Solving Container With Most Water in O(n) with Two-Pointer Technique

Cracking the "Container With Most Water" Problem in O(n)! The "Container With Most Water" (LeetCode 11) is a fantastic problem that demonstrates the power and elegance of the Two-Pointer technique. While a brute-force approach checks every pair of lines in O(n^2), the optimal solution is a O(n) algorithm. The Two-Pointer Strategy: The area of the container is defined by: Area = min(height_L, height_R) x (index_R - index_L) Maximize Width First: Start the left pointer (L) at the beginning and the right pointer (R) at the end. This guarantees the maximum possible width. Iterative Optimization: We move the pointers inward, always aiming to potentially find a taller constraining line. The Key Insight: To find a larger area, we must increase the minimum height, because the width is guaranteed to shrink. Therefore, we always move the pointer associated with the shorter line. This simple rule ensures we only check meaningful configurations, leading to a linear time complexity. #Algorithms #DataStructures #CodingInterview #TwoPointers #LinearTime #SoftwareDevelopment #100daysofcode #leetcode

  • graphical user interface, application

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