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this post was submitted on 28 Jul 2024
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It's the Four Color Theorem.
And well, it's actually mathematically proven, but not for maps with disjointed regions that need to be colored the same, such as Alaska + mainland USA.
(In that particular case, it's not too difficult to resolve, but you don't get a guarantee for it.)
The map in the post actually merges such disjointed regions, though, so it absolutely should work there.