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