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