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2,1,2,3,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,6,7,1,2,3,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,1,2,3,1,2,3,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,1,2,3,1,2,3,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,4,5,1,2,3,4,5,1,2,1,2,3,4,1,2,3,4,5,6,1,2,1,2,3,4,5,1,2,3,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,4,1,2,3,4,5,6,1,2,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,1,2,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,1,2,3,4,5,6,7,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,1,2,1,2,1,2,3,1,2,3,1,2,3,4,5,6,1,2,3,4,1,2,3,1,2,3,4,5,6,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,3,4,5,6,7,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,4,1,2,3,4,5,1,2,3,1,2,1,2,3,4,5,6,7,1,2,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,1,2,3,1,2,1,2,3,4,5,1,2,3,4,5,1,2,3,4,1,2,3,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,6,7,1,2,3,1,2,3,1,2,3,1,2,3,4,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,6,7,8,1,2,3,1,2,3,4,5,6,1,2,3,1,2,3,4,1,2,1,2,1,2,3,4,5,6,1,2,3,4,1,2,3,1,2,3,1,2,3,4,5,6,1,2,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,1,2,3,4,1,2,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,6,7,1,2,3,4,1,2,3,1,2,3,4,5,6,7,1,2,1,2,3,4,5,6,1,2,3,4,1,2,3,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,1,2,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,5,1,2,1,2,3,1,2,3,1,2,3,1,2,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,1,2,1,2,3,4,5,1,2,1,2,3,4,5,6,7,1,2,3,4,5,6,7,1,2,3,1,2,1,2,3,4,1,2,3,4,1,2,3,4,5,6,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,1,2,3,4,5,6,7,1,2,3,1,2,3,1,2,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,4,1,2,1,2,3,4,1,2,3,4,1,2,3,4,1,2,1,2,3,4,5,1,2,3,4,5,6,1,2,1,2,3,4,1,2,3,4,1,2,1,2,3,4,5,6,1,2,3,4,5,6,7,1,2,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,1,2,1,2,3,4,5,6,1,2,1,2,3,4,5,6,1,2,3,1,2,3,4,5,1,2,3,1,2,3,4,5,6,1,2,3,4,1,2,3,1,2,3,4,5,6,7,1,2,3,1,2,3,4,5,6,1,2,3,4,1,2,3,1,2,3,4,5,6,7,1,2,3,1,2,3,4,5,6,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,3,4,5,6,7,1,2,3,4,5,6,7,8,1,2,3,1,2,3,4,5,6,1,2,3,1,2,3,4,5,1,2,3,1,2,3,4,5,6,1,2,3,1,2,3,4,5,1,2,3,1,2,3,1,2,3,4,1,2,3,1,2,3,4,5,6,1,2,3,4,5,1,2,3,1,2,3,4,5,1,2,3,4,5,6,7,1,2,1,2,3,4,5,6,1,2,3,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,1,2,1,2,3,4,5,1,2,3,4,5,6,1,2,3,1,2,3,4,5,6,1,2,3,4,5,6,7,1,2,3,4,5,1,2,3,4,1,2,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,6,7,8,9,1,2,3,4,5,6,7,1,2,3,4,5,6,7,8,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,3,1,2,3,1,2,3,4,5,6,1,2,3,4,5,6,7,8,1,2,3,4,5,6,7,8,9,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,6,7,8,9,1,2,3,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,7,8,1,2,3,4,5,6,1,2,3,1,2,3,4,5,6,1,2,3,4,5,6,7,8,9,1,2,1,2,3,4,5,6,7,1,2,3,4,5,6,7,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,7,1,2,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,6,1,2,3,1,2,3,4,5,1,2,3,4,5,6,1,2,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,6,7,1,2,3,4,5,6,7,1,2,3,1,2,3,1,2,1,2,1,2,3,4,1,2,3,1,2,3,4,5,6,1,2,3,4,5,6,7,8,1,2,3,4,5,1,2,3,4,1,2,3,4,5,6,1,2,3,1,2,3,4,5,1,2,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,4,5,1,2,3,1,2,3,1,2,3,1,2,3,4,1,2,3,4,1,2,3,4,1,2,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,6,7,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,3,4,5,1,2,3,1,2,3,1,2,3,4,5,1,2,3,4,5,1,2,1,2,3,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