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7,923,1007,998,990,979,970,959,951,944,942,939,1,1,129,129,128,126,2233,1032,848,831,824,821,817,813,806,802,803,806,806,807,807,806,803,798,795,791,790,786,784,784,788,792,790,789,789,795,794,796,795,797,800,805,803,802,803,814,825,846,845,871,882,892,909,924,959,970,651,521,3,4501,1,1,1,1,1,1,8,10,24,14,1,2,30,265,1,25,1,9,14,10,7,10,18,30,62,38,1,51,15,223,1,4501,1,4501,4098,4311,4011,3720,3442,3051,2569,2140,1980,1943,1929,1927,1925,1693,1358,1110,710,576,544,540,543,546,544,517,490,493,522,547,548,548,544,575,749,725,1156,1709,1871,1921,1931,1932,1937,1945,1950,1982,2207,2593,2894,3116,3591,4082,3049,1645,324,1,4501,44,9,4,1,76,26,3,5,7,387,1,24,308,1,1,1,1,1,1,93,1,5,1,110,1,9,47,21,58,26,1,4501,1,1,10,436,680,861,871,848,845,833,813,802,798,797,797,798,795,793,796,794,793,792,784,784,785,786,783,781,782,782,785,791,793,799,804,808,810,813,813,811,815,818,823,830,838,840,953,1407,4501,4501,1,1,129,129,129,122,42,4501,969,1019,1037,1026,1017,1019,1028,1037,1046,1058,1008,4501,4501,1030,1014,951,950,948,891,884,877,876,883,890,893,1,1,116,116,110,4501,1999,1490,921,837,825,822,820,824,826,830,905,879,833,821,820,820,826,832,1051,4501,117,122,119,104,1539,1108,899,867,865,871,876,882,890,906,932,941,953,973,4501,4501,600,862,693,767,919,1026,1080,823,68,109,107,110,106,121,127,127,127,124,111,110,130,134,129,1,853,845,835,827,821,815,815,812,807,803,798,796,791,789,785,782,782,778,777,781,779,780,783,793,796,796,799,798,802,803,804,802,806,810,825,836,845,864,885,890,907,922,952,978,642,592,13,17,1,1,1,7,25,78,1,1,1,25,1,1,1,202,1,1,6,28,43,21,80,24,1,140,20,130,4,22,1,86,1,1,1,4501,1,4272,4367,3953,3690,3505,3162,2671,2345,2053,1951,1931,1932,1852,1868,1697,1128,1002,704,561,549,552,551,524,498,499,532,558,557,550,549,660,963,1014,1456,1681,1901,1933,1933,1934,1941,1947,1955,2091,2518,2877,3130,3562,4059,3731,1984,519,1,30,7,1,1,13,17,12,1,11,27,5,28,1,1,30,269,1,4,20,26,1,1,1,97,1,1,71,1,1,4501,1,1,4501,1,1,1,613,797,869,894,866,854,838,832,812,803,796,798,801,797,796,794,794,793,792,792,775,768,767,768,767,766,769,774,777,783,787,790,792,796,799,803,806,814,825,832,841,853,1032,124,138,140,139,125,121,117,117,116,116,116,119,125,129,131,133,131,119,119,129,101,59,34,4501,4501,4501,1044,1009,938,931,913,887,883,875,868,856,855,856,866,866,864,414,14,129,126,116,4501,1812,1026,843,828,827,829,831,925,862,826,818,818,816,1063,184,141,141,139,1200,943,864,855,854,843,842,849,860,871,880,888,899,923,934,949,968,4501,4501,4501,144,141,143,141,139,138,137,137,131,127,121,120,117,117,116,113,114,122,129,139,139,138,1,4501,4501,3170,3116,2748,2489,2332,2212,2139,2019,2022,1145,950,702,672,673,661,679,684,707,722,751,765,795,795,798,797,795,802,801,806,803,806,808,821,831,837,859,882,885,903,917,945,937,814,582,161,15,1,1,1,1,1,1,1,1,15,60,10,1,1,1,1,39,30,341,1,227,1,3,109,14,319,35,35,9,51,38,29,4,1,1,4501,2638,3376,3834,3823,3615,3403,3061,2696,2364,2102,1975,1939,1940,1937,1799,1465,1061,947,669,552,553,560,538,504,512,546,563,559,555,567,1014,832,1469,1720,1768,1940,1945,1947,1950,1955,1962,2027,2280,2716,3002,3269,3685,4059,2712,951,1,1,4501,1,1,12,111,38,27,129,13,31,28,93,1,1,9,1,297,1,10,21,30,10,48,1,1,1,26,16,1,1,1,4501,1,1,1,1,971,949,908,900,861,845,829,824,806,799,796,798,799,796,792,794,795,791,795,789,763,734,690,641,585,547,474,414,365,311,289