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8,135,121,121,152,157,158,159,160,186,1797,1913,2015,2027,2010,1,1,110,67,65,75,156,192,195,204,1337,1995,200,177,167,169,166,146,1,4501,4501,1,51,21,1,1,40,66,63,61,60,61,61,61,64,64,56,32,1,1,62,61,59,59,59,59,60,62,65,65,58,27,20,4501,4501,4501,4501,648,184,187,196,173,181,196,398,207,197,186,165,82,66,67,82,127,1,61,1964,1833,1553,1976,184,164,160,159,156,150,141,119,131,150,150,150,168,484,572,578,575,573,571,572,569,568,570,572,575,577,582,586,591,594,600,607,619,625,636,631,623,615,608,598,592,585,582,578,573,569,563,559,553,551,547,548,544,541,539,539,536,535,534,532,532,533,531,531,531,531,533,540,565,583,610,1008,1479,1404,1587,2003,2083,2129,2171,4501,4501,4501,4501,4501,4501,4501,3496,3410,3219,3153,3216,3313,3283,2926,2614,2384,2215,2110,2056,2004,1997,1989,1996,2003,2048,2297,2632,2770,2907,2794,2908,4501,4501,4501,4501,4501,4501,4501,4501,2233,2206,2175,2086,1867,1405,1393,866,610,583,563,550,532,532,532,532,533,532,535,536,538,539,540,541,541,545,546,549,552,553,557,560,563,567,576,581,584,590,597,600,608,615,620,631,640,635,621,616,605,599,592,588,585,579,578,574,573,572,572,573,573,572,574,575,574,511,229,150,151,148,127,120,144,155,159,159,160,167,327,1556,1524,1894,2007,1987,159,128,76,66,70,116,187,195,201,250,213,176,177,207,191,184,178,1,4501,4501,192,21,13,25,64,63,60,59,58,58,58,58,61,60,54,26,23,1,1,1,61,59,57,57,57,57,58,60,63,68,101,157,165,167,172,177,185,187,186,182,184,199,202,205,202,195,157,108,71,67,85,112,144,1511,2006,1833,1513,1703,369,165,162,161,159,155,136,126,122,146,151,151,154,242,553,576,574,573,570,572,571,569,572,575,576,578,581,588,592,596,602,608,614,628,636,645,640,626,624,617,608,601,594,591,587,581,576,573,568,565,559,556,555,555,553,551,548,544,541,543,541,540,538,537,539,537,539,537,546,568,582,602,643,860,1049,1596,1838,2005,2081,2135,4501,4501,4501,4501,4501,4501,4501,2805,2679,2508,2400,2456,2529,2504,2336,2203,2121,2073,2037,2018,1993,2000,2008,2011,2016,2040,2145,2225,2342,2402,2544,3491,4501,4501,4501,4501,4501,4501,4501,2246,2225,2196,1811,1794,995,743,668,639,605,576,565,556,544,543,544,543,544,545,547,546,545,548,550,553,554,557,559,561,561,564,566,572,577,577,583,591,596,601,606,611,617,625,630,638,648,645,633,624,615,604,597,595,588,584,579,577,574,571,570,570,571,571,568,572,570,563,489,156,151,152,148,124,124,141,158,161,161,163,171,297,775,655,1616,1956,1878,156,114,79,67,72,146,176,201,209,277,1808,1957,262,182,179,179,174,157,87,27,26,25,61,58,58,57,56,56,56,57,59,76,112,71,31,27,1,1,19,107,62,57,55,55,55,56,57,58,60,76,141,152,153,158,183,192,229,248,1895,2008,520,234,209,200,153,74,70,69,90,130,142,277,1860,963,1047,850,305,169,163,162,162,158,136,123,121,136,152,151,153,195,461,562,563,562,564,563,565,564,564,566,570,573,577,581,587,594,595,600,610,618,633,641,650,640,629,623,617,609,603,596,593,589,586,580,575,571,564,562,560,557,556,554,549,549,547,545,543,543,540,542,543,539,540,540,542,547,564,575,594,623,1007,1256,1555,1879,1997,2083,2134,4501,4501,4501,4501,4501,4501,4501,3523,3304,3065,2894,2790,2948,2885,2811,2593,2355,2211,2125,2065,2027,2022,2017,2019,2032,2150,2305,2606,2662,2645,2770,4501,4501,4501,4501,4501,4501,4501,4501,2257,2228,2177,2018,1724,1636,825,692,615,590,571,563,550,544,543,545,543,543,543,547,546,548,549,550,552,555,556,559,564,562,565,566,571,577,580,586,589,596,595,603,609,612,625,628,637,648,648,634,622,612,602,596,590,583,577,571,571,565,563,560,559,557,557,556,555,557,557,542,230,153,152,153,142,121,124,143,157,162,163,165,173,335,960,1291,1199,1973,1855,148,132,83,69,74,84,167,205,213,268,1081,1987,2047,315,197,192,160,31,64,61,64,59,57,56,56,55,55,56,57,58,94,146,142,43,4,54,55,59,56,54,54,54,54,54,55,55,56,57,57,46,51,105,182,165,96,1,790,1924,231,216,212,198,119,75,71,74,108,137,229,777,1908,1265,804,354,234,170,166,165,164,158,135,123,125,136,153,152,163,187,425,534,551,551,549,553,553,553,555,554,557,564,568,572,574,583,587,593,600,612,620,632,643,654,643,633,626,619,614,606,601,597,592,586,582,576,572,568,565,560,561,560,556,553,553,550,548,547,545,545,544,543,544,541,543,542,545,557,562,585,602,1142,1508,1850,2059,2102,2129,2159,4501,4501,4501,4501,4501,4501,4501,4501,4501,4501,3462,3481,3483,3483,3455,3426,3152,2728,2422,2247,2083,2056,2044,2166,2569,2904,3142,4501,3495,4501,4501,4501,4501,4501,4501,4501,4501,4501,4501,2256,2228,2197,2160,1990,1914,1318,822,604,575,563,554,548,546,547,547,546,547,546,547,548,546,551,554,554,554,557,560,564,566,568,571,574,578,583,585,594,600,603,607,614,622,632,634,645,651,651,636,623,611,603,594,587,583,577,568,565,562,553,553,548,548,545,545,545,545,547,546,498,243,170,153,154,149,129,124,131,156,164,165,167,172,203,386,739,945,1579,1946,411,142,114,75,73,76,120,205,216,220,219,86,73,72,71,77,72,68,67,63,58,58,58,54,53,52,52,52,52,52,51,50,50,51,51,53,51,52,54,57,57,56,54,54,55,56,57,59,66,73,74,72,80,79,77,112,217,216,198,163,90,75,76,117,134,172,476,1868,1734,1421,729,207,173,171,167,165,163,158,136,125,137,153,155,154,172,361,459,532,542,542,544,544,546,545,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