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Describe your change:
[x] 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?
Checklist:
[x] I have read CONTRIBUTING.md.
[x] This pull request is all my own work -- I have not plagiarized.
[x] I know that pull requests will not be merged if they fail the automated tests.
[x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms.
[x] All new Python files are placed inside an existing directory.
[x] All filenames are in all lowercase characters with no spaces or dashes.
[x] All functions and variable names follow Python naming conventions.
[x] All function parameters and return values are annotated with Python type hints.
[x] All functions have doctests that pass the automated testing.
[x] 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".
Description:
Added the Needleman-Wunsch algorithm for optimal global sequence alignment to the bioinformatics directory.
Changes:
Implemented needleman_wunsch DP matrix filling and traceback.
Added comprehensive docstrings, including matching/mismatch/gap penalty logic.
Included passing doctests for validation.
Strictly adhered to pure Python (no external dependencies).
Added type hinting for all functions.