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8,2089,2090,2090,2092,2091,2095,2098,2099,2076,511,368,2059,2092,2057,766,772,775,1023,2148,2154,2160,2159,2166,2182,2189,2196,2207,1,82,119,118,117,118,119,119,119,115,816,1009,1022,1043,1064,1092,1113,1151,1184,1212,1223,1229,618,105,1,1,3,22,72,34,68,26,4,1037,1030,1021,950,958,88,92,91,90,1,447,853,834,825,819,812,803,1459,789,779,772,765,760,755,751,748,742,736,736,742,747,751,752,758,764,768,774,779,789,800,809,815,822,830,841,2063,89,94,92,91,26,4501,938,991,1044,1069,482,17,49,42,111,23,123,20,23,80,2,1226,1225,1206,1155,1135,1108,1068,1028,1001,985,973,961,998,118,120,118,117,117,117,117,117,109,1,2198,2190,4501,1,1,4501,2156,2148,780,774,773,765,2103,2065,419,344,432,2056,2097,2094,2090,2086,2086,2085,1655,1756,726,726,726,818,977,1933,1223,737,1015,2101,2101,2103,2108,2114,2116,2121,2124,2133,2146,2155,2163,2179,2195,2207,2219,4501,4501,4501,1,4501,26,12,37,27,1,1,1,1,664,2957,3522,2983,2042,2020,807,647,636,637,642,640,631,631,619,618,602,582,575,569,567,569,569,565,564,562,560,559,559,561,563,561,544,515,498,498,507,538,559,561,560,559,560,561,564,565,566,568,570,566,569,576,583,602,612,627,633,633,643,636,624,630,1981,2003,2001,3005,3406,3546,3984,3701,3621,3920,2944,230,1,1,24,59,4501,4501,4501,2265,2247,2201,2187,2173,2160,2147,2139,2125,2117,2107,2103,2013,739,738,955,1761,1906,997,1332,1099,1149,723,718,719,721,738,1356,2083,2082,2082,2084,2093,2096,2095,2075,448,335,311,1970,2067,2119,773,776,813,2149,1,99,99,91,79,1,1,1,117,116,116,117,117,118,117,114,1,973,981,1002,1016,1039,1068,1095,1112,1147,1187,1220,1231,870,19,1,1,1,24,136,24,59,49,64,20,1051,1111,1025,961,921,19,94,94,95,94,70,1,1,1,807,803,794,784,776,770,763,758,751,747,743,738,734,730,728,735,739,742,745,750,757,761,767,772,782,788,796,802,814,823,1597,1,97,96,97,81,1,918,930,994,1044,1075,929,33,50,48,27,23,25,20,194,6,1,407,976,489,1173,1154,1126,1101,1060,1030,1001,984,971,957,955,47,118,119,116,115,116,116,115,113,79,85,92,96,101,101,1,1,2117,2136,2130,2115,2170,276,285,317,402,2008,2090,2094,2091,2083,2074,2075,2074,2079,1003,717,715,716,715,714,716,718,720,721,725,725,726,729,729,729,2092,2098,2109,2118,2128,2137,2150,2164,2174,2193,2215,2236,2254,2269,1865,848,427,77,1,1,1,1,1,4433,4472,4501,4501,3908,1995,1990,1970,1965,630,619,626,626,623,613,596,578,569,558,560,564,566,566,567,565,563,562,562,562,561,560,544,513,496,503,510,544,562,562,564,565,565,567,566,567,568,569,566,561,562,565,573,601,617,614,624,632,617,1923,1941,1933,1983,2006,3321,4501,3718,4309,4106,4313,3125,1,1,1,1,1,4501,1007,1272,1707,2162,2191,2165,2149,2141,2132,2122,2113,2107,2094,1755,1089,1037,724,716,715,717,715,713,712,712,710,709,706,741,951,1677,1938,2071,2073,2073,2073,2076,2084,2084,2084,2056,413,321,274,256,32,2128,2126,2138,2149,3095,1,102,101,95,91,91,109,116,115,115,116,116,116,118,1,970,963,972,990,1000,1007,1024,1055,1076,1098,1134,1170,1190,1206,1221,1170,23,22,29,24,31,57,39,28,85,173,994,1027,987,931,891,900,2277,100,99,98,99,11,1085,807,799,793,784,775,770,764,757,753,747,742,739,734,731,725,724,728,732,735,737,742,746,751,757,762,769,779,787,792,801,2168,1,103,102,101,4501,886,877,887,905,946,1008,1020,1051,789,30,65,41,135,112,28,28,1,25,1215,1211,1192,1150,1123,1098,1072,1050,1023,1001,987,971,956,946,2083,4501,1,118,115,115,114,111,100,93,92,92,96,114,115,1,1,1,2062,2102,3457,226