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,253,238,175,140,113,104,101,101,100,100,101,101,101,102,101,100,100,100,102,104,104,105,104,103,105,107,126,273,325,335,338,342,351,356,355,356,356,357,360,361,367,376,408,423,430,436,438,441,442,444,446,450,453,462,490,515,522,526,543,586,617,623,630,643,666,697,705,701,696,686,681,672,665,660,655,654,651,645,643,647,652,664,666,668,672,675,684,691,1028,1122,775,709,679,649,634,621,608,607,542,504,489,492,489,463,438,431,431,429,424,422,424,422,415,414,402,377,351,343,343,344,342,340,340,339,339,338,331,324,322,311,206,111,130,157,111,102,101,101,101,100,100,99,100,101,101,101,100,100,100,101,101,101,102,129,167,198,228,243,254,257,256,255,255,255,255,258,259,262,264,266,268,268,270,270,271,273,275,276,277,279,282,285,288,291,295,299,301,304,306,308,308,311,314,318,322,301,225,67,59,59,59,63,332,366,367,373,383,391,430,450,465,476,487,492,494,499,505,522,550,585,599,632,660,671,1525,1950,2039,2098,1866,1863,1330,754,758,730,703,696,696,695,691,684,674,682,687,688,690,695,698,703,1011,1655,1949,1837,1968,2055,2110,1457,677,658,628,597,584,542,521,509,502,498,499,493,481,466,457,435,395,386,372,359,333,277,80,59,59,60,80,285,325,337,336,328,324,318,315,311,313,308,305,304,300,298,295,291,287,285,283,280,279,278,276,275,273,273,272,270,266,264,261,260,258,257,257,258,258,258,253,242,215,194,137,106,101,101,101,100,100,100,100,101,101,100,101,101,100,100,100,100,101,115,210,165,117,133,306,332,336,342,344,344,345,344,347,346,349,352,353,361,388,407,427,429,432,433,434,434,437,441,445,459,489,498,500,505,517,570,611,620,628,637,653,682,705,777,1698,2029,2067,1863,1899,1973,1329,893,697,655,646,663,664,1913,2062,2072,2079,2088,2095,2101,2110,2119,1729,722,665,646,636,630,621,606,537,507,501,498,495,489,462,447,445,442,439,437,436,436,437,434,409,380,364,354,351,347,348,346,341,341,342,342,340,330,330,309,142,119,133,127,102,99,99,99,101,102,102,101,99,98,101,100,100,101,102,101,102,102,106,148,202,225,239,249,256,257,256,255,255,256,257,258,260,263,266,268,270,271,273,273,275,276,278,280,281,284,288,292,294,297,300,302,304,308,312,314,316,322,330,335,339,335,308,101,63,60,60,61,292,348,359,366,382,419,441,450,478,493,496,500,503,507,515,545,564,600,610,633,658,679,1910,2071,1724,1699,984,1041,712,712,1071,717,687,679,682,681,679,672,661,671,671,672,670,672,679,916,1934,1700,1154,1106,1372,1159,974,713,696,673,640,613,603,587,572,537,515,507,507,498,495,492,478,457,427,406,356,302,210,97,61,61,62,74,259,327,328,328,325,321,318,307,303,299,299,299,301,300,298,295,294,291,286,283,281,279,277,276,274,273,273,273,271,269,266,265,262,260,258,258,259,259,259,259,255,247,237,225,166,110,102,102,102,101,101,101,101,100,97,97,97,101,102,101,100,101,104,105,104,104,108,131,301,324,329,335,334,336,334,334,334,336,338,337,341,346,368,382,419,423,421,422,424,426,428,434,437,456,478,480,484,487,497,534,601,617,630,636,646,663,1008,1806,2073,2103,2151,2145,2131,2117,2102,2089,2078,2070,2063,677,1853,2083,2098,1977,2088,2076,2113,2013,2078,2004,751,678,658,645,637,628,608,591,525,493,487,484,479,472,452,436,432,425,423,421,420,420,418,408,376,355,342,335,334,332,333,332,331,331,332,332,332,326,321,308,204,107,108,117,198,130,104,101,101,102,100,99,96,100,102,102,102,101,102,102,102,103,129,194,230,238,245,253,258,259,257,256,256,257,258,261,262,265,268,270,272,272,271,272,274,275,276,278,280,284,288,290,290,292,293,287,263,216,196,223,257,286,303,315,323,323,314,287,112,64,62,61,115,277,334,379,414,443,468,476,478,488,493,499,506,530,559,577,586,594,620,641,1633,1511,1925,2082,2116,2071,2106,2032,2064,1402,682,1358,672,659,659,660,650,634,616,647,649,654,655,654,663,669,672,678,1052,815,1797,2065,1819,1912,2064,2079,674,637,619,593,577,572,557,516,498,489,485,479,474,468,458,