MINIMUM PATH SUM 2 | LEETCODE : 1289 | DP ON GRIDS | DP CONCEPTS |

🎯 Problem: Minimum Falling Path Sum II | Dynamic Programming Explained 💡

In this video, we solve the popular Leetcode problem **"Minimum Falling Path Sum II"** using various Dynamic Programming techniques:

Problem Link : https://leetcode.com/problems/minimum-falling-path-sum-ii/description/
Solution Link : https://github.com/proteinCoder/dynamic_programming/blob/main/minimum_falling_path_sum_2.cpp

✅ Plain Recursion
✅ Memoization (Top-Down DP)
✅ Tabulation (Bottom-Up DP)
✅ Space Optimization
✅ Fully Optimized Approach using Two-Minimums Trick (O(n * m) time)

We explain the logic step-by-step with clean C++ code and time complexity analysis for each method.

📚 Problem Statement:
Given a square matrix of integers, find the minimum falling path sum starting from any element in the first row and moving down to the last row. You can only move to a different column in the next row.

🔍 Key Concepts Covered:
- Recursion
- DP with Memoization
- Tabulation
- Time & Space Optimization Techniques
- Clean & Efficient C++ Implementation

💻 Code Explained Line-by-Line
📈 Time Complexity Comparison
🧠 Suitable for beginners to advanced level

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#HappyCoding 🚀

Видео MINIMUM PATH SUM 2 | LEETCODE : 1289 | DP ON GRIDS | DP CONCEPTS | канала proteinCoder