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2,1,1,1,3,5,3,5,5,5,4,4,2,4,3,2,2,3,1,1,2,4,4,4,5,3,3,1,5,3,3,4,4,4,3,4,5,5,5,4,5,2,5,3,5,4,4,5,4,5,3,5,4,3,1,4,2,5,5,4,3,5,5,5,5,3,2,3,5,4,5,5,5,5,5,5,5,5,4,5,5,5,5,3,3,4,2,4,4,1,2,2,1,1,4,4,4,4,5,4,4,5,5,2,4,4,4,2,3,4,3,3,4,4,3,3,4,3,3,2,3,2,2,2,2,1,2,2,4,4,4,3,3,3,3,3,3,3,2,3,3,2,3,2,3,3,2,1,1,1,1,1,1,4,4,5,3,2,1,1,1,1,1,2,2,1,1,2,1,1,3,3,4,4,4,3,3,5,5,5,5,4,5,4,5,5,5,5,5,4,5,5,5,5,2,3,2,2,2,3,2,3,1,4,3,3,5,4,5,5,5,5,4,5,3,5,4,5,5,3,3,2,3,3,4,4,3,2,4,5,3,3,5,2,2,4,2,3,3,4,5,5,3,4,4,3,5,3,3,1,3,3,3,2,1,2,2,2,3,2,3,3,4,4,4,4,3,5,5,5,5,4,5,4,2,4,4,3,3,2,2,3,2,3,3,2,2,3,3,1,1,3,3,3,2,3,2,4,3,4,4,4,3,4,4,4,4,4,4,4,4,4,5,4,4,4,4,4,3,3,4,3,3,4,4,2,1,3,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,4,3,2,3,4,3,3,2,2,3,1,4,3,4,3,3,5,4,5,2,3,4,3,3,3,5,5,2,3,4,2,4,5,5,5,5,5,5,5,5,4,2,4,5,3,4,3,5,5,5,5,5,5,4,4,5,1,5,5,5,4,5,1,5,5,1,4,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,5,5,5,5,5,5,4,5,4,4,3,1,1,1,1,2,1,4,2,1,4,3,3,2,4,4,2,2,2,3,1,1,1,2,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,5,5,3,1,4,5,5,3,1,5,2,1,2,1,1,2,1,1,1,3,2,2,1,4,4,5,4,3,1,2,1,2,2,1,1,1,4,3,3,5,3,1,3,4,3,5,5,4,1,2,3,2,3,4,4,4,5,5,5,5,4,4,1,1,2,3,3,3,3,1,2,3,3,2,3,2,1,2,1,3,2,2,1,1,1,2,4,3,4,3,3,4,3,1,1,1,3,2,1,2,1,4,3,2,3,2,1,3,4,4,4,4,3,3,2,1,2,1,2,3,3,2,1,1,2,1,2,1,4,3,3,3,3,1,1,3,2,1,1,1,1,1,3,3,4,4,4,4,5,4,4,2,3,4,4,4,4,2,2,2,2,3,2,4,2,2,2,3,1,5,4,3,2,1,1,1,2,2,3,4,2,1,3,4,3,3,4,4,5,4,3,5,4,3,4,2,3,5,4,3,2,2,2,2,2,4,4,4,5,2,4,3,4,2,3,4,4,3,2,3,4,2,3,2,4,3,1,2,2,4,3,3,3,1,2,1,1,4,4,3,2,2,4,2,4,5,5,5,4,4,5,4,4,5,4,5,5,2,1,2,4,4,4,3,2,3,3,4,2,3,2,2,2,2,3,2,4,2,4,3,3,3,3,4,4,4,4,5,4,2,2,3,2,2,2,3,3,3,3,1,2,4,3,3,2,5,2,1,2,1,2,1,1,1,1,4,3,4,3,1,3,2,2,4,1,2,3,3,4,3,2,4,4,4,3,4,4,4,3,5,4,4,3,5,4,5,5,4,1,2,1,1,1,1,1,1,1,1,1,1,5,4,5,5,4,5,4,2,5,3,3,2,2,1,5,2,3,4,1,2,3,4,3,2,1,2,1,1,1,1,1,1,1,2,3,3,2,4,3,1,2,1,3,3,4,3,2,3,3,3,2,4,3,3,3,4,3,5,5,4,2,2,3,4,2,3,1,3,3,1,2,4,2,4,1,1,1,1,2,2,1,1,2,3,4,5,3,4,3,2,5,4,3,3,4,2,4,5,4,2,2,3,3,5,3,5,5,3,4,4,3,5,4,4,5,5,5,5,5,5,5,5,5,4,4,5,5,4,5,5,5,3,3,3,3,2,5,4,2,2,2,3,1,2,2,4,1,2,3,1,2,4,5,2,3,3,4,3,3,4,3,2,3,2,3,2,2,3,3,3,2,2,4,2,5,2,3,2,3,1,3,3,1,1,2,1,1,1,1,4,5,4,5,5,4,4,4,3,3,4,2,5,4,2,5,4,4,4,5,5,5,5,5,1,1,3,3,3,4,3,3,4,5,2,3,2,2,2,3,2,2,1,2,2,2,1,2,4,3,3,2,3,2,4,4,3,2,2,1,2,2,3,4,2,1,1,1,3,3,2,1,2,2,2,3,2,2,3,3,3,2,2,1,1,3,1,3,2,2,2,2,4,3,1,1,3,2,2,2,2,1,1,2,1,2,2,1,2,1,2,3,3,4,3,3,2,2,2,3,4,4,5,3,2,2,2,3,3,3,2,2,3,3,3,3,1,2,2,4,5,5,4,4,2,4,3,1,5,4,4,4,5,3,3,5,3,5,4,5,5,4,5,4,4,4,3,1,2,4,3,4,4,4,3,5,2,1,3,2,2,2,3,3,2,2,2,3,3,2,2,2,3,3,3,4,5,3,3,1,2,2,2,3,4,4,1,1,1,1,1,3,1,1,1,2,3,3,3,2,3,2,3,2,1,1,1,1,2,2,3,2,1,1,1,1,1,1,2,4,3,1,1,1,1,1,1,1,3,4,4,4,4,1,2,1,1,1,1,1,1,1,3,4,4,3,3,3,2,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,2,1,1,1,2,1,1,1,2,2,2,1,2,5,4,2,2,1,2,2,2,2,1,1,2,2,2,3,3,2,2,2,2,5,4,5,5,5,4,3,5,5,2,3,4,4,4,5,4,4,4,3,4,4,3,2,3,4,5,4,5,4,4,5,5,2,4,3,2,3,2,1,2,3,2,2,2,1,1,2,2,1,2,2,3,2,3,3,3,3,4,2,1,2,1,4,4,1,4,2,5,3,3,3,4,4,5,3,5,4,5,5,4,4,3,4,1,2,1,2,1,1,3,1,3,5,4,3,4,5,3,2,2,1,4,2,1,1,1,1,1,1,1,1,2,2,5,4,3,4,4,2,2,1,1,1,2,1,2,1,1,1,2,2,3,3,2,3,3,3,3,3,3,2,2,2,2,4,2,4,2,4,4,4,3,3,4,3,2,1,2,3,2,3,2,3,3,2,2,3,2,2,3,2,1,3,4,3,4,4,1,2,2,3,2,1,1,1,2,2,1,1,1,2,3,1,3,1,2,2,1,1,3,2,1,1,1,2,2,1,3,1,2,2,1,1,1,1,1,2,2,2,2,2,3,2,1,1,1,2,2,3,2,1,2,2,3,3,3,3,3,2,2,1,2,3,2,2,1,2,3,2,2,1,1,2,1,3,1,2,3,2,3,2,2,1,2,1,2,2,3,2,2,3,1,1,3,1,1,3,4,3,2,2,2,2,2,3,1,1,1,1,1,1,1,3,2,1,1,1,1,1,1,1,2,1,2,1,3,3,2,1,1,1,1,3,3,2,1,1,2,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,1,2,5,4,1,5,4,5,5,5,5,5,5,5,5,5,3,4,3,5,4,4,4,3,1,3,3,3,3,3,2,3,2,3,1,3,5,5,3,4,5,2,1,1,4,2,2,2,1,1,2,2,3,1,1,2,3,3,1,1,1,1,1,1,1,1,2,5,4,5,4,2,5,4,3,3,5,4,3,4,3,5,4,2,2,1,5,3,5,5,4,4,5,5,3,3,3,4,3,3,4,4,5,4,5,5,5,4,5,3,5,5,5,5,4,5,5,3,2,2,3,4,5,2,2,3,2,2,1,2,4,4,3,3,2,2,2,2,2,2,1,2,1,1,2,1,2,2,2,4,3,4,4,3,2,2,3,3,2,2,2,2,2,2,2,4,2,2,3,3,1,2,3,3,2,3,4,3,4,4,4,5,4,3,3,3,4,3,4,2,1,2,3,3,3,3,3,1,4,5,2,4,3,4,4,5,1,2,2,1,1,1,2,2,3,1,2,1,3,3,4,3,3,3,3,2,2,4,4,4,2,4,4,5,5,5,1,3,3,1,3,1,1,1,1,1,2,3,2,2,1,2,4,4,4,3,2,5,1,5,2,2,1,1,1,2,3,1,1,2,5,5,3,5,2,2,3,3,3,3,4,4,3,3,3,4,2,2,2,2,3,2,2,2,1,1,2,2,1,3,1,1,3,1,1,2,4,1,2,1,1,3,1,1,4,4,2,1,2,3,1,2,3,2,1,3,1,2,2,3,2,4,2,1,2,1,2,1,2,2,1,1,2,2,2,4,2,4,3,3,2,3,2,3,2,2,2,4,2,4,4,5,4,4,3,1,1,1,2,1,1,1,1,1,4,5,4,1,1,1,3,1,1,4,4,1,4,4,3,4,4,4,3,3,4,4,2,5,3,2,5,4,1,4,4,3,3,3,3,2,3,4,2,3,3,3,3,1,3,2,4,3,4,4,4,2,3,3,3,3,4,2,2,1,3,3,1,2,3,1,2,3,2,1,3,1,3,4,2,3,1,3,5,1,3,5,4,5,4,3,4,4,4,5,3,2,1,2,2,2,2,2,2,2,2,3,2,2,2,1,2,1,1,1,1,2,3,1,1,2,1,4,3,4,4,4,4,3,4,5,3,3,5,4,2,2,3,5,3,4,4,3,2,3,3,2,2,2,1,4,4,4,3,3,1,4,4,5,1,3,4,4,5,2,1,2,1,3,5,4,2,4,3,1,1,1,1,1,1,1,1,3,3,5,5,1,2,1,1,1,1,1,1,3,2,1,2,3,5,3,4,5,4,2,4,5,4,5,5,5,5,5,5,5,4,5,5,1,4,5,5,5,2,3,5,5,1,2,2,1,1,1,1,1,3,2,1,2,1,3,1,2,1,2,1,1,1,1,1,1,2,1,1,1,1,1,1,4,3,2,3,2,3,3,2,1,2,1,1,1,2,2,3,2,4,3,3,5,2,2,2,2,2,2,2,3,3,3,4,2,2,3,2,2,2,2,2,3,4,1,2,2,4,3,5,5,4,4,5,4,3,5,5,4,4,2,4,4,5,5,5,4,2,1,2,1,1,1,1,1,1,1,1,1,1,2,4,2,1,2,1,2,2,3,4,4,2,3,2,2,2,1,2,2,2,2,1,1,1,1,1,1,1,1,1,3,3,4,3,2,3,2,3,3,2,1,1,1,2,1,1,2,2,3,4,3,3,1,5,5,5,4,4,4,2,1,4,3,1,4,4,3,1,2,3,4,4,3,2,4,2,5,5,4,4,1,1,5,1,5,4,3,3,4,4,5,4,2,4,4,4,4,5,4,5,3,5,4,3,2,2,1,1,3,1,2,2,1,2,1,2,1,1,2,2,1,1,2,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1,2,1,2,2,2,2,2,1,2,2,2,2,1,2,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,2,3,1,4,1,3,5,3,1,3,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,2,1,1,1,1,1,1,1,2,3,4,2,4,1,1,1,1,1,1,1,1,2,3,4,4,5,3,3,4,4,5,2,1,2,2,2,3,2,3,3,4,4,5,5,5,2,4,5,5,2,3,4,5,2,4,2,2,3,4,4,5,5,5,5,5,3,3,2,1,2,1,2,1,1,1,1,1,1,1,1,2,1,2,1,1,2,2,3,2,1,1,2,2,4,2,3,3,4,4,5,5,3,4,3,5,2,3,3,2,2,3,3,4,3,3,4,4,5,5,4,5,5,5,5,5,2,3,2,4,5,5,2,5,5,5,5,5,2,5,4,4,4,5,3,4,5,3,5,5,5,5,5,5,5,5,4,5,5,5,2,4,2,4,3,2,2,1