LeetCode 198 House Robber: Dynamic Programming Solution Explained

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LeetCode problem 198, House Robber, challenges developers to find the maximum sum of non-adjacent elements in an integer array. The constraint is that no two consecutive houses can be robbed, simulating a security system that alerts police if adjacent homes are broken into on the same night. The solution uses dynamic programming, building a running array that tracks the maximum loot obtainable up to each house. At each step, the algorithm picks the greater value between robbing the current house plus the best result two steps back, or skipping the current house. Edge cases for arrays of size zero, one, and two are handled separately before the main loop executes.

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