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1,80,132,127,121,130,154,177,166,174,194,102,76,74,75,101,205,141,139,140,141,156,229,197,189,204,215,217,211,204,195,233,326,458,459,459,455,434,187,175,218,453,506,507,527,594,602,605,607,589,531,137,133,136,0,0,0,0,0,1945,1527,658,546,551,557,552,544,534,528,533,543,552,581,596,578,532,511,510,533,560,593,584,549,543,543,549,555,559,564,562,552,1032,1939,1959,1977,1980,2002,2026,1979,483,138,131,139,417,467,469,465,481,471,418,434,449,428,277,177,174,363,417,417,411,423,418,287,200,194,212,215,210,206,198,189,196,197,141,140,139,157,262,114,76,74,74,87,201,192,164,168,151,127,116,120,134,82,71,75,96,124,253,294,319,323,327,328,330,333,335,337,338,341,343,345,346,348,351,355,358,360,364,370,373,377,382,390,402,410,412,415,413,414,414,416,418,421,425,428,442,475,490,493,496,499,501,506,509,517,550,560,562,579,603,608,615,627,655,634,620,606,591,578,573,562,557,555,557,553,548,542,541,543,542,554,576,571,516,502,482,464,446,439,460,477,505,533,573,567,545,546,539,537,543,552,557,560,561,567,568,573,581,598,612,618,633,635,615,608,602,599,587,562,553,549,519,500,497,494,491,489,485,483,480,460,440,428,419,415,413,410,409,409,408,409,409,410,403,393,384,382,375,370,365,362,358,354,350,348,346,344,342,340,338,336,334,331,329,327,324,321,309,280,130,110,78,69,74,117,128,118,127,149,166,166,198,215,84,74,74,79,121,237,149,139,140,146,220,190,189,205,214,213,209,201,192,204,220,220,212,204,197,182,157,165,166,167,163,158,152,145,141,139,135,134,129,126,126,138,558,2019,2032,2026,2014,1999,1990,1977,1975,1875,1573,862,567,565,566,562,555,561,569,593,612,598,546,520,526,553,585,614,604,581,565,565,569,566,568,590,1825,1573,1965,1954,1968,1995,2015,2041,2047,2028,635,589,134,128,154,483,614,616,589,569,527,504,504,499,490,364,191,167,217,447,460,460,459,448,295,199,194,212,219,222,215,192,187,221,145,140,139,145,227,123,78,74,74,86,222,206,166,160,145,116,112,127,139,77,70,79,115,132,279,304,321,323,326,328,330,332,335,337,338,340,343,345,347,351,354,359,364,366,372,379,385,390,398,403,404,404,404,404,405,407,407,411,416,424,442,453,471,476,477,478,481,483,487,490,503,532,544,554,573,592,594,598,601,604,1245,604,596,580,573,566,557,550,549,549,548,543,538,535,535,539,539,549,568,554,506,491,471,454,431,429,450,469,496,521,566,560,533,539,534,533,537,542,546,548,548,552,553,559,568,578,592,602,607,628,608,599,595,591,589,580,557,539,537,510,494,483,478,476,473,473,471,470,466,454,435,419,411,407,404,403,402,400,400,400,400,400,397,392,384,378,372,368,363,360,355,351,349,346,343,340,338,336,333,331,329,328,325,322,316,297,151,116,88,71,70,106,156,111,110,138,159,160,203,230,89,75,74,80,130,198,138,139,140,187,203,186,195,219,222,222,206,193,197,312,450,458,459,459,448,195,169,225,461,493,500,500,503,526,581,602,616,520,126,127,130,267,636,2022,2049,2059,2034,2019,2002,1996,1985,1980,1979,1984,1251,599,585,583,575,582,590,612,625,611,551,525,543,575,608,634,626,596,583,657,1569,1686,1940,1989,1992,1998,1998,2013,2029,2053,2062,2128,2353,2039,648,646,176,127,127,130,575,611,597,588,535,497,497,495,491,465,230,174,164,325,453,457,456,449,411,233,191,196,225,216,217,204,190,196,185,140,139,139,175,169,80,74,74,83,240,229,173,158,126,105,109,141,114,72,70,86,116,153,295,310,321,325,327,329,331,333,336,338,339,344,347,350,353,356,360,366,371,374,382,390,393,393,393,393,393,395,396,397,399,402,403,411,430,448,459,459,459,460,461,461,464,468,470,492,517,523,534,569,577,580,582,586,592,591,595,585,567,562,541,535,529,525,524,527,527,518,518,512,512,517,518,534,551,534,491,474,454,439,423,420,438,455,478,509,555,546,524,523,517,516,520,530,537,538,535,535,538,545,558,573,584,588,606,611,594,592,587,584,581,578,576,547,523,520,510,479,466,464,461,460,459,457,457,456,456,444,425,409,403,398,395,392,392,391,389,388,388,389,388,386,381,376,369,365,360,355,352,349,345,342,339,337,334,332,329,328,326,322,317,307,223,120,103,74,70,91,179,119,103,98,120,157,210,260,86,74,74,80,158,166,139,139,140,211,185,180,189,199,209,215,195,189,224,408,445,454,455,452,407,164,194,442,479,489,490,490,493,525,599,609,590,154,125,128,157,623,656,2056,2089,2185,2644,2070,2102,2045,2019,2003,1995,1979,1991,1985,1972,1972,1579,597,604,617,638,620,558,527,543,580,618,644,632,607,1743,1990,1999,1998,2005,2016,2016,2007,2027,2049,2063,2089,2098,2113,2149,2060,662,657,582,126,124,124,554,618,598,568,531,489,489,490,489,481,323,188,167,207,443,452,451,442,410,265,190,188,189,185,183,183,182,184,207,139,139,138,174,147,81,74,74,85,253,231,156,97,93,118,145,183,102,69,72,104,120,190,305,314,321,324,328,330,332,334,338,339,341,345,348,352,355,358,365,372,379,381,383,382,381,381,381,382,383,384,386,389,393,401,405,424,441,442,442,442,443,445,447,448,450,453,472,501,503,509,544,565,566,568,569,573,573,579,569,554,550,534,522,514,510,506,507,511,518,506,499,500,502,507,511,528,545,531,486,472,447,429,409,406,422,440,461,487,538,531,502,499,497,494,498,501,506,510,504,503,503,510,517,523,535,539,555,570,574,573,569,564,561,559,560,560,522,497,497,495,458,446,444,443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