IMO Shortlist 2011 problem A5


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23. lipnja 2013.
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Prove that for every positive integer n, the set \{2,3,4,\ldots,3n+1\} can be partitioned into n triples in such a way that the numbers from each triple are the lengths of the sides of some obtuse triangle.

Proposed by Canada
Izvor: Međunarodna matematička olimpijada, shortlist 2011