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