,264,243,224,215,202,189,181,169,165,157,150,126,133,138,139,138,129,121,110,113,116,116,115,119,121,124,128,135,139,139,139,141,143,148,155,166,171,165,166,162,156,169,172,170,170,1,1,1,1,651,1569,355,5,1,1,1,222,151,152,152,731,960,857,826,821,821,823,809,809,811,808,802,175,170,132,4501,2630,1133,121,1,1151,2013,885,841,843,857,871,873,876,892,913,926,941,959,4501,4501,4501,1,135,143,142,139,138,137,137,123,115,115,115,113,113,113,111,110,120,130,136,137,139,146,150,156,163,170,174,182,189,198,209,215,229,246,263,274,303,351,403,489,531,624,680,731,755,787,795,796,797,796,799,800,805,801,805,809,819,824,834,854,876,885,901,913,936,903,816,480,175,19,1,4501,1,1,1,24,43,1,16,29,98,19,1,22,30,384,1,1,1,28,263,31,1,172,2,8,20,28,155,5,1,154,107,1,4501,4501,4501,4169,4061,3769,3598,3309,2929,2514,2277,2114,1982,1948,1944,1943,1844,1782,1431,827,640,559,564,554,522,525,561,574,566,768,1192,1758,1875,1759,1863,1951,1950,1954,1958,1962,2024,2062,2500,2832,3067,3219,3769,4208,2586,860,1,102,68,21,16,1,24,1,27,9,207,1,14,1,1,33,1,1,1,1,1,1,1,24,1,1,10,27,1,1,28,61,1,1,1,1,1,1,1,1,91,684,863,856,844,824,821,805,800,797,799,800,795,794,796,794,792,793,786,753,713,640,549,469,426,367,331,305,279,268,255,242,227,222,210,198,189,176,170,157,142,1,1,1,140,141,131,122,111,117,118,117,117,120,122,126,128,127,74,32,110,68,34,58,1,4501,4501,1063,1027,973,950,941,894,869,865,864,858,847,843,842,840,837,832,832,825,820,815,812,806,803,798,796,797,799,800,798,874,805,795,793,792,795,796,805,811,812,816,821,826,833,834,837,838,843,842,849,856,862,864,875,895,914,929,931,951,4501,4501,4501,49,91,106,110,111,112,117,128,127,122,119,117,116,117,113,116,127,136,142,141,137,2048,1015,882,865,854,847,835,824,814,807,796,767,1152,570,462,407,403,421,456,486,560,632,694,741,781,796,795,795,795,799,800,804,801,808,807,813,820,822,851,864,881,895,909,926,946,985,859,506,18,66,3,1,1,1,1,14,19,12,24,9,336,1,1,1,10,1,409,1,1,57,1,297,67,26,30,38,27,44,147,16,515,976,820,265,12,2808,3570,3878,3705,3567,3474,3337,2940,2525,2281,2083,1976,1960,1954,1884,1828,1722,1601,1498,623,573,560,531,540,571,582,678,1524,1845,1869,1954,1958,1960,1966,1972,1973,1975,1981,2135,2380,2794,3051,3199,3937,4501,2561,845,420,734,1213,596,29,21,24,61,1,53,16,1,209,35,51,1,464,1,423,1,1,43,288,1,1,8,2,6,24,31,9,89,1,1,1,1,35,13,78,426,719,819,880,887,851,833,822,811,805,798,801,798,801,795,794,792,794,792,794,780,737,691,642,641,691,725,776,792,797,805,806,807,810,813,814,819,829,842,851,858,864,875,886,900,1,29,116,80,106,121,120,120,120,121,120,119,116,114,113,113,115,117,121,122,113,70,36,4501,932,938,920,918,885,872,863,856,846,840,832,832,827,828,827,821,821,816,809,807,803,800,793,789,787,787,789,786,788,2165,1262,818,784,780,782,783,789,798,800,803,806,810,817,820,822,822,824,822,827,837,849,853,865,877,894,908,915,932,961,4501,1,118,123,122,119,117,113,111,108,106,108,110,113,115,117,120,59,511,917,937,913,900,889,884,877,865,855,851,840,831,821,817,812,811,808,807,807,805,800,795,791,787,765,727,715,727,771,794,795,796,796,798,799,803,800,807,810,807,817,815,840,856,878,886,902,918,949,964,866,643,15,4501,1,1,1,1,1,1,1,1,1,8,3,28,1,22,1,1,133,28,531,1,17,301,1,1,1,17,1,31,8,216,13,285,965,1430,556,1,1,4501,3404,3409,3403,3389,3305,2949,2596,2333,2179,2013,1978,1969,1965,1952,1912,1341,791,592,581,552,562,589,594,869,1660,1872,1922,1969,1977,1983,1987,1988,