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KöMaL 2019 B5043

    Prove that the set {1,2,3,4,5,6,7,8,9,10,11,12,13}\{1,2,3,4,5,6,7,8,9,10,11,12,13\} has an odd number of nonempty subsets in which the arithmetic mean of the elements is an integer.

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