LeetCode #1411: Dynamic Programming Challenge

Day 3: The Reality of the "Hard" Label. 🧠 Today was a humbling reminder that growth isn't always a straight line. I tackled LeetCode #1411 (Number of Ways to Paint N × 3 Grid), and it took me the entire day to truly grasp the logic. As a beginner in Dynamic Programming, I faced multiple failed attempts and head-scratching moments. But after internalizing the state transitions, I finally got that "Accepted" screen. The Challenge: Find the number of ways to paint an n*3 grid using 3 colors such that no two adjacent cells have the same color. My Approach (State-Space DP): State Generation: First, I generated all possible valid configurations for a single row (out of 27 combinations, only 12 are valid). Adjacency Map: I built a neighbours list to determine which row configurations can follow each other without breaking the color constraints. Memoization: Used a recursive solve function with a memo table to store results of subproblems and avoid redundant calculations. Handling Large Numbers: Used long and MOD (10^9 + 7) to prevent integer overflow. Complexity: Time: O(n * S^2) where S is the number of valid states (12). Space: O(n * S) for the memoization table. It’s currently a "brute-force" DP approach, and I know there are further mathematical optimizations (O(log n)), but today was about understanding the concept over the shortcut. I'll be back to optimize this once my DP foundation is stronger! 📂 GitHub Repo: https://lnkd.in/g-RMsp6a If you're also struggling with DP, keep pushing. The "aha!" moment is worth the struggle. #Java #DynamicProgramming #LeetCode #BuildingInPublic #SoftwareEngineering #JadavpurUniversity #100DaysOfCode

  • graphical user interface, application

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