IMO Shortlist 1995 problem NC7


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2. travnja 2012.
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Does there exist an integer n > 1 which satisfies the following condition? The set of positive integers can be partitioned into n nonempty subsets, such that an arbitrary sum of n - 1 integers, one taken from each of any n - 1 of the subsets, lies in the remaining subset.
Izvor: Međunarodna matematička olimpijada, shortlist 1995