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3,1,2,3,1,2,3,4,5,6,1,2,3,1,2,3,1,2,3,1,2,3,4,1,2,3,4,1,2,3,1,2,3,1,2,3,1,2,1,2,3,1,2,3,4,5,1,2,3,1,2,1,2,3,4,5,6,7,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,7,8,1,2,3,4,1,2,3,1,2,1,2,3,1,2,1,2,3,4,1,2,3,4,5,6,7,8,9,1,2,3,4,5,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,1,2,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,6,1,2,3,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,1,2,3,4,5,6,1,2,3,1,2,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,5,6,7,8,1,2,3,4,5,6,1,2,3,1,2,3,4,5,6,7,8,1,2,3,4,5,6,7,8,9,1,2,3,1,2,3,4,5,6,7,8,1,2,3,4,1,2,3,4,5,6,7,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,5,6,7,8,1,2,3,4,5,6,1,2,1,2,3,4,1,2,3,4,1,2,1,2,1,2,3,4,5,1,2,3,1,2,3,4,1,2,1,2,3,4,5,6,7,1,2,3,1,2,3,4,5,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,5,6,7,8,1,2,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,1,2,1,2,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,4,5,6,7,1,2,3,4,1,2,3,1,2,3,4,5,6,1,2,3,1,2,3,4,5,6,7,1,2,3,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,1,2,1,2,3,4,1,2,3,1,2,3,4,1,2,3,1,2,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,4,5,6,1,2,3,1,2,3,1,2,3,4,1,2,1,2,3,4,5,1,2,3,4,1,2,3,4,1,2,3,4,5,6,7,1,2,3,1,2,3,1,2,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,1,2,3,4,5,6,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,4,5,1,2,1,2,3,4,5,6,1,2,3,4,5,1,2,3,1,2,3,1,2,3,4,5,6,7,1,2,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,4,1,2,3,4,5,6,1,2,3,1,2,3,1,2,3,4,5,6,1,2,3,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,1,2,1,2,3,4,5,6,7,8,1,2,1,2,3,4,5,1,2,3,4,1,2,3,4,5,6,7,8,1,2,1,2,3,4,5,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,1,2,3,4,1,2,3,1,2,3,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,1,2,3,1,2,1,2,3,1,2,3,4,1,2,1,2,3,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,3,1,2,3,4,5,6,7,8,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,6,1,2,3,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,7,8,9,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,1,2,3,1,2,1,2,1,2,3,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,4,5,1,2,3,1,2,3,1,2,3,4,5,1,2,3,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,1,2,1,2,3,4,5,6,1,2,1,2,3,1,2,3,4,5,6,1,2,3,4,5,6,7,1,2,1,2,3,4,5,1,2,1,2,3,4,1,2,3,1,2,3,4,5,6,1,2,1,2,3,4,1,2,3,1,2,3,4,5,6,1,2,1,2,1,2,3,4,5,6,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,5,6,7,1,2,1,2,3,4,5,1,2,3,4,5,6,1,2,3,1,2,3,4,5,6,7,1,2,3,1,2,3,4,1,2,3,4,1,2,3,4,5,6,1,2,1,2,3,4,1,2,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,1,2,3,4,1,2,3,4,5,6,7,8,1,2,3,4,5,6,1,2,3,1,2,3,1,2,3,1,2,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,1,2,3,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,3,1,2,3,1,2,3,4,5,6,7,8,1,2,3,1,2,3,1,2,3,1,2,3,4,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,4,5,6,7,1,2,3,1,2,1,2,3,4,5,6,1,2,3,4,5,1,2,3,1,2,3,4,5,1,2,1,2,3,4,5,6,7,8,1,2,3,1,2,3,4,5,6,7,1,2,3,4,5,6,7,1,2,3,4,5,6,7,1,2,3,4,5,6,7,8,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,3,1,2,3,4,1,2,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,3,1,2,1,2,3,4,5,6,1,2,3,1,2,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,6,1,2,1,2,3,4,5,6,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,6,7,1,2,3,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,1,2,1,2,1,2,3,4,1,2,3,4,1,