,5,5,4,5,3,4,5,5,2,4,2,4,4,3,4,4,3,4,3,3,3,4,4,1,4,4,3,5,4,3,2,4,2,2,2,3,3,2,3,4,3,3,2,4,3,4,4,4,3,4,2,3,3,1,3,4,3,1,1,2,2,3,3,1,2,1,1,1,2,1,4,4,1,3,3,4,2,3,2,2,2,1,2,2,1,2,1,1,1,1,1,3,2,2,5,4,4,3,2,1,1,2,1,2,1,2,3,3,3,1,3,4,2,2,2,1,2,1,1,1,1,1,1,2,2,2,1,3,1,1,1,2,1,1,3,3,1,3,2,1,3,4,4,4,3,3,4,4,2,3,2,3,3,2,2,2,2,2,4,2,3,5,3,3,2,3,2,3,4,4,4,4,3,3,3,3,3,3,3,4,3,4,4,4,3,3,3,3,3,2,4,3,4,2,3,3,2,4,3,3,3,3,3,3,4,4,2,4,4,3,4,3,4,4,4,5,4,3,4,4,1,2,2,3,1,4,3,3,4,3,4,3,4,3,2,3,3,2,4,3,4,4,4,3,2,2,3,3,4,3,1,4,3,3,2,3,5,3,4,3,2,4,2,3,3,4,3,2,3,1,2,3,3,2,3,5,5,4,4,4,3,2,3,3,4,4,3,2,3,2,2,2,2,4,3,1,2,1,2,3,3,4,4,5,4,4,5,1,1,1,1,1,1,1,1,2,3,3,4,3,1,1,3,2,3,4,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,2,4,4,5,4,1,1,1,2,1,1,1,1,1,2,1,2,1,1,1,2,2,2,1,3,2,2,2,4,4,3,4,4,2,2,1,3,1,1,2,1,1,1,2,1,2,1,2,2,2,3,2,4,4,5,5,5,5,3,3,1,3,2,3,1,2,2,4,3,1,1,1,2,1,4,3,4,5,5,4,4,5,5,2,3,4,5,5,4,3,2,2,1,2,3,5,3,2,3,3,3,3,4,2,3,2,2,4,3,5,2,4,1,2,2,3,5,4,3,1,3,5,3,5,2,4,3,3,4,3,3,3,3,1,1,2,1,1,2,3,4,3,3,3,3,4,4,4,3,5,5,5,5,4,5,4,3,3,3,2,2,1,3,3,1,4,3,3,4,2,4,3,3,1,3,4,2,3,1,1,4,2,2,3,4,2,3,1,2,3,1,1,3,1,1,1,1,1,2,2,1,3,2,2,2,2,1,3,2,3,2,3,2,4,3,3,4,3,2,2,3,4,3,4,4,4,4,4,4,5,5,4,5,3,5,5,5,5,4,5,4,5,4,4,3,4,3,3,3,4,4,4,4,4,4,3,4,4,1,4,2,3,3,2,2,1,1,1,1,1,1,2,1,2,2,3,3,1,1,1,1,3,3,3,2,2,3,2,1,1,2,1,4,5,3,1,1,2,1,1,3,1,3,4,5,4,3,3,2,2,2,2,3,1,1,1,2,2,2,1,2,2,2,2,2,4,2,1,1,1,1,1,1,2,2,2,3,4,2,3,2,4,2,3,2,3,1,2,2,1,1,1,1,2,2,4,2,3,4,1,2,2,3,1,1,2,3,3,5,3,3,1,2,3,3,4,3,4,5,4,5,5,3,3,4,4,3,4,3,3,4,4,1,1,4,2,3,4,5,4,5,4,3,4,3,3,5,4,4,2,4,3,2,4,3,1,2,2,1,3,4,4,2,2,4,4,3,4,2,2,1,3,3,2,3,3,2,4,5,5,4,5,5,5,5,5,5,4,4,4,3,4,4,5,4,5,2,5,4,4,4,2,5,5,5,4,5,3,3,4,4,5,5,5,4,4,5,4,5,5,3,4,5,4,2,4,5,5,4,4,4,4,4,5,5,3,1,3,5,4,3,3,5,4,5,5,5,3,4,5,4,4,4,5,3,3,5,4,3,3,4,4,4,3,4,4,5,5,5,3,4,2,1,4,5,3,4,5,4,4,5,4,3,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,1,2,3,2,1,1,2,3,1,1,1,1,1,2,1,1,1,1,2,1,2,1,1,1,1,2,1,1,2,2,1,1,1,2,1,2,2,1,1,2,2,3,1,2,1,1,2,1,1,1,4,3,3,4,4,4,4,5,4,3,3,1,3,3,5,4,4,1,1,1,1,2,1,2,2,3,4,4,3,3,4,4,4,4,4,4,4,4,4,4,4,4,3,4,5,5,5,4,3,3,1,1,1,1,1,1,3,2,1,2,2,3,2,1,2,2,3,1,1,1,2,2,1,2,1,2,1,3,4,4,3,4,3,2,2,2,3,2,2,2,1,1,2,1,1,2,1,1,2,1,2,2,3,3,4,4,3,3,4,3,3,4,2,4,3,3,2,1,4,3,1,2,2,4,4,4,5,4,4,4,2,2,4,3,2,3,2,5,2,4,3,4,3,3,2,4,1,3,2,3,2,1,1,1,2,1,2,1,2,3,2,2,3,2,3,2,3,3,3,4,4,3,3,3,4,2,2,2,4,4,3,3,4,4,4,4,3,2,3,4,4,4,4,5,3,3,5,2,3,3,2,3,2,3,2,3,4,3,4,2,2,3,2,3,3,3,3,4,3,1,3,2,2,2,4,1,1,3,3,2,3,1,1,2,2,4,2,2,3,2,2,4,5,4,4,3,5,4,3,1,2,3,4,3,4,4,3,4,5,2,2,3,1,3,5,4,4,4,4,4,4,2,3,3,5,5,4,3,5,4,5,4,4,5,4,4,5,5,3,3,3,2,5,4,3,4,4,4,4,4,5,3,3,3,4,5,4,5,3,3,3,3,2,4,2,3,3,3,2,1,1,3,3,4,4,4,4,3,2,3,2,2,1,1,1,1,1,1,1,1,3,2,1,1,1,1,1,1,1,1,4,5,3,5,4,4,5,2,3,3,5,3,4,3,3,2,2,2,2,4,3,2,2,3,4,3,3,2,2,2,3,3,4,1,2,1,1,3,1,3,3,4,3,3,3,3,2,2,2,3,3,1,1,2,3,3,2,2,3,1,3,1,1,1,1,1,2,1,1,2,2,2,1,4,2,2,4,4,1,3,3,2,3,2,1,1,2,1,1,3,2,2,1,1,3,3,2,4,4,3,1,2,3,4,1,2,2,1,2,2,2,1,2,2,1,2,1,2,3,1,2,1,1,2,1,1,1,2,1,1,1,1,1,1,2,1,1,1,1,2,1,3,4,5,5,5,5,5,4,5,5,5,5,5,5,5,5,5,5,3,5,2,2,3,1,3,3,4,3,4,3,3,4,4,2,4,3,4,1,1,1,2,1,1,1,1,1,1,3,2,2,4,2,2,1,2,3,2,2,2,3,3,2,3,3,4,2,3,3,2,3,3,2,3,3,4,3,2,3,3,3,2,3,4,3,2,2,3,1,3,4,2,2,4,4,3,1,1,3,5,4,4,3,2,3,5,4,1,2,1,3,3,3,2,3,4,3,2,5,5,5,3,4,4,2,3,1,3,2,4,4,4,4,5,4,4,4,5,3,3,3,4,5,4,3,4,2,4,4,2,4,4,5,5,3,5,3,4,3,4,4,4,5,5,4,4,3,3,4,2,4,3,4,4,3,3,4,3,3,3,4,4,3,3,1,1,3,2,3,4,3,3,5,4,4,4,2,3,3,1,2,3,2,2,2,2,1,3,1,3,5,5,4,4,4,5,3,2,5,5,3,3,1,1,2,4,2,3,5,5,5,5,5,4,5,4,4,5,5,4,5,5,4,3,5,3,3,3,3,4,4,4,3,2,5,5,4,3,3,3,4,3,2,4,3,4,2,3,5,2,3,3,2,2,3,3,3,4,4,4,2,4,3,4,4,4,3,2,1,2,2,2,2,2,5,1,3,3,1,2,3,5,3,5,2,1,2,1,1,1,2,2,2,1,1,1,1,2,4,3,2,2,3,2,1,3,3,3,2,3,3,1,1,1,3,3,1,2,1,1,1,1,1,1,1,1,3,1,1,1,2,3,3,3,2,3,2,2,2,3,3,4,5,2,1,3,3,3,3,4,4,4,2,3,2,2,2,4,3,3,2,3,2,3,4,3,2,4,4,4,3,2,2,2,3,3,3,2,4,3,2,1,1,2,1,3,2,4,2,3,3,3,3,2,2,2,2,2,2,2,2,2,3,2,2,2,3,2,2,2,2,3,4,1,3,1,1,1,1,2,1,2,3,4,5,4,3,2,1,1,3,1,2,2,1,1,2,1,1,2,3,3,2,1,1,2,2,2,3,1,1,1,1,1,1,2,3,2,1,4,2,3,3,3,3,2,1,2,3,3,2,2,3,2,3,3,3,3,4,3,3,2,3,1,2,2,2,1,2,3,4,3,2,2,1,1,1,2,2,2,1,2,1,1,2,1,1,1,2,1,1,1,1,1,3,1,4,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,2,5,3,5,4,1,2,3,1,3,3,4,1,1,1,3,1,2,1,1,2,2,3,1,1,2,2,1,4,3,5,4,2,2,3,2,2,1,2,3,1,4,2,2,1,1,1,2,1,1,2,1,1,1,1,4,3,3,2,3,4,4,1,2,3,1,2,1,2,3,2,2,2,2,2,1,2,2,3,1,2,3,2,2,3,4,3,4,4,4,5,5,3,3,2,3,1,1,1,3,1,2,1,1,1,1,1,1,1,2,1,1,5,4,1,1,3,1,2,1,1,1,1,2,3,3,4,1,1,2,2,2,3,2,1,1,1,2,3,1,2,1,1,4,3,4,3,2,3,2,3,1,3,5,5,4,4,5,4,5,5,5,3,1,1,4,1,1,2,2,2,3,2,2,1,1,2,4,3,4,2,5,5,1,3,4,3,4,5,4,4,5,4,4,2,3,4,5,5,5,5,4,3,1,3,1,2,1,3,4,3,2,4,4,4,1,1,2,3,4,2,3,2,1,1,2,3,2,3,1,2,4,3,1,1,1,1,1,1,1,1,1,2,1,2,1,3,1,2,1,1,2,1,2,1,1,2,1,1,1,1,1,1,1,1,1,2,1,1,1,2,2,1,1,1,2,2,2,1,2,2,2,1,1,1,4,4,3,3,4,5,4,4,5,5,5,5,4,3,4,3,3,3,3,5,5,5,5,5,5,5,5,3,5,5,5,5,5,5,5,5,4,5,5,5,5,5,5,5,5,5,5,5,5,4,5,5,5,5,2,3,2,4,4,5,4,1,1,2,1,5,3,3,4,5,4,4,2,2,3,2,1,2,1,1,1,2,2,2,3,3,4,5,1,3,2,1,4,4,4,4,4,4,5,5,5,3,3,2,2,1,1,3,5,3,2,2,3,2,3,3,2,2,4,3,1,2,1,2,1,3,1,1,1,1,2,1,1,2,2,1,1,1,2,5,5,4,3,3,4,3,4,5,4,5,5,5,3,3,3,3,3,2,2,2,1,2,1,3,3,4,4,2,3,4,5,4,4,5,4,4,4,1,4,4,2,3,3,2,2,2,1,2,1,2,1,2,3,3,2,3,3,3,3,2,1,1,1,2,1,2,5,5,5,5,2,1,3,4,3,4,5,5,5,1,5,5,5,5,5,5,5,5,4,4,2,2,2,3,2,3,5,2,2,5,5,2,2,4,3,2,4,3,4,4,4,5,4,5,5,3,4,3,2,4,5,4,3,2,1,1,2,1,1,1,1,4,1,3,2,1,1,1,1,2,2,3,2,5,4,5,3,5,4,5,5,5,4,4,1,1,1,1,1,1,1,1,2,1,1,1,1,2,1,2,1,1,2,1,1,2,2,1,1,3,2,1,1,1,1,2,2,1,3,1,1,2,2,2,2,2,1,1,1,1,1,1,2,1,1,1,3,1,2,1,1,2,1,1,2,1,1,2,1,1,2,3,4,2,2,1,1,1,1,1,1,1,4,2,3,2,1,1,1,2,2,1,1,1,2,2,2,3,2,1,2,1,4,4,2,3,3,3,1,4,3,4,3,4,2,1,1,2,1,1,2,2,3,3,3,3,5,3,3,4,4,4,2,2,1,1,2,1,1,1,1,1,2,2,2,1,2,3,3,2,3,3,4,5,3,5,5,5,4,5,4,5,5,4,4,4,2,3,5,5,5,2,3,4,3,3,1,1,3,4,2,1,2,2,3,1,3,2,2,2,1,5,4,2,4,3,5,5,4,4,4,4,5,5,5,5,5,5,4,5,5,5,4,4,4,4,5,5,5,5,5,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,2,2,2,2,2,5,5,4,5,2