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0,365,361,361,357,355,357,354,353,352,353,351,351,350,350,350,351,350,350,350,350,350,350,350,350,350,350,349,348,347,346,345,344,344,343,343,344,344,344,345,346,347,348,348,350,351,354,356,358,361,366,371,373,376,377,377,377,375,375,376,377,378,380,382,385,395,410,429,452,469,473,475,480,480,484,490,494,501,539,610,655,659,522,550,561,579,615,686,687,682,731,418,692,641,642,716,663,704,784,843,667,667,670,644,619,573,554,548,543,535,515,499,492,489,488,481,475,472,472,469,463,450,435,416,396,386,385,382,379,378,377,377,375,375,375,376,377,375,373,367,365,365,342,341,341,342,345,348,344,346,345,343,343,342,342,341,341,341,342,343,344,346,346,348,349,349,349,349,348,349,350,349,379,389,372,362,359,354,353,352,352,351,351,351,353,353,354,356,359,360,364,367,371,377,379,385,392,400,403,405,406,403,407,408,413,423,429,433,439,477,495,526,528,532,536,548,557,569,614,629,392,371,1177,650,773,766,778,1310,1391,539,1768,2018,2094,2090,2048,2063,2067,2082,2085,2089,2029,2067,2094,1049,779,771,777,782,763,739,675,643,630,627,613,581,556,542,536,534,532,524,510,483,464,439,434,432,426,414,410,412,411,410,408,403,398,392,386,380,377,372,367,364,361,359,358,356,356,356,355,354,355,354,354,354,354,354,354,353,352,353,353,353,353,353,352,353,352,351,351,350,349,347,346,345,345,345,345,346,347,348,347,350,351,351,354,356,358,362,364,368,374,380,382,383,382,381,381,380,379,381,382,384,385,388,395,415,431,461,478,482,485,486,489,493,499,501,507,517,541,637,619,625,564,557,561,572,607,649,672,665,623,534,620,630,631,627,620,626,639,639,651,666,671,653,630,592,569,560,559,555,544,524,507,503,501,495,490,488,485,484,480,476,469,445,418,404,399,391,386,383,382,381,381,380,380,380,381,383,381,375,346,348,345,344,347,350,355,354,351,351,349,348,346,346,345,343,344,343,344,345,347,347,348,349,351,350,351,351,352,352,353,353,353,352,354,418,393,374,365,362,359,358,356,358,356,357,359,360,363,364,366,369,373,378,381,386,394,400,403,411,416,418,418,418,419,429,429,441,447,469,491,532,539,542,548,546,555,577,628,462,384,1070,641,652,699,742,784,715,1490,1786,1080,945,1461,1821,801,1785,1882,2002,2047,1647,1857,1173,886,775,779,787,790,772,718,694,664,649,637,629,599,576,561,549,548,545,541,511,492,478,466,451,445,441,433,423,422,422,418,415,404,399,397,392,388,380,377,372,367,366,364,363,361,360,360,359,358,358,356,356,355,355,355,355,354,354,353,354,353,353,351,351,350,351,349,348,347,346,345,344,344,342,342,343,342,343,344,345,345,347,349,350,353,355,358,362,364,369,375,380,381,381,380,379,379,379,379,380,381,383,386,391,401,434,461,478,481,481,484,486,490,496,500,505,515,536,552,595,593,629,549,555,565,567,649,662,661,650,600,479,597,600,602,600,598,604,621,624,636,647,658,666,667,637,590,560,555,552,547,544,532,527,506,499,493,492,486,485,480,480,479,474,448,425,416,402,390,384,381,381,379,378,379,379,380,382,384,379,377,382,378,357,350,342,342,346,350,350,348,347,345,345,343,342,341,342,342,344,345,345,346,348,350,351,351,352,352,353,354,355,355,355,356,356,356,356,356,357,357,357,361,401,394,379,367,366,365,364,365,367,370,375,377,383,389,395,396,402,407,415,425,425,426,430,443,446,451,464,481,502,540,546,547,549,552,567,581,622,458,323,1176,1702,680,681,730,794,786,779,1453,1156,1844,2028,2101,2114,2115,2120,2126,2133,2012,2008,1203,793,790,795,769,725,680,667,655,647,622,604,583,570,559,549,547,543,520,486,482,474,462,453,450,446,434,429,424,413,408,402,396,392,391,385,380,378,374,372,367,365,364,363,363,361,361,361,360,359,359,357,357,357,357,355,356,355,354,354,354,354,353,353,351,350,349,349,347,346,344,343,342,342,342,342,343,343,344,347,347,350,352,353,356,359,364,368,369,374,383,385,385,383,383,382,382,381,382,383,384,386,392,404,425,477,483,483,488,491,493,497,503,507,514,534,549,555,558,559,569,587,584,574,607,625,628,658,663,642,577,607,615,614,608,604,599,601,616,620,627,636,642,655,660,671,664,629,607,581,565,561,556,555,547,534,512,507,501,497,493,490,489,486,484,468,461,428,407,393,388,385,384,382,382,382,383,384,385,386,367,346,343,343,352,365,363,356,352,355,352,349,346,346,344,343,342,341,342,342,343,345,346,347,349,350,351,350,352,353,355,356,367,384,375,365,364,362,362,361,361,360,360,360,361,362,363,363,364,364,366,368,370,374,376,379,385,389,391,395,400,405,415,419,430,432,445,450,454,461,477,485,514,540,546,548,548,555,579,513,93,1144,623,643,656,662,726,785,803,1159,1635,1859,2007,2036,2089,2104,2117,2139,2146,2117,2160,2037,1403,810,798,764,707,674,660,655,644,613,585,578,565,554,549,543,543,521,497,489,484,473,463,458,453,445,434,431,411,404,402,398,393,388,387,385,381,377,374,371,368,365,363,363,361,361,361,362,361,361,360,360,359,359,360,358,358,357,355,355,355,355,353,352,351,351,349,348,347,345,344,343,342,342,342,342,343,344,347,348,349,353,355,357,361,365,369,375,377,383,387,386,386,385,385,385,385,385,386,387,390,395,409,431,470,489,493,493,498,503,505,509,523,541,554,557,560,564,573,586,643,560,558,603,668,665,672,649,621,615,594,581,596,605,597,593,591,595,600,604,610,617,628,634,638,656,670,676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