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2,2,8,3,2,9,2,2,9,2,2,10,3,2,9,2,2,10,3,2,10,3,2,11,3,2,10,2,2,10,3,2,11,2,2,10,2,2,11,2,3,11,2,3,12,3,3,12,2,3,11,3,3,12,3,3,11,3,2,11,2,2,11,2,3,11,3,2,11,2,3,11,3,3,11,3,3,13,3,3,12,2,3,12,3,3,13,2,3,12,2,3,13,2,3,13,2,3,14,3,3,14,2,3,13,3,3,14,3,3,13,3,3,15,3,3,14,2,3,14,3,3,15,2,3,14,2,3,15,2,3,15,2,3,16,3,3,16,2,3,15,3,3,16,3,3,15,2,3,16,2,3,17,3,3,17,2,3,16,3,3,17,3,3,16,3,4,22,3,4,21,2,4,21,3,4,22,2,4,21,2,4,22,3,4,23,3,4,22,2,4,22,3,4,23,2,4,22,2,4,23,2,4,24,3,4,24,3,4,23,2,4,24,3,4,23,2,4,23,2,4,25,3,4,25,3,4,24,2,4,25,3,4,24,2,4,24,2,4,25,2,4,26,3,4,26,2,4,25,3,4,26,3,4,25,2,4,31,3,4,31,3,4,30,2,4,31,3,4,30,2,4,30,2,4,32,3,4,32,3,4,31,2,4,32,3,4,31,2,4,31,3,3,0,3,3,1,4,3,1,3,3,0,4,3,1,4,3,0,4,2,1,4,2,0,4,3,0,4,2,1,4,3,0,4,3,1,3,3,2,4,3,2,4,3,1,3,3,2,4,3,1,3,3,1,4,2,2,4,2,1,4,3,1,4,2,2,4,3,1,4,3,2,4,3,2,3,3,2,3,3,3,4,3,2,3,3,3,4,3,3,4,2,3,4,2,2,4,3,2,4,2,3,4,3,2,4,3,3,4,3,3,3,3,3,3,3,4,4,3,3,3,3,4,4,3,4,3,2,4,4,2,4,4,3,4,3,2,4,4,3,4,3,3,4,4,2,4,4,2,3,4,3,3,4,2,4,4,3,3,4,3,4,3,2,5,4,2,5,4,2,4,3,2,5,4,2,4,3,2,4,3,2,6,4,2,6,4,2,5,3,2,6,4,2,5,3,2,5,4,2,6,3,2,6,3,2,7,4,2,6,3,2,7,4,2,7,3,2,8,4,2,8,4,2,7,3,2,8,4,2,7,3,2,7,3,2,9,4,2,9,4,2,8,3,2,9,4,2,8,3,2,8,3,2,9,3,2,10,4,2,10,3,2,9,4,2,10,4,2,9,4,2,10,3,2,10,3,2,11,4,2,10,3,2,11,4,2,11,4,3,11,3,3,11,3,3,12,4,3,11,3,3,12,4,3,12,4,2,11,3,2,11,3,3,11,4,2,11,3,3,11,4,3,11,3,3,13,4,3,13,4,3,12,3,3,13,4,3,12,3,3,12,3,3,14,4,3,14,4,3,13,3,3,14,4,3,13,3,3,13,3,3,15,4,3,15,4,3,14,3,3,15,4,3,14,3,3,14,4,3,15,3,3,15,3,3,16,4,3,15,3,3,16,4,3,16,3,3,17,4,3,17,4,3,16,3,3,17,4,3,16,3,3,16,3,4,22,4,4,22,4,4,21,3,4,22,4,4,21,3,4,21,3,4,23,4,4,23,4,4,22,3,4,23,4,4,22,3,4,22,3,4,23,3,4,24,4,4,24,3,4,23,4,4,24,4,4,23,4,4,25,4,4,24,3,4,24,4,4,25,3,4,24,3,4,25,3,4,26,4,4,26,4,4,25,3,4,26,4,4,25,3,4,25,4,4,31,4,4,30,3,4,30,4,4,31,3,4,30,3,4,31,4,4,32,4,4,31,3,4,31,4,4,32,3,4,31,3,4,32,5,2,0,4,2,0,4,2,1,5,2,0,4,2,1,5,2,1,5,2,1,4,2,1,4,2,2,5,2,1,4,2,2,5,2,2,5,2,2,4,2,2,4,2,3,5,2,2,4,2,3,5,2,3,4,2,4,5,2,4,5,2,3,4,2,4,5,2,3,4,2,3,4,2,4,4,2,5,5,2,5,4,2,4,5,2,5,5,2,4,4,2,5,4,2,6,5,2,6,4,2,5,5,2,6,5,2,5,4,2,7,5,2,7,5,2,6,4,2,7,5,2,6,4,2,6,5,2,8,5,2,7,4,2,7,5,2,8,4,2,7,4,2,8,4,2,8,4,2,9,5,2,9,4,2,8,5,2,9,5,2,8,4,2,9,4,2,10,5,2,10,4,2,9,5,2,10,5,2,9,5,3,10,4,3,10,4,3,11,5,3,10,4,3,11,5,3,11,5,2,10,4,2,10,4,3,10,5,2,10,4,3,10,5,3,10,4,2,10,4,2,11,4,3,11,4,2,10,4,3,11,4,3,10,5,3,11,4,3,11,4,3,12,5,3,11,4,3,12,5,3,12,5,3,13,5,3,12,4,3,12,5,3,13,4,3,12,4,3,13,5,3,14,5,3,13,4,3,13,5,3,14,4,3,13,4,3,14,5,3,15,5,3,14,4,3,14,5,3,15,4,3,14,4,