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feat: add Fenwick Tree implementation with tests#1897

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tanjumul wants to merge 1 commit into
TheAlgorithms:masterfrom
tanjumul:add-fenwick-tree
Open

feat: add Fenwick Tree implementation with tests#1897
tanjumul wants to merge 1 commit into
TheAlgorithms:masterfrom
tanjumul:add-fenwick-tree

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@tanjumul
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Describe your change:

  • Add an algorithm?
  • Fix a bug or typo in an existing algorithm?
  • Documentation change?

Checklist:

  • I have read CONTRIBUTING.md.
  • This pull request is all my own work -- I have not plagiarized.
  • I know that pull requests will not be merged if they fail the automated tests.
  • This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms.
  • All new JavaScript files are placed inside an existing directory.
  • All filenames should use the UpperCamelCase (PascalCase) style. There should be no spaces in filenames.
    Example: UserProfile.js is allowed but userprofile.js,Userprofile.js,user-Profile.js,userProfile.js are not
  • All new algorithms have a URL in their comments that points to Wikipedia or another similar explanation.
  • If this pull request resolves one or more open issues then the commit message contains Fixes: #{$ISSUE_NO}.

Summary

This PR adds a Fenwick Tree (Binary Indexed Tree) implementation to the Data-Structures/Tree directory and the test files as well.

Features

  • Point updates in O(log n)
  • Prefix sum queries in O(log n)
  • Range sum queries in O(log n)
  • Build tree from existing array
  • Get/Set operations

Testing

  • Comprehensive unit tests included
  • Edge cases covered (empty tree, single element, negative values)

@tanjumul tanjumul requested a review from appgurueu as a code owner May 15, 2026 14:07
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Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 85.95%. Comparing base (5c39e87) to head (e4a046e).

Additional details and impacted files
@@            Coverage Diff             @@
##           master    #1897      +/-   ##
==========================================
+ Coverage   85.91%   85.95%   +0.03%     
==========================================
  Files         379      380       +1     
  Lines       19778    19834      +56     
  Branches     3016     3028      +12     
==========================================
+ Hits        16993    17049      +56     
  Misses       2785     2785              

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2 participants