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6,2062,2069,2079,2091,2108,2126,2138,2153,2190,2428,2805,3746,1,4501,2343,2336,2143,1464,1843,1822,2111,1839,2090,2063,2076,2174,1655,1211,947,877,941,802,837,972,1909,2173,4434,1,21,109,108,107,107,105,105,108,112,108,104,102,101,100,103,101,98,98,98,97,96,95,94,94,96,101,115,96,92,97,1929,636,643,645,643,643,645,658,678,705,890,2154,1835,811,917,880,1706,2170,2233,2143,2252,2259,2271,2281,2291,2308,2324,2285,1920,1548,1315,1196,1153,1138,837,19,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,15,30,1,1,1,1,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4501,1,1,1,1,13,232,543,866,1696,2237,2303,2289,2276,2259,2251,2238,2235,2227,2223,2222,1952,1338,1149,838,797,2037,2131,742,840,677,656,646,644,646,645,644,631,434,96,92,102,114,99,92,94,94,95,97,98,99,97,97,101,102,103,101,103,105,109,112,108,106,105,106,107,109,110,111,117,2124,2147,1584,1227,897,1252,852,1413,2041,2132,2116,2215,2223,2229,2234,2239,2247,2253,2259,2270,2280,2295,4501,1,1,1229,2406,2764,2536,2273,2144,2110,2086,2069,2055,2054,2039,2028,2018,2006,1994,1966,1968,1496,731,573,566,566,567,564,560,556,571,563,553,558,562,562,563,565,562,878,1180,1751,1976,1991,1996,2006,2021,2032,2039,2047,2061,2072,2094,2143,2154,2158,2552,3066,3653,3772,4501,2638,2282,2260,2249,2238,2229,2226,2222,2212,2180,2202,2194,1606,1011,865,1064,759,753,746,742,735,1204,2093,1,1,108,107,107,107,107,106,108,108,106,103,102,100,100,98,99,98,99,99,98,95,93,93,94,95,105,103,93,92,107,414,642,646,647,647,645,645,654,672,697,713,1791,2104,1711,1110,961,1801,2105,2198,2198,2204,2207,2214,2220,2223,2236,2248,2264,2271,2286,2300,2309,2323,2233,1912,1526,1321,1220,925,235,20,11,1,28,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,557,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,960,994,1313,1594,1918,2099,2262,2268,2256,2238,2230,2218,2212,2203,2204,2194,2190,2187,2184,2184,1600,1751,825,1114,765,803,896,706,691,672,654,649,651,652,653,652,645,1980,97,92,96,122,102,94,94,94,94,96,98,98,98,98,100,102,100,101,102,103,105,107,108,110,120,121,117,121,1,1,1,1,707,716,725,730,734,741,748,749,758,765,787,984,1438,991,1664,1636,1277,1900,2120,2225,2250,2258,4501,3943,3982,3806,2902,2181,2116,2100,2091,2071,2046,2041,2040,2027,2011,2008,1832,1370,1686,709,563,572,565,565,560,557,557,554,552,559,558,553,551,551,551,554,558,557,561,558,556,737,869,1366,1560,2000,2017,2031,2031,2045,2058,2077,2088,2103,2119,2139,2371,2830,3423,3614,2318,2100,2179,1289,1530,862,888,1075,766,757,753,747,740,732,725,721,715,711,703,702,695,685,676,664,656,641,622,681,251,132,128,122,108,104,102,101,99,99,101,99,99,99,99,98,95,94,93,94,97,110,96,92,93,155,649,650,653,654,653,651,649,651,667,684,696,823,889,1378,1823,1466,1981,2162,2162,2162,2167,2169,2171,2175,2179,2184,2188,2193,2197,2209,2219,2229,2240,2250,2258,2269,2287,4501,4501,4501,23,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,31,4501,4501,4501,4501,416,1,1,4183,4501,4501,4501,4501,4501,4265,1,28,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4501,1,1,1,4501,4501,4501,2284,2699,2502,2380,2249,2218,2203,2191,2181,2176,2174,2171,2169,2164,2162,2156,2154,2150,2146,2146,2076,1478,931,1240,738,722,705,687,676,661,652,651,654,658,657,656,651,781,1,34,92,111,107,95,95,93,94,96,98,100,99,98,95,97,99,100,101,103,105,109,132,166,536,589,604,624,637,648,654,665,672,680,685,689,693,700,705,707,716,723,728,737,740,747,755,762,877,1030,2145,1967,2205,2211,2424,3175,3215,3069,2180,2113,2087,2070,2064,2044,2032,2023,2020,1558,951,704,720,580,559,557,555,555,553,550,549,552,553,553,556,559,556,551,548,548,546,544,543,545,553,552,548,553,563,568,584,753,892,1609,2011,2024,2033,2055,2064,2081,2095,2115,2230,2599,3223,2546,1934,2037,1023,795,757,741,740,730,724,715,711,706,699,690,683,681,677,673,668,665,660,654,646,636,629,618,600,571,552,479,160,125,111,105,102,101,99,98,97,94,98,98,98,97,95,94,93,95,100,117,95,91,94,1,1,1,1,1,67,655,654,651,657,671,680,696,708,716,719,723,722,721,748,925,1960,2132,2138,2139,2143,2146,2147,2150,2151,2156,2160,2170,2180,2186,2192,2201,2209,2213,2411,2483,2505,4501,4501,4501,1,1,1,1,1,1,1,1,1,1,1,1,4501,1,1,1,1,1,1,1,1,1,1,4501,1,4501,4501,4501,4501,4501,3886,3477,2841,1,1,3919,4501,4501,4501,3561,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4501,4501,4501,4501,4501,3414,3321,2752,2303,2192,2169,2164,2155,2150,2144,2138,2135,2132,2131,2128,2126,2123,2119,1642,2089,1094,850,1013,708,708,707,705,700,690,682,671,661,655,655,657,657,663,662,662,657,650,1,1,91,101,113,98,95,94,95,95,98,98,98,98,98,97,98,99,101,103,109,118,126,109,100,109,166,564,595,610,613,626,632,638,645,649,651,658,661,664,670,679,684,693,696,702,710,718,942,1167,1799,1980,2090,2167,2174,2503,2859,2376,2114,2083,2062,2042,2035,2009,2003,1999,1973,1456,865,569,542,540,530,531,537,539,530,534,527,532,533,533,540,547,541,537,532,528,528,521,523,523,532,527,518,526,531,542,552,566,732,952,1427,2005,2006,2024,2039,2055,2079,2099,2470,2931,2392,2151,1686,1213,744,845,7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