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Suppose that we have a set of n distinct numbers that we wish to sort. The numbers are given in some arbitrary order. Each such

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Suppose that we have a set of n distinct numbers that we wish to sort. The numbers are given in some arbitrary order. Each such order represents a possible input. Show that every comparison-sort algorithm takes (n log n) time, not just in the worst case, but for almost all inputs. Specifically show that the best conceivable algorithm can't even handle on of all possible inputs in little on log n) time

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