# Inspiration

Algebra Level 4

$\begin{array}m n & f(n) \\ 0 & 1 \\ 1 & 2 \\ 2 & 16 \\ 3 & 216 \\ 4 & 4096\end{array}$

Given that $$f(n)$$ is a $$4^\text{th}$$ degree polynomial satisfying the relationship as shown above, find $$f(5)$$.

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