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