,1,3,2,5,5,4,3,5,5,5,2,2,2,1,1,1,1,1,1,3,5,3,4,1,1,1,1,1,1,1,1,1,1,3,4,4,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,5,3,5,5,5,5,4,5,4,2,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,4,3,4,5,4,2,2,4,4,4,4,5,5,5,4,4,5,5,3,3,2,3,2,1,2,1,1,1,1,2,2,1,1,1,1,1,1,3,1,1,1,2,1,1,4,5,4,4,4,5,5,5,5,1,2,4,5,5,5,5,5,5,5,5,5,5,4,5,5,4,5,4,5,5,5,5,5,5,5,5,5,5,1,1,1,1,2,2,2,1,2,3,4,4,5,5,3,4,2,1,2,2,2,1,1,1,4,2,2,1,2,2,2,2,4,3,3,2,1,1,1,3,2,1,4,3,1,1,2,4,1,3,4,5,4,3,4,3,4,1,5,5,5,3,4,4,3,4,2,3,2,5,5,4,4,2,2,3,2,2,2,1,5,5,2,4,2,1,1,2,1,1,2,2,5,4,4,4,5,4,2,3,2,1,2,2,2,2,2,1,2,2,4,2,4,5,4,4,3,3,3,3,3,3,2,4,2,2,2,1,4,4,2,3,4,3,4,5,4,5,4,5,5,2,5,5,4,4,5,2,4,3,2,3,4,4,4,4,3,3,3,3,3,4,4,3,3,2,1,2,3,3,3,4,4,3,5,3,4,3,3,2,1,2,1,3,3,1,3,1,1,1,2,2,4,3,1,2,3,4,3,4,4,4,3,5,1,1,1,1,1,2,2,3,3,4,5,4,2,3,2,1,2,1,2,3,3,2,3,3,3,3,2,2,2,4,4,3,2,1,4,3,3,3,3,1,3,2,3,2,3,2,2,2,4,2,1,1,2,1,1,1,2,4,2,3,2,3,5,4,3,2,2,4,2,1,4,4,3,3,2,2,2,3,2,4,4,2,2,2,2,1,2,1,1,1,1,1,1,2,1,3,4,3,2,2,4,3,2,2,1,1,1,1,2,3,1,1,2,3,2,1,1,1,2,1,4,1,2,4,5,1,1,2,1,1,2,1,1,2,2,2,2,2,1,2,1,1,2,2,2,3,2,4,3,4,3,1,1,2,3,3,1,1,1,1,2,1,1,3,1,2,3,3,3,3,2,2,3,1,2,1,2,3,1,2,1,1,1,1,2,2,2,3,2,2,2,1,1,1,1,1,2,1,2,1,2,1,1,2,3,2,1,3,5,3,1,2,4,3,3,3,3,2,2,2,2,2,3,2,2,2,1,2,1,2,3,4,3,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,3,3,5,4,4,3,2,2,1,1,1,1,1,2,1,1,1,2,1,1,1,1,2,3,4,2,1,2,2,2,1,3,2,2,2,5,5,5,5,5,5,2,3,2,3,5,4,4,4,4,4,2,2,2,2,2,2,3,3,3,3,3,4,2,4,3,2,3,1,1,3,3,2,2,3,3,3,3,1,2,2,4,2,2,3,2,2,1,1,2,1,1,2,2,1,3,2,2,3,1,3,2,3,3,1,1,1,1,1,1,1,1,1,1,4,1,1,1,1,1,3,2,2,2,2,1,4,2,2,1,1,1,1,1,1,1,1,1,1,2,1,2,1,1,2,1,1,1,1,2,2,1,1,1,3,3,2,3,1,1,4,3,1,1,4,2,3,3,2,1,2,1,2,2,1,2,2,1,1,2,2,1,1,2,2,1,1,1,2,3,2,3,2,1,3,2,1,1,2,1,1,2,2,1,1,2,2,1,1,1,2,1,1,1,2,1,1,1,1,3,1,2,1,1,2,1,2,2,2,3,3,1,1,2,2,2,3,2,3,2,3,1,1,1,2,1,1,2,1,2,2,2,4,2,2,1,2,4,3,4,2,1,2,1,1,1,1,3,1,3,1,1,1,1,2,3,3,4,3,2,2,1,2,3,2,1,2,1,1,1,2,5,3,3,2,3,1,2,2,2,3,3,1,1,4,3,3,5,3,3,4,3,3,1,3,3,1,1,1,3,3,1,1,1,1,2,2,2,2,1,1,3,2,1,3,1,2,3,1,1,1,3,2,3,4,3,2,3,2,2,3,1,3,1,3,3,3,3,2,2,2,1,2,3,1,1,3,2,1,2,3,1,1,2,1,1,2,2,1,3,2,1,1,1,1,3,3,4,4,4,3,1,2,1,1,3,1,1,1,1,3,2,2,4,2,3,3,3,3,2,2,2,1,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,4,2,4,4,5,5,5,4,4,2,4,4,4,3,4,3,4,3,3,3,3,4,4,4,4,3,4,4,4,5,5,5,5,5,5,5,5,3,4,4,5,5,4,3,3,4,4,5,5,4,4,5,4,4,5,5,4,4,4,3,4,3,3,1,4,3,1,2,1,3,4,2,1,3,1,4,3,3,2,5,2,4,3,5,5,4,4,3,2,3,3,3,3,4,2,4,4,4,5,5,4,3,3,5,5,4,2,5,3,5,5,5,2,3,2,4,4,4,4,5,4,4,1,4,3,3,4,3,5,4,4,3,3,3,2,4,5,4,5,5,5,4,2,4,5,5,4,4,5,5,4,3,3,5,5,5,5,5,2,3,5,2,1,3,3,3,3,2,1,1,1,2,1,1,1,3,3,2,3,2,4,3,3,5,5,3,4,5,4,4,4,5,5,4,3,3,5,4,4,4,5,5,5,5,5,5,5,3,3,5,3,1,5,3,1,4,3,3,3,3,3,3,4,3,3,2,3,3,4,4,2,4,4,2,3,4,3,3,3,2,3,5,2,3,3,4,2,3,4,4,3,3,2,3,2,2,2,1,3,4,2,5,5,4,3,4,3,5,5,5,5,5,5,3,5,3,2,1,4,2,2,4,3,2,3,3,2,4,5,5,5,4,2,3,3,3,4,4,4,3,5,4,5,4,5,4,5,4,3,5,5,4,4,5,4,4,2,5,5,3,2,4,4,5,4,3,3,1,2,3,5,4,3,3,2,3,2,2,2,5,3,2,5,3,3,2,1,1,4,4,2,3,2,3,3,4,3,4,4,3,1,3,3,3,2,2,2,2,3,4,3,4,4,3,4,4,3,3,2,4,1,2,4,3,1,1,3,3,4,2,2,2,2,2,1,1,1,2,3,3,3,2,3,2,4,3,4,3,3,4,2,1,1,1,2,3,3,3,2,3,2,3,4,4,4,3,4,2,2,3,3,2,1,2,2,2,3,1,2,2,3,3,3,3,3,2,1,2,2,3,2,3,4,2,3,3,3,4,4,3,2,2,2,2,3,4,4,3,3,3,3,4,2,4,4,1,4,4,5,2,2,3,3,4,4,5,4,4,3,4,5,4,4,3,3,4,3,1,2,2,3,1,2,4,3,2,3,3,4,3,2,3,1,2,2,3,2,4,3,3,4,4,3,4,3,2,2,2,3,2,3,3,3,3,2,2,2,4,4,3,3,3,4,4,3,5,3,1,3,4,3,3,4,4,4,3,2,2,3,2,2,1,1,3,1,1,2,3,3,4,4,3,3,4,4,4,1,2,1,1,3,1,3,4,2,2,2,3,4,3,4,4,1,3,3,3,3,3,3,3,3,3,2,2,3,4,4,2,3,4,2,3,4,4,2,2,1,2,2,1,1,3,2,3,1,4,3,5,3,5,5,5,5,5,5,5,2,2,2,3,3,3,4,4,1,2,1,2,1,4,4,5,4,3,5,4,4,4,1,4,3,3,2,2,4,1,2,1,4,4,3,2,4,3,3,2,3,5,5,5,3,3,1,5,4,3,4,3,1,2,4,3,1,4,3,2,2,1,1,2,2,2,2,3,1,2,3,2,2,4,4,3,3,1,2,2,4,3,2,2,2,2,2,3,3,2,4,2,2,4,2,1,3,2,4,2,3,3,4,4,2,2,2,5,1,1,2,4,4,3,4,3,2,4,4,5,4,4,4,5,4,5,4,5,5,5,5,4,5,5,5,5,4,4,4,5,5,3,4,5,5,5,5,5,4,5,4,5,5,5,5,5,5,5,5,5,4,4,5,4,5,5,5,5,3,5,5,5,5,5,5,5,5,5,5,5,5,4,5,4,5,5,4,5,5,5,2,3,2,4,5,5,5,4,4,5,4,5,5,2,5,5,5,4,4,4,5,4,4,4,4,4,4,3,4,3,5,5,5,4,3,5,2,2,2,1,3,3,2,2,1,3,2,3,3,3,3,3,4,3,2,3,2,1,2,2,3,2,4,3,3,2,2,3,3,3,3,3,3,4,2,2,3,3,3,3,3,4,3,3,3,3,3,2,1,2,2,2,2,2,1,1,1,1,2,1,1,1,1,2,2,1,2,1,1,3,2,1,2,3,3,3,3,3,4,5,5,2,2,3,2,1,2,2,2,3,3,4,3,5,5,2,4,2,1,2,1,1,2,1,1,1,2,2,1,1,1,1,5,5,5,4,2,2,1,1,2,4,4,4,4,3,3,4,4,4,4,3,2,1,4,3,3,4,5,4,3,4,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,1,1,1,4,1,2,2,4,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,2,3,2,1,2,2,1,5,4,4,4,4,2,2,2,1,2,1,2,1,1,1,1,1,1,1,1,2,1,1,1,1,2,3,1,1,3,4,2,1,1,1,1,2,2,2,3,4,2,3,4,4,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1,1,1,3,4,2,1,2,2,2,2,4,4,3,2,2,2,1,2,1,1,1,2,1,2,1,1,1,3,1,2,2,2,1,3,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,3,3,2,2,1,2,2,1,1,1,2,2,3,2,3,2,2,2,1,2,2,2,2,2,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,2,2,2,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,3,5,5,5,5,3,1,1,1,1,2,1,1,1,4,5,5,4,1,4,4,4,1,1,3,3,2,4,4,4,4,3,4,3,4,3,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,3,5,5,5,5,5,5,4,5,5,5,5,4,5,5,5,4,4,3,4,4,3,3,5,5,4,3,5,5,5,5,5,5,5,5,5,5,5,5,4,5,5,5,5,5,5,5,5,5,4,4,2,5,4,4,3,2,5,5,5,4,5,5,5,5,5,5,4,4,5,5,3,3,4,3,5,4,4,3,2,4,3,5,5,2,4,2,2,4,5,5,5,5,5,5,4,4,5,4,5,4,5,5,5,4,5,5,4,5,4,5,5,5,4,5,5,5,3,3,4,3,3,5,5,3,4,4,5,5,4,5,4,5,5,5,5,5,5,5,5,5,3,3,4,3,5,5,2,5,4,5,4,3,4,5,5,2,4,4,3,5,4,3,3,5,4,3,4,4,5,4,3,4,4,4,5,4,5,4,5,5,5,5,2,3,2,4,3,3,4,5,5,4,2,3,4,5,4,3,3,2,3,3,2,4,2,4,3,2,4,4,4,2,2,2,3,5,5,5,5,5,5,5,4,4,4,4,5,5,5,4,5,1,1,1,1,2,1,1,1,1,1,1,2,1,2,1,3,2,3,3,1,2,2,2,3,3,3,3,5,4,5,3,4,3,3,2,2,2,1,1,3,3,2,2,2,1,1,1,2,1,1,2,1,3,4,4,2,4,4,4,4,4,4,5,5,2,3,4,4,4,5,5,5,5,5,5,5,4,4,5,3,2,1,4,2,2,2,1,4,3,2,2,3,3,3,3,3,1,1,1,2,1,3,4,4,4,3,4,3,3,3,2,2,3,4,3,3,3,4,3,2,2,2,3,3,3,2,3,3,2,1,3,1,4,4,3,2,4,3,5,3,4,3,5,5,5,5,3,4,4,5,5,4,4,5,5,4,4,5,5,5,4,5,4,1,1,4,4,4,4,4,3,3,2,1,1,3,3,3,4,4,4,