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2,2,3,3,3,3,5,3,5,4,3,3,4,4,4,5,4,4,3,3,5,3,2,3,4,4,5,2,5,4,4,4,2,5,4,4,4,4,3,5,3,4,1,4,4,4,4,4,4,3,4,5,4,5,4,4,0,0,4,0,0,0,0,0,0,0,4,3,2,4,4,4,4,5,2,4,4,5,3,4,4,5,3,3,5,4,3,4,0,3,5,1,3,3,2,3,4,4,5,4,4,1,4,4,3,3,2,2,3,3,3,2,3,2,3,3,3,2,5,2,4,3,3,3,4,2,3,3,3,4,5,2,5,4,4,4,5,4,3,2,3,4,5,4,5,3,4,4,5,3,2,4,2,3,3,4,0,0,0,0,0,0,0,4,4,6,4,5,4,3,0,0,3,0,0,0,0,0,3,4,4,5,4,7,4,6,2,6,3,5,4,6,4,5,5,6,5,6,5,4,5,5,0,0,5,4,4,2,3,5,5,4,5,0,0,0,0,3,0,0,0,0,0,0,0,5,6,5,5,5,5,2,0,0,5,4,4,4,5,4,5,5,5,5,4,5,4,4,4,5,3,6,5,2,6,6,3,5,5,4,5,5,4,5,5,5,5,6,5,5,5,5,3,5,4,5,5,5,5,4,4,4,4,4,5,5,4,3,5,5,4,4,5,6,5,6,4,5,5,5,5,5,4,5,6,4,7,4,6,5,5,7,7,7,6,6,6,4,7,6,6,5,5,6,5,4,6,5,5,6,6,5,7,6,6,5,5,5,6,6,5,5,6,5,5,4,6,5,5,5,4,6,5,5,4,5,4,6,6,5,5,5,4,4,4,4,5,4,0,0,0,0,0,0,5,5,5,2,5,5,5,5,5,6,5,5,6,5,4,4,3,5,3,5,6,3,5,5,5,5,6,5,5,6,4,2,6,6,4,5,5,5,4,6,5,5,4,5,3,3,5,6,3,6,3,4,3,4,6,3,5,3,4,3,4,3,4,1,4,4,3,4,5,4,5,3,4,0,2,0,2,1,3,4,6,3,4,4,4,5,6,4,2,4,5,6,5,4,5,5,5,5,5,4,5,5,5,5,6,5,4,3,4,4,4,5,7,5,7,3,3,4,3,4,6,3,5,5,5,4,5,6,6,4,4,6,4,3,3,6,6,4,4,5,7,4,2,3,5,4,4,3,5,6,4,6,4,4,5,6,5,6,5,6,5,6,6,6,6,6,6,4,5,5,4,5,5,5,6,5,0,0,0,0,0,5,5,5,5,5,6,5,4,2,6,5,3,4,6,5,6,6,5,5,4,6,4,4,6,5,4,5,5,0,0,5,5,3,5,4,6,3,4,3,5,3,5,5,3,5,4,4,6,4,5,5,4,5,4,4,5,0,0,0,4,4,4,4,4,5,5,5,3,6,5,5,5,5,4,4,5,3,6,5,6,3,5,4,5,4,3,5,4,4,5,5,5,5,5,4,4,2,5,5,4,3,6,3,6,5,3,4,4,5,4,3,3,5,4,6,5,4,6,4,6,4,5,5,5,3,5,4,4,5,6,4,4,5,4,5,7,5,4,5,4,5,5,5,4,5,3,2,5,3,4,3,4,4,4,4,4,2,4,4,4,4,5,5,5,5,4,5,5,4,5,4,6,3,5,5,4,4,4,5,5,5,4,6,4,5,5,4,6,4,5,4,6,5,4,4,5,5,5,4,2,3,4,5,6,2,6,5,4,5,4,4,4,3,4,5,5,4,3,5,6,5,5,5,4,4,3,6,4,5,5,4,6,5,4,4,3,6,3,5,3,6,5,4,4,5,5,5,5,5,5,4,5,5,3,6,3,4,6,5,5,5,5,5,5,4,5,3,5,4,5,5,3,3,6,4,4,3,3,2,2,3,4,4,3,4,3,3,4,3,3,3,3,2,2,3,3,3,3,3,4,3,2,4,4,2,3,3,3,3,4,4,2,1,3,2,2,2,3,2,2,3,3,2,4,4,5,5,5,4,5,5,5,5,5,5,5,5,4,6,2,5,4,4,3,3,5,3,4,5,4,3,3,5,5,4,5,4,2,4,5,5,5,5,4,5,5,3,4,5,3,4,4,2,4,4,5,5,4,4,5,3,3,5,4,5,5,5,5,5,5,3,4,5,4,5,5,5,5,5,5,4,6,5,4,5,0,0,5,5,5,5,5,4,4,6,5,5,4,4,4,3,4,4,3,5,5,5,5,3,6,3,4,5,5,5,4,5,4,4,2,5,5,4,6,4,3,4,4,5,5,5,5,5,5,4,5,3,5,5,5,4,6,5,5,4,6,4,4,5,4,4,3,4,4,5,3,5,4,4,6,4,4,6,3,5,4,5,5,3,4,4,3,2,3,4,4,4,4,4,6,7,5,4,2,5,6,6,5,7,6,6,6,6,6,6,2,5,5,3,4,5,4,5,5,3,5,3,5,5,5,5,4,3,4,5,4,5,4,5,4,3,3,5,5,4,6,5,6,5,5,5,5,4,5,5,5,3,4,5,5,5,6,4,5,5,4,3,2,5,5,5,4,6,4,3,4,3,4,3,5,4,4,5,5,4,6,4,4,4,5,5,5,5,5,5,5,5,4,6,5,5,4,4,5,6,4,5,6,4,6,3,5,3,4,3,4,4,5,5,5,4,7,5,5,5,5,5,5,6,5,4,5,6,5,4,7,5,5,5,5,2,4,3,4,5,5,5,4,4,5,4,5,4,6,5,3,6,3,6,3,6,5,5,6,3,3,3,4,5,5,5,5,4