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2,1,8,6,10,6,9,10,7,9,7,8,9,10,9,7,9,1,7,10,8,5,10,7,10,8,10,7,9,10,8,10,9,10,6,0,10,9,5,9,8,9,10,0,10,6,9,8,9,6,5,2,8,1,8,0,4,5,1,9,10,6,5,4,6,4,0,5,2,5,6,0,2,0,1,3,0,1,9,4,5,3,2,3,5,10,3,7,5,3,0,7,10,0,9,2,10,8,5,10,4,6,7,9,10,9,8,6,5,10,5,1,4,1,5,9,3,9,1,5,10,7,5,2,9,6,9,8,10,8,9,4,9,7,10,8,10,9,8,10,6,9,8,10,0,5,4,10,9,10,8,9,10,9,6,10,9,10,8,4,8,10,8,9,10,6,10,8,10,9,2,1,9,8,1,7,9,5,0,9,10,7,10,6,9,8,9,10,9,8,9,4,8,7,2,3,0,6,9,10,8,1,5,9,4,5,9,1,0,9,2,1,0,2,7,2,3,1,6,2,9,3,6,9,7,3,0,8,3,7,9,6,5,6,7,10,8,10,9,5,6,10,4,10,2,10,7,9,5,10,8,10,9,10,7,9,5,7,10,8,10,2,9,2,4,6,10,6,9,10,6,10,3,2,8,6,10,9,10,8,10,9,10,7,5,9,10,8,10,9,10,8,7,10,8,10,9,10,3,6,8,10,6,9,6,10,4,5,4,10,8,9,10,5,7,10,9,7,10,8,10,9,8,1,10,6,9,10,2,10,7,2,0,5,6,8,5,0,3,9,8,9,10,9,8,7,9,10,7,10,8,0,8,10,9,7,8,10,7,5,10,9,10,8,10,5,9,8,9,5,9,8,4,2,8,5,10,9,7,10,8,10,9,10,0,9,6,10,8,5,8,6,2,10,3,8,10,4,2,0,5,4,9,1,4,10,6,2,8,6,10,7,8,4,9,6,9,10,9,8,6,10,8,9,5,6,3,7,3,9,10,8,10,9,10,6,8,4,0,2,10,2,5,8,7,10,7,6,10,9,10,8,10,5,10,8,9,10,9,0,9,7,10,8,6,10,8,9,6,3,5,10,4,6,4,1,2,1,0,1,6,0,10,3,1,0,3,0,8,2,10,2,1,4,0,2,6,8,2,8,10,9,6,9,8,9,10,9,1,9,7,10,9,7,9,0,9,8,3,0,8,6,8,9,7,1,10,7,10,9,5,8,10,9,6,9,1,2,9,7,5,10,8,1,10,6,1,5,4,6,9,10,4,1,5,1,2,8,4,2,3,0,4,7,0,1,0,2,1,2,5,4,0,3,9,3,2,3,1,8,7,10,2,3,8,6,7,10,9,3,10,8,0,5,9,6,7,10,4,10,8,9,1,9,7,6,8,7,6,10,9,8,10,9,7,5,10,1,9,1,4,0,6,7,8,0,3,0,1,0,6,1,4,0,7,2,7,5,10,8,2,4,8,10,9,10,5,10,9,2,7,5,7,10,9,1,5,9,10,8,1,10,8,10,9,10,5,10,8,10,9,10,2,10,1,9,10,4,5,0,2,8,10,8,9,7,8,2,0,3,1,10,7,8,4,8,10,9,0,6,10,5,4,8,10,9,5,10,9,10,7,10,9,5,0,10,5,9,5,10,8,10,9,7,10,9,10,8,10,9,10,4,10,9,10,6,4,10,6,7,10,8,6,8,0,10,4,7,3,9,7,10,8,10,9,3,10,8,10,9,7,10,8,7,1,10,9,7,10,8,7,9,1,4,10,6,0,1,9,10,5,10,9,1,9,4,10,7,9,10,8,9,1,0,1,5,8,0,1,3,2,7,10,6,3,9,10,5,9,2,10,9,1,10,2,10,9,10,8,10,6,9,10,8,10,1,10,4,9,10,8,10,9,10,6,10,9,10,3,6,10,9,2,6,9,