# Fitting Functions

Algebra Level 2

Let $$f$$ be a function defined on integers such that $$f\left( 0 \right) =0$$, $$f\left( 2n+1 \right) =f\left( n \right) -1$$ and $$f\left( 2n \right) =-2f\left( n \right)$$. Find the value of $$f\left( 10 \right)$$.

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