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