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,2,2,2,2,3,2,2,4,2,1,1,2,2,4,4,3,2,4,3,1,1,1,2,3,1,1,2,1,3,1,5,2,3,3,3,4,3,3,1,3,2,2,1,1,2,1,2,2,4,4,5,2,2,1,1,2,1,3,3,5,5,3,4,5,4,4,5,3,5,4,4,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,4,3,2,2,2,2,3,2,4,2,3,1,3,1,1,2,2,2,2,1,1,1,1,1,5,2,1,4,5,1,1,2,1,1,1,1,1,1,1,1,1,4,1,1,3,3,4,2,1,4,3,3,4,2,3,4,5,3,3,4,2,4,1,1,2,4,2,4,4,3,4,4,3,1,3,4,4,3,3,2,4,3,3,3,3,3,4,4,2,5,5,3,4,5,2,3,5,4,1,3,4,3,2,3,3,4,4,5,4,4,4,4,5,3,4,5,5,4,5,5,4,5,4,4,4,5,4,5,5,5,3,4,5,4,5,5,4,5,5,5,5,5,5,5,4,5,5,3,3,3,3,4,4,5,5,3,5,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,4,5,5,5,5,5,5,5,5,3,3,4,5,5,4,4,5,5,5,5,5,5,5,4,5,4,5,4,4,4,5,4,4,4,4,5,4,5,4,4,4,4,4,5,5,5,5,4,4,4,3,5,5,5,4,4,4,4,5,5,5,5,2,5,4,5,5,4,4,5,5,4,5,4,4,5,5,5,5,4,5,5,5,5,5,5,5,5,5,4,4,3,4,5,5,5,5,4,5,5,5,4,4,4,4,4,4,4,4,4,5,5,4,5,5,5,5,5,5,5,1,4,3,3,3,3,2,2,3,3,4,3,5,4,3,4,4,3,2,2,2,2,2,1,1,2,2,2,3,3,3,3,2,3,2,2,2,1,2,2,1,1,2,2,3,4,2,3,2,3,2,1,2,3,3,2,2,2,3,1,2,1,3,4,4,3,3,2,4,3,3,4,3,4,3,3,3,4,2,3,3,4,3,1,2,3,4,3,4,5,4,5,4,3,3,2,1,2,4,2,4,3,3,4,2,2,3,4,3,2,3,2,2,3,2,1,2,1,4,1,1,2,4,1,4,2,4,3,3,4,1,2,4,3,3,1,1,1,3,4,4,4,4,3,4,4,5,5,3,3,3,4,2,1,4,5,4,4,3,2,1,2,4,4,5,5,4,4,2,2,3,3,2,2,2,1,2,4,3,5,5,4,3,3,4,4,5,5,5,4,4,4,5,5,4,5,4,5,5,4,5,5,5,5,2,1,1,3,2,4,3,2,3,2,3,2,1,2,2,2,1,3,4,2,1,1,2,2,2,5,5,5,2,1,5,2,3,3,3,3,4,4,4,2,4,3,3,2,1,3,3,3,1,1,1,1,3,2,2,2,3,1,2,2,3,5,5,4,4,4,5,4,3,4,4,4,4,2,2,2,2,2,1,1,1,1,4,3,4,2,3,3,4,3,1,1,1,3,1,3,3,4,2,2,5,4,4,2,3,3,4,5,4,5,4,4,4,4,4,4,5,5,5,3,4,2,2,2,4,2,2,4,5,3,4,3,4,4,5,4,3,5,5,5,5,4,3,2,1,3,2,2,2,1,1,1,1,2,1,2,2,1,1,1,1,1,1,1,1,2,5,5,5,5,5,5,5,5,5,5,4,5,5,4,3,5,5,4,5,4,4,3,5,3,5,5,5,5,5,5,5,5,5,5,5,5,5,5,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,4,5,4,4,5,5,5,5,5,5,1,5,4,3,3,2,2,3,4,2,3,2,3,1,2,3,3,4,3,2,3,3,4,3,2,3,4,3,2,1,4,1,3,2,2,3,3,4,1,3,3,3,3,3,3,3,3,3,1,2,1,4,3,3,4,4,3,3,3,3,2,4,2,3,4,2,1,2,4,2,3,2,3,4,3,2,2,4,2,3,4,4,4,3,4,4,3,5,4,4,4,4,3,4,4,2,3,3,3,3,5,5,5,5,5,4,4,3,4,5,4,5,4,4,5,5,5,4,4,4,4,4,5,4,3,4,5,1,3,3,4,3,5,5,5,5,5,5,4,4,3,3,2,4,3,2,1,1,2,5,3,5,5,5,5,5,5,5,4,4,4,4,4,2,4,1,1,1,1,1,1,1,2,2,3,3,4,2,2,4,1,1,1,1,3,4,4,3,4,4,4,3,4,5,4,1,3,4,1,3,3,3,4,3,4,3,3,3,2,2,3,3,2,1,1,1,1,3,2,1,3,4,2,2,2,2,2,1,2,1,4,4,3,4,2,3,2,1,1,2,1,1,1,3,4,4,4,5,4,4,4,5,4,5,5,2,1,4,2,4,4,4,4,5,5,5,4,5,5,5,4,1,2,3,3,2,3,3,2,4,4,3,1,1,1,4,3,4,3,3,3,3,2,2,3,3,4,2,2,1,4,3,3,4,2,3,4,5,5,4,5,5,4,2,2,3,4,2,1,3,1,3,4,2,1,2,4,1,4,3,3,3,3,4,2,4,3,3,4,3,3,3,3,3,2,4,1,1,1,1,1,1,1,1,1,1,1,2,4,1,2,4,2,1,3,1,2,3,3,4,4,4,3,5,5,5,4,4,5,4,5,4,5,1,3,2,1,3,3,4,2,4,5,1,3,1,2,2,3,3,5,5,3,4,2,3,2,2,3,1,3,1,1,4,4,2,2,2,4,3,3,3,1,3,4,1,3,2,3,4,2,2,2,1,1,3,3,1,3,4,2,2,4,3,2,4,2,4,3,1,1,1,3,3,5,4,3,2,1,1,1,4,5,3,4,3,3,1,1,1,1,1,1,1,1,1,2,2,2,1,1,4,1,1,2,2,1,1,1,1,1,1,1,1,1,1,3,4,4,4,2,2,4,4,3,3,3,3,5,2,4,4,2,3,5,4,5,5,4,3,4,3,4,4,4,3,4,1,1,2,1,3,3,1,1,1,2,3,1,3,1,2,2,4,2,2,1,1,1,1,4,3,4,3,3,1,1,1,1,1,1,1,5,4,3,1,1,2,1,3,2,2,4,4,5,5,5,5,4,4,4,5,5,5,5,5,2,3,5,5,4,1,2,4,2,3,4,3,3,4,4,2,3,4,4,3,4,4,4,4,1,1,2,2,2,1,1,2,3,3,2,3,3,4,2,2,3,2,4,5,5,3,4,5,4,5,5,5,5,2,4,4,4,4,4,5,4,3,3,3,2,3,1,1,1,1,1,1,3,2,2,2,4,3,2,4,4,2,2,2,4,3,3,2,3,1,3,4,3,3,4,3,4,3,3,3,4,4,4,4,3,2,2,3,1,3,2,3,2,4,4,4,4,4,4,3,3,3,2,3,3,2,3,2,1,2,4,4,3,3,3,4,3,2,2,2,3,1,5,5,4,5,4,3,3,5,5,5,5,5,5,5,5,5,5,5,5,4,4,5,4,4,3,4,4,5,4,4,5,4,2,3,3,5,3,3,1,4,2,2,4,5,5,5,4,5,5,4,5,5,4,5,4,4,5,4,5,5,1,1,1,1,3,3,3,2,2,3,1,1,1,1,1,1,1,1,2,1,3,2,2,1,2,2,2,3,4,3,4,3,4,5,3,4,5,5,3,5,4,4,2,2,5,5,4,4,5,5,5,5,5,5,3,4,5,5,4,1,1,3,2,2,3,3,3,2,3,3,4,4,4,3,3,4,4,3,4,1,2,4,4,4,1,2,3,2,3,3,2,1,3,4,2,2,2,2,3,2,2,4,4,3,3,2,4,4,3,5,4,4,4,4,4,2,1,1,1,1,1,1,3,2,2,1,2,1,1,2,1,1,1,1,1,1,1,1,3,1,1,1,1,3,2,1,1,1,1,4,3,1,2,1,4,3,4,4,5,4,3,3,4,5,4,4,4,2,4,4,4,3,4,4,4,5,3,4,5,4,4,2,3,4,2,3,2,3,3,3,1,1,2,2,2,1,1,2,1,1,1,1,1,1,2,1,2,2,1,1,1,1,3,3,2,3,1,1,2,2,3,2,1,3,3,1,1,3,5,4,5,5,4,5,5,5,4,4,3,4,1,4,4,4,4,4,4,5,3,4,4,3,5,5,3,3,3,4,4,3,1,3,3,4,1,1,2,2,3,5,4,4,5,5,5,5,5,3,3,4,3,1,1,2,4,5,3,4,4,2,2,5,5,3,3,4,3,4,3,3,2,3,3,2,3,4,4,4,3,3,5,5,5,5,4,3,3,3,3,3,3,3,3,5,3,4,3,3,3,1,3,1,1,2,4,3,3,2,1,2,2,3,2,2,2,4,4,2,2,3,4,4,4,5,4,4,4,3,3,3,2,4,3,2,3,5,3,4,4,3,4,4,4,2,2,4,1,2,2,1,3,3,2,3,1,2,3,4,5,5,5,5,2,4,2,3,3,4,3,3,2,4,3,4,3,2,4,2,2,2,4,3,1,1,1,1,2,3,1,4,4,3,2,1,1,1,1,1,1,2,1,4,4,4,4,5,4,4,3,3,1,4,5,3,4,5,4,5,4,3,2,4,3,4,2,2,4,3,3,4,4,4,3,3,4,4,2,4,2,3,2,2,4,4,1,4,3,4,1,1,1,2,1,1,2,4,1,3,2,1,2,2,1,3,2,1,1,4,2,1,3,4,1,5,5,5,3,4,4,5,5,4,4,3,3,3,3,4,4,2,4,3,4,2,4,3,4,3,3,5,4,3,4,1,3,1,1,1,3,1,1,1,1,4,4,3,3,2,2,4,4,3,4,3,3,2,1,2,3,2,5,3,3,4,4,5,5,5,5,5,5,4,5,5,2,2,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,4,4,5,5,4,5,4,3,3,4,4,5,5,4,2,3,3,3,4,3,5,5,5,4,5,5,4,5,3,5,4,5,4,3,5,4,4,4,4,4,3,2,3,3,3,3,1,1,1,3,1,2,3,3,1,1,1,2,2,2,3,1,3,2,1,2,2,2,4,4,4,5,4,4,5,3,3,3,4,2,3,4,4,4,2,4,1,2,3,3,3,3,3,3,2,3,3,3,3,3,4,3,3,4,2,2,3,2,3,3,3,3,1,2,2,3,3,2,2,2,3,4,3,4,2,3,2,4,4,5,5,4,4,5,5,4,4,3,2,4,4,2,3,2,4,4,1,1,2,3,4,4,2,4,3,3,3,4,2,3,4,4,3,1,3,4,3,5,4,3,4,3,3,3,3,3,2,2,3,3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,1,1,1,1,1,2,1,3,2,1,4,2,2,1,2,2,1,1,1,1,1,1,1,1,1,1,2,2,4,5,5,5,3,4,3,4,4,4,3,2,3,1,1,2,2,1,1,1,2,3,4,2,4,3,3,4,2,3,3,3,3,5,5,3,5,5,5,4,5,4,4,5,4,4,4,3,3,5,3,4,5,4,4,4,4,1,1,2,3,2,2,1,1,3,4,1,1,4,3,3,4,4,3,2,3,1,2,5,1,3,4,3,1,4,3,4,3,2,2,2,2,4,2,1,1,1,1,1,1,2,1,2,3,2,4,2,2,1,2,3,1,1,3,4,2,3,3,3,4,3,4,2,4,4,5,1,4,4,1,1,5,3,4,2,4,4,2,3,2,3,1,1,2,2,3,3,2,4,4,4,2,4,4,3,3,4,3,5,4,4,4,4,5,4,1,1,2,4,3,5,5,4,3,4,5,5,2,3,4,5,2,1,1,1,3,3,1,5,5,5,1,5,4,5,5,4,4,1,1,2,1,1,1,1,1,1,3,1,1,2,2,3,2,3,4,2,2,1,1,1,1,1,3,3,2,4,1,1,1,1,3,1,1,4,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,2,1,1,2,3,1,1,1,1,1,1,2,1,1,1,1,1,2,1,1,1,2,1,1,1,2,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,2,1,3,2,3,1,1,4,2,2,2,3,4,2,1,4,3,4,1,1,2,2,2,1,1,2,2,3,4,4,2,3,4,4,4,2,1,3,4,2,4,4,4,5,3,4,1,2,1,2,