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