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\problem{}
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\problem{}
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We say an integer $x$ is \textit{even} if $x = 2k$ for some $k \in \mathbb{Z}$.
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We say an integer $x$ is \textit{even} if $x = 2k$ for some $k \in \mathbb{Z}$.
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We say $x$ is \textit{odd} if $x = 2k + 1$ for some $k \in \mathbb{Z}$. \par
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We say $x$ is \textit{odd} if $x = 2k + 1$ for some $k \in \mathbb{Z}$. \par
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