Minimum Falling Path Sum on LeetCode

Day 8/100 of my #100DaysOfCode challenge! 🚀 Today's problem: "Minimum Falling Path Sum" - a dynamic programming challenge on LeetCode. 📌 The task: Given an n x n matrix, find the minimum sum of any falling path through the matrix, where from position (i, j) you can move to (i+1, j-1), (i+1, j), or (i+1, j+1). 💡 Key Insight: This is a classic dynamic programming problem where we build the solution row by row. For each cell in the current row, the minimum falling path sum is the cell's value plus the minimum of the three possible parent cells from the previous row. 🔧 Approach: Initialize the first row of DP table with the matrix's first row values For each subsequent row, compute each cell as its value plus the minimum of the three possible cells from the row above The answer is the minimum value in the last row ✅ Time Complexity: O(n²) ✅ Space Complexity: O(n²) (can be optimized to O(n) if needed) #LeetCode #DynamicProgramming #CodingChallenge #Algorithm #ProblemSolving #SoftwareEngineering #CareerGrowth #TechJourney

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