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1,35,32,66,1,1,1,1,6,10,10,35,1,1,1,22,6,6,20,17,23,4,9,34,1,4501,4437,3966,2691,2255,2118,2110,955,1647,758,1814,692,682,686,681,680,676,672,669,665,661,654,650,646,642,638,636,635,633,627,398,101,93,95,104,98,92,90,90,91,93,96,96,95,96,100,100,102,107,144,968,595,121,145,630,709,740,766,786,800,807,813,817,820,821,823,824,826,826,825,827,827,828,828,831,832,835,848,861,884,904,930,951,28,38,72,71,71,46,318,618,774,850,886,870,856,855,844,833,825,820,810,801,792,791,786,781,776,772,770,763,760,755,752,753,747,745,740,736,738,740,744,747,749,751,754,761,767,770,775,781,786,789,795,803,810,816,823,833,843,846,859,874,896,924,951,979,45,70,71,71,69,21,284,910,900,880,852,846,837,836,834,832,832,831,832,834,834,834,835,834,833,832,830,824,819,809,785,759,722,137,120,142,696,250,144,106,101,100,99,97,95,96,95,95,92,90,89,92,95,101,103,93,95,219,625,637,637,638,643,648,655,658,663,667,675,678,681,685,690,695,697,700,705,709,854,719,1815,1500,2111,2145,2149,2169,2189,4501,4501,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,29,38,39,45,51,58,65,68,75,80,83,90,99,104,115,141,160,182,187,131,135,113,101,95,1,1,1,1,1,1,1,1,7,6,35,35,32,29,1,1,1,1,1,1,1,1,1,1,1,2,6,1,1,11,16,14,19,10,1,23,25,4501,4501,2264,2231,2222,2189,2176,914,1445,788,1147,726,723,718,712,710,704,696,694,690,682,675,669,665,660,655,648,641,641,639,560,112,93,92,109,100,93,91,89,90,94,96,97,97,96,100,101,101,103,105,116,152,401,422,126,133,1,759,768,830,839,845,845,848,847,845,845,839,838,841,840,840,840,839,838,840,843,856,869,882,900,929,943,1,25,74,73,72,35,217,558,731,871,874,857,845,838,828,818,812,809,802,791,784,778,776,770,766,760,758,755,749,746,743,740,738,734,730,726,729,731,736,738,742,742,748,754,757,761,769,772,774,779,786,796,801,807,815,823,831,839,850,861,890,910,938,984,64,71,71,72,69,21,904,921,894,878,861,853,845,841,840,840,841,839,841,840,842,846,847,850,852,854,861,865,848,831,797,1,10,152,1,263,123,107,105,102,100,99,97,96,95,96,95,94,91,89,90,94,96,105,99,94,97,319,638,644,645,648,653,662,671,674,681,690,696,701,708,714,721,723,728,733,740,744,750,931,1805,2012,1581,1960,2150,2279,2294,4501,4501,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,6,1,1,14,21,21,46,58,70,64,70,79,83,87,94,107,119,1,1,1,1,1,1,113,1,1,1,1,1,1,1,1,1,6,45,40,35,31,1,1,7,5,20,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4501,1,1,4501,765,1278,1797,2005,1288,1453,910,1192,763,761,756,745,744,734,728,722,720,708,699,689,681,675,667,658,648,644,645,625,182,93,91,108,99,93,91,89,89,92,95,96,96,95,97,99,100,101,102,103,104,109,136,674,894,115,117,4501,833,847,860,859,854,853,849,846,844,841,841,840,840,839,840,841,840,846,861,868,876,890,916,938,369,31,73,72,72,69,18,1033,998,924,871,840,831,825,819,808,800,794,788,781,776,768,767,763,755,752,748,744,738,735,731,729,726,723,719,715,719,723,725,728,729,734,735,743,747,751,755,762,765,770,775,784,791,798,807,814,824,829,841,855,879,901,976,1,72,73,73,73,45,4501,926,907,889,873,864,858,845,840,838,840,841,838,839,839,841,842,844,845,847,849,841,833,824,1421,111,125,767,1631,173,105,103,103,102,101,100,98,96,95,95,95,95,93,90,89,90,94,96,106,93,93,100,481,646,648,650,656,665,675,685,693,703,712,724,732,737,745,753,760,762,774,780,786,899,990,1307,1416,1087,980,966,982,930,697,379,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,7,1,1,1,3,3,1,16,13,26,30,41,1,1,1,1,1,1,1,1,