10,7,6,0,6,4,10,8,9,4,7,5,7,9,8,6,10,9,10,8,10,0,1,10,6,4,2,0,1,9,5,7,6,9,8,10,8,0,7,9,4,0,1,0,2,0,10,7,5,3,8,7,3,9,10,5,7,9,4,3,0,1,5,3,10,3,9,10,1,0,1,6,9,0,1,2,4,2,1,0,6,0,9,0,1,0,7,5,0,5,2,1,9,3,5,2,4,10,4,9,1,2,10,8,10,1,8,10,5,1,3,7,4,0,10,7,10,8,7,5,6,10,9,0,2,8,10,8,4,9,10,8,1,9,10,9,6,10,9,10,4,10,8,7,10,9,10,8,1,7,10,4,3,2,1,6,8,1,6,7,10,8,6,8,9,10,2,9,7,9,8,10,9,7,5,9,8,10,6,7,3,2,6,7,8,10,8,4,6,4,10,8,7,1,0,2,9,0,6,0,1,0,2,8,9,4,3,0,3,9,0,1,3,1,0,8,0,1,4,2,10,4,3,7,8,9,10,0,10,5,7,6,10,4,9,8,10,8,9,8,10,3,10,0,9,7,9,10,8,0,10,6,0,2,5,2,3,5,4,8,6,2,0,2,8,4,0,2,0,1,4,2,1,0,9,4,1,0,3,0,1,5,0,3,4,8,1,7,0,1,9,7,10,9,6,0,10,8,4,0,2,3,0,1,6,0,5,6,5,1,7,9,8,2,1,8,6,0,1,8,2,9,0,8,9,7,6,5,6,1,4,10,1,9,10,8,9,5,7,10,8,10,9,10,4,10,1,9,10,9,6,8,4,2,9,6,8,6,1,7,1,0,2,9,7,0,10,7,10,6,10,2,0,8,2,0,4,1,2,4,0,5,10,9,7,0,9,10,9,7,8,10,9,10,8,1,4,10,0,7,0,4,8,2,6,8,10,6,5,9,0,5,6,1,2,4,1,3,0,2,4,1,3,1,5,3,8,10,8,4,5,1,3,4,5,10,5,7,4,0,8,6,8,10,0,3,2,4,2,0,4,1,7,5,2,0,1,0,4,1,0,7,0,1,0,2,1,0,4,0,1,2,0,1,5,7,2,0,1,3,7,10,3,2,0,4,2,1,2,0,1,8,1,3,2,0,3,1,0,1,2,4,0,7,2,6,1,0,2,5,1,9,8,10,5,4,7,4,2,0,9,2,3,4,5,10,8,10,6,10,3,9,6,3,0,4,7,0,1,7,9,4,0,4,6,2,1,5,7,5,1,0,3,1,0,1,5,2,0,3,0,2,6,5,4,2,1,3,2,10,4,9,3,7,6,0,4,1,6,9,7,9,1,9,5,10,3,1,8,6,2,6,3,6,4,0,3,4,1,4,10,7,9,7,6,7,2,3,7,2,0,2,1,0,6,8,9,3,10,9,8,10,8,7,3,8,10,6,9,8,10,9,0,1,9,10,8,10,1,9,10,7,9,5,2,0,5,2,7,8,6,3,1,0,2,5,4,1,0,1,2,4,10,1,0,1,2,3,1,5,1,2,1,8,7,6,4,10,6,0,1,0,3,5,10,1,7,5,9,2,10,8,3,7,2,0,4,1,6,9,1,10,6,10,9,10,4,9,10,9,8,2,10,8,10,4,3,4,1,7,9,8,2,4,5,9,10,7,8,6,10,8,9,10,8,10,7,9,10,8,10,2,5,9,2,10,9,7,10,3,0,6,5,7,9,7,8,4,2,0,1,0,3,2,6,1,0,6,8,4,2,3,1,2,3,6,9,7,10,4,9,6,2,4,0,5,8,10,4,7,5,9,1,8,6,8,10,8,5,10,8,10,6,10,9,10,8,10,9,10,5,7,9,7,1,8,10,6,10,5,4,0,4,9,7,9,8,10,2,6,10,6,9,8,10,9,10,7,8,0,10,3,5,9,6,10,8,6,2,5,10,2,7,3,10,7,0,4,0,2,5,1,2,3,7,9,10,5,9,7,4,8,4,9,10,1,4,9,10,9,8,9,7,3,9,10,9,8,10,5,10,7,10,9,10,4,2,10,9,5,6,4,0