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3,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,5,5,5,5,5,5,4,4,4,4,4,4,3,3,3,3,3,3,6,6,6,6,6,6,4,4,4,4,4,4,6,6,6,6,6,6,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,8,8,8,8,6,6,6,6,6,6,7,7,7,7,7,7,5,5,5,5,5,5,7,7,7,7,7,7,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,6,6,6,6,6,6,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,3,3,3,3,3,3,2,2,2,2,2,2,4,4,4,4,4,4,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,3,3,3,3,3,3,5,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,5,5,5,5,5,5,6,6,6,6,6,6,5,5,5,5,5,5,4,4,4,4,4,4,5,5,5,5,5,5,4,4,4,4,4,4,3,3,3,3,3,3,4,4,4,4,4,4,6,6,6,6,6,6,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,4,4,4,4,4,4,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,3,3,3,3,3,3,5,5,5,5,5,5,4,4,4,4,4,4,5,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,6,6,6,6,6,6,5,5,5,5,5,5,6,6,6,6,6,6,5,5,5,5,5,5,4,4,4,4,4,4,5,5,5,5,5,5,7,7,7,7,7,7,8,8,8,8,8,8,8,8,8,8,8,8,7,7,7,7,7,7,8,8,8,8,8,8,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,5,5,5,5,5,5,7,7,7,7,7,7,5,5,5,5,5,5,3,3,3,3,3,3,3,3,3,3,3,3,5,5,5,5,5,5,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,5,5,5,5,5,5,4,4,4,4,4,4,5,5,5,5,5,5,6,6,6,6,6,6,5,5,5,5,5,5,7,7,7,7,7,7,8,8,8,8,8,8,9,9,9,9,9,9,7,7,7,7,7,7,9,9,9,9,9,9,8,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,5,5,5,5,5,5,5,5,5,5,5,5,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,6,6,6,6,6,6,5,5,5,5,5,5,7,7,7,7,7,7,6,6,6,6,6,6,5,5,5,5,5,5,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,6,6,6,6,6,6,5,5,5,5,5,5,6,6,6,6,6,6,5,5,5,5,5,5,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,6,6,6,6,6,6,5,5,5,5,5,5,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,8,8,8,8,8,8,8,8,8,8,8,8,6,6,6,6,6,6,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,5,5,5,5,5,5,3,3,3,3,3,3,4,4,4,4,4,4,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,7,7,7,7,7,7,8,8,8,8,8,8,9,9,9,9,9,9,7,7,7,7,7,7,9,9,9,9,9,9,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,7,7,7,7,7,7,5,5,5,5,5,5,8,8,8,8,8,8,8,8,8,8,8,8,6,6,6,6,6,6,6,6,6,6,6,6,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,6,6,6,6,6,6,8,8,8,8,8,8,8,8,8,8,8,8,4,4,4,4,4,4,7,7,7,7,7,7,7,7,7,7,7,7,5,5,5,5,5,5,5,5,5,5,5,5,7,7,7,7,7,7,5,5,5,5,5,5,7,7,7,7,7,7,8,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,3,3,3,3,3,3,4,4,4,4,4,4,7,7,7,7,7,7,9,9,9,9,9,9,7,7,7,7,7,7,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,9,9,9,9,9,9,10,10,10,10,10,10,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,10,10,10,10,10,10,9,9,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,6,6,6,6,6,6,9,9,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,9,9,9,9,9,9,8,8,8,8,8,8,7,7,7,7,7,7,8,8,8,8,8,8,7,7,7,7,7,7,7,7,7,7,7,7,6,6,6,6,6,6,9,9,9,9,9,9,10,10,10,10,10,10,7,7,7,7,7,7,7,7,7,7,7,7,9,9,9,9,9,9,10,10,10,10,10,10,9,9,9,9,9,9,8,8,8,8,8,8,7,7,7,7,7,7,6,6,6,6,6,6,7,7,7,7,7,7,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,10,10,10,10,10,10,5,5,5,5,5,5,8,8,8,8,8,8,7,7,7,7,7,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,10,10,10,10,10,11,11,11,11,11,11,10,10,10,10,10,10,9,9,9,9,9,9,8,8,8,8,8,8,8,8,8,8,8,8,7,7,7,7,7,7,6,6,6,6,6,6,7,7,7,7,7,7,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,5,5,5,5,5,5,7,7,7,7,7,7,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,8,8,8,8,8,8,6,6,6,6,6,6,9,9,9,9,9,9,7,7,7,7,7,7,9,9,9,9,9,9,7,7,7,7,7,7,8,8,8,8,8,8,9,9,9,9,9,9,10,10,10,10,10,10,9,9,9,9,9,9,12,12,12,12,12,12,10,10,10,10,10,10,10,10,10,10,10,10,8,8,8,8,8,8,11,11,11,11,11,11,9,9,9,9,9,9,10,10,10,10,10,10,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,6,6,6,6,6,6,7,7,7,7,7,7,6,6,6,6,6,6,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,5,5,5,5,5,5,3,3,3,3,3,3,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,5,5,5,5,5,5,5,5,5,5,5,5,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,6,6,6,6,6,6,4,4,4,4,4,4,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,5,5,5,5,5,5,6,6,6,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