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0,2171,3171,3535,4501,4501,4270,512,1,1,1,1,930,2539,3174,2473,2104,2082,2062,2044,2031,2020,2012,1602,934,743,575,569,554,537,209,161,153,151,152,155,304,481,535,543,545,551,553,551,550,551,549,551,557,560,558,559,561,561,564,568,572,576,579,581,584,585,586,582,580,582,588,591,600,606,613,614,1415,1113,1339,740,764,706,601,590,586,581,575,569,564,563,560,554,549,548,545,542,537,536,532,531,529,526,525,525,522,519,520,520,518,514,512,513,513,513,511,512,511,511,509,508,508,512,511,514,515,516,518,516,521,523,524,527,528,533,536,537,539,544,542,538,1941,1853,891,637,591,447,442,449,454,472,474,475,476,475,468,465,466,475,492,507,520,503,477,470,464,468,477,475,473,475,470,448,434,435,447,525,987,1276,1724,1960,1379,543,544,539,538,537,533,532,530,529,525,521,519,518,517,517,515,514,514,513,512,512,511,514,513,514,513,513,512,514,516,519,520,520,521,523,526,528,530,532,535,536,535,536,542,545,551,552,555,562,565,567,573,577,581,589,589,599,600,634,649,730,1202,728,643,612,605,599,592,586,579,576,577,581,579,580,578,575,574,565,564,564,560,559,558,556,557,555,556,554,550,548,549,550,550,549,549,543,535,510,371,205,156,155,156,157,173,490,623,908,1142,1695,2015,2021,2028,2043,2058,2073,2095,2113,2301,2963,3496,4130,4342,3429,2701,90,1,1,3487,3789,3178,2503,2177,1924,1957,1971,1988,1791,512,505,523,1919,1971,1955,1877,1857,1881,1874,1772,2131,3367,1916,2631,1059,1614,3448,4196,4501,4501,4501,4107,3355,2266,2104,2077,2060,2046,2028,2005,1997,1888,956,174,163,161,160,161,267,467,529,550,554,555,551,549,549,547,550,554,558,557,557,554,553,560,562,558,559,560,559,565,576,577,575,577,575,573,571,572,576,582,590,594,604,610,641,635,1155,781,705,622,799,599,595,591,585,581,575,570,569,562,558,554,552,549,545,541,539,538,535,534,532,529,528,527,526,522,520,518,519,517,515,513,512,513,516,515,516,515,515,516,516,516,517,519,519,521,522,524,524,529,532,533,537,537,541,541,546,549,602,1814,1966,1711,978,558,488,435,446,452,449,472,477,472,479,474,477,479,486,494,519,520,501,488,482,478,481,481,477,481,473,450,441,421,500,437,744,1606,1930,1954,1971,925,549,550,545,543,540,539,536,533,531,526,526,524,524,520,523,520,518,519,516,518,517,516,516,514,515,513,512,513,513,518,520,520,521,525,527,528,531,531,533,537,537,541,543,546,548,553,555,559,565,569,573,574,577,584,588,593,598,689,790,803,1080,719,639,609,605,599,594,587,582,575,572,572,573,573,575,573,576,577,574,568,564,558,559,560,560,559,559,556,554,558,559,556,558,558,560,563,563,565,565,564,560,527,412,183,167,166,168,170,212,1464,1999,2037,2063,2068,2088,2127,2704,3057,3290,3753,4278,4501,4432,4501,2268,414,1,4501,1407,2398,1772,1785,1905,1850,1880,1942,1953,1953,548,498,487,486,808,1805,1927,1791,1633,1710,1743,1751,1739,1566,1,1,1,1,123,1,1,1,214,211,218,239,241,249,4,2276,2062,237,181,177,174,173,173,234,417,1231,1274,606,585,581,577,574,571,568,570,564,559,558,559,555,559,560,560,561,563,563,564,571,572,577,572,571,572,570,568,566,569,569,572,579,584,591,599,602,617,651,776,872,1356,716,650,598,594,592,585,580,576,572,570,566,560,557,555,551,548,544,541,539,537,535,536,534,531,529,528,524,523,520,522,520,516,515,516,517,518,521,520,518,521,521,522,525,523,524,525,526,528,530,532,535,536,539,542,543,544,549,552,556,803,1908,1986,1877,1831,1381,956,505,444,455,519,471,486,589,492,480,482,482,488,498,516,524,510,498,483,485,489,515,494,644,633,579,732,403,454,1282,1421,1787,1960,1981,1971,1035,571,560,556,549,545,544,542,539,534,535,534,532,528,527,525,523,523,523,523,522,522,522,523,523,522,521,520,522,523,524,527,528,531,531,532,536,536,537,540,542,546,545,549,552,556,561,561,566,570,574,578,582,586,592,594,599,601,652,664,757,1210,782,603,602,603,597,591,584,581,574,571,569,566,565,565,568,574,576,583,582,576,572,576,571,569,566,564,564,564,566,569,573,578,580,584,587,590,595,743,737,1358,1628,1996,1963,2002,1642,222,180,181,182,184,189,228,238,232,230,228,219,208,212,218,221,223,1,1,4501,1,1,1,1597,1002,1160,1206,1455,1561,1423,1074,673,522,485,479,496,538,663,1144,1221,749,1003,1513,1382,856,894,56,1,1,1,1,1,196,216,212,205,203,214,219,222,204,197,193,190,189,189,87,1,2037,2047,2042,2037,2035,2031,1920,1963,1306,1421,793,809,597,590,587,587,580,572,571,570,573,575,577,578,577,581,583,585,571,566,560,563,564,564,569,570,576,581,583,592,597,601,601,600,603,968,907,819,692,631,599,597,593,588,584,581,576,573,567,564,563,558,555,550,549,549,545,541,538,538,536,534,534,531,531,528,526,527,523,521,520,521,524,523,525,524,525,526,527,524,527,528,529,529,533,534,536,538,541,544,545,551,551,556,560,677,997,1951,1983,2006,2075,1077,1202,1086,809,443,436,603,758,658,660,498,480,477,484,502,517,521,499,492,476,691,497,976,950,940,588,650,416,574,400,861,742,2359,2176,2016,1976,1638,629,699,561,555,552,550,549,546,545,541,539,536,531,533,531,530,530,527,528,527,526,526,525,525,523,523,525,525,529,530,529,531,533,535,535,539,542,543,543,547,550,551,553,557,561,564,569,572,578,582,584,589,591,595,598,601,756,660,742,895,738,601,602,596,598,593,590,581,578,573,569,568,563,563,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