,5,6,4,5,5,5,5,5,6,5,4,6,5,4,3,5,3,4,4,5,4,4,3,4,3,3,4,3,4,5,5,4,5,5,4,4,4,5,5,5,5,4,5,4,4,4,5,4,4,6,3,5,4,4,5,4,5,4,3,4,6,4,5,4,4,4,5,6,6,0,0,5,3,2,4,4,4,3,6,4,5,3,4,3,4,4,5,5,4,5,4,3,5,4,4,4,3,0,0,3,3,3,3,4,3,4,4,4,4,5,4,5,5,4,5,5,4,4,4,5,4,0,0,0,0,0,4,5,5,4,2,3,4,4,4,5,4,5,2,6,5,5,5,5,2,3,4,4,4,3,5,5,4,4,4,5,5,4,5,5,4,4,6,3,5,5,4,4,4,5,5,4,6,5,5,4,4,5,2,7,3,5,5,4,5,5,4,6,3,4,5,5,4,6,4,4,4,4,3,2,4,4,5,4,5,5,4,4,5,4,3,6,5,4,4,4,5,4,5,3,4,4,2,6,5,5,5,3,4,4,5,4,6,5,5,5,5,6,5,4,5,5,2,1,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,3,3,5,5,4,5,5,6,3,4,6,0,0,5,3,0,0,0,0,0,0,0,0,0,0,0,0,4,6,5,5,5,0,0,0,4,5,4,6,4,4,4,3,3,3,3,5,5,4,5,3,5,5,3,3,5,4,4,2,6,4,3,4,4,3,4,4,2,5,5,6,5,5,4,5,5,0,0,4,5,2,6,4,0,0,4,4,4,4,5,4,6,4,4,4,4,3,6,4,4,3,4,4,5,4,6,5,5,5,4,3,3,5,3,5,6,4,3,4,3,4,4,6,4,4,4,6,4,3,3,3,3,4,6,5,5,5,5,5,5,5,5,6,4,6,5,6,7,6,6,5,7,6,8,9,6,7,8,8,8,10,7,6,10,6,10,9,7,6,10,6,7,10,7,9,6,10,8,10,8,11,9,9,11,10,10,9,9,9,10,10,12,12,11,13,9,9,12,12,12,12,11,13,11,10,14,12,11,11,11,13,13,11,12,11,11,12,13,8,11,13,11,10,12,14,11,13,12,14,11,10,12,11,11,11,7,10,11,9,11,14,13,11,12,13,12,15,12,10,10,15,12,10,11,12,13,11,12,9,9,10,8,10,12,10,6,9,8,10,9,10,8,11,9,10,13,10,9,11,11,10,9,12,9,12,11,12,11,9,11,14,13,11,11,12,9,12,12,12,11,8,9,10,9,11,9,9,10,9,10,10,10,10,9,10,12,8,10,10,12,8,9,11,6,9,10,8,8,13,10,9,10,9,9,9,11,10,8,10,9,10,9,6,11,10,10,11,10,7,12,10,10,13,10,11,8,7,7,8,9,11,11,11,9,9,11,9,8,11,13,11,10,12,10,9,10,9,13,8,10,9,9,8,10,10,8,10,11,11,10,11,9,10,11,12,8,9,10,10,10,11,10,9,10,12,13,10,13,11,11,11,10,12,9,11,9,11,12,11,14,10,9,10,11,11,9,13,9,13,9,9,9,10,10,9,10,11,10,9,8,13,10,12,9,11,13,8,11,9,10,11,10,10,9,11,11,12,7,10,8,10,8,8,8,12,7,12,8,14,9,12,9,12,10,10,6,8,9,12,8,10,9,10,13,9,10,12,10,11,8,10,10,11,9,10,11,8,10,11,8,12,11,12,8,11,11,11,10,11,9,12,7,11,5,8,11,9,11,9,10,9,10,11,8,13,9,8,11,10,9,9,8,7,8,11,12,7,14,9,10,12,11,9,11,8,13,9,11,9,12,10,9,11,10,11,13,12,11,10,9,9,12,9,11,13,12,11,10,10,12,11,9,9,11,9,12,9,8,11,10,12,11,11,11,12,11,12,12,11,12,12,8,6,12,10,12,9,10,12,11,13,12,9,9,13,9,7,13,10,14,9,13,10,11,11,11,10,10,12,13,12,10,10,10,11,10,9,10,11,10,9,11,12,10,11,11,10,11,9,9,9,7,10,8,7,6,6,5,6,6,6,5,6,6,5,4,4,6,7,5,8,6,5,8,6,7,8,7,7,6,6,6,7,9,8,6,6,9,6,7,8,6,6,7,6,7,7,8,6,6,5,8,7,6,7,7,7,8,6,8,6,8,7,6,7,8,5,7,6,7,6,6,5,5,5,6,7,7,7,7,7,7,8,7,5,5,6,7,8,7,5,8,8,7,4,9,6,6,4,8,7,7,8,7,3,8,3,6,6,6,7,7,7,7,7,6,6,9,7,7,8,7,6,8,7,9,9,8,10,8,8,10,9,9,8,6,9,7,6,10,8,8,11,8,10,8,9,9,9,12,8,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