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17,758,647,524,348,885,879,2574,2242,1973,1756,1579,1435,1318,1225,1150,1090,1043,1006,977,953,935,922,912,904,898,894,891,891,892,893,894,897,981,989,997,977,977,977,977,806,670,561,476,410,332,270,219,180,21,21,34,27,27,27,26,3047,2626,2310,2012,1766,1565,1405,1292,3219,2756,2385,2090,1856,2570,2072,1666,1345,1086,896,747,623,520,422,343,279,226,187,155,149,144,140,137,128,107,898,957,986,1007,1008,973,963,952,942,933,925,917,910,904,898,893,888,883,879,875,871,868,864,860,857,854,854,856,858,861,1682,1545,621,289,365,464,497,457,388,315,225,2284,1998,1766,1578,1423,1295,1189,1103,1032,973,924,883,848,818,793,773,755,741,728,718,708,699,688,680,670,659,648,641,639,639,641,643,647,650,654,657,661,665,668,672,676,680,684,688,694,700,706,713,720,727,736,774,1356,1090,888,587,475,385,314,303,367,459,524,489,415,284,235,239,342,1614,1476,1361,1267,1190,1127,1074,1029,993,963,940,921,907,896,887,881,876,873,872,871,871,871,872,874,875,878,884,931,948,955,962,968,974,938,938,938,776,646,542,458,378,310,252,205,187,179,172,168,165,161,157,154,152,140,117,103,97,88,85,1766,1267,1180,1106,1043,988,942,904,870,841,818,798,782,771,763,757,755,754,754,760,764,1554,1249,1021,845,705,593,502,430,372,326,289,259,236,214,183,158,150,145,142,139,136,120,262,262,262,398,891,899,902,902,900,898,895,892,889,886,884,881,878,875,872,869,867,864,860,857,856,857,860,863,865,869,1430,1343,878,492,407,399,455,536,588,549,469,380,2264,1980,1750,1562,1408,1282,1179,1095,1025,968,921,882,849,822,799,779,763,749,737,727,716,706,696,686,675,665,658,655,654,656,658,661,665,668,672,675,679,683,686,690,694,698,703,708,714,720,726,732,739,747,757,768,1011,815,665,618,639,688,690,623,518,420,397,342,287,624,662,706,1667,1518,1395,1295,1215,1150,1095,1049,1010,978,953,933,918,906,897,890,885,881,878,877,875,875,875,875,876,880,886,921,939,958,966,972,979,957,957,957,957,790,658,552,468,401,349,307,273,245,223,206,193,183,175,169,165,160,149,126,994,983,960,948,934,918,904,1867,1664,1493,1350,1233,1137,1058,993,938,893,859,827,803,785,771,761,754,749,746,745,746,749,753,758,763,768,774,780,786,794,805,832,644,575,488,419,362,317,280,250,226,208,193,181,171,163,157,150,141,120,101,720,766,806,942,934,925,916,907,899,892,885,880,878,876,874,872,871,870,868,866,864,862,875,877,880,1978,1775,1617,990,881,772,697,605,501,339,446,551,646,729,717,637,534,2349,2054,1814,1616,1454,1321,1213,1125,1053,993,944,903,869,840,816,795,779,764,752,741,730,719,710,699,688,678,671,668,668,669,671,674,676,679,683,687,690,694,698,702,706,711,716,721,728,735,741,748,756,765,2535,2033,1632,1313,1096,997,965,947,912,855,825,817,812,822,836,859,884,900,912,925,935,944,962,955,946,937,930,918,911,903,894,886,880,875,872,869,868,867,866,865,861,875,920,1002,1113,1227,1192,982,814,678,569,482,411,355,309,272,243,220,202,189,179,170,148,124,110,88,77,68,63,3930,3442,2933,2487,2127,1839,1678,1562,1435,1316,1211,1121,1047,989,944,917,932,2304,1869,1521,1243,1021,844,703,590,498,425,365,317,279,247,222,203,187,176,168,164,160,155,151,151,150,148,147,147,148,151,151,151,159,167,177,188,199,211,225,244,244,244,244,244,244,244,457,588,673,728,765,790,808,820,829,834,838,841,868,873,876,879,956,960,966,969,977,981,988,997,1004,1011,1010,1009,997,944,888,860,872,894,846,738,615,497,428,348,283,1696,1524,1383,1267,1175,1098,1034,