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6,3,2,6,4,2,7,4,2,6,3,2,7,4,2,7,3,2,7,4,3,7,4,3,8,4,2,7,4,3,8,4,2,8,4,2,7,3,2,7,4,2,8,4,2,7,3,2,8,4,2,8,3,2,8,4,3,8,4,3,9,4,2,8,4,3,9,4,2,9,4,2,8,3,2,8,4,2,9,4,2,8,3,2,9,4,2,9,3,2,9,4,3,9,4,3,10,4,2,9,4,3,10,4,2,10,4,2,9,3,2,9,4,2,10,4,2,9,3,2,10,4,2,10,3,2,10,4,3,10,4,3,11,4,2,10,4,3,11,4,2,11,4,2,10,3,2,10,4,2,11,4,2,10,3,2,11,4,2,11,3,2,11,4,3,11,4,3,12,4,2,11,4,3,12,4,2,12,4,2,11,3,2,11,4,2,12,4,2,11,3,2,12,4,2,12,3,2,12,4,3,12,4,3,13,4,2,12,4,3,13,4,2,13,4,2,12,3,2,12,4,2,13,4,2,12,3,2,13,4,2,13,3,2,13,4,3,13,4,3,14,4,2,13,4,3,14,4,2,14,4,2,13,3,2,13,4,2,14,4,2,13,3,2,14,4,2,14,3,2,14,4,3,14,4,3,15,4,2,14,4,3,15,4,2,15,4,2,14,3,2,14,4,2,15,4,2,14,3,2,15,4,2,15,3,2,15,4,3,15,4,3,16,4,2,15,4,3,16,4,2,16,4,2,15,3,2,15,4,2,16,4,2,15,3,2,16,4,2,16,3,2,16,4,3,16,4,3,17,4,2,16,4,3,17,4,2,17,4,2,16,3,2,16,4,2,17,4,2,16,3,2,17,4,2,17,3,2,17,4,3,17,4,3,18,4,2,17,4,3,18,4,2,18,4,2,17,3,2,17,4,2,18,4,2,17,3,2,18,4,2,18,3,2,18,4,3,18,4,3,19,4,2,18,4,3,19,4,2,19,4,2,18,3,2,18,4,2,19,4,2,18,3,2,19,4,2,19,3,2,19,4,3,19,4,3,20,4,2,19,4,3,20,4,2,20,4,2,19,3,2,19,4,2,20,4,2,19,3,2,20,4,2,20,3,2,20,4,3,20,4,3,21,4,2,20,4,3,21,4,2,21,4,2,20,3,2,20,4,2,21,4,2,20,3,2,21,4,2,21,3,2,21,4,3,21,4,3,22,4,2,21,4,3,22,4,2,22,4,2,21,3,2,21,4,2,22,4,2,21,3,2,22,4,2,22,3,2,22,4,3,22,4,3,23,4,2,22,4,3,23,4,2,23,4,2,22,3,2,22,4,2,23,4,2,22,3,2,23,4,2,23,3,2,23,4,3,23,4,3,24,4,2,23,4,3,24,4,2,24,4,2,23,3,2,23,4,2,24,4,2,23,3,2,24,4,2,24,3,2,24,4,3,24,4,3,25,4,2,24,4,3,25,4,2,25,4,2,24,3,2,24,4,2,25,4,2,24,3,2,25,4,2,25,3,2,25,4,3,25,4,3,26,4,2,25,4,3,26,4,2,26,4,2,25,3,2,25,4,2,26,4,2,25,3,2,26,4,2,26,3,2,26,4,3,26,4,3,27,4,2,26,4,3,27,4,2,27,4,2,26,3,2,26,4,2,27,4,2,26,3,2,27,4,2,27,3,2,27,4,3,27,4,3,28,4,2,27,4,3,28,4,2,28,4,2,27,3,2,27,4,2,28,4,2,27,3,2,28,4,2,28,3,2,28,4,3,28,4,3,29,4,2,28,4,3,29,4,2,29,4,2,28,3,2,28,4,2,29,4,2,28,3,2,29,4,2,29,3,2,29,4,3,29,4,3,30,4,2,29,4,3,30,4,2,30,4,2,29,3,2,29,4,2,30,4,2,29,3,2,30,4,2,30,3,2,30,4,3,30,4,3,31,4,2,30,4,3,31,4,2,31,4,2,30,3,2,30,4,2,31,4,2,30,3,2,31,4,2,31,3,2,31,4,3,31,4,3,32,4,2,31,4,3,32,4,2,32,4,2,31,3,2,31,4,2,32,4,2,31,3,2,32,4,2,32,3,2,32,4,3,32,4,3,33,4,2,32,4,3,33,4,2,33,4,2,32,3,2,32,4,2,33,4,2,32,3,2,33,4,2,33,3,2,33,4,3,33,4,3,34,4,2,33,4,3,34,4,2,34,4,2,33,3,2,33,4,2,34,4,2,33,3,2,34,4,2,34,3,2,34,4,3,34,4,3,35,4,2,34,4,3,35,4,2,35,4,2,35,4,3,35,4,3,36,4,2,35,4,3,36,4,2,36,4,2,36,4,3,36,4,3,37,4,2,36,4,3,37,4,2,37,4,2,37,4,3,37,4,3,38,4,2,37,4,3,38,4,2,38,4,2,38,4,3,38,4,3,39,4,2,38,4,3,39,4,2,39,4,2,39,4,3,39,4,3,40