Let $f(x)=4{x}^{2}-4ax+{a}^{2}-2a+2$ be a quadratic polynomial in $x$, $a$ be any real number If exactly one root of $f(x)=0$ lies in the interval $x\in (0,2)$ and $0$ and $2$ are not the roots of the equation, then the value of $a$ lies in

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