Let $f(x)$ be a non-constant twice differentiable function defined on $(-\infty, \infty)$ such that

Question

Let $f(x)$ be a non-constant twice differentiable function defined on $(-\infty, \infty)$ such that $f(x)=f(1-x)$ and $f^{\prime}\left(\frac{1}{4}\right)=0$. Then,

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(a, b, c, d)\