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6,536,541,534,519,495,497,526,541,537,535,535,538,542,546,548,551,554,561,562,563,567,571,575,577,586,607,619,620,608,588,892,1938,1925,1961,2004,2178,3261,1964,1,1,1,72,1,1,1,1,1,1,1,401,984,956,916,873,863,844,820,790,780,774,764,752,745,740,729,717,685,666,664,660,653,646,639,627,614,605,597,592,584,581,576,573,570,569,568,566,567,567,568,569,571,575,577,581,583,584,586,588,591,592,594,597,601,608,611,615,619,630,639,652,676,694,710,720,737,776,792,793,791,800,1695,1129,1301,2253,2541,141,146,150,151,152,137,59,8,203,218,91,29,14,20,1,4501,75,992,935,916,906,870,864,852,839,834,827,822,818,813,1691,2191,2183,1800,1924,836,1236,971,1416,750,747,740,743,756,920,1154,1431,1896,2104,2167,2188,1090,808,814,816,824,833,838,843,850,869,890,885,926,954,1,1,4501,1,1,1,226,226,117,141,156,156,155,154,143,1,1,2310,2240,853,847,834,815,798,785,782,780,752,727,715,696,677,665,650,643,628,618,614,611,603,597,594,591,590,588,586,585,584,582,579,576,572,570,568,567,566,567,567,569,570,572,573,578,583,586,591,599,609,621,633,642,653,661,666,667,674,699,723,734,738,744,758,770,775,786,800,828,857,870,897,930,966,988,1046,789,414,15,1,4501,1,1,1,4501,1525,776,1721,2113,2018,1968,1952,1728,1432,574,601,615,619,611,580,578,580,576,565,565,565,561,557,549,549,543,546,541,539,538,541,543,525,497,498,531,550,544,539,539,542,545,548,550,553,556,564,563,566,566,573,564,565,586,613,620,611,603,592,726,1918,1953,1966,2011,2377,2888,652,716,1539,2112,2516,1,4501,4501,1,1,1,1,996,980,945,894,874,859,828,801,787,774,769,757,744,734,731,723,702,676,670,669,663,657,645,638,623,611,600,591,586,583,579,574,573,570,569,568,566,566,566,567,570,571,574,579,582,584,584,586,588,590,592,594,597,601,607,614,619,626,641,651,663,674,685,711,728,746,771,775,778,795,814,824,832,859,1371,2024,2161,2299,4501,1,1,157,158,160,160,113,120,211,215,192,148,101,1,4501,913,887,874,882,856,838,842,832,822,816,813,807,2109,2180,1731,966,1535,844,1337,1232,972,739,737,736,736,1005,875,985,1373,766,2017,1428,2176,2187,920,806,810,819,827,826,826,844,1474,2155,1,1,221,211,199,168,105,35,110,165,167,166,164,161,154,70,24,337,998,1275,1698,2123,1958,1504,822,815,803,782,774,768,755,737,721,688,680,672,660,652,633,623,615,609,603,599,596,593,591,588,587,586,586,584,581,577,572,570,569,567,566,567,568,569,571,572,574,577,581,584,588,596,606,619,632,640,655,664,670,674,677,684,714,725,728,738,749,765,773,785,798,814,850,867,888,919,959,985,1029,784,409,1,1,1,1,1,1,1,1,1,1585,891,2020,1989,1958,1956,672,596,616,610,617,611,587,578,573,568,571,565,564,564,559,554,550,548,547,543,543,540,543,544,526,502,501,530,551,546,542,543,542,548,550,551,556,563,566,568,567,571,573,583,583,589,605,605,622,626,600,1805,1948,1949,1994,2015,2151,1432,1,383,1,949,326,1,1,1,1,4501,1,4501,993,976,935,898,873,852,819,803,790,776,770,751,739,728,723,707,687,680,675,672,664,655,642,635,621,606,595,588,583,580,576,574,572,571,569,567,566,566,567,568,570,571,574,579,584,586,587,588,589,592,594,597,601