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\begin{equation*}\begin{array}{ccc}
H_0^{\epsilon}(X|Y)\equiv\min_{\Omega}\max_y\log|\{x:P_{X\Omega|Y=y}(x)>0\}|\\
H_{\infty}^{\epsilon}(X|Y)\equiv\max_{\Omega}\left(-\log\max_y\max_x P_{X\Omega|Y=y}(x)\right),
\end{array}\end{equation*}
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