11. Container With Most Water

Problem

You are given an integer array height of length n. There are n vertical lines drawn such that the two endpoints of the $i^{th}$ line are (i, 0) and (i, height[i]).

Find two lines that together with the x-axis form a container, such that the container contains the most water.

Return the maximum amount of water a container can store.

Notice that you may not slant the container.

Example 1:

Input: height = [1,8,6,2,5,4,8,3,7]
Output: 49
Explanation: The above vertical lines are represented by array [1,8,6,2,5,4,8,3,7]. In this case, the max area of water (blue section) the container can contain is 49.

Example 2:

Input: height = [1,1]
Output: 1

Constraints:

• n == height.length
• $2 <= n <= 10^5$
• $0 <= height[i] <= 10^4$

Code

class Solution {
    public int maxArea(int[] height) {
        int max = 0;
        int left = 0;
        int right = height.length - 1;

        while(left < right){
            max = Math.max(max, (right - left) * Math.min(height[left], height[right]));
            if(height[left] > height[right]){
                right--;
            } else {
                left++;
            }
        }

        return max;
    }
}