,602,606,611,622,630,642,655,673,681,688,702,724,754,769,779,780,793,811,822,830,1409,1765,2261,1956,1176,1007,1039,999,16,19,143,165,171,173,175,172,107,27,9,9,1,236,237,237,234,209,216,221,242,1,177,803,1993,2170,2169,1444,2001,1037,777,1547,1730,739,730,729,725,723,895,779,739,1429,885,756,1072,2161,2171,2008,797,801,1934,238,220,216,206,218,228,231,232,233,210,159,183,184,182,179,173,163,96,44,14,4501,1,1104,1028,981,1286,2106,2210,1351,838,828,809,794,783,783,771,761,721,704,692,685,672,654,644,632,621,610,608,605,601,599,597,595,593,589,588,588,586,582,577,573,571,569,567,566,566,567,568,570,572,573,575,579,582,585,593,603,615,630,638,649,660,670,674,682,686,696,716,724,736,748,763,776,787,798,812,834,858,889,914,949,986,1023,851,288,48,1,1,1,1,1,1,1,1,1490,12,2192,2009,1961,1959,1959,661,608,630,613,599,598,577,579,574,570,569,570,567,564,559,554,552,549,547,546,544,548,546,529,507,508,536,556,551,550,545,547,551,553,557,561,567,570,572,575,578,574,584,592,603,601,627,630,605,595,1959,1966,1982,2014,2031,1599,1,1304,128,1,1,1,1,4501,1,1,1,1,896,995,976,939,894,871,846,816,798,785,773,766,752,737,726,717,697,691,683,675,671,661,649,638,632,615,603,592,585,582,578,575,574,573,571,570,568,567,567,567,569,570,572,575,582,586,588,588,591,592,597,598,599,601,604,608,611,616,629,637,645,665,684,695,699,708,741,767,781,787,788,816,970,837,843,2218,2117,1385,1042,998,1041,1130,166,1,1,1,22,19,109,182,189,191,192,197,212,230,228,221,206,206,215,218,246,815,795,793,907,2158,2157,1874,789,748,739,755,731,723,722,721,712,711,711,720,725,730,1260,810,1926,2140,2154,886,278,241,226,228,220,215,207,199,213,217,215,209,205,210,212,207,180,145,105,55,27,14,12,1,4501,1067,1044,1069,1991,2098,2262,1240,1057,1080,1077,793,788,784,769,748,714,708,702,691,662,643,637,631,618,609,604,597,596,600,601,601,597,593,590,590,587,584,578,573,571,570,567,566,566,567,569,571,573,574,575,577,580,581,586,595,606,621,629,642,655,667,671,680,691,697,709,718,735,748,760,768,779,790,806,839,861,885,921,962,992,1030,903,382,41,7,1,1,1,1,1,1,4501,2053,3451,2252,2033,1995,1975,1970,1835,615,628,627,616,592,595,590,586,578,579,577,574,569,564,560,558,553,551,551,553,556,559,538,514,518,550,565,555,558,552,557,559,560,562,567,572,579,577,577,577,584,584,583,595,622,619,614,609,1824,1962,1986,1996,2027,2060,3222,1479,101,1,1,1,1,1,1,1,1,1,4501,1,1,982,949,888,866,851,821,787,776,767,763,750,738,725,715,701,691,682,672,669,657,642,629,620,606,595,586,581,579,577,576,576,574,572,569,568,567,567,567,569,572,571,577,583,587,589,590,593,596,600,602,600,595,592,592,598,609,622,624,620,622,647,669,679,683,679,1065,2071,2112,2112,2099,2087,2099,2090,2697,3176,1,1,1,1,1,187,199,207,205,204,206,224,227,210,224,227,225,215,215,213,204,199,206,214,219,227,225,231,245,2023,2136,2136,905,742,730,725,722,721,726,706,710,685,685,688,689,696,696,393,322,321,339,336,338,284,246,224,224,218,217,217,225,150,1,1,1,1,1,1,1,1,1,8,127,167,178,169,167,172,208,231,257,268,281,303,318,329,345,369,382,390,397,410,427,452,459,483,502