1992,1998,2130,2524,2857,3090,3223,4501,4501,4501,4501,4501,1,1,138,17,1,1,1,30,13,7,204,1,76,1,21,8,6,1,4,28,1,18,23,27,454,1,317,29,1,1,1,1,9,1,1,1,1,1,1,1,553,806,877,877,843,825,811,810,801,801,801,800,798,795,792,792,792,792,793,771,745,757,781,791,794,795,799,802,804,805,807,807,809,811,815,821,836,844,852,857,864,872,883,885,892,903,919,939,950,972,112,120,119,116,114,111,109,108,110,114,115,113,66,30,4501,4501,4501,798,867,900,914,906,870,858,853,851,837,824,823,820,818,814,811,807,805,799,792,787,785,778,773,770,768,768,768,768,767,803,759,760,763,762,764,766,771,779,783,786,791,798,802,804,807,811,817,820,822,830,844,846,849,857,879,898,916,925,941,963,4501,4501,4501,1,253,111,85,108,110,111,117,123,125,126,124,47,975,946,936,922,908,890,883,878,874,867,857,852,842,836,825,816,811,807,806,805,805,805,803,800,799,796,794,788,777,766,766,793,793,794,795,797,797,802,799,806,810,810,814,813,835,846,874,881,899,914,941,972,896,500,29,10,1,1,1,1,1,1,1,19,243,21,5,73,1,1,17,99,1,6,21,132,1,1,27,1,10,24,1,85,46,22,1,1,4501,69,511,4501,4501,4501,4501,4501,3739,3595,3506,3334,3068,2638,2366,2177,2020,1987,1982,1978,1972,1803,1436,661,599,579,584,603,604,1654,1962,1972,1982,1988,1995,1997,2002,2006,2012,2089,2518,2900,3120,4501,4501,4501,4501,11,48,158,23,4501,1,1,1,1,26,9,5,90,1,1,12,20,27,435,22,318,1,1,31,15,1,1,4,28,120,19,18,24,21,16,26,62,1,1,1,1,1,11,855,891,882,879,838,823,811,807,802,800,802,797,798,793,791,793,795,792,789,773,774,788,790,794,798,798,800,803,804,803,804,805,808,815,817,826,838,847,854,858,866,872,876,881,889,901,915,933,941,954,980,105,130,136,137,138,132,88,21,64,4501,4501,4501,4501,4501,4501,1021,1000,924,916,917,882,855,842,839,833,827,817,816,814,810,805,800,794,790,786,780,775,771,764,762,757,755,758,757,880,1326,736,739,746,751,751,752,756,759,767,772,773,777,784,787,792,797,804,809,809,815,816,824,830,838,850,862,884,896,907,914,926,844,4501,4501,4501,1,4501,1,1,131,140,140,139,137,95,508,962,958,941,932,920,905,890,882,877,874,866,861,855,846,838,828,819,815,809,806,806,803,803,803,801,797,796,794,792,791,787,780,786,795,794,792,797,799,801,801,807,810,815,814,813,831,851,865,887,894,915,931,870,905,405,96,9,1,1,1,1,1,1,1,1,1,1,1,1,14,24,24,1,1,1,1,29,1,24,146,31,303,13,13,75,1,12,53,29,1,13,30,146,426,4501,4501,4501,4501,4501,3414,3400,3248,2969,2569,2332,2167,2057,2015,2000,1994,1986,1872,728,613,594,599,618,620,1567,1954,1989,2000,2006,2009,2013,2017,2023,2076,2197,2630,4501,4501,4501,4501,4501,4501,1396,1646,1074,929,308,29,15,61,25,29,121,14,1,151,1,1,16,10,305,1,27,1,1,6,1,1,1,31,1,1,1,1,1,11,31,70,4501,1,1,1,703,777,876,906,895,885,877,839,822,810,810,805,805,801,797,799,792,791,795,794,791,786,782,787,790,790,794,797,798,800,801,802,802,802,806,810,815,821,829,840,845,853,859,866,872,878,882,892,906,917,930,936,950,968,991,1013,123,140,141,142,142,139,77,46,4501,4501,4501,4501,4501,1008,980,911,896,888,861,845,838,822,817,810,804,799,797,794,789,788,780,780,774,767,765,763,752,747,742,740,738,736,736,728,719,722,726,730,734,734,740,742,752,755,757,761,768,774,775,781,787,793,792,794,797,807,815,825,833,848,868,877,891,903,916,4501,4501,4501,4501,1,67,139,147,145,144,143,103,593,991,989,968,953,939,929,920,910,893,883,877,874,865,860,856,848,844,833,824,818,811,806,803,802,802,802,799,798,798,794,793,791,789,786,788,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