LeetCode 45: Jump Game II | C# Solution | Dynamic Programming & Greedy Approach

📝 **Description:**
In this video, I solve the #jumpgame2 problem where we need to find the minimum number of jumps to reach the last index in an array. This classic #dynamicprogramming challenge can be optimized using a #greedy approach with O(n) time complexity and O(1) space complexity.

⏱️ **Time Complexity:** O(n) - Linear time
🧮 **Space Complexity:** O(1) - Constant space

## 📌 Timestamps:
00:00 - Understanding problem statement
01:10 - Brute Force approach
03:11 - Improving with DP
03:37 - DP - Big O Notation
04:07 - Optimal solution - Greedy Algorithm
06:31 - Big O Notation explained
07:00 - C# solution walk-through
07:55 - Solution analysis - runtime + memory

## 🔑 Key Concepts:
- Greedy algorithms
- Dynamic programming
- Array traversal
- Jump optimization
- BFS approach to array problems

## 📚 Learning Points:
- How to identify when a greedy approach can optimize a DP solution
- Tracking jump ranges efficiently
- Handling edge cases in jump problems
- Understanding the jump game pattern

## 🔄 Related Problems:
- LeetCode 55: Jump Game
- LeetCode 1306: Jump Game III
- LeetCode 1345: Jump Game IV
- LeetCode 1340: Jump Game V

## 👥 Target Audience:
This video is for intermediate programmers preparing for coding interviews, especially those focused on array manipulation problems and dynamic programming optimization.

## 📋 Prerequisites:
- Basic understanding of arrays
- Familiarity with dynamic programming concepts
- C# programming fundamentals

## 🔗 Links:

## 💡 Additional Tips:
- Pay special attention to the transition from DP to greedy approach
- Practice identifying the maximum reach at each position
- Focus on understanding why we don't need to check all possible jumps

## 🏁 Call to Action:
If you found this solution helpful, please hit the subscribe button and enable notifications to stay updated with more coding interview solutions. Drop your questions or alternative approaches in the comments section below!

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

🔍 Got Questions?
If any part of the solution needs clarification or if you have alternative approaches, drop a comment below! I’ll be happy to discuss.

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