Question: Problem 2 (12 marks] An inversion in an array A[1..n) is a pair of indices (i, j) such that i A[j]. The number of inversions

Problem 2 (12 marks] An inversion in an array A[1..n) is

Problem 2 (12 marks] An inversion in an array A[1..n) is a pair of indices (i, j) such that i A[j]. The number of inversions in an n-element array is between 0 (if the array is sorted) and n(n-1) (if the array is sorted backwards). Describe and analyze a recursive algorithm to count the number of inversions in an n-element array in O(n log n) time. (Hint: Modify MergeSort. You need to change the Merge subroutine.]

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