Question: [Divide and conquer: counting inversions] Consider the Counting Inversions problem studied in class. (Problem definition: count the number of inversions in a given a of

[Divide and conquer: counting inversions] Consider the Counting Inversions problem studied

[Divide and conquer: counting inversions] Consider the Counting Inversions problem studied in class. (Problem definition: count the number of inversions in a given a of items a_1, a_2, ..., a_n; we say two indices i a_j.) First outline the algorithm for solving this problem using the divide-and-conquer approach. Then, develop a recurrence relation expression the run-time T(n) (n: the number of items in the input list) and derive the running-time complexity by solving the recurrence relation using telescoping. A formal proof of the running time complexity may be omitted

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