Question: Consider comparison-based algorithms for finding the median element in an unsorted list of n elements. What is a lower bound for the number of comparisons

Consider comparison-based algorithms for finding the median element in an unsorted list of n elements. What is a lower bound for the number of comparisons required? Justify your lower bound. Suppose instead we decide that a purely comparison-based algorithm is not necessary. Our unsorted list contains integers in the range 0 to n^2 . Can you use Counting Sort or Radix Sort to find the median in O(n) time? Justify your answer. What algorithm is asymptotically faster than these two options?

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