3,2,3,3,3,3,4,3,2,1,3,4,3,4,3,3,3,3,3,2,1,2,2,3,3,1,1,3,3,1,3,5,3,3,3,3,1,1,4,4,5,3,4,5,5,2,4,4,4,4,5,3,5,5,4,5,5,4,4,3,4,3,2,2,4,4,4,4,3,2,3,4,3,4,3,3,4,2,1,4,2,2,2,2,4,2,2,3,3,3,4,3,4,4,3,4,2,2,2,2,2,2,3,2,3,3,4,3,2,1,3,2,4,3,3,1,4,3,4,3,4,4,3,4,4,3,4,2,2,2,2,3,3,2,3,4,5,5,3,5,4,4,2,4,5,4,4,4,3,4,5,4,5,5,4,3,2,3,3,2,3,2,3,4,3,3,4,1,4,4,1,2,3,3,3,3,4,4,3,3,2,3,3,3,2,2,2,1,1,3,1,1,1,1,2,5,1,1,2,5,2,2,1,4,1,1,1,1,2,1,1,2,2,1,1,1,1,1,4,2,1,1,2,2,2,3,4,2,2,4,4,4,2,1,2,2,3,3,5,4,5,5,5,5,5,2,4,4,3,2,5,4,3,3,4,3,3,4,3,3,3,4,3,2,3,3,3,3,4,4,3,3,1,1,4,4,4,5,4,4,4,3,2,2,2,3,1,3,3,3,5,4,4,4,3,3,3,4,2,4,2,3,1,1,3,2,1,3,3,1,3,2,4,4,2,3,3,2,3,5,2,3,4,4,5,4,4,1,2,5,4,4,3,1,2,4,4,5,5,5,4,2,3,4,3,3,3,3,2,4,3,1,4,4,3,2,1,1,1,1,1,1,1,1,3,1,1,1,1,2,1,1,2,2,2,2,2,1,3,2,1,3,1,3,4,2,4,3,5,4,4,4,5,5,5,5,2,3,3,3,4,2,1,1,1,1,1,2,3,1,2,2,3,3,5,2,2,1,4,3,2,4,3,2,4,4,3,4,1,2,3,3,4,4,3,3,2,4,4,4,4,4,4,3,4,3,5,5,4,5,5,3,2,3,2,2,2,1,2,1,1,4,3,1,2,3,4,3,3,3,3,2,3,2,4,4,4,3,3,1,4,3,2,4,4,4,3,3,4,4,5,3,3,3,4,4,3,4,3,4,3,4,4,4,4,3,2,3,2,3,3,4,3,3,5,4,4,4,5,5,3,1,1,2,3,1,1,1,2,3,4,4,3,5,4,2,3,4,2,1,2,1,1,3,4,4,2,4,5,5,5,5,4,4,4,5,5,3,5,5,4,3,4,4,4,4,5,5,5,5,5,5,5,4,4,3,4,4,3,5,3,4,4,3,3,4,5,4,4,4,5,3,3,2,3,4,5,4,3,4,4,3,3,3,3,3,3,4,5,4,5,2,3,2,3,4,4,4,5,4,5,4,3,5,4,4,4,4,4,4,2,4,4,4,3,4,4,3,4,4,4,3,4,1,3,2,4,4,3,3,3,4,4,3,4,4,4,3,3,4,5,5,2,3,5,5,4,5,5,5,5,5,5,5,5,3,3,3,2,2,4,4,4,5,2,2,1,2,4,4,3,4,4,4,4,4,4,3,5,4,1,2,2,1,2,3,3,4,5,4,5,5,4,4,5,4,3,4,5,5,5,5,5,4,5,5,3,5,3,4,3,3,4,2,3,5,4,4,4,4,2,3,4,2,2,4,3,3,3,4,4,3,5,5,4,4,4,4,3,4,5,3,4,4,5,4,4,4,4,4,4,4,4,3,3,4,4,3,5,3,3,3,2,4,3,4,4,4,3,4,3,4,4,3,5,4,4,4,3,4,4,4,3,2,4,4,2,3,3,4,4,2,4,4,3,3,3,5,4,5,3,5,4,3,4,5,5,4,5,2,4,3,3,1,4,5,5,5,5,4,4,5,2,4,2,4,4,3,3,4,3,4,3,4,5,5,3,2,3,4,4,3,3,1,2,2,4,5,3,5,5,5,4,4,4,4,4,4,3,4,5,5,4,3,4,4,2,2,3,4,5,3,3,1,1,3,4,2,1,1,4,3,4,4,5,5,4,4,4,5,5,5,3,4,3,3,4,3,3,4,4,5,5,3,4,3,4,4,4,3,2,3,5,5,5,3,4,2,3,4,4,4,4,4,2,2,3,4,3,3,3,4,5,4,4,3,4,4,3,4,3,3,4,3,3,4,3,1,3,4,5,4,4,3,5,2,3,2,2,3,4,4,4,4,4,4,3,4,2,3,3,5,4,4,4,4,3,4,4,5,4,3,3,4,1,3,2,4,3,2,2,2,2,2,4,4,4,4,5,3,4,4,3,1,1,3,1,2,2,2,1,3,3,4,5,5,5,5,2,2,2,5,4,2,3,1,2,4,2,4,2,1,1,1,1,3,1,2,5,5,5,5,5,5,4,4,5,5,4,4,5,4,5,4,4,4,4,5,5,4,4,5,3,5,5,5,5,5,4,5,4,4,4,5,3,5,5,5,5,5,4,3,5,5,4,5,5,4,4,4,3,3,2,2,2,2,3,1,1,3,1,3,3,4,2,2,5,5,4,4,4,4,4,4,3,4,4,3,4,4,4,3,5,5,5,5,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4,3,3,4,3,3,1,1,3,2,3,1,1,3,3,2,2,2,1,2,1,1,3,3,3,3,1,1,1,1,2,3,1,1,1,5,5,4,5,3,3,5,4,4,4,4,5,4,3,2,3,3,2,3,2,1,3,3,3,2,4,2,2,4,1,1,3,3,3,3,3,1,2,2,2,2,2,3,3,3,2,2,2,2,4,1,1,2,3,3,1,3,3,2,4,1,1,2,2,2,2,3,4,3,3,2,3,2,2,3,3,3,4,1,2,2,1,1,1,2,1,2,2,1,1,1,2,1,1,1,2,1,3,1,1,2,2,3,1,1,1,1,2,1,1,1,4,4,1,4,1,2,3,1,4,1,1,1,1,1,1,1,1,4,1,1,1,1,1,1,2,1,1,2,1,1,2,4,1,1,1,2,1,2,1,1,1,1,4,2,1,1,1,4,1,1,1,1,1,1,1,2,2,3,2,5,1,1,1,1,1,4,3,1,1,1,1,1,1,1,3,1,4,2,1,4,1,1,4,1,1,2,3,4,5,5,5,5,1,1,3,2,1,1,1,1,1,1,5,1,4,2,3,3,5,2,1,1,3,5,3,1,1,4,5,4,2,4,2,2,4,4,5,4,3,4,5,5,5,5,5,5,4,4,5,3,3,4,5,4,4,3,3,1,1,5,5,3,2,3,1,1,2,1,1,3,1,4,3,5,2,1,1,1,1,1,1,1,1,3,3,5,3,4,3,3,2,1,1,1,3,2,4,4,4,3,4,3,2,2,1,1,1,1,1,1,1,2,4,3,2,1,1,2,2,1,1,2,2,3,3,4,1,4,1,2,2,1,2,3,2,1,1,1,1,4,3,3,1,2,1,1,1,1,1,3,2,3,2,1,2,1,1,2,1,1,2,2,2,1,1,1,1,1,2,1,2,2,2,2,3,2,1,4,2,4,2,2,1,3,2,2,1,2,1,3,2,3,4,4,1,4,2,2,3,3,4,4,1,1,2,2,4,1,1,1,2,4,2,3,4,2,1,2,1,1,2,1,1,2,1,1,2,1,2,2,1,2,1,2,1,1,1,1,2,3,2,3,3,3,2,3,1,3,2,3,2,3,1,2,1,2,2,2,1,3,2,1,1,1,2,1,1,1,2,2,4,3,3,4,5,5,4,1,4,5,3,3,3,3,1,3,2,4,3,4,2,3,2,1,3,3,3,2,2,1,3,2,3,4,5,4,4,5,5,4,2,1,1,1,1,2,1,2,1,2,2,1,1,1,1,2,2,3,2,2,1,1,1,2,2,2,3,2,2,3,2,1,1,2,1,3,1,2,1,1,2,4,1,4,2,2,1,1,2,2,3,2,1,3,4,1,1,3,2,2,2,1,2,2,2,1,2,2,3,2,2,2,1,2,1,1,2,1,1,2,2,1,1,1,1,2,1,1,2,1,4,1,1,1,2,2,2,1,3,3,5,2,2,1,3,2,3,2,1,1,1,1,3,2,3,1,3,4,4,1,1,1,1,2,3,3,3,2,3,3,4,3,4,4,3,2,4,4,4,2,1,3,3,4,3,2,3,4,2,3,3,1,3,2,4,2,3,2,2,3,3,3,2,4,3,1,1,1,2,3,3,3,4,5,5,4,4,3,4,3,4,3,4,5,5,4,3,2,2,2,3,4,4,5,4,5,5,5,5,5,5,5,5,5,5,5,5,3,4,5,4,2,4,4,5,4,5,3,3,2,2,4,5,4,4,4,5,5,5,4,3,4,1,3,3,4,3,3,2,4,2,2,2,4,2,3,3,5,4,3,4,3,4,3,3,3,2,1,1,2,3,3,5,4,2,4,3,4,4,4,5,3,3,4,2,3,3,3,2,4,3,4,2,1,4,4,4,4,2,5,2,2,3,3,4,3,3,3,4,3,3,3,4,3,3,2,1,1,2,3,3,3,2,1,3,2,2,3,2,2,2,3,4,4,2,1,4,1,5,5,2,5,4,4,3,4,2,2,3,4,3,5,4,4,3,2,4,3,1,3,3,3,3,2,2,1,2,2,2,2,2,1,2,4,3,4,1,1,3,2,2,1,3,1,2,3,5,5,4,4,3,2,3,3,2,1,2,2,2,2,3,2,2,3,2,3,1,2,3,3,4,3,3,4,3,3,2,2,1,2,2,2,1,1,2,2,2,1,2,3,2,5,3,3,4,3,2,4,4,4,1,3,3,4,4,4,2,2,4,4,5,5,5,5,3,3,2,1,3,3,4,5,4,4,4,5,4,5,5,4,5,2,2,3,2,1,2,1,1,1,2,4,2,4,4,3,3,5,3,2,4,3,3,3,5,4,5,5,4,5,5,5,5,5,5,5,4,2,4,5,3,5,3,4,4,3,2,3,4,3,4,4,4,4,5,2,3,4,3,3,3,4,2,2,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,5,4,3,4,5,4,5,3,4,3,2,3,5,5,5,5,5,2,2,2,3,4,4,5,4,2,3,4,3,2,2,5,4,4,4,5,3,3,5,5,4,4,4,4,4,5,3,2,3,2,2,5,5,4,4,4,3,4,4,3,2,3,2,2,2,3,2,3,2,2,2,4,4,4,4,3,4,3,2,2,3,3,4,2,5,5,5,4,3,5,5,5,4,3,3,2,4,3,4,4,2,5,5,5,5,5,5,5,5,5,5,5,5,5,5,3,5,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,4,5,4,5,5,5,5,3,4,5,5,3,3,2,3,3,2,3,3,2,2,2,2,1,1,1,2,2,1,1,3,1,1,4,4,4,4,3,4,4,3,4,4,5,2,4,3,3,2,3,2,3,2,2,2,2,2,1,1,3,3,3,4,2,2,2,3,2,4,4,3,2,3,3,4,3,1,3,3,5,5,3,5,5,5,5,5,5,1,5,5,5,4,5,5,5,4,4,2,2,3,3,4,4,3,4,4,4,4,2,4,3,2,4,5,4,5,5,4,4,4,4,4,4,2,3,4,3,4,4,3,4,2,3,2,2,3,1,3,4,1,3,3,4,4,5,5,5,5,5,4,5,5,5,5,4,5,5,5,3,3,4,4,4,3,5,5,5,4,4,5,4,4,3,5,5,5,5,5,3,4,1,4,3,3,3,5,4,4,2,5,3,3,3,3,4,4,3,3,2,2,2,2,2,3,4,4,4,3,3,3,4,4,3,2,1,3,3,3,1,2,4,3,3,4,3,4,3,2,2,3,1,1,1,3,4,3,4,4,3,1,2,3,3,3,5,4,2,4,5,4,4,4,2,4,4,5,4,5,4,3,5,4,5,5,5,5,5,5,5,5,5,5,5,5,4,5,5,5,5,5,4,5,5,5,4,4,3,3,4,4,4,5,2,4,3,3,5,3,2,3,3,3,3,3,5,5,5,3,5,5,5,4,4,3,1,4,4,2,3,3,4,4,5,4,2,3,2,1,2,5,5,5,5,5,5,5,5,5,5,5,5,5,4,5,4,5,3,5,5,5,5,5,5,4,2,4,3,2,4,5,2,5,5,5,4,5,5,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,4,3,5,3,5,5,4,5,5,4,4,4,4,5,5,5,5,4,4,4,5,5,4,5,4,4,3,2,3,1,3,2,5,5,4,4,4,5,5,5,5,4,5,4,3,4,5,4,4,5,5,