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,1,1,1,1,1,1,1,2125,2106,2080,2076,2061,2054,2055,2013,1997,1680,1852,612,617,620,619,604,598,618,619,1991,688,1997,1748,1941,2050,2066,2057,2071,2097,2119,2138,2160,3779,4300,3156,2779,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,778,1147,1148,326,1,114,116,118,118,119,121,125,144,147,143,137,1,2256,2261,2255,2750,1473,3569,4179,2415,2229,2225,2221,2220,2218,2217,2220,2222,2222,3255,3559,4501,4475,3669,4076,4501,4501,4501,3981,3897,2603,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4501,3541,67,1582,2437,1,1936,1977,1961,1907,1926,657,545,547,543,544,523,533,519,518,507,501,517,524,529,533,511,536,546,522,539,550,532,1243,1519,1958,1936,2002,1,1,1,531,1,3359,3187,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4501,4501,4501,4501,4501,4382,4153,4049,2282,2768,3155,3404,2584,2225,2223,2219,2217,2217,2216,2217,2220,2222,2224,3383,4426,3815,2373,2238,2241,2243,2421,1,1,143,139,121,119,118,117,117,112,56,15,1,1,1,1,7,1,1,1,1,1,1,1,1,1,1,6,9,12,10,9,6,1,4501,1,1,2982,2912,2288,2168,3485,2124,2116,2100,2076,2063,2054,2055,2027,1993,1997,626,1289,609,599,591,597,606,576,592,604,608,594,618,1861,617,1909,2009,2006,2048,2057,2064,2090,2105,2366,2167,2180,3220,4316,3359,2499,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,1152,1156,1155,1166,1,1,1,113,116,117,117,118,132,138,137,137,121,1,2248,2239,2231,2230,2237,2236,2232,2231,2224,1413,2084,1612,2125,1872,2221,2222,2226,2233,2234,2484,3139,2894,2268,2266,2270,2362,2422,4501,4501,4501,4501,4501,1,1,273,27,14,26,129,174,773,1126,1142,1155,1146,8,27,21,20,30,19,10,16,4501,1,1,1,1,1,1,1,3189,2867,2804,4501,2068,2045,2033,2014,2014,1969,1276,590,562,568,548,566,544,538,549,523,535,538,549,576,541,550,590,1354,1664,1980,1969,2008,2019,2053,2282,3758,2300,3606,3199,3459,3831,3977,833,1,1,1,1,1,1,1,1,1,1,1,1,43,1162,1139,1119,1110,1129,80,4501,1,1,1,1,4501,4501,4501,4501,4501,4501,2717,2524,2307,2267,2296,2701,3092,3219,2243,2233,2227,2222,969,816,815,990,818,1436,2210,2228,2235,2230,2228,1128,1818,2254,2267,2409,131,1,1,1,117,116,115,113,111,21,1,1,1,1100,1101,1114,1150,1169,84,1,1,1,1,1,1,1,1,1,6,1,1,1,1,1,4501,1,1,4501,2383,2549,2182,2134,2110,2096,2090,2075,2056,960,653,1901,632,630,619,600,587,599,605,601,594,579,585,588,591,587,601,604,609,595,606,624,635,2011,1865,2045,2061,2082,2089,2112,2155,2329,2332,2345,17,50,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1102,1079,1103,425,1,1,1,23,106,109,112,101,1,4501,2671,1,2304,2263,2250,2236,2222,2222,2223,2232,2233,2225,2222,2195,1977,1897,2203,2219,2223,2230,2236,2237,2303,3021,3780,4269,4501,4501,4501,2903,2677,4501,1,4501,1,1,1,1,1,1,1,1,1,1,1,1,310,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3237,3456,1,1323,2085,2053,2039,2025,2022,1905,1887,612,612,600,601,565,588,570,578,569,593,598,588,596,602,619,1242,1993,722,2031,2056,2064,2086,2114,3446,3146,2293,2666,2911,2953,3337,1,1,61,13,1,4501,1,1,1,1,1,1,1,1,457,1158,92,1,4501,1,1,1,1,1,1,4501,1,1,4501,4501,4501,2416,2162,2934,3729,4215,4223,3062,2242,2236,2231,2224,2219,2220,2218,1991,1985,2217,2221,2225,2226,2211,818,1290,2241,2253,2255,2264,2268,2274,2307,2433,313,49,1,4501,1106,1086,1003,667,996,1024,1024,1031,1050,1078,1094,1165,63,1,1,9,9,1,25,4,14,1,1,4501,1,4501,1357,2652,3228,2790,2223,2157,2137,1962,2103,697,678,672,655,650,633,624,637,613,613,605,593,602,599,600,593,587,580,582,582