432,492,241,632,754,
620,211,795,303,313,110,750,076,603,948,111,945,563,005,202,852,608,688,452,
789,579,258,259,465,723,162,083,844,978,735,283,536,045,993,580,335,074,026,
145,173,639,247,328,725,077,863,758,197,911,492,984,891,880,051,641,254,710,
881,159,272,066,874,848,941,482,355,862,234,621,957,332,683,592,949,493,278,
061,385,955,823,155,503,852,622,785,316,072,520,879,829,348,666,293,003,623,
179,948,750,387,730,039,061,790,540,205,133,622,581,403,833,865,552,418,272,
504,369,476,322,606,674,280,954,075,963,449,563,056,483,741,527,433,027,068,
564,596,166,369,414,492,375,845,845,623,910,025,153,841,686,952,513,418,696,
255,223,211,213,665,817,970,810,183,167,995,171,827,602,003,877,293,837,864,
400,659,179,609,517,792,738,054,511,141,273,669,244,500,396,678,925,132,375,
776,036,704,793,434,654,663,154,702,307,318,252,721,963,239,905,756,820,935,
100,051,388,689,505,622,333,659,057,784,616,482,817,492,386,323,994,896,121,
627,563,199,856,827,513,705,334,768,394,837,315,099,401,784,572,564,639,186,
124,893,945,860,948,061,698,254,632,938,170,172,480,859,627,981,872,598,244,
700,222,857,283,855,287,206,870,650,724,308,757,886,057,488,704,826,394,150,
103,435,063,053,257,328,942,213,863,907,646,186,395,773,265,543,770,739,671,
961,072,581,945,917,725,052,035,834,425,299,580,587,156,466,642,743,686,525,
274,228,522,667,693,173,973,807,360,564,000,911,033,176,458,372,751,595,736,
705,587,627,155,574,894,853,341,756,920,189,648,834,741,075,615,141,859,564,
564,412,611,806,770,633,057,373,312,759,845,721,647,454,554,344,177,809,506,
669,671,619,204,847,991,518,357,268,513,584,440,136,898,127,749,449,752,764,
929,755,776,696,025,576,183,980,893,004,015,790,369,436,736,058,548,549,227,
616,576,491,766,660,925,234,031,570,409,203,508,395,192,364,114,458,632,082,
305,208,935,623,144,824,294,072,658,548,909,527,123,690,431,420,012,501,013,
828,572,343,057,233,388,159,931,168,562,423,212,065,586,630,234,448,091,116,
832,405,446,962,148,305,099,583,256,006,452,168,545,376,315,001,554,405,562,
118,361,114,893,301,991,836,696,408,564,153,535,288,698,171,427,963,104,582,
085,964,510,495,799,259,527,278,664,344,209,905,087,239,066,456,865,855,191,
688,485,294,322,439,479,576,172,959,356,484,405,089,503,393,005,195,385,894,
531,001,636,963,477,034,889,715,347,553,896,219,958,742,331,664,285,396,398,
318,188,405,210,270,679,382,836,471,023,757,812,837,067,382,428,392,695,747,
230,895,232,821,860,068,346,252,180,937,857,907,159,477,546,678,820,127,857,
577,065,821,658,076,941,723,908,156,575,226,244,865,085,886,258,657,810,341,
120,240,431,330,128,720,138,875,504,943,939,044,409,093,162,022,835,224,127,
671,473,283,128,089,224,345,091,503,653,480,224,487,755,436,431,706,639,378,
412,971,698,820,068,014,770,796,239,403,591,637,266,483,102,472,173,378,040,
886,593,992,938,246,167,504,546,187,019,929,839,272,104,090,332,883,258,019,
011,153,733,876,379,014,825,882,679,394,062,522,743,398,554,722,196,084,679,
989,126,812,267,105,209,548,721,871,354,548,473,095,319,707,844,010,163,499,
272,786,933,113,335,366,142,979,453,951,176,898,688,235,903,857,752,511,242,
945,837,546,946,425,956,433,200,009,551,408,679,841,547,232,731,355,392,593,
243,898,363,493,764,123,427,311,819,353,630,772,994,989,232,440,689,109,195,
513,240,422,652,405,388,446,238,928,141,608,432,758,093,920,961,886,719,211,
366,786,771,764,255,511,857,150,827,447,759,588,624,659,254,119,015,320,104,
218,164,598,460,329,671,792,715,614,033,112,798,611,961,332,101,810,893,314,
199,365,044,543,167,846,727,262,076,737,265,676,420,778,442,472,093,100,042,
619,936,479,162,008,176,209,716,654,614,700,409,633,983,551,646,530,713,104,
669,924,061,879,233,189,766,114,275,373,398,782,664,470,078,350,698,940,953,
645,538,145,901,447,405,304,595,362,502,671,747,798,771,806,817,799,218,455,
904,944,669,048,763,118,278,887,104,497,767,651,757,339,136,105,750,779,039,
089,073,270,846,808,107,450,969,886,824,758,429,410,264,918,956,879,840,026,
013,809,951,761,010,747,549,493,985,512,677,300,375,833,169,749,498,067,964,
165,268,638,489,932,036,139,442,743,517,782,927,659,588,913,237,877,571,808,
756,788,675,043,949,419,298,995,607,870,174,366,113,751,592,858,750,031,306,
633,825,127,066,856,455,556,471,862,700,047,064,530,398,703,925,361,968,107,
633,940,081,525,543,427,890,763,670,744,653,071,479,283,986,280,023,002,754,
542,747,103,636,968,629,098,188,308,505,656,437,225,377,130,646,500,084,350,
179,243,274,183,672,513,416,942,329,637,569,976,443,787,138,575,008,227,812,
924,655,728,470,142,857,472,400,698,728,593,002,954,764,324,927,186,465,475,
081,432,798,238,099,121,329,066,977,134,274,304,042,907,081,662,383,050,227,
450,505,882,620,558,364,378,126,770,486,468,318,500,858,749,947,866,289,483,
448,327,343,275,252,567,304,947,850,329,326,051,038,688,083,729,249,644,435,
572,948,656,069,224,606,262,805,652,926,588,705,531,590,498,280,174,450,009,
102,691,878,360,173,955,068,053,910,191,014,910,352,503,233,192,557,789,067,
571,805,713,455,095,069,391,337,976,039,685,732,678,511,361,662,421,491,745,
554,143,790,912,699,747,233,119,853,894,977,231,522,396,263,131,358,320,707,
640,160,160,665,475,564,125,409,414,865,353,601,461,091,970,687,831,728,871,
219,498,545,175,511,925,108,865,136,823,046,783,334,889,167,107,731,537,964,
991,604,688,430,398,204,279,054,227,447,111,932,559,629,817,195,236,192,497,
604,194,314,830,726,837,028,618,436,919,079,311,955,237,918,640,392,357,891,
600,558,843,271,791,409,306,210,601,590,218,548,358,849,975,704,555,764,199,
334,320,972,969,969,265,568,627,445,232,563,996,466,196,855,183,373,336,370,
611,898,625,815,860,756,144,691,804,713,473,398,134,536,257,368,555,515,201,
610,583,107,794,351,935,376,296,319,266,412,329,207,042,066,364,740,704,086,
456,958,349,201,091,531,468,666,609,523,705,398,854,384,711,426,847,511,256,
663,209,445,093,811,858,427,605,462,102,120,704,407,553,775,304,040,945,770,
338,927,951,931,137,390,904,322,935,663,943,768,832,949,654,004,694,071,900,
599,396,752,190,213,546,857,524,598,674,910,640,312,203,753,586,583,687,126,
662,737,012,253,831,696,736,656,297,963,194,447,665,577,706,425,133,552,319,
638,912,783,276,434,314,811,492,081,832,447,142,329,523,546,324,841,923,308,
025,233,575,376,899,621,413,155,702,256,418,870,419,596,110,996,645,821,965,
265,880,724,532,941,645,219,362,471,324,079,017,848,070,167,603,221,223,524,
642,792,449,986,931,831,577,177,254,349,128,575,032,542,222,839,391,676,702,
055,666,641,274,973,658,355,411,792,882,839,494,992,581,162,809,061,994,882,
957,291,406,412,774,883,903,247,447,823,650,800,246,180,231,481,342,487,456,
476,006,930,829,102,751,420,613,610,432,595,768,457,872,447,674,463,237,728,
939,260,697,106,360,694,568,062,609,835,630,746,681,378,666,982,277,897,694,
228,057,660,262,121,092,368,617,143,321,423,169,615,112,145,042,292,375,026,
680,436,730,199,671,278,278,344,157,538,428,338,665,432,359,917,989,042,356,
660,238,876,128,420,281,961,539,949,034,144,440,686,250,329,097,702,694,394,
095,810,117,615,147,339,822,114,129,054,138,988,651,684,683,235,412,334,190,
735,348,522,363,668,536,178,658,641,703,317,941,901,671,414,114,073,796,015,
181,867,565,001,932,219,084,326,864,259,667,064,371,599,794,731,415,537,151,
998,042,470,044,055,186,959,511,626,591,859,085,098,753,673,999,264,804,346,
708,226,934,272,077,363,266,489,337,945,492,934,317,614,352,257,709,426,631,
283,870,047,433,263,174,840,719,579,664,799,504,229,388,924,664,379,576,030,
974,728,711,202,131,221,229,843,694,566,324,960,002,020,496,999,242,692,998,
300,077,994,985,082,557,698,524,173,302,370,798,047,769,539,831,140,653,527,
574,397,190,602,731,820,483,573,376,276,113,028,618,203,311,727,101,040,745,
773,110,271,427,976,397,650,394,891,266,952,530,163,198,864,969,192,536,743,
578,963,408,970,607,449,688,350,090,301,828,674,859,849,168,883,424,468,749,
756,401,586,672,755,278,817,957,774,050,816,020,974,328,300,885,046,198,964,
778,067,267,975,743,384,724,262,158,457,800,239,092,528,616,420,432,011,235,
810,594,586,685,973,742,328,964,172,938,662,105,302,642,529,344,563,072,013,
945,253,494,887,268,785,501,093,801,950,589,110,581,547,840,144,878,174,609,
892,663,661,141,082,546,512,209,270,040,357,701,161,128,456,968,180,706,105,
485,780,540,259,823,236,227,430,943,952,610,185,700,103,226,880,923,747,957,
074,831,692,822,373,320,994,844,580,377,785,185,480,661,822,280,529,395,645,
352,774,142,066,323,374,189,105,936,846,787,540,857,100,435,408,297,143,569,
337,723,850,705,803,649,246,804,235,846,792,897,790,263,078,124,766,014,412,
974,141,669,698,484,311,761,145,299,894,602,477,265,175,819,866,777,000,421,
231,993,334,884,880,888,738,610,865,287,871,451,758,450,849,879,121,204,446,
050,692,161,936,832,234,433,478,625,924,970,013,081,519,951,775,568,533,372,
928,514,358,014,831,755,549,237,129,545,518,749,031,652,491,858,949,125,388,
613,028,993,180,793,766,935,085,158,741,635,073,058,438,146,016,895,585,003,
764,177,691,636,541,356,266,040,219,067,711,460,095,973,946,950,359,130,109,
167,324,653,949,670,636,345,237,727,538,875,074,506,742,640,997,942,496,188,
340,365,101,809,716,210,266,571,636,550,635,647,687,054,387,092,424,887,067,
735,922,075,031,349,578,209,104,556,109,193,339,235,319,033,239,406,057,632,
930,057,475,480,481,080,997,846,642,160,819,189,707,972,379,399,967,111,819,
505,268,258,740,506,009,071,555,404,464,960,234,902,464,003,204,392,405,005,
968,932,585,899,432,761,757,680,580,295,308,583,391,063,968,190,214,023,566,
377,957,405,353,202,257,532,250,023,321,243,567,734,826,693,852,144,305,747,
052,295,507,063,667,840,937,284,113,105,981,956,376,950,578,075,982,140,482,
310,656,036,600,535,088,522,277,333,304,834,514,837,507,540,618,261,197,889,
435,770,010,156,657,867,720,918,541,768,696,866,247,074,903,699,881,210,978,
410,584,614,869,578,888,528,746,287,457,623,479,387,904,183,769,269,799,347,
123,938,643,539,711,501,043,055,939,231,647,943,931,122,513,250,553,005,546,
459,924,759,501,355,560,409,202,802,693,452,820,236,610,025,673,242,455,974,
091,178,518,170,270,577,006,011,533,041,487,417,631,343,917,619,400,229,576,
417,220,225,061,323,109,116,923,905,934,683,211,635,402,021,873,244,638,243,
117,816,940,617,347,625,843,234,155,729,111,726,354,461,541,013,307,497,882,
854,739,997,143,970,022,171,306,180,288,635,950,186,959,638,997,415,978,727,
698,300,362,507,551,782,088,895,198,542,752,945,185,976,663,424,566,522,157,
769,298,707,105,340,764,816,994,322,731,484,854,550,129,242,179,275,765,060,
473,089,605,536,041,723,123,043,713,343,297,999,908,772,011,568,400,921,677,
632,082,449,944,504,046,738,898,652,904,642,982,718,639,390,333,694,229,017,
840,048,306,584,213,671,572,270,053,287,841,764,955,179,278,845,414,362,370,
990,456,677,166,357,029,252,943,475,894,552,510,708,946,606,101,798,551,802,
661,906,098,779,493,242,203,662,960,693,101,659,491,640,297,824,083,699,091,
642,326,063,155,651,783,505,773,610,154,884,050,233,850,994,235,271,266,642,
263,296,535,859,296,387,464,382,202,167,288,702,957,197,008,514,364,227,390,
709,224,285,844,887,919,256,104,836,485,638,582,557,013,042,089,406,886,460,
736,661,926,826,970,994,731,129,802,501,221,319,331,849,130,408,214,103,287,
015,992,080,401,353,771,093,306,598,778,341,889,096,199,207,212,216,541,896,
459,115,441,429,130,863,108,634,013,130,441,678,779,397,293,385,012,467,708,
172,235,412,432,987,029,299,361,828,131,099,843,975,708,577,161,813,060,259,
300,619,307,850,100,499,547,751,767,108,024,926,664,564,316,780,654,865,956,
479,180,026,002,512,118,630,553,876,372,547,765,250,004,277,776,065,708,867,
553,895,296,867,687,641,501,808,650,082,858,482,850,398,333,905,012,042,084,
775,140,175,521,813,888,027,965,669,043,065,417,036,157,746,540,105,979,537,
443,220,346,496,829,225,751,303,403,972,460,298,370,534,417,963,151,121,596,
876,667,577,810,117,760,735,303,958,211,526,331,294,626,710,740,681,532,564,
807,244,940,488,385,494,279,465,380,647,312,259,879,995,653,216,057,190,186,
576,272,602,584,729,993,864,471,279,409,090,004,297,148,396,844,876,796,459,
192,699,985,070,020,444,120,121,444,646,468,359,831,043,924,532,463,646,900,
109,903,704,370,796,475,242,095,080,980,707,343,036,050,218,084,769,868,473,
296,195,866,334,383,515,814,323,899,379,984,009,132,048,025,678,479,951,728,
429,151,260,358,812,512,959,756,455,249,237,443,760,465,089,238,328,361,278,
521,822,352,560,465,908,883,556,791,836,589,975,850,411,656,152,748,583,238,
235,833,332,739,072,299,659,523,416,851,256,531,220,256,195,600,286,334,158,
710,673,632,544,496,626,720,260,282,970,828,910,340,447,989,095,321,021,326,
778,594,436,180,568,251,839,132,756,009,860,181,083,190,263,282,372,215,656,
948,806,157,488,881,065,620,612,506,315,026,987,969,811,537,251,384,735,453,
358,936,714,829,418,001,359,440,413,199,478,987,400,090,882,228,310,880,338,
459,621,826,874,440,430,615,015,058,452,212,751,259,759,074,632,781,888,738,
205,189,814,421,197,192,359,102,937,171,257,870,451,476,838,196,983,175,485,
881,052,120,724,257,329,103,476,099,886,563,326,781,115,709,015,927,886,393,
256,106,794,555,748,263,244,473,478,796,248,211,847,655,146,460,749,751,865,
761,461,716,302,737,624,898,357,608,966,989,012,395,859,133,545,164,495,541,
482,382,772,320,150,685,664,514,142,631,076,436,095,725,243,102,291,097,711,
822,937,864,459,176,796,029,441,026,425,180,001,359,161,430,721,797,017,557,
330,529,210,015,533,402,797,081,581,527,401,483,732,552,897,718,311,747,731,
478,609,802,179,709,059,269,976,285,064,743,978,652,543,946,895,389,463,745,
552,106,004,928,393,261,189,868,545,269,916,781,517,485,924,479,478,967,578,
865,665,424,522,859,650,001,868,849,615,870,823,279,727,310,679,642,075,764,
705,320,960,603,130,691,748,850,874,323,972,955,558,067,707,031,816,822,541,
165,227,372,997,825,043,975,849,889,461,523,774,590,265,441,868,109,243,214,
237,650,263,661,204,918,518,592,234,761,052,977,210,501,408,199,044,788,551,
487,104,066,437,645,771,123,318,528,366,016,873,975,928,590,190,711,010,205,
697,443,857,017,415,677,134,521,381,990,342,853,389,004,761,444,658,043,999,
946,039,227,610,648,169,605,039,919,468,898,172,308,236,745,160,150,674,161,
721,517,344,709,795,987,283,630,105,007,354,323,241,368,576,469,117,483,581,
276,665,727,524,690,116,621,568,638,407,902,722,175,240,806,904,561,691,832,
885,837,167,384,110,061,708,923,256,758,194,409,870,402,622,451,221,339,380,
439,166,284,310,110,952,516,564,562,298,148,163,588,979,677,403,229,864,079,
454,169,413,695,815,438,231,658,991,387,837,494,528,055,350,094,030,051,839,
751,064,559,354,699,234,584,874,472,432,475,804,388,043,082,818,885,155,769,
990,926,439,279,038,027,135,694,719,871,217,655,255,046,293,003,451,890,166,
879,478,743,917,041,075,688,489,353,291,980,118,808,092,045,455,493,930,016,
951,781,731,362,472,196,101,084,653,222,743,028,608,232,695,584,708,670,854,
504,141,675,070,859,609,200,233,567,391,721,927,033,686,841,768,524,772,456,
716,607,508,496,509,193,556,169,416,807,849,441,351,748,729,503,712,368,767,
655,124,299,650,133,470,623,188,373,678,577,851,091,185,498,498,890,423,856,
657,338,400,949,458,131,963,250,311,431,056,997,426,120,000,638,252,075,637,
359,651,861,423,864,571,916,890,533,513,304,694,590,749,436,821,162,387,135,
756,091,081,663,849,093,753,822,628,156,554,289,955,779,350,646,564,813,723,
157,495,343,207,402,648,695,803,402,465,723,400,748,179,956,804,946,893,265,
764,353,370,002,692,421,758,415,137,666,300,518,432,660,843,851,250,285,509,
223,472,929,046,279,069,844,873,302,003,112,695,207,238,267,386,279,285,537,
455,186,736,947,734,042,202,981,951,149,437,939,781,214,901,239,298,953,019,
597,490,443,161,696,585,186,363,200,943,557,823,577,588,783,870,937,180,960,
158,693,967,953,505,521,254,051,352,578,710,553,506,868,992,439,990,859,002,
802,842,543,220,668,570,466,969,298,287,134,096,270,742,817,262,346,000,532,
397,509,195,355,854,867,210,934,835,595,801,943,869,699,998,965,328,198,015,
023,507,145,196,288,394,660,878,169,097,551,066,333,640,939,982,045,047,413,
466,800,365,606,912,626,020,989,650,733,853,870,363,133,082,171,728,418,698,
411,475,987,147,602,724,272,451,979,495,930,762,818,849,835,823,553,863,010,
303,016,615,912,623,323,798,652,034,743,064,471,480,531,192,134,959,878,495,
461,074,934,561,394,122,080,104,375,930,195,077,456,179,293,925,589,629,155,
396,741,411,431,933,824,728,720,066,806,215,922,410,803,777,387,581,105,782,
562,507,283,917,703,559,557,579,724,824,467,626,052,521,934,533,784,236,265,
826,881,054,000,479,811,550,038,889,122,156,815,364,558,124,491,148,387,686,
597,720,083,302,210,776,398,182,084,095,467,823,388,364,808,453,855,597,534,
035,592,098,454,918,873,294,084,370,328,590,001,363,790,174,879,456,710,300,
883,527,166,999,129,733,213,833,929,374,953,868,357,428,786,647,755,828,483,
435,198,410,130,489,207,433,982,527,698,200,379,087,435,625,843,817,778,697,
568,330,528,370,766,110,485,581,682,223,595,230,227,034,143,934,516,284,694,
811,117,350,870,550,431,051,649,559,012,879,553,597,231,413,454,539,846,735,
419,380,964,797,617,124,971,153,424,967,274,241,143,601,107,693,582,042,461,
899,580,858,719,904,240,729,206,080,670,615,542,741,863,429,010,323,713,664,
654,197,549,864,654,226,982,315,870,256,673,361,408,962,817,429,099,682,392,
274,503,936,285,721,373,784,047,544,394,953,781,751,467,894,573,636,370,299,
850,044,819,697,201,867,643,466,100,198,103,854,877,349,968,916,652,780,589,
591,544,136,828,322,676,367,228,516,468,859,872,137,623,610,591,960,561,705,
225,382,145,604,150,406,889,862,901,684,182,061,368,527,700,229,245,488,191,
126,272,722,242,893,700,217,767,887,708,733,549,118,120,101,554,835,677,093,
104,187,287,981,783,632,209,976,645,602,325,106,039,085,256,215,288,228,335,
107,541,451,826,747,557,491,102,334,330,339,017,969,239,226,626,316,732,018,
197,533,447,612,893,642,184,232,399,901,829,232,280,959,085,919,760,010,692,
376,074,071,832,572,061,201,541,849,821,914,016,564,768,145,858,164,016,160,
304,337,379,397,526,529,859,613,399,026,676,218,842,128,784,790,938,719,655,
765,142,075,902,353,477,800,898,919,012,359,557,952,029,283,830,105,813,303,
363,810,006,154,030,078,708,886,009,278,143,728,837,892,007,399,713,873,348,
384,412,370,767,831,294,785,434,101,721,027,888,750,592,812,214,468,422,798,
226,879,101,851,295,584,522,856,709,840,679,578,905,594,393,979,238,371,629,
354,603,728,600,028,803,766,320,898,131,643,103,300,831,836,083,025,626,301,
298,921,021,012,166,011,906,523,065,593,566,734,372,160,673,877,477,759,198,
734,658,684,778,169,034,945,488,034,987,743,819,523,213,106,474,196,621,573,
323,605,517,010,428,341,530,659,732,848,991,656,444,069,685,656,772,030,608,
603,914,006,948,173,831,093,461,626,956,241,180,540,048,394,686,783,804,976,
121,395,906,790,277,257,164,737,479,351,762,300,791,747,448,107,884,291,008,
323,122,974,104,920,203,779,708,179,850,044,521,491,079,606,536,059,938,923,
495,980,046,557,565,192,696,037,113,232,410,217,014,762,977,540,633,637,615,
379,149,507,694,224,543,953,904,451,238,110,773,543,893,891,422,924,075,756,
138,876,386,831,757,357,973,491,293,529,953,163,864,933,269,387,636,044,417,
217,123,263,346,544,170,566,395,604,906,316,413,952,252,455,786,406,729,245,
995,608,466,189,415,270,280,318,568,369,905,179,795,247,761,966,174,602,956,
831,905,019,119,927,004,355,363,767,533,367,079,943,724,029,235,619,092,889,
813,496,693,808,408,454,268,242,187,101,052,190,577,702,042,632,650,216,953,
900,848,531,135,485,087,604,982,740,572,315,879,499,935,964,709,081,668,189,
613,918,746,050,701,282,992,934,830,335,416,812,049,478,979,298,356,098,065,
550,606,026,218,203,642,677,042,763,057,583,356,832,422,814,086,639,240,412,
163,009,044,329,436,211,979,901,694,391,008,327,402,763,985,875,429,621,502,
359,026,175,646,964,155,592,684,675,558,133,763,892,610,498,669,443,778,748,
228,394,784,932,399,825,407,211,916,406,713,650,911,619,115,855,567,036,941,
401,399,178,863,677,643,372,229,569,234,231,294,102,836,386,199,457,016,808,
759,807,610,096,525,844,973,732,970,030,825,833,505,719,967,028,689,641,429,
967,279,012,122,437,006,359,741,130,945,552,446,005,727,177,723,276,993,955,
105,061,167,199,221,298,930,235,725,606,952,898,015,363,401,527,371,067,603,
933,028,852,606,688,238,463,926,282,878,522,794,337,614,451,959,959,940,139,
599,949,902,862,900,763,319,887,035,915,723,166,082,638,465,320,763,723,060,
588,433,890,430,890,697,843,937,183,489,908,331,975,366,157,479,189,027,916,
215,240,295,890,832,910,746,007,813,923,079,350,484,602,121,272,685,351,024,
174,185,741,193,818,449,013,624,517,545,389,053,670,062,633,107,632,377,144,
709,233,763,124,337,701,013,462,999,904,155,322,543,820,558,319,336,755,325,
938,394,874,707,601,698,173,778,881,522,411,320,094,370,041,586,993,594,213,
026,504,700,682,384,622,036,446,506,184,105,801,217,212,871,501,667,338,846,
154,756,592,857,339,012,108,041,108,798,175,911,648,300,124,467,188,645,235,
392,210,557,887,552,886,608,766,944,907,025,702,161,012,117,298,396,721,747,
631,908,112,408,425,799,960,099,345,852,086,961,099,716,013,181,160,431,537,
611,179,106,425,842,600,052,295,247,494,103,033,463,512,884,394,699,870,889,
595,371,987,709,754,485,607,419,457,410,669,020,476,839,462,899,537,965,897,
851,415,003,254,043,776,358,006,766,675,090,109,124,542,879,398,277,486,832,
939,877,993,675,445,674,724,447,440,472,617,060,997,098,187,152,333,424,512,
225,026,312,013,596,240,860,211,356,809,213,310,645,313,288,985,120,530,954,
573,663,702,846,994,321,496,043,619,664,930,005,305,517,517,051,552,590,334,
916,822,550,486,480,937,594,016,310,364,122,247,384,862,509,138,533,506,524,
497,410,269,087,558,662,709,039,498,493,603,145,924,711,798,527,439,331,931,
597,008,657,364,894,193,395,581,177,705,691,141,504,194,277,927,802,086,203,
082,042,305,876,678,422,779,888,237,982,438,383,220,154,987,958,284,863,196,
056,366,026,902,436,989,444,578,535,749,038,377,222,372,783,528,734,531,698,
358,639,573,201,506,738,851,249,267,517,107,866,395,934,692,909,902,964,802,
345,206,590,378,997,560,303,289,866,464,489,703,852,329,371,908,101,641,936,
270,154,831,900,993,714,146,041,933,859,882,321,523,128,674,576,211,112,291,
528,816,976,168,074,218,114,251,974,116,482,020,490,811,443,468,376,257,212,
966,976,734,269,179,124,786,070,195,993,573,915,263,132,320,455,108,692,079,
536,633,812,810,318,083,535,265,527,574,029,597,774,330,509,926,900,502,312,
443,491,129,835,351,384,925,003,999,681,636,517,252,239,560,363,708,397,822,
757,126,672,345,254,812,429,031,113,468,130,390,524,770,314,708,605,505,985,
029,661,145,490,242,557,573,499,840,703,385,100,381,049,018,184,100,673,840,
091,442,360,005,488,035,355,302,035,542,178,923,801,337,116,541,087,073,508,
891,668,167,387,493,846,277,596,812,637,258,346,861,184,224,916,426,398,840,
693,588,350,558,448,750,058,735,855,722,352,836,600,489,288,774,797,586,922,
536,466,665,716,591,948,922,859,912,013,562,995,598,965,438,645,727,610,210,
180,493,903,986,176,738,395,920,365,640,716,871,580,866,381,100,794,901,865,
742,091,040,519,225,041,599,701,250,098,248,119,871,892,106,553,582,812,056,
167,335,620,409,898,382,359,637,409,514,616,693,079,061,205,144,981,924,178,
250,065,846,721,386,597,588,333,382,828,501,898,870,399,590,224,173,062,476,
812,241,595,388,983,556,299,236,081,683,348,361,747,805,078,965,079,669,006,
367,259,779,349,334,989,057,197,635,126,299,995,921,170,873,491,669,954,083,
937,032,794,032,438,998,541,575,506,283,659,344,621,541,059,428,605,432,613,
195,392,590,189,993,067,844,139,576,362,678,029,127,242,457,226,504,042,755,
403,809,340,380,967,768,230,488,039,979,755,653,375,707,537,593,894,014,559,
244,579,684,278,675,755,816,839,242,348,222,226,362,353,242,465,141,334,623,
894,265,727,776,016,690,907,943,569,249,777,149,876,307,810,913,061,595,305,
482,717,851,611,404,595,483,614,997,557,581,679,635,655,237,721,026,814,250,
436,737,631,913,216,152,853,576,417,048,480,843,767,414,253,356,722,461,927,
578,446,132,732,543,147,370,956,078,403,518,114,812,231,007,283,773,243,635,
028,177,775,354,190,282,697,208,906,076,767,058,683,694,854,034,323,106,445,
040,492,331,475,902,497,372,283,844,864,792,212,583,789,084,273,449,160,187,
031,478,445,229,430,833,382,588,484,000,485,755,035,114,080,776,861,656,391,
265,067,405,946,132,405,833,501,618,201,384,461,742,831,030,977,648,188,963,
050,525,892,650,114,580,023,414,476,250,562,981,843,985,538,673,393,496,390,
671,474,185,694,394,220,272,174,230,725,462,047,253,872,119,129,637,310,449,
713,775,115,232,294,390,004,101,635,900,775,152,886,851,777,247,886,228,765,
490,284,419,371,766,825,850,821,037,563,091,187,533,665,005,423,223,608,008,
300,842,761,340,664,682,949,305,190,974,791,686,974,915,962,601,507,383,789,
578,206,265,950,553,888,283,608,478,740,209,638,281,707,632,258,959,483,587,
641,357,694,270,471,128,246,043,521,126,304,534,322,359,194,503,720,288,713,
672,689,593,007,734,766,997,688,198,509,589,699,514,893,994,657,873,266,991,
739,539,857,601,369,984,910,140,437,949,753,376,852,005,804,413,157,511,414,
327,005,842,386,140,294,862,205,610,506,950,132,612,462,265,932,106,874,885,
667,127,959,377,266,626,894,789,720,850,388,104,811,813,354,221,822,639,768,
146,071,887,386,123,687,074,377,671,769,025,991,504,662,535,911,951,010,239,
087,558,192,796,173,548,321,261,784,333,483,576,206,805,173,629,392,877,188,
812,908,014,881,473,310,175,422,588,127,172,168,055,005,669,227,840,115,153,
807,663,540,262,584,431,012,412,733,373,981,107,392,608,179,030,372,959,939,
649,715,265,004,340,000,738,612,464,872,473,452,730,499,797,585,175,810,045,
446,023,009,855,530,688,906,671,655,198,508,940,832,947,704,725,023,385,160,
251,187,465,902,482,336,972,364,505,808,258,845,040,007,735,036,672,712,949,
770,472,866,169,375,729,669,446,568,957,253,374,961,424,967,810,888,589,256,
968,147,776,570,576,089,521,053,438,720,476,284,610,570,980,107,641,959,028,
975,846,052,103,006,118,745,530,869,383,711,577,894,240,978,284,443,895,007,
522,122,396,066,901,628,019,039,916,718,961,040,263,853,173,969,587,850,286,
809,170,872,513,142,545,606,843,775,103,599,697,005,491,462,154,400,238,441,
333,945,427,310,944,060,650,062,456,945,655,323,993,045,652,261,993,133,409,
311,971,643,519,694,579,195,502,969,937,700,686,325,463,772,805,099,041,134,
160,703,193,313,711,265,777,590,975,250,884,933,239,804,138,754,059,224,667,
750,819,725,500,325,500,242,373,455,646,934,592,977,075,354,952,622,204,309,
310,729,112,001,101,892,114,113,403,859,844,501,186,097,544,706,689,870,302,
454,000,518,344,968,224,471,053,474,909,391,530,760,017,528,272,275,194,864,
853,959,844,867,200,557,893,835,411,913,581,624,550,670,731,186,668,786,491,
507,181,392,630,081,945,499,008,323,703,743,162,053,906,459,298,307,220,978,
729,269,736,877,209,739,020,452,969,192,853,432,484,000,138,332,276,278,623,
467,711,328,978,758,234,364,183,633,649,940,587,742,218,687,928,564,487,564,
771,399,022,052,657,144,904,184,024,927,282,427,059,915,060,623,740,173,581,
750,710,152,507,725,206,427,067,952,274,161,406,106,211,538,629,411,083,886,
754,675,821,645,414,794,010,808,257,334,541,402,879,801,891,869,604,374,500,
277,990,897,759,643,042,513,873,805,763,125,222,906,199,006,380,554,649,476,
679,601,167,363,182,866,289,984,570,628,306,202,355,067,769,671,519,813,972,
766,924,724,075,781,520,467,943,750,153,296,563,164,288,453,088,658,932,866,
648,645,338,115,905,360,150,794,522,871,415,153,493,631,346,576,729,713,078,
073,843,250,960,626,151,987,385,442,207,662,103,907,709,967,551,312,436,860,
116,214,543,688,011,563,152,480,304,241,118,774,276,670,298,842,740,254,388,
750,533,849,921,301,281,385,609,787,161,326,392,732,768,119,054,291,514,619,
305,879,088,347,266,591,874,415,909,823,781,468,115,034,590,825,955,081,680,
339,953,138,613,500,384,629,078,206,019,474,588,159,608,776,969,443,925,297,
260,547,061,656,746,047,386,627,277,366,288,511,599,905,487,221,818,463,726,
484,466,959,773,541,614,299,987,040,038,990,107,747,427,153,762,289,635,168,
310,341,206,670,311,930,400,167,221,036,146,808,328,878,010,703,495,876,267,
111,514,885,385,631,263,522,086,078,934,441,852,678,317,659,143,016,032,744,
290,067,651,561,417,629,254,024,577,107,755,410,028,365,613,781,824,206,455,
517,325,063,705,416,201,016,822,395,010,242,485,254,100,644,282,555,648,170,
318,578,781,536,234,887,898,430,124,346,486,988,132,698,951,154,142,753,531,
765,041,264,838,461,083,423,524,179,959,995,671,489,936,543,474,516,116,528,
418,440,784,151,984,650,601,381,261,359,414,763,382,150,245,781,374,178,049,
670,827,078,091,577,715,099,085,651,678,771,982,862,332,414,088,011,908,699,
889,994,836,133,643,355,915,387,702,383,296,793,507,468,635,072,855,915,630,
227,515,659,250,750,742,653,665,006,713,070,933,566,253,375,216,728,461,375,
521,608,629,435,210,238,611,371,675,814,933,151,806,277,543,659,126,063,227,
471,509,662,184,161,250,523,943,465,945,949,917,024,165,142,161,298,565,356,
453,398,949,387,567,786,052,878,933,310,015,821,163,466,849,590,127,236,136,
984,648,291,448,597,484,683,591,682,519,420,037,330,919,085,788,359,881,734,
451,846,203,873,220,074,810,263,036,164,339,134,161,954,684,828,649,046,052,
470,849,167,517,201,406,154,630,907,001,187,606,793,534,619,247,417,971,716,
409,651,765,795,171,761,729,086,326,364,165,026,646,876,323,401,720,440,980,
533,635,255,460,549,338,547,866,673,693,024,130,798,800,202,143,257,287,120,
223,170,286,998,591,547,483,146,211,389,414,860,824,422,909,685,763,422,896,
344,134,013,340,348,749,750,562,716,581,311,497,916,536,850,192,125,600,378,
525,100,227,110,892,974,257,771,024,021,135,368,285,399,659,693,713,003,896,
037,988,779,382,408,813,739,416,825,918,170,317,385,218,630,570,670,600,492,
069,562,753,061,750,101,878,656,394,210,131,895,194,172,443,236,729,344,148,
095,559,876,774,343,023,165,701,613,860,628,312,406,710,419,049,528,164,836,
461,392,341,709,506,974,351,248,111,129,686,467,857,254,796,247,946,312,484,
596,783,536,049,480,864,360,941,100,046,192,068,700,186,142,828,753,699,082,
630,451,373,309,786,708,981,379,805,274,028,307,309,169,967,391,250,595,587,
708,118,747,284,943,254,450,419,230,387,873,241,274,320,683,685,616,490,629,
684,197,526,953,764,373,245,774,526,304,112,954,775,176,849,540,253,733,759,
933,624,699,879,340,291,099,589,756,205,435,401,359,761,947,752,936,275,707,
380,602,208,617,572,534,773,363,471,208,929,148,606,983,060,715,711,590,906,
909,613,389,397,163,738,735,379,519,410,220,668,354,797,829,959,098,076,870,
079,778,548,389,847,744,800,108,475,177,752,205,246,279,526,384,381,512,486,
424,361,132,120,989,600,645,583,583,732,308,256,506,431,137,554,734,125,631,
463,614,423,317,898,309,818,123,150,293,258,374,579,780,485,816,556,044,243,
104,069,223,580,899,920,188,064,325,322,852,857,391,841,126,179,821,216,039,
186,151,508,945,786,182,045,267,728,066,514,687,910,435,962,271,589,654,484,
749,809,567,394,534,096,851,035,335,224,668,903,403,392,272,787,327,798,722,
706,684,701,247,733,598,196,904,328,636,958,655,428,021,335,882,522,964,162,
166,306,036,607,409,404,756,134,624,128,504,933,486,671,060,655,910,712,141,
343,175,944,522,303,401,127,858,265,004,510,134,010,918,017,934,462,272,222,
660,887,825,588,779,423,137,797,963,850,282,222,067,585,841,554,383,426,947,
358,424,366,295,719,860,911,910,950,845,181,270,498,464,479,644,851,404,122,
489,148,505,781,141,822,224,591,885,555,312,655,325,059,673,323,844,460,549,
232,096,817,078,400,212,309,830,925,427,110,938,654,722,378,378,114,666,622,
273,819,561,714,332,427,553,453,217,689,216,751,689,401,826,308,755,495,608,
830,466,264,756,736,404,494,728,684,024,624,548,529,458,235,901,063,529,792,
004,767,754,175,490,112,018,065,195,545,077,732,042,440,323,245,927,599,799,
948,450,881,931,677,639,945,739,373,528,206,374,464,539,395,655,262,025,232,
337,985,790,793,556,680,134,212,366,223,195,221,219,689,358,325,316,862,220,
380,231,391,388,911,778,632,254,196,416,477,561,551,096,889,496,002,575,434,
002,941,512,316,927,549,417,202,171,494,138,883,019,294,817,988,335,221,626,
168,804,494,092,851,666,909,136,317,969,625,176,898,777,423,631,848,134,511,
516,016,273,500,347,900,750,715,310,938,912,058,007,897,181,263,844,643,995,
411,412,072,844,683,448,354,542,556,685,711,846,503,421,953,486,094,139,629,
621,728,030,205,621,406,629,501,754,577,598,040,289,261,581,314,484,590,869,
235,147,231,949,005,869,160,393,657,752,392,141,947,795,753,798,245,407,298,
212,383,741,340,697,243,960,292,502,336,333,421,030,376,140,102,831,855,702,
118,170,110,578,406,360,828,077,453,624,090,926,629,994,319,959,574,779,718,
304,135,060,782,326,084,061,135,580,118,889,097,954,865,627,900,247,324,757,
018,759,157,117,720,926,133,636,701,652,923,304,463,413,199,441,073,246,999,
203,681,940,343,467,834,192,696,682,616,989,063,559,531,862,372,326,242,439,
218,091,966,746,972,734,253,395,959,911,135,978,522,944,020,985,422,117,983,
509,891,420,680,831,238,252,997,332,627,090,664,141,470,643,479,812,063,450,
019,703,660,563,938,646,495,283,633,123,125,347,136,735,154,364,220,993,342,
247,050,578,184,243,176,159,939,883,791,917,430,878,702,345,607,304,021,716,
097,811,640,062,763,796,238,239,585,920,975,077,023,005,429,363,791,417,943,
610,990,091,528,086,357,949,934,302,682,515,033,410,846,023,273,115,646,024,
842,999,020,669,334,440,870,839,280,995,742,996,172,311,082,590,109,946,283,
128,034,756,962,999,267,717,427,845,814,998,549,852,082,464,014,769,854,136,
904,277,459,910,468,697,824,614,149,454,547,935,971,583,909,750,745,122,220,
915,700,296,648,247,940,161,465,719,166,734,413,479,169,718,058,406,207,290,
116,951,753,475,528,906,159,911,281,739,359,674,334,269,800,666,282,700,679,
583,758,161,968,950,287,562,335,862,658,160,411,885,543,881,500,148,825,548,
176,648,121,400,402,565,562,203,853,051,154,578,766,972,612,812,658,653,540,
582,564,752,522,790,788,326,379,669,879,878,448,029,206,631,713,577,878,537,
699,352,931,741,339,958,810,173,599,200,601,837,567,825,539,307,439,870,692,
363,761,172,583,364,020,403,122,617,310,246,308,751,545,940,185,670,718,203,
692,326,120,035,362,090,205,075,453,468,658,859,912,713,484,111,218,149,085,
945,201,817,554,199,758,633,235,072,533,893,299,390,654,219,619,371,061,490,
263,078,941,862,799,876,434,972,709,060,066,075,324,713,097,051,101,153,336,
368,269,087,029,822,258,983,308,580,421,473,273,705,355,920,378,261,744,322,
778,625,832,653,231,323,179,449,053,705,625,799,088,189,248,236,841,258,901,
499,164,205,788,789,195,999,680,556,640,327,646,553,489,298,846,428,469,886,
546,591,972,553,374,239,879,154,561,648,709,631,710,855,310,681,393,819,245,
643,386,790,337,147,946,183,710,243,260,940,669,690,684,555,905,206,890,751,
312,226,406,673,307,292,268,406,891,031,526,008,187,373,496,215,315,831,759,
677,325,746,470,638,466,683,806,646,701,498,735,456,606,502,627,102,027,591,
841,496,859,348,262,945,081,507,548,154,727,677,518,987,919,495,768,743,026,
670,830,411,831,214,549,799,534,965,832,559,574,063,586,676,118,544,721,661,
857,842,370,430,723,511,214,214,505,512,222,645,558,822,399,772,110,638,331,
116,760,070,598,083,320,089,040,562,920,587,950,825,623,573,232,804,511,691,
571,434,095,657,850,625,879,130,074,954,297,396,986,749,390,341,253,602,138,
635,656,147,257,027,038,453,193,409,439,648,101,895,335,975,980,722,578,239,
516,609,972,823,873,641,588,840,093,417,350,388,759,653,840,754,878,166,089,
705,517,042,930,699,188,883,869,747,532,932,958,252,933,358,863,372,731,835,
755,702,726,097,427,080,802,492,843,927,241,700,739,354,722,945,646,318,967,
401,666,430,405,606,209,098,621,864,875,978,608,168,293,911,231,953,037,065,
648,229,668,433,496,247,570,790,441,807,650,566,238,022,937,872,258,921,159,
998,948,654,522,957,794,338,487,773,843,261,731,771,840,130,210,043,698,287,
461,422,587,823,076,061,239,652,902,411,749,180,433,244,715,163,654,158,787,
412,126,914,143,857,684,955,810,980,930,077,240,706,953,045,622,160,435,793,
857,568,975,604,383,839,307,974,882,146,402,844,501,907,603,030,931,569,758,
379,400,110,100,746,635,555,888,809,391,840,973,797,200,056,573,524,842,721,
683,264,961,324,804,407,324,159,380,675,717,575,397,461,215,633,765,788,557,
060,540,937,267,020,658,284,859,207,261,604,877,500,757,949,840,228,352,231,
801,566,974,405,904,478,713,944,818,659,972,527,476,635,982,707,948,271,802,
579,185,055,930,072,039,450,740,950,713,120,106,876,615,112,134,427,560,850,
390,836,741,980,085,539,925,701,149,506,125,263,152,990,530,666,259,432,901,
046,396,743,945,813,790,383,109,536,484,746,644,132,381,882,939,752,911,821,
296,578,708,230,780,155,443,331,307,443,695,000,981,224,628,117,015,705,208,
983,290,196,509,048,563,543,145,418,128,318,219,517,552,819,088,649,136,720,
153,327,138,538,725,236,553,169,674,529,752,205,996,039,330,053,259,946,245,
572,401,397,437,402,646,184,526,793,628,721,878,610,340,132,959,988,066,799,
561,820,458,705,560,090,843,357,155,897,317,703,751,576,031,780,532,151,225,
869,090,169,235,788,035,477,082,823,930,088,030,865,495,344,888,681,350,637,
498,806,799,945,195,888,347,100,161,375,685,866,238,399,805,516,277,540,928,
236,497,021,177,379,869,006,666,346,260,337,432,402,250,672,818,061,917,493,
833,541,561,100,266,520,950,545,982,908,802,726,468,321,923,191,906,373,375,
114,686,028,070,100,371,263,042,744,739,129,872,769,633,825,907,669,508,009,
934,951,201,143,599,274,877,770,519,728,541,449,318,579,283,726,314,596,385,
644,380,881,636,175,237,044,657,562,123,506,978,328,583,922,969,124,112,758,
685,267,701,052,519,459,303,944,713,495,568,494,271,763,352,490,496,492,520,
056,551,127,832,426,001,259,651,443,821,354,523,396,267,238,475,813,849,775,
198,772,016,404,990,674,891,029,973,406,458,188,754,157,059,350,411,821,806,
498,768,017,348,300,586,684,711,144,167,875,189,275,308,705,758,946,290,234,
628,074,284,629,678,426,038,362,711,043,926,286,545,004,777,314,649,522,944,
972,602,070,031,774,994,745,593,314,423,541,904,606,613,522,151,902,254,532,
109,983,680,695,964,735,336,112,208,475,624,532,721,849,487,292,607,741,512,
236,842,394,761,647,448,329,601,522,310,133,165,365,572,099,879,331,309,568,
216,043,574,213,517,160,546,368,358,495,475,044,219,535,498,087,787,223,989,
120,412,756,322,265,300,883,924,448,210,597,560,953,905,111,999,538,414,954,
221,455,265,924,954,891,799,049,217,942,151,233,743,534,058,965,107,351,308,
721,134,258,120,931,926,851,092,206,722,542,935,016,358,894,887,726,721,039,
290,893,131,396,557,834,817,086,696,899,389,182,090,769,934,429,276,995,585,
514,234,629,569,908,463,654,662,973,692,235,038,454,424,037,666,031,360,298,
943,598,653,936,256,127,915,654,458,285,475,323,003,282,594,781,175,092,962,
085,375,497,878,665,101,436,385,545,496,546,417,393,738,835,534,626,125,354,
837,664,041,696,094,129,742,460,933,262,359,395,507,740,284,944,921,150,929,
092,985,907,117,485,146,114,392,463,190,037,953,379,923,746,636,320,730,123,
103,018,525,435,639,438,172,190,392,785,184,041,024,063,022,231,275,200,458,
677,646,369,305,089,961,493,813,251,573,955,322,389,251,356,654,203,387,880,
762,263,911,481,357,242,542,713,506,998,431,331,502,574,481,892,609,501,668,
520,611,546,922,104,019,417,556,961,577,562,515,749,821,149,474,621,337,860,
807,679,847,910,975,444,233,957,482,041,708,058,180,556,112,073,172,858,863,
804,710,991,437,566,253,484,426,268,512,910,301,327,628,148,634,944,096,834,
734,871,956,003,118,633,251,505,240,559,471,316,955,130,507,896,798,492,196,
970,509,212,850,318,133,330,029,407,136,604,126,294,312,128,971,018,465,978,
961,749,277,368,208,051,879,081,446,771,210,758,902,087,203,546,460,167,905,
107,965,996,469,399,060,419,435,458,882,640,907,515,914,195,859,506,165,467,
696,978,020,789,795,703,509,582,919,130,089,277,495,161,003,505,147,769,173,
614,800,368,939,867,607,591,760,861,331,464,860,259,300,256,509,139,477,871,
417,125,460,624,921,987,680,505,807,138,523,691,942,200,415,197,648,449,983,
453,527,727,912,021,334,196,643,813,862,398,182,159,806,290,945,838,925,753,
590,357,955,833,508,679,485,620,608,111,571,694,617,067,151,549,727,431,374,
218,653,121,424,270,201,374,078,280,640,415,923,606,706,170,250,259,732,264,
919,671,499,695,321,266,110,997,118,855,817,096,121,084,028,765,247,884,323,
699,273,350,019,272,489,315,300,617,898,357,708,481,384,548,552,780,157,288,
591,470,632,998,900,407,470,109,194,855,036,289,297,700,866,742,460,553,403,
631,057,194,396,651,308,960,630,690,925,404,979,659,030,446,810,999,551,708,
321,718,549,708,918,310,131,971,159,731,842,029,189,688,693,978,286,349,491,
630,536,161,708,052,030,564,610,969,395,465,777,984,607,745,293,039,329,213,
472,384,969,942,834,569,428,691,176,464,619,113,755,098,183,942,400,634,153,
966,693,506,173,779,697,093,425,770,725,285,916,627,781,320,550,349,737,537,
295,026,927,477,072,364,355,830,402,289,583,226,483,890,840,274,911,156,148,
538,290,565,848,136,041,924,704,495,556,313,108,359,474,941,103,676,334,775,
755,390,200,734,534,699,137,727,685,415,733,960,468,885,943,766,870,562,002,
949,920,461,595,978,277,698,062,898,587,961,319,017,557,154,029,972,923,158,
652,387,161,186,375,764,198,790,958,543,637,481,359,888,778,440,204,011,510,
982,651,710,554,207,222,733,719,804,944,457,417,693,594,857,003,140,034,840,
764,441,115,694,900,979,523,430,580,641,048,484,334,187,785,178,525,283,874,
942,191,773,184,816,447,855,173,156,032,411,890,296,712,685,751,625,298,075,
649,274,746,026,828,860,167,386,669,309,429,940,411,475,112,325,343,993,543,
851,545,615,934,967,200,957,849,547,321,532,108,773,456,915,599,296,628,156,
979,129,544,182,776,773,409,395,436,705,814,456,318,126,068,216,637,365,042,
273,338,571,918,534,587,736,217,669,755,694,913,342,171,065,085,869,690,813,
587,885,743,968,250,242,500,139,714,418,789,819,020,430,326,955,157,208,860,
366,042,380,531,531,650,732,498,423,152,932,149,293,307,426,543,535,446,013,
465,866,367,736,103,331,538,706,337,738,248,339,363,551,105,185,378,040,288,
580,523,162,048,976,164,352,432,683,486,591,564,099,889,669,586,941,065,148,
789,101,595,811,338,505,105,702,091,484,960,409,329,297,506,336,596,761,599,
937,645,735,190,605,917,837,486,636,328,661,218,751,578,228,473,007,314,885,
616,292,336,251,159,670,458,462,851,047,712,378,044,509,721,123,676,646,157,
276,222,984,545,973,609,822,099,769,864,778,503,347,366,236,414,079,712,297,
517,680,413,400,584,157,392,976,344,006,597,334,893,598,666,629,656,640,875,
769,158,918,834,180,979,011,805,045,127,432,390,822,628,271,073,141,474,979,
684,411,136,442,094,591,255,256,798,254,610,528,561,012,069,144,535,371,587,
523,638,073,731,775,520,110,346,318,628,125,164,210,892,002,288,459,205,252,
137,526,375,146,380,117,704,797,577,784,738,383,304,710,274,721,198,509,756,
654,239,161,949,333,781,069,130,887,769,986,883,864,491,227,082,501,923,119,
433,260,356,908,784,254,146,609,072,278,421,633,341,451,961,218,912,055,426,
520,391,753,331,611,053,529,659,179,008,494,988,275,201,233,030,046,435,780,
788,156,513,132,914,449,488,255,438,430,461,972,070,318,930,222,504,062,506,
982,707,227,593,647,864,372,137,699,381,793,658,988,900,532,574,698,622,222,
160,102,029,473,463,937,142,289,629,044,292,882,127,981,622,211,386,770,105,
282,409,208,443,395,611,888,172,823,140,250,953,143,771,900,181,311,539,939,
789,906,935,490,321,553,615,987,656,939,372,167,653,487,344,473,547,573,907,
337,119,364,335,012,776,810,370,311,021,406,969,499,884,573,191,743,323,261,
070,122,546,287,683,104,249,401,798,469,501,738,289,903,603,784,555,258,699,
612,801,832,671,722,431,905,713,810,493,574,667,316,275,175,861,246,901,689,
573,340,347,653,463,820,606,509,925,238,536,294,765,121,139,903,547,704,084,
063,564,289,649,386,198,201,817,728,934,166,980,194,967,633,830,993,848,318,
395,891,152,729,310,487,131,531,838,004,402,241,056,957,511,806,482,510,716,
637,235,803,627,593,786,092,521,378,452,045,209,046,589,115,686,113,887,539,
989,173,032,467,940,256,990,345,789,367,015,639,481,884,375,728,773,861,908,
497,675,337,125,003,147,834,497,121,264,815,244,922,557,400,792,051,978,319,
860,478,883,566,292,853,453,024,349,149,842,648,373,245,590,535,126,337,729,
183,024,347,042,918,795,281,604,966,250,895,765,670,044,958,993,397,796,868,
386,877,031,494,591,033,762,732,769,750,104,104,141,177,535,313,810,060,960,
799,707,199,147,915,355,697,787,999,216,883,868,052,915,231,611,694,253,271,
842,603,855,421,241,687,430,857,244,630,745,485,105,222,491,627,943,336,493,
463,307,282,812,995,331,770,269,509,311,719,595,319,850,078,128,750,220,795,
493,188,151,359,725,686,866,784,387,235,190,541,886,899,260,229,242,694,795,
653,366,220,966,668,227,630,690,096,809,599,141,907,830,939,355,345,829,370,
780,727,617,065,833,892,553,504,957,536,695,692,803,556,254,589,282,784,043,
649,945,719,984,805,331,885,065,097,021,198,409,817,550,293,824,371,378,221,
008,787,815,011,954,338,126,379,730,435,147,700,475,512,825,772,092,832,961,
284,490,068,513,614,515,417,362,451,145,180,060,113,934,629,125,456,071,031,
232,344,958,430,346,325,215,319,259,170,581,307,287,894,557,798,330,034,213,
683,863,666,408,465,919,603,443,274,089,249,292,749,863,795,484,249,954,512,
842,531,279,816,514,893,470,348,284,689,957,232,598,411,410,268,780,083,550,
423,094,197,432,717,479,746,284,325,359,269,991,249,808,928,376,170,673,180,
463,672,627,724,584,553,611,096,805,061,136,253,174,905,229,573,386,309,633,
800,821,684,672,784,043,777,544,712,688,622,127,110,989,454,034,385,543,311,
261,250,035,943,654,062,171,713,707,430,243,584,104,168,977,395,879,110,684,
915,046,202,489,502,729,498,230,002,085,340,157,181,778,647,285,347,394,119,
313,377,657,117,655,220,037,070,750,288,853,326,022,995,575,168,684,548,428,
673,543,218,354,664,449,983,388,646,550,843,707,219,773,202,646,281,450,278,
064,172,023,426,114,670,934,820,239,547,525,477,630,572,088,102,013,527,397,
804,216,839,835,665,312,504,609,246,467,698,965,755,731,866,382,017,954,639,
301,230,143,017,635,932,876,777,047,974,534,077,707,814,436,085,415,430,635,
428,131,265,749,564,784,541,931,454,072,395,846,247,033,323,335,422,017,161,
221,367,370,703,096,710,167,854,464,947,980,424,694,631,578,759,153,092,068,
304,344,180,286,485,976,434,300,231,885,636,121,118,540,046,886,786,563,264,
288,409,566,964,629,428,111,414,614,761,544,100,894,274,761,382,273,520,870,
078,344,859,921,621,801,279,793,267,174,016,787,159,336,039,962,334,251,398,
209,170,874,381,307,889,729,166,184,708,923,686,411,700,910,260,652,004,920,
798,964,693,794,791,895,093,607,940,999,344,539,399,650,968,920,232,634,609,
334,231,392,989,629,790,091,077,450,788,713,400,134,447,481,453,999,583,058,
311,509,496,921,682,293,640,922,343,237,081,310,542,117,064,715,239,033,274,
521,434,720,818,231,212,047,969,017,391,700,793,991,920,106,239,917,137,449,