980,935,897,866,840,817,798,782,769,756,743,732,720,709,698,691,687,686,686,687,689,691,693,697,700,704,708,713,717,721,726,732,739,747,755,763,772,1450,948,826,794,807,836,839,844,859,885,913,939,960,977,990,999,1002,1005,1004,1001,999,974,962,950,932,925,913,905,896,888,881,875,871,868,866,865,865,863,862,901,901,901,848,848,745,658,582,517,464,419,381,349,322,298,279,261,245,232,220,209,200,192,182,174,169,164,160,154,148,143,138,135,132,130,130,130,131,132,133,133,133,133,133,134,135,127,496,567,619,658,687,713,734,756,773,780,780,776,770,762,755,748,740,733,726,719,711,703,697,693,690,689,690,691,694,696,699,703,710,722,746,2322,1884,1534,1253,1028,848,704,590,499,426,367,319,281,250,224,204,191,182,176,171,163,140,140,143,144,143,144,147,150,155,161,168,176,184,193,202,212,222,234,250,268,291,320,320,320,320,491,595,666,715,751,777,796,810,821,828,833,837,841,877,881,884,888,974,980,983,984,987,993,1001,1008,1015,1022,1029,1035,1038,1040,1007,959,913,907,922,904,805,679,551,445,373,304,269,1994,1764,1577,1424,1300,1199,1115,1045,988,941,902,870,843,821,802,785,768,754,740,727,715,708,704,701,701,702,703,705,708,711,716,720,724,729,734,739,745,751,759,766,773,781,789,799,1267,1019,823,666,538,443,441,506,558,580,578,590,632,685,739,792,838,877,908,934,954,966,972,977,987,982,973,961,951,933,921,914,904,895,888,882,877,874,871,869,868,867,865,860,856,862,2618,2289,1255,1026,850,696,573,464,396,342,278,234,207,189,176,165,158,152,147,142,139,136,134,132,132,130,125,111,102,85,72,72,479,809,1018,3001,2732,2388,2044,1768,1562,1486,3329,2897,2460,2048,1653,1327,1086,894,740,617,518,439,376,326,286,253,220,182,33,31,107,220,343,458,559,645,714,767,808,840,864,883,897,921,916,909,901,895,890,886,882,879,876,874,872,869,866,864,861,864,881,886,890,892,893,964,981,987,990,992,996,999,1004,1010,1017,1017,1013,991,991,991,991,991,867,829,811,732,622,505,278,230,1469,1352,1255,1174,1106,1051,1005,966,935,907,882,861,844,828,814,802,790,779,768,757,746,735,725,718,715,713,712,713,714,717,720,725,730,735,740,745,751,756,762,769,777,785,792,799,807,816,1564,927,772,722,730,680,588,482,409,380,383,393,412,475,537,594,655,713,765,810,879,973,968,959,950,915,907,899,891,885,881,878,876,875,874,874,874,875,875,876,880,936,942,949,955,961,967,976,959,952,950,950,950,950,764,105,78,92,105,115,123,128,128,113,3437,3035,2659,2314,2017,1762,1547,1371,1228,1113,1020,946,889,843,807,778,756,741,742,792,1944,1664,1372,1138,945,1587,848,712,603,514,438,369,300,245,201,166,140,125,109,92,80,140,216,297,332,369,427,503,584,661,728,784,828,863,890,909,922,929,934,937,939,939,939,939,937,935,932,927,920,913,906,899,893,888,884,879,875,872,869,866,863,861,865,875,881,890,893,894,895,953,960,968,974,979,982,985,990,996,1002,1009,1008,1011,1012,1013,1003,1003,1003,1003,945,933,887,777,777,626,505,409,1160,1108,1062,1023,988,958,932,911,891,873,857,843,831,820,810,801,792,784,776,767,756,746,737,731,727,726,726,726,728,731,735,740,745,751,756,761,766,771,776,783,790,798,806,814,824,834,874,411,334,271,221,182,128,157,254,347,359,318,308,367,456,547,634,710,772,825,867,899,922,938,952,963,980,984,977,967,957,948,941,935,930,926,921,910,902,894,886,880,876,873,871,869,868,868,867,867,868,869,873,877,883,889,903,909,914,919,923,927,930,935,941,949,957,964,972,981,990,999,1007,991,949,936,945,962,938,938,938,938,761,620,512,414,337,247,205,185