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