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