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4,1,2,3,1,3,4,3,4,1,1,2,1,3,4,3,4,3,4,1,3,4,3,4,5,1,2,3,1,1,3,4,1,1,3,4,3,4,1,1,2,3,4,1,1,2,3,4,3,4,1,3,4,1,3,4,3,1,3,4,1,1,3,4,1,3,1,2,3,1,3,4,3,4,1,2,3,4,3,4,3,4,5,6,3,4,5,6,1,3,5,6,1,3,4,5,6,3,1,2,3,4,3,4,3,3,4,1,3,4,3,5,6,3,4,0,3,3,4,1,2,3,4,3,4,3,1,2,3,4,1,3,4,3,0,3,0,3,4,1,3,4,3,4,5,6,3,4,0,3,4,1,3,4,3,4,0,3,3,4,3,4,3,1,3,4,5,6,1,2,3,4,5,6,3,3,4,3,1,2,3,4,3,4,5,6,3,3,5,6,3,4,5,6,3,4,0,3,1,2,3,4,3,4,5,6,1,2,3,5,6,3,4,3,3,4,3,4,3,4,3,3,4,1,2,3,4,0,3,4,0,1,3,4,3,4,0,3,3,4,3,3,4,3,3,4,0,3,3,3,4,0,3,3,4,3,3,3,5,6,3,3,4,5,6,1,3,4,5,6,3,0,3,1,2,3,4,0,3,4,3,4,1,2,3,4,3,1,3,5,6,3,4,1,3,4,5,6,3,4,5,6,3,1,2,3,5,6,3,3,4,3,4,3,4,3,4,3,1,2,3,4,3,4,0,3,1,2,3,4,3,1,2,3,5,6,3,4,3,4,3,1,2,3,4,3,4,3,1,2,3,3,4,1,2,3,4,0,3,4,3,3,4,1,2,3,4,0,3,4,3,1,3,4,0,0,3,4,3,4,3,4,3,4,3,1,3,4,3,1,3,4,1,2,3,4,0,1,2,3,4,3,4,0,3,4,3,4,3,4,3,1,2,3,3,3,4,3,1,2,3,4,3,4,5,6,3,4,5,6,1,3,4,5,6,3,1,2,3,4,3,4,5,6,3,3,3,4,3,3,3,4,5,3,5,6,3,5,6,3,5,6,3,3,5,1,3,5,3,4,3,3,5,6,3,3,5,6,3,4,1,3,5,6,3,3,5,6,3,5,6,3,5,6,3,4,3,4,3,3,3,5,6,3,5,6,3,4,3,1,2,3,1,2,3,5,6,1,2,3,5,6,3,4,3,3,3,4,3,3,3,4,3,3,5,6,3,4,3,5,6,3,3,5,6,3,3,3,5,6,3,3,4,3,4,3,4,3,3,1,2,3,4,3,3,5,3,4,3,5,3,4,3,3,5,3,3,4,3,3,5,3,1,3,5,6,1,2,3,5,6,1,3,5,3,5,6,3,5,6,3,1,3,4,3,3,4,3,1,2,3,4,1,3,5,3,3,4,1,3,4,1,3,5,6,3,3,3,5,3,4,3,4,1,2,3,4,1,2,3,4,3,3,4,3,4,1,3,5,1,3,3,4,1,3,5,6,3,5,3,4,3,5,6,1,3,4,3,4,3,4,3,4,3,3,5,6,3,4,3,3,4,3,5,6,3,3,5,6,3,1,3,5,6,1,3,4,3,3,5,6,3,4,1,3,5,3,4,3,3,4,3,3,5,3,3,5,3,4,3,5,6,3,4,3,1,2,3,4,3,3,4,3,4,3,4,3,4,3,3,3,5,6,3,3,4,3,3,4,3,4,3,4,1,2,3,4,3,4,3,3,4,3,4,1,2,3,5,6,3,3,5,3,3,4,1,3,3,4,3,4,3,4,3,3,5,6,3,4,3,5,6,3,4,3,3,5,6,3,3,5,6,3,5,6,1,3,4,3,4,3,4,3,4,1,1,3,4,3,4,3,3,3,4,3,5,6,3,1,3,5,6,3,4,3,