Question: Given input n, Jim has an unsorted array A of nn items and he needs to perform O(logn) search operations on A. He has two

Given input n, Jim has an unsorted array A of nn items and he needs to perform O(logn) search operations on A. He has two algorithms in mind to achieve this:

Algorithm one: Sort A using merge sort and then perform all of O(logn) search operations using binary search.

Algorithm two: Perform all of O(logn) search operations directly on A using linear search.

Present the running times of each of the two algorithms separately and select the algorithm you would suggest to Jim by determining which one is asymptotically faster.

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