# A difficult 2018 problem

Algebra Level 4

$f(x)$ is a cubic polynomial such that $f(1)=\color{#D61F06} {2}$, $f(2)=\color{#D61F06} {0}$, $f(3)=\color{#D61F06} {1}$, and $f(4)=\color{#D61F06} {8}$.

What is $f(\color{#3D99F6} {2018})$?

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