424,330,226,99,69,63,65,67,72,141,150,156,190,229,153,110,104,112,115,111,113,130,212,210,230,229,243,251,233,228,235,246,270,255,257,260,275,274,273,270,267,264,262,262,259,259,260,260,261,258,251,243,238,211,144,110,105,103,102,102,101,102,102,101,100,99,99,100,101,102,106,129,141,116,109,126,262,319,333,339,341,341,340,341,341,342,340,343,345,348,355,374,400,424,431,432,434,439,439,441,446,458,476,487,492,496,502,512,555,616,628,638,642,652,662,673,709,751,1366,1740,1932,2070,2116,2079,1829,1778,2076,1572,1473,2047,2111,1697,1196,1164,1733,1971,2057,2117,927,743,671,658,651,642,634,620,595,521,501,494,490,493,488,467,445,440,438,436,432,428,431,425,411,393,375,357,347,343,342,342,340,338,337,338,339,337,330,328,317,299,246,139,125,105,103,100,100,99,100,102,102,102,103,103,103,104,106,109,116,140,158,203,228,239,244,248,253,257,257,256,256,256,257,258,260,261,265,267,269,268,241,217,209,207,188,163,146,140,136,130,117,112,106,102,98,95,92,89,87,85,84,81,79,77,76,75,73,71,69,67,65,78,263,334,402,444,455,461,467,476,490,513,547,559,566,582,605,620,633,650,1876,2061,1841,1974,1970,1261,922,1323,877,665,664,668,657,653,649,651,648,639,618,598,631,635,639,642,643,642,649,652,658,821,751,1948,2077,1823,2009,2089,2114,2121,1904,642,628,622,599,568,554,553,529,492,471,464,458,452,443,423,411,391,353,107,84,84,86,90,99,106,119,117,122,124,126,122,122,120,120,123,129,135,140,141,140,141,145,147,148,154,160,167,172,196,229,261,265,265,263,261,259,258,257,257,258,257,259,257,250,246,242,233,221,202,182,148,133,117,108,107,107,106,106,107,107,107,105,105,109,133,172,247,273,293,305,320,332,336,339,340,338,338,338,338,335,338,338,337,345,363,378,391,406,410,414,415,415,418,420,423,438,465,477,481,485,487,494,528,584,632,643,652,662,674,696,2013,2064,2116,2145,2155,2153,2148,2143,2134,2121,2115,719,1750,2028,2082,2116,2137,2153,2167,2181,1252,784,706,678,669,661,647,597,529,518,511,505,499,494,469,444,435,429,427,418,416,414,418,409,404,395,387,373,351,341,337,336,336,332,334,333,334,333,333,325,325,314,303,293,288,285,270,241,174,162,153,144,128,115,111,108,109,109,115,148,188,203,219,223,231,236,241,244,248,252,256,256,255,254,254,256,257,259,261,263,263,259,232,191,167,166,166,167,170,181,187,200,222,257,270,281,296,299,300,306,312,311,314,315,317,318,320,322,323,327,338,367,390,410,420,432,437,437,444,452,458,461,474,529,546,550,571,597,618,629,638,1039,1773,2049,2091,2046,2082,1933,858,691,1009,667,651,649,653,646,635,630,636,630,605,585,567,609,616,627,630,638,638,646,649,650,651,658,657,1027,679,689,1108,1461,749,712,687,645,635,628,616,581,556,545,537,508,470,457,455,449,443,446,443,442,434,433,428,398,363,353,345,337,332,328,326,325,324,321,320,319,317,315,313,312,312,308,307,301,300,278,252,222,194,192,187,200,222,240,261,265,263,262,261,258,259,259,259,260,259,253,249,248,242,237,233,227,218,220,172,118,111,109,109,111,122,145,212,253,266,272,282,288,293,296,301,307,317,329,335,339,337,336,336,336,336,337,338,340,345,359,385,402,412,418,424,430,434,437,439,444,449,452,457,465,480,500,522,532,541,543,571,637,670,679,686,707,747,825,1415,1775,1959,2056,2121,2148,2138,2144,1735,1951,2092,2124,2145,2161,4500,4500,4500,2243,2238,2110,1568,743,678,632,577,554,543,541,510,473,467,462,457,454,449,442,441,438,428,417,413,412,396,383,371,361,347,336,330,329,329,328,326,327,328,329,330,322,320,310,304,294,291,290,287,284,281,278,268,250,181,124,111,109,109,111,124,189,226,228,234,236,240,243,245,247,252,256,257,257,256,255,256,257,258,260,261,256,236,221,203,201,215,233,260,291,298,301,301,301,302,303,304,305,307,308,310,312,315,318,317,319,322,327,334,342,349,367,400,420,423,428,429,428,434,436,441,442,448,478,509,521,539,583,604,613,621,638,660,2019,1997,2093,2069,2079,1998,1148,1808,1576,757,672,633,625,627,626,622,599