1,1,1,159,100,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,9,14,1,11,6,1,8,18,1,11,1,2,30,1,3,1,3,1,4501,26,14,261,579,761,866,926,1065,1446,799,800,791,777,777,763,760,753,747,733,720,710,698,690,681,669,656,652,651,644,255,96,93,99,102,94,92,90,89,91,95,95,96,97,99,100,101,102,103,105,103,104,109,194,1,4501,2326,114,114,1,821,832,837,840,838,837,838,837,836,834,834,834,835,835,836,844,858,863,866,877,897,913,926,1,25,74,74,74,40,1,1056,963,877,831,819,812,801,798,787,780,775,766,760,755,749,746,739,734,732,727,724,722,722,716,714,708,704,699,701,704,708,709,713,716,717,727,727,729,735,741,743,751,755,762,773,777,785,795,808,808,819,831,854,4501,4501,1,39,76,76,71,4501,1244,891,879,869,860,856,851,839,827,827,828,828,827,826,826,825,825,826,823,818,814,806,1,1,1,1,1,1,110,108,104,103,102,101,100,99,98,95,95,95,95,94,92,90,89,91,94,96,112,91,94,107,596,653,653,657,661,675,687,702,709,723,737,748,758,762,772,781,787,793,810,816,830,871,882,906,928,959,978,920,822,471,1,1,1,1,1,1,1,1,1,1,1,1,21,7,16,25,1,1,1,1,1,30,10,11,1,13,1,1,1,1,1,1,1,1,6,1,1,1,1,1,1,1,1,1,1,153,84,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,6,1,1,12,19,28,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,721,877,840,934,960,942,940,842,836,830,813,810,793,784,779,773,758,744,731,715,707,692,677,663,655,654,650,495,97,92,93,103,94,93,90,89,90,93,94,95,95,95,97,98,99,100,102,102,104,106,106,106,109,113,111,111,111,116,1,1,1,64,811,816,817,818,818,819,821,822,822,828,844,852,852,857,861,874,885,902,925,1,75,76,77,76,37,4501,2053,1099,828,812,805,794,786,781,774,766,758,754,747,743,738,735,730,729,723,718,715,712,710,708,702,700,694,698,702,702,706,710,714,717,721,724,729,733,740,742,749,754,759,769,772,780,788,798,805,814,832,1084,1,28,78,77,76,74,28,865,886,867,862,859,853,848,846,839,819,811,811,809,808,808,805,802,794,781,769,744,1930,121,109,107,107,106,106,105,105,107,106,103,101,101,100,98,97,95,94,95,94,93,91,90,89,91,94,95,110,91,95,166,636,657,658,664,670,685,701,717,706,685,682,686,692,698,705,713,719,726,772,1000,1280,4501,4501,4501,4501,4501,4501,4501,4501,4501,1,4501,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,20,73,72,74,74,80,86,90,92,99,101,107,108,108,123,137,160,135,75,21,1,1,1,23,44,62,59,70,42,43,35,1,1,1,1,1,1,8,31,25,20,15,1,1,1,1,1,12,21,19,21,2,8,11,3,1,1,11,19,26,25,1,1,1,1,836,699,818,914,922,4501,977,1033,1298,888,842,826,816,803,793,776,756,744,725,715,696,679,661,648,645,619,557,107,98,97,109,99,96,93,92,93,95,95,96,97,97,98,100,100,103,104,105,108,114,111,110,107,107,109,110,111,113,137,195,199,190,175,179,195,222,469,928,1263,1328,1486,1691,1873,1991,2062,4501,1565,4501,4501,4501,4501,1,76,82,82,83,83,83,77,1715,1478,966,820,772,750,744,729,724,726,719,712,706,710,702,703,700,696,683,675,679,678,677,675,665,655,655,656,659,659,660,658,667,672,664,646,637,633,633,635,638,641,642,644,645,646,648,646,641,624,1,1,88,87,89,93,96,100,103,105,108,108,110,113,116,117,119,124,129,138,141,145,149,155,159,181,204,225,182,133,116,114,113,112,110,109,110,114,116,112,108,106,105,104,102,101,99,98,98,97,96,95,94,94,97,100,102,109,97,110,244,506,601,614,615,621,632,640,650,659,668,680,691,703,718,742,825,871,954,1160,4501,4501,4501,4501,4501,4501,4501,4501,4501,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,2,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,12,11,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,9,14,24