Nice function...

Algebra Level 5

Let f:NNf : \mathbb N \mapsto \mathbb N be a function such that f(n+1)>f(n)f (n + 1) > f (n) and f(f(n))=3nf (f (n)) = 3n for all nNn\in\mathbb{N}. Evaluate f(2001)f (2001).

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