5,5,5,5,5,5,4,5,5,2,4,4,4,2,4,4,3,4,2,3,2,3,2,2,3,3,4,3,4,4,4,3,4,3,3,5,5,5,5,5,2,3,3,3,5,4,4,3,3,5,5,5,5,5,5,5,4,3,4,5,5,5,5,4,5,5,5,5,5,4,3,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,4,3,4,3,4,4,2,2,3,4,3,4,5,2,2,2,2,5,2,5,5,4,2,2,2,5,5,3,4,5,5,4,4,3,5,5,5,5,5,5,5,4,2,5,4,4,4,2,2,3,3,3,2,4,4,3,3,3,3,3,3,4,4,5,3,3,3,5,3,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,3,3,3,3,2,2,5,3,4,2,3,2,4,3,3,4,4,5,4,4,5,4,4,3,3,4,5,4,3,3,4,5,3,4,4,4,4,4,2,3,2,2,4,4,4,2,4,4,4,4,2,3,4,4,3,2,3,4,3,3,4,3,3,2,3,3,4,4,3,3,4,4,3,4,2,3,2,3,2,2,1,2,3,3,2,1,1,1,1,2,1,1,1,2,2,1,1,1,2,1,2,2,2,1,1,1,2,1,1,1,1,2,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,2,2,2,1,2,1,1,2,1,3,2,2,5,2,4,5,3,4,2,1,2,3,3,2,2,3,3,3,2,2,2,2,2,2,1,1,2,2,2,4,1,2,2,3,1,1,2,2,1,1,2,1,1,1,2,3,2,3,1,1,1,2,2,2,3,3,4,2,1,2,2,4,3,2,3,1,1,3,4,2,3,3,3,3,3,4,4,4,4,2,2,3,3,3,4,4,4,3,5,5,5,3,4,3,4,4,2,5,5,5,4,2,4,4,2,2,3,4,4,1,2,1,2,2,1,1,4,4,2,2,4,3,4,3,4,4,4,3,2,1,1,1,1,3,1,1,1,2,3,2,4,4,3,2,3,3,3,2,4,2,3,3,4,4,3,4,4,1,2,1,2,2,2,3,1,4,4,4,2,3,3,4,3,3,3,3,4,4,4,5,5,5,4,4,3,5,4,1,4,2,4,4,5,5,5,3,3,3,4,1,3,2,2,1,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,3,2,4,3,1,1,1,1,2,1,1,1,1,4,4,3,3,2,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,2,5,5,5,5,5,5,1,1,1,1,1,1,2,1,1,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1,1,2,1,1,1,1,4,2,5,2,2,3,3,3,2,3,3,2,2,1,1,4,2,1,2,3,1,2,2,1,1,1,2,5,5,5,5,5,4,1,1,1,1,2,3,3,3,1,2,1,1,1,1,1,2,1,2,1,1,3,3,4,4,4,4,4,4,4,5,4,4,5,4,4,3,3,3,3,4,4,3,2,4,3,4,2,4,2,5,5,5,4,5,5,5,5,4,4,4,4,5,4,2,5,4,4,4,3,4,5,5,3,4,4,1,1,2,2,2,4,1,3,5,3,4,5,4,4,4,4,5,2,1,2,3,3,3,4,4,4,4,4,3,4,4,4,4,4,3,5,5,5,4,2,5,4,5,5,5,5,5,5,4,5,5,5,5,4,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4,5,2,1,1,3,3,3,2,2,1,1,2,3,1,1,1,1,2,1,1,2,2,2,4,4,4,2,1,2,1,1,1,2,4,1,1,1,1,3,3,3,2,3,1,1,2,2,2,2,5,4,5,5,5,4,5,3,2,2,1,5,5,5,5,4,3,2,4,2,2,3,3,5,4,3,5,5,5,5,5,4,4,4,4,5,5,4,5,5,5,5,5,5,5,4,3,5,4,3,5,5,5,4,3,5,5,4,4,4,3,4,5,5,4,4,3,3,2,3,5,3,4,3,4,5,4,3,3,4,1,5,5,4,4,4,4,2,4,4,3,3,4,4,4,4,3,4,5,4,4,5,5,4,3,4,1,3,3,3,4,4,3,3,4,4,4,4,5,5,3,4,5,5,5,4,4,4,2,2,2,1,1,1,1,2,4,4,2,2,4,3,2,3,3,3,2,4,5,5,4,5,5,5,2,3,3,3,1,3,2,2,3,3,3,1,1,3,2,4,2,2,2,3,3,2,4,4,3,4,2,1,3,2,3,5,5,5,5,5,5,5,3,2,5,4,4,5,5,5,5,5,5,5,4,4,4,4,5,4,4,5,4,4,5,2,4,4,3,3,3,1,3,5,2,2,3,3,2,3,3,5,5,5,5,5,5,4,4,4,4,4,4,3,4,4,4,4,1,4,5,4,2,5,3,5,4,5,5,4,4,3,5,3,3,3,3,3,4,3,4,4,4,3,4,5,4,5,4,4,3,4,2,5,4,5,4,2,3,4,5,5,5,5,4,5,5,5,4,5,5,5,5,5,4,5,4,5,4,5,4,3,5,4,4,3,5,4,5,5,5,5,5,5,5,5,5,5,5,5,4,5,4,5,4,5,4,3,4,4,3,5,3,4,4,3,4,3,5,5,4,5,5,4,4,4,4,4,4,4,4,5,5,5,5,4,4,4,3,4,4,4,1,1,1,1,1,1,1,1,2,3,2,1,3,1,1,3,2,1,1,1,2,1,3,1,1,1,1,1,1,1,1,1,3,1,1,2,1,2,1,1,2,2,1,2,1,2,3,2,2,1,1,1,2,2,1,2,2,2,1,1,2,1,2,1,1,1,1,1,1,2,1,1,2,1,1,1,1,2,3,3,3,3,3,3,3,3,2,1,1,2,2,2,5,3,3,2,5,5,5,5,5,4,4,4,3,5,4,5,5,4,3,1,2,1,1,2,3,1,1,1,4,3,2,3,3,1,1,1,2,2,2,2,1,1,1,1,1,1,2,2,1,2,2,2,1,2,3,2,2,1,1,3,3,2,2,1,2,2,2,4,1,1,1,1,1,1,2,1,3,3,4,2,2,3,1,2,2,2,1,3,3,4,3,4,3,2,2,3,3,1,1,1,2,4,4,1,1,2,1,1,1,1,1,1,1,1,2,5,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,2,1,2,1,1,4,2,4,3,1,3,1,3,4,4,4,3,4,1,1,1,1,3,3,3,2,3,2,1,1,1,1,1,1,1,1,1,1,1,2,3,2,3,2,3,4,3,2,4,2,3,4,4,4,3,4,2,2,3,2,1,1,1,1,2,2,1,1,3,4,2,2,1,1,3,1,1,1,1,1,1,2,3,2,2,3,2,1,1,1,4,3,1,3,1,2,3,3,4,1,3,4,2,4,3,4,4,4,4,4,2,3,2,1,1,1,1,1,1,1,2,2,2,3,2,3,3,4,2,4,3,1,3,1,2,2,1,1,1,1,1,3,2,4,4,4,2,2,4,2,4,3,2,2,4,2,2,1,2,2,1,1,1,3,1,1,1,1,1,2,1,1,2,4,2,2,2,2,2,4,2,1,1,1,1,2,1,5,5,3,2,4,3,5,5,5,5,5,5,5,3,5,1,1,1,2,2,2,1,1,1,1,1,2,2,2,2,1,1,1,4,2,3,1,2,2,2,1,1,2,2,1,3,3,1,2,1,2,1,4,2,2,2,1,1,1,1,2,2,1,2,3,4,2,3,1,1,2,3,2,2,1,2,2,2,2,1,3,1,1,2,2,1,2,2,1,1,2,1,1,1,3,2,2,3,2,3,2,3,1,3,1,1,1,1,4,4,4,3,5,4,5,5,5,4,3,4,3,4,1,2,2,4,3,3,4,3,3,3,3,3,5,1,1,2,1,1,2,2,1,2,1,2,1,1,2,3,2,1,2,2,1,1,1,1,1,1,1,2,1,1,1,1,3,1,2,1,2,2,1,3,3,1,3,3,1,1,2,3,2,2,3,3,1,1,1,2,1,1,1,2,2,1,2,3,2,3,2,1,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,3,1,1,1,1,2,2,1,2,2,1,1,2,1,1,1,1,1,2,4,3,2,4,3,2,1,5,4,3,4,3,4,1,4,4,2,2,2,3,2,3,2,1,2,2,2,3,3,2,3,2,2,2,2,1,2,2,1,2,3,2,2,3,2,3,5,3,1,3,3,2,5,5,5,5,3,4,2,2,3,4,4,4,5,4,5,4,4,4,1,1,4,4,2,1,2,2,4,3,2,1,1,1,2,3,3,2,3,5,4,1,2,4,4,2,1,3,3,2,3,1,1,2,1,2,1,2,2,2,3,2,2,4,4,4,3,4,3,3,2,2,4,2,2,2,2,2,4,5,4,3,4,3,4,2,1,2,4,5,3,1,4,1,3,3,1,1,2,4,3,4,3,4,5,4,5,5,4,3,2,4,2,4,4,3,3,3,3,2,1,2,3,3,3,3,4,5,3,4,4,4,4,4,3,4,5,4,3,3,3,2,3,5,3,3,3,3,3,3,4,4,4,3,5,4,2,4,4,3,5,5,3,3,5,5,5,5,5,5,4,3,4,4,3,2,5,5,5,4,5,4,4,3,5,5,2,3,3,3,3,3,1,2,4,3,4,4,3,5,3,3,3,4,1,4,1,3,3,3,3,1,2,2,1,2,2,2,1,1,2,3,2,1,3,2,2,1,2,1,2,2,1,2,1,2,1,1,2,1,2,1,4,3,5,4,4,4,3,3,3,3,5,3,2,2,2,1,4,3,3,3,2,3,3,3,1,1,3,1,1,1,1,1,2,3,4,2,3,3,2,2,3,1,1,1,2,2,3,3,5,3,3,4,2,1,1,1,1,5,5,4,4,5,5,5,5,5,3,4,4,4,2,4,4,5,4,3,3,4,3,5,4,4,2,2,3,2,3,2,3,2,3,3,2,2,3,3,2,2,2,2,2,1,3,3,3,3,3,3,2,2,2,2,3,3,2,3,3,2,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,2,4,4,3,1,1,1,1,1,1,1,1,1,1,1,2,4,3,4,2,5,4,4,1,1,1,1,1,1,1,5,5,5,5,5,1,1,1,1,5,5,4,3,1,1,1,3,5,4,3,3,4,1,3,2,2,3,1,1,2,2,2,2,1,2,1,1,1,2,2,2,3,3,3,3,2,3,2,3,3,2,2,2,4,2,2,1,1,1,1,2,2,2,2,1,1,4,3,2,3,5,5,5,4,5,2,4,4,5,5,4,5,5,5,3,4,5,4,3,5,3,5,5,4,5,5,5,3,3,4,4,3,4,3,4,4,5,5,2,5,5,5,3,3,3,1,1,1,1,5,3,1,1,1,1,1,1,1,1,1,3,1,1,1,2,5,1,2,4,5,2,4,3,5,5,5,5,4,4,4,1,4,3,3,3,2,3,1,3,1,3,3,4,3,4,2,2,2,3,2,4,4,5,4,4,2,4,3,4,4,4,3,4,4,3,3,3,5,3,3,3,3,4,4,5,3,3,3,3,4,4,3,2,4,3,3,3,4,1,1,2,2,3,3,3,2,3,1,4,2,3,3,2,3,2,2,2,3,2,2,2,2,2,2,2,3,2,4,2,3,2,3,2,2,3,3,2,4,4,2,3,3,2,3,2,2,3,2,3,1,3,1,3,3,3,1,2,2,1,2,3,3,3,3,2,2,2,3,1,3,2,4,4,3,3,1,3,1,2,3,2,3,3,3,3,1,1,1,2,1,4,4,2,1,3,2,3,2,2,2,2,2,2,1,3,1,2,1,1,1,2,1,2,3,2,3,4,3,3,3,3,2,2,2,3,3,3,3,3,1,2,2,4,3,4,4,1,2,2,1,1,1,2,2,3,4,4,2,4,3,3,2,3,2,1,2,2,1,2,3,3,3,2,1,3,3,4,3,4,3,1,4,2,2,2,4,2,4,4,5,5,4,5,5,4,5,4,5,5,4,5,4,4,3,2,2,3,3,1,2,3,2,2,2,3,2,2,3,1,3,3,4,3,3,1,3,2,2,3,2,2,3,2,2,2,2,1,2,3,5,3,4,3,3