,6,7,1,2,3,4,5,6,7,8,9,1,2,3,4,5,6,7,8,1,2,3,1,2,3,1,2,3,4,5,6,7,1,2,3,1,2,3,4,1,2,3,1,2,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,4,5,6,7,1,2,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,1,2,3,1,2,1,2,3,1,2,3,4,1,2,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,3,1,2,3,4,1,2,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,6,1,2,3,1,2,3,4,5,1,2,3,4,5,6,1,2,3,1,2,3,1,2,3,1,2,3,4,5,1,2,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,1,2,3,1,2,3,1,2,3,4,1,2,3,4,5,1,2,1,2,3,1,2,3,1,2,3,4,1,2,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,4,1,2,3,1,2,3,1,2,1,2,3,1,2,3,4,5,6,1,2,3,1,2,3,1,2,1,2,3,4,1,2,3,4,5,6,1,2,3,1,2,3,4,5,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,5,6,7,1,2,3,1,2,3,4,5,1,2,3,4,5,6,1,2,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,3,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,1,2,3,1,2,3,1,2,3,4,5,1,2,1,2,3,1,2,3,1,2,3,4,1,2,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,3,4,1,2,3,1,2,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,4,5,6,7,8,9,10,1,2,1,2,3,4,5,6,7,8,1,2,1,2,3,4,5,1,2,3,4,5,6,1,2,3,1,2,3,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,1,2,3,1,2,3,4,5,6,1,2,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,4,1,2,3,1,2,3,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,6,7,1,2,3,4,5,6,7,1,2,1,2,3,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,1,2,3,4,5,1,2,3,1,2,3,4,5,1,2,3,4,5,6,1,2,1,2,3,4,5,1,2,3,4,5,6,1,2,1,2,3,4,5,1,2,1,2,3,4,5,1,2,3,4,5,6,1,2,3,1,2,3,4,1,2,3,1,2,3,4,5,6,7,8,1,2,3,4,5,1,2,3,4,5,6,1,2,1,2,3,4,5,6,7,1,2,3,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,5,6,7,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,3,1,2,3,1,2,3,4,5,6,1,2,3,4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3,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,7,8,1,2,3,1,2,3,4,5,6,7,8,1,2,3,1,2,3,4,5,6,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,3,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,1,2,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,6,1,2,1,2,3,4,5,6,7,8,1,2,1,2,3,4,5,6,7,1,2,3,4,5,1,2,3,1,2,3,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,6,7,8,9,1,2,3,1,2,3,4,5,6,7,8,1,2,3,1,2,3,4,5,6,7,8,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,3,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,6,1,2,1,2,3,4,5,6,7,1,2,3,4,5,6,7,1,2,3,4,5,1,2,1,2,1,2,3,4,1,2,3,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,1,2,3,1,2,1,2,3,4,5,6,7,8,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,6,7,8,1,2,3,1,2,3,4,5,6,7,8,1,2,3,4,5,6,7,8,1,2,3,4,5,1,2,3,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,1,2,3,1,2,3,1,2,3,4,5,1,2,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,1,2,3,1,2,3,4,5,1,2,3,4,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,1,2,1,2,3,4,5,6,1,2,3,1,2,3,1,2,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,4,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,1,2,1,2,3,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,1,2,3,1,2,1,2,3,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,3,4,1,2,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,6,1,2,3,1,2,3,4,5,1,2,1,2,3,4,1,2,3,4,1,2,3,4,5,6,7,1,2,3,1,2,3,4,5,6,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,1,2,3,1,2,3,4,5,1,2,3,4,5,6,1,2,3,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,4,1,2,3,4,1,2,1,2,3,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,7,1,2,1,2,3,4,1,2,3,1,2,3,1,2,3,4,5,6,1,2,3,4,5,1