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