,258,270,310,379,2020,2090,2089,2090,2080,2068,2066,2067,2070,2066,707,701,701,700,701,703,704,704,707,705,704,703,704,705,706,707,710,713,718,724,732,826,757,781,767,1469,2153,2180,2191,2222,2244,4501,4501,1,1,15,1,1,4501,4501,1,4367,4199,3409,3380,4394,3448,1946,1952,595,616,613,606,596,569,558,552,554,559,564,559,558,557,553,552,551,548,547,547,541,514,500,500,507,536,547,548,548,547,551,555,558,560,565,568,565,557,555,551,540,576,601,620,603,622,1763,1960,1959,3206,2001,2018,3503,4501,4501,1,1,1,1,4501,1,2274,2261,2236,2209,2184,2160,2138,2123,750,739,732,728,722,717,711,707,701,699,698,696,696,692,691,693,691,693,692,690,690,689,694,696,696,1332,1030,2067,2067,2070,2071,2076,2087,2087,2089,2067,434,318,271,250,222,215,1,3464,3476,1,119,121,107,95,91,92,93,95,99,106,113,114,111,73,1,1225,1004,982,997,1017,1029,1052,1087,1111,1127,1148,1181,1203,1208,1215,1239,16,12,30,28,24,40,40,41,39,823,980,975,934,901,885,872,872,1745,1,107,105,107,1,2156,796,781,774,764,759,754,748,744,742,733,729,727,720,719,716,720,724,726,731,736,741,743,747,750,759,775,1120,2050,38,112,111,109,107,1165,843,868,863,879,891,911,956,976,1005,1040,223,86,51,31,26,35,37,24,1,1208,1207,1202,1183,1165,1143,1120,1093,1074,1082,1114,624,6,7,45,98,101,99,97,97,96,95,93,92,91,90,95,120,126,128,1,20,1,1,1,224,256,275,315,405,2042,2096,2094,2091,2079,2073,2069,2068,2066,2058,2052,2049,2042,687,685,685,684,686,684,682,681,680,681,682,682,688,689,689,691,693,697,703,709,711,718,723,729,738,744,757,2148,2169,2181,2197,2216,2318,2286,1,762,2355,1,4501,4133,2135,2018,1981,1961,1953,1198,922,611,599,602,574,522,515,509,503,516,528,542,548,549,550,545,545,544,544,545,543,517,502,503,510,539,544,543,541,541,548,549,549,546,543,529,521,492,492,525,548,582,588,624,628,635,643,1986,1985,1983,2018,2711,3638,826,1,1,1,1,3129,2194,2170,2147,2132,2121,741,730,718,713,708,702,699,694,692,688,683,681,679,679,678,672,671,670,669,669,674,677,678,678,680,681,681,684,684,685,688,690,965,1809,2060,2062,2068,2077,2086,2082,2064,466,316,268,250,218,194,175,166,152,140,129,107,101,91,89,91,92,93,94,95,96,97,99,99,101,102,103,103,105,98,73,44,16,10,3,18,29,3,1085,1224,86,2,130,33,24,125,310,41,44,44,743,980,974,922,885,874,872,864,849,830,3772,1,115,116,117,1,1,1,1,742,738,733,730,727,724,720,717,713,709,709,713,714,718,720,724,727,728,731,734,1020,2105,3246,1,121,120,120,1,2180,842,834,1859,868,1034,891,1268,1025,1129,1059,1062,136,57,60,35,49,57,84,57,18,777,1229,1,1,64,106,112,112,111,109,107,106,104,102,101,99,98,97,95,95,94,92,92,90,90,89,91,108,117,130,145,154,172,178,194,221,256,270,308,419,2050,2087,2087,2083,2071,2063,1632,876,1664,1534,680,675,672,669,671,673,675,673,672,671,671,668,666,666,664,666,668,669,667,667,671,674,678,679,684,687,690,693,697,705,715,722,732,1750,2126,2144,2163,2170,2165,2976,3140,836,4501,2442,2015,2006,1981,1992,648,648,646,635,626,612,597,587,566,548,543,550,558,554,552,545,541,533,531,534,539,538,523,511,514,520,533,533,529,528,532,543,551,552,546,547,541,540,562,578,597,616,631,631,641,633,625,1971,1951,3576,3396,3410,1,1,1,4501,1,1,1,1,1,1152,716,705,701,693,686,682,678,674,669,665,663,663,661,662,661,660,659,658,658,658,659,660,661,663,662,664,665,663,664,663,666,671,675,678,679,688,696,700,704,709,2083,2090,2089,2081,1836,316,265,247,218,193,175,167,152,140,129,99,94,88,88,89,90,91,92,93,94,95,96,97,99,100,101,103,105,107,