,2,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,1,2,3,4,5,6,7,8,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,7,8,9,10,1,2,1,2,3,4,1,2,3,4,1,2,3,4,5,6,7,1,2,3,4,5,6,7,1,2,3,1,2,3,4,1,2,3,4,5,6,7,8,9,1,2,3,4,5,6,7,1,2,3,4,5,6,7,1,2,3,1,2,3,4,5,6,7,8,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,5,6,1,2,3,4,1,2,3,4,1,2,3,4,5,6,7,8,9,1,2,3,1,2,3,4,5,6,7,8,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,7,8,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,4,5,6,7,8,1,2,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,3,1,2,3,1,2,3,4,1,2,3,4,1,2,3,4,5,6,7,8,1,2,3,4,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,3,4,5,6,7,8,9,10,1,2,1,2,3,4,5,6,1,2,3,4,5,6,7,1,2,3,4,5,6,7,1,2,1,2,3,4,5,6,7,8,1,2,3,4,1,2,3,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,1,2,3,4,1,2,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,4,5,1,2,1,2,3,4,1,2,3,4,1,2,3,1,2,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,4,1,2,3,1,2,3,4,1,2,1,2,3,4,1,2,3,4,5,6,1,2,3,1,2,3,4,1,2,3,4,5,6,1,2,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,3,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,4,1,2,3,4,5,1,2,1,2,3,4,5,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,1,2,3,4,5,6,1,2,1,2,3,4,5,6,1,2,1,2,3,4,1,2,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,1,2,1,2,3,4,5,6,7,8,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,1,2,3,4,1,2,3,1,2,3,4,5,6,7,8,1,2,3,4,5,6,7,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,1,2,3,4,1,2,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,1,2,3,4,5,6,7,8,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,1,2,3,4,5,1,2,3,4,5,1,2,1,2,3,4,5,6,1,2,1,2,3,4,5,6,7,1,2,3,4,5,6,7,8,1,2,3,4,5,6,7,1,2,3,4,5,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,5,1,2,1,2,3,1,2,3,1,2,3,1,2,1,2,3,1,2,1,2,3,4,1,2,3,4,1,2,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,4,5,1,2,3,4,5,1,2,1,2,3,4,1,2,3,1,2,3,4,5,6,7,8,1,2,3,4,5,1,2,3,4,5,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,7,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,6,7,8,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,1,2,3,4,5,6,1,2,3,4,1,2,3,1,2,3,4,5,6,7,8,1,2,3,4,5,1,2,3,4,5,6,1,2,3,1,2,3,4,5,1,2,1,2,3,4,5,6,1,2,3,4,5,1,2,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,6,1,2,3,1,2,3,4,5,6,1,2,3,4,5,6,1,2,1,2,3,4,1,2,1,2,1,2,3,4,5,1,2,3,4,5,6,1,2,1,2,3,4,1,2,1,2,1,2,3,4,5,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,4,1,2,3,1,2,3,1,2,3,4,5,6,7,8,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,4,1,2,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,3,4,5,1,2,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,1,2,3,4,1,2,1,2,3,1,2,1,2,3,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,7,1,2,1,2,3,4,5,1,2,3,1,2,3,4,5,6,7,1,2,1,2,3,4,1,2,3,1,2,3,4,1,2,1,2,3,4,5,6,1,2,3,1,2,3,4,1,2,1,2,3,4,5,6,1,2,1,2,1,2,3,4,1,2,1,2,3,4,5,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,1,2,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,1,2,3,4,5,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,5,6,7,1,2,3,1,2,3,4,5,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,5,6,7,1,2,1,2,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,4,1,2,1,2,3,4,1,2,3,4,1,2,1,2,3,4,5,6,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,4,5,1,2,1,2,3,4,1,2,1,2,3,1,2,1,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4,1,2,3,4,5,6,1,2,3,1,2,3,4,5,6,1,2,3,1,2,3,4,1,2,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,1,2,3,1,2,3,4,5,6,1