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Find a and b such that we get min|a-b| in O(n^2) by using brute force method. Now we need a c in such a manner that |b-c| and |c-a| are minimum. For this to happen we need a value c as close as possible to (a+b)/2 . We can find this c value using Binary search on C. Hence a possibe solution would be in O(n^2logn)
- sourabh September 16, 2014