5,6,1,3,4,3,1,2,3,4,3,5,3,1,3,3,5,3,5,6,0,3,5,6,3,4,5,3,4,5,6,0,0,0,3,4,3,4,3,4,5,3,4,3,5,6,3,4,3,5,6,3,5,6,3,4,5,3,4,5,6,0,1,2,3,3,4,5,6,3,4,3,4,0,3,0,3,4,3,4,5,6,0,1,2,3,4,3,5,6,3,4,5,6,3,4,1,3,4,5,3,3,4,5,6,0,3,4,0,3,4,3,4,3,4,5,3,4,5,6,3,5,6,0,3,4,3,4,3,4,5,3,4,5,3,4,0,3,4,0,3,4,3,4,5,5,6,3,3,5,6,0,3,4,3,4,3,4,5,6,3,3,4,3,3,4,5,6,3,4,5,6,3,4,0,3,4,3,4,3,4,3,4,5,6,0,3,4,0,3,4,5,6,3,4,5,0,3,4,5,6,3,5,6,1,2,3,4,0,3,4,0,0,3,4,0,0,3,5,6,3,4,3,4,0,3,3,4,3,5,6,0,3,4,3,5,6,3,4,5,0,3,4,3,4,5,6,0,1,2,3,4,3,4,0,3,4,0,3,4,5,3,4,3,4,5,3,4,5,6,1,3,5,6,3,4,5,6,0,3,4,3,1,3,4,5,6,3,4,5,6,3,4,3,4,5,6,0,3,4,5,6,0,0,1,2,3,4,3,4,5,6,3,3,4,3,4,3,4,5,3,3,4,5,6,3,4,5,6,3,4,5,6,0,3,4,3,4,3,4,3,4,5,6,0,3,4,5,6,1,2,3,3,4,5,6,0,3,0,3,4,3,4,5,5,6,1,3,5,6,0,5,6,3,4,3,4,5,3,4,5,6,0,1,2,3,4,5,6,0,3,4,0,3,4,3,4,5,6,1,0,3,5,6,3,5,6,0,3,4,3,4,3,4,3,4,5,6,3,4,5,6,0,3,1,2,3,3,4,5,3,4,5,0,3,4,3,4,5,3,4,5,6,0,3,4,5,6,3,1,2,3,3,4,5,6,3,4,0,3,4,3,4,5,0,3,4,5,6,0,3,4,3,5,6,3,5,6,3,4,0,3,4,5,6,0,3,4,5,6,1,2,3,4,5,6,3,5,6,3,3,4,3,4,5,6,1,2,3,4,5,6,3,4,5,6,3,4,3,3,5,6,3,4,5,6,3,4,5,0,1,2,3,0,3,4,5,6,3,5,6,3,4,3,4,5,3,4,5,6,3,5,6,1,2,3,3,5,6,3,4,5,6,3,4,3,3,4,0,3,4,3,5,6,1,2,3,3,5,6,0,3,4,0,3,4,3,5,3,5,6,3,5,6,3,4,5,6,0,3,4,3,4,3,4,3,4,5,6,3,5,6,0,1,2,3,4,3,4,5,6,3,4,3,4,5,6,3,4,3,4,5,6,3,4,5,3,5,6,0,1,3,4,5,6,0,3,4,3,4,3,4,3,3,4,5,6,0,1,0,3,5,6,3,4,5,6,0,3,4,3,5,6,3,3,4,5,6,3,4,5,0,1,3,3,4,5,6,3,4,5,6,0,3,4,3,4,3,4,5,6,0,3,4,5,6,0,3,4,1,3,3,4,5,0,3,4,3,4,5,3,5,6,0,3,5,6,0,3,3,4,5,0,3,4,5,6,3,4,5,6,3,0,3,5,6,3,4,5,6,0,3,4,3,4,0,3,4,3,4,5,6,3,5,6,0,3,1,2,3,4,3,4,0,3,4,3,4,3,4,5,3,4,5,6,0,1,3,5,6,0,3,4,3,4,3,3,4,5,6,0,3,4,5,6,0,1,2,3,3,5,6,0,0,3,4,3,4,3,4,5,6,0,3,4,3,4,3,3,5,6,3,5,6,3,4,3,4,5,6,3,4,5,6,1,2,3,4,5,3,4,5,6,3,3,4,5,6,0,3,4,0