Solved House Robber Problem in Java Using DP

🚀 DSA Progress Update: Solved “House Robber” Problem in Java! 🏠💰 Today, I tackled another classic Dynamic Programming challenge — the House Robber problem — a beautiful blend of logic, recursion, and optimization. 🔹 Problem Statement: You are a professional robber planning to rob houses along a street. Each house has a certain amount of money, but adjacent houses are connected with security systems — robbing two neighboring houses triggers the alarm! 👉 The goal: Find the maximum money you can rob without alerting the police. 🔹 Approach Used: Used Top-Down Dynamic Programming (Memoization) to optimize recursion. At each step, you face two choices — 1️⃣ Rob the current house and skip the next one. 2️⃣ Skip the current house and consider the next. By caching results for each index, redundant recalculations are avoided, achieving O(n) time complexity. 🔹 Connection to 0/1 Knapsack: This problem is conceptually a special case of the 0/1 Knapsack problem 🎒 Both involve binary choices (take or skip) to maximize a total value under specific constraints. In Knapsack, the constraint is total weight capacity. In House Robber, the constraint is adjacency — you can’t rob two neighboring houses. That’s why the House Robber problem is often called the “linear version” of Knapsack, showcasing the same decision-making pattern in a simplified setup. 🔹 Key Learnings: Recognized the “include vs. exclude” pattern — the foundation of many DP problems. Learned how memoization can turn exponential recursion into linear-time efficiency. Strengthened my understanding of optimal substructure and state transitions in DP. ✨ This problem was a great reminder that Dynamic Programming is not about memorizing formulas — it’s about recognizing patterns of choice and optimization. 💡 #DSA #DynamicProgramming #Java #ProblemSolving #Knapsack #HouseRobber #LeetCode #CodingJourney #SpringBoot #TechJourney #DailyLearning #CrackTheCode #GrowthMindset

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