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1,609,604,591,592,589,583,573,572,570,569,565,559,558,551,549,545,545,546,549,541,521,501,499,527,547,547,544,547,547,551,557,558,561,563,571,572,573,576,582,587,591,597,607,623,628,617,605,651,1483,1911,2001,2024,2007,2346,2276,1714,1954,2816,3590,2362,1,1,1,1,1,4501,997,971,946,904,867,855,840,813,789,777,773,762,753,744,739,731,717,688,669,667,662,655,648,642,630,617,607,600,594,588,584,579,575,573,571,570,569,568,568,569,570,572,573,573,576,578,579,581,584,588,589,592,597,603,606,608,609,614,627,640,667,690,1913,1,129,129,129,128,130,808,807,820,839,850,859,866,895,912,939,996,1052,1101,1123,1192,4,1,41,16,1,5,30,50,4501,959,912,897,891,865,856,848,837,831,826,820,818,811,805,829,875,783,776,771,767,763,757,752,749,744,747,751,758,762,766,771,778,900,849,802,808,814,815,826,833,841,844,853,870,892,884,896,940,4501,520,263,110,29,4501,1,1,1,1,1,1037,1080,1021,957,919,910,882,864,854,845,822,813,815,808,2140,129,128,127,128,144,672,667,640,628,618,615,612,611,608,604,599,594,592,587,582,580,577,576,575,573,572,571,570,569,569,568,570,571,573,575,576,581,586,590,594,603,612,624,637,645,657,664,669,671,675,699,724,734,738,744,757,769,777,785,801,823,848,864,881,924,953,978,1024,783,265,1,1,1,1,1,4309,4247,3614,2184,2844,2084,2041,2012,1985,1375,774,603,611,626,619,616,596,589,588,585,577,576,574,571,567,560,556,553,553,550,548,549,553,549,528,503,504,534,554,552,549,547,553,555,557,559,563,567,573,575,577,578,584,578,580,599,619,626,622,611,608,652,1700,1934,2006,2035,2051,3425,2668,2773,2610,3356,3994,2265,1,1,1,4501,207,330,984,969,934,887,870,855,827,799,786,774,769,755,743,735,732,724,702,678,674,672,667,660,650,643,627,614,603,595,590,586,581,577,575,574,572,570,569,569,569,570,571,572,574,576,578,580,580,581,585,591,595,601,607,612,616,618,619,623,627,636,660,682,587,1,127,126,134,801,807,816,817,819,829,845,862,878,908,922,942,995,1068,1109,1140,192,1,1,4501,1,1,1,1,1,4501,955,909,906,887,869,857,843,834,830,823,815,813,804,798,902,782,774,769,764,759,758,752,741,741,736,737,743,749,753,759,763,769,772,1504,1008,798,806,807,817,825,834,833,844,855,876,876,908,915,969,774,385,199,76,21,1,1,1,1,1,1,1095,1039,963,934,920,892,868,845,833,825,824,820,809,804,777,3404,1,1,1,130,663,636,633,629,626,625,623,619,612,605,596,591,586,583,580,580,580,578,575,573,572,570,569,569,569,570,571,574,574,576,578,583,587,591,599,609,621,637,644,659,666,674,676,680,687,716,726,730,738,751,765,772,784,797,809,841,863,884,910,950,976,1019,819,457,1,1,1,1,1,4501,4342,3492,2686,2096,2587,2039,2024,1997,1380,610,606,618,621,625,618,597,591,586,587,582,579,577,575,570,562,561,558,557,553,552,552,556,549,528,506,505,537,555,554,550,553,555,559,561,563,567,572,577,577,578,580,588,588,589,600,617,621,630,638,618,934,1977,1993,2018,2045,2474,2744,2809,1722,1899,2870,2790,1907,28,1,1,1,1,4501,981,964,932,891,870,848,815,802,789,776,771,753,741,730,724,710,689,683,679,676,668,659,647,640,625,610,599,591,588,584,579,577,576,574,572,570,569,569