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Given a function f:N→Nf:\mathbb N \to \mathbb Nf:N→N which is strictly increasing and satisfies f(f(x))=3xf\big(f(x)\big) = 3xf(f(x))=3x for all xxx, find f(16)f(16)f(16).
Notation: N\mathbb N N denotes the set of positive integers.
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