How to draw a table with shared cells?

Question

Starting from such a table:

\documentclass{article}
\begin{document}

\begin{table}
\begin{tabular}{|l|c|c|}
\hline
               & Property 2 & Not property 2 \\
\hline
Property 1     & A          & B              \\
\hline
Not property 1 & C          & D              \\
\hline
\end{tabular}
\end{table}

\end{document}

Which gives this:

I would like to have a table where I have a multicell which covers A and B, so all the first row, and another multicell which covers A and C, so all the first column, like this:

The hard point here is that the cell A is shared between both X and Y, which is normal because it is a common property. So my problem is not about how to make multicolumn for the first nor multirow for the second, but how to make them overlap.

I though about making a Tikz figure instead in order to draw everything as I want, but considering that it is in essence a table, I wonder if it is possible to do it with the tabular environment, so I don't have to locate everything by hand in a figure.

Answer 1

I don't know whether I grasped your request, or what the table should mean.

Nevertheless I think this could be a possible solution, playing around with \cline and multicolumn

\documentclass{article}
\begin{document}

\begin{table}
\begin{tabular}{|l|c|c|}
\hline
               & Property 2 & Not property 2 \\
\hline
Property 1     & \multicolumn{2}{|c|}{Y}              \\
\cline{1-1}\cline{3-3}
Not property 1 & X          & D              \\
\hline
\end{tabular}
\end{table}

\end{document}