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