2,3,4,5,6,7,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,4,5,1,2,3,1,2,3,4,5,6,1,2,3,1,2,3,1,2,3,4,1,2,3,1,2,3,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,4,1,2,1,2,3,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,5,6,1,2,1,2,3,4,5,1,2,3,4,1,2,3,4,5,6,1,2,3,1,2,3,4,1,2,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,4,5,6,1,2,3,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,5,6,7,1,2,3,4,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,6,7,8,1,2,3,4,5,6,7,1,2,3,4,5,6,7,1,2,3,4,1,2,3,4,5,6,1,2,3,4,1,2,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,5,6,1,2,3,1,2,3,1,2,3,4,5,1,2,3,1,2,3,4,5,6,1,2,3,1,2,1,2,3,1,2,3,4,5,6,7,8,1,2,3,1,2,3,4,5,6,7,1,2,3,4,5,1,2,3,4,5,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,4,1,2,3,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,6,7,1,2,3,1,2,3,1,2,3,1,2,3,4,1,2,3,4,5,6,1,2,3,4,1,2,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,3,4,5,1,2,3,4,5,1,2,1,2,3,4,5,6,7,8,1,2,3,1,2,1,2,3,4,5,6,7,8,1,2,3,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,3,4,5,6,1,2,3,4,1,2,1,2,3,4,1,2,3,4,5,6,1,2,3,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,3,4,5,1,2,3,4,5,1,2,1,2,3,4,5,6,7,8,1,2,3,1,2,1,2,3,4,5,6,7,8,1,2,3,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,1,2,3,4,1,2,3,4,5,1,2,1,2,3,4,5,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,3,1,2,1,2,3,4,1,2,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,1,2,1,2,3,1,2,1,2,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,1,2,1,2,3,4,1,2,3,4,1,2,1,2,3,1,2,3,4,5,6,1,2,1,2,3,1,2,3,4,5,1,2,3,4,1,2,3,1,2,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,1,2,1,2,3,1,2,3,4,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,5,1,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5,1,2,1,2,3,4,1,2,3,4,1,2,3,4,5,6,7,8,1,2,3,4,1,2,3,1,2,3,4,5,6,7,8,1,2,3,4,5,6,1,2,3,4,5,6,7,1,2,3,4,1,2,3,4,1,2,3,4,5,6,7,1,2,3,4,1,2,3,4,5,6,1,2,3,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,1,2,1,2,3,4,1,2,3,4,5,1,2,1,2,3,4,5,6,7,1,2,3,1,2,3,4,5,6,1,2,3,4,1,2,3,4,1,2,3,4,5,6,7,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,4,1,2,1,2,3,4,5,6,1,2,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,3,4,5,6,7,1,2,3,4,5,1,2,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,4,5,6,7,8,1,2,3,4,5,6,7,1,2,3,4,5,1,2,3,4,5,6,1,2,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,1,2,1,2,3,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,1,2,3,4,5,6,1,2,3,4,5,1,2,1,2,3,4,5,1,2,1,2,3,1,2,3,4,5,1,2,3,4,1,2,3,4,5,1,2,1,2,3,4,1,2,3,4,5,6,1,2,3,1,2,3,4,5,6,7,8,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,6,1,2,3,1,2,3,1,2,3,1,2,3,4,5,1,2,3,4,1,2,3,4,5,6,1,2,1,2,3,4,5,6,1,2,3,1,2,3,4,5,6,1,2,3,1,2,3,4,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,1,2,3,1,2,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,1,2,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,1,2,1,2,3,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,1,2,3,4,1,2,1,2,3,4,5,1,2,3,4,5,6,1,2,3,1,2,3,4,1,2,1,2,3,4,5,1,2,3,4,5,6,1,2,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,1,2,3,1,2,3,4,1,2,1,2,3,4,5,1,2,3,1,2,3,4,5,1,2,3,4,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,6,7,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,1,2,1,2,3,4,5,6,7,8,1,2,3,4,5,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,1,2,3,1,2,3,4,5,6,7,8,1,2,3,1,2,3,4,5,6,1,2,1,2,