,3,9,1,9,5,8,10,8,9,10,8,10,5,10,9,10,5,6,8,9,1,10,4,10,9,8,4,9,10,9,8,10,9,10,6,9,10,9,8,10,9,10,3,4,7,9,10,9,4,10,9,7,10,9,5,10,9,1,7,0,7,6,5,9,5,6,10,4,9,7,8,10,9,6,9,7,10,8,10,9,3,10,9,5,9,1,6,2,10,8,9,5,1,0,1,8,10,7,5,9,10,8,9,3,10,6,8,9,10,8,4,10,0,10,9,3,5,9,10,9,8,9,5,9,0,8,7,0,9,8,2,8,4,5,0,1,3,1,10,8,1,0,4,0,1,7,3,1,5,4,10,7,8,2,6,7,6,10,8,9,10,8,2,3,10,9,8,4,8,10,7,10,9,10,6,9,0,9,10,5,10,8,9,10,9,6,10,9,3,10,9,10,8,10,9,7,9,0,9,2,8,9,10,9,2,10,4,10,8,5,1,3,5,10,5,7,10,6,1,6,10,9,10,6,8,9,7,4,10,5,8,1,9,10,4,9,6,10,2,10,4,1,5,2,5,9,0,5,6,9,10,3,1,3,4,6,2,9,7,8,6,10,6,9,6,8,4,8,5,2,1,4,1,8,6,10,6,4,8,1,0,2,0,1,0,4,1,0,6,10,1,4,0,1,2,6,0,10,3,10,6,9,1,10,7,5,9,10,8,10,4,10,7,4,10,9,1,3,10,6,2,0,2,4,9,5,6,10,8,10,9,8,9,6,3,10,8,9,10,9,6,8,10,6,8,4,8,3,1,3,9,5,9,7,2,6,0,2,0,1,2,1,6,10,5,9,0,2,1,9,2,10,8,7,5,1,7,8,9,2,10,8,10,9,6,10,8,10,6,1,6,0,10,7,10,9,10,0,2,7,0,4,6,4,8,4,6,1,0,2,3,1,3,9,1,8,3,0,2,0,1,3,4,8,0,4,0,2,1,0,2,6,1,0,2,3,6,7,6,2,10,5,3,2,5,6,2,10,9,8,3,2,10,6,10,8,7,8,1,8,10,7,5,0,9,1,3,1,2,1,4,5,1,10,9,3,10,6,10,3,10,9,2,6,10,8,9,10,3,10,4,1,3,1,4,7,9,3,5,9,7,10,2,6,10,9,1,3,0,1,5,2,10,2,3,1,2,0,2,3,1,2,4,8,10,7,8,1,6,2,10,4,5,3,1,9,6,5,0,1,2,0,6,1,3,0,1,0,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4,0,1,8,0,3,10,4,10,5,10,8,10,6,10,2,5,6,10,9,8,9,5,7,9,10,9,8,10,9,3,7,8,9,7,9,3,6,9,8,10,5,6,10,6,7,5,1,2,6,0,3,5,9,6,9,10,8,7,9,8,4,8,6,10,6,9,8,3,7,0,8,9,6,5,7,9,8,5,9,7,2,0,2,3,8,4,10,8,7,0,3,0,2,7,2,0,4,9,0,3,0,6,5,7,8,7,9,8,10,4,3,6,10,2,10,8,9,7,8,5,1,6,4,0,4,5,2,9,7,5,1,9,10,8,9,5,7,5,8,2,1,3,6,8,3,9,6,8,9,8,10,9,10,5,9,10,2,5,10,8,10,9,10,7,8,10,9,10,4,10,7,2,8,2,10,9,10,2,7,8,10,9,10,7,6,10,1,10,8,6,10,6,1,0,1,7,10,8,5,8,10,2,7,1,5,6,10,7,5,6,0,1,0,6,7,3,2,6,7,5,10,8,4,9,8,3,0,1,0,4,1,6,0,4,1,10,0,6,3,1,0,9,3,8,9,1,9,4,8,10,8,2,6,2,1,5,6,1,0,1,5,0,5,9,0,7,5,3,4,2,1,2,0,6,1,0,1,2,0,6,5,4,0,8,9,6,7,1,3,6,0,1,0,7,5,8,5,0,1,0,2,1,3,2,0,1,0,2,8,3,0,4,3,8,9,0,7,1,0,5