,3,4,3,4,5,6,3,4,5,6,0,3,4,3,4,3,5,6,3,5,6,3,4,0,3,4,3,5,6,1,3,5,6,3,3,4,3,4,5,6,3,4,3,4,5,6,3,4,3,4,3,4,3,3,4,5,6,0,1,3,4,3,4,5,6,0,3,4,3,4,3,4,3,4,1,3,4,0,0,0,3,4,5,6,3,4,5,6,3,4,5,6,3,3,4,5,3,4,5,6,3,5,6,0,1,2,3,4,3,4,5,6,3,4,5,0,3,3,4,5,6,0,3,4,3,4,3,4,5,6,0,3,4,0,0,3,4,3,4,5,5,6,3,3,4,5,6,0,3,3,4,5,6,3,4,3,4,5,6,3,4,5,6,3,4,5,6,3,3,5,6,0,3,4,5,3,4,5,6,3,5,6,1,2,3,4,3,4,5,3,4,3,5,6,3,4,5,6,0,3,4,5,1,3,4,5,6,3,4,5,0,3,4,3,4,5,6,3,4,5,6,0,3,4,1,2,3,4,5,6,3,5,6,3,4,0,3,4,5,6,0,1,2,3,4,3,4,5,6,3,4,0,3,4,5,0,3,3,4,5,6,3,4,3,4,3,4,5,6,3,4,5,6,0,3,4,3,5,6,0,3,4,0,3,4,3,0,3,4,5,6,0,3,4,5,6,0,3,4,1,2,3,4,3,4,5,6,3,4,5,6,0,0,3,4,0,1,2,3,4,0,3,4,5,0,3,4,3,4,5,3,4,3,4,3,3,4,5,6,0,3,4,5,6,0,1,2,3,4,5,6,3,4,5,6,3,4,0,0,3,4,5,6,0,3,4,5,0,1,2,3,4,3,4,5,6,0,3,4,0,3,4,3,4,3,4,5,3,4,5,6,0,1,3,4,0,3,4,0,0,3,4,0,3,4,5,6,0,3,4,3,4,0,3,0,3,4,3,4,5,6,0,1,3,4,0,3,4,5,0,3,4,3,4,3,4,5,6,3,4,5,6,3,4,0,3,4,5,6,1,2,3,5,6,0,3,4,0,3,4,0,5,6,3,4,5,6,0,3,4,1,2,3,3,4,5,6,3,4,3,4,0,3,4,3,4,5,6,0,1,3,4,5,6,3,4,3,3,4,1,3,5,6,3,5,6,3,4,0,3,4,5,6,3,5,6,1,2,3,4,5,6,0,3,4,0,3,4,3,4,3,4,5,3,4,5,6,0,1,3,4,5,6,3,4,5,6,3,4,5,6,3,3,5,6,3,3,4,5,6,3,5,6,0,1,2,3,4,3,4,5,6,0,3,4,5,3,4,5,6,3,5,6,3,4,3,4,5,6,0,3,4,5,6,0,1,2,3,3,4,5,6,3,4,5,6,3,4,0,3,4,3,4,3,3,4,5,6,3,4,3,4,5,3,4,5,6,3,4,3,4,0,3,3,4,5,6,3,4,5,6,0,1,2,3,4,0,3,4,5,6,3,4,5,6,3,4,3,5,6,0,3,4,5,3,4,5,6,3,4,5,0,1,2,3,4,3,4,5,6,3,4,5,6,3,4,5,6,3,3,5,6,0,3,4,5,3,4,5,6,3,5,6,1,2,3,4,3,4,5,6,0,3,4,3,4,5,6,3,4,3,4,3,5,3,4,5,6,0,1,3,4,5,6,3,4,5,6,3,4,3,4,5,6,3,4,5,6,0,1,3,4,5,6,3,5,6,3,4,3,4,5,6,3,4,5,6,1,2,3,4,5,6,3,4,5,6,3,4,3,5,6,3,4,5,6,3,4,0,3,4,0,3,3,4,0,3,4,0,0,3,5,6,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4,1,5,5,5,5,5,5,3,5,5,5,5,1,5,5,5,5,5,4,4,3,3,4,4,4,4,5,5,5,5,5,