Function Difficult
2016


Problem - 3947

Let $f$ be a function from $\mathbb{N}$ to $\mathbb{N}$ such that

(i) $f(1)=0$

(ii) $f(2n)=2f(n)+1)$

(iii) $f(2x+1)=2f(n)$

Find the least value of $n$ such that $f(n)=2016$.


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