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6,703,712,903,1099,2134,2129,4505,4505,4505,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,11,11,24,47,54,60,62,65,72,77,83,87,94,95,94,97,95,88,79,64,57,44,33,14,5,15,5,5,5,5,31,5,5,5,5,5,5,5,27,5,5,5,5,5,5,15,28,33,5,5,414,392,361,336,307,288,277,262,249,233,225,214,202,191,183,178,171,162,155,151,143,139,134,129,127,123,120,115,114,111,106,105,102,99,98,97,94,92,91,90,88,86,85,84,84,83,82,79,79,78,78,77,76,74,73,73,73,72,72,71,70,70,69,69,69,69,68,67,68,70,70,69,69,70,70,71,72,73,73,74,74,74,75,78,79,79,79,80,81,83,84,85,85,86,87,90,91,92,94,96,98,99,102,103,106,108,112,115,116,120,124,130,132,135,142,147,151,155,163,172,180,185,195,205,217,232,240,255,267,284,294,315,339,372,403,418,397,5,5,5,5,14,7,10,5,5,5,5,5,5,5,5,5,5,27,5,5,5,5,5,5,5,12,5,8,19,57,69,81,86,90,90,88,86,76,75,68,63,59,55,54,49,45,42,38,35,25,21,18,14,5,5,5,5,5,5,5,5,4505,5,5,5,4505,4355,4204,3558,3022,2111,2105,715,712,706,701,695,690,686,682,678,674,671,668,665,664,662,659,656,656,656,655,641,641,643,644,645,647,650,652,655,656,659,665,668,671,675,683,687,694,699,697,2084,2085,2093,2110,2469,2931,3562,3565,4176,4505,1057,5,5,5,4505,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,29,92,95,95,94,92,86,72,50,41,32,79,5,5,5,10,5,1190,1303,1293,1249,567,12,999,5,21,23,5,39,14,5,5,103,5,6,5,12,9,5,440,418,388,353,322,301,289,272,258,243,235,223,211,200,191,186,177,168,161,157,150,144,140,133,132,127,123,118,116,115,110,108,106,104,101,100,98,96,93,93,92,89,88,86,86,85,85,83,81,80,80,80,79,77,76,75,75,75,75,74,73,72,71,70,70,71,71,70,72,72,72,72,72,72,73,75,76,76,76,77,77,78,79,81,81,81,82,83,85,87,87,88,89,91,92,94,95,97,100,100,101,104,108,108,111,114,117,120,123,125,129,135,137,143,148,153,159,163,172,182,188,195,205,217,229,243,251,265,280,298,309,329,357,393,430,441,362,5,5,5,5,13,6,5,5,11,5,26,5,5,5,5,5,5,5,5,5,5,39,5,5,5,5,19,26,31,56,69,81,87,87,90,89,87,75,72,66,62,57,50,44,34,23,19,5,5,5,5,5,5,5,5,5,5,5,5,5,5,4505,5,4505,4505,4179,3791,3517,3435,2063,2055,2066,680,676,674,669,663,657,653,651,646,643,638,638,633,632,628,629,626,624,623,620,602,604,605,609,608,610,611,615,616,618,623,625,627,630,634,639,642,651,655,657,649,2007,2013,2051,2865,4079,4505,4505,4505,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,18,5,5,11,77,79,85,93,94,94,90,85,73,58,49,34,20,8,5,5,5,16,5,5,5,5,5,5,12,27,5,5,5,5,5,5,5,6,9,5,8,34,43,5,5,433,407,377,336,318,303,286,271,257,249,236,222,212,202,197,188,180,171,166,160,154,149,142,139,135,131,126,125,120,118,115,111,110,108,104,102,102,100,97,95,95,94,92,90,89,89,88,86,84,83,83,83,82,80,79,79,78,78,78,78,76,75,74,74,74,74,74,76,76,76,76,76,77,78,80,80,80,80,80,82,83,84,85,85,85,86,89,90,90,91,92,94,96,97,97,99,103,104,104,107,111,112,113,118,120,123,127,128,132,137,142,143,148,156,163,168,174,183,190,201,208,220,229,241,256,264,276,293,315,323,346,377,410,433,431,5,5,5,5,5,32,5,25,5,5,5,5,5,5,5,5,5,44,5,5,5,5,5,5,5,5,15,5,8,20,56,65,76,81,82,83,80,76,71,66,61,57,52,47,46,41,33,29,15,14,5,5,5,5,5,5,5,5,5,4415,4505,4505,4505,4505,4505,4408,3484,3460,2004,2028,1284,638,647,649,638,637,629,627,621,617,613,610,604,603,600,598,596,594,595,591,590,590,587,569,569,570,572,574,571,576,578,580,582,585,588,592,595,600,603,609,613,617,624,627,608,590,1938,1986,1983,2002,2017,3312,3992,4505,4505,4505,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,50,57,60,66,69,78,82,85,85,80,76,68,49,42,28,8,5,182,5,29,131,5,5,5,5,5,5,5,5,48,5,5,5,13,5,39,5,5,46,5,24,22,35,5,447,432,391,359,334,320,305,288,271,264,252,238,226,217,211,203,193,183,179,171,165,158,151,149,145,139,135,132,130,126,122,120,117,114,113,109,107,106,105,102,99,99,99,97,94,93,93,92,91,88,88,87,87,86,85,84,83,82,82,82,82,80,79,79,79,79,79,81,80,80,81,81,83,84,85,85,85,85,87,89,89,90,90,91,92,94,95,96,97,99,101,102,102,103,106,108,109,112,114,116,119,123,123,127,130,133,138,140,142,148,154,156,162,169,176,182,188,197,207,218,224,235,247,259,271,281,294,312,329,343,370,397,432,439,364,5,5,5,15,7,5,5,5,5,5,15,178,5,5,119,103,35,5,5,5,5,7,5,5,5,5,5,5,20,45,51,63,72,80,84,81,79,71,65,64,62,59,51,47,43,41,35,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,4505,3297,1896,900,1822,1903,1485,550,597,605,606,601,593,589,585,581,577,573,571,568,563,561,559,558,552,552,551,550,549,548,548,531,528,531,533,533,534,537,537,541,540,546,547,550,554,556,558,563,571,570,577,584,589,584,542,498,477,459,458,442,5,1078,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,23,75,78,79,79,86,91,92,86,79,70,54,46,34,31,18,5,12,12,6,5,28,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,14,43,66,5,5,446,422,382,359,341,321,306,289,279,269,254,243,235,228,218,208,198,192,184,178,171,163,161,157,151,144,142,139,134,132,128,126,125,120,118,117,114,111,110,108,107,105,104,103,102,99,98,98,96,95,93,93,92,92,91,89,88,87,87,87,87,85,84,83,83,83,87,87,87,88,89,91,91,91,91,92,94,96,96,96,97,99,101,101,102,103,105,107,107,108,110,113,114,115,117,121,122,123,127,130,133,135,138,142,145,150,152,156,162,170,171,178,186,192,200,205,217,226,238,244,257,266,278,292,300,317,336,359,375,402,437,445,289,5,5,5,5,5,8,17,5,5,5,5,5,5,5,35,5,5,13,5,5,27,5,5,5,5,5,5,5,5,7,16,32,62,72,81,82,80,76,72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