,525,561,572,599,589,576,573,583,590,596,602,603,599,594,591,589,589,586,578,574,572,570,567,567,567,567,569,571,573,575,576,577,578,580,582,589,597,613,621,636,652,667,670,680,688,700,712,717,735,746,755,762,773,783,809,841,856,880,924,968,995,1030,1081,613,292,68,20,1,1,1,4310,3974,2695,2648,3734,2476,2061,2022,2006,1996,1972,630,619,618,611,612,581,574,573,583,581,579,581,577,570,564,562,562,558,553,557,560,567,551,524,526,560,573,563,564,560,562,568,569,571,575,580,582,583,578,578,578,596,590,610,618,629,615,630,1755,2009,2015,2026,2054,2273,3332,1412,1940,1794,2460,1787,12,4501,1,1,1,1,1,1037,1000,985,942,884,848,836,811,785,769,757,749,743,729,717,713,702,687,676,668,663,652,634,621,610,596,586,582,580,579,578,576,576,575,572,569,568,567,566,566,569,572,573,577,585,589,589,590,593,596,602,604,600,591,585,579,575,580,589,602,610,613,606,567,635,625,657,2083,2151,2089,2121,1749,2194,2220,2234,2267,2285,2276,1686,1313,1200,1175,315,15,28,13,55,57,49,31,19,1,1,2320,1934,1549,1069,1928,816,801,1934,780,527,288,270,276,309,328,325,314,327,392,672,662,665,676,680,671,669,608,488,453,454,468,364,325,317,319,328,345,351,382,425,408,502,635,710,730,1031,1134,2127,2347,2898,1,1,1,1,1,1,205,201,197,193,23,1,45,1885,2336,2222,2200,2187,2183,2181,2170,1949,778,773,774,770,742,726,721,716,703,683,658,647,620,601,587,585,588,593,599,604,603,596,593,590,591,589,587,579,574,572,570,568,567,567,568,569,572,575,577,578,579,580,580,582,585,591,605,611,629,648,658,663,672,683,699,713,716,723,731,742,750,765,781,795,817,828,870,913,960,986,1020,1075,698,156,45,23,12,1,1,1,3487,1784,127,1,83,2177,2042,2011,1999,2012,642,634,640,632,609,598,593,590,581,584,587,587,579,575,572,569,567,566,561,565,566,576,562,534,532,564,578,568,566,562,566,568,570,574,579,583,590,587,586,582,598,612,614,624,633,639,647,1832,2001,2009,2032,2045,2643,3224,3173,1,1,1,4501,1,4501,1,4,1,4501,1,1081,1018,983,965,924,861,823,811,797,779,759,744,739,729,723,718,711,702,687,669,658,655,646,630,611,604,592,586,582,581,580,579,579,577,576,572,570,568,566,566,567,569,571,573,578,585,591,590,591,591,594,598,601,605,601,596,595,599,610,626,652,667,690,705,720,724,721,728,825,757,942,1705,2125,2155,2162,2163,2152,2166,2247,3200,3425,3480,1824,1,1,1,1,1,7,1,1,1,1,1,1,1,1,1,21,796,786,1214,1191,772,749,1299,1071,1616,2045,497,403,387,392,417,449,450,465,550,604,638,623,620,640,650,654,666,671,675,711,2021,2075,2082,2049,2107,1996,1917,1265,830,1013,2015,1981,2141,1880,2255,2713,2273,1,1,1,1,1,1,1,27,4501,4501,1,1,113,597,1398,2250,2099,1081,924,825,827,797,786,777,766,746,742,736,725,702,683,673,647,628,615,611,608,606,607,600,598,593,592,591,591,591,587,580,574,573,570,568,567,566,567,569,572,576,577,579,579,581,581,582,586,590,598,606,622,638,648,653,661,677,706,710,712,718,726,737,743,754,771,784,799,813,838,884,923,959,992,1029,1084,450,110,30,27,26,26,1,1,1,1,1,1,1,2535,2094,2025,2016,1947,637,652,649,623,621,621,612,595,595,594,593,594,588,584,580,578,572,569,573,574,583,572,545,548,577,588,580,577,575,578,577,580