,569,571,572,573,575,578,581,581,581,583,585,589,593,601,610,618,627,630,633,634,635,637,650,685,722,736,745,760,775,795,806,816,823,830,833,838,858,877,908,932,960,1003,1091,1135,1186,22,26,1,4501,1,4,86,22,72,4501,918,882,873,868,857,845,830,832,823,812,808,801,794,1725,787,769,763,757,752,747,745,740,732,734,726,727,733,738,742,746,752,756,762,1199,926,789,795,798,807,816,822,828,842,858,861,887,876,919,1261,4501,4501,30,28,4501,4501,1,1,4501,1,7,1100,1022,970,935,913,879,862,844,838,832,823,816,806,798,778,765,751,744,733,699,660,640,639,637,635,631,627,618,609,599,593,590,586,584,582,581,582,581,577,574,573,572,570,569,569,571,571,574,576,577,579,581,586,588,596,606,619,633,641,654,663,674,678,686,689,699,719,727,737,751,765,774,786,799,810,829,857,886,910,945,978,1019,927,498,62,1,1,1,1,2686,3214,2773,1492,1963,2328,2095,2033,2003,1991,742,609,636,635,632,618,609,591,585,582,587,581,578,579,575,569,566,562,561,558,554,555,560,553,532,510,514,542,562,560,556,558,561,563,566,567,572,577,580,582,583,588,588,598,602,610,614,624,637,626,610,1697,2001,2012,2040,2056,2670,3077,2430,2226,2092,2391,2436,548,1,1,1,1,1,990,990,972,937,891,864,845,813,795,784,772,767,752,738,730,719,700,693,685,677,673,664,653,641,635,619,606,595,588,585,580,579,577,576,574,572,570,569,569,569,570,572,573,576,581,583,582,582,583,585,587,590,596,603,611,622,629,634,640,640,642,650,681,721,749,751,759,776,790,799,811,819,828,837,841,852,869,894,921,964,988,1069,1123,1192,13,4501,1,1,4501,1,1,54,17,977,917,899,894,869,845,837,825,821,812,804,796,791,782,1270,1814,755,751,747,744,735,733,729,720,721,715,711,717,723,725,730,739,740,744,761,1719,771,778,787,797,802,814,816,825,836,855,869,876,945,1441,1,4501,1,4501,28,4501,1,1,1,1,1,83,1001,976,918,904,881,858,845,839,827,818,811,799,794,779,762,758,756,736,697,659,644,643,640,633,624,620,611,603,596,590,588,586,584,583,584,584,583,579,574,573,571,570,568,569,570,572,574,576,577,578,580,583,585,591,599,610,625,633,646,658,670,676,683,691,700,713,722,737,751,761,769,779,791,807,839,860,881,916,957,985,1022,927,492,187,1,1,4501,1,1,4143,3283,2975,2685,3133,2097,2050,2016,2007,1994,690,619,637,632,617,605,600,600,596,589,587,587,584,580,577,571,569,566,564,562,561,565,563,540,517,521,550,570,568,565,562,564,567,569,573,577,582,587,589,591,592,591,590,597,609,624,636,630,631,1254,1994,2012,2024,2048,2075,2297,2853,3153,2012,2237,2764,1168,1,1,1,4501,42,29,516,998,977,946,889,865,850,820,789,777,767,764,752,740,725,717,705,694,686,676,673,661,647,635,625,610,599,590,585,584,581,579,578,578,575,573,571,569,569,569,571,573,574,577,583,585,584,583,584,585,588,590,594,600,606,616,623,630,638,644,648,659,684,726,751,756,761,777,790,797,807,815,826,834,842,858,876,895,908,951,994,1035,1105,1162,134,1,1,4501,4501,1,8,61,43,1774,901,884,862,845,839,831,812,812,797,790,781,776,766,1193,763,738,736,733,726,719,718,711,706,708,705,700,701,711,713,717,723,732,730,737,754,823,765,769,781,790,800,809,821,834,851,849,918,873,928,4501,1,1,70,30,30,13,23,14,6,1,1058