> If someone can translate my algorithm into a non-side-effecting one,
> I'd appreciate it, but I think that like disjoint set/union, this is
> probably inherently side-effecting.  Yes, yes, we could use functional
> arrays, but short of that I don't see a way to avoid side effects to
> take care of my amortized work.

I am just working on a side-effect-free version.
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