,586,593,598,599,602,605,606,609,608,614,631,645,637,648,2014,2015,2037,2944,2352,2372,2798,2460,130,11,9,1,1,1,1,1,92,25,46,1016,992,958,930,886,830,811,799,778,764,752,744,738,726,715,712,712,708,682,662,653,648,639,624,608,602,592,586,584,582,581,580,580,578,578,573,570,568,567,566,568,570,571,573,576,584,591,592,591,592,593,595,598,606,613,614,618,623,636,652,674,685,704,728,749,756,758,765,775,790,800,814,830,891,1171,1630,2171,1211,1011,1038,1078,781,30,21,13,9,16,4501,23,1,1,1,4501,2708,1960,926,841,824,1837,786,778,758,760,742,734,724,716,2050,2066,894,685,688,684,684,669,666,665,671,669,660,665,659,663,662,671,671,677,682,684,1118,898,742,1667,722,730,741,751,769,780,823,1473,866,934,997,2098,4501,1175,21,1,1,22,34,30,24,22,25,4501,1,1143,1115,1067,977,1362,923,888,839,826,806,801,785,773,761,758,755,748,728,701,691,670,652,638,634,624,621,610,598,596,594,593,592,593,592,588,580,575,573,571,569,567,567,567,570,573,577,577,580,581,581,581,583,586,591,601,607,622,635,645,648,657,675,703,711,710,712,723,738,745,751,757,766,782,801,824,839,889,935,973,1005,1064,871,349,159,33,4501,11,1,4501,534,1,1,1,1771,2117,2376,2384,2033,2024,2027,645,647,644,620,614,600,612,610,606,606,604,595,592,588,586,585,578,580,581,592,582,558,560,587,590,584,585,587,590,592,595,599,606,610,609,610,609,615,613,632,635,650,656,655,1985,2036,2045,2874,2946,3078,3004,3044,239,1,1,1,1,4501,17,9,1,1,1,4501,1008,972,930,894,846,825,795,781,768,754,748,743,737,727,712,704,705,704,681,657,648,645,637,625,613,606,595,588,584,581,580,580,579,579,577,573,570,568,567,567,568,571,572,573,577,583,592,595,594,594,594,595,596,605,621,632,639,647,659,672,692,708,730,747,753,754,760,773,787,798,805,822,838,858,1454,1214,978,1023,1084,1127,1161,252,14,4501,4501,1,15,26,16,9,1,1,4501,2412,1526,828,1068,814,1791,769,762,742,738,726,719,1440,750,1043,757,676,673,673,665,661,656,653,646,653,650,648,649,637,639,646,650,663,663,661,660,668,963,681,1104,701,714,726,735,751,759,1331,1179,2100,1064,2019,2130,2481,25,18,1,1,4501,1,20,20,5,1,1,1,1146,1121,1084,1015,962,931,886,850,831,812,804,795,782,768,758,754,755,743,718,703,681,674,662,656,643,628,610,598,596,595,595,596,596,594,586,580,575,573,572,569,567,567,568,570,572,577,578,579,579,579,580,582,587,593,603,610,624,633,642,646,654,666,696,702,702,710,722,733,735,743,751,763,776,786,820,841,858,888,952,991,1026,1088,707,345,87,9,23,4501,1,1,1,1,2094,2406,2987,3130,3425,2378,2050,1530,859,656,657,637,633,628,615,615,616,611,615,610,603,601,598,594,591,591,593,597,592,572,572,601,599,597,593,597,600,605,608,610,616,618,623,621,621,618,640,651,656,664,668,676,2042,2051,2807,3545,3525,3371,3168,1908,1,1,1,1,1,20,4501,4,1,1,4501,1043,1002,957,886,874,852,812,788,779,763,751,742,736,732,720,712,701,696,690,666,657,648,642,634,626,615,609,597,588,582,580,579,579,579,579,578,574,570,569,568,568,569,572,573,575,579,584,591,597,598,597,597,597,599,607,626,642,659,669,679,685,696,714,739,755,760,759,764,777,795,806,808,826,847,875,912,942,988,1043,1095,1124,1130,24,21