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Add Hirschberg algorithm for longest common subsequence - #15455

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KHG420 wants to merge 1 commit into
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KHG420:codex/hirschberg-algorithm

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@KHG420

@KHG420 KHG420 commented Sep 28, 2026

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Describe your change

  • Add an algorithm?
  • Fix a bug or typo in an existing algorithm?
  • Add or change doctests? -- Note: Please avoid changing both code and tests in a single pull request.
  • Documentation change?

Add Hirschberg's algorithm for reconstructing a longest common subsequence with linear-size dynamic programming rows. The repository already has a full-table LCS implementation; this adds the divide-and-conquer approach with a different space complexity. Reference: https://en.wikipedia.org/wiki/Hirschberg%27s_algorithm

Validation:

  • python3 -m doctest -v dynamic_programming/hirschberg_algorithm.py (9 passed)
  • uvx --from pytest pytest dynamic_programming/hirschberg_algorithm.py --doctest-modules -q (3 passed)
  • uvx ruff check dynamic_programming/hirschberg_algorithm.py (passed)
  • uvx ruff format --check dynamic_programming/hirschberg_algorithm.py (passed)
  • Compared LCS length and subsequence validity with the existing implementation for 3,969 string pairs.

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 Python files are placed inside an existing directory.
  • All filenames are in all lowercase characters with no spaces or dashes.
  • All functions and variable names follow Python naming conventions.
  • All function parameters and return values are annotated with Python type hints.
  • All functions have doctests that pass the automated testing.
  • All new algorithms include at least one URL that points to Wikipedia or another similar explanation.
  • If this pull request resolves one or more open issues, then the description above includes the issue number(s) with a closing keyword: "Fixes #ISSUE-NUMBER".

@algorithms-keeper algorithms-keeper Bot added the awaiting reviews This PR is ready to be reviewed label Sep 28, 2026

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