Write an \$n\$-bytes program that:
outputs an integer \$x,\ 0\lt x\lt n\$
is the output of both its first \$x\$ and last \$n-x\$ bytes run as programs
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...
Introduction
Imagine a scenario where users are loging in to a website with an email address and a phone number. Sometimes when a user returns, they identify themselves differently; changing either their email or their number.
How do we find the unique users behind the log ins?
Illustration: Here...
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, made of orthogonally con...