,1,4,2,23,10,1,1,1,1,3662,3452,1772,1620,1443,778,767,748,732,720,719,704,696,806,1267,667,663,662,657,653,651,643,633,628,635,643,640,630,638,628,623,626,634,635,647,656,658,654,652,656,688,685,694,703,713,725,744,751,793,2126,1221,1891,2178,2422,2154,1234,60,1,1,1,16,4501,21,1,1,4501,1111,1111,1079,1017,963,934,895,853,831,813,809,797,784,767,764,763,758,748,721,704,689,686,680,675,652,630,612,601,599,598,598,600,598,592,584,579,576,573,572,569,567,567,567,570,572,577,578,577,577,577,577,581,586,594,607,612,622,628,636,642,657,664,676,692,697,710,720,728,733,743,751,759,776,786,802,828,868,888,920,990,1026,1088,947,322,37,4501,1,9,1,1,1,1,1,1,3575,3106,3402,3483,2220,2070,2032,679,677,661,657,648,626,617,619,627,625,621,618,615,609,607,602,599,599,603,607,586,587,614,604,602,601,607,611,620,624,620,626,631,626,633,636,647,661,665,665,679,1371,2052,2078,2104,2562,3279,3418,2988,3284,3714,2768,1,1,1,1,1,10,1,1,1,1131,1037,1001,928,905,888,834,806,792,780,764,754,743,737,731,721,709,699,692,677,672,660,641,635,627,621,613,609,597,587,580,576,576,576,576,579,578,573,571,568,567,567,569,572,574,575,579,581,588,596,599,601,599,599,601,607,627,646,672,683,688,693,700,717,744,757,766,766,766,778,792,806,809,821,841,871,906,937,983,1032,1084,1109,1167,20,21,1,4501,12,1,1,1,1,1,4501,3688,2520,1878,2009,809,755,742,729,722,705,696,680,669,665,650,650,650,652,643,641,637,632,624,618,618,633,627,619,629,619,619,624,623,630,636,639,643,637,643,633,655,674,683,684,699,700,720,727,748,2054,1952,1812,1680,2207,2315,2482,221,1,1,1,1,1,19,19,1,4501,1,1,1041,993,947,921,878,844,826,813,808,794,780,769,768,767,762,752,726,709,698,693,688,682,657,631,614,603,601,600,601,600,597,589,583,578,576,573,572,569,567,567,568,569,573,577,578,577,574,575,575,578,583,591,604,608,617,623,629,632,647,666,679,685,691,706,715,729,735,746,754,765,776,791,808,826,856,903,936,967,1034,1084,1047,246,13,1,6,1,11,1,1,1,1,1,3854,2891,3078,3334,3470,2168,2073,2076,684,677,670,652,646,628,640,639,631,633,627,623,624,616,614,607,611,615,619,602,606,624,616,615,614,620,623,627,631,634,639,639,645,639,639,659,867,675,905,689,2074,2083,2118,2981,3390,3465,3247,3130,2961,1213,1,1,1,1,12,5,1,4501,1,1,1128,1057,1003,960,919,877,844,817,798,788,774,762,747,735,728,720,708,696,692,680,661,642,629,628,625,619,611,605,594,583,578,574,574,573,574,577,577,573,570,568,567,566,568,571,573,574,577,581,586,593,597,602,601,601,602,610,628,648,675,688,696,701,707,719,745,758,767,770,769,772,789,803,809,819,835,858,894,917,961,1003,1053,1081,776,53,4501,1,28,4501,1,1,1,1,1,1337,2198,1779,1857,2090,1376,732,724,710,700,689,680,674,651,652,648,631,637,640,632,628,617,610,604,606,614,621,614,601,612,614,596,600,611,610,610,613,626,632,630,632,640,657,669,671,689,690,707,717,727,731,1774,857,1192,2077,2594,2632,567,1,1,1,1,4501,36,16,27,1,1,1041,1020,968,930,905,866,840,822,812,802,791,775,770,772,768,762,753,726,717,707,701,691,686,659,633,618,604,602,602,602,599,594,588,582,578,5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