108,109,112,114,116,119,120,100,4,21,1,1,17,53,33,63,72,53,28,40,442,4501,4501,1729,883,868,853,2124,1559,977,2165,2154,4501,128,127,127,130,1,1726,723,721,720,717,716,711,710,707,707,705,704,702,703,706,708,710,714,715,719,720,2051,138,136,136,138,139,141,143,144,145,147,148,149,150,152,153,155,156,157,160,162,163,165,168,170,173,174,176,176,177,177,140,118,116,114,111,109,107,105,104,102,101,98,97,96,95,94,92,92,91,90,89,89,88,87,87,97,102,130,143,153,166,176,193,218,253,271,322,1898,2080,2083,2085,2080,2072,2057,2055,2051,720,682,677,675,669,664,657,655,655,656,655,654,653,651,651,650,650,650,650,651,649,649,648,649,649,649,649,651,653,658,660,665,671,678,681,687,697,709,723,730,745,756,2122,2474,4501,4501,2074,2007,2894,1019,1930,961,615,628,619,615,608,601,548,531,535,549,546,539,540,541,542,543,543,546,548,550,538,522,529,536,553,552,550,546,541,549,548,546,556,563,556,549,560,582,598,608,616,633,637,1926,1968,1938,3500,2067,2029,2046,3355,2268,1208,741,727,713,700,694,681,672,667,664,663,659,655,650,645,642,639,639,638,638,637,638,638,637,638,638,639,641,642,645,646,650,651,652,652,654,657,659,665,670,673,679,682,685,973,2045,2051,2055,2075,2085,2086,2086,2074,391,278,253,217,191,165,161,151,137,116,94,90,87,87,88,88,89,90,91,92,93,94,94,96,97,98,99,101,103,104,106,108,110,112,115,117,118,49,3,30,92,65,56,56,70,66,49,30,1,2336,2300,2277,1171,2121,1848,2049,1364,1157,2084,1989,1664,2090,1494,2095,2085,2079,717,717,714,712,708,704,703,699,699,695,693,693,688,688,690,694,695,699,703,706,710,711,712,715,720,725,737,748,755,767,776,785,799,810,821,830,843,919,1102,1762,1361,4501,1,4501,33,43,27,65,82,31,28,2,10,118,116,114,111,109,107,105,103,102,101,99,97,96,95,94,93,92,91,91,90,89,88,87,87,87,95,99,127,138,150,157,158,184,241,1,1,2010,2067,2078,2078,2076,2069,2061,772,687,682,678,675,673,673,669,663,658,655,651,649,646,643,643,641,636,633,632,629,628,630,629,629,628,628,628,629,631,632,633,635,636,639,646,650,653,655,658,661,670,673,681,690,708,1682,2096,2096,2810,2056,2105,4383,3130,1970,1983,1788,634,620,615,602,564,559,545,539,547,556,553,549,547,543,535,532,531,535,536,517,523,532,539,530,533,532,540,553,554,551,553,552,545,536,659,585,600,623,640,652,646,1996,2010,2943,3333,2070,2080,725,706,694,681,676,665,660,655,653,649,647,644,641,639,637,634,630,628,626,624,622,620,619,618,619,619,620,621,622,623,626,628,634,635,638,639,642,643,648,652,653,660,665,667,668,669,672,684,689,1058,2060,2073,2075,2078,2082,2082,2071,2064,2063,2054,147,145,145,147,129,118,93,90,87,88,89,89,90,91,92,94,94,95,96,98,99,100,102,103,106,106,108,111,113,115,118,118,114,1,179,1,9,120,21,1,1,44,31,13,1354,1985,2214,2200,1211,836,866,807,800,790,778,765,760,745,736,725,716,711,707,707,707,707,703,700,696,692,689,685,682,681,672,677,678,683,686,691,695,697,699,702,702,704,704,707,719,731,737,749,759,767,780,794,799,843,826,1117,1519,2087,4501,4501,4501,910,79,43,29,25,21,57,9,1,1,14,122,121,117,114,112,109,107,106,105,103,101,99,98,97,95,94,94,93,92,91,90,89,88,87,98,104,127,129,1,10,146,146,61,2076,2080,2078,2089,2092,2080,2075,2065,2060,2043,1485,678,675,666,664,665,661,656,653,651,648,645,641,640,639,636,632,627,626,622,620,619,619,619,619,618,620,621,623,625,628,630,631,632,635,638,639,642,645,649,654,656,660,667,671,678,690,703,714,718,2070,2030,2002,2009,1993,653,646,64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