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3,505,500,484,491,489,494,499,503,510,509,513,522,538,527,551,579,597,600,614,609,981,1475,1884,1909,797,22,1,1,1,1,1,4501,74,68,1,4501,2334,2321,2289,2258,2247,2227,2211,2200,2189,2183,2167,2150,1,104,107,105,103,102,101,101,100,99,99,99,99,98,98,97,96,105,183,326,1700,611,565,568,567,550,508,379,198,115,111,110,110,110,109,109,106,113,175,479,573,586,594,609,724,717,667,1064,2102,2152,2162,2173,2192,2324,2247,2287,2266,2275,2300,2306,2314,2323,2336,2352,2302,1,1138,480,723,4,19,24,10,12,30,30,48,21,23,66,1,1,1,1,1,1,160,1752,1024,4501,2248,2279,2251,2372,2313,2190,1,1268,2037,1863,2766,2573,2209,2750,2487,2862,2134,2309,658,1992,1540,1966,2881,2980,3401,2441,3015,2740,2451,1,1149,2495,787,1872,2026,2217,2250,1753,1743,1918,979,1892,4501,1530,1,4501,28,8,6,1,1,1,1,4501,1,1,1,34,271,493,354,669,840,23,1879,4501,4501,780,2669,2526,2452,2335,2267,2251,2229,2205,2177,2164,2141,2119,1955,913,659,628,403,590,584,560,280,127,112,111,110,110,110,110,110,111,118,196,360,490,547,566,569,568,647,1617,514,292,115,98,97,97,98,98,99,99,99,99,100,101,101,103,104,107,110,118,163,2147,2179,2189,2192,2204,2212,2225,2238,2251,2261,2274,2292,1,49,75,84,1,4501,1,1,1,742,36,1972,1049,762,601,619,627,625,595,570,559,553,530,521,348,517,515,507,506,502,501,493,486,496,499,497,516,513,474,472,497,522,520,511,502,495,497,495,496,450,509,517,518,515,514,523,552,564,572,589,600,617,615,588,623,1055,1804,2008,2004,442,1,1,1,1,1,1,1,1,4501,2327,2312,2273,2249,2239,2225,2208,2196,2189,2184,2179,2162,1,1,107,104,103,101,101,100,100,99,99,99,98,98,97,97,97,134,1,1,998,596,583,581,580,567,528,427,337,149,114,111,110,110,110,110,110,110,112,122,185,543,569,587,610,631,679,1255,2072,2127,2149,2158,2187,2223,2231,2240,2267,2286,2307,4501,2330,2335,2326,1,267,873,1183,1126,1111,1102,1123,1013,595,275,1,1,1,1,1,1,4501,1,1,1,4501,4501,2245,1557,902,932,849,848,1887,2210,2057,1271,1692,1972,2158,2250,2481,2533,2554,2840,2682,2578,2197,2102,2067,2066,2098,2114,2309,145,1871,2108,2760,2995,3047,3069,2811,2795,2615,2395,2258,2260,2263,2303,2300,4501,1374,4501,4501,1,2,4501,1,1,5,28,7,38,21,1,1,4501,385,593,570,1039,1,946,1098,1313,1639,4501,2127,1332,4501,4501,2470,2425,2259,2389,2226,2246,2169,2152,2128,1980,1157,843,1364,751,553,419,200,127,114,112,111,110,110,110,110,111,111,113,154,314,456,524,529,577,579,1057,603,1297,1969,1,1,1,97,97,98,99,99,100,99,100,101,101,102,103,105,107,111,118,1,1,2128,2186,2194,2204,2215,2226,2253,2250,2263,2274,2299,1,60,79,1,4501,1,1,1,1,1,1,676,775,652,587,611,610,581,596,614,587,556,558,532,521,518,518,514,506,502,501,495,495,493,501,511,518,504,478,472,451,521,519,509,494,497,496,504,506,511,506,514,520,531,553,567,572,574,608,597,600,597,611,581,577,618,781,1909,2003,344,4501,1,1,1,1,80,72,13,4501,2329,2318,2282,2251,2241,2227,2212,2199,2190,2183,2176,2169,1,1,40,105,103,101,101,100,100,99,99,99,99,98,97,97,103,1,9,1985,1493,609,600,592,584,567,544,517,474,323,136,113,111,111,110,110,110,110,111,111,112,117,122,147,279,741,762,1853,1,1,1855,2150,1925,2109,2253,2395,1845,1885,2223,1506,2328,2348,2350,2055,2112,1891,4501,1031,1045,590,775,304,283,2,1,4501,1,1,1,1,1,1,4501,1,1,1601,1,4501,1,1,2143,1810,1514,908,2249,2119,1750,740,774,1446,101,1588,2198,1978,1789,2155,2206,2206,2145,2079,2184,1974,1197,2113,2476,2454,1609,1567,1278,2342,2250,2147,2166,1948,951,840,1028,1020,1292,1495,1760,1380,4501,335,1,1,1,23,29,177,48,30,24,1,4501,512,737,812,826,933,974,993,1096,1488,1816,2014,2147,2244,2300,2313,2300,2274,2255,2239,2229,2517,2159,2138,2111,2083,2059,1701,433,147,117,100,113,112,111,111,110,110,110,110,111,112,120,177,374,369,524,553,531,587,591,604,613,705,1818,2007,1522,1,92,97,98,99,99,99,99,100,100,101,101,102,104,106,110,117,1,1,1,2130,2195,2209,2217,2233,2244,2254,2265,2281,4501,1,1,1,1,1,1,4501,1,1,996,1966,1529,599,582,609,619,610,617,593,603,587,581,567,555,543,534,528,521,519,513,507,504,500,499,512,518,518,498,471,468,491,524,522,510,503,489,339,502,510,492,521,527,531,537,547,569,566,581,596,603,597,618,612,605,580,571,1665,1493,98,1,1,1,1,1,1,1,4501,55,1,4501,2329,2234,2252,2247,2237,2216,2223,2193,2186,2179,2166,1,112,108,105,104,102,102,100,100,100,100,99,99,99,98,102,134,1,100,1359,1385,659,611,584,576,568,553,492,481,445,297,142,116,113,111,111,111,111,111,111,112,112,112,113,114,119,131,168,1,2023,2134,2124,2161,2213,2222,2240,2262,1926,2273,2305,2333,1313,1774,1751,2370,4501,4501,795,890,953,907,948,1022,616,601,177,31,7,8,1,28,27,58,4501,1,4501,999,1112,888,874,865,859,849,840,1538,2222,2235,2226,1443,1794,2029,2127,2154,2154,2147,2173,2142,2197,2087,2098,2130,2140,2138,2239,2276,1925,2139,2247,2206,2229,2217,2229,2240,2167,842,845,857,860,869,881,905,1327,1047,1,1,1,12,1,1,1,1,4501,1,1,1,95,516,751,895,964,991,1031,1313,1670,1827,2059,2354,2344,2335,4501,14,2392,2253,1693,2049,1393,1631,1,1,11,118,111,114,106,112,111,111,111,110,110,110,110,110,111,116,133,202,362,486,521,541,556,569,587,594,571,618,624,1602,2008,1997,1,1,52,98,99,99,100,100,100,100,101,102,102,104,106,110,116,1,2186,2190,21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