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
• Justification: The lines at index 1 and 4 form the container with the most water. The width is 3 * (4-1), and the height is determined by the shorter line, which is 3. Thus, the area is 3 * 3 = 9.

Example 2:

• Input: [5,2,4,2,6,3]
• Expected Output: 20
• Justification: The lines at index 0 and 4 form the container with the most water. The width is 5 * (4-0), and the height is determined by the shorter line, which is 5. Thus, the area is 5 * 4 = 20.

Example 3:

• Input: [2,3,4,5,18,17,6]
• Expected Output: 17
• Justification: The lines at index 4 and 5 form the container with the most water. The width is 17 * (5-4), and the height is determined by the shorter line, which is 17. Thus, the area is 17 * 1 = 17.

Constraints:

• n == height.length
• 2 <= n <= 10⁵
• 0 <= height[i] <= 10⁴

Try it yourself

Try solving this question here: