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1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,1,1,1,1,1,1,4,4,4,4,4,4,2,2,2,2,2,2,5,5,5,5,5,5,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,4,4,4,4,4,4,5,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,6,6,6,6,6,6,6,6,6,6,6,6,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,3,3,3,3,3,3,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,5,5,5,5,5,5,0,0,0,0,0,0,0,0,0,0,0,0,7,7,7,7,7,7,6,6,6,6,6,6,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,7,7,7,7,6,6,6,6,6,6,6,6,6,6,6,6,5,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,5,5,5,5,5,5,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,6,6,6,6,6,6,7,7,7,7,7,7,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,5,5,5,5,5,5,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,6,6,6,6,6,6,5,5,5,5,5,5,7,7,7,7,7,7,6,6,6,6,6,6,7,7,7,7,7,7,7,7,7,7,7,7,5,5,5,5,5,5,7,7,7,7,7,7,6,6,6,6,6,6,5,5,5,5,5,5,5,5,5,5,5,5,3,3,3,3,3,3,4,4,4,4,4,4,2,2,2,2,2,2,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,6,6,6,6,6,6,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,6,6,6,6,6,6,7,7,7,7,7,7,6,6,6,6,6,6,5,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,5,5,5,5,5,5,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,6,6,6,6,6,6,7,7,7,7,7,7,4,4,4,4,4,4,5,5,5,5,5,5,4,4,4,4,4,4,3,3,3,3,3,3,2,2,2,2,2,2,1,1,1,1,1,1,0,0,0,0,0,0,3,3,3,3,3,3,5,5,5,5,5,5,7,7,7,7,7,7,7,7,7,7,7,7,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,4,4,4,4,4,4,5,5,5,5,5,5,3,3,3,3,3,3,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,1,1,1,1,1,1,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,5,5,5,5,5,5,3,3,3,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,4,4,4,4,4,4,2,2,2,2,2,2,6,6,6,6,6,6,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,5,5,5,5,5,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,7,7,7,7,7,7,7,7,7,7,7,6,6,6,6,6,6,4,4,4,4,4,4,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,5,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,5,5,5,5,5,5,3,3,3,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,3,3,3,3,3,3,1,1,1,1,1,1,0,0,0,0,0,0,3,3,3,3,3,3,2,2,2,2,2,2,3,3,3,3,3,3,7,7,7,7,7,7,3,3,3,3,3,3,4,4,4,4,4,4,6,6,6,6,6,6,3,3,3,3,3,3,6,6,6,6,6,6,4,4,4,4,4,4,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,1,1,1,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,5,5,5,5,5,4,4,4,4,4,4,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,6,6,6,6,6,6,3,3,3,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,5,5,5,5,5,5,0,0,0,0,0,0,0,0,0,0,0,0,6,6,6,6,6,6,6,6,6,6,6,6,1,1,1,1,1,1,5,5,5,5,5,5,6,6,6,6,6,6,2,2,2,2,2,2,4,4,4,4,4,4,2,2,2,2,2,2,6,6,6,6,6,6,1,1,1,1,1,1,5,5,5,5,5,5,2,2,2,2,2,2,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,6,6,6,6,6,6,4,4,4,4,4,4,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,5,5,5,5,5,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,6,6,6,6,6,0,0,0,0,0,0,0,0,0,0,0,0,5,5,5,5,5,5,7,7,7,7,7,7,5,5,5,5,5,5,0,0,0,0,0,0,0,0,0,0,0,0,6,6,6,6,6,6,0,0,0,0,0,0,0,0,0,0,0,0,7,7,7,7,7,7,5,5,5,5,5,5,0,0,0,0,0,0,7,7,7,7,7,7,4,4,4,4,4,4,1,1,1,1,1,1,5,5,5,5,5,5,0,0,0,0,0,0,5,5,5,5,5,5,5,5,5,5,5,5,3,3,3,3,3,3,0,0,0,0,0,0,5,5,5,5,5,5,6,6,6,6,6,6,2,2,2,2,2,2,5,5,5,5,5,5,4,4,4,4,4,4,6,6,6,6,6,6,6,6,6,6,6,6,3,3,3,3,3,3,4,4,4,4,4,4,1,1,1,1,1,1,3,3,3,3,3,3,0,0,0,0,0,0,3,3,3,3,3,3,0,0,0,0,0,0,3,3,3,3,3,3,0,0,0,0,0,0,6,6,6,6,6,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,6,6,6,6,6,5,5,5,5,5,5,0,0,0,0,0,0,0,0,0,0,0,0,5,5,5,5,5,5,7,7,7,7,7,7,6,6,6,6,6,6,0,0,0,0,0,0,0,0,0,0,0,0,6,6,6,6,6,6,0,0,0,0,0,0,0,0,0,0,0,0,6,6,6,6,6,6,6,6,6,6,6,6,2,2,2,2,2,2,0,0,0,0,0,0,6,6,6,6,6,6,0,0,0,0,0,0,3,3,3,3,3,3,5,5,5,5,5,5,4,4,4,4,4,4,1,1,1,1,1,1,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,7,7,7,7,7,7,2,2,2,2,2,2,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,1,1,1,1,1,1,4,4,4,4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,7,7,7,7,7,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,6,6,6,6,6,6,6,6,6,6,6,0,0,0,0,0,0,0,0,0,0,0,0,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,0,0,0,0,0,0,0,0,0,0,0,0,7,7,7,7,7,7,7,7,7,7,7,7,5,5,5,5,5,5,4,4,4,4,4,4,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,7,7,7,7,7,7,5,5,5,5,5,5,1,1,1,1,1,1,2,2,2,2,2,2,0,0,0,0,0,0,1,1,1,1,1,1,5,5,5,5,5,5,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,5,5,5,5,5,5,0,0,0,0,0,0,7,7,7,7,7,7,4,4,4,4,4,4,6,6,6,6,6,6,4,4,4,4,4,4,2,2,2,2,2,2,6,6,6,6,6,6,0,0,0,0,0,0,0,0,0,0,0,0,7,7,7,7,7,7,0,0,0,0,0,0,7,7,7,7,7,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,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3,3,3,3,3,3,3,3,3,3,3,3,5,5,5,5,5,5,4,4,4,4,4,4,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,2,2,2,2,2,2,1,1,1,1,1,1,6,6,6,6,6,6,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,0,0,0,0,0,0,3,3,3,3,3,3,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,5,5,5,5,5,5,7,7,7,7,7,7,4,4,4,4,4,4,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,5,5,5,5,5,5,7,7,7,7,7,7,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,6,6,6,6,6,6,7,7,7,7,7,7,7,7,7,7,7,7,1,1,1,1,1,1,2,2,2,2,2,2,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,5,5,5,5,5,5,2,2,2,2,2,2,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,3,3,3,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,5,5,5,5,5,7,7,7,7,7,7,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,3,3,3,3,3,3,1,1,1,1,1,1,4,4,4,4,4,4,2,2,2,2,2,2,1,1,1,1,1,1,5,5,5,5,5,5,7,7,7,7,7,7,5,5,5,5,5,5,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,7,7,7,7,7,7,5,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,5,5,5,5,5,5,4,4,4,4,4,4,6,6,6,6,6,6,4,4,4,4,4,4,7,7,7,7,7,7,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,3,3,3,3,3,3,6,6,6,6,6,6,5,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,5,5,5,5,5,5,6,6,6,6,6,6,3,3,3,3,3,3,5,5,5,5,5,5,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,6,6,6,6,6,6,5,5,5,5,5,5,1,1,1,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,5,5,5,5,5,5,6,6,6,6,6,6,0,0,0,0,0,0,7,7,7,7,7,7,0,0,0,0,0,0,1,1,1,1,1,1,6,6,6,6,6,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,5,5,5,5,5,0,0,0,0,0,0,3,3,3,3,3,3,5,5,5,5,5,5,5,5,5,5,5,5,7,7,7,7,7,7,1,1,1,1,1,1,0,0,0,0,0,0,4,4,4,4,4,4,6,6,6,6,6,6,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,3,3,3,3,3,3,5,5,5,5,5,5,3,3,3,3,3,3,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,6,6,6,6,6,6,4,4,4,4,4,4,0,0,0,0,0,0,5,5,5,5,5,5,6,6,6,6,6,6,4,4,4,4,4,4,6,6,6,6,6,6,3,3,3,3,3,3,4,4,4,4,4,4,2,2,2,2,2,2,3,3,3,3,3,3,1,1,1,1,1,1,4,4,4,4,4,4,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,6,6,6,6,6,6,7,7,7,7,7,7,5,5,5,5,5,5,6,6,6,6,6,6,3,3,3,3,3,3,5,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,3,3,3,3,3,3,4,4,4,4,4,4,5,5,5,5,5,5,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,3,3,3,3,3,3,7,7,7,7,7,7,7,7,7,7,7,7,5,5,5,5,5,5,7,7,7,7,7,7,4,4,4,4,4,4,7,7,7,7,7,7,5,5,5,5,5,5,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,0,0,0,0,0,0,5,5,5,5,5,5,0,0,0,0,0,0,6,6,6,6,6,6,0,0,0,0,0,0,5,5,5,5,5,5,6,6,6,6,6,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,7,7,7,7,7,7,0,0,0,0,0,0,0,0,0,0,0,0,6,6,6,6,6,6,0,0,0,0,0,0,4,4,4,4,4,4,6,6,6,6,6,6,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,3,3,3,3,3,3,1,1,1,1,1,1,4,4,4,4,4,4,0,0,0,0,0,0,2,2,2,2,2,2,5,5,5,5,5,5,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,6,6,6,6,6,6,7,7,7,7,7,7,5,5,5,5,5,5,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,5,5,5,5,5,5,7,7,7,7,7,7,6,6,6,6,6,6,3,3,3,3,3,3,7,7,7,7,7,7,7,7,7,7,7,7,4,4,4,4,4,4,3,3,3,3,3,3,4,4,4,4,4,4,5,5,5,5,5,5,6,6,6,6,6,6,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,6,6,6,6,6,6,4,4,4,4,4,4,7,7,7,7,7,7,6,6,6,6,6,6,4,4,4,4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,0,0,0,0,0,0,3,3,3,3,3,3,2,2,2,2,2,2,0,0,0,0,0,0,4,4,4,4,4,4,3,3,3,3,3,3,0,0,0,0,0,0,5,5,5,5,5,5,6,6,6,6,6,6,4,4,4,4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,6,6,6,6,6,6,0,0,0,0,0,0,0,0,0,0,0,0,7,7,7,7,7,7,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,3,3,3,3,3,3,5,5,5,5,5,5,5,5,5,5,5,5,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,7,7,7,7,7,7,5,5,5,5,5,5,7,7,7,7,7,7,5,5,5,5,5,5,3,3,3,3,3,3,4,4,4,4,4,4,3,3,3,3,3,3,4,4,4,4,4,4,5,5,5,5,5,5,4,4,4,4,4,4,6,6,6,6,6,6,5,5,5,5,5,5,6,6,6,6,6,6,5,5,5,5,5,5,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,5,5,5,5,5,5,3,3,3,3,3,3,3,3,3,3,3,3,7,7,7,7,7,7,5,5,5,5,5,5,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,1,1,1,1,1,1,3,3,3,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,7,7,7,7,7,6,6,6,6,6,6,3,3,3,3,3,3,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,1,1,1,1,1,1,3,3,3,3,3,3,1,1,1,1,1,1,3,3,3,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,5,5,5,5,5,5,6,6,6,6,6,6,1,1,1,1,1,1,1,1,1,1,1,1,5,5,5,5,5,5,6,6,6,6,6,6,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,7,7,7,7,7,7,5,5,5,5,5,5,6,6,6,6,6,6,5,5,5,5,5,5,7,7,7,7,7,7,7,7,7,7,7,7,5,5,5,5,5,5,4,4,4,4,4,4,6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,7,7,7,7,7,7,4,4,4,4,4,4,5,5,5,5,5,5,0,0,0,0,0,0,6,6,6,6,6,6,0,0,0,0,0,0,0,0,0,0,0,0,5,5,5,5,5,5,6,6,6,6,6,6,2,2,2,2,2,2,0,0,0,0,0,0,4,4,4,4,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