,5,1,1,4,47,43,43,42,38,36,33,18,14,15,14,14,40,31,23,17,9,11,1,1,1,8,4501,4501,4501,4501,4501,4501,4501,4501,4501,4501,2209,2013,2044,1877,1653,1404,1245,1022,884,795,738,701,673,646,622,611,605,605,581,178,102,98,110,100,99,96,94,94,96,97,98,98,99,99,102,102,104,106,107,110,117,115,112,109,110,112,113,113,114,118,132,200,374,498,571,606,570,436,283,183,168,149,135,127,122,120,117,115,112,111,108,105,102,99,97,94,91,91,91,115,386,489,561,602,629,639,645,647,648,646,643,641,639,637,634,630,627,626,624,621,620,618,616,612,613,627,613,606,604,604,603,603,606,611,617,619,623,626,629,632,635,640,643,646,647,651,656,659,663,664,659,4501,4501,4501,4501,1962,1835,1554,1301,1086,925,841,790,757,736,724,718,712,706,700,696,695,692,686,682,678,672,658,130,119,115,113,113,112,110,109,110,114,117,111,108,105,104,103,101,100,98,98,97,97,96,95,94,94,97,100,101,102,98,121,278,526,607,618,621,627,634,645,657,665,675,689,707,722,741,783,824,811,809,947,1307,4501,4501,4501,4501,4501,4501,4501,4501,4501,4501,1,4501,1,1,1,1,1,1,1,1,1,1,1,19,8,4,1,1,8,3,18,32,39,43,45,46,47,52,56,57,59,65,67,69,71,76,79,81,83,89,94,93,105,121,140,152,108,107,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,10,13,11,12,1,1,1,1,1,1,1,5,26,25,10,1,1,1,1,4501,4501,4501,4501,4501,4501,4501,4501,4501,2069,1997,2202,1849,1540,1398,1168,1110,1035,956,859,799,750,710,674,649,636,626,631,631,618,206,102,97,103,98,98,96,93,94,96,96,96,96,97,98,100,101,102,104,105,108,113,114,112,109,108,110,112,113,114,116,136,304,595,669,680,686,690,695,699,703,704,710,718,723,728,734,738,741,744,748,752,754,758,762,765,766,756,740,730,722,715,709,705,699,693,687,681,677,673,669,663,657,651,649,644,639,635,635,632,628,627,625,620,617,617,608,610,613,615,618,620,622,625,626,628,629,632,635,639,643,646,650,652,657,660,662,667,672,679,683,689,692,696,702,721,734,741,744,743,741,737,733,732,730,727,723,720,717,708,690,687,684,678,675,672,667,660,643,486,133,115,114,112,111,110,110,111,115,116,110,106,104,103,101,100,99,97,96,96,96,96,95,93,94,98,98,98,98,97,154,341,596,631,632,630,636,647,663,678,691,701,715,736,780,839,887,971,950,915,1065,1309,1617,4501,4501,4501,4501,4501,4501,4501,4501,4501,1,4501,1,1,1,1,1,1,1,1,1,1,1,1,1,5,7,9,14,22,7,1,22,17,35,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,7,15,24,1,16,1,1,20,1,6,14,11,1,1,2,1,5,1,1,1,8,1,1,1,1,1,1,4,7,1,4501,4501,4501,4501,4501,4501,4501,4501,4501,4501,4501,4501,2107,2011,2172,1833,1749,1451,1155,1031,935,856,803,761,733,701,675,651,635,632,631,625,619,328,107,97,99,97,98,97,94,94,96,97,97,96,97,98,100,101,101,103,104,106,109,112,112,113,118,116,113,114,124,190,581,633,647,655,661,667,673,678,682,689,693,704,710,714,717,723,723,727,733,736,738,740,743,747,750,753,749,736,726,719,712,704,696,691,683,676,673,669,663,659,652,646,641,637,632,628,628,626,621,618,617,615,614,609,611,598,600,601,603,606,608,611,611,614,617,617,618,623,627,630,633,637,642,645,649,653,657,662,667,672,678,684,689,698,716,728,732,732,731,727,723,720,714,711,705,701,700,698,692,683,675,666,661,654,653,649,644,636,629,617,591,355,193,153,142,128,121,118,114,107,105,103,103,101,100,99,97,97,97,98,97,96,94,95,98,98,98,97,98,179,338,584,629,633,637,635,643,656,662,676,686,700,713,726,734,740,752,779,830,992,1460,1615,4501,2191,4501,4501,4501,4501,4501,4501,4501,4501,4501,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,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