1993 IMO Problems/Problem 5

Problem

Let $\mathbb{N} = \{1,2,3, \ldots\}$ . Determine if there exists a strictly increasing function $f: \mathbb{N} \mapsto \mathbb{N}$ with the following properties:

(i) $f(1) = 2$ ;

(ii) $f(f(n)) = f(n) + n, (n \in \mathbb{N})$ .

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1993 IMO Problems/Problem 5

Problem

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