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6,1,3,16,1,3,16,2,2,16,1,3,16,2,2,16,2,2,16,2,3,16,2,3,16,3,2,16,2,3,16,3,2,16,3,2,16,2,2,16,3,2,17,3,2,16,2,2,17,3,2,17,2,2,5,4,3,5,4,3,5,3,2,5,4,3,5,3,2,5,3,3,4,3,2,4,3,2,5,3,3,4,3,2,5,3,3,5,3,2,15,3,3,15,3,3,15,4,2,15,3,3,15,4,2,15,4,3,15,3,2,15,3,2,16,3,3,15,3,2,16,3,3,16,3,2,15,3,2,15,4,2,16,4,2,15,3,2,16,4,2,16,3,2,6,5,3,6,5,3,6,4,2,6,5,3,6,4,2,6,4,3,5,4,2,5,4,2,6,4,3,5,4,2,6,4,3,6,4,3,5,5,3,5,4,3,6,4,3,5,5,3,6,4,3,6,5,2,7,6,3,7,6,3,7,5,2,7,6,3,7,5,2,7,5,3,6,5,2,6,5,2,7,5,3,6,5,2,7,5,3,7,5,3,6,6,3,6,5,3,7,5,3,6,6,3,7,5,3,7,6,2,8,7,3,8,7,3,8,6,2,8,7,3,8,6,2,8,6,3,7,6,2,7,6,2,8,6,3,7,6,2,8,6,3,8,6,3,7,7,3,7,6,3,8,6,3,7,7,3,8,6,3,8,7,2,8,8,3,8,8,3,8,7,2,8,8,3,8,7,2,8,7,2,9,7,3,9,7,3,9,8,2,9,7,3,9,8,2,9,8,3,9,7,2,9,7,2,10,7,3,9,7,2,10,7,3,10,7,3,9,8,3,9,7,3,10,7,3,9,8,3,10,7,3,10,8,3,10,7,2,10,7,2,11,7,3,10,7,2,11,7,3,11,7,3,10,8,3,10,7,3,11,7,3,10,8,3,11,7,3,11,8,3,8,8,2,8,8,2,9,8,3,8,8,2,9,8,3,9,8,3,15,0,4,15,0,4,15,1,3,15,0,4,15,1,3,15,1,3,15,1,4,15,1,4,15,2,3,15,1,4,15,2,3,15,2,3,15,2,4,15,2,4,16,2,3,15,2,4,16,2,3,16,2,3,15,1,3,15,2,3,16,2,3,15,1,3,16,2,3,16,1,3,16,2,4,16,2,4,16,3,3,16,2,4,16,3,3,16,3,3,5,4,4,5,4,4,5,3,3,5,4,4,5,3,3,5,3,4,4,3,3,4,3,3,5,3,4,4,3,3,5,3,4,5,3,4,4,4,4,4,3,4,5,3,4,4,4,4,5,3,4,5,4,3,15,3,4,15,3,4,15,4,3,15,3,4,15,4,3,15,4,4,15,3,3,15,3,3,16,3,4,15,3,3,16,3,4,16,3,3,5,5,4,5,5,4,5,4,3,5,5,4,5,4,3,5,4,3,6,6,4,6,6,4,6,5,3,6,6,4,6,5,3,6,5,4,5,5,3,5,5,3,6,5,4,5,5,3,6,5,4,6,5,3,8,8,4,8,8,4,8,7,3,8,8,4,8,7,3,8,7,4,7,7,3,7,7,3,8,7,4,7,7,3,8,7,4,8,7,4,7,8,4,7,7,4,8,7,4,7,8,4,8,7,4,8,8,4,8,8,3,8,8,3,9,8,4,8,8,3,9,8,4,9,8,4,8,9,4,8,8,4,9,8,4,8,9,4,9,8,4,9,9,4,9,8,3,9,8,3,10,8,4,9,8,3,10,8,4,10,8,4,9,9,4,9,8,4,10,8,4,9,9,4,10,8,4,10,9,4,10,8,3,10,8,3,11,8,4,10,8,3,11,8,4,11,8,4,15,0,5,15,0,5,15,1,4,15,0,5,15,1,4,15,1,4,15,1,5,15,1,5,15,2,4,15,1,5,15,2,4,15,2,4,15,2,5,15,2,5,15,3,4,15,2,5,15,3,4,15,3,4,15,2,4,15,3,4,16,3,4,15,2,4,16,3,4,16,2,4,15,3,5,15,3,5,15,4,4,15,3,5,15,4,4,15,4,4,6,6,5,6,6,5,6,5,4,6,6,5,6,5,4,6,5,5,5,5,4,5,5,4,6,5,5,5,5,4,6,5,5,6,5,5,5,6,5,5,5,5,6,5,5,5,6,5,6,5,5,6,6,4,7,8,5,7,8,5,7,7,4,7,8,5,7,7,4,7,7,5,6,7,4,6,7,4,7,7,5,6,7,4,7,7,5,7,7,5,6,8,5,6,7,5,7,7,5,6,8,5,7,7,5,7,8,4,8,9,5,8,9,5,8,8,4,8,9,5,8,8,4,8,8,5,7,8,4,7,8,4,8,8,5,7,8,4,8,8,5,8,8,5,7,9,5,7,8,5,8,8,5,7,9,5,8,8,5,8,9,4,10,8,5,10,8,5,10,9,4,10,8,5,10,9,4,10,9,5,10,8,4,10,8,4,11,8,5,10,8,4,11,8,5,11,8,5,10,9,5,10,8,5,11,8,5,10,9,5,11,8,5,11,9,5,8,9,4,8,9,4,9,9,5,8,9,4,9,9,5,9,9,5,8,10,5,8,9,5,9,9,5,8,10,5,9,9,5,9,10,5,9,9,4,9,9,4,10,9,5,9,9,4,10,9,5,10,9,5