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