this post was submitted on 05 May 2024
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Good for you. I think I'd figure it out eventually, but it would certainly take me a while.
I'd probably be trying a number of approaches, including the recursive one. Renaming pegs is a critical piece that you'd have to realise you can do, and you can't be sure you have a correct inductive solution unless you actually walk through the first few solutions from the base instance.