FINDING THE MEDIAN REQUIRES 2n COMPARISONS.

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Abstract

A long-standing problem in the analysis of algorithms is to determine the number of comparisons needed to find the t-th largest element in a totally ordered universe of size n. Finding the median is a special case of this problem. The authors review some previous results and then use some simple techniques to strengthen one of these results, obtaining an improved lower bound for the problem.

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Bent, S. W., & John, J. W. (1985). FINDING THE MEDIAN REQUIRES 2n COMPARISONS. In Conference Proceedings of the Annual ACM Symposium on Theory of Computing (pp. 213–216). ACM (Order n 508850). https://doi.org/10.1145/22145.22169

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