IMO Shortlist 2010 problem N5


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23. lipnja 2013.
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Find all functions g:\mathbb{N}\rightarrow\mathbb{N} such that
\left(g(m)+n\right)\left(g(n)+m\right)


is perfect square for all m,n\in\mathbb{N}.

Proposed by Gabriel Carroll, USA
Izvor: Međunarodna matematička olimpijada, shortlist 2010