,1009,975,913,902,882,864,847,840,828,816,810,800,795,784,771,755,750,733,704,675,659,654,644,634,625,620,611,602,597,591,590,586,586,585,585,585,586,580,575,574,572,570,569,569,570,572,574,576,578,580,580,582,583,586,592,601,616,624,639,654,667,672,682,690,704,713,720,737,748,756,763,772,783,812,841,855,880,922,965,992,1026,1026,646,324,54,1,1,1,3878,4073,4231,3947,3779,3150,2134,2067,2042,2033,2018,736,629,632,630,632,614,601,595,592,594,594,593,592,586,580,575,574,571,567,565,565,570,574,553,527,528,563,581,575,574,569,573,577,578,582,586,590,596,594,587,592,598,608,617,624,625,633,643,639,640,2015,2041,2041,2067,2153,2763,2585,2054,1943,2611,2100,612,16,1,1,1,1,1,42,993,979,945,886,850,835,814,786,771,757,752,744,733,720,717,706,691,682,671,666,657,640,624,615,601,592,586,583,583,582,582,579,578,576,573,571,570,569,570,571,574,574,578,585,587,587,586,586,587,589,591,594,602,610,620,627,637,648,663,670,684,707,729,747,752,767,784,794,800,807,814,821,835,847,863,876,916,940,973,1005,1067,1125,240,1,1,6,5,1,1,2,1,1,1948,868,851,844,844,826,814,799,792,779,775,761,759,746,816,724,725,721,711,708,707,703,694,694,693,690,688,686,691,698,702,708,713,715,718,994,740,745,751,764,773,783,789,800,816,867,839,1477,864,1288,4501,1,1,1,91,31,1,4501,4501,1,1,1107,1062,999,957,944,916,873,858,849,830,811,805,800,798,791,779,761,752,737,719,703,684,679,664,650,637,632,619,608,599,593,591,588,587,587,587,588,587,581,575,574,572,570,569,569,570,573,576,578,580,581,582,583,584,585,589,596,608,616,634,652,662,667,677,689,705,715,719,726,735,744,752,769,784,798,817,833,869,912,952,982,1010,1065,830,448,222,18,1,1,1,4382,4139,3457,3014,3063,3135,2101,2066,2043,2041,1292,657,649,653,640,621,619,615,610,597,593,594,597,593,588,582,579,579,576,572,574,579,582,562,535,535,568,586,579,580,573,578,580,585,586,589,597,600,605,606,602,614,614,619,628,653,659,652,649,1889,2035,2049,2067,2088,2524,2998,3091,2571,2116,4501,3028,1111,1,1,1,83,30,861,1012,979,960,914,864,823,812,797,783,760,747,743,732,724,721,714,706,694,674,664,660,652,633,618,609,597,589,587,584,584,583,582,581,579,576,573,572,570,569,570,572,574,575,580,587,590,589,588,589,589,591,594,600,612,623,637,645,656,668,681,690,702,716,732,756,765,778,789,792,794,800,812,829,850,858,884,910,944,964,1016,1064,1103,269,1,1,1,1,1,1,4501,1,4501,4501,1363,852,844,835,849,809,795,782,776,765,754,746,737,729,1203,713,706,704,704,699,690,691,687,683,684,676,673,678,682,680,687,693,699,700,695,718,1043,721,731,740,753,760,769,782,793,1656,821,1698,1492,1219,4501,4501,4501,1,1,150,36,4501,1,1,1,1,1,909,1016,990,935,903,881,869,843,825,810,797,790,782,781,774,769,756,729,708,694,688,677,667,660,655,642,622,607,596,594,592,591,590,591,591,588,581,576,573,573,571,569,570,570,572,575,578,580,582,584,585,585,586,589,594,603,610,628,644,653,658,666,687,710,715,717,722,731,740,747,758,774,786,806,815,845,884,927,957,990,1024,1074,686,370,159,18,1,1,4501,2971,2089,2395,2248,3046,2302,2092,2067,2051,2038,1370,661,656,645,644,625,617,616,614,612,609,610,603