034,132,985,524,257,871,845,835,483,281,234,315,858,406,308,426,619,360,105,
570,397,885,653,292,226,969,625,622,228,734,579,276,835,113,385,941,154,381,
724,386,595,192,579,429,481,731,297,778,390,380,701,687,293,733,215,497,812,
154,876,455,733,004,248,707,848,581,505,764,710,627,455,180,012,173,932,034,
364,777,632,699,072,165,307,291,952,281,308,694,810,763,079,330,049,525,110,
003,947,364,243,482,513,312,423,887,417,245,163,986,522,274,955,654,758,685,
736,049,364,482,311,752,403,590,569,552,617,752,748,499,955,215,301,854,966,
339,403,156,409,280,751,019,215,868,289,334,720,867,551,031,255,584,973,958,
725,756,432,804,304,312,328,040,512,796,191,379,789,464,666,954,068,663,617,
455,612,397,303,983,821,183,271,107,167,876,657,197,312,809,616,151,601,471,
864,628,266,631,195,707,227,002,759,119,270,785,452,156,540,787,756,431,520,
183,726,260,833,890,183,532,016,730,956,875,654,420,862,555,489,433,967,303,
388,126,041,800,456,953,911,001,689,731,222,700,189,109,489,211,532,722,998,
650,005,117,939,072,201,155,992,666,211,148,657,963,592,749,457,599,751,592,
395,860,829,499,421,777,414,923,277,371,361,324,880,169,171,874,273,525,845,
993,605,582,178,845,427,759,411,348,351,476,971,468,031,501,968,693,933,097,
418,448,801,324,235,352,620,228,994,424,052,729,929,527,368,537,134,806,154,
834,430,982,158,673,963,946,919,836,220,519,372,187,538,665,897,068,532,988,
977,521,131,880,315,810,178,250,308,083,094,413,088,375,599,564,829,435,353,
425,918,868,221,501,045,653,524,861,008,851,414,997,067,727,881,204,177,340,
209,392,555,993,198,214,258,492,065,032,361,469,534,643,494,808,877,058,926,
822,289,613,527,335,078,770,612,349,111,131,130,273,164,447,522,784,735,242,
460,786,968,938,228,021,056,367,679,101,617,498,114,493,020,455,988,800,721,
932,660,962,613,484,230,253,322,332,784,859,551,529,894,907,930,902,149,462,
014,582,928,523,063,751,040,500,942,390,075,013,588,156,078,257,639,289,265,
374,238,824,304,764,741,172,467,872,101,280,624,767,559,871,538,961,697,226,
793,793,172,781,615,081,590,484,116,458,264,952,010,856,577,490,603,306,181,
094,073,463,830,561,131,130,396,855,036,631,765,464,303,006,857,476,111,943,
438,260,574,921,296,464,348,995,893,851,054,193,189,784,742,815,734,066,395,
613,802,969,011,603,207,823,960,879,245,561,818,468,144,498,996,577,649,188,
181,368,174,934,427,787,310,335,586,620,270,782,050,463,876,033,359,635,055,
588,603,099,756,688,698,119,310,901,977,206,456,327,565,293,369,551,544,520,
682,493,565,430,486,844,422,347,955,908,730,537,571,224,896,231,244,725,580,
573,982,676,740,748,389,396,357,977,208,940,400,230,019,425,155,193,245,478,
137,849,592,786,480,769,596,308,649,360,511,003,923,006,765,833,229,848,638,
786,335,190,650,806,597,003,719,132,302,067,204,813,487,733,921,669,410,351,
360,533,569,491,957,268,084,357,281,593,086,520,535,173,927,929,376,846,024,
428,420,470,846,237,638,833,060,767,908,228,918,308,282,085,084,954,168,899,
259,395,459,382,680,890,061,028,855,986,611,468,278,858,212,726,533,999,653,
567,262,183,686,300,543,023,183,921,899,076,526,626,444,655,941,120,466,595,
623,739,545,465,760,845,472,115,396,626,789,769,124,905,213,495,534,302,702,
573,432,676,007,576,767,951,997,650,974,939,936,921,099,891,418,029,122,945,
933,543,958,951,642,392,609,685,861,586,030,765,559,340,510,297,370,860,814,
150,066,305,037,839,369,805,518,054,113,208,213,556,325,011,298,660,565,958,
785,231,219,967,042,284,500,387,389,858,398,880,920,647,990,228,971,648,368,
953,858,287,907,055,655,245,075,905,833,058,896,260,546,743,044,787,994,602,
727,180,902,924,507,552,132,128,376,516,608,293,216,416,934,250,037,805,023,
970,076,592,383,851,639,063,503,021,433,972,491,588,605,748,299,307,141,391,
926,945,308,892,789,749,789,927,395,467,879,700,411,079,452,866,692,192,767,
459,282,090,047,329,919,409,910,976,674,658,150,041,772,113,407,778,267,623,
794,779,527,574,922,380,532,387,563,149,863,119,655,657,899,416,377,268,125,
450,282,998,161,886,879,548,256,747,033,935,766,673,737,600,330,750,360,318,
801,227,019,127,456,580,803,480,895,465,274,326,407,508,458,141,629,224,138,
996,520,373,300,561,606,846,640,773,491,603,933,360,605,687,146,779,572,041,
872,563,736,231,700,303,812,061,836,822,510,493,344,302,247,632,272,059,446,
399,458,572,839,021,320,954,834,782,026,188,844,836,719,924,135,713,920,975,
505,611,511,324,635,627,351,151,059,975,175,485,019,004,580,178,888,249,114,
008,310,201,201,922,655,241,812,084,634,583,996,099,971,752,864,687,157,746,
817,307,826,424,847,657,411,167,914,960,309,622,318,455,747,064,144,454,721,
535,785,974,606,704,092,038,332,632,276,415,279,463,305,559,617,983,068,914,
240,576,313,212,721,010,074,945,777,095,316,131,551,143,509,429,186,942,293,
359,419,667,331,400,934,837,391,928,794,758,757,884,054,674,503,215,605,222,
298,425,994,457,021,156,191,702,976,215,633,914,438,431,378,261,107,626,359,
223,807,346,013,125,683,141,340,825,257,353,087,984,515,807,017,436,144,877,
574,484,336,773,814,602,590,124,181,128,613,495,584,945,541,720,306,182,004,
881,367,779,964,343,571,009,965,571,117,624,376,754,666,527,946,396,453,598,
568,498,896,701,519,711,536,591,586,437,274,904,141,393,878,568,838,790,917,
984,679,915,676,708,094,865,150,379,949,289,240,565,346,291,278,103,030,044,
559,532,126,586,963,810,036,008,019,343,864,674,719,512,336,772,651,238,412,
676,189,620,306,132,755,355,923,091,677,646,773,310,390,619,433,014,921,590,
305,395,847,981,947,677,904,342,421,894,482,770,609,696,693,551,114,641,731,
448,461,119,241,367,757,822,692,018,745,577,711,662,199,689,084,487,844,097,
329,179,843,572,184,032,529,314,485,814,096,835,863,176,327,490,994,737,244,
606,073,629,813,015,100,350,846,471,950,958,047,024,869,213,625,482,955,796,
664,746,016,888,624,543,798,300,502,782,917,159,571,280,111,374,355,108,835,
244,214,383,879,887,863,171,837,309,366,554,720,507,422,446,379,721,364,614,
709,164,179,999,190,769,188,835,715,316,231,625,780,954,248,731,268,075,115,
404,327,162,308,362,522,153,019,490,204,158,166,283,065,294,268,317,822,742,
949,677,170,218,743,644,760,268,224,332,825,573,451,558,966,275,179,436,102,
902,826,736,124,805,267,556,079,745,070,481,623,682,662,681,295,189,343,989,
585,770,192,698,428,741,843,555,599,592,481,072,444,011,677,135,043,579,183,
131,379,772,096,288,257,948,047,587,105,289,962,613,070,029,390,377,516,856,
229,368,585,408,144,340,102,195,790,332,876,638,725,079,355,117,142,149,783,
419,595,020,077,920,126,057,756,497,856,859,591,484,632,971,135,840,509,913,
442,048,578,299,475,775,260,236,040,933,099,134,620,609,219,853,080,834,781,
164,602,162,541,914,249,257,309,227,591,697,387,374,535,976,907,242,005,519,
634,470,627,358,016,776,687,940,062,390,701,257,116,182,320,208,588,094,213,
900,535,855,086,954,891,745,657,099,497,732,894,781,326,583,994,094,843,494,
428,242,696,124,465,591,962,722,826,682,824,319,925,734,891,581,972,000,159,
293,476,810,329,783,167,764,035,706,846,760,469,748,595,137,372,835,359,327,
108,916,183,699,662,474,752,208,477,267,141,688,474,166,153,884,014,654,109,
089,622,161,402,105,427,442,980,425,700,088,235,802,057,838,127,047,800,384,
037,315,142,718,081,044,810,806,939,059,616,010,730,632,627,675,572,410,241,
150,166,422,792,959,509,001,546,619,673,254,329,900,965,728,270,735,084,682,
439,395,033,786,632,246,276,687,853,373,020,797,349,840,892,164,011,429,052,
522,441,484,429,280,685,775,666,710,232,607,154,662,500,322,735,440,855,979,
794,822,590,476,962,146,902,525,334,724,854,260,761,601,721,462,709,893,846,
773,372,287,892,691,527,755,695,242,676,746,616,661,621,350,712,209,480,695,
932,750,295,641,360,578,023,249,949,552,407,631,517,226,635,548,449,163,784,
295,080,384,036,001,721,937,383,131,880,352,442,817,159,170,138,162,149,068,
353,184,189,694,698,735,170,630,407,025,491,221,135,447,102,071,924,195,127,
246,717,896,544,805,118,223,915,609,212,466,855,145,738,664,074,267,393,525,
964,836,613,064,269,637,603,364,450,736,966,314,317,262,002,107,260,837,523,
922,151,740,675,328,302,022,259,647,970,897,380,016,601,380,201,968,429,435,
516,866,676,397,852,130,600,050,076,580,597,216,911,258,298,594,423,809,462,
023,676,304,787,191,512,703,787,729,837,335,179,838,236,298,910,850,532,465,
770,059,711,468,454,257,082,550,501,307,566,667,566,379,665,940,259,407,798,
837,526,326,288,650,103,211,360,327,604,167,093,225,360,070,733,608,340,793,
751,106,472,465,486,758,289,155,577,304,621,700,938,379,759,748,331,245,289,
543,367,196,596,343,534,064,875,605,928,542,059,972,147,530,431,115,661,359,
364,722,005,040,529,737,547,487,448,746,201,364,179,832,843,030,200,575,788,
768,971,528,159,363,945,686,011,991,992,056,009,488,158,382,453,284,933,597,
615,214,930,545,075,163,688,103,644,597,240,999,911,605,964,290,122,313,724,
740,895,385,948,578,989,479,688,698,908,950,035,175,998,391,652,831,302,388,
219,242,043,366,527,221,689,703,038,284,328,341,858,844,164,748,535,274,369,
281,829,025,124,989,596,725,115,021,412,369,286,211,790,081,554,853,833,352,
684,626,842,475,907,489,068,743,463,728,500,906,891,292,330,322,748,931,911,
916,348,471,069,657,106,228,547,119,197,555,986,061,765,524,171,208,534,051,
090,145,842,768,037,357,244,413,501,874,715,625,466,807,020,634,903,681,355,
363,158,425,506,689,607,383,065,621,430,891,176,820,721,956,582,059,391,246,
619,858,089,023,432,143,575,228,361,661,592,749,365,295,922,591,761,564,165,
327,018,729,967,514,615,817,950,825,845,638,376,697,422,692,387,686,426,031,
264,442,885,699,448,790,657,202,145,941,338,466,403,113,441,554,613,931,317,
604,793,511,432,458,226,525,486,649,845,163,642,420,245,995,731,376,190,398,
746,848,632,379,185,294,142,057,957,614,483,003,860,876,091,784,163,699,748,
837,816,557,629,503,120,720,892,335,955,492,074,643,548,952,737,518,602,658,
472,315,680,639,409,562,816,234,433,415,577,597,033,969,521,701,738,570,179,
459,749,252,640,613,999,383,401,027,503,507,151,359,156,276,970,725,413,336,
625,259,805,510,490,120,969,129,126,452,495,282,603,670,896,461,061,340,475,
955,804,116,470,987,247,590,526,487,830,398,283,726,156,696,766,707,645,436,
285,273,302,988,156,079,290,665,982,484,085,816,211,313,517,526,832,174,970,
562,610,590,029,145,509,738,236,752,227,315,087,482,942,567,935,700,082,104,
778,957,204,424,483,598,969,898,164,306,822,462,955,119,773,426,766,583,584,
790,821,718,418,349,500,134,482,264,437,629,714,300,863,393,191,452,160,760,
602,391,032,592,592,839,156,886,451,216,391,159,387,425,282,093,565,013,149,
619,727,414,102,669,344,791,275,817,453,228,351,532,232,427,445,416,649,665,
707,407,031,637,919,516,389,744,233,627,822,530,115,647,261,276,899,999,571,
335,147,269,403,486,465,264,093,066,127,156,693,041,191,457,727,131,336,340,
750,613,268,843,769,163,396,494,144,919,730,433,078,356,855,657,306,220,603,
465,628,784,683,440,282,081,657,438,975,618,090,696,579,925,365,508,136,602,
245,407,131,195,607,992,235,575,923,830,818,354,663,634,188,767,167,968,097,
403,245,374,505,844,353,101,885,305,964,783,458,491,613,329,273,050,935,958,
345,381,163,748,554,750,182,214,062,497,280,137,009,001,705,048,767,388,589,
273,081,645,338,075,561,501,553,941,080,069,855,832,125,822,207,778,173,517,
441,003,542,689,066,313,788,479,492,927,042,242,313,913,764,851,352,317,579,
294,125,562,201,286,442,717,634,887,413,187,766,984,693,835,996,646,452,476,
602,460,511,974,775,802,430,531,470,135,987,786,246,264,912,595,413,725,435,
450,209,256,636,746,466,563,761,054,227,362,762,023,766,961,512,753,768,652,
681,372,960,845,477,119,655,600,571,779,442,826,924,219,416,279,542,440,235,
109,577,708,758,102,391,512,753,866,802,992,413,467,306,371,778,541,833,584,
156,272,426,469,664,429,538,638,175,443,833,263,866,764,228,791,265,917,004,
955,282,328,854,388,604,568,404,392,695,973,903,641,021,175,337,409,945,242,
319,411,707,463,616,899,408,762,658,399,325,291,904,899,452,666,489,872,602,
012,817,198,603,017,303,762,244,622,174,594,786,468,929,188,903,257,813,424,
103,980,976,285,914,248,294,541,655,315,666,692,892,958,051,367,307,230,945,
970,208,312,950,374,820,257,143,740,804,218,287,462,213,212,374,246,519,194,
440,734,804,552,942,816,728,176,657,820,000,994,889,390,535,890,287,384,980,
703,312,892,881,808,656,214,731,163,950,144,017,219,111,874,207,561,229,768,
517,982,653,115,548,996,073,915,716,384,994,339,139,522,768,515,297,947,818,
233,078,308,098,585,070,241,304,502,406,908,729,137,038,569,624,513,261,957,
886,231,377,342,005,779,705,344,021,170,496,629,915,744,000,683,046,604,062,
698,448,582,419,374,985,171,264,736,868,888,899,515,584,038,737,716,193,221,
537,452,572,861,662,134,816,517,569,844,433,626,252,983,857,072,610,635,105,
724,896,692,201,825,671,075,351,219,165,088,440,181,430,917,435,838,657,252,
911,254,972,334,599,431,333,923,576,614,715,521,805,887,226,772,962,085,546,
569,705,023,625,998,637,798,754,387,249,658,661,156,881,051,576,087,757,190,
621,964,933,271,576,447,551,596,885,757,852,660,335,698,214,126,123,546,766,
447,639,503,132,740,171,908,288,775,303,991,688,093,490,057,334,514,976,254,
984,310,251,783,572,886,416,544,038,805,372,739,901,990,484,878,792,528,099,
466,804,455,133,646,865,527,251,636,128,913,193,702,127,620,079,077,706,379,
960,414,869,936,283,092,233,310,414,530,951,118,614,725,568,098,111,475,056,
492,662,468,683,629,790,827,948,144,193,921,458,118,714,004,590,436,450,835,
449,870,668,831,905,429,080,733,297,064,264,126,562,953,236,226,741,355,975,
152,690,963,493,609,813,297,342,962,398,262,719,167,245,173,794,504,039,283,
631,738,037,552,519,956,252,090,270,973,036,120,455,038,518,703,479,449,120,
456,516,677,762,840,651,469,154,390,290,304,926,287,020,171,645,395,339,954,
430,956,305,415,195,694,892,734,902,020,305,233,942,126,279,141,148,368,013,
297,153,527,718,630,558,905,795,852,074,435,025,771,868,172,418,180,727,818,
094,451,781,779,762,300,616,170,904,964,636,312,143,002,235,641,850,982,119,
010,908,318,063,788,102,064,091,449,312,861,574,518,825,748,162,624,270,032,
390,111,053,089,098,830,989,346,341,994,678,038,892,129,136,636,653,558,811,
466,711,910,475,296,075,349,388,163,436,157,142,830,023,446,973,842,159,330,
467,324,444,527,183,424,471,451,666,903,519,257,279,809,631,500,672,349,960,
358,182,333,547,842,268,681,864,712,381,121,665,376,702,685,810,903,203,651,
957,839,387,984,061,036,818,620,890,830,847,181,945,251,408,328,946,873,760,
340,870,055,669,520,203,968,563,498,022,880,962,258,794,928,332,470,414,681,
714,352,389,525,926,032,835,437,051,604,103,926,408,703,532,947,963,372,794,
389,953,021,002,911,077,944,632,021,260,286,034,424,923,860,973,451,324,536,
192,890,817,380,936,487,654,373,373,796,274,759,268,779,219,976,819,816,017,
735,338,137,946,084,228,686,821,294,261,361,022,300,370,842,276,979,653,216,
682,968,431,570,795,459,947,171,311,750,191,719,158,965,152,572,343,589,889,
378,649,377,136,838,762,619,107,624,518,986,967,189,610,447,648,395,411,894,
007,263,791,065,296,098,587,579,337,507,948,837,936,754,031,522,071,746,191,
731,705,087,524,362,549,772,099,208,847,544,110,352,455,966,939,750,923,554,
862,324,198,082,685,649,994,652,241,108,026,763,553,377,388,446,880,690,890,
992,722,879,731,566,736,642,675,587,137,243,421,777,863,730,251,379,185,213,
260,504,491,193,507,103,337,490,607,998,841,849,402,427,685,741,569,792,774,
344,794,002,827,784,800,690,883,325,424,392,957,279,140,357,671,097,517,399,
510,247,898,929,112,486,429,880,172,910,864,395,315,745,231,361,261,133,107,
181,430,018,926,277,813,317,806,299,091,508,842,575,938,475,467,317,366,635,
129,594,537,535,128,780,011,073,206,530,623,074,927,570,614,036,251,586,313,
747,056,405,430,319,296,587,314,301,793,765,404,568,153,963,351,759,953,566,
754,484,338,046,685,693,669,145,324,656,734,866,507,380,639,966,998,915,502,
125,882,703,880,356,594,530,300,219,928,297,199,381,841,787,251,253,746,093,
839,586,364,022,807,425,907,016,303,764,936,923,883,259,596,200,725,224,688,
736,485,309,400,347,940,680,370,891,922,138,849,586,732,600,938,349,653,320,
476,357,381,460,836,041,507,657,955,439,959,315,061,924,784,933,855,881,757,
261,077,319,253,783,858,604,725,381,263,891,660,591,295,599,350,247,537,246,
997,892,243,964,589,723,285,969,772,561,203,128,962,387,666,138,378,628,264,
553,661,356,227,013,459,975,979,644,234,525,103,480,115,742,054,736,642,380,
278,314,184,848,487,743,622,813,802,297,742,869,885,216,632,821,703,770,410,
186,751,936,577,999,386,795,251,211,182,553,597,957,345,862,584,670,943,624,
844,777,406,427,301,881,106,123,718,441,630,310,084,889,432,784,044,746,660,
039,094,027,642,734,738,544,587,174,616,126,214,188,159,287,454,321,199,390,
513,426,946,927,163,175,616,146,125,161,947,436,469,573,806,539,559,423,938,
197,312,427,959,992,191,565,780,162,464,233,689,389,701,327,142,813,425,662,
912,640,552,835,600,407,752,769,822,190,417,888,033,027,247,374,104,265,010,
561,734,988,813,316,215,299,695,674,736,174,192,884,736,355,719,254,046,462,
454,620,254,508,258,791,708,372,594,472,187,398,808,477,698,508,784,385,155,
264,085,008,528,713,736,561,957,565,934,485,419,208,752,763,328,229,048,201,
271,172,785,057,187,147,573,115,989,499,311,547,451,382,815,451,700,818,132,
808,687,803,628,413,123,180,929,648,847,079,939,120,975,283,034,123,005,932,
656,270,039,797,657,356,058,248,137,728,349,064,288,680,513,356,947,506,429,
436,479,621,204,585,324,247,975,717,264,127,200,134,178,606,866,873,915,009,
115,141,076,968,712,206,861,458,198,468,464,514,888,505,075,124,964,204,963,
407,241,621,420,547,703,232,728,462,875,994,641,144,932,069,919,243,409,315,
598,214,994,241,294,220,951,862,403,883,941,306,778,101,909,163,967,693,618,
505,069,311,728,973,619,478,774,806,820,494,706,053,501,216,057,594,666,827,
058,082,483,878,846,489,426,597,985,201,412,037,915,453,767,638,488,453,493,
862,346,770,423,237,665,435,898,421,466,043,873,722,606,057,484,463,824,384,
666,916,778,337,094,282,132,176,463,080,726,351,783,655,192,154,373,220,737,
991,484,560,654,003,145,599,014,142,253,371,896,651,136,056,069,984,723,303,
210,727,379,911,473,242,547,079,766,001,612,408,011,534,367,428,605,061,926,
843,105,237,426,173,931,926,859,913,279,986,867,972,201,149,454,557,334,274,
672,306,812,312,523,706,852,846,445,230,047,558,755,009,236,379,561,821,658,
698,239,552,363,903,017,678,940,532,781,835,759,085,655,220,569,622,848,794,
120,571,489,498,948,611,156,534,965,549,799,552,197,303,772,035,980,193,601,
406,405,973,196,936,415,192,247,047,096,662,382,342,948,427,991,806,733,291,
320,997,476,248,575,508,561,393,563,212,319,324,970,214,267,789,243,246,744,
890,214,632,736,445,102,497,013,499,572,619,072,584,820,007,089,027,952,713,
581,468,087,457,839,413,342,061,476,028,397,380,616,335,824,494,542,998,778,
979,935,310,212,332,180,594,961,248,831,742,752,692,975,505,535,841,905,029,
222,745,879,865,269,732,412,266,747,713,248,294,473,649,553,896,811,649,379,
279,110,451,707,585,017,325,988,814,218,530,853,807,176,150,124,057,912,361,
182,296,477,227,173,634,703,021,840,526,914,095,215,267,686,648,973,030,076,
199,886,959,747,222,598,783,202,459,150,319,326,291,867,247,468,576,658,195,
304,805,069,092,366,627,901,193,363,609,901,509,451,363,247,208,482,099,444,
348,892,979,432,013,765,446,702,769,863,692,029,734,246,811,123,811,456,414,
080,616,020,710,646,705,839,605,838,844,566,149,307,356,843,437,048,048,687,
923,925,535,923,291,875,647,936,618,615,981,885,953,399,269,240,230,706,990,
526,069,902,322,579,613,090,031,511,393,563,105,312,989,611,056,487,058,095,
639,219,672,180,647,503,052,330,286,884,161,572,016,524,235,367,412,876,301,
457,055,286,614,829,002,036,739,617,514,695,620,688,330,218,550,199,027,470,
053,705,691,581,469,008,641,649,710,148,433,090,383,669,756,948,682,234,223,
089,757,450,120,806,821,698,615,025,223,613,735,391,727,395,723,676,428,879,
896,046,935,251,655,943,899,190,215,700,250,613,019,352,978,464,731,541,212,
509,939,473,630,294,530,892,140,870,563,777,417,472,745,054,385,565,673,152,
189,134,661,688,748,903,610,128,192,177,263,240,085,241,283,812,097,513,164,
170,921,925,381,172,233,971,152,832,332,437,291,577,430,287,043,881,688,609,
208,920,471,196,378,154,124,598,922,169,906,542,973,396,216,005,552,862,703,
441,991,148,509,839,984,676,980,731,546,237,035,658,181,791,562,363,237,538,
486,922,507,322,935,719,783,836,427,979,021,690,390,001,882,042,244,450,050,
246,940,639,829,727,179,552,490,337,715,111,103,629,636,604,037,963,835,791,
472,382,367,226,746,593,014,200,886,501,872,099,339,947,372,571,035,324,159,
634,711,004,832,030,593,583,200,026,938,531,715,971,272,257,373,321,004,042,
138,580,066,546,057,571,747,438,440,616,216,631,185,808,873,230,744,084,827,
598,304,025,041,754,242,124,601,489,692,697,369,052,986,171,188,239,493,137,
810,430,373,917,680,335,678,886,746,763,674,903,361,288,070,705,059,148,958,
673,772,099,545,749,721,574,083,768,934,494,980,619,971,428,684,191,158,001,
664,301,020,188,907,774,980,097,496,283,561,346,643,879,088,903,593,269,578,
494,224,903,566,429,832,651,402,014,360,892,372,278,383,386,283,314,187,734,
833,177,640,247,264,334,435,529,407,306,336,851,316,014,008,017,444,911,628,
548,736,217,040,662,971,520,049,317,172,845,811,863,256,259,360,783,593,271,
604,982,550,051,994,140,003,441,214,995,447,061,657,758,607,373,891,337,294,
667,146,816,328,522,545,960,283,255,361,678,163,607,815,595,340,605,346,131,
038,736,932,796,488,041,640,871,673,935,176,432,963,679,766,156,650,114,941,
574,505,297,515,573,660,187,867,615,787,894,046,040,711,471,984,124,993,391,
165,120,263,792,171,865,361,871,013,824,367,329,344,877,368,464,462,800,260,
018,490,109,519,379,209,868,957,121,104,582,562,986,673,172,028,285,756,006,
332,132,929,479,940,333,457,769,935,786,627,112,783,299,591,889,934,354,504,
795,949,792,116,226,332,729,559,217,523,919,356,632,921,532,671,021,175,818,
567,315,001,014,810,867,862,299,419,171,940,856,615,723,293,272,535,176,272,
358,315,588,529,035,615,494,646,825,857,154,495,648,721,116,220,648,844,981,
606,471,444,854,233,579,812,474,269,158,588,178,878,382,431,686,078,046,336,
106,459,837,869,121,692,876,067,762,233,230,000,166,227,623,759,117,907,160,
918,351,820,847,508,968,445,474,617,101,810,244,396,797,800,928,030,673,564,
690,043,901,521,718,117,509,787,458,943,013,334,219,719,783,768,519,270,592,
007,492,608,059,182,288,333,730,292,133,606,822,995,353,404,641,578,762,682,
347,526,037,838,601,402,312,966,201,087,956,289,267,478,864,851,285,577,599,
548,037,269,293,252,375,183,023,639,244,534,401,568,559,688,593,885,226,786,
296,312,131,720,474,648,138,716,219,073,212,577,839,352,914,973,293,620,950,
335,783,199,937,749,337,019,713,590,878,853,530,414,128,542,451,314,197,952,
893,339,088,873,390,116,348,256,175,518,575,998,625,195,179,919,346,484,320,
718,932,992,982,673,010,421,168,204,441,287,929,472,165,594,496,595,051,673,
250,495,623,267,550,558,884,761,565,127,576,850,402,215,558,344,462,466,401,
775,714,617,790,898,591,685,245,179,104,702,073,121,187,175,428,613,946,156,
599,940,272,491,327,374,284,427,940,814,405,324,620,262,510,338,018,677,639,
167,933,362,079,140,745,610,699,220,845,881,384,446,503,067,620,795,212,762,
579,620,743,495,011,319,489,173,797,707,769,334,994,951,924,084,096,716,600,
807,744,897,936,630,289,426,692,278,521,664,577,963,111,777,045,121,423,853,
208,407,954,534,595,525,156,253,937,746,259,069,818,223,566,648,781,793,326,
449,048,928,945,282,796,164,578,637,515,742,680,024,356,896,931,304,996,079,
494,546,518,070,299,235,326,052,258,644,175,447,658,972,004,166,674,239,919,
086,089,985,620,895,308,551,339,821,840,073,433,908,911,573,152,602,146,972,
221,611,428,105,294,618,502,222,782,178,610,285,624,494,691,366,342,883,507,
765,579,776,237,235,810,399,292,870,769,337,962,832,819,363,846,880,032,996,
189,798,186,162,601,454,189,690,313,242,879,967,859,986,657,973,782,199,924,
691,691,136,986,399,623,686,138,746,618,711,454,488,388,029,786,534,450,551,
944,920,860,591,922,165,068,681,604,717,830,566,619,449,160,508,375,379,573,
294,629,271,957,952,593,888,341,135,740,586,383,209,563,020,116,081,111,930,
555,338,924,415,565,816,632,457,856,374,189,884,357,507,609,979,798,753,547,
611,091,458,054,007,028,084,597,993,813,142,163,010,948,734,487,528,723,312,
588,991,244,137,301,926,512,191,633,279,445,475,960,479,750,842,326,476,997,
982,546,389,926,210,034,636,297,083,437,690,251,420,233,138,762,823,734,149,
856,028,556,184,916,222,280,955,230,704,900,375,677,591,195,145,644,651,215,
603,776,866,112,540,976,841,408,965,692,242,402,036,061,141,819,203,614,031,
477,030,647,466,266,110,601,047,194,574,230,155,807,579,062,665,803,298,519,
193,681,218,455,062,717,210,655,581,256,656,854,412,919,061,788,357,666,582,
846,335,444,629,557,222,262,305,360,172,306,831,349,544,243,418,734,009,261,
077,914,395,420,568,857,813,817,506,099,266,800,955,350,237,519,245,197,969,
370,341,810,182,965,343,925,854,401,375,489,764,071,332,900,325,045,103,165,
374,161,814,379,481,405,000,823,827,260,198,249,897,479,656,862,857,894,232,
553,946,148,182,946,840,782,246,486,963,546,811,534,953,304,781,693,780,353,
051,170,145,736,331,747,450,289,824,425,367,071,554,198,666,776,001,201,211,
830,699,258,718,764,285,040,299,755,048,823,780,699,535,272,473,459,324,262,
631,042,889,055,225,587,983,741,887,768,443,088,463,228,766,885,500,503,530,
663,165,265,555,932,901,637,301,859,786,062,502,456,737,814,769,433,986,069,
263,741,147,380,100,968,455,165,318,295,360,976,170,069,450,042,850,920,034,
700,722,909,527,474,304,125,670,432,810,833,329,043,110,266,569,292,938,852,
081,497,854,592,236,383,355,563,382,214,023,879,717,182,667,906,329,646,786,
873,307,615,457,397,169,582,482,208,864,880,810,626,629,266,646,061,650,819,
847,646,081,914,811,358,222,141,815,240,806,649,225,287,323,120,528,316,622,
093,285,552,261,052,112,090,276,391,662,790,760,240,689,121,674,362,011,527,
812,569,711,150,394,713,226,865,935,916,245,078,763,033,271,182,395,358,202,
189,240,482,958,123,128,772,854,594,573,617,039,373,084,249,285,127,595,632,
560,993,246,143,381,802,034,169,650,954,882,684,409,160,288,861,490,452,585,
310,998,290,719,144,753,823,575,009,209,519,218,518,240,703,070,538,341,150,
917,280,959,818,468,143,355,136,558,068,802,079,471,579,375,677,540,281,778,
707,151,990,486,554,250,155,565,851,326,433,288,291,292,397,631,327,127,297,
262,996,195,909,185,301,183,530,943,128,821,763,991,625,429,626,962,947,590,
727,441,683,782,541,573,765,160,014,114,954,903,329,053,334,724,436,342,210,
450,371,436,119,108,201,682,714,162,267,861,671,997,313,406,379,147,949,807,
523,519,021,416,877,968,312,249,776,164,278,409,290,073,716,865,417,516,840,
911,062,981,582,052,057,980,074,153,285,712,162,734,992,294,525,810,537,419,
124,357,244,683,119,774,743,500,806,266,746,086,311,316,023,425,669,388,735,
412,134,870,377,486,504,488,163,330,429,896,813,039,601,090,455,723,793,334,
274,192,599,667,896,378,090,374,540,279,926,727,718,138,580,715,593,754,352,
551,810,632,589,614,607,283,566,006,322,361,703,713,967,125,387,084,110,687,
660,738,054,761,169,722,561,533,648,603,523,528,444,347,457,482,410,619,964,
349,335,443,946,497,072,802,451,362,144,494,581,164,697,947,229,555,352,371,
778,705,761,087,133,033,423,308,656,061,588,750,480,574,711,748,049,673,805,
778,471,953,206,458,198,801,713,044,691,033,516,087,759,466,406,467,421,704,
813,351,949,633,172,014,431,992,836,402,321,397,799,009,290,627,417,819,942,
172,929,707,663,532,290,332,514,052,626,153,072,213,010,613,644,599,896,028,
423,694,105,904,987,453,318,477,964,227,179,626,271,844,079,317,967,616,408,
656,076,466,485,514,647,211,951,360,441,810,052,641,613,653,496,692,897,984,
449,853,210,866,523,386,891,227,926,561,519,104,216,449,127,667,069,592,160,
886,930,105,766,008,109,739,875,511,350,574,663,961,461,132,891,175,417,990,
679,594,421,802,598,273,859,677,087,643,278,484,926,886,577,082,366,705,756,
898,609,433,971,528,696,910,601,395,231,612,187,873,224,982,634,100,204,218,
999,116,750,740,403,266,659,768,446,721,550,627,401,067,769,977,158,923,032,
970,043,722,586,883,269,612,876,755,283,944,807,879,004,066,970,604,840,987,
710,955,494,861,563,135,620,077,062,050,457,648,918,382,074,048,833,132,601,
868,848,183,013,217,630,320,373,540,970,642,056,015,521,870,781,787,791,320,
573,123,305,639,642,803,484,760,791,046,725,326,355,239,972,391,970,321,023,
801,320,192,745,738,803,234,889,080,537,889,629,562,883,534,252,348,738,546,
789,294,251,437,107,717,598,719,935,016,427,191,765,062,568,158,818,335,332,
039,080,532,005,608,437,714,000,263,588,056,150,712,580,148,911,712,289,962,
241,654,159,216,857,420,516,055,758,055,488,725,257,285,243,003,264,562,537,
851,043,248,425,243,716,680,692,551,698,082,078,782,709,002,021,541,024,450,
953,641,846,588,928,634,856,936,665,100,871,583,954,263,956,866,125,775,359,
088,023,159,767,420,201,120,719,451,056,610,519,125,947,097,391,556,096,482,
646,536,806,223,866,871,276,184,265,207,608,052,728,825,299,591,893,217,553,
937,561,205,385,621,833,964,018,490,860,769,338,186,857,680,296,503,788,441,
353,192,141,529,473,824,782,089,240,631,662,661,635,615,274,130,210,615,477,
506,625,976,467,830,939,620,361,306,603,216,419,586,199,486,835,875,886,006,
181,860,730,738,722,257,624,100,032,123,266,793,716,444,889,021,383,930,648,
533,211,521,944,573,164,501,609,412,940,311,412,145,474,302,792,718,777,673,
158,470,459,466,076,774,657,206,813,032,603,754,882,086,851,774,263,830,994,
823,002,993,199,329,977,593,653,538,973,125,962,920,549,609,068,824,375,603,
685,740,830,623,184,215,297,301,459,145,400,852,560,697,398,798,501,798,072,
105,315,600,012,421,028,366,194,505,990,323,981,196,153,843,773,735,451,075,
562,144,152,251,822,326,433,718,946,741,687,914,138,671,796,597,813,525,714,
339,746,466,248,828,990,278,506,220,397,077,124,625,407,575,108,569,660,728,
667,520,455,196,714,136,968,070,638,783,905,504,935,186,446,982,783,951,471,
404,265,039,504,142,963,667,890,555,812,818,285,387,599,675,192,617,305,397,
526,806,322,249,496,076,754,819,567,248,061,392,793,502,325,175,139,278,454,
263,508,733,564,937,774,674,154,552,606,505,719,038,540,215,795,455,894,216,
035,513,454,385,222,147,912,253,696,334,106,251,324,578,128,921,588,319,442,
526,762,798,614,302,085,345,003,409,590,862,926,110,507,028,905,413,199,437,
467,644,808,653,610,170,931,334,795,472,313,488,776,570,295,976,063,774,255,
985,268,353,036,031,225,057,490,160,796,065,513,611,205,183,367,915,716,164,
733,469,786,252,218,756,761,499,726,106,176,652,193,395,240,771,631,021,935,
810,515,877,627,385,190,891,769,937,133,461,703,493,463,640,049,121,809,074,
309,285,499,734,552,559,656,871,078,709,886,930,878,599,610,702,274,440,396,
926,476,150,683,954,485,633,482,653,393,252,579,858,530,553,087,404,604,332,
179,756,985,899,464,322,039,404,822,999,797,689,312,930,017,023,075,651,662,
805,766,720,847,555,962,069,809,342,077,757,988,953,550,126,176,798,986,625,
832,401,328,933,271,346,817,452,212,471,474,632,719,601,457,636,232,618,810,
059,863,248,793,522,792,310,377,678,502,565,136,233,586,981,086,568,101,732,
856,819,005,410,493,323,760,374,637,963,205,841,022,063,019,288,417,514,806,
262,241,121,936,713,099,424,530,780,054,448,173,335,010,173,024,409,244,220,
681,236,212,525,354,721,765,032,547,329,591,750,686,328,977,214,751,250,334,
578,783,240,965,742,133,815,156,445,351,555,420,376,018,724,776,066,947,301,
956,840,524,472,335,200,620,100,915,798,488,816,986,045,460,259,788,686,091,
122,344,857,510,799,556,186,847,275,380,151,709,089,603,348,770,463,371,426,
650,394,801,280,899,394,289,190,957,301,875,301,372,653,260,049,467,307,465,
834,786,160,588,849,700,201,121,639,827,443,031,201,872,611,298,978,074,870,
573,293,665,644,766,210,918,124,345,976,650,537,588,549,109,999,455,845,917,
802,627,807,529,283,714,041,399,917,220,643,568,917,946,608,993,651,985,409,
410,394,969,811,072,269,474,176,696,084,766,795,609,032,685,324,427,182,259,
818,858,870,550,706,926,123,482,104,000,758,165,355,340,837,175,347,178,704,
136,704,214,893,847,788,321,516,373,750,704,875,583,727,750,966,794,440,574,
644,710,185,131,993,638,470,659,927,662,682,382,115,180,522,526,984,058,409,
862,182,875,891,688,165,403,859,784,541,005,810,564,822,354,075,806,572,450,
675,949,658,420,269,546,858,202,413,450,134,821,904,568,116,576,151,393,807,
601,864,683,170,932,798,173,265,695,961,006,237,192,761,365,019,307,276,216,
363,648,539,946,387,036,001,616,590,120,271,446,885,366,490,940,688,473,928,
587,077,378,508,216,354,308,001,040,779,338,896,553,601,832,527,902,224,633,
288,589,968,414,570,905,349,616,383,718,921,132,313,426,687,827,666,515,166,
869,554,183,430,791,281,201,797,519,643,860,920,164,199,192,952,217,620,945,
173,651,971,269,180,812,648,463,189,532,471,297,916,556,054,800,888,862,290,
144,418,667,408,731,781,379,594,599,754,934,375,871,501,279,477,307,203,331,
658,833,852,335,391,753,790,057,390,726,078,267,992,968,378,639,560,505,080,
378,060,515,373,181,516,707,142,634,151,202,279,572,270,225,656,178,135,076,
630,982,260,351,343,616,715,902,222,162,752,836,280,517,821,265,414,786,693,
335,650,171,436,450,450,193,944,475,996,572,326,616,765,830,931,093,675,362,
265,697,401,482,468,736,795,193,873,518,019,401,527,431,307,668,695,366,649,
089,172,053,292,716,561,212,061,714,438,188,952,436,371,939,582,145,475,227,
374,434,227,382,529,025,081,467,795,347,449,254,073,813,500,064,305,842,253,
896,770,481,858,827,174,954,066,897,951,835,515,353,608,588,845,487,835,233,
778,448,757,640,907,825,127,340,191,577,615,775,211,622,453,508,412,673,154,
909,853,252,086,927,711,302,243,878,910,034,798,371,990,237,635,507,457,860,
941,652,671,007,229,515,385,729,445,976,428,576,184,153,831,513,430,057,785,
911,168,769,785,546,513,797,295,160,634,261,973,829,745,647,287,965,455,426,
472,567,755,902,845,132,054,104,684,551,468,712,926,809,360,857,462,312,997,
365,658,966,233,875,051,106,840,308,840,011,773,548,994,082,774,650,696,672,
390,458,104,007,785,568,519,616,798,578,670,008,906,024,705,266,544,692,150,
923,191,831,869,221,090,765,835,504,707,198,677,570,093,898,442,641,460,285,
943,506,825,195,504,744,389,242,708,439,975,952,103,912,595,013,810,064,036,
404,079,115,778,091,137,195,260,960,113,538,995,828,465,968,424,847,852,077,
945,320,862,421,402,414,908,822,655,116,751,475,477,220,782,503,547,702,684,
284,180,009,203,843,121,432,832,427,527,280,627,198,371,867,219,242,778,538,
246,653,693,433,977,571,009,889,493,051,250,677,138,642,004,119,913,688,548,
294,998,714,564,790,785,402,787,874,599,699,696,559,773,135,137,980,975,408,
629,111,725,519,938,167,173,747,879,415,179,037,698,993,189,490,110,269,366,
435,640,778,731,156,886,426,084,259,241,853,318,067,985,019,305,331,307,045,
866,290,320,303,743,030,858,920,111,496,633,338,699,273,380,309,032,264,551,
608,504,596,170,203,535,212,474,431,332,319,197,512,748,700,721,996,120,724,
523,057,064,104,544,005,249,808,114,401,894,823,093,128,241,701,163,233,619,
013,503,358,988,211,849,996,818,584,321,409,394,808,204,856,334,617,128,156,
732,597,354,544,059,623,773,849,463,958,558,434,655,183,612,961,013,086,436,
908,160,168,812,495,269,151,099,605,974,763,513,498,514,790,826,806,255,652,
676,608,086,103,856,264,435,073,604,956,221,530,476,299,112,846,768,936,102,
189,566,229,661,842,418,053,302,343,013,359,406,492,642,610,846,576,606,421,
793,877,899,950,683,556,279,521,194,224,610,671,178,044,315,355,311,251,760,
843,401,002,731,878,523,548,780,994,766,241,898,356,839,528,677,137,258,572,
668,207,099,148,889,089,354,054,132,253,615,556,113,894,126,158,117,620,523,
321,330,581,551,308,387,169,733,839,001,611,947,643,201,344,361,672,909,759,
910,219,639,386,057,218,849,204,588,497,448,815,012,640,741,416,668,269,080,
077,466,915,083,389,426,975,733,303,025,928,789,180,311,833,614,629,153,868,
185,427,513,741,630,534,414,874,236,845,597,472,531,449,761,859,400,109,222,
247,102,139,774,799,825,130,725,426,431,656,978,478,725,482,394,873,052,564,
389,572,512,448,266,135,780,363,591,950,622,276,042,161,757,209,470,204,231,
587,542,058,589,072,361,090,214,256,656,737,813,349,442,974,571,926,771,301,
875,922,067,455,694,308,949,634,570,031,301,767,688,387,168,135,265,033,374,
121,135,528,358,044,935,330,568,825,980,141,054,385,445,664,137,113,062,095,
086,606,478,837,125,158,167,331,540,305,058,830,580,580,884,669,306,100,524,
859,710,431,667,994,939,091,941,789,301,863,839,966,162,531,305,217,642,082,
252,593,047,340,691,121,333,669,770,080,627,471,944,413,386,109,114,621,096,
323,263,908,679,947,887,738,164,947,162,330,937,882,401,373,121,883,382,681,
521,829,513,492,839,545,037,082,325,240,626,571,839,132,502,941,637,830,842,
807,151,660,340,139,188,275,495,023,992,593,381,422,418,393,544,368,191,694,
814,781,604,821,794,483,662,982,750,557,677,111,973,702,582,329,882,614,408,
146,360,275,999,548,806,001,458,002,580,196,701,941,855,834,467,819,504,120,
789,584,791,471,840,884,025,620,932,192,430,362,945,643,808,629,398,219,353,
436,529,259,826,266,160,608,209,245,182,798,246,600,434,823,232,904,964,147,
258,917,960,539,724,479,594,471,015,652,948,712,089,079,665,405,914,003,173,
372,348,212,069,928,178,277,880,299,941,104,101,305,639,468,853,171,518,926,
229,919,173,609,168,782,648,695,520,413,955,510,627,152,385,868,252,201,571,
396,852,000,774,376,802,803,903,199,204,927,619,043,841,231,649,518,384,557,
413,083,672,559,495,605,556,251,182,096,702,318,636,044,315,501,057,565,375,
671,284,827,859,837,137,359,350,707,706,955,563,659,518,930,450,551,387,969,
244,349,939,928,907,301,485,810,668,281,980,412,047,707,715,396,411,177,479,
875,163,949,582,804,351,826,673,356,994,826,654,711,787,935,781,954,259,679,
072,782,716,754,186,117,753,273,132,325,497,778,340,668,903,427,078,706,981,
412,077,650,344,171,091,937,465,330,613,302,862,682,579,547,481,286,897,576,
921,069,920,629,337,756,860,328,605,968,535,632,769,577,011,849,398,905,605,
750,454,305,408,162,454,699,337,435,180,060,245,843,607,229,688,199,011,093,
729,399,620,195,723,413,401,444,286,089,932,845,844,864,245,599,829,594,780,
744,685,200,768,914,328,637,875,980,325,401,877,791,186,335,149,605,699,360,
112,334,015,135,827,429,942,459,486,695,089,329,091,658,115,888,946,930,693,
952,343,779,973,151,720,443,520,041,426,465,338,908,482,210,358,266,707,261,
299,247,755,089,386,713,292,275,393,935,844,911,678,642,479,555,352,667,230,
977,508,667,360,796,624,381,913,218,444,164,549,679,945,177,992,080,192,133,
756,322,998,435,518,738,269,221,736,541,087,235,752,837,388,578,757,748,527,
267,135,803,868,180,682,014,221,168,855,629,740,078,016,152,141,028,308,327,
951,014,174,484,644,004,868,735,747,716,363,526,861,682,695,094,897,819,759,
566,000,335,278,617,268,540,026,668,250,769,430,201,947,253,898,308,396,570,
858,373,601,916,877,173,048,487,124,839,835,942,051,258,262,770,218,827,498,
319,630,147,962,826,350,761,716,432,969,104,747,411,423,240,746,905,888,453,
324,700,988,071,029,661,350,042,313,475,649,953,371,569,470,239,316,457,448,
231,420,887,431,450,738,826,194,344,255,117,682,961,288,698,462,514,774,910,
868,492,917,379,822,234,555,927,373,834,316,466,294,648,350,339,370,854,697,
997,321,104,780,434,449,371,553,982,156,873,305,962,971,926,815,731,614,752,
773,111,397,612,153,204,461,224,866,991,633,122,587,171,598,501,205,039,650,
423,358,903,358,826,219,757,649,270,424,883,394,246,113,627,160,946,827,943,
871,373,586,632,028,434,534,025,134,174,024,642,580,638,166,287,086,315,331,
993,021,144,569,776,988,646,960,521,510,682,446,055,740,625,693,421,452,141,
504,152,173,334,803,014,677,568,003,817,057,912,064,804,372,798,646,173,720,
418,651,856,986,238,652,043,931,271,530,769,801,916,152,979,326,743,225,918,
249,216,024,534,837,296,986,750,622,401,512,073,987,486,412,810,937,022,913,
630,498,821,807,410,201,691,603,421,727,976,383,843,376,976,771,973,116,948,
776,108,325,790,918,962,525,592,109,751,304,706,882,405,614,887,872,066,099,
672,964,020,606,915,766,234,300,341,235,430,986,783,474,283,312,315,898,102,
635,321,885,817,547,893,407,318,156,840,680,917,623,270,582,249,646,083,396,
368,229,354,443,211,683,360,089,713,542,843,380,552,660,549,364,156,349,169,
166,970,097,510,644,353,911,373,767,450,783,261,179,087,261,824,270,194,268,
995,769,346,747,592,552,562,975,215,887,940,832,619,860,654,695,486,548,714,
394,171,526,206,310,729,932,382,426,914,291,002,673,711,904,389,462,055,819,
013,807,998,604,980,995,156,312,451,279,866,914,791,557,373,975,418,453,244,
610,655,295,018,533,883,519,235,318,465,721,702,696,538,550,790,357,857,182,
837,445,893,448,472,576,932,299,805,468,720,370,295,705,077,961,024,289,390,
046,512,520,188,600,059,340,246,139,684,830,093,702,857,512,229,695,695,886,
626,193,970,851,530,962,777,925,460,689,613,311,435,749,470,580,025,627,936,
769,193,540,699,881,683,944,234,141,428,477,678,852,016,884,667,675,355,912,
353,745,907,140,173,731,475,506,253,305,356,569,863,490,671,041,931,028,840,
318,650,461,547,749,975,216,431,134,849,561,005,516,464,885,585,427,138,231,
117,924,384,621,020,520,431,002,602,771,648,736,529,591,514,120,233,756,530,
864,417,829,148,221,645,184,096,997,860,369,602,664,266,712,417,690,563,382,
036,390,901,851,587,155,224,661,928,885,516,677,406,608,370,133,793,262,495,
227,220,696,909,918,580,296,577,172,273,715,795,196,840,837,739,097,722,157,
352,797,397,472,119,052,175,609,378,625,284,281,653,570,140,637,279,960,281,
919,166,928,984,477,779,810,969,564,585,006,353,537,643,397,854,991,361,179,
870,287,751,994,392,223,531,156,430,830,454,283,643,482,283,397,127,429,564,
097,032,036,455,369,474,184,147,112,752,568,771,371,638,277,107,864,302,131,
689,519,742,408,273,188,798,463,814,579,132,039,088,076,914,136,636,381,578,
363,938,758,157,536,650,621,380,324,155,397,699,934,943,582,792,228,441,424,
039,581,700,077,974,700,465,330,625,097,721,882,095,643,652,091,838,445,918,
648,184,602,984,786,691,239,929,273,749,777,353,142,482,380,366,359,787,139,
207,170,262,077,001,033,476,827,666,381,641,772,283,839,085,660,203,182,062,
382,629,106,614,661,210,207,009,862,738,827,020,678,004,915,822,891,173,490,
668,268,443,178,502,315,141,709,974,148,672,902,235,006,173,532,507,116,080,
510,866,402,557,467,166,184,067,582,956,156,198,447,236,620,002,410,730,938,
513,618,518,022,417,218,737,685,580,711,666,386,325,362,548,018,760,348,954,
836,656,606,811,255,861,379,937,018,682,801,156,914,974,580,227,384,060,203,
327,890,216,514,538,213,617,429,437,306,697,953,472,119,559,586,782,155,509,
167,670,637,751,204,867,720,320,923,608,130,809,248,210,093,034,420,730,015,
331,489,367,704,586,168,696,882,619,449,312,343,416,146,757,982,166,579,986,
589,730,327,555,660,265,897,588,470,342,214,102,367,980,049,118,263,416,516,
554,375,991,237,660,430,970,216,572,520,150,035,545,713,658,687,530,114,444,
902,029,142,632,001,188,506,362,689,926,266,646,666,429,662,813,977,504,579,
257,596,076,405,148,909,249,304,076,318,833,767,953,098,885,198,147,180,875,
145,344,846,426,807,017,153,286,491,724,808,092,721,508,356,171,194,893,699,
952,315,088,674,872,925,012,390,335,058,463,407,442,565,806,388,641,403,412,
843,330,418,488,390,545,028,946,006,640,761,732,528,112,287,517,512,609,477,
676,843,732,134,571,304,521,872,557,042,596,809,681,372,550,984,492,882,424,
580,835,231,406,373,189,876,444,477,331,372,024,868,883,685,716,873,779,163,
738,970,545,525,144,564,554,947,512,269,784,890,461,735,486,095,855,686,986,
461,893,006,280,773,339,249,554,693,101,936,830,059,378,187,200,278,401,253,
325,036,889,368,714,751,856,377,883,014,870,911,622,962,749,406,643,471,236,
863,766,938,617,763,258,363,752,755,085,565,350,169,360,194,208,960,531,473,
647,329,273,060,985,355,555,548,913,159,177,641,307,032,478,469,646,806,573,
532,279,534,209,797,804,617,531,408,312,876,394,448,134,772,010,361,749,884,
532,139,866,867,247,391,506,899,790,407,002,181,340,887,772,842,778,860,422,
083,136,945,087,285,366,391,120,711,156,844,489,416,445,209,780,075,221,625,
633,907,754,874,924,062,199,773,600,032,850,671,676,179,162,034,351,109,354,
335,773,598,131,867,878,847,673,509,831,545,103,579,741,365,856,654,204,247,
303,647,398,529,936,126,874,388,466,922,680,778,691,512,505,556,166,867,491,
578,113,387,462,045,957,988,187,384,098,721,650,745,876,654,166,630,187,846,
303,378,440,950,025,039,906,965,097,122,937,212,255,076,477,187,199,760,839,
873,982,144,246,010,402,048,420,577,732,916,045,856,506,200,346,031,652,787,
875,904,908,449,436,480,608,714,365,483,555,934,804,436,137,042,854,033,061,
051,210,589,281,308,268,845,225,204,806,746,725,599,629,902,856,840,815,869,
981,239,206,466,334,373,744,065,525,952,801,602,553,301,709,703,284,537,940,
380,515,341,740,839,530,848,532,983,213,052,482,929,009,459,164,670,010,675,
186,762,173,582,208,677,355,622,320,863,789,455,007,698,000,896,796,578,210,
119,674,374,006,580,318,088,417,114,785,467,119,553,794,127,371,095,394,227,
630,997,059,030,973,912,832,853,141,545,219,908,544,721,088,405,690,370,861,
886,630,645,154,327,434,775,816,320,510,471,944,637,892,082,405,852,574,699,
920,930,471,309,945,631,007,660,998,483,305,362,361,528,316,349,841,519,233,
639,304,106,118,398,599,667,363,046,213,837,663,689,493,751,046,586,401,169,
990,968,116,326,208,869,583,232,062,214,235,223,106,953,024,236,602,125,275,
808,709,382,207,932,926,341,153,322,008,292,729,068,448,295,884,425,002,577,
147,575,680,682,414,685,810,846,904,425,115,368,487,264,055,086,130,733,761,
197,114,435,989,527,424,558,746,250,002,253,198,053,019,151,891,346,986,241,
132,569,721,878,770,014,311,197,648,658,022,865,381,216,009,950,560,736,543,
342,657,610,464,741,452,795,644,400,578,400,857,493,032,305,009,106,890,173,
347,966,144,516,587,502,061,510,271,214,367,036,796,138,111,822,773,989,701,
754,089,942,828,818,145,899,621,349,936,764,023,908,978,520,870,951,021,177,
931,351,418,502,452,746,706,319,248,836,960,639,893,393,365,321,626,300,209,
853,030,298,003,543,712,478,001,347,326,510,013,199,078,681,712,321,825,463,
566,523,316,971,001,865,911,598,082,005,517,225,212,772,397,467,329,130,699,
231,837,321,879,268,535,898,813,246,683,638,903,380,413,934,429,707,229,347,
229,620,015,329,982,498,302,119,333,993,376,482,306,614,568,900,308,761,445,
263,831,187,175,975,773,326,838,377,008,450,743,750,978,274,885,836,832,000,
780,137,722,642,469,645,335,601,442,306,955,465,574,309,157,945,160,193,424,
367,424,783,028,233,085,642,569,288,758,666,890,345,005,735,892,994,946,732,
273,412,391,936,809,184,284,205,091,896,251,288,416,087,992,090,736,261,821,
059,419,358,842,209,110,841,500,133,710,114,872,981,484,486,808,180,434,116,
916,644,169,908,564,134,858,260,677,920,940,345,578,734,915,259,951,269,982,
717,503,617,944,058,327,445,246,756,242,925,821,817,489,775,454,713,281,397,
