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