,599,596,592,589,584,581,584,585,592,573,545,546,579,595,587,585,585,588,589,592,594,603,610,611,611,612,616,617,634,642,649,655,663,653,850,2034,2056,2075,2089,2113,2595,2812,2100,1518,1078,686,1,1,17,27,37,23,27,1028,992,957,932,886,833,815,801,780,766,755,749,744,730,719,715,715,711,687,664,656,651,643,628,614,606,596,589,587,586,584,584,583,582,580,576,572,570,568,568,569,571,573,574,579,585,592,591,590,590,592,592,595,602,618,637,655,661,667,674,683,691,708,733,756,767,771,773,780,791,801,813,826,841,869,880,899,933,1001,1029,1059,1092,1045,15,51,19,1,5,48,36,39,4501,2311,2298,1184,851,826,810,799,790,777,763,755,746,732,729,718,715,698,689,693,692,685,682,676,674,668,667,670,665,662,657,664,673,673,680,683,688,690,694,699,699,714,728,735,745,756,763,777,1238,804,2034,1531,1175,1834,4501,4501,1,4501,1,352,25,30,1,1,4501,1,1063,1044,1028,986,933,894,883,855,835,819,807,802,789,774,767,764,759,750,728,704,693,677,672,667,665,651,625,610,597,594,593,593,593,593,593,589,581,576,574,572,570,569,568,569,571,574,579,580,582,583,585,584,587,589,595,604,610,626,640,649,653,661,679,706,713,712,714,727,741,749,755,758,769,788,805,827,842,898,934,977,1005,1056,788,417,216,88,1,1,1,1,2069,1849,2001,2837,2326,2113,2093,2069,2051,2045,682,658,661,649,640,637,632,613,617,614,614,614,607,603,598,597,593,589,590,592,600,586,559,560,592,602,595,597,596,600,604,609,610,616,620,624,625,625,621,632,640,652,659,665,667,755,2049,2062,2080,2097,2123,2150,2791,2802,1911,1582,4501,1,1,1,1,20,13,21,1069,1007,974,934,895,847,828,802,787,771,758,751,744,741,731,717,709,708,707,687,661,654,650,642,630,617,610,599,591,587,585,584,583,583,582,580,576,572,571,568,568,569,572,574,575,579,586,593,596,596,595,595,595,596,605,622,639,661,671,674,677,689,705,732,748,755,757,762,773,788,796,805,818,833,850,877,901,944,975,1023,1051,1077,1134,161,23,1,1,1,15,52,4501,1,4501,2573,4501,1352,1207,950,793,787,766,755,742,738,730,714,705,700,685,685,671,673,676,673,666,657,659,650,656,655,649,650,641,644,648,656,662,666,667,664,666,683,691,690,708,713,729,735,746,756,770,889,1671,1669,1853,1466,2484,1,4501,4501,4501,1,1,1,4501,1,1,4501,1,29,1036,1014,969,929,909,868,843,825,810,802,793,781,767,759,756,756,741,717,701,682,679,675,670,652,628,612,600,597,596,597,597,597,595,588,582,576,575,573,570,569,568,570,572,576,579,581,581,582,581,582,585,590,597,608,615,628,638,646,650,658,670,700,704,706,714,726,736,739,746,753,766,780,792,826,844,862,892,950,993,1026,1057,589,306,149,34,23,1,4501,4501,1861,1013,752,1541,2140,2230,2243,2084,2070,689,677,674,656,656,649,642,634,623,628,628,625,619,615,612,609,606,601,603,600,606,596,568,571,605,613,607,605,606,612,614,617,619,626,631,632,632,635,643,649,655,656,663,683,685,687,2058,2083,2219,2376,2183,2596,2823,2531,1177,87,20,1,4501,11,5,30,18,26,1042,1002,960,892,875,856,816,790,782,770,754,745,741,736,727,716,706,701,695,672,661,651,646,637,630,620,613,601,591,585,581,580,579,580,581,580,576,572,569,568,568,570,572,573,575,579,583,592,598,599,598,598,598,599,607,624