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Add recursive factorial method with tests #12800

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khushipy
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Describe your change:

  • Added recursive implementations of Factorial in the recursion/ directory.
  • Included proper type hints, doctests, and error handling.
  • Added corresponding unit tests under recursion/tests/.
  • Each function includes a reference URL (Wikipedia) in the docstring.

Adheres to all TheAlgorithms/Python contribution guidelines.

  • 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:

  • 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 there is no recursion folder  #12142".

@algorithms-keeper algorithms-keeper bot added the tests are failing Do not merge until tests pass label Jun 19, 2025
@algorithms-keeper algorithms-keeper bot added the awaiting reviews This PR is ready to be reviewed label Jun 19, 2025
@khushipy
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My changes are limited to recursion/factorial.py. All related tests (recursion/tests/test_factorial.py) pass locally. The CI failures seem unrelated to this PR.

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there is no recursion folder
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