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The last digits are zero...

Source: 2016 All-Russian Olympiad,Problem 9.5

June 7, 2016
number theorySum

Problem Statement

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.
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