,3,3,4,4,3,5,3,3,4,4,4,3,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,4,2,5,4,5,5,4,5,4,4,5,5,5,4,4,5,4,5,5,5,4,4,5,5,5,5,5,3,5,4,5,5,4,1,1,1,2,2,4,3,2,3,1,2,1,2,3,4,1,2,1,1,1,1,1,1,1,1,1,1,1,3,2,2,2,4,3,4,3,3,3,4,4,3,2,2,3,3,3,3,3,3,4,3,3,1,2,2,1,1,1,1,1,1,1,1,1,1,1,2,1,3,2,4,4,4,2,1,2,1,1,1,1,1,1,1,2,3,3,2,3,2,3,4,4,4,5,5,5,5,5,4,5,5,5,5,5,5,5,5,5,5,3,2,4,2,2,3,5,5,5,5,5,5,5,2,4,3,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,4,5,4,4,5,5,5,5,5,5,5,4,5,5,5,5,5,5,5,4,3,4,4,2,2,1,4,5,4,4,4,5,5,5,3,3,4,3,4,5,5,5,5,5,4,5,5,5,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,1,5,5,5,2,3,2,3,3,2,3,4,2,2,2,2,2,3,2,3,2,1,2,3,1,3,2,1,3,3,2,3,2,3,2,1,2,2,4,2,2,3,3,4,2,2,3,2,2,3,2,2,4,3,2,2,3,3,1,1,1,2,2,3,2,1,4,2,2,2,3,4,3,1,1,1,2,2,2,2,1,1,3,3,2,3,4,2,2,2,3,2,1,2,1,2,4,3,2,1,1,3,4,2,3,3,4,4,3,4,4,4,3,4,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,3,4,3,5,4,5,2,1,1,1,1,1,1,2,4,4,1,1,2,2,4,3,1,1,2,2,3,1,1,1,1,1,2,2,3,1,1,2,1,3,2,1,1,1,4,1,1,1,4,2,1,1,3,3,4,4,2,1,2,1,1,2,3,1,1,3,4,4,3,3,4,3,4,3,4,2,2,1,2,2,4,4,3,2,4,3,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3,3,4,5,4,4,3,4,4,4,3,3,1,2,3,4,3,3,1,5,3,1,1,1,1,3,3,2,2,2,1,1,1,3,3,3,1,4,2,4,3,2,2,1,2,1,1,2,3,2,2,2,2,2,3,2,4,2,2,2,2,2,3,1,3,5,4,2,3,2,2,2,1,2,2,2,2,3,2,1,1,1,3,4,2,2,3,2,4,2,3,1,1,3,3,3,1,2,1,1,1,2,3,4,3,2,3,2,3,2,1,2,1,2,2,2,2,3,2,4,4,2,3,2,2,4,4,5,5,5,5,4,3,4,3,3,4,4,4,4,1,2,4,3,2,2,2,2,1,1,2,1,2,2,1,2,1,1,1,1,2,2,3,2,3,1,2,1,3,3,2,2,2,3,3,3,3,3,1,3,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,2,1,2,4,4,2,3,4,4,2,4,3,5,5,5,5,3,5,1,2,1,2,2,3,5,4,3,4,4,3,3,1,3,4,4,5,5,1,1,1,4,3,2,1,3,4,5,5,1,1,1,4,5,3,1,2,2,2,1,1,2,1,1,1,2,2,2,1,2,2,4,2,3,2,2,5,4,3,3,3,4,3,5,3,4,4,5,5,4,5,5,5,4,4,5,1,1,1,4,4,5,3,4,1,3,4,3,4,3,4,4,5,4,5,5,5,4,5,5,4,1,3,4,4,3,4,1,1,1,1,1,2,1,2,1,3,1,2,4,1,2,2,1,5,1,1,2,2,4,4,3,1,2,1,1,3,2,4,2,4,4,4,4,4,2,5,5,4,4,4,4,3,2,3,1,1,1,3,3,4,5,3,1,3,2,4,3,2,2,3,3,4,2,2,3,2,2,2,3,3,3,2,2,2,3,4,5,5,5,2,5,3,4,2,3,5,5,4,4,3,4,3,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,3,4,3,4,3,4,4,4,2,2,3,5,2,2,4,4,5,5,3,3,2,5,4,5,5,4,4,3,3,5,4,4,4,5,4,4,4,5,4,3,5,4,3,4,4,5,4,4,4,4,3,4,3,3,3,4,4,2,3,3,3,4,2,2,3,3,3,3,3,3,3,3,3,2,2,3,3,2,2,2,3,4,2,1,4,3,2,2,2,3,3,2,2,1,2,2,4,2,2,1,3,2,2,2,1,3,3,3,2,5,1,2,4,4,4,4,3,3,2,3,3,4,4,5,5,3,3,3,2,5,4,4,5,1,2,2,2,3,2,4,3,3,2,3,3,2,2,3,2,2,2,2,1,1,1,2,2,2,2,4,4,4,3,4,1,1,1,2,2,4,5,2,4,2,2,4,2,3,1,3,3,2,3,3,2,3,3,4,2,3,2,4,2,5,4,4,3,3,4,2,3,2,2,2,4,1,1,1,1,2,3,1,3,3,1,3,1,2,3,2,3,2,1,3,2,1,1,1,1,3,3,2,3,3,3,2,4,3,1,2,3,2,1,1,1,1,4,2,2,4,4,4,4,3,3,2,2,1,1,2,2,4,3,3,2,3,4,4,3,3,2,1,2,2,1,3,4,3,3,4,1,2,2,4,2,2,2,4,4,3,3,5,4,4,3,4,3,3,2,3,4,5,3,5,4,3,2,3,2,1,2,4,4,4,1,1,1,3,1,1,2,1,5,5,3,3,3,4,3,5,4,3,5,4,5,1,2,2,1,1,2,2,3,1,2,3,2,2,1,2,2,1,3,3,4,1,2,2,2,1,2,3,3,2,2,1,3,3,3,2,3,2,2,1,2,1,2,2,3,1,2,2,1,2,1,3,1,1,1,3,3,4,3,3,3,2,1,3,1,3,1,1,2,3,2,2,1,4,3,3,5,4,3,4,4,4,4,3,4,4,3,4,4,3,3,1,2,1,3,3,3,3,4,3,2,3,3,3,2,4,5,4,4,5,5,4,3,4,3,3,4,4,5,4,5,4,4,3,4,4,5,5,5,5,5,4,3,4,4,4,5,5,4,4,4,3,5,4,5,5,5,5,3,5,5,4,4,3,5,5,5,4,4,4,4,4,5,4,5,4,4,4,4,5,4,4,5,2,4,4,4,4,5,5,5,5,5,4,4,5,4,3,3,4,4,5,5,5,5,5,5,5,5,4,5,5,4,5,5,5,4,5,5,5,5,5,3,4,1,2,3,2,2,3,2,3,3,2,3,2,2,2,2,3,2,4,3,3,3,2,1,2,1,2,1,3,3,2,3,2,1,1,1,1,1,1,2,1,4,2,3,4,3,2,3,2,3,2,2,3,3,4,2,2,2,4,2,2,4,1,1,4,4,4,2,1,4,3,2,3,2,4,2,4,2,3,2,1,3,1,3,2,3,2,3,1,3,2,2,1,2,2,2,2,3,3,2,2,4,3,2,4,2,3,3,2,3,3,3,3,3,2,2,5,2,5,5,5,5,5,5,4,5,4,2,3,3,5,4,3,4,5,3,3,2,3,3,2,3,4,5,5,5,5,5,5,5,5,5,4,3,4,4,4,3,5,3,4,4,3,4,3,3,5,5,4,5,4,5,5,5,5,4,5,5,5,4,4,3,2,4,2,5,5,5,5,5,3,5,4,4,4,5,5,1,3,1,3,4,5,3,3,5,5,5,4,5,4,3,4,3,3,3,3,4,5,4,4,4,2,5,4,3,2,4,5,4,1,2,3,4,4,3,3,3,3,2,4,4,3,4,4,3,3,4,4,3,4,4,5,4,4,4,3,4,4,3,2,4,3,1,4,4,1,1,1,1,2,1,1,1,1,1,1,3,3,4,4,5,5,4,2,2,4,3,3,3,3,2,3,3,3,1,2,5,4,4,2,1,2,1,1,1,1,1,1,1,1,1,5,4,5,5,4,4,5,5,5,5,5,4,5,2,4,3,2,1,3,3,4,3,2,3,4,3,3,2,1,4,1,3,2,1,1,1,1,2,3,1,4,1,1,1,3,1,1,3,1,1,3,2,2,1,1,3,5,2,3,3,3,1,4,2,1,3,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,3,4,2,5,4,3,5,5,5,5,2,3,5,5,4,5,2,5,4,3,4,5,5,5,5,5,5,5,5,5,4,3,3,3,3,4,5,4,5,5,5,5,5,4,4,3,2,5,5,5,4,5,5,5,5,4,5,5,5,3,3,5,4,5,5,4,4,5,2,1,1,1,2,1,2,4,3,2,2,5,5,5,4,5,2,4,3,5,3,4,5,5,5,5,5,5,5,5,5,5,5,5,5,4,5,5,4,5,4,5,4,3,4,5,5,4,3,2,4,3,4,4,4,4,1,3,1,2,3,3,2,1,1,1,2,3,2,5,3,4,2,5,5,4,4,4,5,4,1,1,1,2,4,4,4,3,3,3,3,1,3,1,4,2,2,1,2,1,2,1,1,1,1,1,3,1,4,4,5,2,4,5,3,4,5,4,3,3,4,5,5,1,2,2,3,3,3,2,4,3,3,4,2,5,4,5,5,4,5,4,5,4,1,1,2,1,1,1,1,1,2,1,4,1,1,1,1,1,1,1,1,1,3,1,2,1,1,3,3,2,3,4,2,5,5,3,5,5,3,3,4,3,5,5,5,3,4,3,3,2,3,3,2,2,3,3,2,1,4,3,3,2,2,3,1,3,3,4,4,4,3,1,1,1,2,4,4,2,4,4,3,5,5,3,4,1,4,4,4,3,2,2,4,3,5,5,4,4,1,1,1,1,2,2,4,4,4,4,4,4,2,3,1,4,3,1,4,3,3,3,3,2,2,3,3,3,3,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,2,3,4,3,4,4,3,4,3,5,4,5,4,4,5,5,4,4,3,5,3,3,4,4,4,4,4,5,5,5,4,5,5,4,4,5,4,5,4,5,3,3,3,3,3,5,3,4,4,4,3,4,5,5,4,5,4,4,4,4,4,4,4,3,3,2,3,4,4,3,4,3,2,4,4,2,4,4,4,3,3,2,3,2,3,2,3,1,3,2,3,4,2,4,1,2,2,1,3,3,2,2,3,3,3,3,3,2,3,3,3,2,3,3,3,4,3,4,2,3,4,3,3,5,3,3,1,3,3,4,3,2,4,4,4,4,3,2,2,5,5,4,5,5,5,3,5,3,5,5,5,4,5,4,5,4,4,2,5,4,5,5,5,5,5,4,4,5,5,5,5,5,5,5,4,5,4,4,4,5,3,4,4,5,4,4,4,5,5,4,5,5,5,5,5,5,5,5,5,5,5,5,4,5,4,5,5,5,5,5,5,5,5,5,4,5,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,2,4,4,3,4,4,5,5,4,4,3,4,5,4,4,5,4,5,4,2,1,1,1,1,4,3,4,5,4,4,3,3,4,3,2,5,3,4,4,4,4,4,3,3,3,4,4,4,5,4,5,5,5,5,4,5,5,5,5,5,5,5,4,1,1,1,1,1,2,1,3,1,3,3,4,4,3,2,4,5,5,3,4,2,2,3,3,3,2,3,2,4,3,3,3,3,3,2,3,3,4,1,1,1,4,2,3,2,3,2,3,2,2,1,4,2,3,4,3,4,4,3,4,4,4,5,3,4,5,4,4,4,5,5,4,5,5,5,5,5,2,1,2,5,4,2,4,5,4,5,4,5,5,5,5,5,5,5,5,5,5,5,5,5,4,2,4,4,5,3,5,4,5,5,5,5,5,5,5,5,5,5,5,5,5,4,5,3,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,4,3,5,5,5,5,5,5,5,4,4,4,5,5,5,5,5,5,5,5,3,4,4,4,3,1,1,1,2,4,4,5,4,5,5,5,4,5,4,4,4,4,4,4,4,4,2,4,4,3,5,5,5,5,4,3,4,3,5,2,5,4,3,3,3,4,3,3,2,2,3,3,3,2,2,4,3,