IMO Shortlist 1996 problem A8


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2. travnja 2012.
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Let \mathbb{N}_0 denote the set of nonnegative integers. Find all functions f from \mathbb{N}_0 to itself such that
f(m + f(n)) = f(f(m)) + f(n)\qquad \text{for all} \; m, n \in \mathbb{N}_0.
Izvor: Međunarodna matematička olimpijada, shortlist 1996