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4,43,43,41,41,40,39,38,38,37,37,37,36,35,34,34,34,32,22,20,16,15,12,10,11,10,8,8,8,7,7,5,5,3,4,1,1,1,1,2,3,2,2,2,3,2,1,2,2,2,2,3,4,3,3,2,2,1,2,2,1,1,1,2,1,2,3,2,3,3,3,4,3,3,5,4,3,2,1,3,4,4,5,5,3,4,3,4,4,2,2,3,2,3,2,1,2,3,4,4,3,3,3,4,4,4,4,4,4,4,3,3,4,3,3,4,4,3,3,5,4,4,4,3,4,4,5,5,4,3,2,2,3,3,2,3,3,4,4,4,3,4,3,3,2,3,2,3,2,1,2,1,2,2,2,2,3,3,4,4,4,3,4,4,3,2,3,4,3,3,4,3,2,2,3,3,4,3,4,3,3,4,3,4,4,4,2,2,2,3,3,4,5,4,3,4,5,4,3,3,3,4,5,4,4,4,3,4,3,4,5,5,6,6,5,6,6,6,6,6,7,8,8,9,10,10,11,10,12,13,14,14,16,17,17,17,19,21,23,24,25,26,26,28,29,30,32,34,34,35,35,37,46,47,47,47,47,47,48,48,48,48,48,48,47,48,48,48,48,48,48,48,48,48,48,48,49,47,47,48,48,46,46,45,46,44,44,43,43,43,42,41,39,39,38,38,37,36,35,34,21,19,17,16,14,14,13,11,10,9,8,8,8,8,7,5,5,4,4,4,4,4,4,4,3,3,2,3,2,3,4,3,4,3,3,3,3,2,2,3,3,3,3,3,2,4,3,3,3,3,4,4,3,2,2,2,3,3,3,1,2,3,3,3,3,3,3,4,4,3,4,3,3,2,2,4,4,5,3,1,3,3,2,3,3,3,4,5,5,4,4,4,3,3,4,3,3,3,3,4,4,4,4,4,4,3,4,4,2,2,4,3,3,4,4,4,5,3,3,4,3,4,4,4,4,5,4,4,4,3,4,4,5,3,3,4,4,4,3,2,2,3,3,4,4,3,4,4,3,4,5,3,3,2,2,2,2,3,3,2,3,3,3,3,2,1,3,3,2,3,3,3,3,5,4,3,4,4,5,5,5,4,4,4,4,4,5,5,5,5,5,5,4,4,5,7,6,6,7,7,7,9,8,8,8,9,11,11,12,13,14,15,15,16,18,18,19,21,23,23,25,26,26,29,30,32,31,34,33,33,36,36,46,46,46,47,46,47,48,48,48,47,48,48,48,47,48,48,48,47,48,48,48,48,48,47,48,48,48,47,48,48,48,47,47,47,46,46,43,43,43,42,42,41,41,40,40,40,40,40,38,38,37,37,36,35,34,33,32,32,20,18,18,16,15,13,12,11,9,8,8,7,5,4,4,4,4,4,4,4,4,4,2,3,2,1,3,2,2,3,2,1,1,3,4,2,1,2,2,2,1,1,2,2,2,4,3,2,1,2,1,1,1,1,1,1,2,3,2,2,2,4,4,3,4,3,4,4,4,3,2,2,3,4,4,3,3,4,4,5,5,4,5,5,3,4,5,6,4,2,4,3,3,2,2,2,3,3,4,3,4,3,4,5,5,4,4,4,6,5,4,4,4,5,7,5,4,5,6,7,8,7,6,7,7,6,6,6,7,7,7,6,5,4,4,5,6,6,4,4,3,3,3,4,2,2,3,3,4,4,3,3,4,4,3,4,3,4,4,5,4,3,3,3,3,2,4,4,3,3,4,4,4,4,4,5,6,5,5,3,3,3,3,4,4,5,6,7,8,9,9,10,9,11,12,13,14,15,16,18,20,24,26,25,25,26,30,33,31,38,45,46,46,46,47,46,46,45,45,45,45,43,43,45,45,46,46,46,47,48,47,47,47,47,47,47,47,47,47,47,46,46,47,47,47,47,46,47,47,46,47,47,47,47,47,46,45,44,44,44,45,44,45,45,45,45,45,45,46,46,46,45,43,39,38,37,37,36,35,36,38,40,35,20,18,15,15,15,14,14,11,10,10,10,9,7,7,6,6,5,5,4,3,3,3,1,1,2,3,3,5,3,3,3,2,2,1,1,3,1,1,1,1,2,3,3,2,3,3,1,2,1,1,3,2,2,2,1,2,1,1,2,2,2,2,3,2,2,2,1,1,1,1,2,2,3,2,3,3,3,3,3,4,4,4,4,5,3,2,3,3,4,2,2,3,2,2,2,2,3,2,2,3,3,1,3,4,3,3,3,3,3,4,2,2,2,3,3,4,4,4,2,3,3,3,3,3,5,3,2,2,3,2,4,3,3,4,4,3,3,4,3,2,2,3,3,4,4,3,3,4,5,3,3,3,2,2,3,2,2,2,2,3,3,3,4,4,3,4,3,4,5,4,2,3,2,2,2,3,4,4,2,2,3,4,5,5,6,7,6,7,8,9,10,11,13,15,17,15,16,15,17,23,23,22,20,20,21,22,25,27,37,44,45,45,45,45,46,46,46,47,47,47,47,48,47,48,48