3,15,4,3,16,5,3,16,5,3,15,4,3,16,5,3,15,4,3,15,5,3,16,4,3,16,4,3,17,5,3,16,4,3,17,5,3,17,4,4,21,4,4,22,5,4,22,4,4,21,5,4,22,5,4,21,4,4,23,5,4,23,5,4,22,4,4,23,5,4,22,4,4,22,4,4,24,5,4,24,5,4,23,4,4,24,5,4,23,4,4,23,5,4,24,4,4,24,4,4,25,5,4,24,4,4,25,5,4,25,4,4,26,5,4,26,5,4,25,4,4,26,5,4,25,4,4,25,4,4,31,5,4,31,5,4,30,4,4,31,5,4,30,4,4,30,4,4,31,4,4,32,5,4,32,4,4,31,5,4,32,5,4,31,6,2,1,6,2,0,5,2,0,6,2,1,5,2,0,5,2,1,6,2,2,6,2,1,5,2,1,6,2,2,5,2,1,5,2,2,5,2,3,6,2,3,6,2,2,5,2,3,6,2,2,5,2,2,6,2,3,5,2,3,5,2,4,6,2,3,5,2,4,6,2,4,5,2,4,5,2,5,6,2,5,5,2,4,6,2,5,6,2,4,5,2,5,5,2,6,6,2,6,5,2,5,6,2,6,6,2,5,6,2,6,5,2,6,5,2,7,6,2,6,5,2,7,6,2,7,5,2,7,5,2,8,6,2,8,5,2,7,6,2,8,6,2,7,5,2,9,6,2,9,6,2,8,5,2,9,6,2,8,5,2,8,6,3,10,6,3,9,5,3,9,6,3,10,5,3,9,5,3,10,5,2,9,5,2,10,5,3,10,5,2,9,5,3,10,5,3,9,6,2,9,5,2,9,5,3,9,6,2,9,5,3,9,6,3,9,5,3,11,6,3,11,6,3,10,5,3,11,6,3,10,5,3,10,6,3,11,5,3,11,5,3,12,6,3,11,5,3,12,6,3,12,6,3,12,5,3,12,5,3,13,6,3,12,5,3,13,6,3,13,6,3,14,6,3,13,5,3,13,6,3,14,5,3,13,5,3,14,6,3,14,5,3,14,5,3,15,6,3,14,5,3,15,6,3,15,6,3,16,6,3,15,5,3,15,6,3,16,5,3,15,5,3,16,6,3,17,6,3,16,5,3,16,6,3,17,5,3,16,5,3,17,5,3,18,6,3,18,6,3,17,5,3,18,6,3,17,5,3,17,6,3,19,6,3,18,5,3,18,6,3,19,5,3,18,5,3,19,6,3,19,5,3,19,5,3,20,6,3,19,5,3,20,6,3,20,5,4,21,6,4,21,6,4,20,5,4,21,6,4,20,5,4,20,6,3,20,5,3,20,5,4,20,6,3,20,5,4,20,6,4,20,6,4,21,5,4,21,5,4,22,6,4,21,5,4,22,6,4,22,5,4,22,5,4,23,6,4,23,5,4,22,6,4,23,6,4,22,6,4,24,6,4,23,5,4,23,6,4,24,5,4,23,5,4,24,5,4,25,6,4,25,6,4,24,5,4,25,6,4,24,5,4,24,6,4,25,5,4,25,5,4,26,6,4,25,5,4,26,6,4,26,5,4,26,5,4,27,6,4,27,5,4,26,6,4,27,6,4,26,5,4,27,5,4,28,6,4,28,5,4,27,6,4,28,6,4,27,6,4,28,5,4,28,5,4,29,6,4,28,5,4,29,6,4,29,6,4,30,6,4,29,5,4,29,6,4,30,5,4,29,5,4,30,5,4,31,6,4,31,6,4,30,5,4,31,6,4,30,5,4,30,6,4,32,6,4,31,5,4,31,6,4,32,5,4,31,5,4,32,7,2,0,6,2,0,6,2,1,7,2,0,6,2,1,7,2,1,7,2,2,7,2,1,6,2,1,7,2,2,6,2,1,6,2,2,7,2,3,7,2,2,6,2,2,7,2,3,6,2,2,6,2,3,6,2,3,6,2,4,7,2,4,6,2,3,7,2,4,7,2,3,6,2,5,7,2,5,7,2,4,6,2,5,7,2,4,6,2,4,6,2,6,7,2,6,7,2,5,6,2,6,7,2,5,6,2,5,7,2,6,6,2,6,6,2,7,7,2,6,6,2,7,7,2,7,7,2,7,6,2,7,6,2,8,7,2,7,6,2,8,7,2,8,7,3,8,6,3,8,6,3,9,7,3,8,6,3,9,7,3,9,7,2,8,6,2,8,6,3,8,7,2,8,6,3,8,7,3,8,6,2,8,6,2,9,6,3,9,6,2,8,6,3,9,6,3,8,7,3,10,7,3,9,6,3,9,7,3,10,6,3,9,6,3,10,7,3,10,6,3,10,6,3,11,7,3,10,6,3,11,7,3,11,6,3,11,6,3,12,7,3,12,6,3,11,7,3,12,7,3,11,7,3,12,6,3,12,6,3,13,7,3,12,6,3,13,7,3,13,6,3,14,7,3,14,7,3,13,6,3,14,7,3,13,6,3,13,6,3,14,6,3,15,7,3,15,6,3,14,7,3,15,7,3,14,6,3,15,6,3,16,7,3,16,6,3,15,7,3,16,7,3,15,7,3,16,6,3,16,6,3,17,7,3,1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