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51,514,486,423,309,125,98,90,86,85,84,84,83,82,82,82,87,95,99,100,100,104,100,97,96,95,98,106,154,237,343,351,355,357,360,363,366,368,370,373,375,378,380,384,387,390,395,397,402,407,414,417,424,430,438,447,453,467,482,498,509,527,550,576,611,631,780,1081,1550,1570,1337,1178,1116,1095,1049,1046,834,448,197,54,18,4501,246,311,4501,4501,1051,4501,994,991,1120,1257,1548,1702,1876,1927,1999,2080,2113,2138,2147,2148,2145,2140,2134,2124,2093,2015,1731,1634,2026,1973,2072,2100,2115,2127,2140,2147,2157,2167,2162,2148,2124,2150,1991,1869,1652,1441,1272,1067,4501,4501,4501,4501,307,112,79,31,28,14,29,50,310,618,836,944,972,962,1110,1350,1374,724,629,601,564,537,517,498,489,473,458,445,439,430,424,418,410,408,402,397,392,390,387,382,380,377,375,373,370,368,367,364,362,358,355,355,350,345,281,201,116,103,98,99,101,112,129,112,107,98,93,86,81,81,82,83,83,84,85,86,102,112,115,121,164,310,382,490,546,583,610,624,650,676,892,1486,2006,2070,2105,1754,1400,4501,4501,4501,4501,4501,4501,2182,2156,2125,2092,2029,1871,1750,726,648,637,630,621,612,607,602,598,591,583,575,571,568,568,559,555,555,551,549,545,544,541,551,531,508,506,530,551,542,540,543,548,550,548,547,552,552,557,556,562,568,576,583,586,594,600,610,616,620,693,1013,1806,1975,2013,2025,2038,2142,2248,2298,4501,4501,4501,4501,4501,1053,1058,1434,1761,2024,2088,2033,1280,923,774,620,378,232,177,126,121,118,117,115,114,106,90,85,84,84,83,83,84,85,90,96,109,132,169,199,156,126,112,108,118,142,213,285,345,350,353,355,358,360,363,364,365,368,370,373,374,378,380,384,387,388,392,397,403,405,412,417,423,432,437,450,464,480,488,507,527,554,589,607,653,933,1259,1324,1168,1069,1044,1055,1084,1062,956,720,410,164,43,46,23,346,4501,4501,4501,4501,972,969,955,951,966,969,968,1177,1074,955,1104,1265,1590,1767,1936,2009,1944,1848,1457,878,848,757,775,922,1122,1451,1743,1905,2010,2081,1989,1773,1413,1347,1063,1004,931,909,933,969,976,995,4501,4501,4501,1381,996,563,273,91,29,30,31,41,383,689,870,955,971,955,961,1080,1288,657,605,581,546,521,502,485,475,459,445,432,426,418,412,406,400,398,393,389,385,384,381,378,375,371,371,368,367,365,364,362,360,358,355,354,351,346,323,264,163,135,118,129,141,193,257,286,233,147,114,101,91,88,85,83,84,84,85,91,112,116,117,117,119,120,120,123,128,140,161,212,386,1883,2020,2061,2092,2116,2145,2120,1752,4501,4501,4501,4501,4501,2526,2548,333,251,246,1111,1868,1855,968,621,619,616,613,604,600,592,589,580,572,565,561,556,556,550,547,542,546,540,541,536,536,546,526,503,496,516,540,540,534,540,540,540,541,543,543,550,551,560,565,575,583,594,598,603,601,607,608,585,332,197,193,193,198,199,199,201,199,1,2959,4501,4501,4501,4501,2239,2156,2185,2496,3515,1,1,1,1,128,128,126,124,123,121,121,119,119,119,119,119,97,87,88,89,91,95,106,114,134,169,280,340,357,354,265,181,170,151,169,192,272,323,347,351,353,354,356,359,360,361,362,364,365,367,368,370,373,376,379,380,383,387,392,394,399,404,409,419,423,437,451,466,473,489,507,530,561,580,622,678,1562,1631,1350,1185,1116,1101,1098,1067,887,658,321,136,31,29,31,30,210,362,1082,4501,4501,999,4501,1018,996,977,1088,1316,1425,1680,1872,1916,2023,2098,2136,2154,2148,2106,1660,1756,1532,1886,1891,2047,2091,2124,2143,2158,2172,2182,2189,2098,2076,1862,1810,1558,1303,1151,1059,990,989,1043,4501,732,802,511,505,213,64,24,46,26,34,378,664,828,942,991,990,971,1188,1540,1825,627,578,555,526,502,483,468,459,447,434,421,416,404,399,394,389,387,383,380,378,377,374,371,369,367,366,364,363,361,361,359,358,356,354,353,351,348,341,307,232,193,190,213,236,320,365,373,376,373,336,262,226,197,137,119,117,115,111,120,199,161,144,128,124,122,122,123,124,125,127,127,129,132,133,134,135,136,116,1,1,1,4501,4501,4501,3834,226,200,196,194,192,190,190,191,194,204,312,589,593,595,597,592,589,580,568,558,546,547,549,544,538,535,533,533,531,514,525,541,516,493,489,508,529,528,519,516,523,524,526,531,528,531,542,538,544,552,566,566,576,588,591,592,593,572,267,203,195,192,192,199,213,208,217,216,188,169,1,1,1,143,143,142,139,137,135,134,132,130,129,128,128,129,131,141,153,210,334,439,449,451,361,309,299,299,285,307,358,370,380,387,393,387,382,375,365,308,259,220,228,258,322,342,348,351,353,354,355,357,358,359,359,360,362,363,365,367,368,370,372,374,376,379,382,384,388,393,400,410,415,427,441,454,459,475,492,514,543,552,589,643,1612,1852,1595,1314,1171,1109,1092,1098,1090,1071,1044,783,395,177,42,14,453,505,554,1071,757,1015,1007,988,966,947,980,1049,1233,1335,1344,1537,1795,1914,2036,2100,2133,2150,2156,2158,2063,2094,2123,2131,2150,2161,2170,2181,2191,2200,2155,2042,1899,1802,1604,1421,1210,1091,1028,1003,1005,1019,1012,936,734,474,255,89,33,29,27,240,605,826,939,990,1005,998,976,948,1236,1620,857,591,551,533,510,491,471,457,448,437,424,412,406,396,389,385,380,378,375,372,370,369,367,365,364,363,361,360,359,358,357,357,356,355,353,352,350,348,346,337,309,274,283,326,349,370,379,387,390,399,403,408,413,416,421,429,437,443,452,468,485,496,499,514,526,537,542,515,297,180,156,146,138,137,137,138,139,141,143,146,148,151,155,158,161,171,181,186,191,190,192,1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