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Group shapes together
Consider the following binary matrix:
$$\begin{matrix}
1 & 0 & 1 \\
1 & 0 & 0 \\
0 & 1 & 1
\end{matrix}$$
The (1-indexed) co-ordinates of the \$1\$s here are \$(1,1), (1,3), (2,1), (3, 2), (3, 3)\$. We can also notice that there are three "shapes" of \$1\$s in the matrix, ma...