Question: Problem 3 [14 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

Problem 3 [14 marks] An inversion in an array A[1..n] is

Problem 3 [14 marks] An inversion in an array A[1..n] is a pair of indices (i,j) such that iA[j]. The number of inversions in an n-element array is between 0 (if the array is sorted) and n(n1) (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(nlogn) time. [Hint: Modify MergeSort. You need to change the Merge subroutine.]

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