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OK, now I see why this is hard, thanks. Now I'm gonna spend the next few days mulling over this problem :)

I noticed the problem is relatively easy if you're dealing with a linked list instead of an array, because you can easily move elements around. If there's some way to amortize that in the array case...



A linked list has O(n) extra space to play with, compared to an array, so of course everything is easier. You can't transfer algorithms from one to the other.




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