335,550,722,518,298,551,061,864,768,656,894,789,360,541,715,759,759,194,413,
270,515,645,432,675,670,883,688,374,952,344,160,326,333,580,897,646,031,978,
820,190,055,129,498,435,548,223,165,247,585,233,992,759,749,366,885,349,007,
552,805,269,528,601,777,889,385,432,109,091,388,145,693,403,336,856,937,164,
344,607,165,902,121,346,779,205,682,823,837,633,414,672,007,418,878,230,856,
033,963,290,116,597,994,481,776,961,999,266,479,714,347,475,879,047,072,713,
714,870,603,623,272,585,595,013,225,751,078,107,713,781,046,725,321,557,055,
276,575,434,582,624,255,829,916,218,880,904,563,979,364,227,163,001,632,780,
899,547,932,365,561,729,733,839,956,071,091,754,142,245,213,996,729,238,647,
659,519,220,433,827,687,488,640,379,222,407,768,441,896,366,922,796,690,295,
126,926,380,961,253,197,022,458,316,162,834,801,502,792,270,163,528,664,150,
891,800,211,335,357,099,242,841,115,387,661,137,242,344,731,170,847,485,000,
171,022,753,343,815,177,803,388,516,837,379,175,825,295,577,840,875,920,438,
265,786,910,345,543,138,072,510,696,341,879,493,285,493,279,894,315,711,978,
576,824,841,918,411,017,382,352,510,184,936,590,697,647,291,327,281,304,831,
355,454,417,438,747,960,288,926,759,389,179,828,979,952,856,507,749,200,260,
350,389,432,818,701,486,040,664,213,860,427,357,865,996,698,554,378,661,152,
930,542,559,320,151,735,763,324,009,051,617,784,347,560,287,479,386,458,695,
459,074,634,901,649,932,893,663,781,761,904,962,353,150,444,516,494,097,805,
711,215,745,909,184,260,228,213,781,309,161,905,831,071,195,814,050,444,060,
599,849,047,158,176,716,127,805,283,036,365,424,740,078,463,621,977,722,598,
915,499,397,222,316,809,471,601,107,709,506,619,062,835,393,702,734,425,819,
982,190,004,706,141,837,795,214,437,067,834,697,846,464,348,007,304,931,499,
986,651,223,549,513,162,260,541,799,862,426,521,388,859,923,402,366,945,889,
064,104,431,230,293,575,991,558,087,416,211,949,155,532,694,520,334,127,108,
253,073,805,220,136,936,731,543,457,724,587,147,841,297,547,687,775,023,641,
150,533,855,008,138,451,655,897,069,967,504,626,840,700,154,100,045,265,744,
216,392,331,047,232,225,607,533,532,095,994,758,988,055,204,616,432,651,265,
133,165,183,192,832,356,512,402,829,336,194,253,791,452,129,147,326,208,440,
855,363,425,877,130,891,270,691,781,827,000,905,170,661,479,725,801,104,406,
022,552,667,305,853,390,108,827,834,124,422,896,130,416,573,301,590,643,432,
441,051,605,387,169,476,720,395,554,906,495,684,222,109,413,138,805,952,414,
508,060,424,224,099,927,083,079,660,140,739,463,175,512,095,076,289,092,877,
838,369,656,585,017,809,403,642,315,090,721,672,865,602,074,066,236,590,733,
410,076,234,138,968,421,895,781,286,136,516,314,963,746,884,098,991,291,223,
082,915,390,495,003,787,356,437,496,626,400,815,625,992,559,496,193,879,126,
717,087,996,479,289,157,114,074,636,105,912,500,598,126,908,557,761,738,853,
385,643,965,345,005,972,831,598,780,444,573,544,014,784,373,794,884,388,758,
990,327,213,753,492,421,245,978,477,602,180,307,019,453,254,765,504,816,566,
968,886,840,676,546,134,794,644,075,623,655,940,514,914,993,986,653,273,975,
647,059,497,998,596,279,340,238,820,872,418,778,774,865,239,940,578,704,836,
868,278,478,246,837,116,732,038,644,969,338,103,190,678,049,670,390,605,391,
391,930,176,407,282,355,492,926,438,205,897,893,572,084,614,605,513,967,261,
035,438,506,479,999,310,547,675,764,592,743,002,955,455,855,121,316,468,996,
928,635,669,131,896,782,216,341,209,536,589,667,922,192,659,223,745,910,203,
286,997,110,958,123,100,141,715,809,034,389,292,096,414,541,137,855,481,688,
999,886,637,789,783,606,406,306,299,894,238,448,732,135,391,299,335,372,427,
239,152,306,592,002,206,047,409,371,509,382,568,671,530,728,321,652,463,232,
768,912,266,907,486,230,309,907,942,662,178,621,642,376,261,696,470,697,140,
591,721,871,479,925,807,423,472,376,395,638,793,957,011,409,496,732,201,246,
687,223,660,508,038,448,453,432,221,019,615,892,601,499,986,990,991,047,312,
393,185,375,401,603,401,408,493,265,486,459,498,711,006,419,107,348,320,178,
560,973,144,835,849,444,586,741,021,841,104,665,875,418,430,154,691,360,752,
431,326,852,060,020,989,720,923,269,254,956,210,033,361,964,114,303,856,372,
724,000,988,441,694,108,032,544,559,750,186,545,795,237,906,205,431,908,701,
193,753,726,139,861,618,569,554,377,817,200,227,920,491,669,391,363,451,846,
425,493,003,828,270,230,334,682,926,241,750,845,941,139,589,887,133,285,768,
089,340,385,375,476,246,318,638,875,983,020,163,253,405,710,743,584,578,899,
302,561,465,294,286,653,910,724,854,521,571,277,322,169,240,458,751,742,460,
715,204,535,450,538,891,267,732,978,502,447,328,076,550,989,665,783,639,028,
507,306,579,274,473,021,445,558,077,491,420,179,247,240,136,959,292,768,076,
230,188,172,963,044,671,190,379,935,118,042,122,886,843,745,245,196,213,082,
886,370,430,040,810,740,249,776,795,850,728,033,959,154,111,654,201,672,027,
763,891,107,242,381,882,285,592,730,410,440,006,489,836,164,154,253,598,617,
042,057,547,335,550,226,274,269,264,411,376,910,934,089,406,837,475,985,052,
949,245,863,473,236,274,957,251,157,375,516,099,620,917,890,390,610,161,852,
440,629,216,353,754,378,080,135,508,310,883,147,525,278,238,566,073,656,134,
261,973,762,304,914,906,466,319,828,084,720,423,944,657,321,464,426,968,660,
818,516,297,911,087,745,740,578,113,301,037,102,806,023,865,816,152,051,066,
144,868,657,370,269,375,403,681,457,194,702,666,857,951,566,882,587,728,717,
138,760,653,474,432,747,421,137,779,882,348,211,198,347,435,185,804,246,603,
324,813,490,492,309,488,833,797,443,018,121,423,164,482,078,949,588,410,827,
388,096,487,593,896,103,958,219,404,269,232,607,583,455,202,299,765,839,229,
457,269,802,888,618,948,395,097,052,550,460,771,413,084,461,136,721,565,612,
653,034,912,710,127,961,120,186,471,669,955,016,977,668,063,969,707,086,437,
874,356,806,589,255,694,271,895,110,290,785,660,434,396,861,471,257,197,960,
346,679,946,237,565,127,384,215,385,357,638,620,228,135,485,375,758,109,295,
943,387,367,663,589,323,554,617,678,128,915,340,728,355,258,919,147,596,622,
054,053,441,539,773,538,973,068,061,639,134,468,642,511,129,918,221,625,993,
337,737,379,133,905,997,972,883,674,528,581,742,907,346,653,379,752,911,879,
251,406,285,728,009,307,790,523,841,624,013,005,830,865,627,162,256,110,749,
559,644,428,293,374,473,805,129,244,900,951,371,134,692,617,959,563,145,362,
284,008,993,713,818,321,526,197,690,258,312,012,966,691,835,139,480,696,533,
105,954,306,866,109,954,739,021,738,653,088,248,306,644,423,809,302,322,020,
736,989,854,752,226,044,467,600,005,117,772,771,289,537,826,748,613,373,442,
422,986,794,043,814,794,829,982,880,009,728,968,467,162,514,359,299,728,208,
218,618,360,424,995,553,488,781,005,525,574,408,694,153,642,253,869,398,980,
979,149,289,095,765,412,711,867,015,099,908,907,719,393,786,634,138,599,892,
316,690,229,590,901,089,189,730,953,059,392,522,981,989,932,504,295,878,682,
765,147,226,202,369,231,355,823,458,605,366,860,463,874,728,563,075,012,220,
766,610,427,696,573,715,129,662,391,190,939,684,201,551,012,664,595,753,373,
994,509,107,817,324,723,296,303,263,343,323,587,343,952,686,776,154,074,562,
750,553,575,173,463,272,212,013,973,553,872,149,091,941,715,507,424,205,014,
741,395,266,992,012,114,447,585,481,393,425,704,891,530,988,384,015,634,805,
404,014,378,839,868,523,178,627,040,354,972,046,663,994,020,665,040,963,878,
334,897,220,280,098,544,954,766,354,903,410,793,684,095,394,959,989,034,953,
202,033,331,496,476,118,959,377,203,575,194,375,726,728,867,566,258,707,931,
650,575,522,051,178,506,402,486,520,831,706,521,556,241,439,388,635,212,461,
965,933,496,419,370,101,534,202,230,756,197,613,436,189,641,731,742,330,693,
297,826,109,118,897,021,034,124,019,033,355,513,059,012,221,191,726,651,422,
172,079,075,132,485,103,766,572,624,240,168,232,852,477,168,319,724,868,152,
976,920,459,215,640,789,506,210,440,862,730,587,688,198,019,034,750,996,332,
491,825,966,191,698,983,490,026,523,330,975,541,786,781,536,869,143,527,051,
515,022,712,815,108,451,105,769,173,996,596,318,098,806,676,936,703,525,771,
793,200,474,645,654,566,096,294,330,050,949,910,136,870,790,513,623,688,603,
069,150,928,711,878,785,974,571,455,728,323,042,042,914,833,117,683,290,346,
910,514,073,860,683,506,473,504,718,467,593,238,068,807,167,741,244,958,458,
621,139,041,559,417,568,516,111,931,102,070,461,813,533,727,911,883,036,686,
529,343,992,769,968,000,082,060,151,453,275,857,708,008,517,872,695,482,155,
752,789,221,183,937,711,495,928,579,094,701,174,682,335,507,758,666,984,979,
010,775,227,435,594,012,531,295,300,494,787,054,958,331,124,521,776,425,494,
255,534,896,592,785,120,415,051,050,966,128,114,952,244,501,894,180,068,729,
431,304,288,522,328,079,978,792,125,969,524,722,158,087,733,435,317,048,453,
851,303,557,817,679,087,243,888,429,603,375,054,402,340,830,263,641,007,867,
038,828,277,342,594,377,732,303,262,385,289,534,687,185,677,047,425,896,075,
185,809,502,971,862,802,885,470,864,294,284,032,695,903,134,115,216,191,122,
412,221,350,452,546,332,389,943,165,283,529,493,172,692,098,310,620,441,101,
057,163,290,742,220,180,575,307,441,588,996,443,566,972,521,268,080,164,284,
400,934,330,215,124,151,238,821,608,130,485,698,120,473,422,555,655,531,857,
596,876,509,352,362,265,563,518,064,375,082,366,606,125,578,215,166,845,719,
075,406,330,604,412,102,445,919,034,104,196,184,476,402,797,595,112,881,484,
650,208,938,372,632,674,016,604,717,884,660,328,584,029,937,827,636,427,533,
143,402,788,358,817,167,972,090,864,459,813,681,840,516,720,918,014,758,130,
950,658,601,512,183,632,496,586,997,134,693,221,319,736,218,226,503,180,053,
322,504,563,782,361,693,098,189,188,885,929,783,998,085,088,132,314,361,564,
460,645,523,849,808,118,330,157,614,649,069,480,103,695,134,676,332,630,161,
626,546,254,906,836,365,993,809,131,426,663,139,557,823,993,256,461,585,429,
589,336,333,155,745,471,998,717,229,226,565,112,836,681,282,265,694,987,287,
110,814,630,741,135,239,751,463,047,124,439,396,503,330,368,718,724,156,116,
463,348,223,261,936,424,529,128,485,981,260,078,189,220,428,703,305,925,673,
012,548,827,837,335,824,962,997,252,054,962,082,798,179,624,391,575,245,328,
843,834,055,109,996,048,759,326,905,059,465,572,390,733,572,216,542,952,014,
304,966,754,556,985,037,898,157,066,868,914,968,834,938,394,253,332,333,707,
967,763,465,980,911,377,525,951,708,588,204,895,631,703,951,039,235,217,390,
289,290,647,593,102,748,451,419,848,140,702,590,093,808,782,849,905,591,137,
565,068,998,134,129,173,487,438,879,128,412,105,953,998,405,902,994,156,031,
613,922,596,413,686,103,605,851,881,715,462,593,141,020,686,257,635,414,355,
298,411,888,867,160,068,875,672,386,817,417,538,517,759,953,315,610,282,857,
922,074,041,073,703,678,272,064,758,671,949,973,663,175,738,732,083,460,884,
014,453,375,984,832,651,603,778,920,392,947,671,297,374,690,211,787,474,904,
365,464,456,992,445,048,265,911,551,414,529,131,713,344,229,825,357,452,883,
064,334,982,278,774,513,517,682,888,117,179,453,888,105,940,361,916,879,805,
490,523,311,726,364,404,348,560,408,155,307,502,875,610,643,289,186,785,403,
595,838,010,245,898,145,805,366,037,285,117,424,335,980,866,046,110,914,423,
943,991,659,574,890,170,731,507,460,270,333,718,695,757,209,045,128,793,653,
442,845,099,353,519,832,243,358,732,394,568,906,019,332,056,249,064,616,886,
358,661,894,675,297,052,079,976,801,871,944,996,274,848,741,284,965,185,359,
154,835,652,408,711,134,389,310,806,213,367,462,926,695,041,466,362,861,110,
469,238,028,219,444,539,933,291,152,434,671,882,794,467,542,826,210,444,966,
686,347,893,009,313,581,352,431,073,449,513,077,917,291,988,100,354,608,879,
803,397,540,141,247,383,823,003,275,598,618,195,711,363,252,239,105,700,778,
797,608,524,086,519,162,064,370,110,190,238,169,223,309,037,277,622,695,708,
592,765,455,546,068,962,301,575,171,826,770,255,823,926,519,959,820,199,507,
806,668,920,087,219,200,264,035,906,366,206,893,938,211,646,555,546,155,931,
350,844,063,373,268,495,745,433,324,961,203,690,108,839,402,990,704,477,783,
945,843,333,204,540,896,798,833,299,093,939,887,372,260,455,118,797,444,141,
712,274,414,635,165,386,697,486,171,629,652,079,221,422,304,450,103,614,518,
415,757,044,199,317,936,541,132,645,653,062,967,879,134,033,374,056,155,395,
367,440,470,759,560,531,108,006,002,057,308,610,396,608,112,138,975,227,346,
256,213,197,346,487,039,614,053,155,328,697,491,202,717,768,708,405,351,552,
670,670,960,955,507,261,147,313,088,460,831,876,767,559,703,038,260,984,514,
519,801,650,422,419,347,204,638,787,348,341,012,495,934,974,528,377,134,431,
887,634,800,421,212,034,972,963,995,565,823,705,660,862,612,265,766,783,028,
417,687,635,599,379,476,701,902,673,041,540,266,103,990,317,839,362,111,125,
712,968,909,182,666,804,118,401,992,648,654,854,241,505,500,645,778,251,630,
048,733,081,523,642,863,724,614,326,925,464,724,642,160,582,675,017,680,054,
301,792,722,220,052,635,476,404,331,719,175,174,444,450,381,876,682,996,275,
533,443,704,671,255,148,433,752,257,274,340,842,520,196,897,492,228,938,084,
171,942,399,336,409,048,375,718,199,517,748,286,860,235,570,703,455,759,459,
812,824,855,014,688,772,517,576,168,977,216,901,886,480,196,244,488,928,093,
252,217,768,057,794,500,768,870,864,203,442,191,087,643,818,378,868,979,307,
971,519,225,256,403,018,047,053,465,626,143,959,325,419,933,887,804,683,586,
120,485,393,984,526,004,106,294,365,324,555,072,204,019,902,432,428,286,552,
059,094,970,017,066,273,553,909,154,707,230,046,370,141,441,024,186,297,829,
411,330,898,304,971,579,669,460,788,947,366,876,869,123,584,546,751,496,008,
552,962,238,470,253,098,849,328,647,353,003,394,839,099,543,112,522,684,344,
052,702,655,039,195,430,457,053,010,706,731,146,299,552,207,816,751,310,604,
199,789,820,994,671,149,171,185,444,060,443,672,026,693,639,156,998,927,064,
954,435,850,662,807,585,038,824,900,381,082,225,883,823,371,262,945,930,998,
459,944,055,411,239,074,191,073,081,062,008,727,552,454,940,316,683,251,080,
498,389,923,925,652,010,682,571,188,491,553,724,327,916,169,613,027,854,306,
798,178,142,830,589,148,761,585,616,359,995,582,946,233,498,411,747,990,201,
128,644,905,267,356,667,175,919,898,966,769,666,408,859,240,816,809,994,909,
987,290,774,555,965,567,766,929,601,736,365,371,565,126,328,010,207,486,179,
249,574,745,223,494,831,639,348,521,954,714,220,073,112,942,107,210,335,940,
862,969,747,277,474,076,277,977,034,328,779,679,153,504,527,320,998,513,512,
923,304,784,159,513,466,062,569,698,015,540,544,485,271,395,903,453,671,368,
686,271,341,951,460,717,402,052,618,666,732,863,465,231,147,953,596,057,238,
972,251,369,738,312,701,415,559,862,567,361,096,043,403,423,944,086,368,078,
133,816,530,360,134,473,355,787,398,441,768,351,618,751,664,553,765,764,892,
213,735,981,410,506,882,352,933,053,588,464,135,494,850,340,777,201,885,883,
738,599,164,424,669,323,114,349,826,423,277,807,619,386,146,759,187,168,193,
483,148,914,434,281,972,248,354,030,405,755,578,023,406,289,820,123,308,824,
009,876,698,213,137,244,406,532,448,679,115,769,279,959,684,702,876,822,922,
894,626,840,527,346,355,893,493,691,586,399,802,881,614,510,304,891,038,462,
579,333,713,667,112,040,794,633,097,587,591,080,334,348,925,375,123,799,497,
832,213,625,148,428,109,954,844,651,489,123,929,917,284,787,475,387,622,309,
920,133,002,816,589,840,065,877,901,857,640,368,226,491,634,840,819,402,671,
660,209,278,948,121,531,496,232,534,545,599,586,780,064,511,062,971,085,962,
527,056,396,708,188,700,772,529,564,459,632,681,053,302,532,629,487,044,885,
448,469,931,211,110,128,477,509,848,374,823,155,029,537,722,027,969,726,310,
798,017,720,566,860,907,613,618,723,281,973,014,464,085,121,029,042,676,447,
220,555,336,193,428,640,728,887,437,890,966,153,133,792,199,856,674,617,729,
676,450,288,153,385,587,830,803,303,272,947,762,152,495,806,015,479,504,398,
579,072,256,674,832,082,293,549,138,830,648,714,271,610,473,880,988,476,498,
832,437,397,660,863,401,676,860,894,483,109,631,351,466,497,508,017,500,164,
515,262,959,007,467,603,024,098,889,779,433,530,375,966,000,924,099,048,142,
433,813,696,502,261,876,101,113,399,232,051,287,310,085,261,387,456,370,224,
926,466,871,756,260,934,409,438,420,034,955,882,553,036,357,613,360,599,661,
329,979,574,082,642,381,963,475,564,205,779,966,856,203,805,845,112,945,518,
642,504,289,325,189,175,303,922,927,466,053,520,316,486,918,198,369,636,233,
822,820,798,180,026,326,786,378,291,406,665,562,478,257,834,763,601,495,604,
531,099,602,074,298,604,630,499,607,450,648,223,873,862,007,121,592,583,774,
840,464,816,901,174,969,466,954,628,375,503,713,276,173,192,267,765,333,167,
769,117,007,372,214,263,184,947,293,827,440,337,677,458,089,704,409,871,593,
586,107,774,992,076,801,761,061,144,579,406,686,176,077,980,197,237,023,391,
333,119,194,065,256,847,227,590,252,752,318,345,440,409,450,333,102,656,860,
235,015,954,072,711,156,282,639,385,194,025,032,199,428,261,667,799,307,986,
909,221,747,753,768,647,968,117,734,501,805,655,944,124,735,117,194,626,669,
704,309,429,217,481,764,467,774,256,514,387,547,964,756,524,816,147,082,456,
041,492,752,665,524,825,979,308,118,561,266,895,680,010,693,817,701,635,471,
624,572,865,631,142,207,656,979,256,182,091,606,781,740,798,167,625,822,468,
454,233,878,429,269,502,136,278,748,266,406,592,643,352,328,208,376,450,018,
524,625,383,050,746,699,137,876,088,992,802,844,955,234,569,123,903,899,074,
604,112,221,670,591,728,839,412,026,863,355,206,512,846,577,899,447,466,411,
441,724,414,437,824,243,043,988,402,478,980,969,330,750,429,687,959,131,282,
410,472,571,954,876,526,650,582,761,025,340,716,666,814,792,428,488,055,645,
989,686,599,187,052,713,174,549,790,297,771,587,552,042,149,309,533,224,931,
283,867,809,605,948,027,673,027,073,332,362,186,989,601,465,159,389,258,480,
359,431,850,056,860,130,609,300,471,233,079,557,527,983,975,161,973,885,361,
865,286,404,837,054,171,319,612,785,086,011,310,591,310,868,829,599,852,145,
382,979,774,422,477,708,764,953,478,896,108,267,320,406,395,076,603,507,002,
816,396,975,112,070,688,145,380,348,566,574,987,832,394,857,239,058,684,411,
177,799,806,452,044,631,951,577,123,001,777,183,565,030,341,096,149,345,752,
376,406,854,610,255,641,874,753,957,204,679,282,722,203,426,977,505,230,514,
407,799,006,878,010,263,816,207,147,446,007,013,844,865,433,982,160,409,575,
780,586,214,499,460,025,800,697,597,984,891,531,934,341,123,766,554,970,143,
015,574,357,040,489,232,698,594,584,633,224,959,117,085,921,005,467,912,549,
366,626,638,609,147,373,057,121,399,238,688,394,767,829,159,333,650,475,175,
691,177,919,399,245,735,687,757,971,624,972,167,733,594,506,804,116,562,890,
236,200,886,863,697,863,540,395,080,256,913,282,672,121,384,650,665,487,810,
836,377,722,405,558,156,482,905,494,947,846,088,931,528,200,659,741,305,089,
136,490,987,049,458,818,568,738,400,611,494,537,737,814,324,625,610,869,752,
546,166,754,794,298,223,409,918,497,118,930,563,598,565,775,717,509,311,701,
213,238,018,081,216,843,152,224,675,436,254,035,291,659,736,225,377,193,797,
006,354,321,716,266,490,642,846,646,736,873,571,875,972,506,212,226,572,121,
646,008,133,671,743,975,892,927,467,407,192,729,660,218,002,066,028,077,663,
835,125,410,497,599,215,714,718,838,660,947,217,082,680,786,185,845,233,299,
804,404,692,747,322,447,319,668,124,119,092,894,817,925,690,601,972,113,372,
829,462,703,158,599,627,379,453,064,147,941,921,754,360,139,214,192,010,068,
348,043,875,740,130,505,648,158,848,837,832,495,350,332,285,427,813,603,568,
645,944,925,892,434,062,421,149,166,200,675,347,585,233,489,048,698,687,935,
374,172,671,823,401,152,258,252,844,913,957,059,656,772,638,419,842,276,923,
708,591,356,605,970,297,217,414,627,277,952,270,796,790,576,465,939,371,285,
883,151,679,498,570,245,319,726,067,384,846,980,973,648,872,700,294,128,920,
031,584,242,655,231,844,956,564,618,736,385,085,262,713,075,945,580,636,640,
323,991,687,841,911,302,322,320,697,182,203,331,514,671,530,283,699,730,344,
279,675,607,047,312,787,371,905,164,491,622,602,046,829,945,587,220,750,233,
256,311,929,509,404,046,426,944,225,682,185,983,919,396,783,754,281,041,016,
259,029,415,471,500,859,493,040,836,907,921,897,954,241,914,226,851,414,502,
974,589,013,647,313,157,158,266,379,863,398,200,644,138,496,326,246,509,499,
530,278,702,988,616,959,076,555,947,088,454,087,639,758,638,358,346,487,611,
054,628,209,928,309,587,160,235,577,867,028,306,135,256,788,052,251,997,726,
898,388,087,463,416,581,283,777,764,319,273,648,886,331,913,297,358,378,832,
270,586,480,913,772,524,820,169,111,776,315,381,305,078,621,646,216,620,440,
147,466,577,460,610,040,922,778,307,525,647,609,806,255,054,971,043,530,237,
677,680,739,318,770,517,784,874,621,584,450,667,001,141,709,062,551,598,622,
503,073,289,928,919,224,450,616,800,242,701,094,258,232,382,422,838,884,896,
481,389,741,746,014,257,539,372,596,399,795,525,585,917,061,423,802,179,430,
443,195,991,004,043,480,138,980,630,907,227,739,304,324,414,091,376,476,223,
270,855,133,611,092,742,254,032,738,483,909,037,242,956,175,365,820,577,784,
366,963,389,279,911,829,583,540,159,750,046,392,489,910,240,584,963,431,542,
573,077,555,307,107,326,698,206,243,880,067,911,412,625,140,474,270,667,158,
007,758,032,533,992,630,062,720,253,173,374,409,120,027,396,489,714,157,239,
626,109,793,269,095,873,876,494,969,815,521,515,307,312,218,997,958,527,039,
950,951,355,969,876,702,113,838,349,601,079,172,263,537,849,024,148,052,353,
514,490,705,669,405,812,087,896,452,058,007,397,779,774,909,438,975,579,363,
847,598,061,731,912,753,169,185,078,361,430,441,764,431,214,520,581,261,039,
871,106,218,019,481,479,288,378,551,836,137,453,227,597,115,140,496,442,604,
866,640,698,823,981,535,888,393,844,751,239,956,830,181,606,970,944,023,696,
394,483,082,468,467,696,523,899,183,621,670,662,673,422,726,478,225,013,927,
908,809,803,392,416,750,816,520,317,031,744,535,192,645,633,684,016,730,751,
175,139,989,740,236,620,989,010,296,138,870,469,767,043,699,281,933,622,317,
038,901,358,045,837,151,718,397,519,581,437,962,052,859,952,089,600,011,143,
083,015,692,040,417,682,909,888,192,726,726,085,359,994,797,111,619,346,034,
237,872,992,433,304,818,406,438,010,997,805,452,974,774,642,217,061,673,329,
668,030,941,423,917,253,675,398,594,126,808,812,807,573,324,337,994,491,723,
757,844,597,845,873,218,370,213,316,169,051,854,777,049,092,911,464,167,871,
257,757,569,833,122,481,045,817,213,909,570,040,822,352,098,968,047,863,253,
387,733,024,608,797,341,031,657,197,065,346,260,215,888,816,024,228,506,715,
788,519,884,865,253,326,043,528,562,752,194,588,944,341,772,196,048,650,497,
318,829,044,812,144,677,724,305,957,711,165,729,742,757,015,910,748,352,263,
658,709,665,988,035,416,744,883,828,300,975,991,996,511,146,556,110,544,205,
730,749,839,973,055,139,893,622,646,272,061,845,739,578,922,051,366,051,668,
330,993,288,069,312,915,143,073,110,618,875,852,965,437,996,969,474,807,768,
496,662,199,030,127,953,687,482,171,578,224,358,719,241,000,503,778,717,731,
400,670,814,522,990,075,452,498,606,486,047,461,576,083,268,891,576,891,066,
323,274,739,106,977,375,827,185,769,938,239,778,177,346,676,593,192,351,752,
190,184,119,978,043,325,356,209,367,655,176,305,585,701,580,868,102,000,190,
585,597,005,960,413,405,560,716,548,669,389,794,400,537,657,757,312,017,650,
488,301,093,936,246,547,591,076,913,646,322,542,174,721,575,651,356,704,042,
074,339,274,460,976,298,294,621,245,883,521,101,657,437,043,372,075,127,865,
135,431,668,698,282,984,150,967,085,050,269,720,129,696,837,089,517,520,909,
513,335,129,111,477,954,783,311,580,070,736,915,174,989,497,189,792,896,154,
929,155,674,176,015,712,779,063,196,387,631,905,516,865,996,438,458,650,574,
676,649,167,896,778,256,486,930,885,595,121,453,673,129,253,090,238,624,978,
187,232,466,489,110,110,239,376,637,905,249,116,747,689,506,885,329,315,628,
695,169,871,702,760,189,027,074,562,231,623,881,592,286,361,652,771,854,584,
127,571,899,921,324,019,733,964,569,244,010,471,537,885,576,628,638,382,553,
095,914,505,055,340,864,078,951,174,101,506,598,614,007,690,764,677,422,502,
431,637,800,648,471,381,588,246,848,326,215,044,313,891,268,135,298,833,216,
301,659,398,581,572,522,943,607,483,484,820,282,468,484,969,070,617,157,801,
786,547,394,027,815,138,394,666,139,203,193,692,552,662,314,882,521,221,216,
866,241,540,750,263,357,749,678,942,110,345,918,723,426,382,926,543,135,583,
786,884,916,186,741,697,474,667,523,623,111,109,496,230,949,259,224,276,428,
161,709,150,803,854,553,635,418,143,879,420,705,554,950,938,014,495,995,350,
537,511,050,040,851,986,470,904,573,129,592,015,978,368,064,195,724,578,573,
603,261,568,056,415,879,023,657,022,496,199,052,723,132,575,038,806,986,811,
920,608,618,602,789,385,088,269,590,982,938,808,815,790,594,826,368,879,708,
647,344,721,201,638,057,888,000,349,897,313,432,830,365,620,076,473,300,761,
810,873,985,664,774,439,838,473,110,619,395,171,850,865,601,032,397,696,384,
489,952,000,194,201,092,177,909,400,032,856,031,391,931,466,352,521,793,536,
170,146,184,004,718,203,578,749,292,677,211,232,209,753,708,994,099,509,953,
785,577,914,939,519,748,788,439,181,820,150,004,399,593,856,349,031,542,488,
997,452,200,569,302,987,502,313,753,084,668,819,846,760,783,384,803,250,396,
378,259,121,759,020,429,040,580,839,515,516,400,293,954,752,968,894,269,215,
922,602,670,259,866,157,957,976,871,623,449,335,989,326,584,702,637,657,777,
070,247,441,281,758,187,579,645,347,357,896,584,457,095,690,787,362,166,015,
374,310,679,280,259,607,073,593,803,492,782,634,458,053,228,525,686,890,017,
002,340,577,752,345,543,752,801,196,277,614,108,864,182,433,913,410,168,120,
085,958,386,612,327,934,180,846,982,631,063,822,851,054,395,399,062,597,081,
872,096,130,050,327,119,618,908,797,017,726,310,435,143,166,568,493,822,079,
320,098,035,999,445,038,912,123,801,923,569,954,660,188,415,003,653,068,160,
818,375,254,605,198,455,949,305,279,598,513,915,398,917,885,989,220,472,542,
022,737,698,383,882,793,905,009,495,624,708,722,481,241,779,871,147,960,744,
697,401,839,432,119,791,193,358,663,070,047,599,785,837,092,894,201,161,236,
431,276,785,225,462,686,713,223,661,091,250,531,285,635,231,355,149,726,338,
088,069,271,780,505,171,854,680,833,585,754,187,123,354,069,582,801,230,355,
765,292,922,283,201,525,720,991,030,224,362,346,592,544,567,764,166,569,864,
815,119,904,292,323,854,905,768,349,942,294,178,600,992,893,141,530,274,082,
772,392,577,692,669,957,704,830,146,121,565,479,130,895,341,186,959,455,030,
395,566,520,151,082,100,659,973,212,243,693,382,744,629,918,696,465,563,997,
206,340,315,241,476,440,407,437,795,112,798,985,523,477,346,005,237,933,780,
231,432,770,775,055,366,027,494,463,900,564,485,557,541,443,699,475,359,288,
415,819,890,085,905,907,505,421,024,158,645,079,857,960,915,425,687,975,832,
504,086,669,656,500,617,222,427,841,246,092,878,385,735,537,882,977,306,756,
592,986,962,339,873,283,629,382,258,788,794,683,833,085,493,031,346,462,972,
871,870,426,163,787,638,728,473,251,449,662,871,974,084,269,674,477,308,280,
039,345,399,113,112,962,507,588,104,946,518,829,754,028,717,061,294,427,038,
188,984,796,322,773,524,490,870,243,645,721,517,778,165,407,335,698,260,921,
159,043,626,770,640,545,460,297,844,992,030,004,540,217,009,497,457,342,925,
599,047,100,371,682,059,037,080,138,775,472,057,673,047,808,576,014,235,683,
654,177,918,911,209,356,090,746,772,785,525,103,993,900,667,766,924,381,497,
528,806,379,259,032,017,527,036,709,051,400,586,724,236,187,261,489,516,151,
556,229,469,538,507,282,139,034,164,965,975,333,864,762,709,470,873,210,268,
048,241,049,744,282,260,806,784,156,426,713,043,010,641,161,754,913,430,447,
811,592,751,559,525,744,343,872,764,900,101,418,500,932,183,937,313,314,541,
479,455,195,452,483,563,590,638,956,646,101,395,715,154,123,826,224,396,138,
270,083,802,554,722,174,161,241,551,229,888,518,995,011,563,712,418,941,010,
529,680,071,133,084,717,710,440,654,450,713,629,332,622,635,797,523,493,136,
443,465,754,050,762,473,344,943,011,036,678,715,983,008,375,658,475,746,619,
116,271,377,667,713,604,622,506,131,374,270,148,549,875,428,518,232,427,899,
660,196,237,469,582,864,739,784,254,260,296,429,839,882,603,226,677,911,645,
345,498,848,504,800,798,297,323,796,784,424,369,092,266,860,101,534,443,440,
955,419,639,075,350,270,803,748,629,216,171,857,387,695,126,727,635,437,878,
735,371,888,337,207,440,721,431,638,860,875,864,025,560,792,764,474,360,698,
636,968,581,464,480,278,074,174,004,245,672,446,825,851,647,744,076,128,855,
476,248,709,534,953,887,879,836,053,534,560,896,203,364,749,284,102,380,749,
138,378,342,654,427,098,584,828,582,348,663,608,475,390,553,604,508,875,312,
031,471,582,270,190,910,204,359,664,810,788,843,419,606,795,328,146,904,035,
642,651,465,929,047,292,624,333,122,919,646,659,306,724,223,235,276,921,755,
980,032,599,718,485,811,103,726,668,575,950,481,213,783,841,952,357,298,613,
163,541,531,827,931,935,845,735,950,239,177,913,519,019,970,197,055,561,834,
349,751,849,026,599,173,030,638,959,615,141,619,081,222,923,903,804,278,772,
248,198,240,104,288,365,615,115,182,060,248,913,302,700,469,464,126,633,160,
810,825,966,037,192,273,842,821,960,427,667,081,220,277,079,663,399,295,531,
446,653,442,612,976,982,971,823,763,241,123,069,578,705,443,271,686,214,417,
086,276,436,516,251,021,344,415,567,453,752,067,148,855,908,012,540,425,868,
061,784,041,149,267,026,788,352,957,556,661,737,063,956,383,491,738,135,115,
773,914,836,011,585,487,561,733,863,684,825,561,398,984,922,239,787,305,705,
389,475,710,488,056,493,510,657,985,232,522,849,931,228,423,675,445,370,416,
266,360,941,653,439,352,859,304,332,075,130,811,736,379,997,348,009,932,244,
583,965,042,385,290,277,513,965,220,181,286,767,375,493,267,690,214,068,707,
288,770,516,124,474,972,965,470,933,107,159,504,030,138,187,047,101,792,496,
525,095,218,424,029,679,940,714,639,074,829,469,382,975,288,352,377,247,265,
875,796,657,347,806,383,341,835,262,278,857,713,806,238,943,812,205,177,425,
269,030,670,541,909,962,370,430,512,010,322,024,647,158,581,626,795,339,987,
259,601,022,719,428,478,580,374,495,140,705,549,925,802,762,712,265,838,239,
720,925,556,329,107,339,714,467,018,896,183,379,525,381,600,226,421,639,716,
459,034,060,132,329,059,773,690,234,032,538,648,980,041,396,419,462,394,920,
477,865,723,616,492,157,875,815,036,754,928,023,869,383,007,016,019,814,750,
445,953,476,571,503,072,384,407,038,525,057,545,449,867,677,056,590,137,804,
027,176,840,874,115,470,554,070,921,697,742,149,422,697,419,037,008,508,735,
761,256,445,656,635,713,982,127,929,324,008,636,138,661,215,214,480,818,912,
679,482,822,029,811,572,170,251,180,392,863,435,307,021,294,093,212,119,533,
269,665,952,647,231,811,349,544,457,880,010,415,230,696,871,656,378,010,928,
795,320,201,395,919,524,985,843,142,597,811,852,485,165,457,318,111,584,698,
755,459,131,021,519,621,348,030,409,574,511,954,651,559,764,595,439,996,434,
523,689,836,639,432,266,410,170,422,408,482,221,675,341,517,030,688,604,551,
446,803,163,793,360,063,404,721,636,052,599,463,640,619,126,051,911,161,906,
623,751,888,877,013,787,872,248,500,030,449,138,739,283,445,929,398,685,271,
090,517,539,568,913,155,517,316,661,159,066,265,321,703,996,492,377,190,466,
931,424,531,999,156,877,965,205,060,061,764,345,884,550,792,907,418,800,109,
178,934,426,215,663,457,512,342,025,599,010,462,715,886,053,212,309,123,985,
588,246,513,762,293,097,340,817,524,307,751,774,315,346,244,506,032,177,034,
696,554,199,929,866,779,340,158,134,888,425,762,972,518,884,660,722,620,646,
252,409,646,382,119,258,157,439,279,069,535,780,684,787,110,417,081,759,630,
606,834,990,098,748,098,683,191,680,554,962,385,041,767,981,107,787,980,667,
205,885,024,302,021,970,205,395,843,873,570,930,251,867,563,377,786,136,793,
322,508,999,053,374,131,528,242,850,439,061,528,034,824,576,954,019,120,251,
850,044,367,414,881,114,379,370,737,185,921,494,640,941,305,510,061,017,156,
092,245,101,388,343,834,936,644,579,993,776,172,782,877,288,635,811,073,809,
858,050,848,914,590,384,605,353,266,942,109,215,032,086,944,006,163,312,926,
263,920,423,112,190,207,175,187,786,709,624,162,775,927,606,201,877,538,072,
409,570,225,325,354,799,925,087,678,508,448,943,346,255,774,908,522,949,323,
778,394,143,769,593,993,421,412,557,476,746,101,907,881,543,598,257,751,879,
266,137,090,422,340,461,604,552,718,852,478,811,878,131,779,912,855,581,242,
830,638,881,011,937,335,553,986,172,702,385,011,804,764,161,535,015,544,898,
859,335,491,886,336,883,918,997,765,007,920,793,154,585,329,053,161,372,984,
188,865,690,985,482,450,109,717,586,398,292,393,048,019,182,771,267,035,722,
057,455,174,243,500,842,226,977,035,293,473,258,479,949,493,155,210,148,058,
799,345,783,571,614,885,917,531,770,069,029,591,138,239,324,508,875,234,343,
152,948,213,479,988,365,524,112,891,092,718,561,262,150,260,449,775,413,631,
894,297,239,276,636,750,685,055,517,066,723,850,584,658,459,432,199,913,763,
952,309,908,398,333,000,733,823,405,967,583,695,342,377,090,575,928,764,132,
071,842,760,582,875,886,041,221,342,097,920,101,319,487,394,634,853,079,974,
362,072,979,640,613,716,962,191,481,473,380,099,597,630,838,825,663,186,630,
406,484,592,707,931,263,662,179,224,436,193,991,829,226,966,304,414,589,403,
071,215,839,096,455,162,218,634,499,963,834,446,396,293,298,779,980,791,202,
320,445,455,515,371,306,754,822,925,835,517,592,039,114,032,659,830,313,911,
578,171,919,080,654,824,640,578,571,239,904,980,645,064,305,398,790,948,893,
482,047,251,578,579,631,716,651,234,390,479,251,212,720,931,048,408,208,142,
798,546,496,621,865,981,373,983,592,458,097,182,471,007,935,439,090,864,710,
038,662,786,904,398,442,456,914,022,005,284,163,178,353,137,819,185,590,590,
854,816,610,774,133,416,803,442,884,365,882,050,592,427,743,189,353,921,226,
337,074,235,589,628,892,899,997,486,311,524,448,754,910,584,919,851,535,013,
309,862,597,878,228,131,419,821,181,587,830,792,751,348,824,845,567,128,911,
760,812,792,601,455,908,988,518,034,306,544,634,156,274,418,743,291,338,082,
588,811,132,094,978,155,757,252,612,257,135,024,573,481,165,453,649,732,151,
148,915,510,579,925,149,083,877,212,711,703,200,717,583,648,974,968,847,032,
217,822,238,551,406,484,023,588,764,526,799,694,749,497,992,645,167,503,956,
376,340,782,847,379,931,894,465,998,761,788,769,420,188,458,674,519,431,285,
453,818,126,831,400,836,800,866,545,068,305,552,327,573,022,581,902,595,369,
998,294,174,628,149,834,190,949,540,430,664,988,844,716,601,161,833,007,116,
095,355,022,536,297,178,586,290,392,219,906,033,072,040,858,165,268,457,881,
028,657,654,760,657,506,558,256,788,423,442,015,568,719,692,498,584,377,560,
639,835,775,812,191,613,538,876,628,245,836,100,687,624,231,019,272,957,750,
925,111,400,257,120,834,356,896,041,335,519,083,703,931,946,589,517,771,486,
019,270,328,623,080,429,543,161,130,533,141,235,421,774,334,508,300,869,950,
352,460,199,282,766,881,677,016,609,767,359,182,230,091,727,531,025,641,172,
703,207,927,153,584,848,078,539,086,936,199,284,123,623,535,926,218,861,581,
648,509,094,942,904,560,110,530,659,215,491,320,533,242,633,466,515,313,555,
937,292,571,693,458,941,586,871,964,936,940,847,233,282,733,365,487,159,859,
444,265,167,610,596,786,004,329,125,730,219,608,921,743,520,376,334,575,302,
192,937,684,372,558,099,822,706,540,105,209,473,493,870,813,478,419,614,252,
778,752,176,901,180,894,342,661,891,617,396,937,080,600,850,712,166,503,126,
151,404,286,906,216,648,312,529,058,834,754,392,387,068,329,050,844,582,632,
179,762,254,739,484,830,379,219,631,344,279,977,593,446,021,712,318,733,943,
812,018,611,797,030,713,662,009,733,472,244,643,522,300,220,445,669,979,349,
266,800,823,008,100,393,548,183,860,555,254,218,504,061,966,527,847,610,143,
347,829,594,273,808,362,461,394,223,347,277,698,979,554,673,411,821,646,539,
112,073,592,544,481,121,030,260,865,187,231,558,406,834,941,676,316,685,242,
712,733,662,625,229,301,043,307,890,534,032,859,690,449,884,690,214,928,755,
483,361,764,248,327,808,110,307,873,818,769,637,287,152,495,234,482,578,073,
699,679,867,030,152,467,758,608,997,778,212,556,861,996,596,117,579,205,820,
853,123,041,483,487,714,061,982,236,594,946,451,191,769,604,383,362,560,006,
433,118,291,150,163,166,243,334,235,437,172,436,533,350,209,771,406,401,826,
908,888,189,238,013,965,999,898,598,338,110,765,086,846,357,321,897,472,201,
879,568,124,451,621,417,449,337,826,152,835,625,283,426,596,883,848,543,138,
384,889,543,514,520,270,458,024,341,628,351,683,969,673,419,390,286,873,251,
581,081,606,969,098,517,849,606,163,477,060,545,045,165,331,687,041,119,560,
395,928,406,222,396,509,460,614,773,749,124,314,642,972,421,917,969,582,935,
849,668,931,861,617,407,835,663,598,380,187,973,050,991,910,677,085,680,913,
609,818,921,769,559,216,667,752,680,553,840,589,989,873,004,618,631,782,543,
609,227,528,030,278,528,214,596,445,149,225,025,327,784,419,360,883,614,218,
158,375,567,599,538,595,641,296,999,084,691,824,864,680,835,578,501,006,212,
027,560,656,398,984,562,596,207,173,430,788,135,266,750,382,713,967,593,525,
757,094,414,744,443,011,629,272,323,747,275,264,815,992,392,929,157,448,842,
275,362,845,666,231,239,393,806,191,553,324,165,138,689,643,369,758,683,897,
450,857,180,674,492,280,370,424,529,554,081,170,626,253,469,195,854,425,574,
551,947,441,536,199,642,677,627,213,750,897,486,553,734,622,012,403,652,800,
672,438,728,441,000,591,094,220,859,915,701,517,939,170,301,252,820,042,860,
645,955,326,646,139,615,530,358,572,908,269,506,486,567,727,858,145,555,942,
564,797,741,734,310,126,965,741,631,034,151,958,257,666,621,389,524,984,821,
047,739,830,052,130,126,471,588,280,171,728,981,697,245,015,608,427,141,891,
818,393,986,455,641,119,623,299,941,547,871,792,363,015,061,010,108,470,202,
061,109,476,571,695,886,775,462,934,387,101,869,777,028,055,717,455,709,083,
371,908,558,358,507,596,431,332,988,404,615,592,736,181,982,644,692,386,320,
875,558,029,432,865,111,998,250,305,554,060,987,241,731,346,641,872,018,341,
399,919,509,866,593,313,071,687,636,058,646,449,043,615,215,240,034,938,939,
281,575,062,669,663,168,307,231,818,827,332,340,112,063,334,323,270,513,936,
783,069,426,486,296,904,771,186,360,987,036,713,459,902,156,234,193,102,870,
057,927,724,469,743,136,550,323,071,105,652,056,328,076,089,246,608,900,581,
389,878,227,462,499,147,546,636,298,507,735,227,024,526,970,661,194,241,826,
201,982,911,273,951,744,433,117,515,686,069,604,586,187,811,441,038,269,582,
159,618,169,946,361,242,991,103,000,891,327,850,407,593,188,265,189,045,950,
195,287,110,388,819,292,837,649,631,505,925,380,566,594,595,785,406,888,347,
133,413,197,680,699,707,425,152,662,255,078,210,236,792,934,298,172,894,362,
002,412,274,080,078,337,582,537,806,895,964,557,076,422,411,994,209,156,799,
632,421,316,794,836,751,953,971,443,324,210,445,133,856,626,840,451,430,264,
920,866,798,138,605,088,311,911,704,799,382,180,941,089,217,320,613,137,711,
383,365,995,342,630,479,311,752,473,420,353,277,629,644,472,908,434,601,709,
185,249,456,919,865,081,660,652,519,530,912,640,588,348,416,662,347,472,958,
680,759,835,221,057,111,015,223,604,787,899,421,566,172,749,091,443,336,299,
437,819,183,287,174,890,042,592,813,224,383,291,239,609,308,226,902,457,575,
758,823,943,374,548,260,352,498,149,734,065,500,608,448,263,175,087,939,004,
053,886,065,358,473,191,061,912,435,782,565,904,098,585,299,392,794,011,063,
539,801,421,749,825,004,325,647,854,762,626,570,653,914,220,288,459,147,188,
251,097,133,385,324,251,761,267,418,121,344,000,391,246,792,610,629,634,005,
181,528,147,000,603,414,634,167,449,474,116,723,903,501,193,531,099,746,181,
560,925,587,871,294,152,622,802,119,754,275,046,903,665,145,756,515,550,582,
240,278,830,392,395,888,261,936,414,946,470,824,243,348,479,063,087,991,487,
631,893,322,633,188,468,032,225,359,272,313,190,537,431,138,227,980,487,256,
994,248,549,684,987,462,334,815,603,047,376,242,925,697,976,911,152,632,682,
243,119,682,212,063,449,361,275,518,733,744,140,756,665,880,885,442,180,767,
087,463,843,365,242,563,026,726,235,469,649,743,761,541,077,105,324,004,558,
901,564,199,758,378,068,469,690,091,986,561,618,313,269,674,619,378,817,891,
006,100,689,795,503,798,450,351,766,799,334,241,363,583,412,778,806,660,848,
045,000,188,784,476,947,330,133,726,348,962,707,736,182,783,715,047,429,563,
540,258,267,595,562,411,347,025,640,886,038,429,418,961,285,124,617,882,205,
602,808,141,180,757,212,590,778,338,501,677,355,344,758,642,574,783,534,869,
464,708,330,580,433,652,316,299,141,086,287,487,805,029,505,699,388,201,364,
339,903,303,633,823,050,065,632,182,105,200,512,893,803,352,632,895,816,249,
393,760,549,086,182,195,981,725,082,541,504,629,393,697,669,227,124,771,483,
296,848,352,567,842,859,909,726,493,911,377,712,495,770,604,892,342,257,222,
228,144,835,326,443,062,628,599,774,944,911,062,247,308,566,466,987,652,702,
059,184,550,687,372,775,951,188,105,550,532,308,355,512,851,932,538,187,388,
200,219,302,893,984,189,939,468,603,894,850,568,084,810,273,196,146,218,727,
806,095,874,874,309,488,507,634,018,029,128,211,854,150,061,892,863,221,860,
954,206,537,697,189,094,347,979,823,902,911,074,068,441,773,664,738,028,778,
562,460,494,288,328,826,506,900,250,131,295,461,128,955,200,964,550,564,192,
255,497,233,519,604,214,724,932,051,658,266,686,726,497,437,383,262,184,821,
033,439,794,468,722,213,749,545,149,642,674,870,553,430,929,395,907,792,576,
944,036,908,394,497,628,731,416,519,632,042,528,275,112,767,537,535,926,462,
302,567,870,115,788,617,446,622,695,744,642,781,216,846,898,922,728,279,833,
669,113,924,480,290,053,606,796,696,012,540,892,282,873,756,485,404,332,774,
849,000,586,102,716,754,239,581,456,282,551,880,955,366,883,289,055,893,298,
357,038,589,089,569,188,108,928,337,549,529,291,351,669,130,508,943,310,124,
453,170,765,178,190,252,590,988,847,075,850,925,351,984,504,851,322,997,746,
946,304,126,298,435,867,892,671,440,159,103,902,046,575,748,075,353,493,330,
177,467,071,835,506,390,578,720,831,488,296,108,279,942,169,263,736,237,896,
799,408,163,229,946,301,716,158,706,244,173,465,512,345,830,792,869,889,581,
853,993,194,183,396,997,823,223,713,428,384,311,425,114,369,928,847,615,970,
624,411,813,635,236,538,601,306,452,483,966,838,227,892,988,486,603,917,631,
575,547,188,569,172,033,735,810,321,871,583,547,643,367,869,202,085,006,932,
267,432,673,026,001,529,502,916,855,735,770,572,236,453,322,913,781,029,157,
835,603,513,804,496,918,899,476,805,242,127,621,653,526,197,759,505,205,051,
086,694,643,983,657,270,239,871,123,003,992,518,545,514,731,618,341,666,657,
054,002,454,649,384,320,398,640,399,709,583,329,030,016,955,298,832,669,988,
399,325,142,726,599,455,150,875,506,234,399,676,736,277,806,737,560,373,765,
078,332,669,063,388,559,202,110,333,304,885,353,052,242,073,643,971,456,030,
170,554,220,114,750,916,015,879,563,340,439,358,940,323,946,088,092,496,780,
701,992,628,027,145,292,944,114,297,984,802,700,838,736,602,446,530,932,767,
872,003,604,357,986,466,807,694,526,064,173,699,676,318,765,268,265,131,306,
267,839,312,320,512,662,239,334,992,799,348,068,151,197,244,978,782,846,594,
414,029,096,891,197,915,811,106,788,264,083,285,472,659,196,900,159,141,434,
716,480,400,187,827,969,221,448,226,336,642,965,379,212,886,329,536,888,903,
387,130,915,382,030,853,252,607,442,531,698,950,191,631,609,597,065,923,262,
558,309,306,722,106,148,194,561,340,819,377,623,098,908,931,098,426,168,129,
153,417,303,461,091,170,624,672,789,754,708,007,599,450,666,789,325,844,332,
019,648,301,643,673,633,323,659,728,959,978,080,255,404,096,203,883,701,744,
579,143,456,494,230,773,731,021,824,027,902,841,519,794,678,033,446,868,190,
490,458,495,607,702,808,606,965,504,855,009,560,505,975,414,621,123,490,141,
992,492,893,077,162,825,870,089,449,990,384,367,276,019,786,850,953,456,465,
078,302,252,129,000,044,295,372,312,333,844,402,910,145,705,995,804,533,313,
658,477,336,642,946,822,316,604,348,939,973,638,584,775,223,002,590,971,559,
825,349,527,252,116,800,704,466,676,804,166,138,997,394,847,745,282,968,440,
795,225,961,378,274,453,734,352,449,397,471,213,458,486,386,290,648,341,440,
902,254,387,303,942,700,636,498,002,675,869,815,660,893,776,564,433,936,240,
997,372,626,661,842,757,222,863,312,375,527,820,351,454,704,615,404,938,278,
173,090,859,990,725,624,099,644,009,255,755,380,157,951,659,365,851,779,886,
956,347,128,465,426,321,037,014,481,238,502,320,176,047,361,770,929,833,514,
451,184,068,254,032,296,280,351,413,384,331,248,552,616,695,746,739,824,196,
654,769,273,841,560,178,108,037,883,305,142,170,582,913,819,789,684,110,679,
778,722,227,022,590,445,161,424,498,913,376,152,832,249,125,982,829,067,145,
083,344,409,538,272,648,157,464,662,666,516,471,322,299,803,916,910,519,205,
211,983,986,117,918,048,858,262,152,482,880,202,181,303,742,766,490,668,586,
730,351,159,605,472,225,913,002,224,840,146,869,818,325,406,013,690,138,183,
828,486,312,707,044,269,719,589,038,922,080,563,447,458,992,599,497,084,139,
228,902,103,669,522,256,039,881,615,275,400,350,424,832,125,670,297,081,219,
123,783,848,557,448,283,954,884,248,842,356,150,616,961,457,767,975,041,038,
492,608,508,169,067,980,321,954,523,835,621,635,292,558,975,492,447,871,371,
170,457,084,159,014,347,497,854,348,532,506,856,532,632,088,553,648,260,374,
834,431,465,029,163,158,934,650,510,149,156,132,991,664,548,453,343,528,633,
199,868,414,485,853,031,713,170,959,181,880,934,462,983,614,383,013,318,708,
747,982,244,411,465,504,099,942,526,116,108,219,191,994,528,890,498,126,974,
671,224,004,536,197,510,109,871,849,451,058,882,797,644,776,482,015,450,411,
564,797,484,219,224,896,247,913,091,034,742,387,158,172,906,087,332,579,919,
952,691,407,896,864,568,813,648,317,719,324,108,544,572,836,464,382,492,107,
268,496,263,767,446,213,505,656,931,334,268,619,573,533,401,836,711,645,536,
922,047,518,000,427,711,676,976,201,015,500,448,348,510,361,517,258,630,845,
144,827,337,752,126,498,189,128,645,395,436,764,433,444,289,986,488,192,479,
654,848,240,678,794,593,290,614,957,547,073,023,676,503,023,835,213,443,045,
617,392,676,553,299,436,992,308,519,234,827,473,424,736,483,421,888,274,685,
302,569,374,325,481,578,595,560,483,510,912,139,825,446,888,068,944,592,757,
089,106,762,641,272,861,021,438,408,027,109,991,437,335,372,381,302,549,391,
710,992,324,733,979,277,734,389,384,559,655,443,907,468,828,093,957,008,939,
580,762,516,172,925,335,635,743,190,974,095,318,951,604,979,049,896,605,815,
144,837,273,484,442,925,085,235,416,665,552,839,789,034,994,300,600,804,854,
870,451,842,939,084,156,875,347,190,157,058,761,970,700,109,805,768,617,798,
044,198,582,268,875,374,938,088,137,561,504,388,855,659,455,887,485,504,455,
156,444,514,035,182,445,146,274,189,494,606,785,060,827,471,051,233,714,613,
