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@Greenbank
Here's my Day 24 that should work nigh-on instantaneously for any valid Day 24 puzzle input. I haven't put the "how/why" in the code but you can find it elsewhere (/r/adventofcode for example).
https://gist.github.com/alexgreenbank/265a7fc88002e3be68c44d3bad06af64
Still working on my Day 23. Current code (in perl, which is generally slow for this kind of thing) gets the answer for both the example input and my input in about 5s but manages not to find the answer for some really simple input, so there's something still amiss there. Not sure whether to rewrite it in C or Go to make it a lot faster or find/fix the problem in Perl first.