# f(2014)

Level pending

Let $$f$$ be a function defined on non-negative integers satisfying the following conditions: $f(2n+1)=f(n)$ $f(2n)=1-f(n)$

Given that $$f(2014)$$ can be written as $$\frac{a}{b}$$, where $$a$$ and $$b$$ are coprime positive integers. Find $$a+b$$

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