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Container with Most Water

Container with Most Water

Given an array of the heights of vertical lines, find two lines that, together with the horizontal axis, form a container that holds the most water.

Statement

Given an array of heights, which represents the heights of vertical lines drawn on a graph. Find two lines that form a container that holds the most water when combined with the horizontal axis. The height of this container will be the shorter of the two lines:

Note: We cannot tilt any water containers.

Example

Example 1

Sample input

The array below represents the heights of the vertical lines:

[1, 8, 6, 2, 5, 4, 8, 3, 7]

Expected output

49

Example 2

Sample input

The array below represents the heights of the vertical lines:

[1, 1]

Expected output

1

Constraints

The height variable below represents an array of heights of the vertical lines.

2 <= height.length <= 100
0 <= height[i] < 100

Try it yourself

#include <iostream>
#include <vector>
using namespace std;
int MaxWaterAreaContainer(vector<int>& height) {
// TODO: Write - Your - Code
return -1;
}

Solution

We’ll use the following formula to calculate the area of water a container can hold:

Area = ...