,4,2,39,4,3,40,4,2,40,4,2,40,4,3,40,4,3,41,4,2,40,4,3,41,4,2,41,4,2,55,4,3,55,4,3,56,4,2,55,4,3,56,4,2,56,4,2,56,4,3,56,4,3,57,4,2,56,4,3,57,4,2,57,4,2,57,4,3,57,4,3,58,4,2,57,4,3,58,4,2,58,4,2,58,4,3,58,4,3,59,4,2,58,4,3,59,4,2,59,4,2,59,4,3,59,4,3,60,4,2,59,4,3,60,4,2,60,4,2,60,4,3,60,4,3,61,4,2,60,4,3,61,4,2,61,4,2,61,4,3,61,4,3,62,4,2,61,4,3,62,4,2,62,4,2,62,4,3,62,4,3,63,4,2,62,4,3,63,4,2,63,4,2,63,4,3,63,4,3,64,4,2,63,4,3,64,4,2,64,4,2,64,4,3,64,4,3,65,4,2,64,4,3,65,4,2,65,4,2,65,4,3,65,4,3,66,4,2,65,4,3,66,4,2,66,4,2,66,4,3,66,4,3,67,4,2,66,4,3,67,4,2,67,4,3,41,5,2,41,5,2,41,4,3,41,5,2,41,4,3,41,4,2,41,5,3,41,5,3,42,5,2,41,5,3,42,5,2,42,5,2,42,5,3,42,5,3,43,5,2,42,5,3,43,5,2,43,5,2,43,5,3,43,5,3,44,5,2,43,5,3,44,5,2,44,5,2,45,5,3,45,5,3,46,5,2,45,5,3,46,5,2,46,5,2,46,5,3,46,5,3,47,5,2,46,5,3,47,5,2,47,5,2,47,5,3,47,5,3,48,5,2,47,5,3,48,5,2,48,5,2,49,5,3,49,5,3,50,5,2,49,5,3,50,5,2,50,5,2,50,5,3,50,5,3,51,5,2,50,5,3,51,5,2,51,5,2,68,5,3,68,5,3,69,5,2,68,5,3,69,5,2,69,5,2,69,5,3,69,5,3,70,5,2,69,5,3,70,5,2,70,5,2,71,6,3,71,6,3,72,6,2,71,6,3,72,6,2,72,6,2,72,6,3,72,6,3,72,7,2,72,6,3,72,7,2,72,7,3,190,6,2,190,6,2,191,6,3,190,6,2,191,6,3,191,6,2,192,7,3,192,7,3,192,6,2,192,7,3,192,6,2,192,6,3,191,6,2,191,6,2,192,6,3,191,6,2,192,6,3,192,6,3,40,8,2,40,8,2,40,7,3,40,8,2,40,7,3,40,7,3,40,7,2,40,7,2,41,7,3,40,7,2,41,7,3,41,7,3,40,8,3,40,7,3,41,7,3,40,8,3,41,7,3,41,8,3,41,7,2,41,7,2,42,7,3,41,7,2,42,7,3,42,7,3,41,8,3,41,7,3,42,7,3,41,8,3,42,7,3,42,8,3,42,7,2,42,7,2,43,7,3,42,7,2,43,7,3,43,7,3,43,7,2,43,7,2,44,7,3,43,7,2,44,7,3,44,7,3,44,7,2,44,7,2,45,7,3,44,7,2,45,7,3,45,7,3,45,7,2,45,7,2,46,7,3,45,7,2,46,7,3,46,7,3,46,7,2,46,7,2,47,7,3,46,7,2,47,7,3,47,7,3,47,7,2,47,7,2,48,7,3,47,7,2,48,7,3,48,7,3,48,7,2,48,7,2,49,7,3,48,7,2,49,7,3,49,7,3,49,7,2,49,7,2,50,7,3,49,7,2,50,7,3,50,7,3,50,7,2,50,7,2,51,7,3,50,7,2,51,7,3,51,7,3,51,7,2,51,7,2,52,7,3,51,7,2,52,7,3,52,7,3,52,7,2,52,7,2,53,7,3,52,7,2,53,7,3,53,7,3,53,7,2,53,7,2,54,7,3,53,7,2,54,7,3,54,7,3,54,7,2,54,7,2,55,7,3,54,7,2,55,7,3,55,7,3,55,7,2,55,7,2,56,7,3,55,7,2,56,7,3,56,7,3,55,8,3,55,7,3,56,7,3,55,8,3,56,7,3,56,8,3,56,7,2,56,7,2,57,7,3,56,7,2,57,7,3,57,7,3,56,8,3,56,7,3,57,7,3,56,8,3,57,7,3,57,8,3,57,7,2,57,7,2,58,7,3,57,7,2,58,7,3,58,7,3,57,8,3,57,7,3,58,7,3,57,8,3,58,7,3,58,8,3,58,7,2,58,7,2,59,7,3,58,7,2,59,7,3,59,7,3,58,8,3,58,7,3,59,7,3,58,8,3,59,7,3,59,8,3,59,7,2,59,7,2,60,7,3,59,7,2,60,7,3,60,7,3,59,8,3,59,7,3,60,7,3,59,8,3,60,7,3,60,8,3,60,7,2,60,7,2,61,7,3,60,7,2,61,7,3,61,7,3,60,8,3,60,7,3,61,7,3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