LeetCode 427: Construct Quad Tree | C# Solution | Recursive Division

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📝 **PROBLEM OVERVIEW**
Solve the Quad Tree construction problem by recursively dividing a grid into four equal parts, detecting if each section can be represented as a single value. #quadtree #recursion #dividendconquer #csharp

⏱️ **COMPLEXITY**
- Time Complexity: O(n²) - we potentially need to visit every cell in the grid
- Space Complexity: O(log₄n) - recursion stack depth proportional to the number of quad tree levels

⏰ **TIMESTAMPS**
00:00 - Understanding problem statement
00:39 - Walking through examples
01:57 - Applying Divide and Conquer algorithm
04:24 - Calculating Big O Notation
05:51 - C# solution walk-through
07:00 - Solution analysis - runtime + memory

🧩 **KEY CONCEPTS**
- Quad Tree data structure
- Recursive division
- Grid processing
- Binary matrix representation

💡 **MAIN LEARNING POINTS**
- How to efficiently construct hierarchical tree structures
- Implementing recursive grid division strategies
- Optimizing leaf node detection
- Applying divide and conquer to 2D problems

🔗 **RELATED PROBLEMS**
- LeetCode 113: Path Sum II
- LeetCode 428: Serialize and Deserialize N-ary Tree
- LeetCode 558: Logical OR of Two Binary Grids Represented as Quad-Trees
- LeetCode 695: Max Area of Island

👥 **TARGET AUDIENCE**
- Software engineers preparing for technical interviews
- C# developers interested in tree data structures
- Anyone looking to improve their recursion and divide-and-conquer skills

📚 **PREREQUISITES**
- Basic understanding of recursion
- Familiarity with tree data structures
- C# programming fundamentals

🔍 **LINKS**

🙏 **CALL TO ACTION**
If you found this solution helpful, please like and subscribe for weekly LeetCode solutions in C#! Drop your questions or alternative approaches in the comments below.

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💻 Full Solution Code Available!
You can find the complete C# implementation for this problem on GitHub:

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