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feat: add Depth first search #2815

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Description of Change

  • Added a new function to count the number of paths in a graph.
  • Implemented a test case to validate the functionality of the new function.
  • Improved documentation for better understanding of the algorithm.

Checklist

  • Added description of change
  • Added file name matches File name guidelines
  • Added tests and example, test must pass
  • Added documentation so that the program is self-explanatory and educational - Doxygen guidelines
  • Relevant documentation/comments is changed or added
  • PR title follows semantic commit guidelines
  • Search previous suggestions before making a new one, as yours may be a duplicate.
  • I acknowledge that all my contributions will be made under the project's license.

Notes: The new function counts the number of unique paths between two nodes in a graph. It can be particularly useful in graph-related problems where pathfinding is necessary.

@realstealthninja realstealthninja changed the title feat: add count_paths algorithm with a test case feat: add Depth first search Oct 12, 2024
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I've updated the algorithm and added more test cases as per the feedback received. Please review the latest changes. Thank you!

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Lgtm

@realstealthninja realstealthninja added approved Approved; waiting for merge hacktoberfest-accepted Accepted to be counted towards Hacktoberfest labels Oct 31, 2024
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