020,754,795,998,249,429,616,105,579,767,224,402,546,871,261,288,457,692,235,
684,545,865,400,697,571,976,272,162,853,896,783,243,317,849,147,555,418,356,
444,026,925,198,333,754,780,232,318,904,966,585,187,135,437,654,151,480,551,
813,113,353,726,590,837,977,898,584,168,532,682,173,385,153,214,226,970,154,
140,272,200,636,417,496,883,529,408,412,837,371,478,352,846,086,831,972,648,
640,525,365,512,264,861,116,871,635,211,954,153,375,564,371,066,671,300,153,
472,797,107,727,676,121,651,731,670,547,799,183,825,909,387,188,081,804,392,
188,415,499,123,753,982,617,834,289,012,262,041,802,918,028,607,719,203,743,
081,191,508,494,535,658,801,404,103,511,389,667,499,393,520,412,312,813,087,
500,291,037,202,832,039,979,729,821,645,821,414,989,871,998,102,243,778,865,
585,470,376,261,407,848,827,281,241,694,530,687,771,425,195,690,013,941,964,
713,161,519,106,189,026,165,552,447,982,383,721,796,230,070,303,844,022,284,
031,607,017,797,637,925,689,987,740,528,104,840,125,710,498,733,932,847,294,
490,348,459,426,023,649,667,991,470,538,264,075,121,932,650,696,223,801,626,
782,376,453,002,061,451,211,435,746,796,067,693,294,175,637,397,689,961,128,
802,731,286,500,725,040,768,808,333,441,841,181,359,150,106,448,090,839,654,
998,642,398,841,142,348,424,964,005,688,239,283,051,905,866,857,863,727,771,
610,967,728,760,771,110,226,866,570,995,208,543,577,698,912,196,917,297,971,
822,101,221,120,725,886,934,516,648,434,536,081,762,361,651,880,998,174,443,
096,829,007,991,418,286,627,932,429,049,013,667,915,626,871,588,516,559,494,
797,284,256,979,106,291,718,861,293,738,890,342,339,451,495,788,827,820,252,
396,963,169,422,072,531,668,166,294,627,084,445,229,540,290,978,115,757,985,
443,770,586,907,329,568,230,604,394,484,366,430,826,390,371,447,145,050,150,
787,169,949,698,193,167,988,268,305,259,071,105,744,546,759,335,702,131,310,
933,453,171,005,824,041,982,064,744,056,913,409,282,260,377,172,149,745,987,
147,560,095,380,855,289,127,475,556,481,955,675,247,692,385,470,414,881,103,
479,264,573,944,181,137,229,238,820,931,376,394,064,233,509,647,315,768,252,
677,230,418,521,286,593,300,650,913,913,088,131,466,967,280,398,012,673,714,
937,102,957,474,964,396,429,040,717,037,214,814,926,703,445,262,971,454,837,
996,676,306,124,563,479,433,501,048,814,384,031,903,954,548,237,320,243,753,
915,987,614,937,668,752,773,067,435,312,314,580,650,242,917,304,496,056,134,
049,457,517,690,020,155,661,277,175,003,559,323,424,694,088,869,702,065,995,
922,780,808,750,221,123,369,197,501,951,088,999,583,607,517,937,372,719,749,
277,859,523,165,644,939,088,526,851,502,135,898,911,796,077,763,456,167,385,
151,098,524,997,171,092,972,728,697,281,841,552,353,333,364,347,172,313,750,
809,001,433,773,782,878,835,221,099,953,756,534,998,979,570,067,252,504,887,
170,498,108,919,835,702,878,111,277,547,729,789,435,436,595,344,162,458,860,
958,225,565,150,440,277,688,984,045,110,699,383,053,759,873,750,870,229,071,
518,762,158,884,259,022,361,449,342,426,235,069,570,517,598,989,558,677,214,
097,780,375,516,134,425,503,028,443,527,727,590,216,501,059,263,338,380,417,
866,232,106,790,303,559,511,462,998,929,336,826,378,379,766,616,841,171,225,
919,829,751,273,148,135,072,221,856,103,475,777,804,784,970,768,414,573,480,
884,097,459,209,745,984,452,367,561,067,358,745,344,632,939,934,593,819,632,
702,815,149,147,117,716,266,358,132,720,684,775,447,269,283,571,600,769,977,
965,749,679,207,451,453,872,619,789,122,039,650,079,692,579,661,263,699,720,
332,811,121,160,049,456,528,872,832,617,302,912,051,167,185,199,088,569,134,
516,659,924,145,664,625,468,763,664,534,214,060,987,324,994,048,179,079,055,
647,340,602,188,313,504,242,786,606,720,794,208,944,536,819,367,717,950,692,
696,302,932,226,580,109,394,859,438,824,152,144,028,818,411,940,535,320,378,
986,549,793,205,126,896,220,622,027,217,140,119,934,777,563,260,182,360,864,
642,669,235,552,702,770,559,337,500,290,203,057,336,455,941,986,878,884,501,
709,484,261,734,499,802,101,692,254,385,276,121,424,006,254,898,607,063,882,
471,265,588,094,506,872,714,028,120,214,429,434,492,324,984,433,874,424,492,
050,783,707,279,514,703,058,255,725,145,224,601,722,645,364,634,423,517,889,
016,715,207,731,481,779,779,691,998,659,043,693,549,497,446,393,874,161,363,
522,246,528,712,331,250,742,983,983,961,252,480,467,942,235,089,016,217,849,
870,980,411,499,024,160,108,399,302,902,177,510,731,969,121,150,872,913,239,
274,110,739,688,072,371,575,919,182,246,174,604,415,197,801,051,244,878,190,
800,055,563,385,773,286,405,628,960,383,752,373,304,682,490,560,832,796,597,
854,611,022,895,958,856,070,135,939,966,163,693,641,003,356,237,618,070,724,
497,530,449,285,948,283,242,657,085,723,065,953,159,060,943,153,043,437,457,
186,326,905,652,009,950,883,484,534,015,419,267,009,499,448,976,358,844,882,
532,134,341,096,227,722,979,013,796,102,527,432,551,241,681,919,046,686,411,
537,031,377,735,294,388,920,932,972,768,172,377,826,368,207,017,545,045,986,
028,891,579,242,113,174,215,583,830,668,797,654,679,337,266,334,274,435,198,
471,231,737,447,566,143,420,529,078,065,411,856,351,173,379,642,046,862,906,
660,954,729,395,971,933,607,010,801,819,661,485,584,042,891,805,448,361,157,
948,818,785,325,334,626,131,860,284,457,715,745,973,419,654,065,520,137,456,
419,106,253,687,594,215,477,224,811,156,202,436,737,272,821,657,383,921,465,
465,318,432,247,120,427,848,408,539,117,845,636,439,700,631,666,605,526,836,
811,257,289,338,524,186,578,579,190,964,071,917,142,507,980,290,047,543,802,
113,218,866,158,496,668,414,789,834,771,171,210,489,380,460,049,792,845,733,
957,940,753,859,915,185,438,370,071,647,656,002,302,747,811,780,091,521,671,
938,701,774,328,898,113,206,806,616,384,423,983,994,972,626,138,912,879,605,
470,893,682,310,422,073,600,760,472,065,091,029,618,165,371,692,930,899,548,
982,125,398,882,796,864,169,655,008,939,719,852,578,868,092,352,702,627,430,
816,593,277,709,892,227,105,106,226,523,311,382,033,884,135,512,492,979,882,
719,508,312,888,238,242,225,285,284,076,398,068,937,428,968,712,089,529,621,
901,785,170,110,865,589,854,164,752,245,519,364,839,831,022,411,420,054,405,
565,555,361,632,219,549,740,044,603,173,095,900,279,871,740,919,513,334,825,
118,896,295,442,303,041,785,810,942,547,970,129,159,740,493,029,384,434,113,
710,800,535,591,653,752,743,289,336,811,623,393,987,663,150,930,520,430,956,
359,043,098,351,645,265,649,300,245,955,105,150,087,794,800,047,136,332,497,
041,682,550,359,408,394,004,729,197,279,814,797,627,152,310,332,079,033,178,
314,788,393,179,325,010,445,793,554,599,925,541,433,617,727,267,521,736,033,
792,577,280,531,151,285,321,914,474,615,236,322,755,102,382,488,327,556,260,
695,524,668,644,115,429,623,717,687,441,212,979,876,137,933,089,121,559,686,
413,256,730,805,247,007,931,813,620,279,146,352,205,171,791,605,548,757,314,
739,216,491,751,267,637,282,159,653,062,997,873,446,574,263,886,237,944,823,
910,612,993,216,029,559,003,838,298,468,685,591,674,663,116,259,007,870,192,
595,144,752,116,177,722,403,465,450,521,028,131,228,571,535,467,155,189,065,
158,696,478,107,077,596,590,876,091,307,530,044,929,883,023,447,528,176,639,
766,163,803,637,780,936,604,496,071,797,649,213,653,052,040,604,441,126,090,
010,834,475,531,195,205,686,081,857,433,178,011,190,602,462,012,333,610,521,
002,853,833,586,471,254,717,817,666,624,437,678,261,224,042,743,305,343,715,
352,767,533,643,658,772,725,348,841,360,063,783,744,494,303,271,092,056,493,
800,800,203,340,919,146,130,411,934,203,375,240,088,281,199,275,602,886,964,
263,854,641,401,353,446,175,639,286,826,605,703,244,710,031,730,456,174,506,
229,661,753,475,177,607,396,658,843,339,737,278,525,226,102,565,663,375,990,
779,760,040,183,592,628,142,031,613,673,393,265,076,495,355,512,191,521,693,
091,677,911,740,702,918,743,510,932,475,386,180,032,596,643,256,314,515,552,
374,141,894,793,751,920,609,188,271,820,943,091,398,684,352,880,129,481,669,
345,527,234,218,068,172,992,803,378,351,979,991,384,909,770,366,803,810,302,
942,831,031,010,309,660,339,179,791,875,137,547,116,442,229,613,452,672,930,
128,278,882,093,486,814,181,796,528,608,382,363,307,197,578,954,898,816,432,
932,214,529,859,021,758,415,861,882,268,413,370,755,488,716,830,705,078,271,
293,997,039,175,136,891,528,129,735,757,743,024,803,467,740,238,172,285,002,
266,402,041,091,276,188,842,111,679,049,796,884,172,022,769,128,040,658,346,
423,338,890,286,505,783,726,556,572,870,893,863,164,159,955,753,352,827,197,
215,191,790,690,522,812,482,022,082,326,107,185,922,117,842,814,848,345,828,
724,644,737,613,627,896,867,093,701,471,585,250,796,772,820,895,273,968,889,
854,486,568,477,286,611,974,463,957,381,635,478,343,382,413,278,259,550,493,
135,112,912,156,704,562,439,555,653,372,141,128,562,193,462,487,910,334,328,
129,238,773,238,123,924,291,198,378,811,556,514,202,499,628,519,550,627,449,
362,523,431,607,328,010,790,248,348,634,390,653,573,360,278,420,994,424,912,
062,456,845,764,081,521,033,434,071,501,576,508,980,051,647,393,458,576,693,
652,732,938,764,228,326,924,945,523,105,403,073,045,401,925,999,913,617,021,
163,553,107,310,044,290,520,449,212,947,616,251,518,820,527,659,685,786,891,
765,960,590,496,519,081,157,868,598,213,441,237,816,224,558,732,137,001,944,
643,469,340,458,409,818,261,417,689,367,458,932,974,800,571,152,726,792,974,
624,237,087,204,264,099,494,172,652,390,733,504,915,155,979,771,379,602,172,
028,233,021,349,506,839,082,000,419,551,661,187,217,832,400,703,930,983,812,
240,624,366,733,084,999,872,206,444,550,647,903,400,601,176,380,371,643,634,
427,376,251,288,628,772,081,981,047,643,472,090,727,271,697,349,774,608,975,
022,380,843,310,216,609,479,378,445,288,282,124,609,428,889,429,638,253,185,
398,304,016,428,038,538,920,418,891,553,117,437,355,765,190,680,211,182,475,
369,288,306,017,868,712,220,598,608,599,335,552,349,927,441,531,889,333,142,
606,506,242,237,138,784,257,315,033,024,465,611,302,977,375,836,508,884,118,
944,386,112,422,670,288,317,619,216,391,979,419,327,116,689,601,156,348,627,
588,110,224,180,767,678,351,003,321,223,829,386,023,979,290,756,600,065,965,
396,785,574,646,969,399,714,442,902,077,921,082,823,549,539,320,257,450,332,
100,870,363,255,414,501,604,195,599,639,864,509,852,447,659,325,690,691,397,
721,291,110,143,653,788,902,618,713,427,563,248,266,118,308,153,689,481,922,
682,803,908,832,595,268,871,797,148,590,497,307,558,546,764,165,021,655,347,
174,991,270,965,339,052,906,994,084,434,998,487,953,789,065,307,140,459,687,
792,501,564,300,973,008,432,757,021,842,543,867,514,619,362,790,565,244,255,
839,120,389,668,652,484,677,023,132,799,330,780,474,317,780,052,523,706,820,
471,211,085,829,427,016,001,449,104,127,707,432,474,450,979,544,737,501,319,
703,014,590,164,149,256,828,746,373,861,623,769,395,436,643,506,945,498,655,
728,422,941,014,030,851,333,032,682,197,314,946,476,103,832,619,402,556,674,
619,323,904,115,018,268,469,194,813,939,283,145,312,382,635,134,570,021,825,
690,630,347,996,190,728,461,151,509,887,749,035,510,550,166,015,130,842,094,
105,539,396,994,964,356,918,777,526,175,369,641,722,980,110,798,202,443,999,
328,136,124,657,309,842,772,619,550,513,901,808,474,285,255,083,964,331,264,
376,063,342,496,696,465,384,867,395,754,465,807,460,536,518,723,064,587,401,
284,356,827,452,502,116,895,701,738,088,781,723,112,317,138,725,317,985,000,
374,840,721,548,720,259,682,394,870,060,069,537,540,760,891,263,969,250,258,
001,362,838,801,799,220,719,932,550,013,692,345,879,855,776,803,271,467,926,
754,826,429,376,614,115,963,064,688,015,501,498,675,037,253,037,704,766,247,
473,175,043,763,171,628,612,030,585,622,451,443,661,438,842,182,233,401,968,
802,703,552,190,932,649,830,895,065,233,956,277,479,086,659,595,689,240,568,
194,397,699,089,268,870,586,796,713,013,891,352,635,820,643,511,793,416,325,
322,330,117,814,838,319,997,083,377,681,739,002,098,981,945,375,916,300,797,
747,262,201,332,340,931,095,641,972,751,578,936,106,492,455,675,224,420,756,
381,868,561,818,161,786,275,927,019,184,365,257,045,660,564,676,429,860,150,
963,388,284,985,075,600,576,611,404,542,292,109,711,370,195,824,109,071,567,
143,720,044,796,100,910,677,041,171,668,660,433,641,705,995,008,446,093,108,
259,682,101,395,828,995,055,986,003,028,777,629,720,125,030,976,735,837,714,
480,850,841,416,807,544,033,204,616,355,089,182,274,238,493,963,972,598,730,
696,295,989,374,557,929,026,907,003,687,713,121,509,069,183,525,045,371,644,
850,031,350,914,685,503,969,529,319,275,628,276,247,306,825,324,212,815,087,
969,692,902,972,306,611,731,975,726,439,149,898,233,397,896,105,122,604,283,
623,404,335,188,776,289,395,220,762,700,500,513,672,764,299,030,949,035,892,
622,316,322,260,124,172,519,452,317,336,321,836,435,944,190,074,285,805,156,
018,629,275,476,897,353,483,921,013,312,507,728,032,590,554,119,955,747,141,
609,641,504,482,991,851,758,178,913,680,010,597,918,119,038,550,615,758,602,
591,362,494,647,779,445,810,478,078,222,269,488,199,401,568,005,630,215,632,
975,228,429,964,387,481,382,624,646,875,828,204,644,649,003,978,577,796,985,
554,472,723,390,571,520,796,067,389,079,777,584,984,876,835,399,613,884,643,
813,801,964,333,870,878,947,351,943,963,744,226,797,336,850,501,548,142,908,
310,333,512,322,815,662,914,005,631,481,281,602,509,394,421,732,634,136,263,
779,522,854,959,505,357,279,206,308,953,243,554,793,043,906,046,985,323,732,
317,625,071,584,544,123,382,596,278,723,182,595,458,379,770,247,490,487,045,
744,584,505,656,611,238,653,377,038,360,114,081,144,781,269,338,910,150,413,
678,926,351,096,482,161,270,185,162,719,675,390,073,129,794,833,037,375,853,
162,020,728,164,620,366,989,359,849,395,008,833,245,820,939,788,197,878,142,
489,471,185,127,646,556,825,661,522,027,715,806,552,885,453,091,176,577,142,
047,147,033,417,278,058,142,605,914,680,640,457,900,528,944,619,203,963,760,
492,852,597,588,143,451,013,272,510,750,991,636,409,317,008,134,841,840,193,
363,451,065,780,842,914,713,468,022,235,981,797,756,675,204,723,176,961,715,
462,344,198,885,352,736,364,491,558,696,611,898,618,548,036,562,612,418,432,
236,390,829,999,741,098,107,493,691,472,606,460,779,708,094,239,538,719,142,
184,356,357,452,670,827,657,646,276,786,496,073,611,629,174,345,061,863,268,
164,318,210,444,321,334,031,354,527,611,423,323,309,915,169,584,440,734,886,
617,060,153,799,891,456,966,861,352,828,375,856,926,559,029,355,386,474,294,
355,364,701,295,615,047,782,799,445,521,225,423,217,632,388,151,164,223,624,
718,024,366,310,117,582,093,514,829,210,377,320,487,067,729,207,253,160,318,
919,278,298,787,581,494,206,961,703,911,850,438,731,197,602,812,426,911,422,
933,810,010,548,410,898,248,917,615,675,135,389,482,489,718,218,514,573,834,
060,918,380,076,393,735,751,571,225,291,435,129,006,167,694,128,970,983,306,
308,124,214,061,879,158,807,888,402,783,418,434,745,660,093,025,705,517,847,
809,049,124,131,213,349,085,445,749,399,654,353,887,783,404,803,779,297,974,
914,852,136,588,010,678,099,016,087,514,886,319,465,490,463,672,373,281,404,
551,138,790,390,073,080,092,785,379,482,778,743,149,882,222,223,086,492,062,
274,265,594,282,363,693,283,078,742,587,182,189,007,737,036,393,665,513,185,
343,096,198,840,363,810,273,139,382,685,694,200,744,375,357,763,296,283,284,
581,686,277,843,461,240,821,245,866,236,582,907,772,365,570,163,467,473,760,
720,909,610,281,802,521,730,539,412,519,195,286,530,130,122,936,255,414,101,
063,749,506,574,634,975,500,545,041,432,763,233,896,008,455,134,126,712,039,
830,655,611,674,929,507,779,902,753,913,198,646,937,280,230,947,217,472,935,
617,324,190,133,802,717,138,093,620,393,681,084,386,236,032,826,721,026,483,
820,836,835,959,498,727,183,764,633,733,539,215,162,949,632,022,575,352,683,
374,767,670,716,521,246,392,347,133,981,893,455,359,605,202,925,990,822,393,
654,872,615,208,275,490,539,250,369,270,487,619,296,763,567,442,899,392,630,
995,549,130,311,757,276,078,643,613,887,606,098,415,875,852,835,956,305,303,
380,596,387,070,251,319,730,185,752,505,697,861,909,088,167,897,728,275,885,
571,319,264,008,526,958,400,256,986,795,093,575,603,696,145,919,830,346,727,
194,233,748,289,348,727,023,729,944,690,217,765,713,061,058,971,629,918,790,
330,574,816,085,425,510,833,817,093,748,285,592,053,446,028,364,998,953,262,
030,049,677,868,588,571,188,667,824,816,925,933,548,915,514,071,087,695,461,
367,545,306,012,572,287,784,473,036,242,940,739,862,601,930,836,050,949,682,
274,429,864,250,168,167,222,469,830,836,088,919,941,879,671,558,962,344,972,
095,367,350,260,425,610,306,976,844,276,443,109,544,127,649,104,494,797,266,
069,182,046,150,426,831,128,430,843,923,555,480,134,069,369,696,043,355,738,
607,653,583,591,219,129,959,035,115,745,430,842,369,346,152,841,321,127,049,
896,024,738,017,978,751,527,803,679,931,798,475,735,826,489,061,348,817,327,
869,494,999,905,099,774,618,591,723,334,706,940,823,287,927,112,357,242,549,
756,321,461,643,159,447,549,200,243,469,300,121,319,693,705,919,688,645,285,
533,163,712,454,670,125,838,126,667,784,542,373,788,476,619,915,813,931,699,
870,734,110,253,577,867,027,231,831,651,937,831,818,555,762,094,802,196,510,
710,203,389,379,107,851,622,203,882,463,231,034,361,094,511,413,429,590,875,
722,033,589,559,691,738,899,954,387,366,698,338,037,684,407,908,175,926,179,
858,213,402,582,849,588,475,748,009,737,740,638,032,924,740,364,938,014,240,
014,474,713,040,852,962,150,468,046,478,424,519,721,641,243,250,767,586,495,
199,695,829,572,910,843,037,289,361,951,104,202,645,712,468,258,439,081,538,
384,119,329,704,533,556,447,977,230,495,767,641,327,519,833,292,686,994,381,
665,669,145,997,758,310,318,930,874,160,968,867,127,344,564,175,851,736,540,
343,206,258,511,919,866,229,817,818,423,553,502,054,529,251,722,305,064,760,
498,263,496,184,589,473,631,173,724,763,485,113,333,127,631,943,965,361,060,
957,420,889,181,987,260,360,110,938,711,764,869,377,450,360,454,441,626,985,
813,031,362,444,262,935,823,419,196,024,014,627,511,236,503,870,078,992,943,
618,691,553,699,828,428,316,265,313,905,138,973,418,548,755,953,286,182,705,
112,255,105,034,879,301,887,390,631,574,623,241,262,954,303,469,946,846,326,
646,659,092,139,346,497,071,075,666,183,105,553,863,407,469,190,216,764,736,
558,771,560,192,162,058,220,740,331,899,314,257,650,782,436,502,694,643,400,
670,623,240,334,757,106,622,041,681,282,950,154,146,605,392,304,573,970,130,
727,767,242,766,835,794,166,285,104,166,934,660,861,959,060,402,484,904,774,
594,020,198,215,012,880,493,138,376,864,517,516,861,143,555,920,414,196,069,
353,029,417,632,382,210,103,074,965,547,812,598,398,948,305,811,895,862,666,
569,079,182,499,645,752,782,261,780,934,127,400,883,380,466,017,317,037,980,
772,419,378,442,864,227,651,433,661,293,378,090,850,668,244,258,297,424,225,
408,386,231,458,839,788,155,301,566,073,226,268,188,353,642,802,685,921,380,
012,925,842,706,524,757,613,509,611,057,033,516,080,781,971,033,187,340,525,
756,489,526,388,437,204,566,287,761,698,231,226,941,580,353,865,634,207,297,
068,479,947,065,592,668,474,643,164,196,391,013,806,968,161,822,086,700,522,
108,729,063,944,832,762,524,263,553,554,625,054,862,358,781,797,990,178,463,
066,999,887,719,275,333,590,219,391,233,239,543,854,323,192,143,867,497,330,
851,785,069,096,584,170,488,422,692,604,726,130,333,522,790,159,152,680,987,
813,566,543,444,573,385,494,276,396,617,463,163,668,340,929,830,962,225,646,
070,806,669,377,088,997,715,583,494,552,919,810,510,987,130,933,923,402,423,
915,117,011,622,414,216,510,263,176,752,845,119,914,281,867,510,078,492,510,
492,410,698,443,145,251,236,186,468,035,316,524,572,762,577,590,740,488,941,
513,059,875,168,335,727,352,607,284,521,521,169,867,605,707,037,837,867,445,
127,836,463,191,854,841,747,286,565,338,068,252,322,082,800,609,491,563,825,
702,138,934,509,379,159,291,648,461,462,169,437,530,800,758,507,705,035,677,
057,368,336,874,111,643,752,479,579,873,427,924,118,745,525,530,861,847,755,
778,420,566,486,336,106,854,132,524,075,396,085,650,286,672,197,661,381,804,
667,819,285,829,638,307,217,434,085,776,156,783,823,479,018,420,670,905,623,
422,579,635,435,920,678,680,416,944,590,624,164,784,190,659,190,733,958,819,
471,229,891,824,233,403,781,358,129,178,166,215,377,270,320,321,808,353,671,
406,322,397,167,851,095,277,508,338,020,822,255,478,827,138,298,489,749,469,
111,603,796,435,452,159,633,727,877,067,752,792,901,400,014,756,021,075,992,
815,150,496,418,281,220,211,010,538,592,110,728,823,430,943,645,620,794,755,
668,572,359,321,737,237,611,205,356,059,844,543,669,435,394,607,177,866,183,
754,752,320,005,182,203,411,145,800,956,947,546,813,290,556,707,500,328,546,
623,049,904,273,562,813,275,438,978,734,379,041,189,721,729,547,327,158,040,
809,118,665,565,535,289,772,962,853,148,557,971,665,812,068,471,270,314,278,
425,906,138,200,880,022,102,622,783,276,903,488,797,547,922,750,635,297,292,
218,331,511,191,521,238,151,377,304,987,151,098,034,466,267,602,882,389,841,
217,632,715,714,972,695,245,387,986,799,191,632,241,440,620,837,908,266,932,
796,895,864,954,440,357,182,723,212,376,830,993,380,861,858,783,681,526,541,
869,335,893,241,091,107,467,828,000,786,638,451,192,968,256,768,463,113,686,
346,852,295,719,223,798,654,529,371,506,680,093,199,081,837,005,590,827,061,
701,293,137,157,449,779,973,108,760,176,039,725,622,938,441,484,067,094,850,
841,748,414,334,331,688,106,287,487,429,801,969,936,947,140,454,249,265,458,
192,449,555,944,216,859,778,451,625,877,250,788,220,063,659,099,718,449,851,
866,362,356,064,253,154,114,689,894,806,059,355,850,110,293,559,941,566,352,
000,041,526,447,826,323,417,811,053,646,280,891,231,845,331,973,064,979,570,
293,092,702,424,287,747,577,452,947,807,493,554,012,180,451,692,110,713,841,
287,628,434,745,192,407,889,737,474,323,751,155,979,256,502,158,810,641,010,
117,583,526,971,126,409,990,449,187,647,054,664,244,868,557,747,695,787,176,
302,361,034,715,125,519,541,903,724,118,948,923,227,628,782,797,284,272,974,
564,665,253,657,832,168,055,960,447,468,158,644,781,406,098,929,723,844,890,
791,185,126,998,343,651,974,532,348,157,459,113,042,500,519,097,627,456,030,
039,463,192,754,034,138,304,075,619,810,100,094,710,071,058,528,444,803,839,
912,779,680,165,378,332,821,242,828,049,198,992,947,694,715,902,209,760,829,
054,181,268,762,557,849,864,787,033,664,044,316,857,625,885,244,028,645,536,
754,998,378,250,419,805,112,737,897,955,689,916,800,853,934,513,712,212,030,
788,668,299,215,361,682,844,467,863,963,939,839,778,620,807,233,531,797,613,
030,748,518,550,678,448,175,299,402,199,359,307,548,025,996,140,807,592,381,
534,730,315,295,800,676,681,456,147,431,052,854,493,020,560,299,721,441,680,
222,909,563,651,881,704,103,633,130,322,310,931,910,797,264,248,039,661,520,
947,821,066,504,373,930,877,735,627,868,686,387,661,315,435,825,872,099,791,
895,317,983,097,080,500,813,630,998,769,210,757,286,857,264,798,301,864,562,
381,757,448,439,451,436,286,939,515,141,744,985,355,188,863,233,788,447,417,
836,334,690,660,543,090,881,649,737,537,141,759,696,571,303,130,933,342,330,
772,274,965,790,180,831,625,486,731,229,660,904,479,410,533,798,812,899,697,
956,378,333,989,401,412,751,066,106,836,991,538,696,810,976,005,887,719,852,
698,298,760,594,303,150,372,990,197,138,824,944,974,769,636,975,172,087,186,
340,808,571,444,794,919,783,791,326,667,839,677,771,655,055,317,223,934,390,
386,273,711,628,852,709,452,094,811,391,555,757,988,243,749,900,566,255,599,
410,377,923,749,671,874,209,802,470,247,174,467,733,902,162,992,750,202,819,
631,472,463,006,356,860,463,429,124,382,432,530,205,238,515,727,903,886,582,
419,391,413,268,237,346,976,090,472,384,526,923,169,286,551,912,191,496,166,
045,029,777,493,379,499,414,023,711,642,138,886,999,554,014,162,774,679,145,
095,477,074,966,075,282,976,132,454,564,714,968,637,344,153,810,370,459,008,
359,722,846,947,765,787,244,378,229,035,774,262,461,327,814,523,671,224,556,
745,811,189,002,821,702,604,181,250,528,281,670,448,614,130,516,199,186,785,
867,540,372,485,468,781,673,932,801,036,592,227,575,316,200,313,645,617,147,
828,565,407,459,655,303,899,623,011,245,652,492,372,469,250,299,836,181,294,
482,154,853,730,661,696,427,701,512,942,269,383,255,370,375,881,237,234,525,
706,168,286,375,013,453,467,964,315,624,570,609,689,260,714,611,879,176,329,
085,300,043,535,263,509,253,009,731,350,590,859,560,551,744,433,461,134,191,
052,786,193,611,381,750,768,981,961,496,315,326,047,585,408,035,929,099,097,
826,813,431,999,470,056,712,023,951,179,953,705,126,804,850,801,872,586,370,
756,099,704,710,471,053,988,849,054,330,757,756,941,100,465,126,218,485,334,
430,246,951,542,666,906,548,591,979,902,194,362,836,801,234,998,641,053,987,
658,047,671,498,810,969,685,290,989,504,956,238,916,114,867,300,423,855,253,
966,994,675,921,544,007,892,943,154,673,990,891,957,701,579,138,393,553,943,
312,128,959,318,074,675,019,519,690,957,222,382,234,816,045,857,393,739,715,
625,481,849,625,207,496,974,209,480,101,571,190,318,872,535,143,311,673,273,
877,173,302,356,491,867,004,521,162,596,449,111,470,804,401,306,133,363,684,
264,945,177,642,790,304,743,586,316,537,572,471,973,005,216,236,755,671,729,
696,771,056,948,591,583,317,033,722,844,984,914,890,137,123,969,421,660,196,
499,629,032,406,877,305,761,442,841,815,461,630,661,606,654,833,841,379,515,
525,937,887,618,277,712,277,665,138,680,289,125,811,284,191,495,506,930,712,
467,301,519,715,204,246,964,521,956,007,059,286,071,747,621,102,913,806,189,
681,664,212,179,962,747,336,202,875,707,699,471,483,846,865,274,277,661,236,
974,754,603,505,612,577,595,941,037,451,988,230,766,320,447,441,536,038,924,
657,793,145,519,518,868,437,226,382,556,507,537,250,974,955,975,984,771,045,
253,394,292,102,786,594,236,945,011,680,554,042,568,102,975,526,760,332,554,
184,215,906,548,199,145,075,936,661,230,419,143,524,245,492,492,066,299,859,
017,442,455,897,382,334,658,876,862,815,328,130,390,356,186,025,667,173,132,
132,202,949,618,224,703,581,940,835,095,277,802,585,684,787,288,203,657,768,
781,789,865,458,260,292,673,324,523,082,608,689,440,266,368,051,566,496,306,
686,020,612,004,344,104,673,986,410,872,023,945,926,775,445,885,941,954,201,
219,796,462,374,478,715,336,194,940,084,548,708,459,586,081,403,641,167,173,
637,247,910,812,553,155,484,000,237,607,649,656,516,996,015,350,248,453,715,
615,592,213,671,083,079,706,305,634,491,445,439,312,150,929,284,551,759,558,
070,635,519,656,411,313,967,570,027,635,202,483,637,547,770,842,128,869,119,
814,678,718,848,409,746,268,429,334,977,050,443,426,615,940,181,884,107,312,
489,518,904,309,399,371,967,018,589,705,766,885,567,284,159,722,449,924,930,
196,786,595,427,767,224,762,707,433,708,234,127,625,555,328,675,352,997,771,
396,646,150,861,791,770,840,807,434,374,954,872,124,422,625,223,965,813,004,
598,797,780,973,330,944,534,439,477,945,834,540,143,199,628,152,999,598,662,
316,256,690,593,379,676,388,049,532,446,500,061,427,820,553,061,830,531,782,
342,493,358,006,478,800,648,384,367,252,513,594,584,211,677,615,169,382,111,
745,299,708,345,083,698,300,087,483,123,900,070,666,933,126,468,315,340,429,
834,598,574,931,255,010,472,381,944,834,917,842,100,068,655,203,818,097,492,
845,041,758,903,963,525,764,018,452,738,928,611,360,174,126,040,995,813,975,
969,943,451,419,548,940,257,212,286,413,179,082,901,980,085,017,233,431,917,
344,840,665,268,213,260,506,929,212,584,960,212,824,722,571,693,207,749,863,
976,793,444,865,058,471,724,524,553,087,133,422,892,067,375,713,114,916,459,
202,105,201,729,777,541,767,921,012,955,031,297,217,912,908,439,629,001,943,
841,684,285,133,317,462,244,288,810,188,745,578,809,861,482,558,862,984,088,
842,236,334,903,952,777,563,945,239,283,738,796,470,694,305,956,678,911,282,
467,391,667,432,863,418,766,235,676,352,248,889,264,856,917,742,307,091,803,
049,411,611,407,383,573,954,421,520,310,074,659,653,961,785,919,251,599,501,
268,377,775,993,690,924,862,640,884,370,435,262,441,328,534,674,050,322,945,
918,149,375,484,062,950,324,441,512,286,104,071,230,357,670,749,825,931,244,
619,256,609,011,249,622,523,323,199,153,152,024,713,610,356,062,612,031,893,
782,045,383,753,943,364,047,324,070,724,205,523,611,882,938,267,837,952,759,
967,918,032,507,397,638,297,132,881,962,359,727,869,684,161,684,558,982,494,
685,962,135,546,860,031,702,929,406,226,209,254,973,442,875,001,557,134,491,
933,983,753,381,703,620,056,643,899,293,274,945,797,010,963,686,404,172,706,
790,003,562,602,078,281,338,224,744,468,123,016,090,012,830,252,366,509,170,
838,167,054,407,797,297,261,010,506,199,277,111,860,433,944,213,169,342,019,
172,667,485,283,502,148,585,164,409,617,519,851,948,083,429,341,965,416,217,
276,068,613,821,029,560,159,427,615,629,957,528,936,665,308,141,317,478,640,
268,994,028,957,105,915,272,874,629,160,908,463,981,052,593,783,574,164,246,
572,123,134,578,547,785,484,148,226,306,939,679,005,457,394,848,459,976,562,
562,494,966,597,015,670,002,589,822,369,340,074,525,835,662,803,929,644,078,
107,643,750,409,967,749,426,976,456,376,642,034,562,365,663,876,339,788,645,
550,964,841,931,596,520,583,588,981,814,822,564,836,576,294,201,652,910,000,
198,145,424,937,077,817,213,790,342,745,145,089,224,665,002,980,167,125,161,
724,017,250,967,660,802,269,565,432,803,870,642,370,077,708,957,863,704,602,
264,627,106,768,657,115,972,645,472,731,534,479,748,563,228,239,070,514,647,
642,170,428,439,426,169,839,072,737,449,641,940,366,223,989,081,516,036,909,
348,608,120,362,784,120,045,913,573,214,326,587,216,991,192,696,412,566,084,
833,866,520,289,093,822,313,472,303,018,235,408,054,941,219,552,907,640,677,
149,773,181,339,863,622,294,951,857,878,644,614,616,314,327,626,539,591,335,
456,608,213,156,604,018,568,827,709,011,541,031,160,444,203,839,795,165,638,
324,409,715,147,520,003,904,528,857,365,634,655,898,290,661,929,433,373,985,
477,038,755,387,793,697,721,737,592,075,313,059,097,134,013,342,948,112,056,
286,385,756,270,049,292,509,665,471,598,026,771,239,058,306,117,029,295,195,
206,534,889,502,298,070,995,863,970,317,953,089,703,215,813,089,621,643,781,
087,327,836,143,548,887,079,976,194,577,074,643,398,522,268,102,997,858,173,
195,414,027,012,716,363,571,209,151,401,787,481,464,550,297,948,538,990,458,
783,286,653,563,707,354,763,018,459,597,464,746,420,092,231,213,233,913,986,
104,847,999,996,289,960,970,942,899,532,068,916,745,127,319,870,175,247,328,
523,282,500,498,003,463,697,574,094,631,177,837,841,088,965,406,336,654,017,
581,625,984,679,771,722,777,109,628,630,061,305,274,327,404,759,546,482,438,
289,668,186,164,564,337,669,801,063,293,339,074,212,483,286,383,195,527,533,
678,907,798,871,195,296,328,758,321,526,771,218,574,582,901,535,638,707,534,
458,674,584,597,704,057,142,096,253,409,685,319,333,567,115,777,243,098,670,
343,226,451,993,255,374,153,550,509,800,791,180,490,693,458,713,016,858,201,
380,874,066,049,560,214,039,681,646,053,484,072,202,092,856,125,391,587,672,
234,661,138,018,357,330,801,229,095,344,382,046,408,085,672,028,254,207,959,
588,691,871,516,494,672,829,588,352,324,447,998,963,883,970,462,478,511,537,
674,833,086,654,757,507,130,581,540,166,393,086,404,204,434,901,440,080,768,
440,784,889,139,140,641,924,620,137,891,339,596,792,418,825,268,125,087,102,
140,099,211,755,663,205,132,221,483,975,343,530,938,584,869,425,712,412,325,
338,487,755,578,895,238,786,021,701,927,781,291,158,245,948,241,451,214,479,
385,775,963,334,653,791,832,402,261,767,538,942,659,251,711,275,288,634,657,
809,130,061,356,305,656,275,235,371,224,075,711,578,200,899,691,295,239,770,
675,268,918,117,951,866,413,971,341,009,177,139,649,367,108,559,620,415,149,
801,754,999,746,448,893,012,444,126,332,690,745,332,190,938,565,430,705,400,
094,757,240,273,425,152,294,979,972,702,145,360,318,591,805,671,861,953,586,
532,649,950,755,955,507,531,135,834,026,563,795,900,894,627,840,183,013,180,
146,337,509,250,527,601,160,791,637,540,481,000,589,421,868,857,956,401,972,
550,572,292,177,782,307,702,263,847,327,814,326,613,988,901,075,521,707,666,
281,904,233,682,122,757,513,992,486,568,804,994,740,913,760,224,043,909,353,
867,605,709,153,042,717,183,307,187,170,978,908,251,800,862,223,502,994,161,
527,804,484,398,206,939,111,458,358,910,877,863,562,938,128,355,624,056,451,
154,933,564,751,726,355,894,625,426,902,364,920,411,843,076,017,980,817,669,
402,717,636,807,031,282,651,475,827,806,487,126,014,517,388,902,154,002,328,
185,040,968,539,297,379,571,177,949,939,100,022,646,739,499,714,018,923,774,
390,158,002,482,663,482,675,834,530,664,558,880,998,529,129,877,327,052,319,
564,537,121,323,673,637,111,461,020,238,494,470,754,064,133,167,106,930,914,
047,090,850,499,861,216,958,122,033,196,171,164,704,751,536,729,450,991,492,
246,281,678,178,803,937,421,797,342,956,834,999,841,550,137,795,917,684,299,
129,058,630,302,401,819,627,936,863,879,693,306,892,426,599,113,900,573,672,
481,253,050,878,111,623,087,427,173,073,573,834,463,820,314,875,581,592,952,
726,839,149,109,538,586,402,272,463,348,549,175,289,300,392,647,935,861,557,
788,374,983,714,549,494,999,688,174,002,937,939,341,945,118,772,766,063,806,
833,095,976,894,222,404,779,007,809,239,568,176,074,073,361,134,903,850,201,
533,248,235,708,295,064,869,579,747,538,981,770,257,664,088,841,053,615,800,
137,151,083,762,393,860,568,221,944,859,168,206,849,363,843,518,988,061,259,
355,756,514,898,656,490,864,482,510,473,367,045,278,531,031,804,014,328,760,
701,777,729,261,687,104,794,818,457,508,298,758,219,689,224,148,522,884,734,
754,134,516,596,982,653,043,374,598,384,548,406,104,951,792,782,172,898,462,
638,784,266,143,353,407,346,147,917,904,711,217,654,899,203,742,125,197,870,
824,859,948,784,727,880,235,362,045,128,555,993,533,809,454,512,571,665,502,
580,892,251,619,972,137,406,158,940,764,952,005,061,404,486,199,833,809,324,
845,616,860,118,459,813,957,100,820,460,694,208,158,386,404,743,867,206,324,
781,236,786,612,363,862,416,807,053,045,360,582,618,406,460,711,556,402,924,
780,919,736,337,765,135,730,994,048,768,550,624,969,683,875,092,726,114,799,
981,624,554,716,158,397,711,913,427,949,947,527,414,730,009,072,405,889,478,
699,195,936,021,031,055,414,164,044,394,441,996,739,383,945,606,322,635,041,
504,627,252,692,795,581,232,760,475,579,998,370,084,209,996,775,584,201,565,
057,536,179,503,341,236,766,129,777,328,088,458,242,962,164,978,603,972,932,
968,176,454,903,307,314,195,739,658,815,082,280,225,574,608,692,667,864,821,
833,864,164,677,339,853,281,406,760,140,683,037,581,725,508,627,267,836,998,
781,476,187,960,683,539,650,088,557,498,013,105,555,808,778,070,311,115,048,
770,251,927,378,523,021,322,394,614,635,426,887,961,199,121,422,421,853,134,
884,386,144,632,834,175,026,044,204,403,858,907,395,625,105,957,982,273,690,
723,928,155,346,757,333,210,885,236,052,225,780,904,292,057,335,591,276,475,
906,981,490,695,126,636,067,554,723,078,484,570,594,714,404,897,920,109,358,
636,634,056,309,359,915,193,315,720,043,494,032,831,571,642,233,851,407,073,
536,705,539,790,607,909,866,072,128,866,940,675,416,478,218,895,032,579,608,
736,608,564,241,372,979,096,174,867,554,442,264,197,171,495,692,594,742,667,
212,672,860,103,368,888,082,150,860,680,825,740,500,841,446,410,721,280,270,
641,934,413,740,745,684,308,358,325,446,310,573,118,885,264,969,859,698,320,
383,101,648,413,600,635,735,524,378,172,066,610,786,989,720,619,927,748,706,
730,959,443,237,301,353,874,072,843,404,891,070,504,470,652,240,752,074,415,
210,438,714,619,325,371,140,712,322,171,195,150,704,606,926,227,358,355,198,
071,639,235,545,128,048,432,474,178,718,980,629,454,776,773,849,110,379,413,
610,539,687,877,464,636,672,876,517,531,462,162,516,476,301,522,964,951,199,
194,344,788,992,468,217,955,860,171,737,518,877,476,164,203,420,065,742,035,
447,985,130,129,657,306,544,721,552,964,337,601,149,155,024,396,965,248,651,
468,171,128,491,678,170,515,682,635,975,406,232,805,601,010,710,949,863,558,
907,919,003,589,099,651,359,137,197,323,941,518,982,285,298,112,845,494,137,
246,226,240,748,337,581,294,774,585,057,049,372,574,356,643,564,253,283,843,
724,789,665,949,396,154,439,574,665,448,112,803,323,361,986,894,943,684,524,
824,354,940,814,975,464,240,806,573,414,727,758,621,322,181,237,290,352,126,
736,838,721,709,345,317,191,539,743,426,160,715,147,253,346,832,017,828,733,
588,974,069,264,474,341,396,654,285,589,137,614,039,981,349,093,746,217,752,
132,083,077,733,756,694,070,281,238,682,730,408,803,147,997,918,548,093,486,
850,310,267,565,656,143,829,473,944,534,413,867,995,668,559,931,046,293,580,
319,871,583,603,804,106,506,373,634,551,730,029,937,240,081,764,327,009,577,
362,040,975,257,073,560,753,264,156,783,787,436,273,473,450,226,832,685,307,
231,684,252,160,250,288,293,670,484,929,665,142,395,362,278,089,165,273,046,
728,670,859,072,671,792,523,674,776,003,026,295,655,286,470,346,897,508,058,
630,746,890,490,156,993,734,624,621,603,050,985,602,853,138,611,408,385,091,
872,932,744,567,098,054,719,043,408,741,545,466,279,228,255,793,402,853,588,
536,262,207,980,502,428,593,252,536,696,261,558,329,586,812,586,018,473,739,
641,112,809,166,435,721,193,373,481,910,142,846,915,339,716,480,294,606,275,
344,395,770,839,078,925,050,774,415,484,437,745,064,468,333,661,746,765,229,
616,662,748,968,116,687,000,469,798,253,461,686,311,455,688,888,613,989,790,
026,980,647,966,300,582,891,713,723,291,333,121,784,895,765,332,927,080,835,
686,422,390,055,187,855,001,246,109,426,268,320,717,044,612,470,320,141,328,
983,215,241,451,719,201,675,471,583,416,446,227,673,896,085,712,741,367,130,
845,445,427,031,143,645,931,171,365,762,767,895,159,059,059,378,324,246,515,
747,804,936,052,261,797,609,329,820,363,259,344,319,599,386,461,153,142,870,
427,468,255,527,978,815,230,836,110,329,508,430,888,628,922,789,081,420,371,
649,420,133,447,228,154,668,121,649,109,771,635,699,641,472,667,492,062,595,
342,068,490,145,318,924,692,355,609,957,544,760,958,144,599,565,875,408,151,
320,680,106,843,607,171,641,510,375,607,354,123,667,346,843,889,398,540,078,
753,183,760,395,949,291,911,987,138,477,695,072,513,727,560,827,942,714,862,
592,879,859,974,545,130,277,037,238,857,492,444,186,836,948,480,516,202,846,
460,651,475,328,011,580,029,202,223,039,541,334,352,037,082,959,682,997,374,
381,087,132,759,908,689,114,262,746,495,081,645,560,575,746,228,240,646,131,
794,148,978,915,727,879,424,146,826,687,642,982,160,856,116,284,005,408,601,
661,337,480,425,118,436,065,026,915,476,221,865,449,220,755,215,008,330,659,
650,301,753,770,149,373,155,217,180,393,076,636,166,574,268,592,249,916,743,
396,630,034,937,437,587,290,305,575,974,737,297,923,506,988,514,554,684,844,
805,861,251,884,356,161,053,864,039,509,241,765,270,186,649,475,462,297,470,
369,565,966,091,344,392,789,986,436,073,449,001,664,027,957,894,982,720,790,
985,758,205,100,501,925,364,182,716,067,266,725,360,972,539,864,284,763,750,
536,407,548,779,835,321,730,491,524,197,376,560,330,440,863,815,424,926,943,
200,188,526,317,751,537,789,940,027,855,504,416,841,729,270,876,594,388,946,
475,370,726,439,537,152,707,543,779,802,441,262,048,549,787,009,734,808,395,
686,986,249,627,324,103,075,216,321,988,447,643,985,212,261,402,324,767,270,
399,456,663,911,165,022,829,062,120,234,004,111,324,373,811,893,518,131,130,
879,488,270,467,156,650,546,437,250,724,155,494,327,373,738,024,770,306,938,
078,359,512,710,896,449,499,505,846,083,687,277,222,197,183,274,536,539,927,
144,222,859,363,683,536,174,525,277,672,082,579,890,852,247,392,293,340,596,
816,547,130,560,829,387,796,050,009,019,874,704,240,590,690,867,424,105,584,
248,044,837,009,977,670,456,281,609,336,478,878,004,709,791,173,730,810,810,
190,678,144,297,780,603,651,530,929,076,668,704,502,021,906,457,326,445,357,
373,437,391,255,045,329,302,269,839,731,523,307,160,790,737,107,409,750,624,
776,562,409,776,007,383,712,384,626,344,639,133,699,117,248,328,485,098,084,
792,688,120,378,223,186,774,358,725,283,421,481,798,906,231,412,597,711,408,
008,143,111,856,758,831,632,900,717,578,296,877,829,609,470,457,855,936,842,
507,491,919,185,418,348,555,702,666,222,770,722,121,353,972,544,080,398,384,
150,237,542,701,236,692,123,809,576,197,273,104,852,673,036,745,923,374,166,
621,286,496,335,213,381,414,127,649,740,249,234,689,946,096,976,721,748,757,
082,934,387,067,587,300,894,234,868,551,756,903,176,418,630,982,228,693,551,
273,573,997,753,189,372,047,310,195,108,195,606,800,292,938,576,814,756,725,
051,539,712,439,106,414,772,993,061,027,863,042,896,477,997,849,394,942,690,
992,702,832,164,041,386,421,047,270,495,034,565,551,389,071,768,548,921,592,
940,532,950,065,023,541,121,661,590,341,584,461,587,276,493,296,957,440,237,
535,772,964,706,754,118,708,467,722,785,351,113,836,306,581,553,658,507,177,
129,749,291,445,871,017,700,615,163,360,505,990,566,331,949,397,660,578,070,
204,867,704,981,273,836,873,492,267,277,886,285,876,192,352,062,288,620,631,
567,887,213,173,413,734,183,371,701,319,574,252,834,331,699,459,776,918,880,
405,665,816,599,602,214,380,281,070,589,585,464,807,103,701,312,565,175,379,
554,167,646,550,121,949,683,162,498,760,844,980,891,918,000,796,973,815,804,
597,502,642,950,081,160,959,386,390,439,256,787,806,000,299,841,770,204,798,
051,372,265,305,554,613,860,146,467,843,721,604,055,504,715,259,747,920,197,
218,403,866,676,954,852,909,604,762,145,677,205,225,907,707,160,026,821,389,
131,765,152,601,983,528,557,652,807,427,594,178,756,876,846,903,673,093,906,
260,841,784,136,455,885,752,009,811,973,138,786,913,566,604,214,975,057,489,
506,384,955,974,787,690,316,246,471,824,180,497,935,673,615,022,246,858,763,
808,856,218,096,120,204,421,709,619,858,040,852,717,793,502,951,522,939,937,
563,821,687,582,341,765,141,129,509,012,149,630,223,145,502,874,575,800,428,
278,938,266,866,541,049,055,525,970,874,676,613,893,925,379,726,227,003,969,
245,892,241,045,897,001,425,001,338,427,828,387,776,341,871,118,785,525,052,
931,758,485,452,199,063,027,281,479,753,414,794,731,917,311,008,877,353,912,
024,917,494,405,333,684,144,800,307,072,454,346,368,887,763,096,530,168,328,
746,525,189,916,110,438,946,648,277,873,727,073,540,007,373,850,334,139,415,
889,063,301,448,250,525,093,113,622,841,621,798,178,911,683,954,535,245,243,
995,082,818,421,821,117,943,527,548,397,268,820,301,505,927,265,193,348,296,
525,313,909,867,663,873,855,626,528,653,154,920,643,355,594,774,629,995,422,
116,081,324,599,549,696,566,552,934,520,150,717,308,128,610,009,969,338,439,
733,124,508,593,940,086,707,973,299,100,504,295,319,141,555,281,121,976,253,
747,313,921,309,222,077,131,625,839,497,172,525,158,940,187,106,917,618,400,
328,039,242,497,741,846,244,077,009,740,039,944,990,733,452,376,175,142,111,
367,550,792,641,877,970,819,486,697,684,661,527,255,700,770,319,052,545,703,
857,361,545,352,241,021,692,541,646,028,735,201,362,350,495,181,720,515,363,
566,493,542,833,452,237,245,704,277,925,853,886,162,311,827,700,535,095,770,
395,251,857,733,059,205,693,232,204,946,315,379,671,847,729,802,706,807,543,
302,750,511,879,139,278,025,323,041,283,626,240,166,746,514,377,869,542,535,
997,999,570,272,637,025,388,263,494,407,262,298,604,826,738,798,095,570,276,
946,812,733,718,931,296,095,956,418,346,830,623,089,293,335,065,997,100,146,
949,753,482,460,823,344,192,227,317,910,470,606,751,236,250,091,175,548,879,
224,912,828,934,413,460,442,821,559,699,270,921,376,137,274,390,452,465,872,
346,112,739,170,948,660,784,670,663,288,761,006,047,868,349,990,322,306,379,
499,560,927,653,000,706,304,291,846,869,500,418,998,635,158,214,136,647,278,
462,451,648,829,729,679,760,147,785,686,648,457,442,797,619,508,754,236,556,
216,717,908,136,634,452,682,725,201,453,025,217,042,130,247,190,291,155,071,
324,079,411,683,578,866,268,843,623,681,659,104,547,812,048,971,171,585,642,
181,284,517,165,748,853,080,962,664,853,065,648,334,869,970,195,276,054,349,
940,037,106,472,434,987,818,141,137,860,887,595,751,179,609,066,484,394,755,
565,402,367,700,194,444,168,794,621,164,844,932,983,574,199,706,317,481,563,
901,799,056,975,812,276,320,278,028,708,009,969,849,546,862,788,190,874,884,
750,428,161,692,424,121,495,790,952,098,637,961,379,563,762,616,956,152,668,
565,739,122,894,977,035,303,618,906,427,005,275,207,635,577,270,598,790,942,
971,388,771,437,185,796,835,737,783,566,230,154,722,154,139,674,276,505,376,
483,596,676,799,170,433,786,201,042,831,212,506,305,288,693,235,486,334,385,
861,779,029,623,591,675,268,447,991,278,904,732,265,845,011,573,818,251,553,
588,391,631,725,409,392,592,917,324,633,672,565,650,504,235,184,957,945,497,
117,012,420,257,631,499,746,748,566,546,571,500,181,548,193,149,935,608,384,
945,156,297,763,349,429,604,450,788,646,263,373,059,160,099,034,049,077,767,
755,561,109,421,946,037,961,481,320,082,085,712,418,370,025,772,458,784,492,
434,670,180,820,163,738,508,139,048,440,290,400,497,948,593,774,041,795,256,
374,462,031,909,661,417,354,760,821,752,180,525,412,871,051,253,742,532,534,
973,524,692,395,825,776,477,117,179,830,803,099,447,267,896,638,769,966,745,
230,179,708,506,058,406,759,601,623,655,097,501,067,285,108,477,985,974,216,
182,242,056,649,556,263,049,352,139,718,153,186,401,930,740,744,239,236,541,
427,067,313,543,079,861,825,753,940,298,528,872,520,407,456,328,936,338,160,
752,858,750,685,329,355,269,008,157,181,785,027,628,087,729,719,968,955,923,
520,348,788,503,711,719,701,428,505,188,081,230,483,040,825,996,161,508,759,
634,325,998,106,697,075,502,630,950,045,167,370,932,583,003,038,246,498,671,
153,919,116,262,978,377,528,407,101,694,550,361,259,531,543,731,564,528,553,
015,953,101,670,578,682,533,273,022,149,811,593,240,949,969,353,430,856,807,
623,960,259,985,249,930,242,371,872,369,339,159,252,809,844,510,840,856,818,
546,974,931,576,803,203,391,353,731,909,087,208,168,309,669,847,300,804,512,
756,307,278,964,298,319,517,406,470,125,252,859,470,375,066,423,581,503,239,
658,550,415,306,085,819,251,212,838,159,394,257,832,253,179,386,935,378,090,
502,855,105,379,643,200,913,613,166,329,844,507,052,657,531,772,483,522,134,
273,962,671,696,358,084,506,553,102,225,046,568,218,444,480,890,007,765,028,
600,817,658,156,588,906,096,237,794,592,951,905,623,759,315,974,606,538,740,
307,828,995,945,376,788,791,732,344,925,015,310,085,109,001,969,321,603,856,
572,546,919,471,506,844,642,131,071,383,231,976,719,100,610,558,108,379,670,
917,627,564,067,859,179,342,243,259,403,523,376,940,985,299,825,120,585,819,
083,376,149,576,666,178,338,034,202,996,460,592,688,847,235,881,934,941,839,
473,384,499,564,764,058,053,722,268,215,458,802,836,493,877,427,478,858,838,
146,913,193,711,547,530,220,323,687,201,133,925,923,055,991,065,656,905,026,
487,917,075,862,785,794,466,129,688,570,614,856,566,746,273,822,002,167,555,
647,033,494,815,142,584,568,750,597,006,209,942,022,918,631,850,151,745,002,
316,143,416,010,843,093,171,643,951,904,642,373,635,950,290,345,028,567,709,
