Question: Problem 2: In class we saw that comparison-based sorting algorithms must always make ( n log n ) comparisons to sort an array of n

Problem 2: In class we saw that comparison-based sorting algorithms must always make (nlogn) comparisons to sort an array of n elements.

Prove that any comparison-based algorithm must make (n) comparisons to find the median of an array of n elements.

Hint: One possible way to solve this problem is to assume that there is an algorithm that finds the median with o(n) comparisons and derive a contradiction.

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