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Grokking the Coding Interview: Patterns for Coding Questions
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Solution: Container With Most Water

Problem Statement

Given an array of non-negative integers, where each integer represents the height of a vertical line positioned at index i. You need to find the two lines that, when combined with the x-axis, form a container that can hold the most water.

The goal is to find the maximum amount of water (area) that this container can hold.

Note: The water container's width is the distance between the two lines, and its height is determined by the shorter of the two lines.

Examples

Example 1:

  • Input: [1,3,2,4,5]
  • Expected Output: 9

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