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This solves the actual the puzzle, in the case where two plumbers (you
and the elephant) can't reach all the valves in time. But it doesn't
work for the test case, where you can, and it has to look for the most
efficient split of resources.
So, I got the gold star, but I wanted to create a full solution before
committing it. Obviously that didn't happen at the time. Might as well
commit what I have now, and look at improving it with a later fix.
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Only tried it with test data before, where we don't need the permutation
pruning system. If you enable it with live data, it prevents any
permutations from being skipped, so it takes forever.
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That was a tough one. Still takes 2.5s on my hardware. Should be able to
multithread the permuation search at some point, if I want to.
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