Let $Q_{n+1}(x)=Q (Q _{n}(x)), Q_{1}(x)=Q (x)$ for all positive integers $n$.

Consider all polynomials $Q (x)$ with integer coefficients such that $Q_{2015} (x)-x$ has a positive integer root $p$. Find the minimum value of $(p+1)^{2}-Q_{2014}(p)$ .

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