Container With Most Water Problem Solution

🚀 Day 5 – DSA Daily Series Today’s Problem: Container With Most Water (LeetCode 11) Today I worked on this interesting problem and really enjoyed the process of figuring out the optimal approach. 🧠 Problem Given an array height where each element represents the height of a vertical line, we need to find two lines that together with the x-axis can form a container that holds the maximum amount of water. The amount of water the container can hold depends on: • The shorter height between the two lines • The distance between them Formula used: Area = min(height[i], height[j]) × (j - i) 💡 Approach At first glance, it may look like we need to check all pairs of lines, which would lead to a brute-force O(n²) solution. Instead, I used the Two Pointer technique: • Start with one pointer at the beginning and another at the end of the array • Calculate the area between them • Keep track of the maximum area found • Move the pointer pointing to the smaller height, since moving the larger one won’t increase the area This makes the solution much more efficient. ⏱ Complexity Time Complexity: O(n) Space Complexity: O(1) 🔎 Key Learning Problems like this are interesting because they show how the right observation can reduce a brute-force solution into a much more efficient one using patterns like Two Pointers. Continuing the DSA Daily Series — one problem at a time. 🚀 #DSA #LeetCode #Python #Algorithms #ProblemSolving #CodingJourney

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