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Solving the Nerd-Sniping Problem: When Electronics meets Heat!

I recently stumbled upon this exciting problem from XKCD, aptly named as the Nerd-Sniping Problem: True to its name, it successfully managed to derail me from whatever it was that I was doing. The problem itself is quite curious, we have to find resistance between two points in an infinite lattice of ideal 1-ohm resistors.

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