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