Fitting Functions

Algebra Level 2

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

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