,49,49,49,49,49,49,50,49,50,49,49,49,49,48,47,47,47,48,49,48,48,48,49,49,49,49,51,50,49,49,49,49,49,50,49,48,47,47,46,46,46,45,44,45,47,47,46,44,40,39,40,38,37,37,36,38,43,37,21,17,16,15,17,17,14,11,10,10,10,8,7,6,5,5,3,2,2,3,2,3,1,2,1,2,2,1,2,2,1,1,2,2,2,2,2,2,1,1,2,2,2,2,1,2,2,2,1,1,2,2,1,1,1,2,1,1,1,1,1,1,1,3,2,1,2,1,2,2,1,1,3,3,3,2,2,1,4,4,3,2,1,1,1,2,2,4,3,3,3,3,1,1,1,1,2,2,4,4,3,3,2,1,2,1,1,1,1,1,1,2,3,2,2,3,4,5,5,3,3,3,2,2,2,1,2,2,2,3,3,2,3,2,1,2,3,2,2,2,3,5,2,3,2,1,1,2,2,1,2,2,2,2,2,1,1,1,2,3,3,4,3,3,3,1,1,2,3,3,3,3,4,3,3,3,3,4,5,6,5,4,5,6,6,7,8,9,9,10,15,16,18,17,15,15,17,22,23,22,21,20,21,22,23,27,43,45,45,46,47,47,48,49,49,50,50,51,51,52,51,51,51,51,51,52,51,51,51,50,50,50,50,50,50,50,50,49,49,49,49,50,50,49,49,50,50,50,50,50,51,51,51,51,51,51,51,51,51,51,51,52,51,50,49,49,49,49,48,47,48,47,45,43,42,41,39,38,38,38,45,43,34,32,19,17,16,18,18,16,12,11,10,9,7,6,5,5,4,1,1,1,1,2,3,2,1,1,1,1,2,3,1,1,1,1,1,1,1,1,2,1,2,3,2,2,1,1,2,1,2,2,3,1,2,1,1,1,1,1,3,2,2,2,1,1,1,1,2,1,2,1,1,2,2,3,3,3,2,1,1,1,2,1,3,3,3,2,2,3,2,3,3,1,2,2,3,3,3,3,1,2,2,1,1,1,3,2,1,2,2,2,2,3,2,3,4,4,3,1,1,2,2,3,2,2,3,2,2,2,2,3,2,2,3,2,3,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,1,2,3,3,2,2,4,3,2,3,4,3,2,2,3,3,4,3,3,2,2,1,1,2,2,3,3,2,3,3,4,5,6,7,7,8,9,8,9,11,15,17,18,17,16,16,20,28,30,28,25,25,25,25,26,35,45,46,46,46,46,47,47,48,48,49,49,49,49,49,49,49,50,49,50,50,50,49,49,49,49,49,49,49,49,48,48,48,48,47,47,47,48,49,49,49,49,49,48,49,49,50,50,50,50,50,50,49,50,50,49,50,49,49,49,48,47,45,44,45,47,47,45,42,41,40,39,38,37,40,46,44,37,31,22,19,18,19,19,16,13,10,10,10,7,7,3,3,4,3,3,3,3,3,2,1,2,1,2,1,1,2,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,2,2,2,2,1,1,2,2,2,2,3,2,1,2,2,1,1,1,3,3,3,3,3,4,2,2,1,2,2,2,1,1,1,1,1,2,3,4,2,2,2,1,2,2,3,1,2,1,1,3,3,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,1,1,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,3,2,2,2,1,1,1,1,1,1,1,2,1,2,2,1,2,2,1,1,1,1,1,1,1,2,1,1,1,3,3,3,4,3,3,3,2,3,4,5,6,7,9,11,10,11,13,17,20,21,18,19,20,26,34,34,31,28,28,28,29,31,47,49,48,50,50,52,52,53,54,53,54,54,54,54,53,53,54,54,54,54,54,53,53,52,52,52,52,52,52,52,52,52,51,50,50,51,52,52,52,52,52,53,53,53,52,53,53,53,54,54,54,54,54,54,54,53,53,53,52,52,51,51,51,49,49,49,49,47,44,44,43,42,41,41,42,47,47,41,36,33,35,41,43,39,24,18,14,14,12,8,7,5,6,4,4,4,2,2,2,2,2,1,1,1,1,1,1,2,3,1,1,1,1,2,1,1,1,1,1,1,1,1,2,2,1,1,1,2,1,1,1,1,2,1,2,1,2,1,1,1,1,1,1,2,3,3,2,2,1,1,1,2,1,2,3,2,2,3,2,2,2,2,2,3,1,2,4,4,4,4,3,1,1,1,1,3,3,2,1,2,2,2,2,3,4,4,2,2,2,2,2,2,3,2,1,2,3,2,3,2,2,2,2,3,2,3,3,1,1,2,2,2,3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