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87,600,497,402,337,2325,2020,1771,1569,1404,1271,1162,1074,1001,940,890,849,816,789,766,747,731,718,705,693,683,673,661,649,637,629,626,625,628,631,635,639,643,647,651,655,658,662,666,670,674,678,683,688,694,700,706,713,720,2277,1829,1479,997,814,601,676,738,714,626,516,353,923,878,1642,1493,1371,1271,1189,1121,1066,1023,988,961,940,924,911,901,893,888,885,882,881,880,880,882,884,886,889,930,939,947,955,963,971,979,985,985,985,813,675,565,480,414,344,240,208,224,219,187,109,93,80,92,1111,1082,1055,1031,1009,987,967,3778,3355,3040,2726,2035,1652,1329,1069,860,693,564,476,410,351,299,243,199,164,136,112,108,111,114,116,117,115,98,201,309,418,418,687,887,894,897,898,897,895,893,891,889,887,884,881,878,875,872,870,867,864,861,857,855,855,857,860,863,1988,1791,641,1009,908,880,885,845,741,619,500,341,1984,1752,1562,1407,1279,1175,1089,1019,961,912,871,837,808,785,765,748,735,723,712,701,691,682,672,660,650,643,641,640,642,645,648,651,655,659,662,666,670,673,677,680,684,689,694,699,706,713,719,726,735,745,775,786,819,858,861,778,658,532,1066,1145,1087,1722,1564,1433,1326,1238,1167,1106,1056,1015,982,957,936,920,908,898,891,886,882,880,879,878,878,879,880,881,884,890,926,965,973,982,991,965,965,965,965,795,661,553,468,399,328,273,222,196,179,171,166,162,159,156,153,151,149,138,116,103,2834,2457,2135,1911,1692,1510,1367,2415,2401,1939,1557,1267,1042,862,718,603,511,437,377,330,292,263,235,199,170,159,153,148,144,139,122,113,223,223,223,223,369,664,808,836,857,870,877,880,882,881,880,879,878,876,875,873,870,868,866,864,861,859,856,854,853,855,859,863,866,870,2009,1777,828,342,294,271,376,485,549,520,447,364,1906,1696,1524,1382,1265,1169,1089,1023,969,923,885,853,826,803,784,767,753,741,731,721,711,702,693,684,673,663,657,654,653,656,657,661,664,667,671,675,678,682,687,691,695,699,703,709,715,721,727,734,741,749,759,2110,1368,1426,1150,820,797,812,809,724,605,490,398,1031,993,974,1648,1500,1379,1281,1202,1138,1085,1039,1001,970,946,927,912,901,892,886,881,878,876,875,874,874,873,873,874,878,920,929,959,967,973,981,983,954,954,954,954,954,788,656,550,466,400,348,306,272,244,222,205,192,182,175,169,164,159,144,120,106,100,2972,2610,2291,2010,1770,1628,1467,1328,1212,1120,1055,929,753,623,524,448,387,337,297,264,238,216,200,187,176,167,160,154,148,139,119,107,102,238,238,238,872,878,880,879,877,875,871,868,866,865,864,864,864,863,862,860,858,856,855,855,858,863,867,870,872,935,937,943,778,642,579,511,420,350,270,327,423,519,523,468,392,256,218,2741,2365,2060,1811,1608,1443,1310,1202,1114,1041,981,931,890,856,827,804,784,768,754,741,728,716,705,692,681,673,670,668,669,672,674,677,680,683,687,691,695,699,703,707,712,717,723,730,737,744,751,759,768,1826,2249,1457,1216,1098,1045,1020,967,893,848,809,799,808,827,853,883,901,927,940,949,956,975,965,953,941,932,918,910,902,893,884,878,873,869,866,864,863,863,861,859,871,918,984,1056,1128,2209,1785,1442,1180,973,806,672,564,478,408,352,307,271,241,219,201,188,178,169,148,124,109,91,79,3065,2725,2409,2118,1860,1685,1496,1339,1213,1141,2857,2309,1873,1524,1246,1023,845,704,590,498,425,366,318,279,247,222,203,187,176,168,164,160,155,151,151,150,147,146,146,147,150,150,150,150,161,173,186,198,211,227,248,273,273,273,273,273,468,590,669,720,756,781,799,812,822,828,832,835,838,843,856,863,868,871,874,963,967,970,974,980,988,996,1003,1010,1018,1026,1031,1036,1031,997,970,963,970,985,940,826,692,559,454,369,2068,1822,1621,1458,1326,1218,1130,1056,996,946,904,870,841,817,797,780,765,751,737,725,712,700,693,689,687,687,687,689,691,694,697,701,705,709,713,717,722,726,733,740,747,755,763,773,1948,1255,1009,1002,1008,998,978,950,938,945,957,971,984,994,1003,1010,1016,1018,1016,1011,971,959,947,937,922,915,909,901,892,884,877,872,868,865,863,862,862,861,868,910,910,974,900,900,789,692,610,540,482,435,394,359,330,305,284,265,249,235,222,211,201,192,182,175,169,164,159,153,147,142,138,134,132,130,129,129,130,132,132,132,132,131,132,133,133,122,3169,2827,2485,2184,1902,1672,1553,1527,3587,2896,2344,1902,1547,1263,1036,855,710,595,503,428,368,320,281,249,224,207,195,186,179,169,145,143,146,147,145,145,148,151,156,162,169,177,185,194,203,214,225,236,252,271,295,325,325,325,325,461,555,624,677,716,747,770,788,802,812,819,824,830,845,861,868,872,875,880,937,971,975,977,980,984,991,999,1006,1013,1021,1028,1036,1042,1021,987,950,944,956,942,942,942,942,770,632,1382,1274,1184,1110,1049,1000,957,920,888,860,837,818,802,788,776,765,753,741,730,719,709,703,699,698,699,700,701,704,707,710,715,719,724,728,733,737,743,749,756,764,771,778,786,796,807,1515,809,652,425,371,409,488,542,566,570,594,643,704,758,809,854,890,920,944,962,973,978,981,989,971,962,951,941,927,922,917,911,904,896,888,881,875,871,869,867,865,864,863,862,859,853,861,2163,1923,1384,1187,970,806,659,1087,895,724,584,472,402,346,302,268,240,218,200,186,174,165,158,153,149,144,988,963,938,914,890,868,849,832,817,804,792,781,770,761,751,743,735,728,722,715,708,701,695,688,683,680,679,679,679,680,681,683,686,688,692,697,701,707,712,719,725,731,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