,2,3,1,2,3,4,1,2,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,1,2,3,1,2,3,4,5,1,2,3,4,5,6,1,2,1,2,1,2,3,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,3,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,4,5,6,7,1,2,3,1,2,3,4,5,1,2,3,4,5,1,2,1,2,3,1,2,3,4,5,6,1,2,3,4,1,2,3,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,6,7,1,2,3,4,5,6,7,8,1,2,3,4,5,6,1,2,1,2,3,1,2,3,4,1,2,3,4,5,6,7,1,2,3,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,1,2,3,4,5,6,7,1,2,3,4,5,1,2,3,4,1,2,1,2,3,4,1,2,3,1,2,1,2,3,4,5,6,1,2,3,1,2,3,4,5,6,1,2,3,4,5,6,1,2,1,2,3,4,5,6,1,2,3,1,2,3,4,1,2,3,4,5,6,7,1,2,3,4,5,1,2,3,4,1,2,3,1,2,1,2,3,1,2,3,4,1,2,3,1,2,3,1,2,3,4,5,6,7,8,1,2,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,1,2,3,4,1,2,3,4,5,6,1,2,3,1,2,3,4,5,1,2,3,1,2,3,1,2,3,1,2,3,4,5,6,7,8,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,6,1,2,1,2,3,4,5,1,2,1,2,3,4,5,6,7,1,2,3,4,5,6,7,8,1,2,3,4,5,6,7,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,1,2,3,4,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,6,1,2,3,1,2,3,4,5,6,7,8,1,2,1,2,3,4,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,5,1,2,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,4,5,6,1,2,3,4,5,6,7,1,2,3,4,5,6,7,1,2,3,4,1,2,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,1,2,3,4,1,2,3,4,5,6,1,2,1,2,3,1,2,3,4,5,6,1,2,3,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,1,2,1,2,3,4,1,2,3,4,1,2,3,1,2,3,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,6,7,1,2,3,4,5,6,7,8,1,2,3,4,1,2,3,1,2,3,4,5,6,7,8,9,1,2,3,4,1,2,3,4,5,6,7,1,2,1,2,3,4,1,2,1,2,3,4,5,6,7,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,1,2,1,2,3,4,5,1,2,3,1,2,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,6,7,8,1,2,3,4,1,2,3,4,5,6,7,8,1,2,3,1,2,1,2,3,1,2,3,4,1,2,3,4,5,6,1,2,1,2,3,1,2,3,4,1,2,3,1,2,3,1,2,3,1,2,3,4,5,6,7,1,2,3,4,5,1,2,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,6,1,2,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,4,5,6,1,2,1,2,3,4,1,2,3,4,1,2,3,4,5,6,7,1,2,3,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,1,2,3,4,5,6,7,1,2,3,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,6,1,2,1,2,3,4,5,6,7,1,2,3,1,2,3,4,1,2,3,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,4,5,1,2,3,4,1,2,3,4,5,1,2,3,1,2,1,2,3,1,2,3,4,1,2,3,1,2,3,4,5,6,1,2,3,1,2,3,4,1,2,3,4,1,2,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,4,1,2,3,4,5,1,2,1,2,3,1,2,1,2,3,4,5,1,2,1,2,3,4,1,2,3,4,5,6,1,2,1,2,3,4,1,2,1,2,3,4,1,2,3,4,1,2,1,2,3,4,1,2,1,2,3,4,1,2,3,4,1,2,1,2,3,4,1,2,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,1,2,3,4,5,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,1,2,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,1,2,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,7,1,2,3,4,5,6,7,1,2,3,4,5,6,7,1,2,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,1,2,3,1,2,1,2,3,4,1,2,3,4,5,6,1,2,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,4,5,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,3,4,5,1,2,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,3,4,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,1,2,3,4,5,6,1,2,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,4,5,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,3,4,5,1,2,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,1,2,3,4,1,2,3,4,5,6,7,1,2,3,1,2,3,4,1,2,3,1,2,1,2,3,4,1,2,3,1,2,3,1,2,3,4,5,1,2,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,1,2,3,4,5,6,7,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,1