Added Count Inversions algorithm (Merge Sort based)#12696
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usman-7455 wants to merge 2 commits intoTheAlgorithms:masterfrom
Open
Added Count Inversions algorithm (Merge Sort based)#12696usman-7455 wants to merge 2 commits intoTheAlgorithms:masterfrom
usman-7455 wants to merge 2 commits intoTheAlgorithms:masterfrom
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mindaugl
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Apr 30, 2025
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mindaugl
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Would be appropriate to change interface and return both sorted array and number of inversions (currently 'count_inverstions()' returns only number of inversions). For counting inversions, there is no need to construct new sorted array, and the algorithm is simpler. Also, would be appropriate to change the name of file to, e.g., merge_count_inversions_sort.py.
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Describe your change:
This pull request adds a Python implementation of the Count Inversions algorithm using a modified Merge Sort approach.
Count Inversions is used to determine how far an array is from being sorted by counting the number of out-of-order pairs (i, j) such that i < j and arr[i] > arr[j]. This has applications in ranking systems, bioinformatics, and measuring list similarity.
Checklist:
Count_Inversion.py; I can rename it tocount_inversion.pyif needed.)Wikipedia link: https://en.wikipedia.org/wiki/Inversion_(discrete_mathematics)