Don't answer 13

Algebra Level 4

\[\large{\begin{align} f(2013)&=1\\ f(2014)&=1\\ f(2015)&=2\\ f(2016)&=3\\ f(2017)&=5\\ f(2018)&=8 \end{align}}\]

Let \(f(x)\) be a \(5^\text{th} \) degree polynomial satisfying the equations above. Find \(f(2019)\).

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