,2,0,3,1,5,3,0,5,0,10,6,8,10,6,4,7,9,0,6,8,7,9,10,9,2,8,10,8,9,7,8,9,8,10,9,7,10,1,9,0,5,8,10,0,1,2,7,4,1,4,10,9,6,9,4,9,10,1,9,7,2,0,8,4,8,5,3,8,10,7,9,3,8,9,10,8,7,10,9,10,8,9,10,3,10,7,9,10,9,6,10,6,3,8,2,7,6,10,2,9,10,5,9,10,9,8,9,5,9,10,7,3,7,6,9,8,5,10,9,2,0,10,2,10,9,5,10,3,2,9,3,1,8,4,0,2,0,5,10,8,10,4,0,8,10,8,6,2,9,1,2,0,8,2,1,5,1,2,6,0,4,8,4,0,10,2,5,9,10,9,6,4,8,10,8,5,10,8,10,9,8,10,1,9,7,9,2,8,1,3,5,9,5,6,9,6,10,9,8,9,1,8,7,4,5,2,1,9,0,6,7,9,5,6,9,3,2,3,0,9,1,5,3,1,0,1,2,0,5,0,1,0,3,0,2,0,10,3,2,4,6,4,3,10,5,9,10,6,9,3,10,6,1,9,5,1,2,7,1,7,9,3,0,9,8,10,3,2,1,0,6,1,3,5,9,3,10,0,3,4,2,0,1,0,2,0,3,1,0,2,7,2,0,1,2,1,3,1,2,6,5,1,0,2,6,0,1,0,2,0,1,0,4,1,0,1,6,0,2,0,1,0,2,0,3,9,6,10,3,0,1,0,2,0,3,2,0,6,2,3,10,4,7,9,8,1,3,1,4,3,10,1,10,9,5,10,6,10,5,9,2,3,4,3,8,7,6,3,5,0,3,1,7,10,2,10,9,2,3,10,2,3,2,0,1,4,7,10,4,0,5,10,4,9,4,3,6,9,8,9,10,9,5,6,9,10,9,8,9,10,6,8,10,2,7,1,9,8,6,10,7,4,7,5,3,4,5,9,6,1,8,4,8,7,10,7,9,10,0,1,8,1,5,7,4,0,3,5,4,2,5,8,3,7,3,2,1,3,9,10,8,9,1,0,8,5,8,6,3,1,2,1,4,2,4,0,1,0,2,5,1,0,3,6,2,4,7,8,0,1,2,6,4,6,9,7,9,10,0,6,1,0,8,10,8,2,6,2,1,9,4,1,8,3,0,2,3,1,3,5,4,5,8,7,3,9,10,7,3,2,3,8,0,9,10,8,4,10,3,6,9,8,5,8,9,7,8,10,8,1,5,10,0,9,8,2,6,10,1,7,3,1,3,5,10,1,6,2,9,1,3,1,9,7,10,8,10,9,8,2,8,3,10,9,1,10,8,10,7,10,9,10,5,10,9,8,2,9,7,9,6,9,5,4,6,4,9,8,10,0,9,3,2,6,5,4,0,10,0,2,6,0,3,1,0,2,4,0,2,3,4,8,0,9,10,3,10,7,4,5,8,5,0,1,9,2,9,8,10,6,9,8,10,9,10,6,10,9,10,8,4,9,6,9,2,5,9,10,8,10,2,5,1,9,5,4,5,2,0,5,2,10,6,8,9,10,0,5,9,10,7,8,0,10,8,9,8,10,6,10,8,10,9,10,8,4,9,10,8,9,10,9,7,8,0,10,9,8,9,6,10,8,9,7,1,8,1,0,10,5,8,5,10,7,9,10,5,10,9,4,9,10,8,5,3,1,3,2,1,10,8,4,8,1,7,10,4,10,5,8,10,7,10,9,10,0,6,7,9,8,10,9,6,8,4,9,0,6,0,4,7,6,3,1,3,5,4,9,10,6,4,10,3,1,4,6,5,1,7,9,6,8,9,8,7,9,1,10,8,4,5,4,1,0,3,5,2,7,4,0,2,0,1,8,1,6,1,8,10,5,7,6,5,9,6,7,6,1,3,5,4,2,8,3,9,3,5,10,9,8,10,9,10,7,6,9,10,7,8,0,4,9,10,5,4,9,3,0,3,10,5,0,2,8,2,4,0,1,8,6,5,7,9,5,9,8,10,9,10,4,1,8,10,4,6,0,2,7,8,0,2,