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