Sparse metrix

[JitinSaxenaa]

📋 Pull Request Description

#182 hacktoberfestaccepted

What does this PR add?

• New algorithm implementation
• Data structure implementation
• New programming language support
• Language-specific README
• Bug fix
• Documentation improvement
• Test cases

Algorithm/Feature Details

• Name: Sparse Matrix
• Language: C++
• Category: Mathematical Algorithms
• Time Complexity:
  • Addition/Subtraction: O(n + m) where n and m are number of non-zero elements
  • Multiplication: O(r1 * c1 * c2) in naive implementation
• Space Complexity: O(number of non-zero elements)

Testing

• Code compiles without errors
• All test cases pass (example matrices correctly computed)
• Edge cases handled (empty matrices, fully zero matrices)
• Documentation updated

Additional Notes

• Implements basic sparse matrix operations: addition, subtraction, multiplication.
• Stores only non-zero elements to optimize space.
• Follows clean C++ coding standards and is beginner-friendly.
• Ready for Hacktoberfest contribution.

Proposed Location

CPP/algorithms/mathematical/sparse_matrix.cpp

PR Checklist

• Code follows language-specific style guidelines
• File is in the correct directory
• File name follows naming conventions
• Algorithm is well-documented
• Test cases are included
• No duplicate implementations
• Code is original work

[github-actions]

🎉 Welcome to Hacktoberfest 2025, @JitinSaxenaa! 🎃

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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