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Update karatsuba_algorithm_for_fast_multiplication.cpp #2891

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Lakshya747
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Description of Change

Key Improvements:
1.Simplified add_strings: The addition function now directly calculates the carry and adds bits from right to left, handling overflow more clearly.
2.Handling Leading Zeros: The algorithm checks for special cases directly without needing to modify the strings multiple times.
3.Efficiency: The code uses std::stoll for conversions instead of character arithmetic when multiplying by constants like 1 and 0.
4.Code Clarity: The comments and structure have been cleaned up for better readability.

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.

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This pull request has been automatically marked as abandoned because it has not had recent activity. It will be closed if no further activity occurs. Thank you for your contributions.

@github-actions github-actions bot added the stale Author has not responded to the comments for over 2 weeks label Nov 30, 2024
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github-actions bot commented Dec 7, 2024

Please ping one of the maintainers once you commit the changes requested or make improvements on the code. If this is not the case and you need some help, feel free to ask for help in our Gitter channel or our Discord server. Thank you for your contributions!

@github-actions github-actions bot closed this Dec 7, 2024
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