,643,667,676,680,684,692,711,736,752,760,759,763,778,792,803,804,819,840,865,900,919,963,1001,1051,1071,1111,409,16,1,1,1,1,1,1,4501,4501,4501,4501,3412,1688,2098,1644,1771,763,752,737,723,722,710,700,682,684,661,656,666,661,656,650,648,642,636,631,644,643,636,636,627,632,637,638,648,655,656,654,657,658,668,668,681,692,708,715,721,738,754,829,1442,1601,1142,2166,2378,4501,4501,1,4501,1,1,4501,1,1,4501,1,1,771,1061,1030,975,936,912,877,842,821,807,805,796,780,768,763,763,758,746,717,701,689,686,680,676,652,629,613,602,600,599,600,601,600,593,586,580,576,575,573,570,569,568,570,572,575,580,581,581,580,580,581,584,589,597,611,615,625,632,640,645,660,668,680,696,700,713,723,732,737,746,753,764,779,788,803,832,872,890,923,986,1025,1080,830,431,216,56,51,20,4501,4501,1,1,4501,2106,2473,2345,2568,2198,2091,2077,695,690,681,666,658,647,647,639,640,633,635,633,626,625,619,616,612,610,612,618,609,586,586,619,618,615,615,617,623,630,635,635,638,639,643,640,642,650,666,671,673,682,697,1964,2094,2103,2115,2253,2390,2316,2897,3081,3002,1126,52,4501,1,1,98,59,29,23,76,1025,1004,934,907,890,842,807,793,784,769,759,746,739,736,724,713,702,695,683,674,666,646,639,631,625,617,613,600,591,583,581,579,578,579,580,580,576,573,570,569,568,570,572,574,575,580,583,590,598,600,603,601,601,603,609,626,646,671,681,688,693,700,712,739,755,763,764,765,773,788,801,807,816,833,858,894,914,955,993,1040,1059,1116,272,20,94,25,1,4501,1,1,1,1,1489,2333,2212,1838,800,761,747,746,733,717,706,705,690,684,663,659,659,653,650,652,652,644,638,630,629,625,635,632,626,630,623,625,627,631,634,639,646,649,650,643,644,657,671,682,695,699,706,722,732,801,752,768,794,945,1779,2212,2570,1951,4501,4501,1,4501,12,1,1,1,1,1052,1037,1010,954,918,899,861,832,818,808,803,789,776,766,768,765,758,749,720,708,697,694,688,681,661,632,617,605,603,602,603,602,599,591,585,580,577,575,573,571,569,568,569,571,574,578,580,578,577,577,578,581,586,595,607,612,621,626,633,636,652,672,681,689,695,709,718,732,740,749,756,767,781,795,811,826,861,905,935,974,1034,1085,1015,449,188,45,21,13,1,1,1,1,1,3999,3634,2395,2383,2418,2226,2097,2094,704,697,679,672,663,651,650,649,647,647,643,638,636,632,628,623,622,622,624,622,602,604,635,632,629,627,630,636,637,641,645,652,657,652,660,659,657,676,686,696,699,1343,2104,2105,2115,2235,2396,2260,2339,2961,2568,997,4501,4501,1,1,50,10,1,4501,1,1144,1055,1006,959,919,881,848,822,800,790,775,765,751,738,731,723,711,700,694,685,665,648,635,632,628,623,615,609,598,587,581,577,576,577,578,580,580,576,572,570,569,569,570,573,575,576,579,583,587,595,599,603,603,604,605,612,629,648,673,687,695,702,708,718,742,756,764,768,767,769,783,796,803,813,827,845,877,897,934,971,1017,1034,1095,536,59,25,4501,7,1,4501,4501,1,315,1659,928,2084,1015,796,1720,804,725,718,701,692,691,676,670,659,643,642,643,642,637,631,621,616,612,610,614,622,622,608,616,610,603,611,615,614,617,623,634,630,630,631,649,655,669,681,690,696,710,720,720,730,756,1910,1210,1142,2455,2806,2111,9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