Course Solutions Uncategorized (Solved) : 2 10 Marks Lecture Looked Two Sequences Numbers Measured Similarity Counting Number Invers Q31642233 . . . .

(Solved) : 2 10 Marks Lecture Looked Two Sequences Numbers Measured Similarity Counting Number Invers Q31642233 . . . .

 

Please give a divide and conquer algrithom that runs in0(nlogn).

2. (10 marks) In lecture we looked at two sequences of numbers and measured their similarity by counting the number of inversions. As in lecture we will consider a sequence of n numbers xi,r2,... , n which we assume are all distinct. We defined an inversion to be a pair i < j such that a, > aj. In this situation, we make the definition of an inversion coarser and now call a pair an inversion if ai > 2a, Give an O(nlogn) algorithm to count the number of coarse inversions.

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