,602,603,575,547,537,565,583,601,610,621,620,624,628,630,633,638,641,645,660,815,1768,1900,1556,1354,1058,661,638,623,613,598,572,536,515,512,505,476,444,436,437,430,429,427,430,430,422,416,390,363,353,343,333,326,321,317,315,314,312,310,308,307,304,302,301,299,298,299,300,300,298,291,281,271,246,216,204,208,233,258,261,261,259,258,258,257,257,259,259,255,249,249,245,243,241,240,238,234,204,136,116,110,109,111,130,174,260,276,284,287,289,291,294,296,301,308,318,328,334,335,334,334,333,333,335,335,337,342,349,358,367,373,379,392,407,426,439,457,464,466,469,469,476,478,483,487,491,502,542,567,578,593,626,674,694,708,748,910,1258,1474,1778,1967,2065,2111,2140,2149,2145,1785,1960,2062,2119,2162,2189,4500,2277,2260,1622,752,715,673,639,615,602,569,515,512,505,495,488,490,486,484,479,476,472,465,431,399,389,381,373,363,357,354,348,342,335,335,331,329,328,328,328,329,330,323,321,310,301,293,291,290,287,287,284,282,274,256,160,116,110,109,109,113,140,220,239,242,244,244,246,248,250,251,254,257,258,256,256,256,256,257,258,259,256,227,204,203,230,265,280,283,288,297,298,296,295,295,295,296,297,299,301,305,305,308,313,320,324,326,334,343,359,374,393,410,420,421,424,420,426,437,440,442,446,472,491,497,503,531,578,603,610,614,624,652,673,691,1223,1020,1059,676,696,641,636,639,807,618,608,610,620,604,599,575,571,573,553,530,546,558,574,587,588,609,611,614,616,616,618,631,632,718,645,655,889,875,692,688,719,655,633,617,606,599,592,575,529,493,488,482,473,460,440,438,435,431,429,424,424,423,421,411,396,380,367,353,343,337,329,328,320,318,311,306,304,302,302,300,300,301,303,303,304,299,291,290,282,267,237,208,210,239,262,263,264,260,260,260,261,261,262,259,254,254,251,249,248,248,247,246,230,157,128,110,110,111,115,141,247,284,290,292,293,294,296,299,303,308,321,332,337,339,337,336,337,337,338,339,342,346,350,355,359,362,369,375,383,396,404,427,465,492,495,500,504,510,513,518,522,529,538,544,565,613,639,654,668,705,736,784,814,1003,1340,1727,1943,2061,4500,4500,2373,790,1041,1346,1169,938,1134,1165,831,799,775,739,693,673,659,620,577,558,549,545,539,533,526,519,517,513,503,469,439,409,393,383,377,374,366,363,358,357,353,348,341,340,337,334,331,331,333,334,334,325,322,313,304,296,294,293,290,289,289,288,279,206,125,111,110,110,111,146,180,237,246,247,247,248,248,249,251,253,255,259,259,257,257,257,258,258,259,259,244,209,205,225,262,277,283,286,293,299,299,297,296,294,294,294,296,298,301,304,309,314,325,329,334,342,355,363,368,382,393,400,403,405,409,415,419,423,434,444,459,458,461,463,470,528,570,576,584,588,599,802,685,1323,2032,1748,1580,932,719,625,769,621,1304,606,595,600,603,595,590,555,567,561,533,517,517,547,553,561,572,598,603,603,607,606,603,617,607,608,622,636,636,685,713,672,669,623,602,596,588,581,569,562,533,486,470,462,456,452,447,441,430,419,413,404,406,400,398,395,388,378,370,366,362,349,339,331,323,318,312,303,298,294,293,292,293,294,294,298,297,295,287,283,278,276,264,238,209,214,250,258,258,257,257,257,255,258,259,258,255,253,250,249,249,249,249,248,245,199,158,112,110,110,110,114,155,264,286,288,289,289,290,291,296,300,311,321,323,329,337,339,339,341,343,346,353,356,361,365,367,371,373,377,381,387,393,399,404,417,423,455,500,505,506,511,521,536,545,548,556,570,595,644,672,696,725,779,815,869,1184,1405,1692,1928,2006,2075,2040,1132,1574,2266,2263,2234,4500,1596,1226,870,909,744,695,669,641,591,569,562,556,551,542,524,509,505,489,442,420,411,411,400,395,390,388,383,379,375,372,371,367,365,357,355,348,342,339,332,330,327,321,315,311,303,296,290,288,286,285,284,283,281,230,125,110,110,109,110,121,196,222,247,248,249,248,249,249,250,252,254,256,257,257,256,255,256,256,257,258,249,220,209,233,259,274,278,283,286,293,300,300,298,298,297,296,296,297,300,305,311,322,332,348,351,361,372,380,381,385,391,393,396,399