556,876,081,932,970,766,197,933,580,492,037,340,742,646,103,363,520,621,695,
498,730,027,759,530,555,095,726,471,565,440,722,229,790,748,214,214,758,746,
908,772,660,769,547,792,717,894,402,698,119,533,686,188,690,511,319,691,650,
878,673,120,173,535,647,081,431,957,455,194,994,116,525,898,410,578,478,486,
508,925,896,978,339,368,128,286,638,613,668,399,357,981,190,593,238,553,706,
738,808,517,393,846,175,499,620,531,875,451,196,463,175,695,892,983,579,717,
391,840,889,627,937,747,463,972,280,251,251,983,948,888,522,796,943,293,325,
073,653,613,654,488,254,301,365,815,660,157,368,550,277,634,179,083,871,761,
748,522,120,170,713,006,925,594,492,538,426,036,637,431,152,192,253,543,146,
360,442,335,808,645,577,124,931,466,213,275,428,123,528,681,521,617,953,517,
471,676,538,358,930,343,043,942,385,468,602,697,530,247,053,701,027,780,952,
621,551,640,300,807,938,646,367,987,983,987,409,841,806,013,475,089,512,217,
597,116,390,321,933,827,621,706,892,963,591,467,210,651,206,347,345,092,618,
005,819,016,515,350,082,011,114,859,290,572,704,782,962,477,999,098,433,607,
316,786,042,936,151,115,502,571,204,192,270,337,539,845,183,867,356,287,730,
313,901,223,321,881,931,881,326,190,607,163,518,784,909,955,890,398,136,892,
959,146,376,674,582,053,628,770,803,444,775,938,704,984,464,621,119,618,332,
495,948,676,327,561,716,431,774,035,962,327,675,486,772,298,253,258,957,368,
354,141,067,325,441,143,828,476,337,272,374,916,640,788,616,270,552,269,066,
650,914,799,660,249,974,320,684,197,725,052,833,962,586,208,919,751,202,420,
126,073,675,249,812,403,893,136,569,890,352,127,792,113,254,046,194,483,708,
592,755,196,253,860,544,444,506,117,097,101,429,706,027,730,874,919,503,009,
505,426,461,081,223,834,198,813,775,145,851,821,720,246,030,179,685,685,644,
298,938,990,286,815,671,257,897,086,035,422,805,658,405,735,416,073,518,277,
652,463,442,163,951,000,038,727,136,199,205,460,774,270,254,831,801,884,798,
538,682,194,620,437,328,438,226,815,135,249,109,480,804,893,789,530,520,579,
514,051,044,961,876,855,036,696,677,234,818,492,787,174,867,889,219,755,317,
208,904,422,040,181,523,810,184,056,439,549,257,485,790,444,642,778,284,438,
971,563,502,388,772,669,968,880,121,684,129,161,847,925,571,909,861,596,610,
567,604,287,441,281,871,980,215,228,906,760,040,837,487,043,207,190,741,628,
645,255,352,675,363,995,927,663,111,799,331,762,058,012,779,162,800,060,518,
913,913,356,316,994,554,736,445,530,367,610,596,557,052,950,490,152,824,710,
586,813,782,529,995,805,837,497,413,635,132,858,149,587,558,872,639,713,662,
785,627,982,816,859,973,048,341,507,677,269,688,001,300,563,021,809,334,623,
763,496,592,127,356,513,927,349,819,089,011,719,538,676,838,816,962,446,595,
022,037,046,285,422,925,800,278,434,859,457,955,793,601,309,872,203,016,156,
319,377,783,965,305,251,539,308,127,885,591,440,987,413,591,339,342,332,401,
651,018,179,067,130,925,784,119,467,858,712,252,666,447,062,996,061,954,087,
827,216,836,484,341,709,141,999,843,771,509,892,660,195,899,548,971,182,607,
384,503,903,232,364,100,882,000,383,727,774,571,278,588,606,618,630,531,058,
547,441,573,179,089,624,971,615,228,391,909,238,678,399,536,732,295,742,703,
208,701,903,719,532,613,219,699,217,660,063,550,232,467,433,468,195,729,529,
336,289,662,202,203,575,049,457,418,566,167,438,943,062,338,691,414,039,997,
585,945,322,143,274,893,659,476,872,576,093,765,136,982,512,201,140,264,964,
246,912,798,287,580,269,664,266,526,144,561,011,074,413,139,639,425,240,077,
136,480,142,389,025,066,448,514,458,486,340,154,963,034,081,040,161,085,921,
843,144,488,439,468,915,816,181,499,893,083,374,393,685,666,169,203,474,096,
764,085,794,783,428,809,810,892,056,244,963,367,995,220,641,009,453,525,829,
646,095,460,254,209,208,795,644,254,872,232,152,097,412,670,181,141,141,956,
688,932,211,534,153,797,398,498,059,788,368,858,811,505,724,294,512,063,487,
778,729,776,209,694,552,487,353,053,901,854,074,129,230,595,235,266,925,589,
228,268,265,076,203,187,058,067,386,198,642,276,935,624,681,485,796,063,006,
413,290,014,520,338,538,273,478,412,232,511,332,079,679,339,470,303,094,720,
857,853,736,944,483,066,032,585,666,901,484,487,352,292,133,380,139,563,276,
142,280,987,767,581,212,300,865,509,743,887,393,392,322,046,971,046,563,547,
946,910,830,976,229,360,472,669,770,483,680,392,840,042,358,108,367,668,283,
051,817,484,768,593,718,889,102,919,491,638,600,347,425,056,739,100,417,538,
837,095,772,531,520,207,305,779,303,071,586,019,171,756,706,047,622,110,587,
759,116,485,466,343,947,438,287,320,631,712,626,819,305,729,413,085,073,913,
911,660,342,060,610,352,595,693,765,783,981,931,720,055,662,170,709,934,422,
899,587,708,062,614,768,833,889,981,083,007,935,647,768,024,138,382,375,432,
215,209,412,981,373,009,681,366,201,663,344,503,597,899,996,642,202,273,557,
419,488,584,610,378,964,316,123,984,745,468,273,326,809,829,539,378,676,020,
963,043,474,784,362,877,755,452,724,478,407,546,741,074,936,474,815,921,399,
140,625,401,161,647,239,902,194,491,606,951,701,738,114,180,243,163,613,425,
064,692,883,708,102,277,057,781,841,609,613,692,865,002,521,490,728,308,805,
997,156,381,111,170,926,084,724,458,709,522,207,821,119,032,691,468,986,113,
429,522,914,092,461,433,506,668,335,311,890,739,610,274,554,525,973,810,947,
579,176,783,256,578,383,769,014,009,194,756,192,149,533,495,227,126,000,402,
537,224,714,123,748,608,246,047,088,717,220,336,011,815,124,322,920,474,988,
738,152,506,483,130,745,625,004,017,928,021,094,405,668,196,371,553,407,287,
484,953,514,429,852,991,018,722,906,746,153,584,507,966,510,262,984,143,551,
573,149,759,186,689,356,449,497,146,624,768,499,906,619,258,260,291,521,144,
731,532,718,436,098,228,257,868,027,278,210,405,366,035,502,739,572,544,517,
147,091,717,228,655,678,690,652,852,636,677,833,170,213,358,290,796,305,012,
680,039,525,775,497,089,524,651,340,394,402,230,531,946,411,806,147,854,516,
984,789,520,308,680,855,467,229,336,113,929,971,530,924,893,208,107,272,830,
350,349,875,854,213,691,415,004,549,190,127,637,813,080,871,723,571,754,254,
957,733,219,887,987,589,826,395,852,836,529,678,435,401,532,930,336,350,241,
564,847,688,292,877,682,022,853,887,783,598,661,244,135,205,796,282,856,785,
988,435,401,299,205,697,577,722,558,978,534,009,775,101,656,387,274,197,576,
992,899,498,994,878,531,134,947,989,028,772,031,360,133,667,585,833,772,642,
254,366,012,337,026,881,347,927,209,606,303,381,869,201,501,597,249,580,509,
404,058,139,626,229,341,278,038,538,484,061,579,749,351,001,190,278,675,701,
114,091,378,982,355,305,913,537,454,679,352,882,888,160,518,328,787,452,645,
997,863,838,126,549,497,995,577,853,898,163,625,542,810,291,145,260,952,699,
852,583,580,264,275,699,372,544,478,113,517,669,011,960,004,868,914,414,248,
397,800,786,974,791,329,480,171,582,322,829,711,988,281,457,016,648,173,764,
102,879,704,930,579,782,656,199,711,564,819,375,434,168,330,433,284,866,258,
068,938,807,283,359,451,336,127,993,202,639,724,135,809,423,881,860,567,192,
174,527,624,275,221,315,936,981,151,781,640,077,355,139,719,564,595,500,529,
394,965,713,982,036,655,074,696,288,103,382,639,883,772,967,185,322,617,481,
236,480,772,283,669,415,218,206,640,474,840,155,079,469,242,304,611,101,979,
351,403,608,796,233,457,726,533,444,817,270,651,309,092,966,336,028,178,222,
730,804,962,151,925,938,243,710,736,098,984,003,870,699,413,823,501,527,853,
391,889,693,893,889,704,490,326,502,224,743,406,046,685,148,548,123,374,780,
121,163,405,085,053,682,323,568,020,250,221,795,287,922,185,507,104,722,496,
262,957,708,292,992,451,243,455,339,085,409,938,212,241,282,906,554,478,484,
540,692,029,931,175,188,870,669,139,159,861,301,246,059,020,846,933,851,473,
205,203,239,679,802,069,238,936,882,557,638,423,527,630,283,820,404,286,526,
903,092,386,739,056,788,232,742,735,270,269,112,911,493,199,966,681,016,763,
240,845,733,158,230,313,843,820,241,698,139,004,612,916,464,381,094,253,744,
393,240,272,047,914,759,603,542,926,503,561,346,715,229,495,209,067,303,735,
611,560,261,813,501,376,771,458,154,020,423,459,221,117,726,817,904,909,782,
588,067,407,103,140,396,130,757,866,995,890,624,167,543,781,685,084,589,961,
781,083,640,403,699,600,640,919,775,655,019,903,957,966,773,411,703,808,462,
854,967,654,649,293,108,215,332,402,042,405,209,460,948,164,456,125,962,563,
117,746,550,527,381,485,077,876,448,087,338,823,707,864,956,339,422,486,981,
454,615,602,442,280,415,438,580,842,146,280,941,336,374,498,571,606,950,954,
156,424,680,932,987,782,794,470,334,256,432,525,022,952,167,472,902,720,884,
264,419,609,593,007,503,450,531,098,466,520,702,770,170,735,640,318,655,501,
292,392,237,163,173,793,090,348,268,753,613,346,950,202,578,418,585,746,401,
088,741,118,380,138,563,344,783,180,178,820,333,663,579,250,426,564,058,671,
717,698,716,173,720,898,955,043,865,218,895,209,240,150,778,516,217,597,431,
814,486,424,285,052,752,336,881,132,538,510,324,514,099,413,307,507,486,048,
668,447,613,539,877,636,868,047,272,790,389,118,868,488,811,662,540,825,094,
333,044,583,980,996,223,869,893,997,148,815,863,546,394,780,060,648,270,018,
809,566,546,571,624,527,129,062,773,436,574,897,606,807,687,023,435,111,798,
327,556,849,615,049,945,688,243,117,945,267,176,625,035,400,702,100,874,912,
149,443,776,519,292,990,552,006,079,403,391,574,456,641,304,793,589,034,232,
760,078,140,968,859,282,050,424,996,982,664,370,348,295,506,479,743,323,372,
358,013,666,897,754,617,373,208,537,333,938,722,973,520,956,476,459,572,725,
394,856,987,323,162,595,481,372,771,948,512,112,169,350,725,374,480,595,759,
755,952,529,057,560,795,780,570,071,087,384,650,777,568,505,469,513,377,336,
196,417,166,044,125,085,252,060,598,086,698,784,247,846,765,203,011,630,729,
977,444,677,476,776,381,125,567,950,396,607,037,503,245,354,023,588,052,058,
298,734,722,538,545,678,058,655,081,217,956,373,345,085,305,123,725,828,112,
200,017,106,460,400,717,656,511,525,809,014,193,310,383,959,625,119,859,973,
859,364,865,757,483,604,484,623,872,400,098,132,904,804,141,782,268,621,051,
428,205,801,875,589,426,304,158,026,680,205,978,075,964,182,926,479,995,221,
506,874,916,491,628,335,558,898,712,979,326,766,090,589,191,264,100,601,495,
346,988,380,309,134,008,882,879,029,176,637,490,164,426,406,840,008,061,858,
288,938,560,851,188,998,093,687,808,417,902,861,713,088,849,758,986,233,991,
188,501,762,615,524,442,838,874,096,931,684,092,014,139,503,991,371,417,715,
922,604,336,845,003,592,660,876,307,037,830,476,766,507,261,415,277,453,845,
423,602,441,942,207,398,760,734,404,612,099,852,271,544,964,505,110,808,941,
096,370,373,424,358,666,793,716,141,969,612,643,890,308,590,626,352,065,232,
322,232,114,118,294,256,859,495,106,584,824,305,535,947,291,436,056,015,319,
797,246,106,017,257,991,406,164,424,244,120,183,901,640,253,514,589,154,470,
610,319,307,319,877,870,663,997,496,770,204,292,304,167,111,765,824,491,777,
405,804,102,420,101,760,473,556,852,232,150,763,170,952,410,622,049,957,349,
543,047,408,701,978,552,128,367,865,512,326,828,799,159,671,171,201,336,910,
168,313,996,293,572,958,034,287,982,604,770,877,385,253,938,509,839,203,647,
477,321,184,196,774,074,108,864,726,222,760,728,882,570,404,202,006,043,139,
524,792,646,560,537,026,811,582,886,865,304,523,051,687,129,972,968,408,119,
104,188,845,100,015,549,785,587,522,742,630,896,951,278,912,827,613,597,352,
920,923,961,667,238,455,720,785,783,977,000,286,245,983,299,406,605,006,077,
905,012,776,189,314,039,152,268,225,471,164,068,679,198,331,085,104,400,260,
142,394,392,249,768,393,834,085,695,529,823,397,837,888,498,163,584,724,155,
529,734,540,231,185,670,453,962,601,214,897,914,506,200,003,193,938,584,383,
875,637,962,432,997,372,949,941,361,888,651,024,416,991,218,341,060,134,468,
693,913,183,748,088,879,374,951,986,506,929,291,818,702,322,419,025,969,439,
977,075,011,135,919,108,931,168,604,253,523,888,244,411,330,113,880,840,485,
288,245,168,630,038,666,128,304,829,983,650,623,416,415,347,458,427,697,542,
003,780,676,795,863,853,013,662,948,988,118,554,721,617,016,972,489,346,372,
985,205,955,930,377,391,911,111,404,840,230,313,645,634,775,293,758,423,561,
040,501,179,958,258,769,318,453,816,742,634,438,935,808,074,199,012,155,707,
258,956,311,885,874,944,028,892,702,175,933,524,071,862,280,674,046,772,428,
712,124,250,698,329,593,195,193,166,812,322,802,333,177,737,411,332,772,363,
158,457,482,788,196,077,314,727,452,346,919,266,624,139,726,309,588,989,230,
855,004,179,591,424,977,621,968,282,447,264,890,852,624,102,048,244,239,581,
484,063,782,941,268,599,370,192,306,847,648,748,935,673,462,570,062,242,867,
714,826,365,355,740,005,764,185,490,968,698,555,362,597,850,615,079,768,305,
344,330,476,629,305,727,543,895,595,326,704,598,057,698,678,849,319,751,794,
539,822,656,339,251,436,231,885,698,866,073,729,141,325,999,534,002,863,954,
666,912,156,560,724,493,686,926,345,904,827,258,439,048,098,015,021,249,638,
534,432,369,254,212,190,814,107,717,970,614,170,810,343,316,471,696,325,870,
098,345,184,288,681,544,270,953,717,034,290,538,482,022,098,982,987,277,989,
469,773,443,785,569,355,955,065,329,206,962,418,794,495,362,293,592,070,206,
855,793,734,423,961,526,209,155,835,768,787,240,833,553,415,877,106,805,569,
455,643,017,459,466,009,251,695,752,388,822,627,840,636,001,461,588,430,914,
293,215,432,487,979,545,769,899,128,535,897,876,653,458,249,683,063,561,100,
652,060,074,273,062,535,877,961,571,011,120,461,936,069,695,249,230,239,275,
344,283,661,574,638,050,502,837,942,181,471,792,525,168,519,287,751,537,459,
791,758,141,957,538,622,964,189,940,353,960,923,661,721,055,288,604,090,903,
952,895,829,705,965,444,592,123,506,145,342,024,228,692,926,094,771,688,801,
996,721,830,659,360,017,346,365,000,666,105,776,271,275,067,971,197,028,539,
492,497,354,399,112,507,364,868,610,706,164,006,202,979,068,688,996,591,867,
393,889,048,733,343,712,214,464,793,308,519,519,691,822,072,304,397,593,964,
348,416,578,672,386,762,020,960,817,451,738,418,254,752,472,817,273,546,203,
236,941,415,698,765,472,242,870,205,746,780,816,508,820,025,745,800,016,982,
349,464,648,474,550,579,101,260,152,674,209,346,210,482,906,249,372,696,068,
546,093,387,407,881,125,340,678,935,048,635,902,574,814,400,004,733,429,593,
257,358,629,624,930,924,421,012,533,733,397,988,140,930,981,662,955,872,248,
383,959,373,186,583,677,732,310,483,168,484,486,572,305,965,111,224,344,781,
339,560,954,245,639,305,315,709,730,139,289,044,280,266,235,009,528,989,077,
675,240,970,250,436,865,832,623,801,339,439,744,343,589,828,807,545,914,744,
370,726,931,657,625,019,798,589,563,915,714,937,216,427,736,159,523,384,505,
472,700,502,673,106,564,961,028,572,899,651,167,038,671,031,515,364,571,622,
936,490,884,635,382,638,709,000,676,575,788,704,095,153,318,119,804,596,075,
985,393,181,899,585,562,592,551,745,045,545,628,441,168,209,958,987,330,379,
674,793,947,703,467,649,136,320,465,338,616,551,842,665,743,507,447,381,887,
918,242,270,124,491,994,203,950,964,335,421,680,012,926,838,322,308,055,020,
894,712,714,224,509,371,336,465,400,635,499,988,952,493,892,641,914,450,580,
799,283,653,742,993,587,413,580,414,700,336,919,324,478,672,388,617,741,592,
556,605,772,618,676,721,469,779,053,639,473,186,501,254,027,127,806,167,127,
117,266,600,117,367,031,629,740,546,662,561,238,471,481,739,063,851,225,398,
594,637,933,125,187,179,368,622,883,382,075,681,508,142,165,022,652,601,936,
154,654,155,064,854,004,985,530,358,752,055,444,752,085,430,585,098,009,534,
113,244,447,710,958,856,716,512,184,362,003,585,774,510,071,558,040,385,088,
479,507,235,387,320,989,349,205,696,116,855,762,161,300,222,927,073,330,846,
471,771,340,689,629,046,422,917,610,818,686,636,181,163,902,412,044,075,823,
209,254,996,633,493,621,741,801,732,398,972,385,246,282,793,029,158,258,156,
864,313,696,626,282,818,738,465,168,620,840,555,546,429,115,015,200,477,217,
334,284,980,644,569,623,225,194,485,362,127,406,591,361,767,825,495,100,525,
099,696,354,356,583,631,691,520,048,187,169,040,659,476,282,249,890,604,296,
317,408,894,279,596,042,354,583,724,738,206,214,973,091,452,140,313,103,513,
599,939,384,200,205,588,412,608,777,948,239,297,427,915,077,353,134,533,946,
770,672,593,023,963,124,027,796,410,441,336,942,769,594,306,800,763,647,260,
976,193,890,643,490,312,142,472,298,045,379,288,513,408,338,174,741,628,383,
218,786,535,138,578,738,351,726,502,218,407,038,860,749,507,063,918,027,425,
191,021,177,821,736,993,730,852,651,666,350,523,016,644,208,158,766,706,686,
098,192,791,905,912,848,132,609,422,685,085,339,773,607,934,285,161,547,938,
380,361,374,076,801,159,984,030,614,294,541,973,561,320,763,812,937,625,819,
381,174,220,993,937,559,135,292,043,784,752,166,863,447,767,816,969,111,572,
293,450,990,465,147,654,667,050,941,351,868,502,529,242,694,278,880,725,804,
004,809,384,936,449,631,356,411,489,178,602,634,788,557,655,084,019,746,072,
491,353,545,826,162,391,956,765,977,822,407,819,792,460,501,153,440,143,811,
474,645,874,726,681,216,221,828,193,666,885,278,099,844,890,463,411,811,760,
549,689,220,251,501,893,599,511,078,752,880,398,633,920,220,098,534,364,830,
934,449,130,052,843,218,018,810,459,480,885,997,966,475,242,486,758,214,196,
780,368,854,437,149,424,463,121,898,233,233,122,323,913,595,608,100,915,759,
521,508,300,674,569,541,028,560,660,927,856,818,532,465,579,361,728,076,212,
933,721,796,656,958,911,382,865,769,723,563,754,474,139,542,535,160,700,481,
860,874,121,009,717,654,900,581,627,528,437,500,353,114,596,093,448,448,401,
685,450,967,797,953,689,692,072,791,696,831,213,933,145,571,857,773,944,752,
989,952,303,161,846,918,914,691,297,105,372,470,552,515,131,951,403,578,660,
997,932,462,070,299,693,290,107,255,445,733,225,063,378,576,649,906,945,467,
433,937,830,737,058,488,454,909,637,151,638,622,642,944,227,064,016,784,375,
907,350,739,061,352,100,987,895,202,476,593,803,378,914,269,660,391,954,320,
744,820,234,317,241,445,890,044,469,644,424,741,876,902,317,731,661,452,844,
174,336,337,546,840,687,998,085,891,155,113,663,047,696,204,121,552,662,943,
521,922,449,033,793,105,845,717,379,293,686,540,640,769,461,873,376,332,624,
537,027,794,659,391,397,037,469,954,810,418,780,410,145,116,980,066,621,649,
937,970,184,177,297,663,627,360,714,444,927,331,347,476,162,637,926,240,560,
376,906,941,505,139,573,412,010,843,716,724,580,545,284,874,476,391,382,973,
945,069,553,901,621,043,950,201,103,621,734,194,100,807,254,949,976,679,234,
329,171,275,249,712,828,810,814,233,263,425,720,848,118,337,554,979,117,433,
457,395,388,127,738,811,694,898,545,470,880,805,039,800,194,857,321,531,335,
852,927,283,568,764,179,444,954,879,633,749,569,007,895,296,026,580,477,386,
791,447,701,878,535,722,202,702,958,407,060,306,618,269,649,518,553,036,544,
350,654,397,586,115,480,502,402,934,363,888,442,754,872,799,878,800,028,111,
765,314,274,144,791,076,910,238,322,811,087,994,350,304,982,957,069,158,554,
766,998,552,816,849,380,258,417,545,812,748,300,231,159,976,327,135,973,266,
683,023,818,300,530,898,126,557,626,396,520,867,410,603,161,399,801,558,158,
051,999,360,169,071,013,732,788,425,416,651,341,716,900,866,330,101,249,561,
663,421,839,746,077,021,296,191,480,599,329,224,039,801,913,691,347,235,616,
134,874,592,747,775,488,099,218,852,524,088,422,698,785,293,980,143,230,247,
100,080,321,366,250,498,772,250,133,467,252,531,209,488,346,223,902,703,315,
610,109,238,182,711,474,443,489,255,271,469,073,837,214,968,226,901,450,415,
315,453,698,177,546,836,674,422,417,492,518,802,996,424,257,476,388,709,163,
576,557,969,929,127,924,793,076,776,192,092,304,229,510,459,415,560,022,534,
729,718,572,402,920,686,638,025,463,947,734,594,160,451,538,110,367,128,390,
567,554,123,739,410,101,473,566,198,396,674,826,626,749,471,994,061,890,245,
831,445,816,190,777,112,072,366,673,739,474,557,559,115,332,430,673,000,878,
811,512,317,264,488,211,006,215,094,543,348,779,231,214,402,551,258,124,369,
352,258,124,186,684,292,775,239,579,428,966,447,383,372,744,273,271,847,417,
316,484,092,821,041,284,127,969,466,979,093,892,235,871,381,438,304,509,654,
559,078,895,428,510,398,393,153,771,734,230,971,504,951,420,989,122,821,443,
935,025,352,335,073,028,993,893,406,602,221,891,062,832,302,325,815,462,963,
589,875,475,714,339,868,662,963,578,352,910,028,205,442,392,071,805,743,430,
145,458,003,754,183,712,899,111,450,840,219,682,465,488,450,855,182,310,023,
156,525,023,358,028,704,368,531,202,909,589,442,930,139,998,816,107,237,523,
109,802,751,948,788,312,907,343,296,914,708,683,276,012,338,027,845,376,614,
718,447,707,680,336,733,504,148,360,934,455,256,567,070,043,294,364,684,938,
228,107,471,696,662,497,776,690,267,335,280,432,658,715,751,274,251,242,055,
707,354,343,890,732,464,453,219,263,955,188,450,393,308,357,183,505,718,328,
897,889,954,299,881,838,453,224,308,561,496,123,859,966,947,781,133,532,382,
741,119,019,420,853,600,484,656,677,492,691,678,996,423,634,743,172,077,030,
101,398,132,274,202,281,049,745,970,523,579,584,834,061,363,822,308,869,404,
333,770,201,466,169,140,263,509,109,219,558,201,947,235,652,784,963,966,770,
787,339,395,764,092,310,869,036,208,485,359,008,580,606,961,576,254,728,878,
577,408,925,765,949,894,594,953,457,475,755,161,007,973,350,701,330,087,659,
058,365,806,119,357,773,079,704,249,346,992,834,544,045,740,222,155,880,838,
911,364,690,513,014,373,572,547,900,110,394,284,306,906,463,871,471,801,124,
457,837,427,981,464,821,692,828,793,103,129,287,561,910,067,179,280,128,332,
485,369,844,935,907,866,281,866,733,494,096,762,417,362,556,973,177,242,081,
623,485,290,200,963,882,428,214,743,003,450,966,533,276,810,173,447,646,947,
360,295,651,681,838,464,014,954,442,984,210,825,978,988,800,400,440,296,439,
053,393,082,487,514,291,062,704,075,223,569,396,483,257,424,192,116,323,573,
522,433,839,291,716,521,728,199,723,268,157,276,709,813,027,953,134,869,492,
844,234,533,119,325,346,610,909,947,402,017,598,716,878,629,418,490,583,174,
839,180,620,281,118,088,295,681,668,031,414,187,901,059,049,759,798,729,985,
469,975,131,227,078,737,860,408,308,178,391,353,287,010,383,903,860,390,468,
416,838,540,524,846,559,440,741,636,378,777,244,224,519,426,439,301,557,280,
684,258,295,675,693,369,851,354,419,101,227,398,139,675,930,467,859,185,987,
908,200,317,803,617,988,918,507,618,650,554,872,469,621,083,300,596,402,847,
374,863,532,928,846,579,934,519,843,864,104,360,489,955,267,522,784,482,351,
236,084,687,788,983,900,408,221,206,630,476,078,659,404,890,063,300,525,256,
401,932,216,368,396,856,700,930,990,025,109,222,315,111,325,592,092,462,211,
586,841,262,762,943,814,495,478,726,331,267,665,368,593,660,538,598,218,134,
666,550,031,691,190,001,854,865,633,701,911,172,544,641,722,566,970,620,384,
358,131,555,562,506,536,596,801,374,158,698,978,217,741,304,587,895,782,765,
709,795,246,963,593,789,736,939,864,388,844,045,973,997,972,768,373,420,674,
877,539,279,350,419,735,014,662,102,841,884,176,327,585,780,993,269,293,799,
008,711,299,399,839,947,884,316,691,648,294,824,789,397,067,308,855,948,398,
505,295,978,204,926,558,950,480,645,649,173,887,679,721,794,486,315,825,450,
496,575,982,187,519,823,638,984,495,644,267,931,294,099,758,306,304,209,340,
503,155,130,447,016,041,316,483,378,966,080,848,916,219,228,500,448,795,998,
515,433,201,949,462,412,231,359,126,923,800,634,374,308,402,631,581,890,813,
843,875,605,861,863,576,494,968,376,769,366,597,131,176,570,110,935,775,467,
997,323,645,042,754,909,889,661,475,001,782,121,319,635,355,024,200,716,780,
424,134,875,730,487,828,119,975,832,041,684,115,793,889,212,138,484,909,192,
516,120,468,780,628,502,424,611,493,230,333,153,642,319,354,448,677,663,681,
805,928,555,560,526,267,338,068,638,091,651,909,990,423,509,968,529,402,345,
056,728,648,238,965,675,082,017,831,520,292,604,746,980,509,176,768,331,538,
656,360,671,758,057,114,960,659,397,077,547,488,493,001,472,774,204,426,585,
345,993,971,784,308,639,779,170,052,926,495,198,521,148,164,695,901,112,671,
803,975,654,517,904,693,504,592,486,982,442,603,067,456,170,273,534,236,866,
315,066,112,939,667,815,939,831,887,986,042,489,948,521,205,063,124,882,430,
354,146,272,213,193,063,064,137,064,897,796,988,432,565,967,791,680,510,003,
911,133,187,820,868,862,959,684,434,131,455,721,267,187,695,874,586,757,813,
767,139,260,959,079,848,505,240,145,034,529,211,573,889,477,445,769,443,348,
031,146,753,548,561,396,313,155,276,198,548,793,604,903,246,849,489,620,820,
523,073,080,015,985,869,043,236,099,648,016,236,658,271,889,847,913,655,019,
243,065,974,825,332,920,031,339,124,353,399,950,523,184,394,246,056,712,708,
734,060,402,646,290,860,560,872,944,558,888,376,223,242,286,823,646,774,096,
645,700,131,601,405,892,908,822,308,363,250,093,179,874,863,920,490,433,361,
212,583,997,740,958,468,717,952,614,536,460,773,858,742,220,337,841,781,638,
024,502,048,485,323,398,879,243,160,052,545,255,092,528,900,690,189,253,495,
561,105,756,984,397,308,275,632,153,210,453,920,145,495,087,051,166,924,838,
236,194,649,164,414,237,042,890,436,128,187,534,601,130,860,562,782,009,170,
939,205,959,943,287,710,239,519,452,946,960,562,881,606,382,881,321,160,543,
535,351,074,017,350,884,445,627,982,370,452,556,290,744,544,467,428,497,023,
450,429,324,408,839,170,515,859,688,869,646,354,770,465,731,126,342,792,303,
625,019,342,560,814,357,849,918,744,146,825,973,997,167,698,897,237,604,540,
274,388,091,004,068,865,458,278,680,813,363,674,393,710,376,423,658,935,352,
389,215,526,402,403,325,273,438,706,457,457,770,835,047,612,225,490,465,216,
640,587,477,537,732,535,669,934,215,820,448,403,953,769,610,878,056,371,535,
692,075,389,212,164,638,418,669,306,268,388,378,555,980,074,904,447,185,223,
421,183,344,547,081,019,848,423,735,230,441,942,676,721,050,181,344,019,899,
261,472,804,030,903,808,679,019,585,172,110,781,733,431,445,062,486,577,991,
648,516,267,662,281,912,623,995,493,933,078,396,242,569,220,529,844,275,311,
138,343,294,338,839,011,308,401,518,726,743,947,396,750,402,633,735,764,170,
172,188,905,543,054,443,779,162,084,377,126,916,747,487,903,071,481,163,533,
997,370,265,915,214,800,742,826,718,462,340,092,211,543,629,627,581,772,061,
027,326,440,055,444,768,980,169,271,821,044,684,795,701,256,155,682,505,409,
633,730,934,048,141,983,799,798,178,318,288,845,415,514,771,689,721,105,412,
897,903,431,627,807,668,713,224,556,231,620,580,491,752,219,502,455,108,151,
949,670,463,210,741,898,999,989,290,117,167,780,790,058,268,827,747,622,831,
781,396,595,824,501,289,349,934,228,761,133,602,545,998,544,801,301,041,197,
584,551,321,135,028,171,606,816,645,397,232,973,989,765,811,263,733,559,914,
227,026,193,497,361,185,263,164,802,548,633,345,525,399,055,257,539,658,474,
951,169,313,128,203,958,777,469,936,527,628,639,064,989,258,850,409,873,319,
123,556,431,693,860,565,400,434,184,283,478,014,994,003,651,606,117,267,193,
451,111,404,403,404,686,348,911,247,157,602,147,418,757,932,465,197,115,391,
664,552,002,416,894,149,007,544,070,707,922,536,328,513,756,619,314,078,515,
229,729,696,199,839,109,656,059,847,285,657,116,579,834,486,897,400,974,843,
378,146,118,947,851,251,380,807,231,227,966,225,777,952,045,302,226,151,057,
873,572,692,654,822,217,722,514,460,590,509,119,914,016,872,038,462,848,442,
849,496,128,647,844,542,215,889,228,687,015,530,065,106,176,154,633,078,021,
929,187,993,318,297,763,400,282,433,067,825,661,465,853,808,062,074,350,508,
676,752,531,391,823,584,631,438,918,020,404,927,784,126,089,119,321,881,339,
187,114,757,765,389,650,394,371,439,936,832,661,668,444,337,140,235,496,070,
963,889,796,072,834,901,009,099,056,954,071,615,187,968,794,050,257,955,459,
564,700,959,563,520,472,143,860,214,207,656,460,124,430,527,760,842,968,485,
707,557,496,249,790,472,796,940,204,615,622,756,678,773,918,777,301,008,619,
568,534,739,059,266,590,597,661,859,367,743,386,381,035,363,787,745,268,514,
547,878,575,519,298,237,516,504,970,040,811,357,645,505,979,239,637,363,048,
703,236,411,766,602,738,064,869,754,021,931,278,929,135,159,399,498,405,079,
531,033,678,877,116,589,422,594,823,770,073,770,224,350,311,171,317,285,931,
723,504,336,361,746,970,311,730,386,780,652,959,396,877,740,580,588,439,890,
342,100,886,986,374,188,856,042,529,396,752,946,078,945,626,802,344,309,853,
959,210,820,256,107,302,085,499,449,198,127,683,748,360,646,458,568,339,040,
102,394,576,695,458,475,753,438,433,322,020,920,398,071,047,477,177,406,876,
298,627,964,334,085,363,559,561,123,387,065,185,323,068,590,321,141,478,126,
445,025,490,257,229,348,349,291,558,090,128,888,448,594,835,499,184,763,696,
216,837,311,775,548,423,273,279,787,248,506,828,115,818,354,743,883,700,467,
937,107,918,037,800,427,638,411,135,514,260,453,288,331,380,532,247,734,988,
357,413,603,163,463,890,550,831,072,514,021,923,633,860,610,283,538,725,109,
254,590,667,623,282,185,234,003,971,006,832,722,485,166,297,032,011,843,087,
571,336,708,833,379,755,498,097,694,740,682,066,591,986,328,767,718,297,456,
570,717,164,485,685,495,046,410,454,209,366,944,191,342,789,348,265,621,278,
994,297,667,256,967,409,313,060,171,741,574,099,479,701,755,087,792,012,833,
266,948,016,799,034,655,085,372,894,403,094,928,577,569,771,222,788,736,206,
629,275,555,949,830,788,961,377,499,553,984,652,575,103,677,009,416,367,658,
274,658,347,564,981,489,853,652,168,684,942,905,956,135,565,778,034,881,939,
311,215,652,926,714,150,259,551,190,531,651,552,404,478,320,829,921,871,507,
695,000,680,598,216,674,565,151,013,258,997,785,270,463,103,148,737,613,912,
511,117,358,800,761,216,836,573,688,576,464,231,774,465,766,044,845,707,608,
454,311,700,323,713,065,301,713,171,689,490,274,787,851,898,693,151,238,111,
294,555,549,598,040,961,635,907,640,258,024,703,258,202,380,417,691,982,013,
234,483,716,180,195,324,594,495,380,190,442,273,172,542,244,244,061,246,437,
699,582,261,960,769,130,113,470,627,538,603,348,203,686,928,871,070,444,978,
111,862,357,731,390,800,223,771,822,182,000,578,402,456,883,797,400,321,528,
731,487,119,423,230,495,961,214,548,307,069,527,716,012,088,627,397,978,606,
114,995,872,126,497,129,150,890,152,348,027,768,324,227,891,825,075,677,034,
913,594,930,776,209,071,279,295,266,688,556,234,913,902,473,526,788,309,823,
133,399,799,383,536,017,795,496,720,407,627,885,444,714,775,451,995,626,940,
285,400,546,951,431,319,811,123,280,062,274,480,262,756,648,952,571,905,694,
234,898,137,514,953,821,026,674,948,332,855,565,460,568,567,604,776,442,662,
620,847,717,483,185,164,536,539,449,251,376,187,642,755,089,930,087,032,330,
215,593,681,192,893,984,558,449,438,873,494,778,335,131,201,329,619,970,881,
241,984,236,264,434,760,107,373,143,827,154,270,285,208,250,242,409,741,030,
928,805,058,034,490,372,661,129,628,016,772,018,856,200,597,441,444,072,421,
601,767,972,221,995,096,528,480,196,061,469,681,015,840,681,185,570,753,333,
717,035,287,474,166,418,351,588,052,672,318,932,622,456,252,313,084,415,740,
001,133,205,064,782,512,128,176,002,845,983,973,849,745,051,819,687,560,289,
451,187,545,824,836,693,376,201,682,065,517,167,110,489,230,492,606,434,990,
211,182,274,282,210,720,552,123,724,056,463,574,433,936,711,375,606,527,522,
479,535,276,966,325,155,385,792,599,118,873,899,967,345,113,992,097,276,732,
100,820,758,878,224,481,451,636,617,097,804,882,725,784,777,687,647,026,604,
568,441,821,996,096,310,923,466,473,600,107,952,922,311,175,792,507,511,825,
612,233,554,207,347,206,454,215,436,544,632,145,987,908,071,809,632,201,675,
707,576,760,177,646,096,378,389,228,270,036,481,863,260,439,372,603,399,319,
674,879,806,689,244,355,923,218,798,825,732,466,625,910,323,768,611,712,833,
748,829,311,442,200,825,629,126,363,207,710,554,895,806,972,586,827,022,628,
497,010,018,569,939,449,956,740,465,993,999,886,696,218,714,905,535,311,810,
326,393,426,758,951,401,175,404,070,661,903,938,900,086,932,040,402,564,101,
887,471,853,265,572,709,384,153,593,707,312,347,957,204,957,236,861,218,617,
269,278,030,088,089,903,658,999,301,985,485,203,377,143,197,453,712,391,172,
655,666,305,671,423,588,861,905,777,688,425,968,492,203,608,868,860,835,208,
523,731,770,780,376,680,541,881,937,217,913,701,462,080,867,413,980,593,486,
682,553,951,735,311,352,983,835,007,241,420,867,775,163,893,208,209,320,247,
758,076,743,082,293,831,342,969,435,186,631,286,558,992,851,704,992,338,893,
054,854,198,487,542,173,935,303,665,592,248,420,147,216,214,473,132,768,840,
275,738,545,813,282,856,821,897,603,278,016,829,505,695,244,878,166,509,009,
133,956,408,763,518,158,812,330,057,085,284,539,770,516,171,948,204,381,336,
494,462,808,303,362,684,197,637,543,714,551,025,577,876,268,059,530,356,534,
558,498,419,240,186,725,115,844,287,876,042,155,251,835,396,680,008,391,758,
614,807,536,968,521,910,637,726,152,225,180,995,220,166,852,305,229,655,668,
490,524,474,997,197,646,500,697,213,760,878,410,970,559,263,522,363,421,195,
578,153,569,120,540,057,285,475,422,716,735,876,503,928,479,833,003,551,634,
524,665,310,290,933,807,732,798,831,493,940,484,995,691,492,666,269,258,225,
717,707,870,510,643,622,645,254,443,748,202,186,704,582,726,732,613,957,302,
433,038,148,624,378,362,067,931,319,939,798,075,456,588,014,919,871,379,143,
794,931,085,722,105,378,020,370,012,525,518,736,704,476,262,624,658,215,340,
394,305,256,678,490,406,795,808,612,595,927,420,460,102,613,457,451,113,626,
702,492,071,933,434,481,348,685,037,383,606,230,222,173,478,167,633,725,367,
916,379,087,711,765,576,656,170,511,386,314,930,688,351,333,878,791,399,022,
874,168,457,767,580,439,503,266,498,905,233,209,982,745,942,979,188,459,500,
368,940,390,809,366,666,791,709,823,696,357,088,363,171,098,979,630,235,739,
900,539,252,144,285,204,636,994,050,402,950,698,766,854,026,075,321,738,013,
802,731,122,292,735,385,708,453,370,524,888,432,950,381,369,230,396,419,573,
009,834,172,880,680,104,094,978,210,631,419,531,628,834,665,688,443,515,785,
258,417,771,989,881,731,775,973,859,533,491,073,179,175,055,494,835,432,249,
238,302,708,530,043,569,217,528,638,743,774,843,750,530,948,310,443,145,017,
893,240,210,133,978,188,649,462,474,837,489,865,083,913,459,240,662,848,280,
984,315,085,473,776,737,260,868,570,220,605,292,900,258,345,766,599,130,659,
866,931,741,653,765,338,760,782,062,217,326,946,974,508,228,393,976,721,285,
468,673,811,793,118,358,180,161,284,273,759,283,850,318,538,617,122,154,362,
044,437,320,801,082,987,812,170,383,605,017,302,254,898,792,888,513,427,223,
946,836,920,464,035,888,679,520,033,983,035,027,251,813,253,908,997,481,111,
049,320,508,889,965,916,676,749,663,825,344,656,032,058,465,590,583,132,535,
425,459,398,163,391,021,681,288,464,029,474,202,663,329,444,535,781,495,258,
664,827,015,664,393,210,163,138,428,048,508,322,323,518,163,106,687,208,308,
250,123,705,109,707,579,850,251,138,732,107,999,239,655,493,906,812,070,116,
951,844,090,160,741,409,072,233,626,432,743,547,929,595,766,812,092,736,783,
302,994,741,874,764,058,089,267,539,873,742,534,911,431,045,304,615,117,537,
700,498,294,637,872,839,972,338,062,121,650,513,344,153,738,187,132,848,611,
010,389,608,939,177,571,349,843,277,959,997,650,268,955,471,744,668,936,849,
897,511,921,352,533,175,290,633,210,099,392,198,736,683,773,235,500,771,467,
715,975,720,201,463,310,631,004,854,032,045,053,253,094,960,712,718,391,789,
153,202,570,073,930,689,621,337,895,992,181,322,304,653,598,995,415,481,202,
248,769,625,884,951,106,260,365,125,565,751,093,110,318,393,606,010,034,761,
789,627,416,376,766,882,347,307,898,353,781,479,466,510,036,684,989,701,673,
964,091,777,783,275,452,984,650,260,979,792,065,947,164,889,752,472,240,512,
168,725,953,912,451,719,799,750,657,786,660,396,618,490,825,837,960,646,827,
022,390,202,995,533,894,709,688,808,861,343,929,488,866,360,487,892,677,577,
034,075,048,280,274,352,648,581,213,362,811,036,507,347,075,766,712,386,562,
026,758,874,498,122,930,590,498,718,828,448,378,915,010,631,857,256,255,557,
639,718,786,117,733,261,052,163,578,007,230,349,678,474,352,950,869,698,147,
766,403,632,738,778,763,873,013,236,877,961,191,967,578,763,395,501,704,459,
007,859,722,034,785,709,980,551,812,144,877,705,468,165,896,162,062,969,077,
354,740,269,494,305,162,682,763,176,076,222,273,286,294,501,221,750,653,722,
489,919,320,434,455,006,761,678,433,051,509,470,319,559,207,732,017,581,694,
732,672,000,829,618,508,374,593,348,287,776,183,967,511,931,493,874,862,809,
751,274,574,452,040,058,747,080,071,184,543,503,489,475,518,472,635,057,307,
259,335,521,052,828,722,921,473,076,467,644,398,133,804,453,458,229,750,915,
858,309,173,347,803,443,124,738,169,190,992,359,619,978,777,408,064,267,977,
997,383,145,689,897,599,807,847,327,845,673,174,041,942,786,181,500,009,740,
445,105,579,048,107,120,291,057,532,533,614,321,446,837,037,685,996,288,326,
738,844,348,765,825,656,790,082,787,567,760,345,678,813,732,982,572,708,668,
208,824,238,823,696,301,375,572,987,918,274,921,153,990,049,470,161,270,884,
656,932,427,769,813,776,813,941,836,724,182,968,475,438,593,468,361,190,001,
589,244,692,289,966,197,814,993,316,516,939,689,792,690,333,177,543,057,353,
180,602,618,614,280,042,216,077,390,235,426,549,438,621,496,052,901,280,125,
755,182,425,972,337,072,017,651,588,914,566,371,963,866,108,633,773,443,112,
389,669,828,858,035,060,157,728,767,161,100,200,526,028,655,705,513,014,485,
389,994,330,112,390,431,660,111,756,936,186,635,173,477,116,049,222,406,667,
763,181,922,480,168,819,710,287,118,510,798,005,800,640,975,716,676,376,782,
931,445,189,895,969,636,645,314,057,085,070,687,999,239,527,060,308,453,480,
102,959,241,896,492,230,904,188,321,664,630,593,217,540,054,647,270,275,202,
629,949,433,237,405,922,340,201,268,725,060,021,029,303,615,652,582,757,459,
023,861,256,236,602,906,588,117,784,804,404,386,594,782,091,868,084,615,825,
630,466,925,822,492,022,503,416,431,490,242,683,233,700,357,723,260,799,276,
327,831,047,548,598,671,491,794,369,756,956,426,580,883,901,428,061,424,000,
109,640,225,562,669,798,655,847,565,527,163,272,558,537,093,013,914,814,759,
410,689,991,783,355,846,305,767,378,142,064,190,473,035,903,350,600,196,530,
877,153,902,701,672,105,765,957,176,758,675,901,718,792,169,153,586,329,290,
011,113,777,086,035,004,735,942,284,078,557,710,106,130,255,509,058,999,854,
102,908,341,319,028,903,794,886,455,932,546,561,220,885,280,969,869,643,534,
679,322,250,832,271,017,885,815,850,667,570,187,302,698,047,800,931,131,346,
006,996,896,108,187,641,399,454,134,803,486,477,040,086,560,354,416,236,269,
623,490,308,197,432,048,428,919,093,674,889,208,475,393,516,208,865,315,463,
363,728,746,962,733,429,329,061,492,099,142,678,395,748,061,229,539,386,531,
579,202,354,085,937,288,835,927,461,351,935,883,135,533,220,087,482,414,078,
357,390,145,903,271,743,585,096,937,118,801,371,359,575,443,943,245,672,431,
613,647,518,580,150,750,380,989,319,876,080,996,884,883,607,532,448,295,731,
145,495,317,922,761,756,268,244,712,145,492,571,280,088,916,047,326,934,903,
344,419,198,643,109,359,481,456,454,135,113,174,829,169,534,906,402,993,722,
552,158,781,006,700,399,530,542,382,087,142,014,292,770,913,122,470,268,662,
697,831,633,001,401,469,385,026,596,841,415,010,705,004,385,051,260,021,175,
242,417,903,237,549,785,721,518,527,472,868,699,587,119,388,557,587,915,881,
097,749,018,921,764,261,891,268,414,784,548,538,690,008,749,365,214,466,335,
473,029,754,350,464,984,620,372,709,909,120,100,591,501,694,575,135,814,592,
697,767,454,845,385,313,027,953,150,320,521,924,286,102,473,541,309,361,197,
446,435,619,570,901,560,871,680,933,249,637,148,815,928,837,055,969,418,684,
354,124,282,427,233,738,344,793,770,467,896,288,627,479,911,124,333,641,146,
790,504,624,678,400,686,815,187,267,529,062,623,763,643,223,422,451,239,140,
121,999,457,250,257,053,105,092,923,849,238,312,264,011,912,417,528,447,117,
777,118,244,284,007,013,683,974,279,325,661,087,913,872,936,304,149,442,461,
583,250,202,348,150,575,686,719,958,131,146,900,230,339,062,148,835,727,039,
010,359,124,253,346,110,595,127,793,121,962,871,630,316,935,746,376,494,322,
369,234,533,512,026,053,612,506,900,188,917,273,706,357,357,272,419,151,386,
555,748,783,747,288,665,919,795,198,005,874,124,882,749,702,854,757,497,705,
747,642,116,692,275,478,551,029,350,122,420,421,566,799,398,194,439,556,590,
124,411,118,118,778,578,318,571,498,826,274,270,299,921,367,398,506,544,684,
080,229,168,013,828,108,185,978,377,504,219,612,700,869,891,085,776,118,137,
384,686,473,263,955,488,041,600,070,987,393,586,426,601,154,218,411,840,560,
569,273,201,307,938,776,591,906,484,115,557,762,822,961,675,647,134,753,443,
256,345,226,137,091,116,720,845,313,133,986,740,041,095,863,968,075,554,315,
928,058,888,227,891,494,289,151,345,030,020,963,301,028,387,626,189,167,280,
985,428,898,130,040,505,298,202,836,713,392,052,612,900,843,483,421,295,510,
346,671,138,798,579,108,515,053,861,934,436,269,422,705,089,055,808,524,719,
078,217,594,760,092,373,583,199,239,053,683,359,532,043,918,568,144,531,799,
243,495,782,735,729,291,165,259,320,965,182,787,667,221,367,006,861,439,137,
265,012,288,588,279,583,223,196,152,070,096,606,369,095,111,484,268,369,380,
240,489,906,719,257,804,513,732,970,778,722,979,675,500,260,022,973,443,140,
551,799,313,387,515,818,449,668,078,641,012,056,887,404,967,714,214,307,426,
152,178,227,578,921,881,568,803,019,416,231,712,991,942,775,805,390,661,790,
801,583,700,912,315,050,541,638,587,549,622,731,834,458,421,822,637,883,129,
703,199,235,789,489,682,935,719,940,399,966,026,250,893,245,641,721,347,132,
541,550,393,351,025,536,353,579,487,156,248,440,287,946,898,725,672,856,536,
133,206,528,736,354,001,884,002,822,926,656,869,478,663,067,744,931,212,839,
403,777,695,229,744,030,913,403,947,156,854,852,560,791,177,253,396,298,899,
073,048,110,035,716,981,474,412,716,636,981,396,815,649,673,874,681,587,323,
566,142,996,073,287,330,072,284,813,956,011,691,965,272,983,324,340,967,087,
361,085,843,811,424,336,595,085,195,256,296,236,362,801,635,899,700,194,047,
131,429,183,607,211,329,818,625,645,444,832,446,306,171,637,405,786,167,884,
885,774,040,802,865,367,447,342,796,041,980,395,541,553,428,041,740,065,319,
293,674,615,252,701,529,969,189,320,669,139,797,923,350,773,515,122,975,342,
814,680,639,969,030,189,459,538,023,187,959,130,712,729,460,004,460,120,224,
542,749,596,797,710,003,007,938,884,148,713,209,162,542,926,869,444,774,681,
312,635,288,350,304,426,926,866,087,586,540,533,160,866,349,657,029,820,849,
719,480,547,761,244,232,855,698,421,052,832,367,792,653,322,763,045,776,404,
495,465,335,014,526,838,660,391,759,717,195,791,017,246,941,766,100,269,848,
993,978,524,082,526,215,724,522,548,144,320,775,454,817,808,778,150,758,717,
803,436,179,517,494,241,716,676,973,401,810,887,349,785,330,688,294,292,972,
036,362,715,657,225,474,146,704,451,806,987,439,671,969,845,976,120,331,231,
039,360,706,071,892,332,415,158,596,906,776,986,321,372,603,438,287,943,267,
698,503,319,604,689,170,027,649,761,651,856,521,478,905,516,001,352,316,891,
006,835,006,761,519,489,069,300,343,219,420,944,744,236,484,641,920,211,034,
341,128,180,221,629,544,876,799,521,249,077,020,759,324,444,286,155,508,857,
891,480,042,238,603,460,107,569,934,871,365,568,959,204,942,828,425,547,511,
942,432,222,898,992,891,658,241,431,968,062,021,685,891,321,077,777,998,418,
100,912,584,618,277,558,564,438,133,419,307,147,987,023,832,593,381,984,771,
269,552,881,043,686,839,994,845,732,486,237,746,796,613,764,791,965,826,626,
058,587,606,809,564,265,508,339,643,612,127,454,173,582,833,958,045,782,152,
941,058,116,734,374,126,176,953,271,811,777,415,894,584,435,982,144,917,611,
693,224,189,949,169,354,386,735,670,826,673,377,775,394,895,921,925,005,509,
336,843,158,606,175,639,570,036,262,909,995,916,888,259,294,675,697,463,988,
970,584,195,388,682,006,691,777,447,020,209,177,467,316,860,900,479,856,132,
984,447,268,297,355,603,504,876,339,893,595,172,446,839,856,648,840,576,436,
531,271,115,029,790,130,014,029,387,593,774,175,400,215,995,380,342,196,099,
554,673,767,941,187,048,888,505,507,416,088,119,106,490,464,701,007,375,967,
314,072,248,563,634,137,716,517,621,777,269,229,842,381,856,383,384,438,510,
441,473,400,692,698,858,144,076,815,165,930,381,285,945,243,591,295,511,215,
996,776,978,595,028,639,565,033,340,247,343,200,626,956,129,885,833,910,703,
570,159,874,369,808,966,190,353,564,967,334,278,764,880,232,304,948,144,584,
310,792,563,232,860,189,781,896,613,925,443,479,397,656,987,461,962,371,511,
532,965,393,296,096,109,694,966,952,836,122,970,360,212,778,559,784,277,062,
293,028,342,150,710,991,116,329,294,390,864,936,283,831,375,953,033,142,842,
431,446,355,180,963,602,307,336,571,650,347,538,629,382,672,884,206,062,985,
633,648,787,918,268,315,336,878,126,214,661,758,924,681,860,204,592,640,699,
634,322,634,707,991,007,540,042,699,891,572,964,176,891,482,236,333,434,061,
258,613,296,164,690,271,313,922,221,250,735,606,815,949,335,082,983,373,661,
653,251,614,734,010,930,000,286,154,210,850,719,458,785,297,101,725,486,364,
474,464,433,016,534,514,038,623,737,775,344,793,768,581,282,251,923,225,888,
562,012,212,058,584,093,191,960,891,215,935,548,959,730,389,906,802,693,963,
707,878,181,157,413,589,160,201,199,954,908,575,767,985,194,249,675,731,368,
096,007,699,789,788,476,076,014,001,434,174,876,410,052,969,507,134,282,321,
718,154,655,877,802,157,579,831,126,721,590,709,889,766,458,112,715,680,691,
964,402,435,987,395,861,996,069,677,592,185,342,806,336,099,873,955,106,564,
703,417,168,883,101,612,731,270,621,277,116,961,525,432,626,138,800,247,779,
767,096,746,917,817,037,315,057,229,836,467,677,047,586,090,811,275,423,508,
482,703,009,563,021,297,013,178,655,068,157,891,972,877,947,612,976,466,133,
935,454,517,983,361,263,254,170,494,895,011,549,650,750,881,065,890,141,186,
046,212,296,039,859,254,042,979,519,919,558,828,249,994,659,705,134,837,922,
095,959,842,955,438,286,065,200,628,323,815,472,271,595,412,609,730,552,235,
304,535,247,289,992,504,247,428,403,729,628,385,558,106,100,829,602,051,209,
555,710,005,573,390,693,221,725,842,125,755,471,745,503,323,873,066,429,214,
283,595,815,566,390,334,891,689,023,370,870,172,430,519,635,778,889,021,434,
986,871,856,218,055,937,405,613,887,116,470,386,783,106,655,048,850,117,838,
257,344,022,756,928,831,467,564,091,028,281,832,700,647,464,915,313,477,656,
684,617,764,705,030,620,650,686,832,270,567,821,729,798,222,089,538,780,246,
531,843,844,101,900,600,066,132,309,935,475,930,628,177,278,756,271,616,060,
402,626,167,386,443,872,578,848,210,806,507,844,776,123,487,503,650,059,933,
273,093,899,459,405,793,285,887,901,145,790,438,166,176,272,220,895,006,034,
848,975,935,185,104,628,382,973,714,814,197,703,835,104,632,805,814,738,288,
845,788,083,767,783,605,303,060,653,957,980,388,857,433,294,310,336,030,859,