3,4,5,1,2,3,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,1,2,1,2,3,4,1,2,3,4,1,2,3,4,1,2,1,2,3,4,5,6,7,8,1,2,3,1,2,3,4,1,2,3,4,1,2,3,4,5,6,1,2,3,4,1,2,3,1,2,3,1,2,3,4,5,1,2,3,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,4,1,2,3,1,2,3,4,5,6,7,1,2,1,2,3,4,5,1,2,3,4,5,6,7,1,2,1,2,1,2,1,2,3,4,5,6,1,2,3,4,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,1,2,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,5,6,7,1,2,3,4,1,2,3,4,5,6,1,2,3,1,2,3,4,5,6,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,1,2,1,2,3,1,2,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,3,1,2,3,4,1,2,3,1,2,3,4,5,1,2,1,2,3,4,1,2,3,1,2,3,4,5,1,2,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,1,2,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,1,2,1,2,1,2,3,4,5,6,7,8,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,1,2,3,4,5,1,2,3,1,2,3,4,5,1,2,1,2,3,4,1,2,1,2,1,2,3,4,5,6,1,2,3,4,5,6,7,1,2,1,2,3,4,5,1,2,3,1,2,1,2,3,4,1,2,3,1,2,3,1,2,3,4,1,2,3,4,5,6,7,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,6,7,8,1,2,3,4,5,6,1,2,3,1,2,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,1,2,1,2,3,1,2,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,1,2,3,4,1,2,3,1,2,3,4,5,1,2,1,2,3,4,5,1,2,3,4,1,2,3,4,5,1,2,1,2,3,4,5,6,7,8,1,2,3,1,2,3,4,5,1,2,3,1,2,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,1,2,1,2,1,2,3,4,5,6,7,8,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,1,2,3,4,5,6,7,1,2,1,2,3,4,5,1,2,3,1,2,1,2,3,4,1,2,3,1,2,3,1,2,3,4,1,2,3,4,5,6,7,1,2,3,4,5,6,7,1,2,1,2,3,4,5,1,2,3,4,5,1,2,1,2,3,1,2,3,1,2,3,1,2,3,4,5,6,1,2,1,2,3,4,5,1,2,3,4,1,2,3,4,5,6,7,1,2,3,4,5,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,1,2,3,4,1,2,3,4,1,2,1,2,3,1,2,3,4,1,2,3,4,5,6,7,1,2,3,4,5,1,2,3,1,2,3,4,5,1,2,1,2,3,1,2,1,2,3,4,5,6,7,8,1,2,3,1,2,1,2,3,1,2,3,4,5,1,2,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,5,6,7,8,9,10,1,2,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,3,4,1,2,3,4,5,6,7,8,1,2,1,2,3,1,2,3,4,1,2,3,1,2,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,3,1,2,3,4,1,2,1,2,3,4,5,6,7,8,9,1,2,3,4,5,6,7,8,1,2,3,4,5,6,1,2,3,1,2,3,4,5,1,2,3,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,3,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,1,2,1,2,3,1,2,1,2,3,4,1,2,3,4,1,2,1,2,3,4,5,6,1,2,3,4,1,2,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,5,6,1,2,3,4,1,2,1,2,3,1,2,3,4,1,2,3,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,6,7,1,2,3,4,1,2,3,4,1,2,3,4,5,6,7,1,2,1,2,3,4,5,1,2,3,4,5,1,2,1,2,3,1,2,3,1,2,3,4,5,6,1,2,1,2,3,4,5,1,2,3,4,5,6,1,2,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,4,5,1,2,3,4,1,2,3,1,2,3,4,5,1,2,1,2,3,4,5,1,2,3,4,5,6,1,2,3,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,3,1,2,3,4,1,2,3,4,1,2,3,4,5,6,7,1,2,1,2,3,4,5,1,2,3,4,1,2,1,2,3,1,2,3,4,5,1,2,3,1,2,3,1,2,3,4,1,2,1,2,3,4,5,6,1,2,3,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,3,1,2,3,4,5,1,2,3,4,5,6,1,2,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,1,2,1,2,3,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,1,2,3,1,2,3,4,5,1,2,1,2,3,1,2,1,2,3,4,5,6,7,8,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,3,4,5,6,7,1,2,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4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4,1,2,1,2,1,2,3,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,3,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,5,6,1,2,3,1,2,