5,1,5,5,5,5,5,5,4,4,3,4,4,4,4,4,4,4,4,3,4,4,4,4,4,4,4,1,4,4,1,4,4,4,4,4,4,1,3,4,4,4,3,4,4,3,3,4,4,4,4,3,3,3,3,4,4,4,3,3,4,4,3,3,3,5,5,5,5,1,3,5,5,5,5,1,5,5,5,5,5,3,1,3,4,4,4,4,1,4,4,4,4,4,4,4,4,3,5,5,5,5,5,4,4,5,5,5,5,5,1,5,5,5,5,1,3,5,5,5,5,5,5,3,4,4,4,4,4,4,4,4,4,4,4,4,3,4,4,4,4,4,4,3,3,4,4,4,4,3,5,5,5,5,5,5,3,4,4,4,4,4,3,4,4,4,4,4,4,3,3,3,3,4,4,4,4,4,4,1,4,4,3,4,4,4,4,4,4,4,1,4,4,3,3,4,4,4,4,1,4,4,4,3,4,4,4,4,4,4,4,4,3,4,4,4,4,3,4,4,4,4,4,4,4,1,4,4,4,4,3,4,4,4,1,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,4,4,3,4,4,4,4,1,5,5,5,5,5,5,1,1,5,5,5,5,5,5,5,5,5,5,5,3,4,4,4,4,1,5,5,5,5,3,3,3,4,4,4,3,3,3,4,4,4,4,1,3,5,5,5,5,3,1,3,5,5,5,1,3,5,5,5,3,1,4,4,5,5,5,4,4,4,3,1,4,4,4,4,3,4,4,4,4,4,4,4,4,3,4,4,5,5,5,5,4,4,4,4,3,4,4,4,3,5,5,5,3,3,1,3,5,5,5,4,4,4,4,4,4,3,2,2,3,1,3,5,5,5,5,3,3,4,4,5,5,5,1,5,5,5,5,1,5,5,5,5,3,4,4,4,5,5,5,5,3,4,4,4,3,3,4,4,3,3,5,5,5,5,5,5,5,5,5,5,5,3,4,4,4,5,5,5,5,3,4,4,3,4,4,4,4,3,3,5,5,5,5,5,5,1,5,5,5,5,5,5,4,4,4,4,5,5,5,5,4,4,4,4,4,4,4,4,4,4,4,3,4,4,4,4,4,4,3,4,4,3,4,4,5,5,5,5,3,3,4,4,3,1,3,5,5,5,4,4,4,3,4,4,1,3,5,5,5,3,3,4,4,5,5,5,3,4,4,4,3,3,4,4,5,5,5,5,5,5,5,3,3,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,3,4,4,3,4,4,5,5,5,5,5,4,4,4,4,3,4,4,4,4,1,4,4,5,5,5,4,4,4,4,4,4,4,3,5,5,5,5,4,4,4,4,3,3,5,5,5,5,5,5,5,5,3,3,4,4,3,4,4,4,4,4,3,1,3,5,5,5,5,1,5,5,5,5,5,5,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,4,4,3,3,4,4,4,5,5,5,5,3,3,4,4,5,5,5,5,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,4,4,4,4,4,4,4,4,3,4,4,5,5,5,5,5,4,4,4,4,3,4,4,4,3,2,2,3,3,5,5,5,5,5,5,5,5,4,4,3,4,4,3,1,4,4,5,5,5,5,5,5,5,5,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,4,4,4,4,5,5,5,5,4,4,4,4,4,4,4,4,4,4,4,3,4,4,4,5,5,5,5,4,4,5,5,5,5,4,4,4,4,4,3,4,4,4,4,5,5,5,5,5,2,2,5