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    $\begingroup$ There shouldn't be a need to bifurcate that deeply, but the logic holds as far as I see $\endgroup$
    – bobble
    Commented Jan 16, 2023 at 21:55
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    $\begingroup$ I haven't tried hard to optimize the solution. I am extremely unsurprised that more efficient solution-paths are possible :-). $\endgroup$
    – Gareth McCaughan
    Commented Jan 16, 2023 at 23:30