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\documentclass{standalone}
\usepackage{cartonaugh}
\begin{document}
% test default(should only draw on 0th submap)
\begin{cartonaugh}[4][4][1]
\implicantcorner
\end{cartonaugh}
\begin{cartonaugh}[4][4][2]
\implicantcorner
\end{cartonaugh}
\begin{cartonaugh}[4][4][4]
\implicantcorner
\end{cartonaugh}
% draw on 0th and 2nd submaps(when possible)
\begin{cartonaugh}[4][4][1]
\implicantcorner[0,2]
\end{cartonaugh}
\begin{cartonaugh}[4][4][2]
\implicantcorner[0,2]
\end{cartonaugh}
\begin{cartonaugh}[4][4][4]
\implicantcorner[0,2]
\end{cartonaugh}
% draw multiple different implicants
\begin{cartonaugh}[4][4][1]
\implicantcorner[0]
\end{cartonaugh}
\begin{cartonaugh}[4][4][2]
\implicantcorner[0]
\implicantcorner[1]
\end{cartonaugh}
\begin{cartonaugh}[4][4][4]
\implicantcorner[0]
\implicantcorner[1]
\implicantcorner[2]
\implicantcorner[3]
\end{cartonaugh}
\end{document}
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