Add Aho-Corasick algorithm implementation

[Sphinxcastor]

This pull request introduces a comprehensive implementation of the Aho-Corasick algorithm for pattern searching in C++. It adds a well-documented, modular, and example-driven source file, updates the documentation to include algorithm explanations and usage, and registers the contribution appropriately.

Algorithm Implementation and Documentation:

• Added a fully featured AhoCorasick class in aho_corasick.cpp with clear comments, multiple usage examples (including DNA sequence and overlapping pattern matching), and a debug printing method. The implementation covers trie construction, failure and dictionary links, and efficient pattern searching.
• Updated README.md to include detailed explanations of the Aho-Corasick algorithm, its steps, key concepts, applications, and usage examples, as well as references for further reading.

Project Contribution Tracking:

• Registered the new aho_corasick.cpp algorithm in the contributor's participation record.…tails

[github-actions]

🎉 Welcome to Hacktoberfest 2025, @Sphinxcastor! 🎃

Thank you for your first contribution to our DSA repository! Here's what happens next:

🔍 Automatic Checks

• ✅ Code Validation: Passed
• 🧪 Compilation Tests: Passed

📋 Next Steps

🎯 Great job! Your code compiled successfully. Maintainers @Karanjot786 and @Pradeepsingh61 will review your PR soon.

🎁 What You Get

• 🏆 Hacktoberfest Credit: This PR counts toward your 6 PR goal for exclusive T-shirt + Tree!
• 🌟 Hall of Fame: You'll be featured in our contributors list
• 📚 Learning: Code review feedback from experienced developers

💡 Tips for Success

• Follow our Contributing Guidelines
• Add comments explaining your algorithm
• Include time/space complexity analysis
• Test your code before submitting

Welcome to the community! 🚀

[github-actions]

🤖 Automated PR Status

🔍 Code Validation

✅ Passed - File naming and structure look good!

🧪 Compilation Tests

✅ Passed - All code compiles successfully!

📋 Overall Status

🎉 Ready for Review - Your PR has passed all automated checks!
👥 Maintainers have been notified for review.

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[Karanjot786]

merge it now

[github-actions]

🎉 Welcome to Hacktoberfest 2025, @Sphinxcastor! 🎃

Thank you for your first contribution to our DSA repository! Here's what happens next:

🔍 Automatic Checks

• ✅ Code Validation: Passed
• 🧪 Compilation Tests: Passed

📋 Next Steps

🎯 Great job! Your code compiled successfully. Maintainers @Karanjot786 and @Pradeepsingh61 will review your PR soon.

🎁 What You Get

• 🏆 Hacktoberfest Credit: This PR counts toward your 6 PR goal for exclusive T-shirt + Tree!
• 🌟 Hall of Fame: You'll be featured in our contributors list
• 📚 Learning: Code review feedback from experienced developers

💡 Tips for Success

• Follow our Contributing Guidelines
• Add comments explaining your algorithm
• Include time/space complexity analysis
• Test your code before submitting

Welcome to the community! 🚀

[github-actions]

🤖 Automated PR Status

🔍 Code Validation

✅ Passed - File naming and structure look good!

🧪 Compilation Tests

✅ Passed - All code compiles successfully!

📋 Overall Status

🎉 Ready for Review - Your PR has passed all automated checks!
👥 Maintainers have been notified for review.

---

This comment was generated automatically. Checks will re-run when you push new commits.