,5,5,5,3,3,4,4,4,4,4,4,2,2,3,5,5,5,4,4,4,4,4,4,4,5,5,5,5,5,3,4,4,4,1,5,5,5,3,2,2,3,4,4,3,3,4,4,4,4,4,4,4,4,5,5,5,5,3,4,4,1,3,5,5,5,3,3,4,4,4,4,3,4,4,1,5,5,5,5,4,4,4,4,4,4,1,1,5,5,5,5,3,1,3,5,5,5,5,5,5,5,5,4,4,4,4,3,4,4,4,3,4,4,4,1,5,5,5,5,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,3,3,4,4,3,4,4,5,5,5,3,1,4,4,5,5,5,5,5,5,5,3,4,4,5,5,5,5,5,5,5,5,5,3,4,4,5,5,5,5,5,4,4,4,4,3,4,4,4,4,4,4,4,4,4,5,5,5,5,3,4,4,4,4,4,4,3,4,4,4,4,4,3,4,4,5,5,5,5,3,4,4,4,4,4,4,4,4,4,5,5,5,5,4,4,4,4,3,4,4,3,1,3,5,5,5,5,5,5,5,5,3,3,4,4,4,5,5,5,5,4,4,4,3,4,4,5,5,5,5,3,4,4,4,3,4,4,4,4,4,4,4,3,3,4,4,4,4,3,4,4,3,3,5,5,5,5,3,4,4,3,4,4,3,5,5,5,5,5,5,4,4,5,5,5,5,5,5,5,3,3,4,4,4,4,4,4,4,4,4,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,3,4,4,1,5,5,5,5,4,4,4,4,5,5,5,3,4,4,3,1,4,4,5,5,5,3,4,4,5,5,5,5,5,5,5,4,4,4,4,4,4,3,4,4,4,4,4,5,5,5,5,4,4,4,3,4,4,4,4,4,4,3,2,2,5,5,5,5,5,4,4,3,4,4,4,4,4,4,3,4,4,5,5,5,5,3,3,4,4,3,4,4,4,4,4,4,3,4,4,3,1,3,5,5,5,4,4,4,3,4,4,4,3,3,3,2,2,3,1,3,5,5,5,5,3,4,4,5,5,5,5,5,5,5,5,4,4,4,4,3,4,4,4,5,5,5,5,4,4,4,4,3,4,4,4,4,3,5,5,5,5,4,4,4,4,4,4,4,4,4,4,3,2,2,4,4,4,4,5,5,5,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,4,4,3,3,4,4,4,4,1,1,4,4,4,3,3,3,3,3,3,4,4,4,1,1,1,3,3,1,1,1,1,4,4,4,1,4,4,4,4,4,1,3,3,1,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,4,4,4,1,1,2,2,4,4,4,4,4,4,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,4,4,4,5,5,5,5,1,1,5,5,5,3,3,3,1,1,1,4,4,4,4,4,3,3,5,5,5,5,4,4,4,1,4,4,1,4,4,4,1,2,2,4,4,4,1,5,5,5,5,4,4,1,4,4,2,2,4,4,4,4,4,4,1,1,4,4,4,4,1,5,5,5,5,1,1,2,2,4,4,4,1,5,5,5,5,4,4,4,1,4,4,1,3,3,5,5,5,5,1,4,4,4,4,4,4,3,3,1,1,1,1,4,4,4,4,4,1,4,4,1,4,4,4,1,1,4,4,5,5,5,5,1,5,5,5,5,5,4,4,1,4,4,4,4,4,5,5,5,1,1,5,5,5,5,2,2,4,4,4,4,4,4,5,5,5,5,4,4,4,1,1,2,2,4,4,4,4,4,