620,155,611,477,461,026,908,609,603,665,329,623,590,667,334,388,056,220,132,
962,729,567,043,727,217,524,653,786,207,736,536,950,193,413,737,753,244,013,
795,726,835,023,556,081,410,855,084,087,897,199,737,728,134,902,875,676,413,
940,854,110,410,610,469,697,874,020,955,691,986,626,704,972,299,897,451,420,
649,868,314,160,281,122,274,416,368,686,258,133,660,610,722,277,501,411,170,
930,610,567,504,199,497,405,767,371,083,067,517,390,127,111,835,951,992,475,
822,435,924,572,120,730,700,904,855,031,311,106,007,955,452,355,914,510,755,
410,583,013,258,096,970,958,908,340,752,771,107,271,834,267,331,246,079,578,
080,629,116,484,619,842,020,534,789,235,304,956,362,707,997,532,806,604,528,
906,475,629,822,601,851,344,956,578,620,793,588,350,187,355,570,949,986,355,
029,820,586,450,426,162,836,012,411,469,804,251,198,652,239,377,089,872,158,
313,719,617,997,897,446,058,955,391,393,810,342,611,304,973,207,800,741,744,
778,517,152,568,245,758,028,200,355,003,240,943,621,883,744,737,979,464,301,
898,390,510,059,680,923,250,454,640,083,254,488,597,234,768,076,344,766,222,
767,907,472,102,455,483,048,441,807,389,038,719,029,537,139,647,486,036,502,
585,749,555,048,877,562,434,934,429,617,298,832,423,926,794,118,395,048,341,
412,164,572,706,146,645,930,542,449,702,577,699,088,957,368,506,652,124,138,
416,711,853,061,669,362,073,059,809,093,402,285,760,927,565,955,373,460,315,
898,518,865,482,976,321,333,118,143,516,699,646,579,030,382,485,777,560,623,
056,058,196,363,069,079,308,147,813,319,599,326,967,565,545,041,576,526,185,
556,320,760,694,073,018,959,054,391,088,362,320,472,783,271,072,810,520,731,
294,027,972,925,646,715,232,654,751,421,991,263,923,148,346,830,693,521,447,
746,349,630,129,853,075,047,227,100,539,921,044,344,284,180,158,537,274,904,
599,423,843,070,082,194,924,341,733,816,385,748,839,321,626,907,815,017,081,
231,403,284,422,400,672,237,653,182,842,002,582,741,965,910,616,693,265,684,
007,250,595,643,177,015,308,373,915,143,824,856,301,911,852,658,315,386,726,
731,112,249,679,664,377,799,474,102,906,333,534,860,944,145,118,552,398,161,
867,229,329,215,913,618,393,660,207,178,226,016,199,640,509,463,555,567,872,
831,485,628,873,504,831,321,214,892,974,904,110,019,363,584,202,941,421,283,
886,908,112,171,681,786,820,176,534,535,811,876,362,399,549,635,967,096,545,
216,146,738,006,966,541,601,240,601,323,565,705,095,230,948,703,491,067,501,
347,244,499,346,647,536,918,555,130,727,329,663,136,031,035,572,249,731,822,
017,883,967,081,133,427,481,097,272,433,463,468,956,155,465,865,800,863,902,
199,949,908,701,963,718,837,375,228,146,893,469,807,076,734,350,938,588,690,
353,822,687,860,670,696,463,092,298,516,724,333,346,509,144,040,550,812,884,
800,659,276,211,374,077,093,589,828,375,901,969,877,456,264,950,770,371,456,
998,085,582,302,713,513,086,806,833,677,952,854,934,751,912,722,072,468,971,
494,927,014,809,517,268,533,746,347,642,569,673,101,717,015,423,998,721,867,
046,344,343,044,808,910,829,276,383,480,850,759,315,689,808,822,749,275,616,
466,648,260,821,514,230,745,851,901,511,515,098,664,513,658,117,908,249,933,
732,969,619,379,928,210,476,180,540,215,533,164,107,349,605,224,191,571,037,
019,798,205,798,226,754,637,910,832,264,968,295,060,086,689,840,130,370,267,
882,456,446,092,059,034,195,958,200,211,155,819,859,522,741,318,378,314,993,
853,360,403,304,082,200,469,296,308,311,186,290,312,909,733,103,469,376,012,
968,285,375,060,437,053,436,692,221,308,394,591,365,207,441,856,962,237,184,
026,939,807,853,681,235,939,003,968,539,708,023,726,203,120,144,029,359,991,
746,611,289,304,892,965,454,175,797,279,234,631,458,789,821,266,328,054,786,
714,834,020,308,021,134,914,612,248,660,331,623,374,194,523,303,154,236,886,
059,992,792,641,634,344,022,126,281,496,310,219,719,437,351,400,675,029,230,
193,476,364,082,328,207,746,440,161,278,952,498,218,396,152,764,645,650,515,
414,208,633,314,006,125,536,751,434,464,784,511,332,969,171,240,205,503,293,
844,018,266,182,788,719,926,064,102,952,408,486,180,744,408,417,186,324,872,
419,729,664,198,182,647,119,352,184,668,611,512,289,562,618,500,737,941,952,
040,046,371,002,679,947,083,324,958,126,941,732,440,425,902,325,210,944,009,
425,879,402,346,215,611,857,439,008,560,529,048,947,557,511,270,041,063,496,
905,112,595,685,713,973,371,429,614,737,373,093,976,563,123,623,403,356,450,
513,863,886,154,850,121,499,597,937,614,690,382,074,627,222,770,194,848,792,
040,084,898,059,081,373,177,534,081,910,922,752,712,584,399,642,326,254,354,
219,850,089,988,951,335,076,893,666,809,801,180,660,479,840,109,811,592,730,
369,967,412,049,651,630,390,479,304,741,976,979,924,079,579,470,217,941,262,
876,616,369,270,869,885,885,377,423,882,519,878,242,488,572,603,276,088,468,
717,588,964,410,405,063,572,069,080,833,362,283,292,651,628,775,013,432,709,
457,349,983,820,478,343,614,963,857,998,593,351,445,184,196,222,025,600,107,
090,856,107,891,305,202,886,994,856,132,198,362,102,317,528,125,946,089,605,
532,456,800,763,467,384,301,679,390,879,473,518,258,537,531,699,955,196,513,
393,790,744,677,980,133,128,168,814,305,716,355,023,464,499,387,262,133,617,
683,240,377,880,256,672,850,046,100,103,024,666,113,980,953,406,632,396,475,
623,317,328,382,910,730,142,783,990,644,543,388,851,410,659,841,643,801,472,
696,911,356,436,709,099,347,745,153,292,962,696,233,843,196,138,153,720,928,
420,953,801,271,239,359,352,256,950,583,770,998,466,772,170,815,025,508,979,
327,876,393,022,443,905,476,077,802,505,686,649,539,593,482,931,666,080,480,
641,450,289,843,239,050,663,816,130,881,647,596,428,370,959,564,057,505,775,
342,595,155,632,572,493,589,605,219,418,440,242,493,245,176,094,988,468,470,
790,359,777,443,417,477,812,473,722,315,167,290,606,142,681,089,344,523,537,
149,655,525,878,720,339,781,362,051,087,284,416,846,547,555,626,103,236,391,
045,302,704,261,947,016,585,722,826,753,275,505,410,943,386,236,222,037,415,
999,178,888,185,459,857,789,671,831,901,093,708,526,423,468,183,900,145,282,
786,634,423,406,926,826,366,270,716,957,015,200,578,685,452,962,867,678,466,
555,071,192,858,588,895,799,480,297,787,682,034,001,664,049,146,392,077,276,
646,519,833,602,309,143,953,783,926,964,943,605,832,128,741,825,047,436,385,
661,281,716,444,040,019,408,759,505,113,124,390,528,315,753,564,703,659,114,
641,815,893,024,255,304,906,414,571,415,577,656,998,838,422,222,875,069,628,
647,098,551,527,922,307,328,183,693,120,448,551,011,829,495,036,909,818,537,
041,456,173,473,861,578,281,733,985,635,318,384,183,059,157,545,978,828,489,
968,926,953,674,565,588,203,504,255,340,861,842,464,921,268,349,216,513,589,
212,955,988,582,483,660,526,907,660,798,852,800,810,300,087,824,895,267,132,
292,824,357,120,347,625,583,406,308,271,149,730,616,482,443,589,319,150,653,
312,803,349,954,018,314,220,735,238,220,258,931,605,982,656,795,480,693,270,
822,830,580,972,773,900,852,849,788,735,854,841,094,112,105,847,866,669,019,
176,810,514,546,822,770,424,039,026,729,008,188,248,405,259,196,251,935,924,
770,044,469,488,766,815,527,415,638,174,922,763,921,018,665,854,741,217,183,
583,997,440,341,843,905,074,277,220,770,163,534,475,034,395,448,736,919,217,
894,819,872,926,405,168,255,653,341,157,060,375,766,090,188,319,147,765,574,
601,121,355,074,593,553,494,102,129,574,724,543,717,698,220,433,701,320,827,
051,637,380,989,620,378,588,557,215,544,131,755,141,202,055,658,221,533,182,
340,361,492,723,548,846,669,414,659,922,534,652,129,314,792,756,741,009,204,
980,389,376,876,998,696,790,124,911,077,278,089,589,798,450,240,853,828,524,
739,358,668,766,070,406,421,738,727,372,292,138,226,253,300,123,590,170,741,
414,096,424,970,454,725,596,861,361,257,453,211,032,092,310,253,856,373,807,
921,285,374,409,079,879,672,414,566,899,942,882,111,068,138,048,931,568,446,
636,077,216,790,040,984,021,613,893,732,028,926,374,759,202,283,263,296,541,
318,293,678,811,940,606,515,805,723,153,445,801,726,796,055,647,495,926,900,
238,627,427,105,696,383,291,189,877,113,448,083,177,338,802,995,572,786,843,
565,678,581,711,900,641,173,375,039,264,385,346,421,975,586,069,489,149,298,
674,676,113,348,706,634,157,621,552,974,094,602,819,456,304,577,997,831,130,
300,187,929,942,022,675,843,747,599,463,388,569,661,282,616,218,128,879,620,
439,581,963,597,700,322,134,188,281,333,645,640,916,420,914,978,680,488,236,
597,910,588,302,910,019,856,765,937,412,153,244,466,043,317,019,964,620,571,
545,641,057,865,349,177,368,518,294,613,108,581,429,695,808,862,303,336,481,
559,141,372,532,955,705,535,149,604,564,071,804,111,911,271,973,130,957,215,
732,534,944,386,816,228,897,591,945,581,580,431,642,892,631,831,348,033,116,
937,178,011,282,844,254,072,918,668,405,706,615,137,361,980,779,992,701,686,
305,628,624,368,726,521,426,736,191,385,608,804,476,015,590,005,651,341,067,
590,757,288,822,374,358,785,015,021,327,000,751,820,743,289,330,151,416,312,
557,540,567,746,309,912,538,498,562,463,787,500,678,278,961,378,166,247,773,
461,079,545,580,029,407,683,699,381,868,249,738,208,026,408,983,771,455,327,
009,636,354,155,333,789,440,720,785,221,659,793,751,174,498,249,270,041,027,
762,439,965,807,411,274,314,437,622,482,335,180,828,727,155,084,770,176,215,
968,366,666,166,523,413,343,752,534,286,880,876,269,727,129,424,906,796,397,
548,773,933,376,052,919,543,785,526,075,959,075,592,554,196,460,062,019,123,
437,251,907,223,997,708,717,424,653,064,097,865,914,020,995,633,225,773,465,
336,259,405,227,210,244,599,587,691,694,259,671,897,124,230,795,262,756,709,
382,497,146,477,734,634,820,569,975,631,367,435,476,674,973,730,390,680,111,
815,086,861,878,587,413,087,934,854,089,984,186,587,267,139,227,481,977,263,
025,760,516,695,749,156,622,418,840,008,199,485,592,214,960,861,354,113,747,
785,513,947,897,470,682,175,428,918,933,858,488,051,305,689,713,608,640,013,
120,001,612,526,963,914,049,863,074,330,674,921,604,696,394,771,034,101,574,
779,856,231,076,114,704,570,216,823,254,929,796,044,915,075,309,796,467,624,
217,866,981,886,222,421,668,771,143,394,389,325,190,013,561,309,828,414,301,
964,940,732,824,519,919,007,863,074,358,545,719,028,484,238,538,491,479,505,
795,943,138,376,625,951,492,309,560,598,850,991,861,619,586,471,591,515,833,
407,707,649,421,049,493,477,204,040,123,300,765,880,640,552,000,334,030,490,
327,316,315,900,848,801,079,052,046,718,837,650,226,401,464,707,806,992,420,
717,069,853,491,276,183,694,489,871,328,142,197,417,835,026,057,958,339,093,
368,805,273,134,940,955,206,184,005,022,465,572,204,273,538,549,923,976,556,
054,742,934,786,418,937,707,094,743,910,363,246,413,223,845,897,746,553,097,
415,222,007,144,933,096,960,146,085,053,473,377,638,538,722,281,396,648,655,
844,446,215,679,539,464,346,738,670,298,319,607,465,938,655,989,950,509,043,
193,498,049,233,928,070,581,994,562,013,738,698,429,757,147,568,085,706,633,
968,449,057,883,124,242,301,079,376,215,449,144,928,489,835,841,222,350,716,
461,724,649,268,043,618,232,824,337,764,941,353,472,276,875,413,519,533,008,
616,271,365,546,724,436,376,482,082,576,125,430,186,825,124,839,491,298,968,
512,100,071,403,367,312,007,924,359,953,582,948,148,733,741,871,224,938,076,
058,281,615,688,275,925,809,413,158,254,744,002,751,901,912,448,441,029,672,
521,205,026,533,332,095,204,105,853,423,597,023,745,396,203,622,162,675,752,
412,259,224,168,093,585,637,966,547,750,600,217,034,169,723,514,954,857,310,
405,222,484,797,516,922,651,719,824,840,590,748,611,216,368,260,982,206,070,
236,713,594,834,087,669,939,692,095,652,309,258,302,296,082,538,288,507,370,
910,955,409,729,207,119,322,350,237,674,458,649,646,965,850,199,785,814,968,
263,868,880,116,789,381,121,613,474,911,232,641,183,496,525,277,343,098,369,
934,484,537,429,120,126,521,304,744,028,173,372,429,837,748,309,715,193,830,
475,778,835,549,896,824,949,422,755,231,370,847,292,986,923,298,461,405,640,
065,712,005,773,595,689,410,529,464,045,825,322,571,807,287,154,309,324,314,
648,650,238,192,212,578,551,158,042,877,323,042,652,951,955,851,909,371,218,
511,595,986,278,103,512,878,194,924,870,745,755,539,428,340,179,601,134,368,
380,101,288,871,012,327,191,693,298,166,322,379,344,363,282,521,375,925,068,
494,683,263,071,069,713,036,632,159,956,248,077,191,579,941,467,381,132,565,
139,663,586,829,017,641,150,348,348,702,738,776,975,506,089,958,946,483,470,
794,421,460,284,475,103,929,707,315,481,668,213,578,515,888,645,525,363,894,
691,502,241,866,009,514,356,308,103,434,546,522,011,112,868,277,605,974,367,
309,806,209,542,350,991,472,817,958,588,916,638,019,854,166,872,443,854,483,
645,578,117,527,900,665,328,002,760,039,579,114,382,910,175,482,357,996,958,
602,713,574,435,692,867,752,857,904,367,891,729,323,015,894,504,060,163,359,
563,086,036,370,146,807,482,382,538,305,993,358,101,642,938,486,553,258,580,
855,350,162,804,083,822,984,654,789,023,124,176,305,377,190,569,989,888,886,
191,797,750,500,623,780,845,328,640,605,504,756,630,007,512,395,145,508,951,
583,539,438,497,027,500,905,473,856,955,711,638,240,563,459,003,160,100,156,
871,748,102,930,015,344,245,857,077,749,372,372,402,640,130,090,770,843,608,
653,060,057,818,112,883,937,743,977,392,775,620,455,479,339,673,376,771,094,
248,355,889,764,884,568,369,031,140,153,639,110,506,775,042,461,831,843,259,
670,343,453,015,234,551,218,786,001,107,541,045,446,172,790,073,839,904,812,
562,563,009,824,283,752,224,524,256,909,779,355,720,581,423,295,518,165,894,
159,709,714,415,113,678,251,662,354,361,228,711,004,066,345,912,984,112,151,
473,133,243,381,411,148,944,189,430,801,147,478,796,320,844,786,398,117,701,
450,780,401,433,363,738,484,619,482,965,737,186,404,003,678,789,789,502,559,
698,345,450,386,641,958,579,620,014,909,648,873,025,657,734,466,895,778,074,
535,952,643,945,099,757,789,695,305,535,586,264,269,867,298,655,853,995,675,
248,448,298,216,380,656,882,484,742,723,198,704,334,281,724,833,130,277,371,
995,779,665,373,800,510,515,784,753,299,200,612,117,066,438,915,170,791,482,
983,818,842,168,865,449,193,427,694,775,793,902,259,704,256,786,128,200,377,
404,379,078,783,015,688,665,127,657,387,712,542,634,995,836,843,525,806,354,
892,325,407,313,300,114,367,898,959,306,691,849,430,415,625,173,048,803,040,
789,997,944,012,007,668,475,681,566,353,425,563,956,427,397,685,755,686,675,
760,635,499,283,535,872,689,716,901,305,209,291,131,494,254,120,748,489,099,
772,096,497,985,626,372,463,210,689,037,384,604,871,409,423,673,724,726,785,
526,608,418,861,464,724,293,042,501,174,521,660,887,753,399,251,991,856,961,
929,237,374,249,705,840,532,940,823,646,076,655,452,543,648,286,685,361,593,
110,553,973,969,447,796,558,905,580,292,564,745,702,449,830,857,603,869,062,
716,318,264,180,013,879,068,067,918,411,130,588,109,505,409,636,324,263,218,
826,908,410,478,334,612,525,025,482,858,959,693,163,559,922,679,237,045,983,
069,114,249,777,643,477,118,155,639,010,425,864,231,124,871,760,914,687,800,
948,147,692,061,634,837,780,864,686,766,515,768,212,818,762,175,675,189,819,
510,295,074,741,257,164,355,990,895,945,237,903,675,493,248,973,935,175,836,
443,660,339,793,178,629,649,157,997,051,057,767,638,780,781,680,846,808,973,
697,997,642,218,779,783,448,694,543,595,295,851,347,448,671,134,581,260,631,
976,414,524,361,971,569,208,903,275,961,909,528,305,333,777,554,347,737,885,
005,488,847,683,630,326,828,508,718,714,328,607,703,729,202,094,148,889,716,
883,291,562,762,955,719,456,474,612,585,152,068,100,352,288,164,138,587,683,
261,764,690,750,252,320,067,414,156,265,005,595,771,437,678,828,812,693,953,
738,255,181,407,767,264,709,665,321,853,429,712,447,393,295,799,002,813,505,
345,082,004,217,479,900,612,001,793,620,117,874,602,895,044,516,959,672,069,
540,058,821,868,459,346,161,386,009,472,139,056,997,264,962,827,523,217,711,
463,449,271,332,906,520,363,042,723,883,099,221,326,299,017,215,648,543,667,
435,610,417,365,249,636,118,570,173,848,005,637,328,959,921,124,417,266,591,
022,534,111,163,276,251,608,940,892,545,042,023,582,658,076,448,820,634,246,
820,208,571,864,436,390,602,174,187,780,709,106,113,737,327,407,117,967,772,
182,141,199,158,944,694,239,351,707,866,938,609,857,744,682,951,993,497,709,
617,113,582,107,114,887,987,045,025,210,528,276,977,755,244,321,245,565,204,
664,526,070,427,068,069,765,656,938,857,641,187,833,856,860,572,818,919,943,
544,666,966,063,161,529,568,906,692,836,883,441,326,665,517,224,732,518,553,
723,114,279,064,273,998,530,254,454,260,032,278,293,925,885,245,330,163,363,
795,595,211,734,947,549,120,677,372,825,445,658,201,895,976,313,448,709,543,
744,056,582,838,169,984,276,015,392,267,175,964,551,648,873,092,295,971,238,
583,533,947,949,491,173,826,686,916,380,350,135,807,659,334,352,436,748,290,
396,506,840,279,779,550,318,405,663,737,960,720,368,068,455,641,295,136,746,
677,874,333,956,824,536,440,444,522,729,568,666,243,817,450,626,105,697,712,
451,116,232,390,768,386,412,817,344,690,791,355,339,844,931,421,598,666,790,
062,348,569,476,839,253,593,794,909,123,061,859,242,414,183,658,366,885,152,
238,655,947,100,714,071,738,288,876,450,576,617,543,304,869,416,415,905,761,
337,277,809,480,237,374,272,248,248,781,455,824,363,026,405,073,422,833,681,
349,105,404,320,073,162,891,058,461,695,922,053,575,958,049,514,325,056,701,
936,178,693,166,343,433,340,093,726,552,858,495,583,362,162,884,626,195,813,
304,171,315,509,824,292,496,786,418,537,032,391,676,635,018,057,603,885,980,
191,297,750,776,890,435,157,610,466,255,176,658,439,167,078,854,054,171,009,
762,967,476,274,662,180,381,914,972,699,510,845,274,002,654,292,582,775,068,
123,922,754,411,681,900,465,274,688,147,025,851,507,862,576,968,687,918,982,
445,440,780,805,732,280,992,134,129,820,164,859,768,278,893,220,649,861,287,
026,320,385,137,148,210,314,078,083,876,117,324,760,034,393,604,187,110,100,
007,050,990,540,423,908,013,364,414,259,080,887,885,631,099,408,355,417,748,
938,047,489,785,532,787,979,051,847,204,501,505,213,685,724,432,264,580,937,
616,512,130,885,551,155,894,723,919,730,771,706,753,051,754,874,800,922,824,
031,642,292,785,451,477,002,214,636,996,622,739,023,330,273,106,017,773,527,
787,158,286,131,906,106,517,761,752,159,181,369,618,742,597,255,583,807,927,
517,059,450,650,265,129,171,623,779,622,606,569,128,942,971,242,330,334,074,
488,975,092,198,505,466,823,736,551,531,696,899,816,108,870,395,092,784,430,
881,321,694,083,840,562,220,988,255,050,504,245,433,453,956,660,368,704,997,
177,399,178,192,345,875,030,404,910,693,790,232,854,742,612,872,764,884,124,
168,146,776,392,312,711,241,157,229,654,357,332,711,745,628,971,690,700,139,
207,663,117,115,908,076,948,526,003,666,300,583,037,545,777,570,134,703,102,
389,306,576,957,328,380,474,610,126,103,165,079,702,512,761,913,281,118,100,
090,550,520,556,967,265,061,669,882,010,097,698,208,485,863,358,141,819,180,
767,156,504,084,021,756,437,143,458,398,162,036,069,457,479,719,488,258,082,
955,967,377,250,473,978,914,156,587,448,190,001,116,135,414,490,472,668,247,
222,663,237,309,748,315,928,967,094,010,851,461,178,331,770,539,035,567,334,
851,230,357,918,830,415,132,558,610,986,325,807,215,113,794,881,167,941,692,
012,213,140,007,635,793,974,301,066,381,148,557,073,749,426,431,579,165,356,
246,162,572,130,967,904,349,663,501,824,768,553,294,338,219,411,700,060,905,
841,663,085,328,722,924,897,444,483,368,166,056,126,345,530,856,937,544,251,
387,712,330,322,303,930,539,653,499,757,119,460,852,986,227,522,015,508,496,
081,037,649,895,490,310,747,579,809,705,424,546,841,749,444,602,418,084,554,
219,256,273,505,559,136,825,751,113,446,829,081,192,102,063,169,185,191,430,
069,834,074,519,379,679,920,948,364,821,893,488,393,495,268,696,845,489,392,
724,794,062,855,678,113,029,179,641,864,089,927,920,537,415,191,797,954,434,
980,241,221,960,302,886,498,466,638,666,299,441,911,862,631,406,017,688,186,
764,702,386,757,064,291,447,954,689,240,123,856,418,475,363,156,664,413,721,
617,687,578,453,354,818,179,091,282,871,056,146,819,740,307,110,727,942,508,
022,003,344,958,420,618,541,391,878,238,962,843,373,498,822,619,624,951,192,
777,811,759,670,630,387,384,040,623,778,592,738,489,031,167,318,771,068,114,
743,024,219,578,867,289,261,601,027,928,077,234,776,408,173,637,502,394,978,
164,808,835,430,861,630,331,818,081,428,205,485,549,682,900,000,691,308,757,
694,683,912,106,518,955,980,588,234,707,191,213,591,370,336,225,098,076,429,
473,183,688,225,692,466,375,770,242,895,512,575,079,036,342,918,382,773,077,
881,774,581,208,358,580,008,588,772,716,619,701,120,273,220,260,542,599,111,
295,449,803,523,773,963,275,062,396,201,120,801,302,031,289,416,909,709,153,
887,001,220,160,656,500,826,977,987,508,984,064,510,115,020,715,991,847,780,
515,112,330,664,754,690,988,777,910,011,057,225,868,940,023,447,304,335,037,
534,534,028,550,319,030,535,452,087,913,086,484,302,794,320,346,351,662,359,
865,218,690,818,599,316,521,056,527,530,556,124,927,483,671,607,678,120,293,
963,364,709,883,458,600,135,517,332,379,648,737,185,788,619,555,214,940,308,
730,088,187,008,453,633,829,151,259,658,381,801,668,967,460,968,968,727,631,
964,929,768,807,703,662,290,489,524,302,743,662,912,487,678,037,360,290,906,
675,242,864,544,297,551,757,194,790,260,151,857,423,649,574,356,616,464,297,
576,404,668,099,193,347,367,445,567,774,881,347,857,505,679,676,402,925,876,
353,784,301,587,516,165,758,005,525,384,655,806,934,191,335,320,856,651,789,
774,892,440,553,430,304,865,858,421,137,427,339,484,973,477,721,857,689,927,
103,160,390,362,357,025,923,982,571,532,270,390,996,260,847,812,848,404,263,
307,615,656,914,460,986,348,673,931,051,393,855,691,302,936,675,731,937,106,
164,447,874,645,764,475,736,882,397,234,831,930,415,866,682,506,570,980,539,
122,072,833,548,502,705,189,721,503,748,051,228,971,817,555,882,077,818,652,
863,316,695,176,876,171,767,836,076,918,959,063,758,630,271,538,147,415,873,
311,117,385,843,946,933,776,527,815,797,878,507,664,559,726,728,089,365,545,
510,856,600,571,676,012,131,532,146,827,505,383,720,072,054,822,319,252,213,
197,067,375,838,336,857,677,823,649,512,615,698,951,470,494,436,284,212,430,
871,426,803,710,682,355,168,028,651,333,631,389,108,218,975,468,086,878,279,
626,494,630,542,166,661,129,563,800,752,098,669,877,360,413,900,291,558,628,
317,277,569,148,975,160,731,696,693,009,793,628,534,163,599,653,897,699,358,
128,344,065,143,436,437,458,688,907,425,690,836,404,612,751,501,339,343,854,
044,030,693,553,564,047,150,476,875,281,138,072,768,813,919,772,620,107,076,
908,807,751,206,665,585,785,706,366,813,700,669,337,326,839,933,356,951,275,
495,778,246,670,175,195,560,478,094,554,010,450,933,472,244,630,066,204,402,
665,035,071,711,920,388,329,575,170,050,158,540,608,556,148,924,008,973,083,
161,049,021,849,700,500,107,212,699,505,156,942,508,188,865,712,490,101,572,
364,380,882,802,866,752,318,476,389,068,138,980,017,611,535,442,908,028,539,
060,223,317,288,128,076,437,659,312,882,423,183,812,428,649,906,366,557,836,
801,944,398,411,977,001,208,972,570,811,246,016,984,080,162,516,083,755,610,
733,508,431,528,250,997,169,893,380,474,793,036,944,138,256,042,920,299,413,
377,272,654,924,357,477,217,272,818,296,380,251,049,442,764,130,459,783,395,
034,817,036,566,752,096,392,022,400,652,883,182,145,877,309,870,612,117,920,
254,671,802,938,761,642,037,337,397,814,284,983,042,560,537,283,478,933,644,
627,542,432,480,344,365,475,991,030,482,096,315,546,320,081,951,901,680,016,
505,589,541,313,140,694,048,623,644,775,647,100,376,618,470,612,937,808,669,
386,020,514,569,277,271,410,904,280,541,777,817,447,285,409,446,281,690,955,
737,625,263,980,210,182,112,342,082,067,458,308,206,700,158,206,466,840,294,
922,320,415,508,930,853,691,724,244,464,888,665,922,630,937,242,413,143,985,
749,230,006,886,231,368,835,999,725,861,701,725,974,546,618,365,988,999,681,
467,244,780,061,882,885,686,920,858,274,190,346,000,240,361,431,625,729,513,
399,905,287,419,810,239,657,603,397,946,068,831,522,374,812,881,204,776,489,
582,882,344,490,143,316,039,032,986,689,369,162,008,145,605,132,291,089,720,
710,237,893,610,338,349,497,032,381,592,601,101,366,508,142,473,024,018,228,
646,036,391,751,569,412,527,625,524,844,542,413,581,639,587,707,251,356,296,
377,676,410,412,437,164,738,138,294,784,380,271,685,936,005,132,095,109,370,
664,851,861,722,783,098,018,915,563,649,937,549,199,942,786,329,601,156,406,
813,321,955,322,452,941,117,498,415,603,698,863,916,692,396,756,384,275,461,
239,821,893,455,332,574,405,424,228,630,525,305,328,099,541,002,804,675,713,
199,544,148,319,077,505,379,832,828,671,448,195,901,504,648,243,250,557,011,
655,300,605,661,741,678,673,030,751,431,197,604,839,738,883,862,049,968,621,
777,760,428,042,990,465,628,645,003,691,122,370,655,500,810,047,036,444,062,
067,214,287,241,852,655,217,240,694,491,319,455,558,262,413,176,504,896,363,
926,287,621,196,379,116,210,310,012,534,403,896,133,787,869,054,107,374,552,
968,324,616,559,958,339,682,419,664,452,123,204,580,083,879,318,039,495,829,
073,372,577,601,121,350,118,804,869,498,462,430,326,507,955,010,034,092,656,
931,411,778,058,276,690,334,279,257,180,758,558,150,871,813,779,633,403,559,
249,974,405,727,662,443,854,787,547,591,877,497,148,782,664,351,681,762,148,
959,318,182,647,462,251,481,665,222,596,616,486,843,200,115,418,948,151,414,
197,867,644,175,657,266,462,984,394,208,817,618,193,348,511,803,873,873,932,
246,366,468,841,649,362,968,800,401,693,589,921,605,185,946,625,274,556,463,
815,645,788,963,804,431,478,095,009,216,191,158,814,772,627,953,807,565,168,
213,523,156,631,343,746,346,921,610,525,219,884,158,156,471,315,596,670,686,
686,105,996,974,652,502,851,583,785,808,727,888,181,019,077,621,403,368,035,
544,760,914,070,239,284,723,611,769,934,319,662,098,419,761,345,090,550,352,
286,071,397,061,126,968,723,628,759,251,244,663,125,867,383,014,343,324,965,
032,083,540,208,907,957,999,043,121,447,335,452,511,310,203,798,154,326,803,
366,898,582,834,892,897,869,642,519,796,046,677,601,951,656,692,011,464,040,
883,570,585,678,752,413,736,139,493,477,294,800,768,339,508,763,657,557,804,
498,328,334,581,834,455,657,484,610,449,327,071,366,236,717,020,361,298,493,
171,908,231,795,516,782,732,764,610,835,782,001,663,507,239,211,705,391,898,
852,487,218,121,433,366,788,387,317,471,338,960,752,291,836,988,216,403,109,
386,937,260,640,664,935,085,382,758,718,109,818,702,432,540,125,924,165,356,
582,490,112,114,964,881,312,346,454,786,324,618,785,787,842,222,961,879,652,
499,321,078,392,296,815,517,179,087,124,798,767,312,704,790,911,109,841,042,
375,392,570,302,408,363,894,912,959,322,877,341,897,414,731,235,012,476,863,
227,245,541,556,593,276,531,521,260,153,514,441,464,924,004,412,718,909,905,
110,956,569,096,758,478,453,295,361,176,564,583,470,112,497,862,120,792,478,
444,845,650,371,232,185,546,864,520,671,116,215,291,160,267,032,078,523,510,
249,658,622,074,418,784,754,099,595,252,837,735,593,169,411,489,925,516,140,
383,104,922,900,205,245,044,552,454,019,196,079,348,573,378,467,837,569,040,
431,514,177,917,829,752,653,113,518,559,204,676,998,553,435,175,790,059,476,
954,512,885,741,444,906,326,957,267,332,148,755,078,731,326,630,282,700,315,
740,001,819,024,613,053,548,354,456,822,812,158,542,266,754,251,532,912,735,
579,129,089,170,251,280,490,036,173,925,346,490,983,085,829,480,640,749,917,
837,774,561,987,705,530,893,759,580,037,278,349,478,337,734,129,055,227,700,
151,224,284,836,988,762,718,061,986,584,927,452,573,167,991,570,124,554,637,
663,505,311,899,580,559,363,356,741,288,018,463,455,215,444,038,337,085,785,
278,965,163,986,816,973,207,280,425,247,934,307,867,665,769,265,857,654,159,
904,465,802,400,801,309,817,516,114,894,606,225,313,023,710,319,487,344,278,
458,685,660,957,558,091,173,873,055,820,076,057,203,472,963,691,988,954,087,
185,092,239,743,603,367,072,262,267,825,737,408,360,477,194,895,679,283,261,
948,407,221,686,505,003,308,579,513,096,049,916,066,008,365,053,607,022,438,
498,336,038,121,325,771,858,885,220,143,380,060,920,637,172,944,018,319,188,
446,272,542,789,074,626,370,880,325,157,185,883,760,515,920,132,889,786,684,
940,828,083,572,610,492,491,926,017,750,024,433,785,459,777,930,845,194,104,
146,628,417,865,978,208,505,927,854,759,163,608,406,713,102,320,906,623,522,
579,075,818,946,418,737,913,514,694,000,441,551,551,690,337,488,903,974,654,
328,745,979,787,415,194,119,431,532,982,909,451,157,737,210,955,548,639,545,
494,110,394,076,460,836,297,589,821,325,921,580,219,311,642,484,632,306,110,
215,871,281,681,387,846,640,938,061,781,483,429,828,439,578,837,855,918,361,
703,477,376,780,603,832,169,020,606,436,550,357,726,781,755,252,375,980,420,
931,684,098,935,077,850,893,323,556,184,096,283,973,599,726,137,271,469,473,
626,714,091,283,758,724,094,731,942,270,942,011,790,951,973,102,314,945,733,
508,222,029,986,545,420,064,328,729,759,777,019,665,176,911,091,552,514,630,
336,717,760,969,284,625,425,481,201,566,368,395,968,815,491,498,125,033,780,
049,909,549,080,446,688,160,921,200,120,623,186,293,553,519,999,075,158,023,
827,533,105,582,754,336,586,392,452,869,339,087,580,449,244,545,675,557,335,
536,256,071,170,905,427,831,182,082,310,158,442,869,160,503,922,632,995,880,
342,295,875,269,398,263,446,618,903,566,406,136,419,931,462,495,885,826,772,
833,392,441,361,674,598,491,841,351,549,700,361,489,871,747,025,202,980,587,
512,226,692,144,972,592,005,752,306,168,187,154,499,562,152,849,047,294,063,
190,061,291,137,384,654,980,030,026,615,050,122,693,717,449,884,704,834,012,
754,067,087,169,247,630,324,181,700,422,527,655,713,292,359,386,284,500,972,
496,851,849,240,476,460,713,560,468,845,211,409,365,335,894,929,110,303,972,
557,494,238,732,174,512,821,813,129,893,550,041,565,814,594,531,053,542,770,
159,128,645,325,441,565,651,899,577,736,914,775,082,666,166,242,628,469,919,
008,206,009,994,331,723,827,455,635,487,444,881,093,353,488,420,405,626,235,
563,004,353,904,724,144,410,631,405,942,954,862,626,812,786,062,965,881,909,
251,735,755,506,129,958,648,539,666,196,369,787,591,992,145,452,893,104,321,
838,306,382,716,608,521,525,531,306,148,556,011,092,940,831,858,906,286,386,
455,826,751,295,059,723,916,048,464,202,099,760,170,166,421,298,126,744,454,
805,489,567,879,702,735,150,918,064,309,607,615,922,134,227,261,829,782,961,
701,287,889,070,208,638,456,350,859,122,308,557,665,155,819,719,644,434,659,
969,915,110,098,851,714,531,873,923,120,245,977,799,332,134,999,604,209,784,
610,965,048,383,092,266,053,886,737,345,212,404,750,634,822,957,162,527,471,
342,765,878,582,534,431,787,719,852,947,718,911,582,960,434,343,209,033,845,
971,233,879,277,407,861,912,750,584,333,435,402,811,046,747,992,643,230,519,
998,869,729,302,535,486,343,784,910,627,616,952,137,207,257,143,717,318,898,
883,485,953,786,776,785,257,009,979,722,735,185,060,633,213,458,582,382,938,
507,224,836,468,299,212,860,735,746,118,862,476,035,366,638,900,362,986,436,
331,740,853,414,348,271,636,319,107,771,966,204,186,907,684,597,376,375,845,
908,824,552,270,562,780,776,641,529,512,103,860,779,852,168,778,364,171,909,
229,750,037,296,939,937,889,583,862,586,496,835,646,815,533,140,748,236,002,
799,752,624,225,822,793,365,112,805,061,174,075,067,033,109,835,272,937,660,
319,819,477,270,408,444,909,073,570,732,574,045,792,379,269,466,801,544,357,
682,056,712,687,023,888,085,122,007,753,653,318,455,496,573,216,545,646,662,
122,648,515,521,857,973,326,715,330,119,763,299,172,541,687,929,154,050,108,
877,176,508,040,543,497,509,076,837,864,231,249,452,305,318,080,864,027,179,
292,187,202,371,482,597,470,653,645,975,550,164,245,697,817,576,170,813,646,
446,475,474,128,864,885,859,942,173,940,371,879,690,656,868,258,600,459,121,
433,389,447,146,097,712,106,928,582,032,841,746,999,828,005,319,665,220,820,
896,113,856,384,277,326,402,425,673,545,787,839,700,223,447,332,618,275,629,
568,233,292,088,543,523,807,181,410,171,982,707,192,809,160,385,849,819,328,
771,330,399,235,546,380,196,523,293,323,017,271,450,423,531,264,438,763,610,
543,249,785,673,195,240,905,681,970,712,944,634,839,099,262,637,513,495,691,
934,695,247,259,501,057,215,325,167,937,283,262,423,380,158,467,637,929,788,
490,921,245,420,808,960,923,183,167,250,136,716,845,509,501,731,879,999,818,
923,907,362,666,161,083,139,995,892,691,507,551,669,404,311,549,057,806,081,
415,681,074,359,090,986,187,697,768,369,761,969,252,983,743,038,515,243,480,
248,575,582,034,582,322,279,457,394,126,227,981,608,601,845,280,826,671,986,
336,978,995,982,205,137,693,816,636,219,600,740,194,434,306,830,250,854,905,
910,204,250,556,293,595,490,111,559,227,355,929,979,265,102,890,938,176,984,
712,089,838,503,269,704,670,082,427,103,293,496,999,444,857,695,164,342,828,
996,227,456,221,552,642,020,149,161,723,657,475,509,635,005,689,635,285,543,
329,064,132,510,791,986,699,472,966,274,791,466,003,697,469,319,833,728,415,
192,322,625,595,322,587,031,115,298,743,389,695,786,515,186,981,495,438,571,
222,373,205,897,696,966,221,973,902,323,252,151,876,748,110,695,679,242,979,
509,434,912,081,101,305,362,256,022,294,553,990,072,338,493,375,570,702,795,
318,701,640,365,223,460,754,089,266,299,518,633,515,097,693,545,878,510,480,
381,752,864,595,094,746,625,089,618,225,810,925,061,999,745,912,744,156,360,
064,077,286,167,573,685,764,880,619,699,795,137,658,590,709,843,190,841,984,
842,211,835,513,846,359,397,750,951,922,669,589,139,769,301,560,288,046,126,
525,590,539,664,147,172,568,280,511,075,922,792,611,620,404,377,555,060,671,
129,463,900,094,673,034,881,473,686,819,961,905,954,692,794,889,410,186,184,
615,920,664,321,556,212,633,261,635,792,701,895,385,771,672,367,977,734,487,
890,516,044,089,298,693,469,495,729,823,460,451,386,706,141,026,695,892,738,
331,224,452,882,944,364,005,200,908,141,325,834,214,879,574,261,825,953,092,
132,952,968,899,704,049,968,214,007,940,103,280,576,568,003,844,820,168,718,
622,319,084,702,877,606,824,466,081,166,350,298,034,301,103,968,506,617,430,
426,983,633,973,455,112,631,187,420,443,928,629,510,631,587,167,166,710,581,
995,180,901,620,097,017,437,459,078,896,521,708,723,324,020,352,432,333,697,
928,176,477,384,786,272,526,575,448,631,826,964,439,140,729,457,507,424,861,
541,657,972,010,506,021,992,496,040,062,322,943,247,119,638,653,347,969,584,
365,647,874,320,945,106,026,701,363,536,200,108,893,794,386,647,786,310,107,
922,022,278,081,099,589,693,983,525,773,245,683,920,425,727,414,755,501,378,
226,460,363,001,953,491,552,150,626,087,219,615,614,583,485,503,381,879,064,
428,111,835,329,689,326,779,067,911,717,216,605,442,957,485,906,280,883,689,
567,689,083,000,593,288,280,839,489,739,411,084,749,649,818,663,944,803,349,
989,544,264,054,118,692,564,936,546,416,701,085,484,144,816,871,209,865,889,
403,561,425,755,897,545,179,469,845,474,442,179,798,651,896,665,810,719,321,
658,289,437,042,816,922,783,819,506,198,693,423,442,450,264,688,267,691,859,
719,080,641,070,761,155,056,399,266,413,507,353,290,168,615,784,756,076,098,
030,981,487,351,130,561,461,836,412,767,230,906,566,941,831,723,954,950,217,
314,954,841,819,890,529,426,964,410,993,137,031,582,068,113,907,352,102,886,
691,001,977,057,786,402,310,375,941,654,765,494,465,004,523,883,917,900,996,
764,342,050,822,322,580,586,595,563,766,264,549,757,241,064,232,895,150,064,
010,266,603,572,376,514,180,469,133,905,944,469,215,126,776,399,275,062,525,
388,899,572,587,501,940,983,305,373,849,580,330,619,189,441,833,660,768,990,
058,516,614,733,808,349,202,740,891,949,329,358,113,104,239,892,592,371,724,
458,952,236,231,430,825,852,400,990,618,430,313,771,737,960,381,031,173,532,
269,651,659,093,152,145,198,143,343,270,607,051,839,786,313,939,068,357,875,
889,154,805,673,155,068,495,945,603,274,583,329,586,298,072,215,429,745,760,
287,463,854,537,329,913,329,543,967,726,485,353,987,098,568,036,149,320,607,
882,331,086,728,062,457,835,759,944,561,854,013,872,676,245,382,666,179,943,
866,780,655,428,318,133,305,505,847,121,561,527,409,832,370,227,349,877,541,
201,734,923,975,878,384,522,508,052,440,685,714,748,340,086,445,113,935,604,
630,875,403,292,768,557,852,091,410,596,159,571,276,580,644,520,096,644,265,
425,879,568,744,741,601,846,480,966,732,769,885,325,955,766,646,891,508,882,
708,339,717,468,868,429,018,668,193,964,657,843,672,648,832,562,958,889,942,
588,163,261,416,170,159,172,270,010,056,831,659,917,746,392,739,683,516,805,
531,346,622,030,388,388,154,963,125,072,200,008,811,328,581,451,423,548,964,
244,638,434,924,447,627,956,982,632,933,909,674,861,028,053,162,740,588,109,
955,358,237,267,454,636,083,216,657,764,459,547,954,969,141,756,570,280,146,
066,617,552,133,922,404,412,264,386,690,164,824,376,867,015,502,310,588,812,
038,765,557,586,826,822,888,055,550,467,140,635,332,790,526,989,282,112,041,
163,740,084,808,311,532,011,066,292,476,916,564,463,814,348,245,561,032,215,
025,576,650,174,193,516,934,446,812,300,460,863,393,638,554,864,046,540,382,
314,333,527,042,163,654,539,589,091,576,396,474,641,568,670,386,520,610,882,
909,641,546,102,800,159,077,486,309,114,430,763,012,041,255,570,841,247,995,
173,201,988,514,742,266,163,561,238,908,460,924,594,350,509,095,948,551,925,
088,918,475,239,679,984,238,918,240,703,108,479,131,583,644,730,033,510,035,
639,482,685,650,163,454,384,771,971,539,454,805,588,175,601,306,514,031,745,
733,485,296,591,907,681,495,425,774,569,368,010,152,243,199,425,938,375,363,
850,794,859,737,129,554,235,943,536,847,032,566,439,863,650,470,662,609,168,
937,555,413,463,794,892,786,507,955,213,820,891,331,335,088,475,921,640,458,
529,588,296,171,031,226,152,103,771,858,288,431,679,255,370,289,485,708,586,
802,659,117,635,547,507,725,677,995,339,267,911,224,508,587,400,629,841,053,
251,110,339,468,665,924,371,860,107,966,941,677,909,488,221,118,508,351,562,
662,729,518,441,766,662,217,627,183,743,271,103,233,524,289,814,527,154,488,
548,458,237,482,675,304,985,004,260,346,902,865,476,428,152,296,170,580,161,
551,184,925,698,058,977,488,041,240,433,397,730,093,134,052,612,314,591,066,
363,874,993,752,485,805,318,988,355,518,995,739,039,108,926,748,765,962,719,
030,640,847,528,522,477,063,239,779,456,472,950,153,748,818,284,373,700,458,
760,285,067,132,276,055,713,432,222,235,867,911,781,205,431,300,250,955,080,
368,035,807,931,804,483,932,748,360,375,578,051,807,816,486,135,477,172,258,
712,713,817,785,329,632,100,700,052,108,031,423,817,744,081,894,606,846,374,
949,967,322,074,500,925,474,798,203,171,482,883,045,867,128,643,047,896,454,
279,988,667,512,316,461,130,514,496,425,588,385,745,389,251,355,975,782,934,
695,997,188,736,862,836,053,608,139,490,137,207,324,435,517,104,559,543,519,
040,125,669,169,345,056,223,324,259,831,245,148,952,027,510,240,417,398,821,
850,588,848,966,151,329,351,118,640,624,828,908,579,460,189,399,102,401,662,
599,013,225,239,459,882,550,495,021,192,420,155,269,309,491,286,759,639,193,
402,392,776,262,290,205,799,405,577,174,638,966,380,916,901,475,229,992,257,
606,331,162,124,276,189,007,179,407,791,258,351,591,215,146,266,299,298,931,
221,968,363,553,458,800,421,163,110,599,433,840,090,543,469,788,042,472,602,
562,097,071,169,633,160,303,251,989,881,882,419,862,539,670,348,330,632,805,
954,272,171,588,006,701,319,095,918,773,146,755,787,116,892,685,960,976,498,
674,385,706,134,451,617,123,717,845,442,654,141,864,350,250,170,556,920,345,
371,400,260,892,539,055,115,909,484,385,417,203,894,290,494,783,921,799,642,
443,908,721,817,020,602,766,598,014,238,113,285,540,020,923,399,116,836,507,
598,237,188,995,982,190,690,028,841,881,077,643,496,497,671,347,532,119,723,
734,559,246,165,952,409,392,394,159,171,612,062,384,820,941,901,174,806,801,
882,499,688,804,878,292,254,943,150,854,207,809,240,834,917,174,423,403,097,
911,376,365,473,591,570,784,970,972,550,976,495,755,566,824,441,298,765,527,
241,674,871,011,873,021,650,846,459,552,418,474,180,334,401,065,533,387,744,
639,220,911,038,844,354,160,489,411,473,612,737,325,814,261,188,083,742,052,
494,676,730,009,890,172,324,008,251,277,199,564,298,612,624,325,555,328,320,
098,816,784,071,118,392,853,721,852,155,360,555,262,953,423,561,196,692,479,
827,653,086,623,379,789,379,830,490,163,525,034,079,910,231,618,735,687,160,
868,896,450,568,329,734,600,182,059,373,618,542,236,683,673,919,868,411,292,
885,033,975,023,524,772,947,379,200,443,877,817,615,272,508,561,035,282,443,
806,750,948,599,341,341,119,541,554,006,929,385,545,587,381,314,547,582,504,
179,011,281,713,140,144,045,812,779,312,797,130,367,248,686,579,049,608,543,
380,995,840,429,740,384,555,557,973,137,046,554,367,580,896,794,156,518,315,
272,002,690,993,352,207,769,477,260,886,409,149,753,584,954,952,662,231,331,
215,242,747,986,379,424,025,112,096,080,477,661,976,829,199,365,238,425,914,
718,060,955,126,619,057,167,653,915,037,284,040,396,048,904,177,790,631,498,
931,588,153,337,774,651,217,153,983,759,329,559,668,911,423,952,516,353,470,
585,738,055,896,860,580,956,580,422,608,300,172,661,424,529,148,950,466,087,
574,508,498,633,709,757,539,515,981,799,922,154,784,043,773,942,796,377,471,
737,576,162,848,322,381,775,509,422,765,023,640,735,021,278,941,380,244,958,
582,421,243,596,072,366,355,052,225,760,505,687,506,137,281,280,866,931,695,
188,052,050,895,009,349,131,438,307,739,223,345,384,922,592,341,979,836,443,
612,460,982,341,172,370,738,063,894,579,022,370,788,639,765,744,192,491,590,
035,533,754,312,248,101,692,803,378,935,909,360,897,604,199,495,799,730,389,
120,768,506,207,415,033,012,599,538,062,040,903,201,355,187,056,425,570,918,
530,588,100,909,657,197,778,262,529,357,157,361,677,400,152,848,671,585,102,
291,146,910,371,261,115,983,809,865,886,991,945,984,187,838,939,262,126,944,
466,661,520,194,766,423,931,010,814,238,334,089,760,444,196,350,550,002,503,
270,013,132,750,212,425,556,100,746,363,095,509,770,323,999,025,848,745,259,
300,984,359,181,753,283,786,243,029,436,404,806,475,600,994,300,245,069,404,
225,330,831,980,259,623,443,312,438,510,265,598,641,194,560,538,814,698,533,
092,002,714,277,820,462,331,810,475,535,417,789,727,107,549,703,009,640,730,
088,095,983,107,700,071,256,561,612,224,104,309,179,516,323,479,744,714,184,
093,827,655,542,577,200,311,927,380,303,432,054,543,531,340,765,132,277,695,
851,112,142,028,850,017,858,200,218,811,156,620,451,291,068,870,372,652,436,
791,933,523,939,662,767,124,057,928,694,994,283,761,710,958,301,950,887,590,
543,592,221,883,410,240,128,735,343,995,355,245,043,684,232,441,455,557,856,
048,407,528,227,752,429,381,977,026,035,223,007,466,425,066,848,484,730,619,
122,714,416,795,432,902,867,080,849,606,728,823,958,949,038,681,240,715,752,
458,259,306,329,640,278,606,053,705,426,212,487,354,410,973,496,526,553,218,
988,104,086,977,603,812,655,652,844,913,536,668,416,971,162,986,762,877,555,
665,850,287,935,668,705,814,668,106,354,413,788,020,542,480,713,733,040,545,
414,471,663,801,881,927,809,377,209,502,421,120,336,080,742,937,088,235,721,
520,582,724,483,368,757,201,780,410,083,070,488,697,866,061,416,795,704,377,
732,944,918,334,008,258,686,802,526,691,194,561,777,738,035,501,085,693,039,
514,441,552,654,150,748,332,892,875,438,220,738,782,611,165,873,122,369,124,
980,768,764,428,645,783,319,732,170,958,471,873,766,305,925,632,715,420,703,
479,115,535,298,749,823,564,039,307,722,375,204,748,408,802,529,521,846,202,
133,469,197,997,529,972,162,625,767,886,013,498,828,800,519,092,285,660,561,
144,696,598,560,736,201,729,824,249,869,819,138,070,602,280,929,487,247,546,
796,892,069,611,711,763,988,438,648,740,851,738,126,905,454,884,636,817,089,
999,490,749,922,538,576,673,452,057,741,006,532,658,633,889,235,881,804,506,
948,549,688,354,503,215,786,486,136,452,918,464,156,756,034,131,077,288,616,
366,833,949,230,682,000,863,419,799,536,673,900,531,996,125,368,182,211,598,
817,181,106,354,603,417,554,847,498,798,888,210,641,441,179,404,610,589,951,
119,655,674,176,212,846,601,078,576,649,050,788,844,684,900,869,626,549,098,
970,527,638,819,822,298,336,452,641,623,115,787,217,656,972,013,522,493,409,
788,833,076,031,554,163,710,382,473,762,592,706,423,296,740,120,422,099,421,
702,033,086,939,712,527,544,571,828,871,420,367,218,693,079,930,889,686,272,
070,482,255,205,949,670,412,009,901,341,609,859,140,000,438,449,008,413,617,
687,375,340,408,585,793,811,557,148,006,856,115,869,263,552,314,059,416,388,
259,904,519,245,449,894,073,551,044,763,720,588,683,263,573,711,732,775,838,
896,277,108,222,562,910,821,378,231,426,286,522,603,239,691,848,044,880,990,
103,636,566,617,715,444,381,942,721,536,940,634,714,078,697,676,494,955,945,
198,052,088,559,549,731,538,332,962,336,283,524,277,445,045,715,179,524,388,
017,431,066,282,053,561,914,005,323,355,874,385,539,550,001,666,963,399,650,
119,773,745,421,831,182,065,460,753,561,517,565,807,114,049,925,958,685,176,
673,604,113,097,357,105,846,555,474,223,685,636,143,501,227,169,314,310,102,
234,792,766,129,364,874,687,952,396,418,074,174,010,269,295,744,344,458,994,
462,056,271,399,228,287,237,610,343,794,758,718,582,923,857,198,321,486,745,
444,937,144,735,127,734,940,335,935,827,259,382,158,724,114,296,521,567,838,
978,404,959,856,020,902,949,778,139,253,084,544,873,757,471,942,701,186,836,
147,652,394,844,837,344,477,221,128,183,319,318,945,526,418,299,283,523,106,
529,400,469,964,365,924,306,509,619,563,643,535,069,362,326,676,802,878,515,
288,585,060,410,601,491,834,061,660,175,754,278,780,019,300,851,822,810,765,
107,085,537,645,905,356,756,297,022,471,661,808,987,532,518,544,937,924,808,
869,274,068,637,604,576,305,843,160,289,411,645,043,637,675,557,878,347,273,
480,093,007,631,829,593,089,739,129,351,439,287,819,503,772,543,554,533,463,
752,822,035,836,340,297,205,479,636,578,101,286,931,494,459,883,771,206,594,
304,848,209,727,634,331,028,407,752,143,261,408,173,620,021,866,719,761,251,
417,006,048,034,409,544,925,414,444,209,100,575,456,570,833,814,977,019,395,
525,344,629,649,613,208,650,283,397,548,733,331,003,067,720,214,586,966,556,
457,178,538,994,186,275,423,416,505,299,693,862,805,982,016,025,277,017,332,
778,649,362,629,992,438,105,795,827,126,884,005,822,860,260,992,688,809,081,
295,529,919,725,492,613,059,072,216,578,596,760,348,567,902,523,804,258,637,
364,626,505,136,839,731,115,718,348,601,375,775,692,502,680,996,529,353,971,
628,835,878,728,593,562,360,841,139,751,972,981,148,024,873,306,629,515,798,
542,596,336,130,929,535,853,765,362,947,713,253,800,908,132,150,978,402,612,
122,730,790,900,974,253,799,198,194,237,403,629,895,569,806,892,483,795,493,
701,072,029,168,268,035,236,342,614,740,408,497,604,344,349,456,921,061,519,
250,657,773,307,544,363,952,799,999,517,521,761,042,715,515,203,700,386,420,
992,880,028,908,596,474,064,271,321,848,622,640,891,124,992,555,573,642,848,
601,381,101,382,866,047,998,980,345,808,827,171,022,563,911,049,253,342,900,
874,962,100,352,425,399,348,642,139,090,572,940,723,090,680,447,521,281,791,
153,506,709,549,869,266,588,364,641,028,182,520,620,270,517,259,493,444,766,
