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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