0,6,3,1,2,0,1,0,4,0,1,0,2,7,3,0,2,0,3,0,4,0,2,8,7,4,1,8,6,5,6,9,10,8,10,1,3,1,2,7,8,7,10,2,4,5,9,3,7,6,10,8,10,9,7,9,4,6,10,9,5,7,3,4,10,5,3,4,1,0,9,2,3,7,8,3,0,5,1,8,2,0,3,6,3,7,4,0,2,7,8,10,4,5,3,9,10,8,9,10,9,3,7,9,8,4,10,3,2,6,0,7,3,1,10,9,7,9,8,10,8,7,10,7,5,10,8,10,2,0,7,10,9,6,7,10,7,1,8,9,10,8,9,5,10,9,7,9,10,9,8,10,9,10,6,3,7,10,4,9,0,10,9,6,10,9,10,5,6,8,2,0,3,10,5,1,10,9,10,1,8,2,9,2,1,2,0,1,3,0,2,5,6,4,10,9,1,9,2,1,3,2,1,0,2,0,7,5,0,2,0,1,3,5,4,9,3,9,10,3,0,6,10,8,9,1,10,8,6,10,6,3,8,2,8,10,9,0,9,8,9,10,3,2,1,0,2,6,9,0,10,1,10,9,4,9,10,8,9,2,10,8,0,10,5,8,4,10,8,5,10,9,10,8,7,0,10,9,8,10,8,7,5,9,4,6,4,7,1,0,9,7,3,9,10,8,9,7,0,10,7,10,8,7,10,9,10,5,10,6,10,7,5,7,0,6,8,9,7,8,5,6,10,9,10,8,10,9,0,4,10,9,10,6,10,4,10,9,10,8,7,10,9,10,8,10,9,10,4,10,8,9,8,10,4,8,9,7,8,10,8,0,8,4,8,5,10,9,7,9,10,9,8,7,8,10,9,5,1,7,2,9,10,6,7,3,0,8,1,9,6,0,1,0,4,1,5,10,9,10,8,10,9,1,2,6,9,7,9,10,8,5,6,2,1,0,1,5,3,6,1,3,0,1,7,2,9,7,8,0,5,8,7,8,10,9,5,8,0,9,10,9,8,7,5,7,10,9,10,8,6,9,7,10,4,10,9,10,2,7,9,8,1,3,9,10,8,6,10,5,10,2,0,2,1,0,10,7,4,10,9,6,1,8,10,7,9,10,9,8,4,9,10,1,8,10,1,9,6,10,9,10,2,1,9,8,3,8,9,7,5,1,9,5,9,2,1,3,9,10,5,2,1,3,1,2,5,7,5,2,3,0,1,0,3,4,7,4,3,0,10,1,0,6,3,4,6,10,4,7,3,6,10,3,10,8,9,7,8,10,7,10,6,3,6,5,6,2,5,4,2,0,2,4,9,3,5,8,7,5,0,6,3,9,8,10,9,6,9,10,9,7,6,1,3,9,10,9,8,10,6,8,1,10,9,10,8,10,9,10,7,8,10,6,10,7,10,8,2,7,10,8,10,9,2,9,4,5,4,2,4,3,5,9,5,7,9,5,4,9,4,10,1,8,2,0,1,7,4,8,10,1,6,0,2,7,10,3,1,7,9,7,10,8,10,6,10,9,0,10,7,9,10,9,4,9,6,10,9,10,8,9,10,9,7,6,9,10,6,10,3,10,9,7,9,8,0,3,10,9,10,7,10,9,10,4,9,10,1,9,10,6,9,2,5,2,3,10,6,1,7,8,6,8,9,7,9,8,9,10,8,7,9,10,7,3,6,8,10,9,8,9,5,10,9,10,8,10,9,10,7,9,10,8,4,10,8,10,6,10,8,10,9,8,10,2,10,0,7,8,7,9,10,5,10,8,10,9,8,2,10,8,9,10,9,4,10,8,10,9,10,8,10,7,8,10,9,10,3,10,8,10,9,7,10,9,3,5,4,0,7,1,10,8,10,3,10,9,10,3,7,2,5,3,0,1,7,10,8,10,4,8,2,8,10,9,10,6,9,10,9,8,9,10,9,4,7,9,4,10,8,10,1,9,10,9,8,10,8,2,0,4,10,6,10,7,8,10,8,9,3,7,10,