3,1,2,1,2,3,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,7,8,1,2,3,1,2,3,1,2,3,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,3,4,1,2,1,2,3,4,5,1,2,3,1,2,3,4,5,6,1,2,3,1,2,3,4,1,2,3,4,1,2,3,4,5,6,1,2,3,1,2,1,2,3,4,1,2,1,2,3,4,5,1,2,3,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,4,5,6,7,8,9,1,2,1,2,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,1,2,3,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,1,2,3,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,5,6,7,1,2,1,2,3,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,1,2,1,2,3,4,1,2,3,1,2,3,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,3,4,5,6,1,2,3,1,2,3,1,2,3,4,5,6,1,2,3,4,5,6,1,2,1,2,3,4,5,1,2,3,1,2,3,1,2,3,4,5,6,1,2,3,1,2,3,4,5,6,1,2,3,4,1,2,3,4,1,2,3,1,2,1,2,3,4,5,1,2,1,2,3,4,5,6,7,8,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,1,2,3,4,1,2,1,2,3,4,5,6,7,1,2,3,1,2,3,1,2,3,4,5,1,2,3,4,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,4,1,2,3,4,5,6,1,2,3,1,2,3,4,5,6,7,1,2,3,1,2,3,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,7,8,1,2,3,4,5,6,1,2,3,1,2,3,4,5,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,3,1,2,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,3,1,2,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,1,2,3,4,1,2,1,2,3,4,5,6,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,1,2,1,2,3,1,2,3,1,2,3,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,1,2,1,2,3,1,2,3,4,1,2,1,2,3,4,5,6,1,2,3,4,5,6,1,2,1,2,3,4,5,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,1,2,3,4,5,6,7,1,2,1,2,3,1,2,3,4,1,2,1,2,3,4,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,6,7,8,1,2,3,1,2,3,4,5,6,7,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,1,2,1,2,3,4,1,2,3,1,2,1,2,3,1,2,3,4,1,2,3,4,5,6,1,2,1,2,3,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,6,7,1,2,3,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,4,1,2,3,1,2,3,4,1,2,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,1,2,3,1,2,3,1,2,1,2,3,4,5,6,7,1,2,3,1,2,3,4,5,1,2,3,4,1,2,1,2,3,4,5,1,2,3,4,1,2,3,4,5,1,2,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,1,2,3,1,2,3,1,2,3,4,1,2,1,2,3,1,2,3,4,5,6,1,2,3,4,1,2,3,1,2,3,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,1,2,1,2,3,1,2,3,4,1,2,1,2,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,3,4,5,1,2,3,1,2,1,2,1,2,3,4,1,2,3,1,2,3,1,2,3,4,1,2,1,2,3,1,2,3,4,5,1,2,3,4,1,2,3,4,5,1,2,1,2,3,4,5,6,1,2,3,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,5,6,7,8,1,2,3,4,5,1,2,3,4,5,1,2,1,2,3,4,1,2,3,4,1,2,3,4,5,6,7,8,1,2,3,4,1,2,3,1,2,3,4,5,6,7,8,1,2,1,2,3,4,5,6,1,2,3,4,5,6,1,2,1,2,3,4,5,6,1,2,3,4,5,6,1,2,1,2,3,4,5,1,2,3,1,2,3,1,2,3,1,2,1,2,3,1,2,3,4,1,2,1,2,3,4,5,6,1,2,3,4,5,1,2,3,1,2,3,4,5,6,1,2,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,3,4,5,1,2,3,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,1,2,3,1,2,3,4,1,2,1,2,3,4,5,1,2,3,4,5,6,1,2,1,2,3,1,2,3,4,1,2,1,2,3,4,5,6,7,1,2,1,2,3,4,5,6,7,8,1,2,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,6,7,8,1,2,3,4,5,6,7,1,2,3,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,1,2,1,2,3,4,1,2,3,4,5,6,1,2,3,1,2,3,4,5,6,7,8,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,3,4,5,6,7,1,2,3,4,5,6,7,1,2,1,2,3,4,5,6,7,1,2,3,4,1,2,3,4,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,6,1,2,3,4,1,2,3,1,2,3,4,1,2,3,1,2,3,1,2,3,4,1,2,3,4,1,2,1,2,1,2,3,4,5,6,1,2,3,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