2,2,3,2,3,2,3,3,3,3,3,2,1,2,2,2,3,4,4,3,1,2,3,3,4,4,4,4,3,2,2,4,5,3,2,3,4,4,4,2,4,2,2,3,3,3,4,3,3,3,3,1,2,3,3,1,1,4,3,3,3,3,2,4,4,5,4,5,4,3,4,3,5,3,5,4,4,5,5,5,5,5,4,5,4,5,5,5,5,5,4,4,4,3,2,1,1,4,4,5,4,5,4,3,2,3,4,2,2,5,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,4,4,4,4,3,4,2,3,5,4,5,4,5,5,4,2,3,3,4,2,4,4,1,1,2,4,3,2,3,3,4,5,3,4,5,5,4,4,4,5,5,5,4,4,2,2,3,3,3,3,1,1,2,1,1,2,2,1,3,4,5,4,5,4,4,4,3,3,3,4,3,3,3,3,3,3,2,1,1,1,1,2,1,2,1,4,2,2,2,1,2,3,2,3,3,3,4,4,3,2,4,4,5,4,4,4,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3,3,3,2,3,2,1,2,1,2,2,3,2,1,2,2,2,2,2,3,2,1,2,2,2,1,2,4,5,4,4,2,2,2,2,1,1,1,1,1,2,2,2,3,3,3,3,3,3,2,2,4,2,2,3,3,2,1,2,1,1,1,1,2,3,2,3,2,2,2,1,1,1,2,1,2,2,2,1,2,2,1,1,1,2,3,4,4,1,1,1,1,1,1,1,4,1,2,4,5,2,1,2,2,3,5,3,2,2,4,4,3,3,5,3,4,4,3,4,5,4,2,1,1,3,3,2,2,1,4,3,3,1,1,2,2,4,3,3,3,4,3,3,2,4,3,4,4,3,3,5,5,5,4,4,5,4,5,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,2,2,2,3,1,4,3,3,3,3,2,3,3,3,3,3,4,3,2,1,1,2,1,1,1,1,1,1,1,1,1,2,4,2,2,3,2,2,3,1,1,1,1,1,1,1,1,1,2,1,2,2,1,1,2,2,3,2,1,2,2,2,1,1,2,1,1,1,1,1,1,1,1,1,2,1,2,1,1,2,1,2,1,1,2,2,3,2,2,2,2,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,2,1,4,2,3,3,3,4,4,2,2,3,4,4,4,3,4,4,4,3,4,5,3,3,1,2,2,1,1,2,1,2,2,2,3,2,1,2,2,3,2,2,1,3,4,2,3,1,1,3,4,2,2,3,2,2,1,4,3,2,4,4,3,3,3,4,5,4,4,3,5,1,4,4,4,4,3,4,2,2,4,2,4,4,5,4,3,2,2,4,4,5,4,4,4,3,5,5,5,5,5,5,5,5,5,1,2,4,2,2,2,2,2,2,1,5,1,4,1,1,2,2,4,4,4,3,4,1,4,5,2,3,2,4,5,4,4,5,5,4,5,5,5,5,5,5,5,5,5,5,5,4,5,5,5,1,2,3,2,4,1,2,3,1,3,2,4,2,1,1,3,2,1,3,1,1,1,1,1,1,4,3,2,2,4,2,3,2,2,1,3,2,5,4,5,4,4,5,5,5,5,4,5,3,3,3,2,2,2,3,3,3,2,2,3,1,2,3,3,2,3,3,3,3,2,3,1,3,4,3,3,4,5,4,2,2,3,3,2,1,2,2,3,5,4,2,2,2,1,1,1,1,2,3,2,2,3,2,3,2,2,2,3,3,2,2,2,4,4,4,4,5,4,5,5,5,5,5,5,1,4,3,4,2,3,2,1,1,3,3,2,3,1,1,2,3,2,3,3,2,4,3,3,3,1,2,4,2,2,2,4,2,2,2,2,1,3,2,2,3,1,3,2,4,3,2,2,2,2,2,3,2,1,2,3,2,1,2,3,1,1,1,1,1,1,3,3,3,1,1,1,2,2,2,2,1,3,3,2,1,2,2,2,3,2,2,3,2,4,2,2,2,2,1,4,4,2,2,2,2,1,3,2,2,1,1,1,1,1,1,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,2,1,1,3,3,3,2,1,4,4,2,2,2,2,2,2,2,3,2,2,3,4,2,2,2,2,4,3,2,1,3,1,2,2,1,1,1,2,2,2,3,2,2,3,2,2,2,1,3,4,3,4,4,5,5,4,5,4,5,4,3,5,3,4,5,5,5,5,5,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,4,3,4,2,2,3,2,1,3,4,3,3,4,4,5,4,4,4,5,5,5,4,5,5,5,5,5,5,5,5,5,5,5,3,4,4,4,5,5,4,4,4,3,4,5,4,4,3,5,4,4,5,4,4,5,5,5,5,5,5,5,4,5,5,4,5,5,5,4,5,5,4,4,4,5,5,5,5,5,5,4,5,3,5,4,4,3,2,5,3,3,5,4,1,4,3,5,4,4,2,2,2,4,5,3,5,3,3,2,2,3,4,3,3,2,3,4,2,4,3,3,2,4,3,3,2,3,4,2,4,4,5,4,5,3,5,4,5,2,3,2,2,2,3,4,2,1,2,3,3,2,3,2,1,3,1,2,1,1,2,1,2,2,3,2,2,4,2,3,2,3,3,1,2,2,1,3,2,5,5,5,5,2,4,2,2,4,2,4,4,5,4,4,2,2,5,3,4,5,3,3,1,3,2,1,2,1,1,2,2,5,3,3,4,1,1,2,1,1,1,1,2,1,1,1,1,1,1,1,2,2,2,4,2,4,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,1,1,4,3,1,2,5,4,5,5,5,5,5,2,2,3,3,1,5,1,1,1,1,1,3,1,5,2,3,2,4,5,5,3,4,4,5,4,4,5,4,3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,4,4,5,5,3,3,4,4,5,2,3,2,5,2,2,1,2,1,1,1,1,2,1,2,2,1,1,2,1,2,1,1,1,1,1,2,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,3,3,1,1,3,1,1,1,1,3,2,2,3,2,1,2,3,4,5,5,4,4,3,1,1,5,5,5,2,4,5,5,5,5,3,5,5,3,4,4,1,4,5,5,5,2,1,4,2,3,2,3,2,2,1,2,3,4,2,3,4,3,5,3,2,4,4,5,4,3,4,2,4,4,4,2,2,2,3,2,5,5,5,5,5,5,5,5,5,4,4,4,3,5,4,4,5,5,3,2,5,4,2,2,4,2,1,2,3,4,2,2,2,2,3,3,2,2,2,2,2,2,2,2,2,2,2,2,4,2,3,2,3,3,3,3,1,1,1,2,2,2,1,1,1,1,2,2,3,2,3,2,2,3,4,4,4,5,4,1,3,3,2,4,3,2,2,2,4,2,3,3,4,1,2,1,2,3,4,3,3,3,2,1,3,2,2,3,3,3,2,1,2,2,2,3,2,2,1,1,1,2,1,2,1,1,1,2,3,3,3,3,1,3,2,1,1,2,2,1,1,1,2,2,2,3,3,4,1,4,1,2,2,4,2,4,2,3,3,4,5,4,5,3,2,3,3,2,4,3,4,3,4,3,2,4,5,2,3,3,2,2,2,2,2,2,2,2,1,1,1,4,2,2,2,2,3,1,1,2,2,2,3,2,5,4,4,4,3,2,2,4,3,2,2,1,5,4,2,4,3,4,4,4,3,3,5,3,5,4,1,5,3,1,1,5,5,5,5,5,5,5,5,2,5,2,1,1,2,1,5,4,3,1,1,3,3,3,2,3,3,1,3,4,4,4,4,5,5,5,5,5,4,3,4,4,3,3,3,5,5,4,5,4,4,5,3,4,3,2,2,5,4,2,2,2,3,1,3,1,1,1,1,4,4,4,4,4,3,5,4,4,4,2,4,5,5,5,5,4,4,5,4,3,4,5,3,5,5,5,5,4,4,3,3,4,2,2,2,3,5,5,5,4,5,5,4,5,5,4,5,4,5,2,2,3,2,2,4,3,4,5,5,5,4,4,4,5,5,5,5,3,5,5,5,3,2,2,3,3,3,4,1,3,3,3,2,2,3,5,5,4,5,5,5,5,5,4,5,2,1,3,2,2,1,1,1,2,2,1,1,1,2,2,2,2,1,2,1,3,2,2,1,2,3,1,2,2,2,3,1,1,1,2,4,4,4,3,3,1,1,2,4,3,1,2,2,3,4,3,3,4,5,4,4,4,4,5,3,1,2,3,3,3,2,5,4,3,3,2,3,3,3,3,2,2,3,2,3,2,1,1,1,2,2,2,1,2,1,2,2,1,3,2,1,1,1,1,2,1,2,4,4,3,2,3,3,2,1,1,3,1,4,5,2,4,4,1,1,1,1,1,1,2,1,1,2,2,1,1,1,1,1,1,2,1,2,3,1,1,1,1,1,1,2,2,1,1,1,1,2,2,2,1,2,1,1,3,1,2,3,4,2,2,3,3,2,2,3,3,4,3,3,2,1,2,1,2,3,5,3,5,5,3,3,4,5,4,2,2,2,2,2,2,3,2,2,1,2,4,4,3,3,3,4,2,4,3,3,2,2,1,3,3,4,1,1,3,3,4,2,3,2,1,2,2,1,1,1,2,1,1,1,1,1,1,2,3,3,4,1,3,2,2,3,2,1,1,2,1,1,2,3,1,2,2,2,2,3,2,3,3,3,4,2,3,4,3,2,2,2,2,2,1,2,2,2,3,3,2,4,3,5,4,4,3,3,2,3,3,5,5,5,5,5,3,5,4,3,5,5,4,4,4,3,2,4,4,4,4,4,5,4,5,5,5,5,5,5,5,5,1,5,5,5,4,5,5,5,5,5,5,5,5,4,5,4,1,1,2,2,2,2,3,4,4,3,2,4,2,2,2,4,2,2,1,2,2,2,1,1,2,3,2,4,5,4,5,5,5,5,5,4,5,3,2,2,2,5,5,4,4,4,2,2,2,1,3,2,3,1,1,1,1,1,1,1,2,2,3,4,4,3,2,1,3,2,1,1,2,1,1,1,1,1,1,1,2,1,1,3,2,3,2,4,2,3,4,3,1,1,4,3,3,3,3,4,2,3,2,2,1,2,2,2,1,3,2,2,1,2,1,3,2,2,3,3,2,1,1,1,2,1,3,3,2,3,3,3,3,1,2,2,4,3,3,4,1,2,3,2,3,3,2,4,3,2,2,2,1,1,1,1,1,4,2,2,2,3,3,4,1,1,2,2,3,1,1,2,1,1,3,3,2,2,4,3,3,4,3,5,3,3,3,4,4,4,4,4,5,4,3,3,4,4,2,3,1,1,3,3,2,1,2,3,3,1,2,3,3,3,3,3,1,4,4,2,4,4,3,2,1,2,3,3,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,2,1,1,1,1,1,2,2,1,1,2,2,1,1,2,1,1,1,1,2,1,1,1,1,1,1,2,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,1,2,1,3,1,2,3,2,2,1,3,1,1,2,2,1,4,4,2,1,1,2,2,1,2,1,2,2,2,1,2,1,1,1,2,2,1,2,3,3,3,3,3,2,3,4,3,1,3,2,2,4,4,4,3,1,3,4,5,5,3,4,4,5,5,4,5,5,4,3,2,3,3,3,5,3,3,3,3,2,1,2,2,1,2,2,4,3,4,2,2,2,2,2,2,2,1,1,2,1,1,2,2,1,5,3,2,1,2,2,1,1,1,1,2,3,1,2,1,1,1,1,2,1,1,1,4,4,2,1,1,2,4,2,2,1,1,1,2,1,3,4,3,2,4,2,1,3,2,1,2,1,2,2,3,1,2,2,2,1,2,3,2,2,1,1,1,2,2,2,2,1,1,3,1,2,1,3,3,1,2,2,1,3,1,1,2,2,3,2,2,1,1,2,2,3,2,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,2,2,1,1,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