8,4,10,9,10,7,10,9,10,6,8,10,9,10,8,10,4,5,10,8,2,5,8,10,4,7,10,9,10,8,10,4,9,10,8,10,6,10,3,10,9,10,8,9,7,6,0,2,6,10,2,4,7,8,9,3,1,6,0,2,6,3,2,1,3,2,8,7,5,6,0,2,3,9,0,4,9,6,3,8,10,8,4,6,4,5,7,10,8,10,9,8,10,6,10,0,5,9,0,9,7,1,0,3,1,6,5,6,8,1,7,8,10,9,7,6,8,10,6,9,10,9,8,7,1,10,9,6,10,7,6,9,10,8,10,9,10,6,9,10,0,10,9,10,8,9,4,2,8,2,1,2,7,10,9,10,8,10,9,10,4,9,6,10,9,4,0,10,8,7,10,3,9,10,9,2,10,7,2,3,2,1,2,8,10,9,10,5,10,6,5,9,4,5,7,0,2,7,1,0,2,1,3,1,4,8,10,7,1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  "submitter": "David Renshaw",
  "created_at": "2026-09-09 01:34:28",
  "comments": [
    {
      "author": "David Renshaw",
      "created_at": "2026-09-09 01:34:28",
      "content": "Start from word 482, the 7031-letter word on {0,...,8}. Scale both axes of its prefix-sum graph to 15790 letters, subtract its mean line, recenter at mean 5, and round down. Weighted prefix-coordinate repair (seed 100007) yields a valid 15790-letter word. Reverse it, stretch the centered graph to 25000 letters, and repair (100205). Stretch that word to 40000 letters and repair in three rounds (100702, 101403, 101601), reversing before the last round. All three projections have radius zero: their increments already lie in 0..10. Every repair maintains those increment bounds; exact commands and intermediate snapshots are retained in the search report. Reverse the valid word and apply randomized suffix DFS with seed 101751 to reach 40030 letters. Independently checked all 400,600,225 adjacent equal-length block pairs; the word uses exactly {0,...,10}. Eight later trials targeting 50000-100000 letters failed with 300-second search budgets, including two focused follow-ups of the closest 50000-letter candidates. Final forward/reverse 180-second suffix searches gained at most 30 letters beyond 40000. This supports diminishing returns for this search portfolio; no mathematical upper bound is claimed."
    }
  ]
}