Re: another interesting but harder problem
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Holy crap, that is easily the fastest correct solution that I have seen, and I have posed this to many very smart people. You haven't seen this before?
In any event, this is exactly the response I was looking for.
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it seemed like a natural thing to look at, except that at first I thought that the perimeter of the boundary would be increasing in time. After I tried some small cases and saw that the opposite was in fact true, the proof quickly followed [img]/images/graemlins/smile.gif[/img]
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