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How to show that the complement of a language in $\mathsf P$ is also in $\mathsf P$? [duplicate]

If $L$ is a binary language (that is, $L \subseteq \Sigma = \{0,1\}^∗$) and $\overline{L}$ is the complement of $L$: How can I show that if $L \in \mathsf P$, then $\overline{L} \in \mathsf P$ as ...
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