820,473,958,130,491,057,981,310,228,685,356,667,925,348,803,032,137,379,632,
104,404,626,905,683,310,428,140,984,330,635,085,401,319,450,626,067,111,272,
378,005,151,448,059,484,780,068,112,326,702,925,829,303,002,633,117,875,254,
976,135,863,871,494,430,417,322,954,601,433,823,200,433,700,230,986,661,760,
261,421,535,409,413,523,088,421,422,138,292,066,486,404,553,254,599,617,005,
214,021,796,605,080,719,339,769,528,653,596,758,048,396,550,190,553,196,129,
991,290,855,556,406,374,297,955,331,202,289,891,096,974,116,799,353,161,495,
703,749,065,440,027,872,636,422,037,166,789,089,746,299,767,857,301,936,085,
283,473,068,612,616,872,802,469,919,363,968,235,051,720,503,235,884,014,777,
481,474,300,088,217,625,456,809,233,044,456,150,665,303,734,706,434,957,486,
461,763,558,438,973,482,926,952,674,772,523,983,047,616,696,156,954,963,760,
013,464,360,131,980,285,319,742,184,628,663,322,054,134,560,812,923,960,321,
039,961,849,854,704,392,301,487,337,338,083,338,980,706,228,538,184,639,788,
301,310,674,363,252,054,828,749,732,708,608,716,613,062,124,606,333,884,860,
703,073,585,731,447,667,824,078,870,812,372,383,872,530,995,873,474,758,928,
088,058,599,789,066,175,203,712,462,659,524,128,297,300,393,747,339,561,265,
506,508,806,150,932,846,062,350,626,299,484,668,745,593,173,471,433,212,938,
854,577,844,363,873,495,764,559,338,120,456,224,391,265,257,532,682,210,608,
937,023,246,290,958,479,215,912,729,740,208,883,633,675,337,528,449,560,916,
878,968,016,737,635,091,535,855,391,814,471,529,876,430,195,838,731,855,896,
931,836,162,306,554,112,456,618,635,167,908,331,397,862,180,983,084,414,452,
664,715,954,069,522,446,310,149,445,446,434,301,502,217,076,381,283,034,659,
311,887,268,075,996,133,039,728,636,140,369,608,386,967,842,842,695,903,808,
963,363,048,825,667,136,289,797,281,362,929,857,897,348,068,040,549,646,409,
765,541,553,483,901,524,478,175,896,200,616,476,386,702,751,392,966,299,702,
968,190,157,673,573,954,666,147,329,682,741,253,295,482,453,672,827,934,063,
468,691,592,360,016,185,623,499,179,745,730,179,962,076,255,582,655,144,664,
745,866,659,689,753,336,425,622,504,288,219,278,852,677,368,559,787,151,831,
118,662,307,873,728,985,190,899,055,886,626,318,662,301,821,637,927,854,787,
129,001,981,091,967,277,661,091,365,621,800,880,914,433,717,417,243,220,551,
535,489,652,356,048,286,436,788,101,472,372,961,893,554,839,937,270,332,147,
230,537,743,459,526,238,839,215,149,272,880,240,558,249,090,750,240,994,165,
331,554,470,762,392,676,247,923,764,897,334,378,348,115,933,586,364,444,168,
919,807,283,858,815,959,338,771,125,770,886,601,417,495,518,035,368,965,391,
718,076,002,501,324,601,152,388,206,280,769,822,464,755,456,093,234,397,358,
939,830,975,356,213,259,253,343,329,002,070,275,064,441,057,426,161,992,052,
230,976,090,593,110,881,475,764,804,385,795,657,355,578,389,109,957,537,139,
553,200,505,346,815,487,456,659,419,693,202,378,942,730,435,945,192,531,603,
207,736,257,466,245,541,111,577,835,397,265,038,335,787,450,683,934,707,375,
043,847,512,516,829,726,253,952,219,620,847,060,828,619,721,830,055,630,404,
991,570,955,721,241,328,541,766,065,595,604,030,385,042,658,572,353,423,790,
245,212,385,412,292,624,644,313,579,875,964,309,243,913,814,107,986,316,842,
176,342,830,329,236,236,544,207,495,904,032,158,271,225,472,546,874,613,570,
802,586,036,733,133,896,637,123,656,490,507,342,553,293,334,428,967,774,411,
973,458,355,771,140,707,407,783,369,717,667,441,899,381,125,445,658,766,149,
209,814,303,890,744,658,236,451,644,137,855,208,270,129,403,170,556,082,294,
737,600,575,822,546,604,083,171,300,400,651,297,367,231,304,899,930,757,452,
402,320,613,666,811,772,180,982,907,697,430,144,292,161,293,009,842,115,397,
624,342,422,135,689,835,725,301,994,427,890,918,850,265,591,802,897,513,806,
065,007,214,035,130,396,990,318,759,553,536,435,030,306,376,416,069,564,519,
873,890,954,532,457,083,249,353,853,963,815,129,554,062,295,975,487,200,164,
574,842,482,535,967,676,691,185,416,264,513,228,262,971,772,469,568,668,732,
838,533,622,447,523,601,512,911,848,750,029,075,545,024,238,797,944,085,835,
344,251,083,137,024,811,109,145,525,951,060,615,354,415,790,811,539,559,588,
467,130,660,107,545,351,325,846,484,864,999,561,286,127,191,777,233,113,755,
129,800,892,981,012,440,856,470,897,763,906,784,736,619,184,465,839,457,994,
028,831,948,246,660,052,221,424,307,849,644,216,513,099,652,754,371,034,690,
375,172,963,006,002,899,937,623,179,205,022,525,014,448,894,578,146,764,254,
563,973,938,794,113,006,332,561,244,043,980,104,894,488,968,784,014,228,306,
288,504,875,347,220,921,507,100,982,971,944,217,872,571,401,573,853,788,197,
912,161,358,507,098,353,403,724,954,981,585,861,870,220,097,585,273,412,665,
741,606,107,503,244,259,496,723,462,094,431,307,603,647,275,233,550,040,496,
336,891,352,343,726,147,246,848,310,740,624,692,835,498,826,037,897,350,558,
953,310,581,483,314,889,798,218,623,652,916,539,784,945,792,894,512,165,823,
769,143,064,187,750,532,167,360,908,003,556,338,790,901,993,314,861,438,102,
935,593,372,152,062,877,795,804,061,604,891,543,887,770,456,126,530,823,583,
771,339,194,459,347,896,453,392,783,833,416,285,561,662,079,066,743,556,947,
456,326,872,259,018,449,581,215,299,630,882,299,086,962,396,059,359,090,103,
243,098,078,020,220,425,464,983,818,289,525,166,970,975,206,719,360,234,224,
965,531,785,578,518,887,798,441,997,731,770,743,205,897,984,306,807,885,730,
082,692,735,651,322,677,580,411,991,518,190,945,357,101,392,378,533,024,402,
105,643,419,549,015,726,504,761,043,384,614,174,151,856,877,908,209,875,009,
685,035,349,868,430,654,842,218,884,978,423,186,059,793,067,501,087,172,299,
246,532,484,917,525,884,757,898,175,835,045,698,496,941,758,821,440,895,346,
137,367,335,229,322,905,267,205,073,602,416,411,510,524,778,150,689,601,362,
917,397,021,456,632,304,422,720,462,829,945,868,704,485,022,122,730,807,407,
589,827,339,742,188,369,839,102,482,993,289,796,677,480,315,742,807,716,108,
239,211,804,053,337,187,117,592,888,022,495,630,384,684,848,528,747,871,541,
535,293,074,351,264,813,807,065,635,197,697,404,617,319,862,614,690,552,823,
446,127,133,126,922,270,558,240,628,383,058,220,777,466,113,245,857,038,510,
047,859,404,659,302,422,443,430,837,004,315,830,548,747,765,925,697,614,592,
686,017,966,939,774,530,080,264,214,024,035,480,348,461,554,482,307,136,031,
923,958,775,121,452,557,221,916,303,602,086,555,561,800,157,364,830,133,609,
440,334,613,780,879,903,516,325,800,174,399,113,619,291,056,269,599,167,857,
926,178,186,669,155,132,119,780,941,371,115,443,718,514,167,677,511,463,666,
136,922,328,594,006,147,347,146,474,737,730,796,876,282,531,335,947,707,073,
502,384,229,379,617,240,128,239,534,272,366,730,910,108,052,709,166,429,541,
732,461,691,542,211,956,318,182,541,263,678,997,920,326,064,989,655,095,844,
497,841,320,042,543,872,214,198,996,711,877,882,867,000,349,420,797,075,721,
280,281,588,207,838,420,080,260,995,413,301,873,836,745,496,143,223,853,598,
751,590,139,353,842,022,665,596,751,381,238,488,604,161,302,210,917,425,360,
336,524,006,561,997,766,215,387,024,253,504,947,636,764,870,302,182,793,318,
449,964,357,062,365,222,959,477,879,032,881,758,256,071,795,181,397,338,367,
211,031,587,006,665,949,936,192,578,798,537,343,867,541,655,711,761,904,431,
562,392,617,505,996,235,951,836,733,054,283,944,947,169,501,454,876,730,317,
110,364,266,162,220,039,306,627,034,660,373,083,521,633,185,437,290,178,831,
331,063,104,521,128,116,126,595,761,275,201,923,920,482,752,619,308,982,601,
793,256,096,229,264,456,105,530,172,122,621,543,580,530,623,862,008,372,168,
966,500,407,500,062,635,062,034,194,470,146,380,196,251,278,045,568,907,904,
243,762,494,970,502,417,530,837,188,470,228,551,045,903,866,725,669,353,369,
652,784,675,113,510,544,126,657,406,914,007,645,214,078,922,236,429,078,032,
430,909,000,389,571,668,497,028,972,171,715,022,197,823,217,621,359,402,196,
063,121,333,426,898,348,351,363,644,751,131,551,471,803,034,942,769,366,938,
198,321,639,179,668,193,961,908,115,746,393,996,644,126,226,221,729,076,423,
430,931,580,318,750,819,672,084,460,315,259,133,285,582,983,177,345,497,990,
110,178,609,760,301,453,713,148,829,752,269,309,804,021,932,239,748,988,201,
270,831,001,662,002,510,116,188,478,650,515,957,726,358,103,356,062,549,934,
780,326,857,876,764,056,885,630,597,317,802,391,858,194,281,372,719,371,053,
707,815,706,300,468,921,162,638,701,922,842,741,640,516,842,516,060,839,577,
377,962,247,783,639,893,351,964,791,867,263,886,003,174,594,647,310,843,642,
150,533,023,173,499,671,108,927,641,529,920,547,039,285,582,662,280,631,647,
484,040,713,537,940,461,739,749,084,847,760,166,234,022,063,342,852,347,402,
615,850,857,531,589,313,633,592,155,731,408,461,507,251,981,941,257,720,828,
512,341,712,481,524,575,812,588,522,757,177,071,547,273,184,113,855,454,468,
738,883,343,529,938,736,648,802,085,176,859,314,151,055,991,684,082,648,973,
462,508,941,276,461,014,050,708,328,960,525,146,152,637,826,678,063,270,471,
286,296,141,484,688,369,023,314,292,876,394,697,706,299,046,335,422,303,203,
910,965,575,585,422,796,844,744,282,350,940,794,400,581,335,930,739,453,102,
364,052,662,617,495,643,180,228,857,708,186,274,346,445,659,179,122,095,673,
381,345,903,252,569,449,205,659,776,189,606,430,964,353,456,732,885,505,261,
703,926,093,498,687,653,075,717,748,650,882,825,561,592,065,460,671,100,534,
722,730,184,370,075,753,014,714,101,411,979,354,518,757,575,119,549,432,959,
897,650,966,415,983,996,442,943,968,180,166,908,572,108,890,054,427,175,495,
115,205,679,137,562,802,091,311,907,356,399,738,769,953,602,202,318,046,233,
446,587,771,907,629,291,112,694,650,505,825,166,524,179,534,561,232,362,179,
535,551,176,462,677,064,499,762,705,016,689,197,591,027,339,316,876,032,844,
959,409,924,960,772,536,130,709,809,787,930,135,081,143,335,244,936,243,218,
005,025,324,918,017,365,829,819,363,844,899,880,170,317,412,265,755,809,554,
834,469,164,311,265,739,309,584,679,621,737,571,279,593,619,378,698,108,775,
061,590,951,174,975,296,159,789,892,054,840,595,264,167,790,211,579,228,045,
229,432,912,398,754,229,508,805,768,917,461,861,441,498,290,317,282,173,965,
904,635,629,176,955,037,023,407,420,465,298,661,767,999,885,201,953,599,522,
326,932,821,439,275,575,963,878,229,126,364,444,379,419,157,207,748,468,417,
857,686,533,348,731,799,835,867,963,480,763,113,986,120,000,320,914,583,665,
963,503,502,846,798,394,946,389,865,641,035,869,790,720,574,979,802,757,035,
004,513,665,959,407,936,987,302,983,922,521,379,656,978,955,290,504,090,570,
723,853,427,450,343,392,938,211,783,776,657,515,094,323,310,713,142,265,603,
264,892,878,891,195,906,812,706,574,985,520,207,912,727,570,898,785,820,809,
002,087,055,971,738,620,664,386,663,893,364,148,737,051,875,086,664,196,090,
477,565,963,224,457,200,962,745,474,905,969,206,981,260,233,904,805,202,462,
675,629,241,465,171,746,196,395,484,646,110,861,291,073,628,078,339,756,672,
763,804,014,571,144,774,487,436,445,763,501,581,171,078,749,774,439,951,648,
363,556,115,051,330,224,963,447,064,370,010,115,596,129,391,228,243,264,521,
973,613,396,070,483,897,792,639,920,627,109,404,148,237,216,879,903,053,820,
551,843,295,412,538,834,955,039,320,013,047,305,627,626,231,080,145,520,500,
712,843,004,742,954,138,963,086,761,874,725,870,800,930,259,446,590,279,414,
845,099,627,809,082,345,913,879,811,829,449,403,830,679,905,877,499,096,798,
103,493,697,006,068,083,384,636,901,487,871,371,648,485,438,841,619,325,605,
055,746,030,117,245,482,879,474,545,246,437,555,177,834,111,518,982,995,218,
874,201,685,251,968,747,283,669,091,671,025,154,111,312,336,338,142,524,032,
428,390,263,768,731,986,566,791,851,323,951,709,218,366,075,863,304,393,699,
564,161,736,734,606,592,547,516,088,101,440,422,133,918,511,972,588,649,113,
274,703,021,906,562,116,569,976,558,499,154,859,247,049,229,048,046,076,549,
344,204,052,800,574,861,018,376,788,354,852,862,065,915,337,488,588,994,669,
915,248,206,982,575,512,812,702,885,572,454,725,239,972,777,594,462,304,832,
961,950,021,650,892,015,472,997,643,125,013,790,662,699,997,585,553,046,473,
074,818,034,302,330,173,090,208,652,582,290,271,118,062,022,547,033,986,219,
193,981,937,403,257,727,646,441,116,665,786,683,131,653,361,068,766,667,310,
907,725,114,481,205,916,607,054,451,858,092,019,619,763,824,509,702,117,964,
356,564,554,329,116,506,080,679,294,977,879,280,045,788,425,142,955,023,830,
223,823,353,821,457,783,064,730,358,938,828,671,285,899,363,965,646,528,175,
540,855,941,273,180,351,859,876,896,189,212,904,381,742,083,299,539,321,280,
281,350,855,686,127,077,391,707,207,803,725,340,155,115,949,836,048,676,446,
107,437,518,217,114,630,877,043,681,814,978,997,591,444,800,697,632,901,106,
842,825,721,094,429,367,891,768,882,139,499,824,548,598,180,714,957,441,769,
979,627,683,271,435,701,340,573,364,308,827,349,306,764,136,887,855,281,626,
300,802,700,840,186,554,798,550,668,785,535,236,616,530,994,979,201,182,167,
393,869,660,168,907,347,611,270,697,904,282,689,323,210,489,881,533,895,724,
376,066,850,986,518,646,004,983,145,124,705,190,621,820,227,165,839,993,858,
670,743,549,018,446,754,231,457,596,347,943,374,526,103,058,740,406,919,202,
185,015,925,482,476,141,652,818,164,315,421,339,233,374,124,276,187,105,631,
561,159,202,837,916,433,342,857,534,574,927,264,749,286,511,805,844,502,594,
348,117,997,167,488,266,561,811,337,721,826,272,666,560,392,703,632,637,921,
146,849,377,306,550,495,434,346,909,654,050,855,164,891,564,867,650,653,932,
228,446,629,276,459,359,891,322,053,033,169,833,106,018,938,816,235,221,024,
012,044,404,427,699,222,303,239,297,116,859,419,010,520,208,510,339,522,083,
023,326,306,708,071,331,602,974,535,575,228,176,824,686,419,494,719,466,208,
143,813,153,860,318,110,133,831,030,065,604,843,060,466,454,402,658,146,179,
858,734,141,181,580,769,527,329,021,993,008,418,595,089,981,966,509,732,923,
164,902,059,109,957,206,386,224,794,509,421,058,005,156,625,355,869,468,304,
237,691,815,446,426,678,268,485,401,421,090,859,938,587,846,094,984,059,608,
776,055,457,918,052,469,569,040,704,775,527,528,563,414,581,833,031,807,943,
199,208,080,512,759,059,793,068,743,241,745,426,266,087,441,442,663,784,575,
425,458,239,123,526,715,139,942,423,565,724,175,068,280,413,441,810,446,090,
340,094,347,331,303,632,618,462,253,731,251,706,254,768,113,735,976,330,395,
146,553,361,169,081,690,924,284,211,029,449,768,472,706,637,632,412,244,862,
068,180,066,361,156,655,681,925,476,866,174,999,168,734,931,515,269,998,897,
354,589,211,772,033,861,324,708,513,408,909,623,317,889,354,034,242,754,281,
470,294,869,610,527,839,666,884,506,551,970,446,103,607,228,818,065,362,512,
770,641,494,444,390,164,463,533,262,273,195,547,868,829,894,753,200,224,946,
356,279,333,432,222,245,271,169,238,017,943,239,986,822,291,951,036,750,620,
462,985,134,950,719,604,707,707,750,728,427,752,913,321,420,774,934,082,594,
493,603,189,539,922,909,972,553,022,377,585,069,344,835,170,035,423,389,748,
911,280,457,985,783,063,157,270,453,098,645,420,367,625,955,036,211,455,281,
280,438,047,025,364,417,710,726,505,909,261,440,332,350,264,033,047,505,135,
442,817,695,069,835,138,364,282,411,839,898,558,460,461,142,843,340,515,932,
682,800,015,517,957,699,064,878,672,393,441,734,413,765,873,930,630,061,577,
629,689,099,797,172,761,157,154,316,015,952,326,262,525,044,113,059,088,329,
109,716,586,863,200,059,321,435,746,099,423,314,419,090,598,716,791,723,769,
696,616,105,269,322,070,834,511,116,456,447,731,661,968,848,623,388,826,988,
889,414,490,667,310,120,469,893,788,413,543,044,292,519,981,933,658,154,028,
923,204,089,449,012,463,683,927,259,807,853,328,095,212,406,119,224,225,622,
904,734,837,142,596,626,781,515,180,120,244,108,103,321,178,787,554,510,717,
888,169,374,371,803,659,024,058,206,729,673,867,133,351,817,714,657,586,911,
767,761,116,930,895,130,140,461,705,009,669,607,080,605,105,547,282,207,897,
274,969,276,330,688,955,812,394,997,304,916,530,502,273,653,199,176,579,154,
483,725,995,999,799,250,186,623,612,250,278,518,827,119,337,415,128,332,336,
212,901,364,358,035,695,159,443,134,053,811,357,554,785,293,117,159,871,499,
196,237,909,514,902,533,970,049,558,085,203,963,341,423,496,091,914,958,577,
332,856,579,121,917,072,720,242,374,348,967,741,244,310,710,283,037,082,532,
151,493,534,630,170,142,398,817,338,240,283,807,715,470,348,371,441,656,721,
167,199,186,056,177,356,326,407,846,353,514,780,014,975,440,116,666,874,313,
049,107,900,587,902,528,697,399,345,550,493,995,350,219,863,238,335,855,250,
582,825,890,409,810,506,990,216,115,602,747,146,487,886,591,925,453,719,855,
308,030,002,878,880,033,443,138,602,797,969,524,803,562,655,978,288,745,754,
595,715,068,193,809,967,900,219,420,945,621,796,104,599,890,447,199,407,488,
516,859,308,239,859,995,228,370,588,828,222,989,042,558,288,313,046,723,333,
167,002,670,397,550,021,709,046,775,954,170,139,676,463,481,582,356,651,348,
693,471,312,767,060,360,610,971,687,457,327,726,215,613,161,823,575,579,714,
233,128,643,786,119,149,611,513,543,680,643,043,297,175,410,887,034,884,353,
245,599,649,295,951,320,242,058,980,544,387,389,911,902,217,159,143,713,584,
341,927,198,052,828,679,587,826,977,190,041,283,410,457,478,421,594,875,497,
100,232,697,707,498,481,446,532,928,150,448,356,462,356,756,511,643,164,813,
591,857,163,546,203,071,744,667,920,293,509,421,663,356,743,667,994,492,318,
558,637,681,233,546,960,495,991,822,573,366,251,427,439,892,883,923,350,279,
105,694,600,510,702,509,818,149,867,264,574,617,947,318,206,326,050,936,567,
135,216,529,390,676,492,825,831,581,648,057,696,131,679,624,895,280,191,954,
574,323,944,426,028,324,659,445,152,780,627,432,773,274,718,957,296,901,156,
565,202,519,016,959,273,256,353,766,930,823,483,159,304,779,221,057,011,102,
278,401,089,804,697,617,159,597,646,788,549,991,580,140,034,797,555,647,564,
110,479,146,252,960,333,957,219,494,363,026,238,942,342,598,859,382,941,891,
065,632,288,821,338,640,533,233,666,697,204,014,290,999,890,238,750,903,345,
199,656,964,546,138,565,095,082,649,955,517,526,832,821,074,012,226,278,854,
373,813,401,997,419,323,167,397,988,916,570,329,876,064,117,134,461,909,573,
842,960,606,765,491,794,134,195,471,567,048,036,343,255,555,251,515,443,229,
939,407,643,857,737,869,931,549,826,305,724,361,458,938,210,168,650,852,960,
633,621,510,932,161,415,307,590,528,743,030,901,126,503,822,747,180,308,803,
282,819,304,472,707,285,006,866,824,817,442,732,662,880,910,304,075,784,477,
747,658,237,816,963,915,410,359,896,421,432,717,905,659,014,955,335,169,687,
787,760,337,153,826,741,635,289,528,124,757,549,966,234,081,553,966,678,031,
079,248,619,831,655,768,813,463,006,205,755,069,715,411,716,870,298,584,024,
448,714,232,139,850,477,400,863,434,665,904,815,623,634,424,390,703,618,651,
271,658,862,271,131,781,598,173,492,574,295,257,659,196,680,203,498,224,742,
208,962,644,843,516,089,626,140,985,757,202,831,048,492,145,197,441,983,661,
599,967,473,051,859,281,613,151,759,320,779,576,698,393,011,653,917,838,278,
826,695,527,428,609,745,658,152,613,689,933,345,446,064,221,232,296,457,432,
682,462,192,008,133,911,403,163,839,870,247,731,644,811,764,356,513,725,578,
638,786,774,957,993,726,261,693,960,531,011,198,422,927,853,807,531,937,486,
552,240,933,056,766,678,971,619,606,032,606,137,338,049,656,102,731,292,556,
188,793,512,537,069,937,030,028,516,276,010,044,304,514,247,519,703,999,129,
018,870,343,070,864,661,932,301,332,022,894,006,983,023,901,487,390,035,612,
551,147,552,683,934,321,771,176,031,300,675,978,213,287,515,367,150,172,860,
406,861,486,931,753,202,645,317,693,771,138,147,628,216,516,398,939,490,186,
063,417,110,553,758,623,534,343,551,030,221,304,273,771,761,585,194,480,400,
109,666,264,577,537,838,192,014,076,878,499,964,927,239,122,952,664,909,578,
799,824,965,229,713,245,215,294,286,155,223,476,013,997,580,457,661,329,582,
426,507,868,465,657,813,200,235,981,317,464,858,344,257,977,291,859,438,596,
095,923,638,481,700,455,587,919,560,972,625,986,962,299,744,447,972,984,024,
990,089,308,009,705,227,707,277,907,910,436,199,847,990,688,243,844,806,068,
164,760,306,821,042,237,790,932,413,466,425,635,813,385,275,953,258,957,139,
099,313,445,273,836,333,668,579,870,313,366,483,618,093,592,853,138,679,131,
428,279,131,317,186,711,351,202,745,767,988,928,614,215,311,836,734,634,400,
107,143,608,158,210,458,480,851,855,134,507,082,419,455,785,607,847,508,386,
088,444,758,974,634,977,453,061,765,228,172,483,318,027,010,692,483,452,642,
843,849,988,566,334,166,617,519,488,550,424,072,675,920,877,690,488,008,168,
444,117,818,196,758,643,967,668,736,701,296,632,222,891,152,007,174,020,064,
842,677,432,261,671,561,663,464,011,254,216,287,422,238,104,130,762,739,222,
953,195,566,062,664,140,450,890,866,771,279,058,814,379,900,209,204,854,714,
401,457,088,866,573,298,547,970,903,385,387,124,240,564,927,936,350,087,370,
525,514,072,656,249,257,172,516,048,613,779,629,053,529,848,211,837,185,850,
579,196,860,656,379,151,168,780,217,445,640,684,758,857,803,147,839,111,091,
608,451,720,574,318,830,465,461,282,780,655,677,405,482,295,658,425,705,401,
158,457,648,078,617,393,119,532,638,095,456,274,896,946,206,690,152,027,579,
883,712,196,178,106,617,344,894,347,377,783,462,182,753,031,617,199,984,023,
494,880,586,219,923,231,069,723,866,424,739,601,128,260,163,404,673,573,597,
499,024,123,951,852,513,349,025,639,862,622,433,829,417,266,556,165,775,705,
837,543,482,473,015,741,553,784,927,856,326,204,004,706,473,729,751,385,485,
220,066,816,879,226,856,238,937,777,111,596,752,451,050,129,099,178,471,170,
866,309,497,583,457,204,744,103,380,423,144,396,584,662,057,208,585,574,095,
748,752,432,185,093,152,602,172,328,265,580,020,387,951,395,755,662,061,050,
199,465,874,278,527,046,158,030,085,498,966,248,716,903,494,275,990,782,819,
388,360,348,348,343,748,927,458,213,851,131,916,747,815,775,484,228,311,845,
061,357,752,562,208,953,386,126,500,632,273,535,797,508,670,514,685,233,934,
474,122,089,598,010,123,522,857,086,214,392,695,403,346,817,786,569,580,299,
652,063,289,795,329,872,505,831,824,749,047,505,025,670,742,520,934,409,685,
191,515,280,880,708,692,333,000,007,341,271,265,778,003,996,745,197,493,296,
103,233,723,725,787,224,665,655,100,916,247,999,522,153,210,526,397,528,041,
326,125,699,678,697,750,304,367,280,024,308,709,544,333,679,566,766,575,843,
273,938,911,508,080,084,184,178,817,144,190,238,788,283,125,036,653,485,803,
725,717,294,096,833,724,451,308,976,393,860,736,500,118,026,994,769,891,478,
789,938,029,535,031,241,410,290,758,898,350,304,346,782,583,991,618,717,974,
806,368,889,538,089,476,684,092,168,450,149,566,127,303,221,394,553,813,268,
273,120,631,694,823,751,826,863,714,622,588,423,503,771,563,381,504,171,397,
366,919,523,464,532,933,941,854,902,521,404,332,467,820,106,858,590,668,875,
371,006,943,581,432,492,727,473,906,514,140,582,639,665,450,872,877,335,930,
331,290,211,707,086,358,373,830,645,144,071,468,568,407,691,461,029,244,989,
262,221,117,486,048,291,390,965,540,552,232,261,318,756,608,728,668,184,445,
379,653,078,008,495,312,660,471,088,908,893,605,974,533,627,023,319,950,439,
687,306,231,920,552,613,076,243,791,026,891,532,053,519,434,248,292,655,218,
080,554,450,434,871,221,414,194,490,805,595,567,352,244,481,397,002,791,251,
383,450,485,915,643,114,678,692,279,349,732,562,333,556,717,261,734,314,757,
477,802,553,691,128,554,448,456,593,453,165,199,984,117,124,115,400,365,463,
477,611,908,677,192,303,048,281,527,824,764,574,088,105,621,991,010,665,127,
312,466,062,836,964,630,337,015,220,151,663,948,325,271,153,252,249,478,707,
926,908,103,319,385,176,811,767,101,690,145,806,245,782,784,627,085,035,605,
274,232,257,821,349,865,146,557,053,871,277,286,935,626,612,498,841,730,565,
992,131,469,503,431,841,328,966,069,226,246,647,234,386,488,255,226,026,110,
308,085,179,329,397,075,295,936,988,316,078,553,525,392,446,514,143,141,389,
911,243,958,967,961,607,762,384,691,358,322,648,889,659,141,600,519,434,211,
445,656,473,482,533,764,908,970,129,624,400,932,891,837,260,876,132,755,328,
461,773,520,749,073,265,117,710,299,367,890,493,690,492,675,930,674,552,357,
199,251,890,266,334,457,290,852,916,008,001,221,571,507,384,647,371,008,129,
748,124,239,726,843,009,783,055,825,248,482,827,802,197,184,982,831,396,541,
860,978,958,413,988,618,341,005,690,630,556,830,313,601,522,944,102,660,598,
736,950,730,927,813,959,311,500,828,815,254,302,235,095,323,235,801,320,817,
938,624,651,499,102,681,203,834,809,522,280,747,272,187,704,239,477,898,340,
621,325,155,569,375,802,828,014,018,044,809,507,071,295,750,538,046,708,327,
059,597,252,726,518,705,043,033,978,985,352,577,761,522,083,398,181,291,359,
224,469,741,832,065,372,641,268,322,712,220,854,239,907,427,959,587,515,082,
301,743,699,171,322,694,755,179,954,972,529,414,745,353,043,389,748,664,370,
601,068,564,033,267,509,282,911,899,467,491,482,721,419,488,254,852,488,484,
308,952,117,810,525,141,559,363,032,776,398,136,570,401,281,210,627,489,893,
968,946,707,169,933,213,720,266,689,484,890,397,283,634,176,829,493,214,565,
246,894,501,177,919,556,735,188,567,504,480,017,300,645,043,000,958,618,658,
413,582,346,694,037,232,313,534,296,292,307,637,754,546,588,639,523,159,744,
549,366,390,275,685,141,611,774,258,393,123,912,716,113,240,687,992,081,039,
166,598,320,497,398,406,986,883,671,892,368,574,749,518,462,346,720,058,394,
680,182,461,993,687,851,920,342,892,240,692,154,541,888,791,410,497,914,663,
093,413,741,647,828,682,577,237,264,888,443,552,833,460,631,814,404,842,651,
458,531,513,100,437,952,622,761,987,537,579,407,685,414,235,174,176,298,600,
030,373,703,779,493,255,536,531,491,671,373,827,472,509,615,578,548,416,659,
363,219,797,109,580,149,402,837,561,049,485,697,397,543,570,146,580,814,087,
521,691,375,153,233,762,658,507,745,743,534,997,798,304,636,509,659,143,830,
968,009,299,398,088,235,352,477,428,104,285,261,388,630,347,495,224,392,462,
363,203,462,742,940,407,306,215,114,293,644,800,789,688,545,018,344,069,169,
062,931,466,768,761,344,419,762,968,324,695,423,233,244,644,186,958,451,891,
249,861,149,503,425,860,097,978,941,553,065,032,400,182,760,486,197,529,100,
172,474,241,188,252,017,359,907,314,889,786,697,060,474,301,530,480,292,137,
118,129,024,644,372,176,026,142,713,003,614,999,971,205,857,728,652,410,847,
269,122,591,057,414,495,736,989,621,112,706,155,361,170,145,343,165,913,991,
501,045,545,128,730,617,573,852,969,840,027,969,336,674,119,729,071,456,817,
114,051,032,231,597,910,380,536,251,507,253,056,009,893,074,147,657,602,679,
812,113,189,002,590,085,085,872,918,954,367,146,900,391,312,129,939,418,896,
408,659,741,136,560,424,145,185,644,829,775,704,763,983,423,741,930,540,033,
035,092,878,685,926,117,652,069,584,601,953,891,606,005,291,711,808,518,834,
586,039,997,804,972,577,613,739,666,978,616,378,586,483,728,138,295,813,539,
013,088,386,960,701,539,348,210,410,320,371,384,201,029,950,056,312,274,456,
739,924,261,470,510,046,936,116,192,147,062,573,479,770,663,176,928,093,058,
733,462,573,343,897,449,461,487,562,023,421,554,830,874,310,638,512,393,732,
487,351,650,412,609,581,720,796,048,608,584,876,009,565,097,325,441,366,613,
920,935,062,714,507,423,099,032,707,661,057,832,885,449,228,346,927,448,721,
410,140,065,051,317,732,383,757,184,399,480,087,310,979,838,780,433,791,176,
203,515,806,662,119,241,847,750,100,260,024,804,738,486,510,078,235,973,508,
336,502,987,292,910,200,986,219,965,481,261,118,575,435,013,273,798,240,512,
368,442,203,176,996,398,354,839,919,873,536,965,149,654,978,505,943,678,787,
202,934,515,353,758,426,886,567,416,103,596,861,049,444,092,855,176,033,884,
914,298,739,798,984,656,023,784,658,287,151,916,728,070,149,688,531,269,718,
265,825,719,135,369,125,221,108,713,762,110,085,880,662,615,970,353,325,103,
772,498,188,096,966,880,353,580,659,114,051,483,999,730,208,869,572,874,751,
751,095,679,425,687,577,523,863,324,393,466,148,343,801,239,538,073,828,454,
164,098,437,269,238,279,230,459,961,369,839,382,182,920,406,273,419,617,368,
864,566,058,532,847,100,655,299,974,773,200,176,579,017,281,468,694,075,278,
925,298,339,475,863,609,012,462,478,772,177,754,964,157,265,641,482,217,577,
255,548,296,833,380,485,982,620,792,042,251,926,446,167,566,568,501,634,178,
923,897,842,849,571,819,368,261,174,366,411,557,570,767,466,671,582,036,509,
703,761,433,830,928,352,373,443,092,836,451,105,845,650,804,672,632,870,689,
030,657,406,467,074,323,926,004,545,908,273,902,682,123,103,354,436,575,749,
325,433,142,402,645,818,634,562,955,427,049,464,221,709,020,798,732,265,082,
003,296,944,809,814,785,467,390,826,505,850,536,918,808,082,830,468,402,904,
555,240,597,815,016,688,384,399,497,479,330,148,397,619,989,480,158,233,712,
932,958,680,275,988,789,194,518,975,725,187,751,778,716,694,792,779,699,445,
438,935,653,538,787,557,813,448,453,328,122,533,642,583,713,140,513,574,679,
156,794,472,022,142,151,569,464,889,128,009,764,591,274,082,180,895,072,635,
868,140,013,553,964,364,206,888,393,893,762,271,572,737,118,844,203,286,946,
959,701,910,743,248,367,506,954,613,109,413,540,357,660,524,652,187,673,866,
685,843,866,939,990,571,217,164,288,367,402,933,671,118,673,117,595,973,869,
907,704,328,509,519,351,116,184,603,944,581,004,072,412,809,084,274,413,410,
509,325,282,241,903,666,923,655,418,764,805,913,810,132,629,182,878,640,809,
009,260,476,767,907,760,519,574,205,373,710,928,391,286,763,564,930,290,887,
527,265,739,487,267,695,045,017,543,530,922,363,677,927,546,334,562,284,587,
127,518,588,592,925,069,028,344,678,028,739,438,607,810,486,294,768,610,161,
501,175,702,882,968,628,770,771,222,322,994,326,766,288,865,074,065,976,388,
551,717,449,722,854,271,127,940,935,656,149,916,088,215,677,546,602,915,792,
191,996,365,044,402,362,714,989,754,415,990,554,052,516,956,970,249,667,882,
465,626,408,766,177,329,700,190,212,489,825,989,732,787,288,456,787,308,559,
894,833,566,905,060,133,858,679,803,363,327,358,149,746,802,040,818,315,055,
876,553,282,826,628,149,959,253,908,781,781,913,745,558,176,297,120,626,974,
071,286,505,705,631,686,391,595,992,913,832,416,447,722,813,235,274,038,648,
659,097,430,869,729,100,648,361,820,555,291,203,096,425,006,413,422,086,961,
605,854,348,454,377,582,060,775,799,101,554,572,519,834,539,341,588,065,447,
024,854,868,453,325,520,575,436,273,983,669,468,953,608,688,577,496,284,118,
017,278,947,414,332,965,136,063,975,056,481,363,348,808,095,099,298,046,500,
021,230,828,166,058,122,525,144,857,818,357,717,194,378,427,132,058,325,718,
892,425,759,633,224,825,895,830,533,511,427,825,876,001,523,098,611,077,514,
378,670,318,959,986,802,754,865,124,265,868,174,537,930,657,074,632,764,457,
979,600,152,804,830,183,213,780,249,667,050,488,622,644,493,499,540,316,482,
310,086,853,818,351,780,226,931,067,323,953,806,261,758,803,457,946,136,408,
347,625,688,918,055,365,026,150,751,576,267,737,425,087,937,497,910,971,946,
884,082,784,947,744,787,641,176,335,425,825,511,540,568,218,995,036,842,621,
245,692,122,316,085,762,144,589,205,304,376,803,552,802,890,210,526,231,734,
567,240,807,850,310,505,039,498,885,461,946,965,397,645,571,466,192,876,675,
395,814,226,144,961,340,560,679,219,396,989,819,818,102,308,105,767,148,358,
981,122,367,215,026,387,114,045,588,197,977,361,107,813,218,826,482,317,189,
414,443,612,628,611,567,329,784,617,460,842,441,750,886,535,586,216,683,942,
578,907,012,091,573,250,179,447,898,974,211,316,028,334,033,946,417,503,941,
044,060,937,904,810,256,543,490,292,462,473,630,834,281,224,998,784,108,100,
049,125,858,553,825,745,225,722,294,005,395,712,272,585,938,674,307,889,363,
107,822,573,408,946,711,121,572,979,239,514,625,706,370,451,968,553,014,759,
901,295,389,141,827,165,233,570,586,318,456,201,592,347,690,879,890,187,090,
415,404,356,034,738,812,784,502,143,294,091,066,826,205,364,896,860,739,787,
830,518,871,479,459,583,331,944,760,986,928,682,349,770,264,578,561,418,384,
265,681,782,945,163,586,997,673,000,527,554,429,451,529,713,474,076,748,733,
534,983,541,782,490,359,199,370,882,639,850,410,296,335,736,328,155,870,633,
521,723,829,904,541,021,176,522,107,863,013,875,088,707,197,916,603,677,070,
317,869,522,218,656,963,784,217,637,273,562,844,202,029,603,772,468,572,678,
604,491,922,170,109,313,615,875,156,378,465,626,342,087,572,647,011,865,630,
951,138,467,294,656,621,058,722,813,079,726,165,561,367,856,738,609,765,884,
693,663,332,491,378,094,351,769,806,535,756,585,692,076,482,713,876,335,179,
183,743,594,828,208,182,383,893,088,301,740,753,661,066,676,967,514,211,021,
938,890,206,202,357,358,557,596,361,298,781,842,356,549,292,576,581,158,663,
235,390,258,314,285,878,906,654,963,836,264,353,280,774,490,689,417,225,227,
963,821,844,471,548,946,277,745,622,237,623,234,661,336,940,706,295,226,495,
056,602,000,520,939,220,213,285,572,830,298,615,095,110,459,132,681,373,521,
434,828,142,023,396,813,305,644,003,718,011,371,384,777,323,290,540,788,784,
595,429,475,569,052,115,144,851,832,669,272,091,224,531,665,264,799,598,620,
078,154,253,036,614,253,160,292,363,059,710,821,143,748,375,742,290,924,107,
935,903,262,668,839,071,042,386,984,739,715,542,926,635,635,438,094,426,893,
468,007,106,838,164,456,417,238,218,504,463,137,730,273,833,490,100,691,960,
514,718,436,782,502,961,533,518,076,281,377,889,219,902,055,408,130,008,270,
455,599,421,337,217,659,390,879,555,306,767,778,941,590,553,022,222,541,932,
290,570,189,358,790,608,600,381,798,056,890,598,292,918,127,140,141,390,422,
462,644,318,259,866,313,473,988,016,190,881,501,247,586,374,585,558,655,750,
718,671,083,771,952,597,784,377,967,502,576,608,700,415,664,944,339,411,796,
313,817,934,917,611,990,771,363,366,924,710,897,929,824,057,032,554,847,469,
982,967,900,228,068,460,289,663,478,546,022,933,149,660,539,174,182,992,146,
964,811,530,769,502,908,802,370,023,437,621,385,835,884,621,339,267,779,929,
009,994,091,293,746,463,173,997,991,461,864,190,254,105,917,176,207,012,146,
915,522,230,804,673,240,469,580,129,066,115,629,394,815,138,720,593,768,980,
154,743,015,993,841,115,400,327,042,976,417,351,168,724,976,676,455,918,540,
999,053,060,910,572,983,860,451,749,080,838,821,029,745,438,122,898,781,185,
026,432,944,953,453,680,157,740,504,590,105,858,367,478,904,248,158,751,442,
505,017,910,466,740,613,454,322,138,031,814,601,426,951,954,822,554,807,226,
746,887,821,081,965,844,060,087,410,097,448,361,226,539,086,822,195,773,084,
877,158,056,750,446,952,914,966,158,992,164,121,208,458,390,026,728,231,790,
656,494,879,512,872,822,993,973,150,597,786,250,243,720,400,316,772,722,280,
966,706,578,103,279,588,076,950,535,244,155,175,973,564,343,680,164,078,019,
006,203,056,464,278,087,338,607,172,506,132,145,872,026,331,612,919,385,937,
272,317,003,282,682,901,795,996,832,023,555,332,257,540,406,492,348,310,734,
403,033,524,592,821,681,740,719,960,832,457,826,765,056,020,599,121,900,923,
492,323,645,172,052,849,930,726,842,753,481,805,309,152,228,226,593,925,032,
135,889,551,067,939,868,842,272,671,590,735,936,160,570,840,190,120,016,909,
875,141,488,534,915,096,147,753,730,124,948,411,244,035,034,520,533,792,609,
727,384,470,712,193,203,204,135,318,338,519,176,399,178,641,282,855,342,401,
546,263,706,066,609,870,591,835,480,240,228,258,166,436,497,640,520,797,728,
973,100,804,536,467,565,148,882,926,242,896,038,065,578,325,761,912,069,678,
215,190,417,761,280,176,280,413,438,058,297,742,991,140,650,547,723,567,897,
754,449,813,502,986,008,886,556,040,577,239,119,912,201,661,321,918,428,353,
407,867,026,216,668,952,883,555,305,152,280,786,405,903,159,931,006,276,341,
524,242,274,996,329,276,815,815,039,459,491,762,671,996,275,549,309,096,961,
297,435,422,710,866,974,469,268,449,735,369,547,891,676,890,399,831,794,540,
399,470,716,282,496,667,562,485,537,741,153,655,075,112,565,132,827,063,347,
426,212,484,163,891,411,828,908,294,562,621,967,853,838,342,574,436,379,952,
858,017,932,914,172,705,984,647,211,020,976,835,398,463,177,313,142,258,769,
183,156,414,880,451,773,678,205,497,133,909,702,232,627,408,968,402,902,121,
295,322,671,831,218,166,727,427,755,321,775,845,831,842,950,264,702,949,193,
495,452,606,936,306,599,035,170,756,165,433,763,414,317,052,265,269,873,372,
294,045,911,176,472,184,573,973,741,205,792,432,234,967,844,613,235,676,427,
467,200,385,353,501,680,312,332,000,984,302,429,397,042,714,883,377,617,392,
468,947,892,082,995,918,440,773,471,790,159,361,424,065,529,741,045,941,431,
888,703,704,397,626,956,397,813,069,029,987,718,431,088,206,149,081,234,742,
084,669,863,500,064,325,742,433,081,810,358,415,050,536,067,718,733,103,390,
952,441,024,682,360,771,070,708,499,518,991,671,456,309,580,388,049,760,420,
601,142,017,151,615,566,822,927,011,529,637,087,367,404,536,933,304,043,225,
340,205,408,116,298,662,996,477,117,244,380,634,126,802,970,106,426,463,385,
723,680,109,545,805,881,933,511,441,949,392,236,472,849,037,266,861,721,134,
814,890,515,886,693,816,527,560,482,837,125,231,304,943,638,697,819,024,061,
622,230,623,810,782,646,147,686,017,169,267,455,501,085,957,039,974,704,037,
904,712,443,708,688,684,042,992,984,582,679,622,105,720,730,065,079,178,185,
768,971,889,291,406,254,410,880,157,385,677,499,011,152,012,125,745,888,485,
929,368,437,962,977,762,423,216,477,711,939,256,571,573,716,163,118,836,217,
033,698,619,666,886,025,106,065,329,583,597,337,006,389,792,559,318,063,166,
859,294,954,554,878,503,468,470,891,380,345,816,997,108,440,903,293,280,299,
045,738,693,813,826,502,264,608,917,692,225,247,959,800,854,350,914,186,503,
277,670,484,858,021,180,959,992,997,202,781,660,520,990,143,518,984,710,963,
975,217,395,601,328,318,350,873,378,161,080,222,536,893,696,636,034,657,074,
106,448,816,457,233,944,053,791,139,546,130,084,841,202,385,555,686,479,876,
959,782,887,099,230,176,918,765,231,754,860,868,582,078,536,475,878,334,590,
346,978,811,895,441,670,067,404,991,965,760,063,358,569,814,692,608,586,659,
209,924,940,833,129,764,557,381,925,947,102,399,472,468,488,715,589,620,180,
667,552,909,653,813,608,865,423,855,012,309,271,765,015,679,389,872,885,548,
811,394,467,241,447,561,676,335,069,800,827,562,999,643,278,436,014,635,997,
089,322,705,608,652,501,160,295,218,735,753,144,369,016,229,041,825,350,901,
246,603,863,732,150,965,202,317,877,061,668,193,407,748,459,585,665,589,871,
039,386,112,236,444,274,246,720,097,458,160,938,266,276,645,542,267,609,722,
670,007,963,012,395,198,705,599,250,623,415,798,872,594,789,169,111,315,649,
566,261,387,723,405,335,070,124,850,206,739,424,145,954,662,135,336,927,676,
573,645,055,745,054,880,185,638,256,949,563,783,994,314,053,634,702,371,653,
965,848,386,754,303,359,179,499,029,061,927,174,340,008,523,408,482,046,627,
333,474,690,768,432,913,448,126,870,950,162,052,785,830,504,372,805,390,071,
631,714,821,781,915,770,609,146,905,183,261,043,347,539,402,873,414,297,334,
351,134,952,938,006,534,714,735,166,315,009,758,043,980,062,350,541,081,859,
283,010,723,917,619,128,370,243,910,113,687,351,051,140,721,002,674,588,153,
924,126,043,904,369,120,703,332,933,883,691,136,597,816,118,297,560,860,444,
705,370,838,843,192,820,348,338,092,783,705,203,301,807,652,419,391,439,544,
011,299,463,211,548,059,833,909,974,335,155,209,559,645,848,342,628,394,703,
378,186,410,789,548,600,722,362,243,042,508,981,221,121,227,690,972,079,164,
474,892,909,450,244,018,765,811,943,764,167,428,484,604,008,182,766,164,699,
421,838,017,781,661,442,319,969,355,417,045,494,234,685,916,175,161,591,145,
932,577,086,756,669,931,579,205,377,980,975,178,035,961,980,706,362,073,633,
444,690,315,723,172,409,473,272,714,786,343,588,102,678,279,597,802,021,822,
271,384,794,397,836,854,454,406,485,684,922,598,715,704,706,432,669,740,717,
623,995,403,672,529,188,517,006,295,184,436,966,215,749,056,375,287,042,056,
771,630,672,298,081,238,088,698,707,263,156,159,625,168,597,584,284,309,342,
175,212,807,018,821,886,549,978,701,729,872,055,030,094,084,574,836,911,943,
890,084,414,826,993,262,619,153,940,766,554,449,720,307,880,020,011,255,710,
258,783,232,137,090,550,173,863,533,012,332,838,053,001,707,618,632,132,546,
674,296,827,650,203,947,610,893,844,677,603,739,402,884,149,406,506,812,399,
300,314,672,661,241,773,335,768,172,746,428,545,550,553,500,816,243,682,776,
402,889,073,360,965,416,108,070,257,448,269,937,488,532,849,054,594,829,897,
484,229,212,402,941,712,925,195,868,346,034,369,253,752,729,488,209,419,507,
030,827,510,057,861,562,142,931,121,899,945,031,052,304,863,296,679,367,710,
749,451,172,528,412,882,308,382,493,625,921,634,124,070,649,818,863,001,195,
198,702,216,141,143,026,189,365,552,903,372,856,455,357,470,089,972,598,258,
786,322,571,181,935,592,047,294,563,426,367,296,040,702,086,789,440,985,396,
974,441,990,309,813,458,857,186,213,115,056,217,993,429,113,069,528,471,601,
211,398,263,130,476,583,764,335,106,247,378,140,037,867,101,591,672,855,075,
572,749,537,019,750,298,077,390,545,577,269,279,000,415,452,480,418,462,582,
262,225,485,544,399,995,637,614,569,319,288,911,758,382,618,416,929,674,366,
059,434,490,926,490,082,636,584,733,102,881,558,752,277,531,456,967,616,337,
272,240,616,474,414,000,216,855,193,295,689,776,831,959,109,265,062,065,509,
654,107,222,638,720,270,317,324,920,722,707,684,159,310,464,538,143,562,221,
332,241,143,859,582,849,709,580,897,913,112,194,325,324,785,469,973,032,043,
384,147,848,052,489,761,934,093,501,089,770,888,827,422,493,152,245,576,208,
315,646,251,582,762,150,969,933,937,273,128,462,303,723,808,077,107,048,783,
202,906,065,380,421,576,288,562,618,523,542,559,374,339,829,219,866,478,770,
075,319,543,356,842,666,391,464,659,820,931,795,660,480,577,215,120,611,353,
725,376,857,719,151,567,703,853,561,221,315,052,795,278,919,002,009,581,607,
941,644,434,199,296,728,195,990,798,425,229,947,203,506,132,192,673,814,674,
995,735,881,462,764,604,232,356,309,294,026,368,567,233,098,130,577,165,120,
967,920,679,473,623,323,707,919,559,216,701,702,049,210,688,053,559,480,041,
733,480,416,195,897,523,030,021,444,631,676,479,932,275,262,238,570,246,185,
764,989,354,092,845,105,947,594,341,135,585,237,059,961,830,256,568,343,873,
442,226,075,803,270,840,098,492,782,773,162,343,452,050,253,907,155,938,527,
694,591,443,183,311,537,197,908,838,974,428,471,820,121,703,487,598,673,615,
214,441,652,202,653,445,508,793,762,361,146,171,373,884,009,000,118,570,002,
368,590,448,258,332,514,808,794,994,667,633,868,220,337,355,379,682,173,457,
949,006,735,546,438,199,867,288,896,258,654,679,397,179,925,866,520,307,925,
694,817,820,581,781,030,954,192,759,692,814,989,737,670,984,935,184,235,915,
033,918,555,979,533,708,200,543,093,379,659,850,237,787,638,663,163,918,127,
259,128,343,217,886,798,543,450,332,231,566,319,365,910,344,762,219,762,328,
062,715,301,423,736,270,770,773,930,226,627,292,216,929,439,480,563,429,242,
324,177,848,077,331,369,692,644,899,207,438,703,751,225,810,367,605,697,342,
512,553,927,441,287,155,352,947,494,217,490,198,754,704,183,477,171,003,926,
091,256,254,018,631,284,333,471,342,675,713,422,329,666,847,040,807,412,391,
454,087,728,268,300,582,116,805,194,617,175,844,575,760,915,480,017,908,124,
569,283,768,581,694,076,553,238,759,881,768,692,985,722,942,136,897,226,032,
854,008,948,200,601,066,936,411,872,733,549,963,096,945,510,724,035,360,612,
934,464,190,089,479,174,033,952,519,023,580,085,216,631,315,400,146,680,698,
161,328,646,718,329,961,690,123,482,930,323,796,313,816,704,320,121,482,880,
324,461,865,726,199,359,324,445,507,619,948,433,911,754,164,924,148,307,286,
713,244,833,147,653,692,290,489,335,984,074,794,832,263,490,989,385,360,566,
470,896,769,369,576,217,276,444,272,936,764,597,536,178,406,814,362,783,740,
552,458,993,461,877,933,966,858,131,289,145,523,868,578,336,254,964,766,251,
305,321,456,505,712,295,606,633,824,373,418,713,164,253,935,448,889,127,699,
153,855,221,477,882,522,258,516,057,870,710,422,823,523,482,951,102,393,757,
779,704,384,077,644,819,715,710,260,989,260,688,687,865,033,246,970,370,101,
046,400,629,170,453,681,285,891,355,048,379,491,390,556,407,110,491,879,916,
073,716,848,999,695,997,681,251,259,940,894,796,875,376,193,909,074,459,893,
457,098,897,652,314,868,172,662,798,884,154,594,757,538,878,599,070,206,054,
480,719,344,172,400,847,354,755,051,700,692,154,195,501,300,940,708,891,045,
001,037,632,771,716,451,151,729,043,924,502,000,520,289,676,352,176,349,780,
610,508,934,738,693,454,964,689,304,620,568,798,613,256,480,343,951,360,686,
242,618,288,159,113,219,816,405,782,850,519,724,934,608,517,139,772,941,777,
116,823,336,727,535,751,658,326,711,444,026,894,185,776,510,836,667,666,668,
697,408,562,532,381,988,987,935,038,891,295,964,842,986,503,855,116,978,467,
497,542,331,337,162,607,299,252,861,280,798,440,276,035,646,251,249,579,736,
228,478,144,339,425,490,596,756,376,516,103,267,797,469,500,517,439,540,882,
414,680,691,049,261,462,605,119,271,356,555,214,533,578,729,794,561,811,801,
694,474,493,474,718,338,175,548,825,976,947,353,713,731,522,928,956,149,531,
443,074,426,709,379,310,110,999,017,893,296,955,325,095,170,200,132,341,235,
100,059,610,145,793,313,407,997,691,616,977,848,760,118,612,103,252,191,710,
195,209,107,131,966,558,218,785,062,353,690,505,162,153,803,425,890,979,625,
728,351,204,227,543,278,626,221,957,026,882,799,069,041,522,599,437,522,101,
303,232,548,405,055,458,023,825,151,859,703,891,869,074,953,072,447,247,790,
160,777,772,717,104,253,436,018,155,663,273,771,194,418,881,895,974,261,798,
501,850,222,900,588,926,552,027,021,763,809,843,111,228,372,940,336,729,323,
655,637,423,193,560,997,126,293,099,606,774,630,536,290,261,209,377,183,906,
592,142,480,738,263,311,723,151,771,703,803,363,310,589,971,723,567,523,159,
393,283,668,878,911,440,106,398,675,612,788,856,312,472,043,985,536,181,280,
903,095,522,867,586,068,215,769,289,470,767,824,759,636,606,340,446,178,272,
464,459,862,596,808,125,290,793,501,283,626,360,636,168,400,786,703,264,531,
182,643,971,341,048,228,688,099,273,839,570,680,342,609,074,565,090,022,815,
480,631,559,914,495,757,909,446,259,140,666,532,995,334,052,662,466,354,769,
290,632,579,591,608,166,713,641,844,851,166,431,317,206,768,749,975,465,365,
816,072,160,115,239,254,984,294,196,766,614,432,770,064,481,667,459,029,027,
584,389,618,715,753,230,098,676,572,967,845,745,407,645,144,775,329,603,049,
027,602,135,416,068,435,632,312,422,637,540,323,187,365,206,281,450,875,436,
513,886,708,373,860,094,590,393,528,267,137,713,167,462,739,947,076,982,175,
422,046,252,143,308,821,124,422,816,211,891,859,577,439,821,049,760,164,585,
227,003,359,021,477,129,739,883,098,963,945,168,075,851,592,923,155,921,526,
962,496,338,011,108,732,227,544,163,188,096,619,647,039,765,545,062,375,568,
810,270,443,928,171,058,471,159,568,587,678,037,304,626,124,392,765,665,311,
