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8,69,69,70,70,71,71,70,77,92,190,295,346,409,444,499,518,527,530,532,538,542,552,580,618,632,641,648,655,662,1508,2113,2951,3341,2183,2074,2042,2016,1978,1975,1941,1933,1938,1784,1509,1003,523,541,533,525,515,514,520,529,526,530,538,537,535,511,490,492,530,545,543,545,535,532,532,535,534,537,539,633,685,1633,1786,1813,1972,1965,1982,1989,2021,2032,2063,2080,2121,3089,3410,2567,2119,676,667,660,656,650,624,594,561,554,550,547,543,536,526,489,458,373,271,168,130,83,76,75,75,72,71,70,70,70,69,68,68,67,67,76,81,93,101,113,118,133,161,169,191,201,180,176,176,183,206,217,216,230,246,263,249,233,222,242,257,257,234,191,178,178,170,158,152,153,152,150,149,154,175,269,325,360,398,416,443,445,442,440,436,428,416,372,306,117,59,55,55,56,59,201,467,479,491,500,519,531,559,565,588,618,623,628,647,697,708,2020,2066,2033,2013,2008,1994,1972,1956,1803,911,674,536,535,537,530,525,527,521,525,523,532,529,517,519,518,518,519,530,534,531,529,534,590,1308,1360,1940,1972,1989,1996,2012,2049,2066,2040,1891,652,629,622,618,593,573,568,522,501,492,475,397,204,67,60,57,56,56,66,197,316,318,279,249,239,226,216,136,118,114,113,114,120,122,122,124,128,135,147,162,173,195,248,249,231,252,351,334,330,321,281,271,282,280,258,229,211,210,199,183,169,163,162,165,160,145,139,122,116,113,104,94,81,76,71,70,68,68,69,69,70,70,71,72,72,73,74,73,73,78,81,102,346,438,505,527,551,559,561,567,572,582,611,657,663,671,683,2111,2150,2529,3131,3457,3225,2087,2052,2033,2022,2000,1979,1958,1956,1954,1829,1669,1496,745,636,534,534,530,531,527,530,546,546,544,529,502,499,536,565,562,553,547,541,538,534,668,700,899,1739,1903,1950,1952,1952,1962,1972,1994,2064,2933,2944,2155,2099,2784,2698,2292,2194,2153,750,687,679,671,634,595,589,585,579,574,560,531,509,495,361,126,84,81,80,76,75,74,73,72,71,71,70,70,69,69,68,67,67,67,75,79,91,99,109,116,117,122,126,135,145,154,158,166,174,196,212,216,232,270,305,314,314,314,342,381,394,404,357,311,319,361,353,303,283,269,187,162,138,127,114,110,104,101,100,97,94,94,93,92,91,90,89,89,87,73,61,61,56,57,60,75,256,470,493,501,504,527,573,577,599,613,624,648,687,1219,2011,2044,2003,1986,1975,1965,1285,730,547,545,534,531,532,529,521,515,517,517,519,521,539,536,520,515,513,512,516,524,535,536,535,536,541,539,613,1439,1912,1971,1977,1991,2016,2050,684,690,666,630,611,593,581,575,561,515,510,503,490,405,139,66,66,57,60,62,65,70,73,74,77,78,81,82,87,89,92,97,101,110,124,144,180,228,299,327,395,407,412,417,419,379,377,412,417,421,419,413,374,361,357,350,309,268,234,230,213,183,170,161,157,150,141,130,126,118,116,113,104,96,82,76,72,71,67,68,68,69,69,70,71,71,72,73,74,75,76,76,77,79,110,354,496,510,524,546,566,591,595,598,601,637,677,689,2103,2136,2181,2458,2789,3250,3398,3088,3423,3776,3483,3680,2500,1281,1786,1946,1932,1931,1917,1642,1626,1473,601,592,534,536,541,553,552,558,531,505,517,555,562,557,544,545,922,1662,1737,1814,1950,1961,1936,1931,1948,1950,1911,2647,3623,3925,4307,3636,3519,2908,3413,3531,3759,4095,4045,2311,2124,1976,700,669,633,624,621,599,567,547,541,526,512,495,311,103,83,81,76,76,75,74,73,72,72,71,70,69,69,68,68,67,67,68,77,82,96,103,115,118,119,123,127,135,146,157,163,170,182,221,243,255,302,353,382,397,404,415,426,431,430,428,427,426,426,427,428,427,427,426,422,420,416,413,408,403,398,385,378,355,329,192,156,131,114,102,94,88,79,76,67,66,66,63,87,402,470,497,507,516,523,547,572,578,588,595,620,660,677,671,724,2013,1994,1972,1884,1200,902,542,545,543,536,540,535,530,517,515,517,517,517,517,514,531,518,513,511,510,511,519,529,529,531,531,538,545,538,533,540,1527,1882,1944,1988,993,903,664,660,617,604,595,580,571,563,550,530,510,499,492,484,438,80,80,209,284,345,386,397,400,411,420,424,421,421,418,417,420,421,422,422,421,421,421,424,425,426,427,427,428,428,427,427,427,428,431,432,426,416,405,395,370,341,272,234,219,202,181,169,160,155,143,134,127,124,122,123,120,99,93,83,77,73,71,67,68,68,69,69,70,71,71,72,72,73,74,75,76,77,78,94,252,504,530,546,558,566,577,601,639,652,658,679,1246,2127,2178,2209,2648,3467,3638,3381,2543,2713,3431,3501,3489,3521,2623,2442,1994,1966,1965,1949,1961,1970,1947,1884,1833,1247,1591,754,556,561,563,554,526,525,564,574,563,618,1323,1522,1959,1960,1966,1973,1963,1963,1959,1990,2005,2215,2843,3478,3514,3520,3330,3193,2466,2998,3385,3651,3792,3410,2469,2151,2133,720,678,669,654,623,586,577,570,565,552,534,499,164,90,82,80,76,75,74,73,73,72,71,71,70,69,69,68,68,67,67,74,79,85,95,102,124,125,123,126,127,135,145,157,163,170,182,217,245,272,314,394,404,407,414,423,430,432,432,429,427,427,426,426,426,426,426,426,425,425,425,425,425,426,428,430,432,437,446,459,460,460,459,458,457,459,448,426,390,368,350,407,472,492,497,507,531,550,555,558,563,584,600,602,616,651,653,639,1066,1135,986,612,552,544,538,542,540,531,526,522,524,517,513,511,507,506,506,513,525,515,504,502,502,504,507,510,514,517,516,519,525,536,533,529,533,552,556,570,766,645,618,631,640,616,596,594,590,584,557,548,548,546,535,512,500,489,483,479,475,475,474,471,470,470,470,469,469,470,470,468,453,439,436,430,427,425,424,424,423,423,42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