,9,10,5,9,9,5,10,9,5,9,10,5,10,9,5,10,10,5,15,2,6,15,2,6,15,3,5,15,2,6,15,3,5,15,3,5,4,4,6,4,4,6,4,3,5,4,4,6,4,3,5,4,3,6,3,3,5,3,3,5,4,3,6,3,3,5,4,3,6,4,3,6,3,4,6,3,3,6,4,3,6,3,4,6,4,3,6,4,4,5,6,7,6,6,7,6,6,6,5,6,7,6,6,6,5,6,6,6,5,6,5,5,6,5,6,6,6,5,6,5,6,6,6,6,6,6,5,7,6,5,6,6,6,6,6,5,7,6,6,6,6,6,7,5,6,8,6,6,8,6,6,7,5,6,8,6,6,7,5,6,7,5,7,9,6,7,9,6,7,8,5,7,9,6,7,8,5,7,8,6,6,8,5,6,8,5,7,8,6,6,8,5,7,8,6,7,8,5,11,8,6,11,8,6,11,9,5,11,8,6,11,9,5,11,9,6,11,8,5,11,8,5,12,8,6,11,8,5,12,8,6,12,8,5,8,10,6,8,10,6,8,9,5,8,10,6,8,9,5,8,9,6,7,9,5,7,9,5,8,9,6,7,9,5,8,9,6,8,9,6,7,10,6,7,9,6,8,9,6,7,10,6,8,9,6,8,10,5,10,9,6,10,9,6,10,10,5,10,9,6,10,10,5,10,10,6,10,9,5,10,9,5,11,9,6,10,9,5,11,9,6,11,9,6,8,10,5,8,10,5,9,10,6,8,10,5,9,10,6,9,10,6,8,11,6,8,10,6,9,10,6,8,11,6,9,10,6,9,11,6,9,10,5,9,10,5,10,10,6,9,10,5,10,10,6,10,10,6,15,2,7,15,2,7,15,3,6,15,2,7,15,3,6,15,3,6,4,5,7,4,5,7,4,4,6,4,5,7,4,4,6,4,4,7,3,4,6,3,4,6,4,4,7,3,4,6,4,4,7,4,4,6,5,7,7,5,7,7,5,6,6,5,7,7,5,6,6,5,6,6,6,8,7,6,8,7,6,7,6,6,8,7,6,7,6,6,7,7,5,7,6,5,7,6,6,7,7,5,7,6,6,7,7,6,7,7,5,8,7,5,7,7,6,7,7,5,8,7,6,7,7,6,8,6,7,9,7,7,9,7,7,8,6,7,9,7,7,8,6,7,8,7,6,8,6,6,8,6,7,8,7,6,8,6,7,8,7,7,8,7,6,9,7,6,8,7,7,8,7,6,9,7,7,8,7,7,9,6,11,8,7,11,8,7,11,9,6,11,8,7,11,9,6,11,9,7,11,8,6,11,8,6,12,8,7,11,8,6,12,8,7,12,8,7,12,8,6,12,8,6,13,8,7,12,8,6,13,8,7,13,8,6,7,10,7,7,10,7,7,9,6,7,10,7,7,9,6,7,9,6,10,9,7,10,9,7,10,10,6,10,9,7,10,10,6,10,10,7,10,9,6,10,9,6,11,9,7,10,9,6,11,9,7,11,9,7,10,10,7,10,9,7,11,9,7,10,10,7,11,9,7,11,10,6,8,11,7,8,11,7,8,10,6,8,11,7,8,10,6,8,10,7,7,10,6,7,10,6,8,10,7,7,10,6,8,10,7,8,10,7,7,11,7,7,10,7,8,10,7,7,11,7,8,10,7,8,11,6,9,10,7,9,10,7,9,11,6,9,10,7,9,11,6,9,11,7,9,10,6,9,10,6,10,10,7,9,10,6,10,10,7,10,10,7,9,11,7,9,10,7,10,10,7,9,11,7,10,10,7,10,11,7,8,11,6,8,11,6,9,11,7,8,11,6,9,11,7,9,11,7,8,12,7,8,11,7,9,11,7,8,12,7,9,11,7,9,12,7,9,31,7,9,30,7,10,30,7,9,31,7,10,30,7,10,31,7,9,32,7,9,31,7,10,31,7,9,32,7,10,31,7,10,32,7,14,1,8,14,1,8,14,2,7,14,1,8,14,2,7,14,2,7,14,2,8,14,2,8,15,2,7,14,2,8,15,2,7,15,2,7,14,1,7,14,2,7,15,2,7,14,1,7,15,2,7,15,1,7,15,2,8,15,2,8,15,3,7,15,2,8,15,3,7,15,3,7,4,5,8,4,5,8,4,4,7,4,5,8,4,4,7,4,4,8,3,4,7,3,4,7,4,4,8,3,4,7,4,4,8,4,4,8,3,5,8,3,4,8,4,4,8,3,5,8,4,4,8,4,5,7,12,7,8,12,7,8,12,8,7,12,7,8,12,8,7,12,8,8,12,7,7,12,7,7,13,7,8,12,7,7,13,7,8,13,7,7,12,7,7,12,8,7,13,8,7,12,7,7,13,8,7,13,7,7,11,8,8,11,8,8,11,9,7,11,8,8,11,9,7,11,9,8,11,8,7,11,8,7,12,8,8,11,8,7,12,8,8,12,8,7,11,9,8,11,9,8,11,10,7,11,9,8,11,10,7,11,10,7,7,11,8,7,11,8,7,10,7,7,11,8,7,10,7,7,10,7,10,10,8,1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