Solved LeetCode 42: Trapping Rain Water in Java with O(n) complexity

I solved LeetCode 42: Trapping Rain Water in Java, and it turned out to be one of those problems that looks straightforward at first but hides deep lessons in algorithm design and optimization. The problem asks you to calculate how much water can be trapped between bars of different heights after it rains. It sounds simple, but when you try to implement it, you realize how easily brute-force approaches break down. My initial solution used nested loops to check how much water could be trapped at every index. It worked but ran with O(n²) time complexity, which quickly became inefficient for large inputs. That is when I shifted toward precomputation. The key idea is to figure out how much water each bar can hold by knowing the tallest bar to its left and right. Once that information is known, the amount of trapped water at any position is simply the minimum of those two maximum heights minus the height of the bar itself. To make this efficient, I created two arrays: maxLeft[i] stores the tallest bar to the left of index i. maxRight[i] stores the tallest bar to the right of index i. This approach brought the time complexity down to O(n) while keeping the logic simple and elegant. This problem taught me that performance improvements often come from rethinking the way you process information. Precomputation, caching, and avoiding repetitive operations are not just algorithmic tricks. They are the same concepts that drive efficiency in backend engineering, database optimization, and system design. In many ways, this problem reflects real-world engineering. It is not about how fast you can write code, but how effectively you can anticipate what the system will need before it needs it. That mindset is what separates good developers from great ones. What is one problem that helped you truly understand the balance between simplicity and optimization? #Java #Programming #SoftwareDevelopment #ProblemSolving #Algorithms #Coding #DSA #LeetCode #Engineering #SystemDesign

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