Recall the problem of finding the number of inversions. As in the text, we are given a sequence of n numbers a₁,. which we assume are all distinct, and we define an inversion to be a pair i aj. We motivated the problem of counting inversions as a good measure of how different two orderings are. However, one might feel that this measure is too sensitive. Let's call a pair a significant inversion if i < j and 6 > 2a. Give an Otlog n) algorithm to count the number of significant inversions between two orderings.

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