<p>At this point, we've both spent quite some time thinking about tighter bounds for <code>MinDistance()</code> and <code>MaxDistance()</code>, but I think the code here is fine for now.  So, I can merge this now (after making a final check over the code), and we can open a ticket for tighter bounds and consider that in some other PR once we come up with better bounds.  What do you think?</p>

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