,585,588,599,582,601,607,593,616,610,640,626,646,671,670,678,1977,2025,2128,780,2156,3922,2413,2318,1600,4501,1,1,4501,1,1,1,1,1,1,1,1,1,1,1,1,25,1118,1101,1093,1096,1127,769,11,1,1,1,1,4501,1,239,1,2293,2315,2270,2266,2420,2253,2242,2232,2224,2166,2217,2226,2223,2220,1847,814,816,816,1304,2222,2227,2233,2238,2245,2246,2256,2264,2281,4501,4501,1,4501,1,4501,4501,4501,1,4501,14,1,11,4501,1,1,1129,1117,1133,1176,318,1,1,1,1,1,16,5,1,1,116,29,4501,3973,3957,3577,3142,2876,2661,3241,2186,2105,2064,2058,2043,2034,2013,2012,1988,620,616,582,591,579,595,583,605,616,605,604,616,673,2011,2034,2057,2078,2074,2100,2155,4129,3587,2173,1,3515,2713,4501,1,1,4501,4501,1,1,1,1,1,1,1,1,1,1,861,270,1,1,1,1,1,1,1,1,4501,4501,1,1,1,4501,4501,4501,3173,2837,2598,2460,2613,2903,2327,2238,2233,2230,1120,822,822,821,2138,2227,2227,2222,2215,810,1398,2234,2240,2249,2653,2441,2273,2279,2365,2308,1,1,4501,1,1,1,1,1,1,1100,1077,1069,1084,1116,1169,56,1,1,1,1,1,1,1,1,1,1,1,14,1,1,4501,3650,2768,2344,2231,2120,1362,2113,2000,689,677,660,639,647,635,633,634,624,597,597,594,596,604,593,589,587,580,573,574,576,580,584,587,586,598,599,595,593,598,631,607,632,641,650,660,673,934,2082,2043,893,4099,3204,1974,2351,2051,2445,1,4501,1,1,1,1,1,1,1,1,1,1,1,11,31,1135,1107,1079,1087,1096,1107,1030,154,5,1,1,4501,2193,2315,2360,2571,2319,2272,2266,2261,2257,2246,1225,836,829,810,811,1990,2228,2227,2123,822,822,824,827,827,831,2240,2251,2260,2262,2263,2462,4501,4501,4501,4501,4501,4501,1,1,1,1,1,1,1,1,1,4501,956,1160,1163,1173,1186,1197,1200,9,1,1,18,19,25,1,1,4501,1,4501,2838,2727,2773,2903,3493,3110,2471,2154,2104,2089,2083,2063,2036,2038,2029,630,627,606,602,601,615,569,616,622,687,621,643,729,2047,2055,2074,2095,2110,2139,2771,2460,3437,2990,2570,2623,2495,1,1,1,1,4501,9,1,27,1,1,1200,1164,1164,1150,1171,1186,1,1,1,1,1,1,1,66,18,15,4501,4501,4501,4501,4501,4501,2322,2314,2304,2288,2275,2265,2252,2082,1171,1137,830,825,825,1611,2228,2231,2222,823,810,818,831,835,2231,2253,2264,2272,2270,2277,2283,2298,2313,2324,2329,2333,1952,1065,550,192,615,1038,1034,1041,1058,1087,1154,12,1,1,5,7,11,16,10,2,1,1,1,1,1,1,21,2214,1,4501,2575,1,1799,2099,2082,1945,1766,649,631,636,600,606,619,610,588,604,598,583,597,592,580,577,580,572,573,569,569,572,577,576,584,583,580,590,596,600,589,606,605,603,608,632,1077,653,2058,2092,2026,3752,2165,4471,1178,2513,2708,2204,654,1,1,4501,1,1,1,1,1,1,1,1,1,1,1062,1083,1038,1015,1002,1001,1009,1035,1049,1022,1036,1989,2327,2313,2301,2289,2283,2270,1226,1370,2246,2259,2251,2242,829,824,815,806,806,818,2195,2227,2001,821,821,826,825,831,833,838,1119,1639,2263,2276,2289,2296,2306,2318,4501,4501,4501,1,1,4501,1,4501,9,29,571,878,1143,1144,1136,1140,1142,1143,1153,1187,469,1,1,1,1111,1094,1083,1053,4501,4501,2381,2260,2337,2508,2698,2486,1583,818,1490,804,1832,2046,1065,676,668,643,647,648,643,620,637,638,650,659,672,673,690,694,2095,773,757,1978,767,954,2358,2465,2350,2286,2280,2306,4501,1244,1169,1099,1132,20,2,1,1,1,13,1175,1182,1194,1111,1176,1117,923,933,934,682,328,215,442,686,4501,1068,1457,1850,2284,2307,2288,1492,1153,872,851,843,836,830,831,829,824,824,823,1462,1146,819,808,803,814,821,821,823,828,2162,1273,842,845,851,859,865,1128,2139,2301,2309,2325,2340,1950,1146,990,972,970,979,986,1016,1053,1094,1134,1175,1127,657,632,348,1,1,1,1,1,4501,1,2110,2458,2690,2909,3127,2262,2280,2129,2072,2056,2037,2020,620,620,603,592,610,596,575,573,587