,180,179,180,181,181,181,180,185,193,197,202,207,210,211,211,206,1530,1663,1723,1639,1448,1286,1155,1050,968,903,851,811,856,2265,1855,1526,1264,1054,885,749,636,545,474,417,371,333,298,256,211,180,152,139,117,100,86,81,85,74,70,60,54,50,45,73,101,149,198,206,203,231,231,231,231,379,501,600,681,746,796,831,857,876,891,901,909,914,918,920,920,919,916,912,907,901,895,889,884,880,876,873,870,867,863,860,857,857,858,861,866,870,875,880,884,887,890,893,971,980,988,993,997,1001,1006,1010,1016,1023,1030,1038,1035,1020,1020,1020,1020,884,829,778,679,563,455,374,310,259,177,510,593,792,814,829,839,849,846,842,836,829,823,818,812,806,799,791,781,769,758,751,746,744,743,743,745,748,753,758,764,769,774,779,785,791,797,805,812,820,827,834,843,854,865,877,889,1309,1133,912,733,666,727,742,682,627,635,675,729,782,831,872,907,934,954,968,977,983,989,994,997,998,993,985,975,964,953,944,937,930,924,918,913,907,900,893,886,879,874,870,868,866,865,864,864,864,864,865,869,874,879,885,898,905,911,917,922,926,929,933,939,947,956,965,975,984,988,981,938,938,938,938,802,716,626,517,418,350,286,251,210,174,144,123,108,92,85,77,1970,1619,1337,1114,937,795,684,594,524,471,462,579,755,940,1114,1270,1384,1450,1432,1344,1205,1086,992,916,854,804,755,681,615,557,508,475,466,424,387,356,330,309,292,278,270,264,259,251,244,242,242,242,242,241,240,239,237,236,233,230,227,224,219,215,212,207,202,202,3040,2620,2283,2013,1798,1626,1489,1379,1220,1162,1115,1075,1042,1012,986,965,946,930,918,907,898,891,885,879,873,870,869,869,871,874,878,881,885,889,893,895,898,902,917,968,975,981,985,989,992,998,1005,1012,1019,1026,1032,1038,1042,998,998,998,998,895,813,698,571,462,375,174,165,138,330,467,651,709,752,782,803,817,825,832,835,836,835,834,829,824,820,815,808,802,794,784,774,766,762,759,757,758,760,764,768,773,779,784,789,795,800,805,811,817,823,828,833,839,847,856,867,880,228,154,94,105,189,282,322,324,346,414,504,595,678,749,808,855,893,920,940,953,962,969,974,979,982,984,981,974,965,956,949,942,935,929,923,917,911,905,900,894,887,880,875,872,870,868,867,867,866,866,866,868,870,875,881,888,903,910,916,922,925,927,928,1768,1472,1212,977,792,654,528,433,352,243,200,166,138,121,114,97,3173,2750,2252,1852,1537,1285,1085,930,810,717,645,597,563,544,544,557,566,567,557,529,499,471,449,434,423,414,469,470,465,552,552,552,552,777,975,1158,1390,1390,1390,1894,2047,1917,1576,2911,2468,2140,1882,1611,1115,967,891,870,874,887,904,920,933,942,946,947,947,948,949,948,946,942,937,931,924,917,908,900,893,886,881,877,873,870,866,863,859,857,857,858,860,863,867,871,876,880,885,888,890,892,896,904,912,921,930,939,946,953,958,963,967,972,977,984,992,1000,1009,1017,1026,1035,1040,1041,988,988,938,925,924,924,924,924,600,518,659,697,735,768,794,813,826,835,841,845,847,847,845,843,840,837,833,829,825,821,816,810,803,795,786,780,775,772,771,773,775,779,784,789,794,798,802,806,810,815,820,827,834,840,846,853,862,871,882,894,948,939,755,410,402,368,402,471,532,529,522,568,632,699,762,816,861,897,925,945,960,969,975,978,980,981,982,982,981,979,973,966,958,949,942,935,930,925,921,916,911,905,900,894,888,882,876,871,867,865,864,863,862,861,861,861,862,864,867,871,877,891,915,920,923,926,930,937,944,952,960,969,979,989,981,947,947,947,859,835,843,785,675,552,454,370,315,257,210,2989,2808,2259,2125,1946,1757,1573,1407,1264,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