4,1,1,4,4,4,4,4,4,4,4,4,3,3,4,4,1,1,4,4,4,3,3,4,4,1,4,4,4,2,2,1,4,4,1,1,4,4,4,4,4,5,5,5,5,4,4,4,1,1,4,4,2,2,1,4,4,1,1,4,4,4,1,4,4,1,1,4,4,4,4,4,4,5,5,5,5,1,1,5,5,5,5,4,4,4,4,4,4,4,5,5,5,5,1,1,5,5,5,3,3,3,1,5,5,5,5,5,1,4,4,4,4,4,4,4,4,4,4,5,5,5,5,1,4,4,2,2,1,5,5,5,5,1,1,4,4,4,1,4,4,1,5,5,5,5,1,1,4,4,4,4,5,5,5,5,1,5,5,5,5,2,2,4,4,4,4,4,4,4,4,4,3,3,1,4,4,4,4,4,4,1,4,4,5,5,5,5,5,4,4,3,3,1,1,1,1,4,4,1,1,4,4,1,5,5,5,1,4,4,4,5,5,5,5,3,3,3,1,4,4,1,1,4,4,4,4,4,4,4,4,4,4,4,4,5,5,4,4,5,5,5,5,5,1,2,2,4,4,3,3,1,1,4,4,4,4,4,4,2,2,4,4,3,2,2,4,4,1,1,3,3,3,3,3,3,1,3,3,3,4,4,4,1,4,4,4,1,3,1,3,2,2,1,3,3,4,4,3,2,2,3,2,2,3,3,3,3,1,3,1,1,3,3,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,1,4,4,4,4,4,4,1,4,4,3,4,4,4,4,1,4,4,3,4,4,4,4,4,3,4,4,1,4,4,4,4,3,3,4,4,4,3,3,3,3,3,3,1,1,4,4,4,4,3,4,4,1,1,4,4,4,4,1,4,4,4,4,4,4,3,3,3,3,3,4,4,1,1,3,4,4,4,3,4,4,1,1,3,4,4,4,3,3,4,4,4,4,3,4,4,1,4,4,1,4,4,3,4,4,4,4,1,4,4,4,3,1,3,4,4,4,4,4,4,4,4,3,3,4,4,4,3,4,4,4,4,3,4,4,4,4,3,4,4,1,4,4,4,4,4,4,3,3,3,3,3,4,4,4,4,3,1,4,4,4,3,3,3,3,4,4,4,3,1,3,3,3,3,3,1,1,1,1,1,4,4,3,3,1,4,4,3,4,4,1,4,4,4,3,4,4,1,3,4,4,4,4,4,3,3,1,1,1,4,4,4,3,3,3,4,4,1,4,4,3,1,1,1,4,4,3,1,4,4,3,4,4,4,4,1,1,4,4,4,4,4,1,4,4,4,3,3,4,4,4,5,5,5,5,3,3,3,3,4,4,1,4,4,4,3,3,3,3,4,4,3,1,3,4,4,4,3,3,3,3,1,4,4,4,1,1,3,3,3,3,3,1,3,1,3,4,4,4,3,4,4,4,1,4,4,3,1,4,4,1,1,1,1,4,4,3,3,1,4,4,1,3,3,3,4,4,3,4,4,1,3,4,4,3,4,4,4,4,3,3,3,4,4,4,4,1,3,3,3,4,4,3,4,4,4,4,3,3,3,1,3,1,4,4,4,3,3,5,5,5,5,5,4,4,4,1,1,4,4,4,3,4,4,4,4,5,5,5,4,4,4,1,4,4,4,4,4,4,4,5,5,5,4,4,4,5,5,5,5,1,3,3,3,3,3,4,4,4,5,5,5,5,1,4,4,4,4,5,5,5,5,4,4,1,3,4,4,4,4,4,5,5,5,5,4,4,4,4,4,4,4,4,4,5,5,5,4,4,3,3,4,4,5,5,5,5,3,4,4,3,1,4,4,4,4,4,4,4,4,4,1,5,5,5,5,5,5,5,4,4,4,4,1,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