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feat(searches): Add Floyd's Cycle-Finding Algorithm#13609

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AdityaK60 wants to merge 5 commits intoTheAlgorithms:masterfrom
AdityaK60:feat/add_floyds_cycle_finding_algorithm
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feat(searches): Add Floyd's Cycle-Finding Algorithm#13609
AdityaK60 wants to merge 5 commits intoTheAlgorithms:masterfrom
AdityaK60:feat/add_floyds_cycle_finding_algorithm

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Describe your change:

This pull request introduces an implementation of Floyd's Cycle-Finding Algorithm, also known as the "Tortoise and Hare" algorithm. This well-known algorithm is used to efficiently detect a cycle in a sequence of iterated values and also finds the cycle's starting point and length.

The file floyds_cycle_finding.py has been added to the searches/ directory.

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

Signed-off-by: Aditya Kumar <aditya.kumar60@infosys.com>
@algorithms-keeper algorithms-keeper bot added the require descriptive names This PR needs descriptive function and/or variable names label Oct 20, 2025
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Click here to look at the relevant links ⬇️

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def floyds_cycle_finding(
f: Callable[[Any], Any], x0: Any

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Please provide descriptive name for the parameter: f

@algorithms-keeper algorithms-keeper bot added the awaiting reviews This PR is ready to be reviewed label Oct 20, 2025
@algorithms-keeper algorithms-keeper bot removed the require descriptive names This PR needs descriptive function and/or variable names label Oct 20, 2025
@AdityaK60 AdityaK60 force-pushed the feat/add_floyds_cycle_finding_algorithm branch from dbc879a to 77a3dd9 Compare October 20, 2025 05:34
…rithm

Signed-off-by: Aditya Kumar <aditya.kumar60@infosys.com>
@AdityaK60 AdityaK60 force-pushed the feat/add_floyds_cycle_finding_algorithm branch from 44efada to 0dd6821 Compare October 20, 2025 05:37
@algorithms-keeper algorithms-keeper bot added the tests are failing Do not merge until tests pass label Oct 20, 2025
@AdityaK60 AdityaK60 force-pushed the feat/add_floyds_cycle_finding_algorithm branch from 1ce9e37 to 1354285 Compare October 22, 2025 04:21
Signed-off-by: Aditya Kumar <aditya.kumar60@infosys.com>
@AdityaK60 AdityaK60 force-pushed the feat/add_floyds_cycle_finding_algorithm branch from 1354285 to 19aca57 Compare October 22, 2025 04:25
@algorithms-keeper algorithms-keeper bot removed the tests are failing Do not merge until tests pass label Oct 22, 2025
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