,1,2,3,4,1,2,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,4,5,1,2,1,2,3,4,5,6,7,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,1,2,3,1,2,3,4,5,1,2,1,2,3,1,2,1,2,3,4,5,1,2,3,4,5,6,1,2,3,1,2,3,4,5,1,2,3,4,5,6,1,2,1,2,3,1,2,3,1,2,3,4,1,2,1,2,3,1,2,3,4,5,6,7,1,2,3,4,1,2,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,1,2,3,1,2,3,4,5,6,1,2,3,4,5,6,1,2,1,2,3,4,5,6,1,2,3,4,1,2,3,4,1,2,1,2,3,4,1,2,3,1,2,3,1,2,3,4,1,2,3,1,2,3,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,6,1,2,1,2,3,4,5,6,1,2,1,2,3,4,1,2,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,6,1,2,3,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,1,2,3,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,1,2,1,2,3,4,5,6,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,1,2,1,2,3,4,5,6,1,2,3,1,2,3,1,2,3,1,2,3,4,5,6,7,8,1,2,3,4,5,1,2,3,4,5,1,2,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,3,4,5,1,2,1,2,3,1,2,1,2,3,4,5,6,7,8,1,2,3,1,2,3,4,1,2,3,4,5,6,1,2,1,2,3,4,1,2,1,2,3,1,2,3,1,2,3,4,1,2,3,4,5,6,7,1,2,3,1,2,3,4,5,6,1,2,3,4,1,2,1,2,3,4,1,2,1,2,3,4,1,2,3,1,2,1,2,3,1,2,3,4,1,2,3,4,1,2,1,2,3,4,5,6,1,2,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,1,2,1,2,3,4,5,6,1,2,3,4,5,6,1,2,1,2,1,2,3,4,5,6,7,1,2,3,4,1,2,3,4,5,6,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,5,6,1,2,3,4,5,1,2,3,1,2,3,1,2,3,1,2,1,2,3,4,1,2,1,2,3,4,1,2,3,1,2,1,2,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,3,1,2,3,4,5,6,7,1,2,1,2,3,4,5,1,2,3,4,5,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,1,2,3,4,1,2,3,1,2,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,1,2,1,2,3,4,5,6,1,2,3,1,2,3,4,1,2,3,4,1,2,3,4,1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6,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,5,5,5,5,5,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,5,5,5,5,6,6,6,6,6,6,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,5,5,5,5,5,5,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,1,1,1,1,1,2,2,2,3,3,4,4,4,5,5,6,6,6,6,6,6,6,6,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,5,5,6,6,6,6,6,6,7,7,7,8,8,8,8,8,1,1,2,2,3,3,4,4,4,4,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,1,1,1,1,1,2,2,3,3,3,3,4,4,4,5,5,6,6,6,6,6,6,6,6,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,5,5,5,5,5,5,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,5,5,6,6,6,6,6,6,6,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,1,1,1,2,2,3,3,3,3,4,4,4,5,5,5,6,6,6,6,1,1,1,2,2,3,3,3,4,4,4,4,5,5,5,5,6,6,6,6,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,1,1,1,1,2,2,2,3,3,3,4,4,5,5,5,5,6,6,6,6,6,6,1,1,2,2,2,3,3,3,3,4,4,5,5,5,5,5,5,5,5,6,6,7,7,7,7,7,7,7,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,1,1,1,1,1,2,2,3,3,3,4,4,4,5,5,5,5,6,6,6,6,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,1,1,1,2,2,2,3,3,4,4,4,4,4,4,1,1,1,2,2,2,2,3,3,3,3,1,1,1,2,2,3,3,3,4,4,4,5,5,5,5,5,6,6,7,7,7,7,7,7,7,7,1,1,2,2,3,3,3,4,4,4,4,4,5,5,5,6,6,6,7,7,7,7,7,7,8,8,8,8,8,8,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,5,5,5,5,5,5,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,1,1,2,2,2,3,3,3,4,4,4,4,4,5,5,5,6,6,6,7,7,7,7,7,1,1,1,2,2,2,3,3,3,3,4,4,4,4,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,5,5,5,6,6,7,7,7,7,8,8,8,9,9,9,10,10,11,11,11,11,11,11,11,11,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,5,5,5,5,5,5,5,5,1,1,1,2,2,2,3,3,3,3,4,4,4,5,5,5,5,5,6,6,6,6,6,