,576,577,578,571,569,561,564,565,557,559,543,544,549,564,568,570,560,565,566,570,556,589,587,590,606,593,607,591,625,641,2031,2050,2055,2078,2113,799,2337,2942,2217,2706,2701,4501,4501,479,485,9,23,6,31,1,1,1,1,1119,1099,1045,1018,1003,995,990,998,1020,1037,1047,1090,1481,1997,2320,2312,2298,2289,2280,2268,1583,2253,2254,2256,2254,964,834,832,831,818,813,824,1192,2248,2251,2247,2243,1215,1139,1500,2122,1950,1279,2268,2287,2295,2316,2332,2343,2151,1722,1453,1195,610,280,105,23,1,4501,1133,1137,1142,1150,1172,1194,777,1090,1109,7,1,13,24,10,1,850,371,168,4501,2274,2305,2301,2419,2735,2749,2446,897,859,1287,1214,2095,1230,698,686,669,658,660,661,647,1838,2047,1,33,34,34,37,1,1,1,1,849,1679,2241,2509,2321,2330,2288,2312,4501,1,1,1,4501,254,1,1,1,4,1,23,1022,1161,1150,1112,1097,1097,1106,1116,1130,1092,954,870,960,1000,1040,1860,2317,2342,2326,2301,1163,871,864,858,852,846,843,837,830,830,830,828,824,817,807,803,812,816,819,819,820,826,831,833,834,841,847,852,860,866,876,2038,2303,2312,2331,2320,1123,945,945,947,964,977,980,999,1029,1070,1112,1144,1165,1158,1152,1127,1134,1084,1036,1928,2240,2286,2247,2211,2195,2109,2016,806,1852,1954,983,1216,642,626,632,627,577,611,600,568,565,574,574,564,551,552,559,553,538,526,536,540,537,522,533,532,519,537,529,544,555,552,549,555,549,554,550,558,579,590,560,603,589,619,646,637,659,2015,2093,2078,2621,2478,2205,2261,2930,2358,2284,2315,1659,1256,689,3,682,1178,1203,1,1,574,1117,1074,1029,1009,1007,992,991,1012,1016,1038,1063,1108,1487,1954,2303,2312,2292,2286,2278,2270,1994,853,848,998,2245,2183,833,827,822,821,810,808,815,827,831,836,838,839,844,844,851,852,859,1591,1580,2155,2301,2309,2319,2337,2319,1707,1014,1002,1024,1050,1077,1093,1088,1098,1125,1161,1169,1206,579,1167,1221,1220,850,1,12,8,1076,1104,1073,1021,1678,1933,2304,2270,2260,2240,2219,1685,883,1835,1936,827,740,726,715,704,699,1,1,61,71,663,675,684,698,701,710,731,948,2131,766,777,792,2160,1936,2231,2261,2283,2297,2328,2197,1789,1497,1221,1119,686,1,1,6,24,1116,201,1,1,1,67,1119,1070,1071,1097,1099,1116,1110,1113,1103,1088,1371,2266,2330,2325,2319,2302,2265,1675,1057,1378,1807,1239,1320,842,840,835,832,828,812,811,823,824,824,825,830,972,1001,837,836,841,846,1285,872,881,1479,1138,2268,2304,2321,2330,2349,1700,954,958,958,968,980,993,998,1030,1082,1137,1172,1189,1175,1135,1048,890,797,939,1519,2198,2381,2888,3569,2781,2392,4364,4038,2150,2830,1933,786,1226,621,599,590,559,597,577,567,569,573,561,561,559,554,555,553,547,542,537,534,537,526,521,517,521,526,519,529,538,545,548,545,541,553,543,558,559,550,580,572,567,604,602,602,624,633,643,2041,2071,3351,3128,2257,3745,2269,3538,3909,4501,4501,1097,311,3,1,1,1,1,1,1,280,1089,1035,1006,999,981,973,965,963,967,1175,1978,2315,2331,2322,2305,1940,1616,1753,1726,1492,1276,853,851,848,1595,1433,1807,849,839,837,837,836,820,825,840,854,860,2262,2273,2279,2287,2292,2297,2304,2313,2274,2221,2271,2089,1690,1440,1285,1103,1088,1121,1155,1143,1107,1102,1110,1164,1184,27,1,1,35,1174,1,1,1,13,1116,1115,1103,1099,4501,1,1,6,1,2261,2237,1897,1092,798,785,772,1413,753,735,724,718,708,709,701,693,229,230,236,247,250,253,258,254,250,259,289,189,178,178,182,183,185,176,1,1017,1030,1063,1097,1117,365,1,1,1,8,1219,1219,1224,1205,1172,1126,1100,1089,1106,1124,1126,1119,1114,1090,1075,1048,2190,2180,2237,2279,2311,2319,2305,2295,2290,2286,2278,2269,2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