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What is Counting Inversions with Merge Sort about?

The document proposes two algorithms for counting inversions in an array: a brute force O(n^2) algorithm that compares all pairs of elements, and a more efficient O(nlogn) divide-and-conquer algorithm that leverages merging in merge sort to count split inversions between halves of the array during the merge step. The second algorithm works by recursively sorting and counting inversions in halves of the array, and using the merge step to discover additional split inversions between the halves.

Author

Salman Ahmed

Language

EN