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Design and analyze an on log n time algorithm to count the

Significant Inversions: We are given a sequence of n arbitrary but distinct real numbers < a1 , a2 , ··· , an > .

We define a significant inversion to be a pair i < j such that ai > 2 aj.

Design and analyze an O(n log n) time algorithm to count the number of significant inversions in the given sequence.

Hint: Use divide-&-conquer.

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