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