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RU-ALLRUSSIAN 2016 Problem 95

    Using each of the digits 1,2,3,…,8,91,2,3,\ldots ,8,9 exactly once,we form nine,not necassarily distinct,nine-digit numbers.Their sum ends in nn zeroes,where nn is a non-negative integer.Determine the maximum possible value of nn .

    Dataset text AI-MO AoPS. Quoted with source.

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