IMO Shortlist 2018 problem C1


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3. listopada 2019.
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Let n\geqslant 3 be an integer. Prove that there exists a set S of 2n positive integers satisfying the following property: For every m=2,3,...,n the set S can be partitioned into two subsets with equal sums of elements, with one of subsets of cardinality m.

Izvor: https://www.imo-official.org/problems/IMO2018SL.pdf