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