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574,574,574,574,857,1085,1269,1426,1577,1577,1966,2290,2648,2852,3175,2658,2223,2678,2147,1722,1388,1111,1012,1044,1068,1084,1095,1101,1100,1093,1082,1069,1055,1039,1024,1010,996,983,970,958,947,936,925,914,905,896,889,881,874,868,863,857,852,848,844,841,839,836,835,833,833,832,832,832,833,835,837,840,842,846,850,855,860,866,873,880,888,888,888,888,742,626,533,453,387,334,293,265,247,209,170,141,113,106,101,97,94,93,89,93,96,99,381,381,707,965,1171,1335,1355,1206,1086,989,911,849,799,759,727,704,687,666,643,618,599,590,592,598,603,603,603,603,604,604,605,608,880,1103,1282,1428,1543,1640,1717,1396,1139,933,951,883,723,594,491,409,342,286,234,222,214,206,197,187,177,166,157,151,150,151,153,154,154,154,150,143,285,398,487,558,614,658,693,720,742,759,773,784,793,800,806,812,816,820,824,827,832,836,840,844,849,854,859,865,871,879,886,894,903,913,922,933,944,957,971,985,1001,1023,1047,1066,1085,1101,1115,1115,1115,896,722,580,580,580,580,1159,1600,1787,1833,1867,1892,1912,1923,1931,1850,1593,1387,1222,1091,985,900,832,777,734,700,677,659,641,619,598,581,573,572,574,574,570,568,565,563,561,560,560,561,561,562,562,562,562,562,846,1073,1258,1419,1546,1546,1934,2257,2666,2940,2444,2155,1726,1613,1522,1447,1385,1333,1286,1242,1202,1164,1130,1100,1072,1048,1027,1008,990,974,959,946,933,921,911,901,893,884,877,871,865,859,854,849,845,842,839,837,835,834,833,832,832,833,834,836,838,840,843,847,851,855,860,867,867,722,606,514,441,383,335,292,258,229,207,190,177,167,161,161,160,158,146,127,116,107,101,96,93,88,75,75,75,951,1661,2229,1806,1467,1197,1137,1313,1451,1561,1431,1269,1138,1032,948,880,826,783,751,726,702,675,645,622,611,613,618,619,618,618,617,617,774,930,1143,1315,1454,1567,1658,1732,1409,1151,945,945,945,1656,2033,1943,1570,1271,1032,840,687,565,469,392,331,283,247,218,195,177,164,156,149,143,138,137,137,139,141,144,143,138,281,395,485,556,613,657,691,719,741,758,772,783,792,799,805,811,815,819,823,827,832,835,839,843,848,853,858,864,871,878,884,892,900,910,920,930,941,954,968,982,998,1018,1042,1062,1080,1095,1110,1110,1110,1084,1084,1084,1582,2118,2381,2316,2251,2199,2156,2121,2091,2063,2009,1719,1487,1301,1153,1034,937,860,799,749,710,680,658,642,624,602,581,563,555,554,557,559,558,557,555,554,554,554,555,556,556,556,557,558,558,558,558,558,843,1071,1255,1523,1737,2064,2358,2598,2433,2188,2013,1839,1699,1585,1493,1413,1344,1283,1229,1182,1141,1104,1074,1048,1024,1003,985,968,952,938,925,914,903,894,885,878,871,865,859,854,849,846,842,839,837,835,834,832,832,831,832,833,835,837,840,843,846,850,860,860,719,605,515,443,383,330,288,253,226,211,200,192,185,181,177,174,170,164,152,139,125,115,107,100,85,72,63,76,62,62,62,949,1659,2227,1806,1469,1202,1363,1493,1595,1402,1247,1122,1023,943,882,834,791,748,707,674,655,651,648,646,643,641,639,638,895,1118,1299,1444,1560,1654,1989,1617,1319,1082,890,1371,1929,2434,2222,1790,1433,1151,924,776,646,532,440,366,309,278,255,238,224,213,204,197,190,182,172,161,152,144,140,142,144,146,147,147,147,292,406,496,566,622,666,701,727,748,764,777,787,795,801,806,811,815,818,821,824,827,830,834,837,841,845,849,854,859,864,871,878,885,893,902,912,921,931,942,955,969,982,998,1018,1041,1061,1078,1093,1111,1111,1111,896,727,591,846,846,846,1366,1688,1986,1985,1982,1978,1976,1892,1845,1600,1394,1228,1094,987,901,832,776,732,697,669,646,627,615,606,591,573,555,539,533,535,540,544,545,546,547,548,548,548,548,550,550,550,552,554,554,559,559,559,559,841,1065,1247,1247,1667,2024,2312,2749,2564,2096,1889,1531,1227,992,804,652,529,463,377,308,250,430,572,684,772,841,891,924,946,958,964,965,964,961,957,951,944,937,929,921,913,905,897,890,883,876,870,865,860,854,850,846,843,840,837,835,833,832,831,831,830,831,832,834,837,839,842,846,846,846,679,574,490,423,366,316,275,244,219,204,194,187,182,179,176,175,173,170,154,137,124,114,107,122,136,149,159,155,130,105,105,105,105,984,1673,2205,2484,2015,1639,1339,1102,1248,1404,1528,1626,1704,1766,1574,1387,1237,1117,1024,947,877,812,760,732,716,703,691,682,674,878,1106,1288,1436,1554,1646,1346,1106,916,916,768,656,565,491,431,383,344,299,254,217,187,163,161,162,164,165,165,165,164,163,161,155,149,142,136,133,137,140,143,144,144,144,282,392,480,549,605,649,684,713,736,754,770,782,792,800,808,814,821,827,832,837,843,848,854,860,866,874,882,890,899,909,918,928,939,952,966,979,996,1016,1038,1056,1073,1088,1106,1106,1106,888,710,568,457,370,578,777,777,1351,1765,2020,2028,2015,2005,1995,1987,1939,1797,1550,1350,1190,1063,960,878,812,758,714,680,652,630,613,600,591,583,568,551,535,520,514,516,523,528,531,533,534,535,536,536,538,540,542,544,545,547,550,553,558,558,558,558,837,1061,1244,1394,1394,1802,2129,2573,2805,2905,2446,1961,1572,1258,1230,1212,1195,1181,1167,1152,1132,1112,1091,1070,1050,1031,1014,998,983,969,956,944,932,921,911,902,893,885,878,871,866,860,855,850,846,843,840,837,835,833,832,831,830,830,830,831,833,836,838,842,842,842,704,592,498,421,359,313,280,255,235,220,208,200,193,187,183,171,154,137,124,122,131,142,152,159,164,169,176,183,188,191,191,1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