6,1,1,2,2,2,2,2,2,3,3,3,4,4,4,5,5,5,6,6,7,7,7,7,7,7,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,1,1,2,2,2,3,3,3,4,4,4,4,5,5,5,5,1,1,1,1,1,2,2,2,3,3,4,4,4,4,5,5,5,5,5,6,6,6,6,6,6,7,7,8,8,8,8,8,8,8,8,8,1,1,1,2,2,3,3,4,4,4,4,5,5,5,5,5,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,5,5,5,5,5,6,6,6,7,7,7,8,8,9,9,9,9,9,9,9,9,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,5,5,5,5,5,6,6,6,6,6,6,6,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,1,1,2,2,3,3,3,4,4,4,4,4,5,5,5,6,6,6,7,7,7,7,7,7,8,8,8,8,8,8,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,5,5,5,5,5,5,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,1,1,2,2,2,3,3,3,4,4,4,4,4,5,5,5,6,6,6,7,7,7,7,7,1,1,1,2,2,2,3,3,3,3,4,4,4,4,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,5,5,5,6,6,7,7,7,7,8,8,8,9,9,9,10,10,11,11,11,11,11,11,11,11,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,5,5,5,5,5,5,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,5,5,5,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,1,1,1,1,1,2,2,2,2,2,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,5,5,5,6,6,6,6,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,5,5,6,6,7,7,7,8,8,9,9,9,9,9,9,9,1,1,2,2,2,2,3,3,3,4,4,4,5,5,5,5,5,5,5,1,1,1,2,2,2,3,3,3,3,3,3,3,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,5,5,5,6,6,6,6,6,7,7,7,8,8,8,9,9,9,9,9,9,10,10,10,10,10,10,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,5,5,5,5,5,5,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,1,1,2,2,2,3,3,3,4,4,4,4,4,5,5,5,5,6,6,6,7,7,7,7,7,1,1,1,2,2,2,3,3,3,3,4,4,4,4,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,5,5,5,6,6,7,7,7,7,8,8,8,9,9,9,10,10,11,11,11,11,11,11,11,11,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,5,5,5,5,5,5,1,1,2,2,2,2,3,3,3,3,3,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,5,5,5,5,5,5,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,5,5,5,6,6,6,6,6,6,1,1,1,1,1,2,2,2,2,3,3,3,4,4,5,5,5,5,5,5,5,5,1,1,2,2,2,3,3,3,4,4,4,5,5,5,5,5,6,6,6,7,7,7,7,7,8,8,9,9,9,10,10,11,11,11,11,11,11,11,11,1,1,1,2,2,2,2,3,3,3,3,4,4,4,5,5,5,6,6,6,6,7,7,7,8,8,8,9,9,9,9,9,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,5,5,5,5,6,6,6,7,7,7,7,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,5,5,5,6,6,6,6,6,7,7,7,8,8,8,9,9,9,9,9,9,10,10,10,10,10,10,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,5,5,5,5,5,5,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,1,1,2,2,2,3,3,3,4,4,4,4,4,5,5,5,6,6,6,7,7,7,7,7,1,1,1,2,2,2,3,3,3,3,4,4,4,4,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,5,5,5,6,6,7,7,7,7,8,8,8,9,9,9,10,10,11,11,11,11,11,11,11,11,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,1,1,1,1,1,1,2,2,3,3,3,4,4,4,5,5,5,5,6,6,7,7,7,7,7,7,8,8,9,9,9,9,10,10,10,11,11,11,11,11,1,1,1,1,1,2,2,2,3,3,4,4,4,4,5,5,5,5,5,6,6,6,6,6,6,7,7,8,8,8,8,8,8,8,8,1,1,1,2,2,2,3,3,3,3,3,3,4,4,5,5,5,5,5,5,5,1,1,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,5,5,5,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,5,5,5,6,6,6,6,6,6,6,6,1,1,2,2,3,3,3,4,4,4,4,4,5,5,5,6,6,6,7,7,7,7,7,7,8,8,8,8,8,8,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,5,5,5,5,5,5,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,1,1,2,2,2,3,3,3,4,4,4,4,5,5,5,6,6,6,6,6,1,1,1,2,2,2,3,3,3,3,4,4,4,4,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,5,5,5,6,6,7,7,7,7,8,8,8,9,9,9,10,10,11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