Let \(f(x)\) be a polynomial function of minimal degree such that
\[
\begin{align*}
f(1) &= 1 \\
f(2) &= 2 \\
f(3) &= 3 \\
&\vdots \\
f(2016) &= 2016 \\
f(2017) &= 1.
\end{align*}
\]
Find the value of \(\big|f(2018)\big| \! \pmod{1000}.\)

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