,2,1,2,3,4,5,6,7,1,2,3,4,5,6,7,1,2,3,4,5,6,7,1,2,3,4,5,1,2,3,4,1,2,3,4,5,6,7,8,1,2,3,4,1,2,3,4,5,6,7,1,2,3,4,5,1,2,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,3,1,2,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,6,1,2,1,2,3,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,4,5,6,7,8,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,6,1,2,1,2,3,4,5,6,7,8,1,2,1,2,3,4,5,1,2,3,4,1,2,1,2,3,4,5,6,1,2,3,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,3,4,5,6,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,6,1,2,3,1,2,3,4,5,1,2,3,4,1,2,3,4,5,6,7,8,9,1,2,3,1,2,3,4,5,6,1,2,3,4,5,6,1,2,1,2,3,1,2,3,4,5,6,1,2,1,2,3,4,5,6,1,2,3,1,2,3,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,1,2,3,1,2,3,4,5,6,1,2,3,4,5,1,2,1,2,3,4,1,2,3,4,1,2,1,2,3,1,2,3,4,5,1,2,3,1,2,1,2,3,4,5,6,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,6,7,8,9,1,2,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,1,2,1,2,3,4,5,1,2,3,4,5,1,2,1,2,3,1,2,3,4,5,6,7,1,2,3,1,2,3,4,5,1,2,1,2,1,2,3,4,5,6,1,2,3,1,2,1,2,3,1,2,3,4,1,2,3,1,2,1,2,3,4,5,6,1,2,1,2,1,2,3,4,5,6,1,2,3,1,2,1,2,3,1,2,3,4,1,2,3,1,2,1,2,3,4,5,6,1,2,3,4,1,2,3,4,1,2,3,4,5,6,7,1,2,3,4,5,6,7,8,1,2,1,2,1,2,3,4,5,6,1,2,3,1,2,3,1,2,3,4,1,2,3,4,5,6,7,8,1,2,3,4,1,2,3,4,5,1,2,3,1,2,1,2,3,4,5,6,1,2,3,4,1,2,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,1,2,1,2,3,4,1,2,1,2,3,4,5,6,7,1,2,3,4,5,6,7,1,2,3,4,5,6,7,1,2,3,1,2,3,4,1,2,3,4,5,6,7,1,2,1,2,3,4,5,6,1,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1,1,1,1,2,2,2,3,3,4,4,4,5,5,5,6,6,6,6,7,7,7,7,7,7,8,8,8,8,8,8,9,9,9,9,9,9,9,9,10,10,10,11,11,11,12,12,12,12,12,12,12,1,1,1,2,2,2,3,3,4,4,4,5,5,5,5,5,5,5,6,6,6,6,7,7,8,8,8,8,8,8,9,9,9,10,10,11,11,11,11,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,5,5,5,5,5,5,5,6,6,6,6,7,7,7,7,7,7,1,1,1,2,2,2,3,3,3,3,3,4,4,4,5,5,5,5,5,6,6,6,6,7,7,7,7,7,8,8,8,9,9,9,9,9,9,9,9,10,10,10,10,11,11,11,11,11,11,10,10,10,10,11,11,11,11,11,11,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,5,5,5,5,5,6,6,6,6,7,7,8,8,8,8,8,8,9,9,9,9,9,9,9,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,5,5,5,5,6,6,6,6,6,7,7,7,8,8,8,9,9,10,10,10,10,11,11,11,11,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,5,5,5,5,6,6,6,6,6,6,6,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,5,5,5,5,6,6,6,6,6,7,7,7,7,7,7,7,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,8,8,8,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,5,5,5,5,6,6,6,6,6,6,1,1,1,1,2,2,3,3,3,3,3,3,4,4,5,5,5,5,6,6,7,7,7,7,7,8,8,8,8,8,8,9,9,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,13,13,13,13,13,13,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,5,5,5,6,6,6,6,6,7,7,7,7,7,7,8,8,8,8,9,9,9,10,10,10,10,11,11,12,12,12,12,12,12,12,12,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,5,5,6,6,6,6,7,7,7,7,7,7,1,1,1,2,2,2,2,2,3,3,4,4,4,4,5,5,5,6,6,7,7,7,7,8,8,9,9,9,9,9,10,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,13,13,13,13,13,13,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,9,9,9,9,10,10,10,10,11,11,11,11,11,11,11,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,9,9,9,9,10,10,10,10,11,11,11,11,11,11,11,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,5,5,5,6,6,7,7,7,7,7,7,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,5,5,5,6,6,6,6,6,7,7,7,7,8,8,9,9,9,10,10,10,11,11,11,11,11,12,12,12,12,12,12,12,13,13,13,13,14,14,15,15,15,15,16,16,16,16,17,17,17,17,17,17,1,1,2,2,2,3,3,3,4,4,5,5,5,5,6,6,6,6,7,7,8,8,8,8,2,2,2,3,3,3,4,4,5,5,5,5,6,6,6,6,7,7,8,8,8,8,9,9,9,10,10,10,10,11,11,11,11,