,405,405,416,439,451,454,455,460,467,471,474,525,565,574,582,586,591,599,614,636,660,657,648,642,633,631,623,621,619,617,614,612,606,601,597,598,558,555,555,538,514,513,533,548,558,563,590,599,601,604,604,605,613,606,601,622,631,623,629,638,652,646,608,597,587,581,575,573,566,555,530,470,460,453,451,448,452,450,442,411,398,396,394,393,393,392,389,386,383,375,366,350,346,336,331,318,307,303,300,301,299,299,300,303,303,301,298,289,289,282,279,277,268,228,211,238,261,262,261,261,261,260,260,262,262,261,259,258,257,256,256,256,257,257,251,233,141,111,111,111,111,116,181,277,289,292,293,295,297,300,305,314,322,325,327,332,337,337,344,348,352,360,364,373,383,394,397,401,405,410,421,429,434,439,444,447,452,471,508,531,541,552,557,562,567,574,590,620,665,676,704,742,909,1257,981,4500,4500,2276,2104,4500,4500,4500,806,836,957,969,996,933,886,837,787,770,743,714,680,667,621,589,573,564,561,556,551,540,534,506,466,452,448,446,443,442,433,424,410,406,402,390,382,371,362,354,352,346,340,336,332,330,325,322,319,317,312,302,296,294,293,291,290,271,229,133,112,111,111,111,115,172,250,257,259,257,257,255,257,256,257,258,259,259,259,259,258,259,259,260,260,259,231,213,226,262,273,276,279,284,288,292,298,301,300,302,299,298,299,300,299,302,307,312,319,329,339,347,354,369,378,381,384,386,383,384,385,388,389,428,430,436,440,441,443,441,459,531,544,546,550,555,560,568,579,601,939,1971,2018,2011,1997,1383,1206,1059,1067,584,573,571,561,581,574,573,526,532,531,519,495,498,522,540,547,550,575,584,581,580,588,593,600,606,598,602,608,612,1100,1999,721,635,606,591,582,578,567,563,557,554,538,476,446,443,435,432,426,423,414,387,385,386,384,385,384,378,375,374,361,346,335,327,320,318,313,306,302,299,298,298,298,298,300,299,301,296,290,283,280,278,275,273,270,243,214,220,254,256,258,258,258,256,256,257,259,258,258,257,257,257,257,258,258,260,259,257,213,124,111,110,110,111,117,155,208,281,286,288,289,290,295,304,309,310,311,315,318,320,325,328,330,339,339,345,352,364,369,386,391,398,415,420,423,424,428,426,432,463,503,520,526,532,539,545,548,557,583,635,666,685,760,760,786,822,1023,1005,1057,1179,4500,1880,2107,2247,1284,1534,4500,4500,1133,4500,957,877,851,1097,840,775,770,658,619,569,539,533,530,523,521,517,510,491,454,429,426,423,420,420,419,413,396,388,378,361,351,343,338,331,332,324,321,320,314,315,310,307,302,305,300,292,286,286,286,279,252,152,130,112,110,110,110,111,153,243,257,259,258,256,255,254,255,254,255,255,256,256,255,255,255,255,255,256,254,251,214,212,238,265,269,272,275,278,281,283,291,297,299,299,296,296,297,298,297,298,299,303,308,316,323,328,334,349,362,368,376,383,382,385,382,388,385,402,431,433,434,435,438,441,449,523,546,551,556,563,568,576,588,611,630,632,626,617,624,608,606,608,608,595,592,586,591,590,583,566,534,549,540,519,502,491,524,525,529,537,572,579,581,579,580,577,590,580,582,596,605,606,607,622,634,625,592,581,573,567,561,558,554,545,498,459,454,449,442,424,411,403,400,397,396,393,393,393,390,385,372,364,348,333,328,318,318,311,309,305,304,304,303,304,304,304,305,308,302,294,290,285,283,279,277,275,272,260,225,211,240,256,260,259,260,259,258,259,259,259,259,259,259,259,260,260,261,262,263,264,260,235,136,114,112,111,112,113,115,156,248,288,293,296,301,305,308,311,313,316,319,322,325,328,331,335,336,343,350,366,376,397,409,418,421,423,426,429,433,436,458,504,516,530,536,541,547,551,554,573,608,644,662,682,730,753,776,802,830,859,863,854,847,837,833,824,853,830,830,835,856,865,870,844,795,781,758,731,668,646,628,610,587,562,559,544,529,515,514,507,486,448,422,416,404,399,396,395,394,389,379,358,346,335,326,322,322,320,320,315,313,310,307,303,300,298,296,293,287,277,262,136,115,112,112,111,111,114,141,200,253,259,258,258,257,256,255,255,255,255,254,255,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