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Problem Title

Difficulty: (Easy / Medium / Hard)
Category: (Arrays, Strings, Dynamic Programming, Graphs, etc.)
Leetcode Link: Problem Link

📝 Introduction

A brief introduction to the problem. Mention the key aspects, constraints, and expected output.

💡 Approach & Key Insights

Describe the main idea behind solving the problem. What observations lead to a solution? Mention brute force or naive approaches first, then discuss optimal solutions.

🛠️ Breakdown of Approaches

1️⃣ Brute Force / Naive Approach

  • Explanation: Describe the brute force solution and why it works.
  • Time Complexity: O(?) - Explanation
  • Space Complexity: O(?) - Explanation
  • Example/Dry Run:

Example input: [Insert example] Step 1 → Step 2 → Step 3 → Output

2️⃣ Optimized Approach

  • Explanation: Describe an optimized approach with clear reasoning.
  • Time Complexity: O(?) - Explanation
  • Space Complexity: O(?) - Explanation
  • Example/Dry Run:

Example input: [Insert example] Step 1 → Step 2 → Step 3 → Output

3️⃣ Best / Final Optimized Approach (if applicable)

  • Explanation: Discuss the best possible solution.
  • Time Complexity: O(?) - Explanation
  • Space Complexity: O(?) - Explanation
  • Example/Dry Run:

Example input: [Insert example] Step 1 → Step 2 → Step 3 → Output

📊 Complexity Analysis

Approach Time Complexity Space Complexity
Brute Force O(?) O(?)
Optimized O(?) O(?)
Best Approach O(?) O(?)

📉 Optimization Ideas

Are there any ways to further improve the solution? Can we reduce memory usage or optimize certain operations?

📌 Example Walkthroughs & Dry Runs

Use visuals, ASCII diagrams, or step-by-step breakdowns for clarity.

Example:
Input: 1 -> 2 -> 3 -> 4
Process:
1 -> Swap 2 & 3
2 -> Reverse half of list
3 -> Merge both halves
Output: 1 -> 3 -> 2 -> 4

🔗 Additional Resources

Author: Your Name Date: DD/MM/YYYY