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,5,5,6,6,6,7,7,8,8,8,9,9,9,10,10,10,10,10,10,10,10,11,11,11,11,11,11,11,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,5,5,5,5,5,6,6,6,6,7,7,7,7,7,7,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,1,1,1,1,2,2,2,3,3,3,4,4,4,4,5,5,5,5,6,6,6,7,7,7,7,8,8,8,9,9,9,9,9,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,5,5,6,6,7,7,7,7,7,8,8,9,9,9,10,10,10,10,11,11,12,12,13,13,13,14,14,14,14,14,1,1,2,2,3,3,3,4,4,4,5,5,5,5,5,5,6,6,6,6,7,7,7,7,7,7,7,8,8,8,8,9,9,9,9,10,10,10,10,10,10,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,5,5,5,5,5,5,6,6,7,7,7,7,7,8,8,8,8,8,8,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,5,5,5,5,5,6,6,6,7,7,7,7,7,7,7,8,8,8,8,9,9,9,10,10,10,10,10,10,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,7,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,5,5,5,6,6,7,7,7,7,7,8,8,8,8,8,8,8,9,9,9,9,9,9,10,10,10,11,11,11,12,12,12,12,13,13,13,13,13,13,13,14,14,14,15,15,15,15,15,15,16,16,16,16,17,17,17,17,17,17,17,1,1,2,2,2,2,3,3,4,4,4,5,5,5,5,5,6,6,6,6,6,6,6,7,7,7,7,8,8,8,9,9,9,9,9,9,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,5,5,5,5,6,6,6,6,6,7,7,7,7,7,8,8,9,9,9,9,10,10,10,11,11,11,11,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,5,5,6,6,6,6,6,6,7,7,7,7,8,8,8,9,9,10,10,10,10,10,10,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,5,5,5,6,6,6,7,7,7,7,7,7,7,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,5,5,5,6,6,6,7,7,7,7,7,7,7,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,5,5,5,5,5,6,6,6,7,7,7,7,8,8,8,8,8,8,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,5,5,5,5,5,5,1,1,1,1,1,1,2,2,2,2,2,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,5,5,5,5,5,5,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,5,5,5,6,6,6,6,6,6,7,7,7,7,7,8,8,9,9,9,9,9,9,10,10,10,10,10,10,11,11,11,11,12,12,12,12,12,12,13,13,13,13,13,14,14,14,14,15,15,15,15,15,15,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,3,3,3,3,4,4,4,4,4,4,4,4,4,5,5,5,6,6,6,6,7,7,7,7,7,7,6,6,6,6,7,7,7,7,7,7,5,5,5,6,6,6,6,7,7,7,7,7,7,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,5,5,5,6,6,6,6,7,7,7,7,7,7,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,5,5,5,6,6,6,6,7,7,7,7,7,7,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,5,5,5,5,6,6,6,6,6,6,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,5,5,5,5,6,6,6,6,6,6,1,1,2,2,2,2,3,3,3,3,4,4,4,5,5,5,6,6,6,6,6,6,1,1,2,2,2,2,3,3,3,3,4,4,4,5,5,5,6,6,6,6,6,6,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,5,5,6,6,6,6,6,6,6,6,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,5,5,5,6,6,6,7,7,7,7,8,8,8,8,8,8,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,5,5,5,5,5,5,6,6,6,6,7,7,7,7,7,7,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,5,5,5,5,5,5,1,1,2,2,2,2,2,2,3,3,3,4,4,5,5,5,5,6,6,6,6,7,7,7,7,7,7,7,8,8,8,9,9,9,9,9,9,10,10,10,10,10,11,11,11,11,11,11,1,1,2,2,2,2,2,2,3,3,3,4,4,5,5,5,5,6,6,6,6,7,7,7,7,7,7,7,8,8,8,9,9,9,9,9,9,10,10,10,10,10,11,11,11,11,11,11,1,1,2,2,3,3,3,4,4,4,4,4,4,4,5,5,5,6,6,6,6,7,7,7,8,8,8,8,8,8,8,8,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,5,5,6,6,6,6,6,7,7,7,8,8,8,8,8,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,5,5,5,5,5,5,6,6,6,6,6,7,7,7,7,8,8,8,8,8,8,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,5,5,5,5,6,6,6,7,7,7,7,7,8,8,8,8,9,9,9,10,10,10,10,10,10,11,11,11,11,11,11,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,5,5,5,5,5,5,5,6,6,6,6,6,6,7,7,7,8,8,8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