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