797,820,921,473,441,403,378,711,963,439,917,839,055,982,496,663,827,380,465,
185,641,508,732,290,200,737,801,556,154,016,478,580,585,602,865,837,640,347,
118,431,185,424,380,330,427,532,035,144,884,506,519,459,298,354,544,853,846,
690,331,931,782,170,944,511,987,014,394,808,941,469,442,835,662,737,044,938,
570,508,285,524,867,993,897,633,609,746,067,468,596,603,915,242,879,972,238,
776,392,836,405,889,357,849,051,707,821,823,585,511,529,557,937,234,088,752,
450,579,362,101,740,003,653,704,196,791,885,221,574,587,533,367,444,030,969,
046,640,116,007,068,406,829,228,652,598,649,284,303,060,562,506,440,722,946,
516,520,060,588,668,624,095,183,161,237,523,464,594,866,926,891,077,025,400,
500,130,470,655,652,031,187,844,397,427,063,750,676,817,069,213,441,861,721,
410,853,456,607,707,462,180,715,073,684,652,736,510,466,212,335,278,458,272,
071,600,987,706,657,076,687,904,588,251,574,759,371,862,241,808,936,569,677,
489,675,479,321,463,041,193,670,838,549,519,328,254,066,030,931,807,030,864,
218,537,856,749,143,037,737,847,149,412,957,575,013,661,080,670,026,818,334,
648,170,936,000,315,025,333,723,499,446,008,250,923,918,889,847,594,291,515,
204,047,335,198,666,884,816,393,477,795,312,976,958,676,123,013,864,148,330,
476,458,427,286,340,498,906,328,506,595,736,446,091,855,044,181,142,513,362,
814,151,017,984,570,988,143,834,576,856,619,996,439,919,900,863,021,217,033,
245,118,165,785,881,359,558,566,914,711,323,291,443,557,457,901,418,597,528,
655,902,899,573,738,745,525,788,373,274,334,683,741,672,000,864,711,896,661,
166,436,910,473,862,058,844,664,420,441,781,037,205,102,098,291,968,624,486,
413,864,430,694,110,797,538,765,412,032,495,866,452,309,743,005,558,044,174,
328,749,106,906,372,090,583,691,450,196,590,436,714,009,634,389,909,403,643,
446,523,981,635,807,105,951,710,924,753,299,072,729,246,689,047,241,997,748,
423,206,667,962,556,244,437,415,023,955,587,676,573,988,945,668,681,667,870,
698,771,829,996,768,367,576,582,696,258,556,337,060,559,408,445,957,337,376,
396,666,953,469,486,929,002,378,623,464,411,397,369,875,110,278,275,679,733,
722,452,919,672,739,442,665,309,776,961,406,294,319,308,847,168,664,129,250,
507,509,377,784,447,830,734,001,580,864,067,099,968,185,056,680,839,158,758,
991,579,179,971,079,492,117,500,972,704,265,893,578,198,429,849,803,998,757,
646,646,420,042,959,954,913,582,945,803,170,072,083,344,541,333,659,592,576,
582,214,989,031,680,275,908,822,577,717,136,490,687,398,594,663,710,890,667,
643,976,887,315,563,461,459,595,660,653,602,796,074,130,377,767,524,982,439,
413,371,449,822,435,257,723,462,542,756,986,976,830,235,817,901,423,332,453,
418,819,962,156,058,141,466,311,838,788,330,898,879,293,861,752,771,534,677,
205,791,439,545,265,426,231,507,343,695,635,098,727,849,736,491,388,647,349,
747,475,036,120,622,829,639,806,176,604,823,857,876,807,204,052,625,551,055,
781,629,004,495,679,068,678,683,132,270,400,320,218,700,800,942,308,943,199,
672,589,337,577,310,960,682,452,316,314,450,065,500,172,503,975,919,512,862,
952,412,560,892,108,010,115,013,840,694,231,043,985,267,352,909,810,084,783,
161,829,230,274,857,895,606,846,198,293,696,841,599,159,254,507,063,694,331,
422,738,841,055,986,935,077,049,680,913,209,652,916,968,412,565,755,003,676,
376,948,256,957,769,247,791,691,746,612,978,364,994,849,913,650,362,823,048,
985,601,967,718,307,101,378,564,734,086,421,040,244,903,315,379,871,953,073,
974,245,221,536,759,156,249,400,818,157,656,653,559,813,727,222,085,992,905,
822,894,373,089,292,578,652,564,261,734,976,934,937,564,973,599,194,622,230,
936,090,659,002,507,960,084,631,304,188,915,680,040,751,824,127,414,489,128,
465,839,908,455,356,852,114,582,856,444,668,897,969,472,049,527,893,624,258,
101,260,082,166,248,471,821,199,816,639,427,644,397,004,069,633,361,488,175,
155,518,221,366,723,094,204,983,398,060,734,963,386,857,691,525,515,299,874,
590,069,351,466,757,460,498,340,381,129,963,205,497,976,548,298,357,364,266,
014,960,910,338,673,421,539,259,576,963,329,474,362,994,567,562,623,303,738,
910,268,799,883,563,525,761,465,816,858,971,750,746,884,633,378,622,768,678,
722,299,667,379,438,506,827,761,871,171,098,120,650,826,656,012,710,527,571,
978,746,332,199,380,818,928,847,971,995,308,852,282,986,660,462,030,250,329,
332,675,966,957,258,589,809,064,359,928,425,212,392,081,739,089,628,177,564,
211,280,659,369,777,067,039,288,269,365,864,765,510,032,396,476,649,274,247,
736,394,967,931,434,165,282,866,512,032,080,296,915,220,073,658,311,832,229,
309,328,353,349,832,720,528,903,435,309,688,548,100,846,004,756,783,801,822,
203,054,730,863,854,692,537,990,781,204,177,082,605,543,573,279,232,446,888,
466,520,143,698,568,780,081,407,097,693,648,493,561,449,804,978,478,715,514,
115,453,003,467,790,158,558,357,312,518,777,785,689,036,513,687,271,379,188,
523,448,864,671,646,662,148,078,724,495,286,723,511,703,437,306,942,049,380,
332,491,239,682,297,010,100,934,782,105,948,404,778,322,809,836,656,464,119,
413,904,112,294,754,318,673,619,487,634,077,990,888,009,536,652,713,464,326,
995,719,290,813,689,683,718,965,671,671,559,691,652,610,399,529,720,567,431,
139,117,534,507,778,262,369,406,825,122,484,692,305,987,820,287,553,449,634,
548,551,246,211,160,535,665,344,847,736,786,393,274,686,063,979,526,166,609,
900,430,438,297,500,070,608,904,824,395,104,325,728,086,401,005,268,764,532,
837,420,190,436,522,249,178,571,026,308,628,604,169,691,722,136,954,173,711,
966,131,364,073,249,606,101,024,579,406,468,539,587,763,076,819,824,603,102,
878,965,778,885,720,171,230,446,595,362,176,474,888,093,839,984,471,345,198,
123,012,488,371,172,624,665,401,936,155,048,412,577,548,714,165,387,214,217,
340,700,951,403,629,775,557,147,191,031,626,568,946,068,631,927,274,173,887,
564,774,700,974,412,656,213,304,072,414,384,283,317,094,215,391,572,152,430,
089,927,676,851,766,877,841,446,443,659,005,794,609,553,366,172,776,229,351,
410,546,180,366,798,288,916,406,326,722,715,666,278,793,107,661,918,372,270,
673,092,878,141,442,716,225,816,791,703,306,671,813,762,326,548,480,293,127,
683,008,274,234,115,330,208,630,446,740,914,998,671,268,736,795,086,829,045,
586,387,724,249,454,877,627,884,098,041,225,183,694,522,882,322,298,034,943,
814,434,039,107,239,482,454,917,577,380,427,805,546,911,249,547,595,011,433,
182,018,991,658,613,524,556,914,899,001,344,057,803,878,211,002,735,418,227,
843,059,784,796,444,062,592,079,979,871,472,692,748,695,797,512,604,893,957,
866,642,783,960,248,187,210,891,740,621,609,503,706,775,842,672,047,209,908,
571,772,054,309,191,524,246,418,677,442,915,591,818,430,862,408,666,513,464,
395,376,346,736,844,300,478,514,168,167,779,574,225,079,377,937,298,843,185,
718,290,737,532,405,471,762,155,104,719,064,357,779,855,573,296,343,630,217,
219,795,284,987,546,311,799,151,602,578,861,201,928,724,735,995,888,423,431,
378,860,421,051,391,025,581,207,758,429,715,606,975,962,875,989,046,898,846,
153,417,211,628,105,138,603,245,723,829,313,316,461,998,901,032,723,470,421,
676,754,775,655,952,452,677,926,883,531,128,864,292,509,298,560,538,030,378,
225,079,407,148,422,201,859,357,617,748,880,738,757,046,850,394,403,747,995,
613,212,051,884,559,573,460,957,895,179,394,950,105,224,431,910,261,023,992,
822,194,692,857,512,872,926,271,350,636,251,189,770,224,506,233,406,178,167,
914,751,627,312,277,018,994,661,915,538,664,341,638,856,098,047,685,695,089,
229,070,115,940,960,129,989,087,504,605,627,461,737,539,210,586,640,634,666,
679,352,449,138,237,603,711,236,783,764,341,370,155,396,598,511,087,613,184,
598,759,906,063,555,781,771,680,485,727,136,264,244,903,616,897,146,068,410,
842,219,175,028,816,981,182,800,650,927,392,845,169,617,110,137,278,156,788,
197,024,584,068,829,189,201,369,915,546,585,240,448,244,983,880,216,967,267,
376,581,158,940,941,747,123,094,006,091,470,651,828,516,212,563,503,017,305,
452,394,849,527,551,507,139,390,718,507,433,995,746,997,211,746,059,834,135,
060,639,154,357,847,948,936,572,171,854,544,052,908,483,745,558,425,922,020,
970,463,377,117,414,484,059,827,046,798,792,497,778,330,917,816,771,341,168,
192,260,418,804,490,935,316,568,024,847,653,953,567,399,534,986,583,181,684,
047,589,088,309,450,962,100,592,585,509,278,789,443,668,637,238,694,868,707,
499,926,203,586,987,289,232,212,208,445,780,627,256,302,693,044,360,300,620,
216,864,083,623,595,346,591,051,162,478,737,320,657,024,595,617,211,475,355,
172,460,882,597,566,157,973,245,370,881,428,092,959,361,514,813,052,161,702,
829,808,702,658,953,650,475,244,059,750,659,834,214,638,756,345,780,009,927,
737,079,052,370,996,734,879,680,074,109,740,973,663,152,773,818,416,968,947,
817,465,992,198,900,349,477,266,330,984,507,869,535,572,101,893,806,132,205,
318,687,331,100,022,958,677,440,821,117,846,129,362,635,771,516,369,808,522,
146,447,027,394,208,286,982,205,854,278,762,578,587,636,602,702,086,885,502,
708,070,857,485,349,752,463,551,994,706,752,556,866,236,426,373,409,553,665,
825,507,474,767,928,526,308,622,940,640,088,282,043,602,012,037,260,278,464,
095,169,839,527,798,930,361,423,837,525,302,522,681,110,028,466,264,373,015,
943,190,159,486,675,668,121,349,560,199,760,628,396,617,560,203,136,297,044,
000,223,336,101,056,127,419,771,109,133,117,991,621,812,253,296,070,627,079,
463,298,044,382,137,743,169,848,170,299,538,718,878,028,714,027,531,668,121,
330,729,510,728,679,175,486,728,497,742,326,084,078,588,857,011,649,866,215,
703,271,305,465,905,110,544,006,920,970,140,290,841,804,711,399,372,799,539,
026,149,541,580,119,110,849,414,915,430,305,771,012,452,903,002,988,088,186,
382,374,623,342,091,196,496,140,075,822,311,843,727,558,384,364,528,359,073,
297,469,317,062,133,425,214,339,026,236,936,813,071,346,314,160,884,670,522,
613,349,467,242,057,969,691,753,987,943,918,624,457,806,328,800,885,456,797,
865,779,004,343,665,778,105,460,126,404,776,668,765,640,720,404,669,936,878,
183,540,409,737,702,895,676,665,655,579,433,544,428,058,457,070,034,290,402,
734,660,246,929,516,054,100,311,876,719,776,328,235,235,143,094,640,492,909,
911,602,237,570,443,733,206,607,723,980,431,934,303,805,391,692,302,932,592,
793,283,525,208,956,675,016,694,032,891,004,550,206,008,384,923,006,308,775,
064,426,592,013,156,409,452,508,213,440,941,666,185,824,300,204,025,794,390,
083,759,377,397,045,103,995,245,377,530,076,697,336,395,635,545,740,930,547,
266,384,441,995,958,621,806,551,795,755,821,559,113,801,539,308,524,368,754,
678,663,377,414,284,721,871,034,789,628,719,240,718,563,325,606,976,670,158,
100,799,219,902,511,296,259,357,446,754,608,145,931,744,573,289,529,335,439,
195,852,263,639,830,048,334,387,556,696,639,186,210,709,391,102,095,563,046,
508,636,603,964,506,234,711,570,867,442,929,060,322,697,822,676,643,000,889,
317,523,935,681,138,316,453,186,138,522,497,835,930,095,239,983,941,616,943,
943,763,192,624,337,191,676,573,141,426,431,571,998,667,028,304,706,589,026,
929,849,869,941,115,072,125,072,190,437,496,934,917,829,626,886,975,533,675,
698,267,555,737,943,734,330,018,564,799,496,644,190,056,169,181,541,570,842,
557,029,210,698,323,681,770,391,251,931,064,876,384,902,977,290,056,202,586,
361,428,787,438,260,004,224,893,789,590,108,272,143,093,370,892,773,502,473,
218,823,040,453,192,747,493,350,572,909,039,620,572,449,398,643,732,762,167,
332,196,087,763,504,566,220,792,700,109,840,868,071,721,392,257,585,761,782,
091,197,352,338,458,692,787,264,944,022,702,308,828,185,493,672,073,453,551,
298,003,109,823,945,040,595,303,634,820,390,082,112,720,418,906,086,654,797,
846,809,620,190,385,701,503,619,568,003,034,174,476,886,096,598,337,954,442,
186,745,048,056,643,437,792,592,671,488,887,670,331,765,732,404,410,337,964,
196,861,457,009,592,720,431,406,782,934,267,709,128,263,195,592,012,745,252,
882,012,449,826,923,329,779,123,047,927,173,248,103,850,751,997,340,615,394,
524,571,189,322,529,665,413,936,366,485,732,081,352,692,208,732,708,754,561,
458,032,370,765,353,504,713,107,737,972,218,713,179,439,498,824,573,634,857,
787,831,396,271,898,319,558,880,116,507,125,714,322,803,765,057,504,418,653,
316,549,125,171,920,937,413,281,220,289,583,435,286,662,533,617,134,197,661,
505,213,981,934,748,811,372,163,933,255,295,375,039,912,941,195,454,827,528,
080,289,711,103,926,639,481,223,104,573,989,694,241,134,478,799,829,823,348,
480,553,601,664,433,480,766,854,999,211,424,600,642,455,981,769,545,015,471,
332,953,051,147,071,325,363,806,633,970,029,990,231,540,836,859,070,934,670,
345,401,574,881,399,282,938,938,405,169,755,227,404,667,085,988,451,088,692,
693,207,744,779,114,192,734,615,827,716,067,165,605,668,450,537,527,393,125,
973,396,364,925,535,099,626,557,855,047,254,729,675,059,421,535,904,760,285,
043,383,722,619,572,592,416,583,100,374,099,548,995,164,320,219,177,472,032,
028,136,021,010,423,352,512,067,550,831,434,770,056,672,897,276,296,984,443,
702,513,033,295,782,933,753,946,464,252,898,601,592,249,094,446,401,077,062,
425,603,622,185,016,786,863,036,850,224,414,472,131,585,856,039,981,427,515,
195,822,103,926,373,377,705,701,911,810,461,838,578,270,737,041,846,870,232,
974,604,197,742,494,066,436,095,013,558,827,642,855,995,033,360,252,981,996,
463,153,814,440,628,989,433,346,319,637,571,861,701,005,917,433,189,160,173,
768,878,216,898,619,530,215,408,720,150,846,713,058,027,410,480,154,109,465,
052,980,684,716,862,868,732,557,770,793,313,136,373,088,168,828,565,034,556,
148,107,468,329,506,429,145,793,559,583,328,350,538,167,955,666,681,657,726,
646,723,460,477,704,586,422,655,034,383,288,604,426,624,290,256,682,038,174,
397,902,707,956,484,829,042,991,403,254,332,299,726,881,133,869,356,051,042,
490,494,734,461,851,745,088,776,005,834,443,115,891,937,626,518,318,394,246,
241,174,407,135,822,295,511,864,065,817,922,993,802,980,064,453,187,538,749,
192,245,658,549,938,257,546,943,074,951,843,505,034,603,130,130,293,866,587,
960,303,802,887,719,193,344,209,600,913,044,493,875,472,497,739,901,203,366,
338,955,933,367,742,566,622,751,100,885,387,998,782,828,896,685,770,993,501,
580,138,220,377,341,860,232,295,119,090,882,579,536,950,404,476,810,950,591,
913,825,853,354,281,158,895,241,163,114,661,997,263,378,963,944,339,182,464,
542,522,051,825,250,086,155,159,673,758,144,551,082,042,227,673,491,691,324,
839,346,811,213,641,272,298,289,455,730,400,294,968,691,946,796,186,284,755,
747,760,443,934,172,825,557,424,989,883,295,060,245,273,864,135,498,714,225,
652,672,395,332,492,947,691,677,564,734,804,188,045,237,318,826,601,300,717,
295,571,030,312,530,257,933,975,943,407,393,147,857,999,034,957,320,674,535,
426,308,146,085,760,229,548,814,690,789,306,418,835,195,557,645,881,387,690,
807,729,677,859,442,311,494,780,757,217,869,750,204,648,806,194,728,307,874,
285,361,871,442,873,832,206,815,476,873,610,934,249,691,801,860,105,365,072,
740,788,668,979,068,159,965,747,887,218,418,565,327,710,731,462,443,838,643,
067,535,886,783,476,959,612,806,576,512,828,046,018,225,708,870,701,819,083,
469,586,137,392,429,817,311,695,692,246,763,150,813,308,867,649,695,462,891,
318,527,393,787,189,294,783,622,966,579,589,767,324,370,419,806,683,696,609,
831,149,579,844,343,754,493,711,099,463,932,302,006,514,723,805,903,196,711,
901,070,914,673,735,897,151,844,732,878,946,864,156,733,084,209,670,742,775,
588,461,153,794,369,545,963,722,929,708,832,922,182,120,518,947,034,951,524,
376,567,132,709,877,056,338,644,852,345,101,945,927,157,336,579,957,316,813,
703,422,711,127,570,738,484,857,894,263,318,442,358,465,100,860,130,497,049,
568,925,795,345,806,312,884,484,897,036,177,234,092,285,564,816,188,586,047,
024,788,024,515,884,857,261,864,881,746,518,536,007,583,485,777,068,664,222,
676,077,338,459,055,387,579,837,223,539,785,327,884,014,231,887,913,668,262,
051,629,520,641,935,100,548,101,798,164,480,869,247,989,071,632,275,469,013,
133,003,174,228,771,343,397,412,526,855,740,462,556,752,545,294,972,398,125,
006,866,323,575,604,499,592,793,668,392,407,621,475,044,463,310,056,725,133,
109,472,834,823,685,463,843,792,764,428,665,555,690,961,729,749,972,190,606,
405,725,342,483,394,801,064,547,438,802,750,542,079,840,885,478,294,221,485,
106,559,991,200,598,600,416,669,159,101,202,380,223,095,017,882,718,016,164,
759,815,357,439,593,447,659,714,451,518,050,974,344,106,956,039,456,703,201,
872,394,520,910,884,712,415,994,382,388,927,406,054,865,576,113,546,283,110,
422,533,932,917,091,684,617,356,115,186,437,161,668,093,560,657,130,121,581,
471,210,362,082,319,624,133,216,345,647,646,448,434,849,437,767,863,276,078,
624,167,899,667,214,909,982,942,718,235,377,905,460,957,671,217,455,694,083,
376,914,794,474,199,541,436,588,688,141,140,484,040,918,585,419,923,482,480,
728,778,254,602,776,104,303,429,780,168,621,955,442,502,806,728,254,343,882,
839,005,058,203,357,540,116,736,502,201,798,524,650,999,522,457,871,868,016,
919,141,027,772,630,983,288,746,682,136,690,346,411,764,879,220,417,259,046,
382,517,997,368,648,830,263,063,235,469,600,445,959,313,804,248,463,490,071,
364,840,647,948,668,902,958,688,460,819,187,612,600,433,294,602,253,403,232,
358,647,699,100,569,102,153,051,455,728,318,007,827,118,250,276,357,107,501,
590,330,074,756,531,522,834,169,042,169,693,292,044,393,806,195,261,397,961,
418,257,262,057,430,481,037,697,737,883,331,082,334,048,885,815,784,166,859,
274,097,871,030,192,961,416,077,367,200,799,040,532,951,591,204,247,255,515,
057,221,350,676,742,903,842,520,228,926,634,985,569,831,524,258,361,362,909,
136,870,363,945,795,572,228,259,809,235,693,395,906,697,197,403,692,941,901,
214,979,450,062,518,078,541,130,978,655,417,417,926,716,905,835,323,385,892,
971,796,490,564,728,471,008,309,597,693,290,510,025,013,620,286,654,877,442,
833,411,826,552,053,055,716,196,106,255,326,119,843,417,655,144,991,092,350,
045,472,821,218,779,961,918,112,835,192,164,241,368,670,187,970,371,539,261,
786,401,010,992,872,220,618,616,655,835,125,943,162,444,091,700,841,286,489,
106,083,499,367,153,990,178,290,753,313,035,759,138,899,153,274,124,732,449,
872,131,728,287,815,879,898,660,422,668,460,897,253,157,668,732,203,200,149,
341,191,230,626,729,708,250,580,707,630,560,618,939,599,776,131,753,388,184,
288,584,238,464,858,446,860,985,618,367,508,406,117,962,508,083,682,386,323,
642,721,794,215,899,468,868,951,102,850,757,519,258,080,376,407,087,138,982,
919,548,395,483,797,047,430,288,983,765,972,740,728,715,693,181,437,585,366,
078,886,262,284,644,021,273,121,734,691,352,222,140,339,299,896,710,325,481,
526,019,411,120,645,185,140,735,041,260,872,911,108,535,870,958,694,031,724,
683,494,411,117,798,251,364,396,992,623,538,938,863,139,222,067,997,093,989,
268,652,464,397,264,049,283,808,405,105,265,319,442,757,368,022,885,540,936,
967,647,764,125,919,468,026,034,024,038,344,006,158,782,201,754,819,484,126,
795,294,467,635,267,275,301,761,812,484,914,958,455,916,865,246,021,873,100,
460,909,120,607,649,005,924,671,098,242,740,824,521,871,467,161,414,857,173,
021,170,192,727,983,279,129,696,437,361,104,971,914,307,490,135,803,112,572,
146,396,298,494,238,384,794,421,932,280,474,036,779,706,750,094,927,266,887,
665,836,067,408,411,018,518,756,328,569,199,441,754,946,374,758,361,756,304,
029,903,635,283,597,730,478,265,997,245,088,279,807,857,092,879,624,492,857,
496,151,730,619,615,019,358,820,844,675,940,610,918,249,317,766,913,820,994,
069,778,134,428,613,581,443,801,958,238,608,764,672,948,187,095,359,525,569,
239,705,230,797,719,677,935,061,573,146,610,845,037,823,712,885,132,096,412,
207,381,526,188,813,753,726,906,747,222,588,349,159,898,080,186,855,296,386,
892,275,439,683,002,529,724,501,386,205,282,960,710,804,251,166,200,979,542,
031,276,059,809,377,076,490,649,732,317,635,124,536,175,888,454,016,416,677,
228,711,519,300,790,118,345,480,600,996,829,049,658,244,459,674,471,742,826,
107,154,262,828,737,717,212,212,765,772,955,554,367,280,908,156,580,641,678,
176,047,228,934,219,603,207,462,566,083,520,594,831,936,967,145,867,097,369,
583,626,684,066,684,467,093,314,438,545,823,580,059,748,323,599,823,462,086,
705,365,891,723,693,680,427,063,090,981,321,067,902,175,834,676,061,495,348,
976,528,662,694,523,292,718,088,603,619,595,289,214,113,480,067,986,011,875,
403,411,070,982,061,946,512,551,867,178,381,997,259,963,603,353,692,877,777,
898,107,510,686,537,376,537,542,454,963,394,069,670,014,926,259,149,993,850,
448,224,242,954,737,913,011,513,941,469,640,727,583,167,959,692,266,481,895,
464,374,519,241,607,622,555,603,464,373,702,822,891,614,543,735,310,241,018,
449,246,411,134,628,842,425,142,328,375,264,178,453,294,765,390,665,198,911,
847,797,317,990,595,668,574,075,903,571,786,835,901,463,948,433,976,464,390,
522,589,261,905,452,649,550,648,480,646,021,079,542,675,868,445,310,888,429,
464,946,299,226,614,988,138,101,693,860,505,768,165,854,068,289,161,851,522,
605,807,485,845,108,446,555,754,904,342,926,084,249,960,529,168,128,561,908,
470,720,665,015,597,412,960,074,100,721,176,419,108,649,530,079,524,468,948,
798,742,334,704,668,672,816,269,676,036,603,836,276,531,561,889,678,594,631,
194,491,651,908,863,552,691,190,874,950,749,444,604,145,190,348,458,365,715,
706,873,931,603,219,800,474,369,574,306,645,002,982,348,244,668,646,291,365,
587,411,784,143,099,062,830,219,980,206,684,918,218,727,035,128,063,372,082,
382,321,428,369,528,328,430,051,309,053,006,790,363,143,521,562,992,025,462,
884,852,270,155,448,169,705,656,689,939,969,628,067,102,901,984,840,196,385,
581,571,807,348,841,022,692,140,073,042,840,925,267,085,517,577,649,198,842,
814,427,646,776,017,944,182,830,062,506,504,281,870,603,984,691,496,701,887,
365,092,447,620,989,170,272,244,833,367,792,068,793,556,507,065,596,897,085,
466,276,723,544,284,554,751,034,405,918,625,192,878,996,218,213,685,890,369,
833,704,519,586,760,602,225,225,056,748,354,486,822,992,047,969,697,644,254,
506,159,072,504,093,764,538,101,839,920,519,844,788,695,585,663,473,697,301,
624,525,117,255,953,817,690,895,963,599,912,933,089,569,856,133,550,653,097,
071,233,768,928,309,545,272,364,683,339,089,860,122,089,250,260,737,282,356,
624,601,567,382,665,311,715,738,739,823,551,233,517,205,126,798,216,471,792,
731,737,418,093,480,467,024,278,680,194,925,491,346,611,835,342,545,211,287,
616,191,794,053,873,873,132,338,997,090,054,991,206,868,219,143,594,086,965,
523,087,633,338,609,762,134,253,256,732,634,019,685,971,951,932,406,677,036,
690,925,215,576,759,315,163,310,385,944,915,661,192,858,086,858,759,332,429,
369,040,409,442,380,683,132,652,639,100,845,395,070,516,642,189,479,703,264,
984,585,024,217,430,789,162,873,861,894,677,908,339,086,009,861,057,738,641,
627,767,100,386,410,118,099,590,141,735,130,094,801,490,980,659,098,560,914,
595,207,264,317,964,102,936,534,898,105,744,582,383,558,411,564,008,625,540,
833,632,881,590,379,923,453,363,747,216,250,348,591,710,940,510,489,558,903,
296,670,936,356,832,209,586,914,440,954,172,579,944,364,001,489,407,591,838,
021,972,739,629,385,510,451,835,505,305,597,708,685,006,626,381,784,100,634,
241,829,739,076,823,115,682,070,039,527,946,325,721,107,595,732,171,801,668,
920,570,741,129,706,710,216,601,832,549,814,046,968,628,430,820,340,801,137,
557,200,869,502,975,705,387,650,098,733,491,913,699,647,858,273,335,464,667,
673,095,565,168,930,906,835,923,852,173,915,205,000,856,687,032,206,879,448,
692,111,370,269,894,645,641,069,619,351,172,418,196,573,225,249,369,132,547,
886,558,972,748,408,652,451,972,694,012,205,217,589,237,309,183,582,981,716,
191,797,312,003,363,628,778,979,726,612,951,531,787,361,443,106,050,687,750,
495,474,360,696,246,188,510,987,101,734,686,715,848,616,888,998,734,624,638,
145,810,832,769,477,105,906,586,435,773,370,203,752,239,758,683,657,451,636,
725,799,943,305,979,316,153,909,317,190,347,180,269,935,668,862,942,114,833,
686,526,924,955,527,818,776,277,020,211,961,363,659,523,199,143,494,125,546,
065,109,332,072,127,432,727,219,684,026,976,388,151,538,644,591,616,254,472,
632,355,879,450,239,403,761,386,240,384,371,330,666,048,152,947,208,809,755,
537,365,458,860,595,208,778,239,494,075,627,782,253,341,784,745,445,520,161,
356,685,255,295,123,071,015,466,932,958,809,680,262,968,617,192,135,612,410,
940,119,196,670,124,036,411,535,865,215,486,829,588,531,022,158,520,463,301,
591,146,451,988,602,415,826,124,200,502,675,904,828,774,678,524,026,080,100,
256,031,728,425,494,055,169,240,725,488,647,521,642,349,832,770,853,175,438,
138,757,019,984,656,472,965,594,540,053,641,447,978,004,836,637,514,508,305,
733,785,183,658,162,352,474,829,896,675,102,634,124,683,614,861,739,648,718,
053,127,328,606,127,159,183,753,909,958,551,965,736,460,220,526,938,354,632,
381,049,763,541,979,904,090,309,205,039,308,722,490,793,225,512,906,440,504,
953,823,875,113,212,126,306,425,749,143,345,707,545,794,507,422,649,992,901,
035,067,690,024,010,793,567,389,849,976,781,390,617,427,286,195,596,347,694,
032,552,689,342,472,399,798,124,367,989,620,191,784,563,988,532,485,073,263,
945,279,469,920,629,196,889,095,011,057,751,567,491,672,116,559,777,251,284,
039,954,916,913,313,451,092,294,129,168,337,224,647,403,812,107,526,387,667,
010,895,916,536,885,492,295,134,338,367,388,617,656,461,014,552,424,883,228,
944,945,135,296,961,395,404,379,318,209,323,541,594,842,395,034,352,488,474,
287,080,588,558,832,178,071,584,142,633,670,142,788,358,395,754,376,803,531,
477,319,909,946,861,640,337,689,300,364,997,358,778,578,230,092,231,659,139,
609,867,725,124,072,956,922,626,384,603,261,309,524,566,938,503,266,734,326,
039,703,041,951,321,947,451,519,894,991,899,415,478,984,449,928,180,579,517,
982,304,766,983,580,216,610,324,041,629,284,250,909,068,289,038,483,046,202,
433,188,120,208,432,338,382,231,872,581,950,502,400,656,540,328,400,071,065,
999,944,980,293,135,678,478,556,169,111,504,923,230,094,960,384,172,931,585,
115,163,037,166,992,238,525,825,933,204,127,559,771,803,117,335,776,035,542,
860,551,374,810,677,311,910,001,327,541,387,930,825,461,085,427,366,417,520,
095,479,317,402,761,094,419,364,977,613,239,743,149,859,377,699,779,109,887,
217,202,918,476,323,593,557,124,254,077,740,571,038,607,819,438,426,809,017,
684,109,226,716,468,235,840,552,246,260,061,011,678,767,320,155,914,198,901,
758,410,579,015,773,969,964,352,012,407,591,398,857,580,046,671,128,480,480,
029,602,550,217,299,706,261,781,637,628,091,592,690,155,192,988,607,847,939,
228,147,789,531,338,879,461,450,479,588,236,092,642,208,521,828,140,087,280,
379,020,788,638,532,070,062,862,801,189,919,669,328,552,875,002,918,868,408,
602,586,936,604,980,707,112,439,530,893,700,917,797,583,558,132,410,702,323,
292,526,805,453,768,443,654,810,854,177,320,740,446,818,976,233,777,761,579,
961,415,350,137,565,282,487,415,850,235,224,659,549,237,542,990,738,410,064,
036,535,083,989,055,840,878,714,722,089,852,677,109,720,466,874,976,753,654,
111,356,834,490,200,393,101,488,787,379,206,958,021,231,115,555,808,935,213,
235,202,720,063,524,700,397,244,764,267,915,417,067,972,393,120,770,964,714,
820,370,738,098,651,001,385,389,949,403,144,234,215,263,227,257,801,039,794,
421,949,683,222,314,939,982,520,379,877,926,307,087,451,548,632,731,736,124,
091,251,893,832,623,481,831,162,698,874,363,248,412,621,529,937,805,706,760,
819,205,032,838,110,190,907,845,854,894,035,190,643,956,948,245,132,730,409,
697,289,188,431,818,793,858,342,847,454,424,676,724,185,713,335,964,330,115,
250,647,813,840,441,053,468,950,818,230,006,043,869,581,192,646,592,080,316,
099,468,128,948,345,980,331,542,102,902,921,098,973,572,614,435,273,507,749,
806,769,627,968,383,826,845,211,273,310,080,338,882,847,525,830,776,155,500,
187,865,488,345,800,108,885,187,266,619,808,769,997,514,013,619,264,492,868,
654,069,463,355,074,517,474,399,032,273,914,800,586,116,454,136,962,029,968,
460,377,682,328,956,280,112,663,299,096,520,703,237,158,975,974,548,949,255,
231,695,406,406,568,005,402,732,164,128,849,742,346,601,848,634,096,734,101,
661,820,027,875,542,613,917,188,538,151,371,258,560,588,668,966,429,519,740,
469,314,099,129,936,725,157,118,546,990,048,458,536,568,530,896,869,498,259,
601,750,691,471,406,160,960,550,474,007,561,351,673,172,316,921,832,547,840,
480,469,927,653,806,452,092,761,961,504,757,835,256,005,060,022,212,516,516,
153,285,828,886,043,240,384,617,924,869,312,534,686,624,698,781,777,169,399,
721,295,973,085,042,877,277,959,696,543,554,741,447,693,500,005,853,411,566,
768,189,969,348,248,186,143,332,452,772,334,403,165,578,897,984,909,734,675,
768,484,795,425,479,864,941,355,819,479,500,444,409,112,234,883,151,814,247,
264,994,138,816,997,183,030,771,262,877,813,390,048,964,218,622,604,916,533,
690,859,945,691,498,816,338,048,161,115,139,677,643,031,010,754,929,396,558,
190,691,471,218,790,236,870,243,627,000,845,031,033,441,361,264,492,154,025,
714,106,602,156,386,579,731,133,620,230,040,694,331,337,562,355,124,128,377,
551,343,933,556,868,872,283,379,755,126,460,633,298,351,564,536,685,465,058,
809,044,481,732,961,770,528,603,214,060,054,467,345,552,731,470,698,634,115,
503,323,784,150,511,723,741,085,116,104,673,758,112,033,302,867,900,829,859,
641,388,634,292,713,989,952,744,306,452,042,716,537,650,330,652,534,696,355,
150,052,760,760,939,792,756,469,706,360,668,873,943,093,130,320,200,483,453,
164,063,926,850,117,978,657,380,241,207,333,342,105,900,762,503,722,870,355,
116,078,327,716,754,063,770,270,799,446,179,588,490,321,195,881,417,842,715,
283,947,927,158,342,739,573,382,135,311,007,673,721,758,666,286,009,610,166,
486,826,318,208,510,076,846,053,832,470,446,653,974,359,459,739,060,364,523,
261,609,536,172,173,803,692,813,223,647,480,950,140,983,268,069,723,678,686,
479,080,320,666,039,116,225,609,756,935,469,902,614,918,179,745,195,305,846,
734,926,903,994,665,107,344,202,163,969,262,039,001,452,175,111,331,362,157,
149,763,347,328,269,526,596,606,314,131,719,093,700,758,604,942,094,184,031,
418,700,853,059,626,402,724,513,337,948,187,824,959,895,049,676,201,297,301,
208,304,256,949,950,457,859,420,288,665,551,789,571,409,969,787,294,636,638,
352,002,891,903,783,416,822,087,206,401,227,871,359,520,335,794,885,556,858,
650,633,964,949,591,635,013,616,388,774,384,082,449,634,642,112,044,780,896,
367,148,316,826,607,978,461,810,432,823,681,514,906,073,715,142,810,937,347,
418,529,624,178,588,824,832,567,778,089,877,043,221,894,261,687,424,101,134,
345,512,970,661,722,125,506,237,211,104,540,400,362,698,023,709,200,491,015,
888,382,755,354,236,349,526,029,132,921,655,837,078,325,284,414,759,025,719,
585,561,235,353,892,929,199,413,073,716,528,272,112,480,318,487,294,519,591,
881,377,488,293,275,221,103,405,480,985,215,527,522,941,291,438,374,558,423,
088,972,113,639,525,380,770,721,083,306,188,477,011,721,767,713,591,673,788,
442,182,527,473,359,501,548,940,960,705,592,516,757,668,164,596,623,838,805,
596,648,802,768,027,074,494,346,280,903,320,959,875,802,632,169,524,207,407,
703,436,057,835,395,981,331,735,408,763,001,688,928,418,446,484,359,130,643,
767,739,836,092,115,442,554,537,725,955,586,116,326,924,242,571,127,705,278,
151,794,152,512,642,213,195,726,919,109,627,963,240,713,084,036,189,027,811,
266,272,354,077,686,459,796,635,287,243,061,671,928,198,985,138,416,903,889,
414,308,296,404,542,185,338,392,771,684,531,474,519,038,292,639,738,229,734,
103,592,130,776,713,260,539,306,708,952,951,104,496,476,649,389,086,373,166,
901,963,350,582,612,850,897,072,964,255,486,447,586,362,809,685,302,336,428,
621,321,350,698,614,369,878,520,061,794,762,328,090,036,826,989,649,965,245,
312,553,454,575,747,442,743,657,314,174,087,541,871,217,695,610,007,482,476,
185,571,975,052,242,029,735,781,211,849,753,730,372,681,840,041,161,799,559,
391,318,059,609,770,001,412,724,729,515,680,450,263,081,644,130,379,029,337,
238,635,888,508,696,523,339,053,701,119,778,585,587,747,311,300,471,253,644,
285,281,357,482,778,532,067,307,720,203,841,517,918,425,877,576,984,061,075,
690,326,177,861,475,732,045,562,300,388,506,848,301,710,818,492,330,550,670,
667,499,407,521,833,449,095,759,352,758,748,418,435,037,919,588,341,518,077,
570,676,053,930,876,597,884,865,158,145,485,646,038,419,173,230,122,830,823,
547,683,123,634,174,428,201,200,761,128,761,182,333,126,626,410,746,270,424,
349,025,784,433,552,742,420,008,818,525,078,924,257,129,963,254,455,412,043,
161,191,005,393,555,672,945,448,130,278,868,760,436,630,413,926,588,696,318,
560,036,494,766,593,348,468,329,946,281,016,015,130,210,550,399,649,877,028,
795,646,533,708,602,175,042,226,522,688,779,305,478,403,908,324,070,624,373,
759,758,400,937,733,250,351,548,321,543,620,745,058,584,452,409,885,953,696,
722,961,554,335,807,174,652,058,435,401,759,959,262,437,791,610,284,032,382,
378,692,689,775,675,523,825,919,895,685,700,748,194,704,815,177,045,829,612,
131,653,496,812,389,911,283,930,985,857,830,468,732,062,887,465,158,638,819,
097,630,432,784,336,121,036,431,331,595,179,944,958,903,883,176,623,897,082,
845,381,963,679,104,370,397,292,098,255,737,097,001,090,391,683,110,181,149,
224,196,958,011,447,927,588,527,965,830,300,334,282,594,539,946,557,897,162,
754,346,208,335,772,261,438,792,676,028,622,974,925,602,447,969,413,744,826,
396,460,059,845,692,801,590,911,650,010,091,639,911,097,022,672,748,577,350,
735,537,350,300,904,302,540,064,343,380,582,559,845,627,980,564,201,708,879,
637,917,524,315,765,322,155,718,082,511,420,130,419,092,469,351,567,482,148,
519,270,425,382,280,579,095,146,902,564,601,862,617,361,502,559,879,580,849,
695,883,658,149,072,848,107,190,971,547,265,339,932,346,719,720,744,197,960,
807,293,496,530,560,047,783,299,849,841,340,695,648,581,453,450,822,874,974,
811,960,320,137,701,383,135,749,782,857,848,991,296,816,466,743,901,936,689,
372,831,891,106,408,956,519,919,552,937,056,330,727,996,910,669,722,038,939,
863,239,579,811,055,582,432,915,564,269,949,342,096,463,614,686,380,594,159,
464,037,192,143,578,467,546,197,950,886,749,477,938,295,821,753,834,114,391,
371,649,354,303,539,306,995,494,183,540,004,764,049,076,847,679,367,062,063,
101,112,048,704,342,215,359,941,975,662,989,379,747,648,392,555,808,282,408,
530,357,107,113,250,388,450,505,461,144,346,087,578,858,318,244,467,277,554,
224,892,637,590,830,170,213,239,005,996,961,356,672,079,960,426,074,227,113,
771,444,369,007,821,921,798,017,608,754,992,930,065,669,956,288,040,665,189,
330,115,201,681,887,346,207,296,601,198,696,424,975,911,010,991,483,062,588,
542,435,069,440,473,445,263,952,735,807,598,714,939,710,352,683,881,792,845,
666,830,624,421,185,058,397,188,461,698,698,712,246,524,692,106,207,952,695,
114,062,192,838,513,137,586,936,334,249,872,225,555,483,964,470,236,742,222,
152,240,101,071,103,863,691,365,739,990,396,750,473,040,167,251,683,773,474,
203,664,077,191,758,964,978,669,695,489,755,393,317,530,404,131,207,129,225,
091,963,844,583,824,343,684,186,206,891,514,843,149,905,104,177,486,913,980,
336,882,065,798,858,338,961,695,149,591,112,408,715,882,309,236,893,012,076,
056,034,740,748,725,805,242,653,098,286,902,012,981,397,282,386,376,123,020,
260,867,214,459,985,339,673,392,948,901,024,023,226,604,461,049,673,009,849,
358,493,492,318,349,817,276,384,476,982,108,012,616,189,028,812,128,990,831,
994,689,913,516,063,274,528,449,305,870,344,517,440,071,193,295,028,504,095,
706,337,580,073,100,108,881,202,852,400,523,608,023,032,478,011,587,576,726,
807,856,501,931,786,550,433,956,099,224,824,285,642,805,901,712,570,358,079,
303,590,134,062,274,631,912,368,502,908,835,029,709,829,613,649,111,187,419,
959,724,554,299,182,186,144,833,385,570,626,947,342,395,568,695,742,598,350,
029,431,511,931,484,589,295,342,520,428,953,191,203,543,084,258,808,308,848,
672,639,936,734,068,635,430,470,977,831,738,355,019,544,459,759,997,046,554,
935,716,352,981,279,836,482,546,836,534,958,432,619,238,686,412,873,880,182,
781,516,832,978,284,112,756,176,081,259,841,154,970,709,919,961,668,293,579,
069,130,700,122,968,826,039,765,863,758,657,239,994,498,015,857,758,453,916,
295,966,721,551,732,312,663,466,368,582,728,697,054,711,809,369,797,911,533,
376,984,371,636,458,007,079,270,321,127,909,939,343,126,510,856,898,596,596,
146,630,718,861,128,753,914,663,719,797,183,597,302,183,253,902,682,595,685,
049,753,795,707,007,946,649,770,379,723,677,171,135,972,452,732,044,724,322,
052,367,830,837,598,107,157,045,372,158,228,718,492,335,513,403,670,902,899,
042,275,591,185,009,448,693,424,022,891,621,928,081,828,755,905,644,436,461,
615,421,241,813,768,423,796,271,814,317,628,930,145,498,423,355,642,907,609,
776,670,846,244,969,086,725,196,923,138,217,120,132,900,261,622,953,554,586,
603,601,013,679,309,544,741,382,147,047,339,957,963,133,131,610,178,422,840,
501,076,631,710,697,674,503,663,261,743,807,262,353,834,857,241,859,164,207,
723,141,104,434,580,761,729,670,185,808,701,983,033,680,310,455,392,817,214,
221,303,180,724,152,518,917,947,094,019,565,423,437,608,471,105,413,002,337,
630,179,360,367,088,802,355,876,377,206,031,885,073,587,582,965,261,922,864,
370,273,393,042,728,212,301,055,951,483,034,482,166,578,396,283,906,643,195,
640,916,460,740,104,757,918,198,601,834,214,766,799,994,069,040,999,398,266,
878,485,842,844,169,127,248,161,105,884,759,413,092,472,898,954,263,684,280,
890,753,399,007,807,898,514,460,672,096,476,120,429,739,708,314,311,647,075,
732,967,430,511,539,496,088,158,890,319,653,479,702,304,451,099,695,414,348,
131,720,837,539,114,225,146,794,506,188,870,051,106,648,008,935,459,554,229,
487,234,951,711,940,057,137,723,277,629,017,356,374,868,491,196,921,533,263,
681,339,633,293,530,243,348,213,725,820,270,270,310,874,911,435,004,822,281,
755,264,717,289,262,122,756,812,434,560,185,170,287,367,152,008,030,048,779,
889,413,499,629,558,878,987,888,749,217,056,833,725,226,470,871,931,220,466,
304,205,431,261,218,478,723,172,016,281,999,795,537,657,739,349,328,921,784,
763,281,330,323,558,901,592,113,174,554,338,058,608,410,065,724,482,956,206,
594,815,822,199,240,224,375,337,091,556,207,230,654,553,131,327,915,564,537,
624,321,546,850,499,967,067,414,572,545,780,853,420,283,505,580,621,192,936,
557,123,476,470,448,717,218,943,603,577,170,886,363,896,268,657,157,001,369,
841,360,779,376,054,832,232,498,529,125,956,953,064,755,061,291,185,770,322,
945,733,633,006,058,399,445,306,114,552,291,110,359,779,519,239,269,509,824,
873,442,625,870,567,970,106,382,580,787,198,204,200,865,160,480,367,394,610,
946,435,295,574,191,606,332,079,728,271,053,419,579,959,568,283,661,272,313,
711,651,451,119,015,139,351,576,630,465,975,112,596,230,688,708,926,736,041,
082,040,284,057,267,883,117,188,891,941,978,335,042,902,355,647,623,061,194,
334,571,249,567,541,504,203,935,438,711,289,601,541,458,902,213,364,901,246,
236,941,474,431,289,040,480,144,896,468,802,224,837,509,973,535,967,354,210,
757,732,578,091,387,394,462,801,586,331,564,105,801,483,565,646,464,964,478,
140,489,071,188,192,387,921,632,282,353,079,522,313,962,677,594,885,243,187,
796,268,229,256,108,415,612,958,797,023,649,648,751,804,768,326,444,576,389,
262,268,410,899,520,389,289,356,037,375,449,399,440,325,348,119,193,189,119,
752,348,909,691,594,897,174,192,823,079,100,345,036,842,630,501,925,497,633,
077,348,406,807,106,113,790,687,046,420,231,739,234,047,274,719,004,188,211,
911,620,667,906,117,032,433,781,812,817,450,545,240,720,381,611,365,418,535,
217,187,176,306,118,761,391,646,979,997,751,344,588,389,052,808,969,708,342,
578,726,968,783,956,436,430,601,227,269,072,352,041,980,687,491,831,935,388,
663,802,949,807,351,542,911,053,230,375,266,589,209,008,339,613,575,241,218,
508,308,717,623,686,412,732,561,059,382,636,999,633,994,739,446,269,044,952,
147,434,388,590,945,706,165,053,138,319,913,585,393,189,788,160,114,931,523,
663,427,920,980,778,067,638,481,405,783,733,805,743,293,381,363,157,747,127,
167,584,194,107,513,606,712,108,532,853,911,573,776,512,591,329,638,084,233,
107,313,126,563,672,427,434,564,603,855,905,664,228,512,509,565,532,571,862,
998,181,396,105,628,111,379,820,867,868,397,727,037,996,115,897,353,792,069,
632,770,804,717,242,086,807,048,218,212,641,109,966,087,494,455,652,600,575,
527,170,882,946,986,169,216,964,674,322,387,628,201,315,903,127,467,723,229,
502,188,285,016,755,045,454,938,577,345,850,568,890,300,248,765,082,551,020,
665,449,597,679,325,018,586,065,368,468,752,332,068,372,155,513,835,925,907,
465,309,075,428,235,265,689,021,337,213,120,428,767,468,054,063,437,188,402,
637,625,053,511,200,710,146,553,320,378,010,178,052,105,169,231,399,620,007,
370,747,498,769,750,384,489,643,650,247,416,402,382,286,235,860,506,469,448,
110,454,249,311,568,732,227,894,626,317,187,411,207,317,338,517,911,766,663,
774,894,370,600,289,296,752,397,390,154,884,620,076,378,863,696,594,447,530,
824,901,089,804,030,450,809,460,299,676,673,958,410,618,574,841,359,051,567,
234,248,417,197,568,780,669,122,450,016,586,417,943,639,018,627,730,499,988,
048,641,366,775,550,031,193,678,599,835,720,238,332,783,964,639,017,398,925,
875,792,233,914,695,760,797,371,098,578,515,420,687,356,382,452,817,477,901,
428,054,694,308,487,953,499,188,414,075,851,242,230,569,453,447,331,011,008,
565,416,235,222,276,637,696,639,705,295,196,378,094,957,212,379,569,094,236,
199,126,666,727,854,663,267,853,463,167,053,797,072,610,908,105,739,040,094,
401,029,521,044,375,088,423,997,959,014,295,007,046,383,748,000,084,694,520,
544,936,932,673,300,555,504,309,898,943,180,830,747,675,444,792,767,293,405,
196,266,564,867,692,138,865,935,591,751,251,603,358,353,902,837,590,074,178,
389,584,774,567,226,119,996,253,734,212,186,537,266,098,531,718,528,713,059,
581,733,248,025,185,881,196,585,005,558,166,280,094,123,448,875,740,283,627,
921,353,850,142,829,692,275,629,161,617,352,542,127,536,087,917,937,071,348,
383,969,818,850,710,384,952,059,305,532,919,190,966,633,995,451,797,441,459,
886,197,608,956,553,949,515,322,245,272,591,816,654,752,700,199,377,226,832,
055,682,545,022,980,067,678,983,893,479,845,896,418,202,898,113,047,978,106,
122,879,096,112,346,306,019,049,999,683,675,716,819,912,226,903,351,417,707,
794,116,308,409,890,051,360,175,593,227,391,882,666,221,333,737,188,070,678,
212,656,972,151,152,556,952,212,406,010,009,198,721,428,433,784,307,584,973,
856,985,038,930,883,913,321,118,696,907,565,472,234,402,190,914,895,567,545,
313,493,427,632,744,004,170,565,516,677,895,636,435,678,718,702,236,275,440,
049,239,371,756,801,913,052,958,462,156,139,656,218,946,914,715,495,797,477,
331,930,570,216,048,114,653,883,084,708,054,525,306,439,207,057,785,466,832,
455,958,672,881,576,875,623,718,002,230,518,210,475,803,188,248,443,417,414,
997,004,744,717,928,190,738,988,969,429,316,315,411,737,052,143,235,803,041,
339,120,844,145,559,512,987,326,323,255,583,095,650,322,109,802,708,196,603,
021,731,040,017,387,402,462,714,089,992,523,574,766,524,254,199,368,203,780,
243,440,337,672,698,794,750,862,320,772,930,858,361,966,049,168,188,891,549,
511,057,299,618,831,227,628,118,710,878,389,822,055,585,909,445,469,195,236,
059,692,262,867,015,170,752,734,419,518,784,782,782,124,601,508,080,295,446,
902,924,970,176,028,363,144,884,267,236,426,169,993,177,577,623,465,525,960,
945,757,362,259,714,799,787,801,961,171,971,699,594,284,051,530,304,186,707,
359,493,787,342,147,368,567,106,726,609,475,217,623,524,397,405,878,746,164,
187,307,344,161,961,913,479,465,028,608,995,357,659,998,088,520,329,370,917,
916,517,495,100,176,112,031,755,693,497,029,892,522,857,268,631,554,332,339,
727,873,354,522,167,190,299,685,470,277,958,450,378,842,796,891,076,390,578,
744,087,480,718,412,836,837,275,349,864,280,325,600,779,032,892,721,821,166,
786,132,795,234,583,925,259,579,521,165,795,955,904,744,447,978,261,148,668,
468,981,873,391,037,444,835,264,629,892,896,521,020,742,103,435,502,191,314,
545,565,287,758,780,465,136,014,491,806,900,994,642,018,522,328,835,699,391,
159,448,301,538,295,514,070,792,595,124,057,197,997,541,180,109,639,830,130,
387,177,924,797,490,185,413,373,824,915,730,544,667,830,174,702,651,395,793,
436,935,695,788,714,686,696,695,917,559,331,056,280,885,865,344,462,997,169,
111,401,478,060,761,835,161,238,221,848,698,767,749,050,931,330,390,007,300,
439,971,024,772,723,996,779,332,092,618,380,095,227,011,936,461,492,756,780,
566,915,544,145,709,083,760,425,474,671,214,639,921,243,466,969,542,615,680,
366,342,676,418,732,978,766,216,680,648,485,508,626,609,806,010,778,469,781,
582,464,643,291,854,047,412,904,300,423,620,949,464,121,625,273,266,955,602,
846,846,221,653,929,837,100,104,092,285,198,759,184,801,073,481,336,445,665,
907,888,925,358,207,613,521,122,626,582,796,216,608,500,519,467,915,981,691,
243,290,440,389,774,071,713,525,714,010,898,499,952,978,215,337,583,652,629,
207,928,966,874,420,256,403,203,481,984,502,442,350,604,566,661,189,865,953,
098,059,397,836,492,881,339,308,631,881,318,682,891,559,822,647,743,789,683,
459,522,029,101,898,904,320,879,923,184,202,554,890,677,860,331,716,870,451,
413,065,845,329,162,870,610,056,426,344,731,377,655,476,549,681,520,119,171,
780,930,262,333,790,064,379,976,376,828,486,218,294,944,195,350,923,611,783,
093,779,724,045,605,402,354,226,038,240,103,970,264,117,666,382,267,937,610,
174,669,855,467,058,616,136,071,123,669,481,078,381,864,721,767,955,251,825,
294,852,796,508,237,507,162,973,175,690,959,767,651,987,284,204,538,668,975,
531,679,880,518,473,932,126,080,196,444,089,124,219,787,832,278,460,987,788,
982,534,320,527,033,496,814,555,824,192,827,354,376,416,303,339,732,339,508,
470,684,028,325,048,984,036,793,097,337,314,538,511,139,666,994,016,506,630,
589,376,548,135,074,955,866,172,306,851,991,847,405,983,484,200,287,120,823,
230,995,374,475,898,009,409,371,830,335,479,985,426,670,004,898,920,764,870,
701,218,409,242,870,183,746,091,454,439,343,917,659,662,933,013,537,713,232,
062,532,515,275,632,689,984,902,377,582,913,322,585,934,766,437,574,014,003,
936,396,475,434,364,797,295,528,293,295,295,780,215,623,569,787,937,370,500,
518,593,966,743,733,660,489,216,910,481,833,533,882,345,704,183,575,115,945,
337,731,524,608,190,164,218,037,441,891,870,306,066,128,165,418,062,760,746,
180,593,286,079,956,704,580,344,409,632,775,690,513,025,042,319,632,688,013,
920,293,547,126,856,469,409,661,082,215,599,760,511,458,841,678,211,548,137,
272,659,348,040,024,699,154,644,340,091,409,043,500,683,857,038,917,369,554,
788,009,222,831,689,162,249,165,451,913,489,470,911,075,019,324,963,179,245,
135,490,229,668,577,124,015,940,324,200,686,598,753,200,783,789,258,099,094,
671,442,699,475,383,829,981,635,766,377,949,635,221,442,303,301,326,126,875,
939,450,261,390,859,938,829,619,526,540,847,203,856,471,490,889,354,284,264,
714,817,211,417,060,169,162,270,484,630,663,914,958,957,456,524,380,949,905,
590,611,424,784,725,761,756,712,505,846,977,030,572,971,133,911,543,331,365,
712,051,358,664,283,253,250,971,841,102,140,760,538,880,275,949,623,392,209,
829,967,662,508,135,596,438,404,840