Yet Another Remainder Problem!

Number Theory Level pending

\[ \begin{vmatrix} 2014^{2014} & 2015^{2015} & 2016^{2016} \\ 2017^{2017} & 2018^{2018} & 2019^{2019} \\ 2020^{2020} & 2021^{2021} & 2022^{2022} \end{vmatrix} \] Find the remainder when the determinant above is divided by 5.

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