Add optimized C++ solution for Number Spiral (CSES 1071) — Hacktoberfest 2025

[Aditya12604]

Description
This PR adds a C++ solution for the CSES problem:
"Number Spiral" (Problem 1071)

Problem Link: https://cses.fi/problemset/task/1071/

Added full problem statement, explanation, time complexity, and test cases

Code is cleanly structured with descriptive comments and a self-contained main() for testing

Folder Structure
Placed under: CPP/patterns/Pattern/NumberSpiral_CSES1071.cpp

Highlights

O(1) time complexity

O(1) space complexity

Includes sample input and expected output

Readable and consistent variable naming

Matches repo’s contribution style

Test Cases
Includes two example test cases with expected outputs inside the file.

Hacktoberfest
This PR is made for Hacktoberfest 2025.

[github-actions]

💎 Code Quality Check Results

⚠️ Insufficient Comments

These files have very few comments:

• CPP/patterns/Pattern/NumberSpiral_CSES1071.cpp

Recommended: Add inline comments explaining the logic and key steps

📚 Quality Standards

To maintain high quality, every contribution should include:

1. ✍️ Algorithm Description

   • Explain what the algorithm does
   • Describe the approach and methodology
   • Include use cases or applications

2. 📊 Complexity Analysis

   • Time complexity (e.g., O(n log n))
   • Space complexity (e.g., O(n))
   • Brief explanation of why

3. 💬 Meaningful Comments

   • Explain complex logic
   • Document function parameters
   • Add inline comments for clarity

4. ✅ Test Cases/Examples

   • Demonstrate the code works
   • Show different input scenarios
   • Include edge cases

💡 Example Template

"""
Binary Search Algorithm

Description: Searches for a target value in a sorted array using divide-and-conquer

Time Complexity: O(log n) - halves search space each iteration
Space Complexity: O(1) - only uses constant extra space
"""

def binary_search(arr, target):
    # Initialize pointers
    left, right = 0, len(arr) - 1

    while left <= right:
        mid = (left + right) // 2

        # Check if target found
        if arr[mid] == target:
            return mid
        # Search right half
        elif arr[mid] < target:
            left = mid + 1
        # Search left half
        else:
            right = mid - 1

    return -1  # Not found

# Test cases
if __name__ == "__main__":
    test_arr = [1, 3, 5, 7, 9]
    print(binary_search(test_arr, 5))  # Output: 2
    print(binary_search(test_arr, 6))  # Output: -1

🔧 How to Fix

1. Review each file mentioned above
2. Add the missing documentation
3. Push your changes
4. The workflow will re-run automatically

💪 You've Got This!

These checks help maintain quality and make your contribution more valuable to learners. Thank you for taking the time to improve! 🙏

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Quality over quantity - let's build something amazing together! 🌟

[github-actions]

🎉 Welcome to Hacktoberfest 2025, @Aditya12604! 🎃

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

[Aditya12604]

Hi maintainers! 👋

Please ignore or close this PR — I’ve opened a clean, updated version with only the intended file changes here:
👉 #689

This old one accidentally included commits from my previous work.

Thank you for understanding and reviewing the correct PR instead!