11. Container With Most Water

Problem

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You are given an integer array height of length n. There are n vertical lines drawn such that the two endpoints of the i$^t$$^h$ 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$^6$
  0 <= height[i] <= 10$^4$

Solution

/**
 * @param {number[]} height
 * @return {number}
 */

var maxArea = function(height) {
    let max = 0;
    let l = 0;
    let r = height.length - 1;

    while (l < r) {
      max = Math.max(max, Math.min(height[l], height[r]) * (r - l));

      if (height[l] < height[r]) {
        l++
      } else {
        r--;
      }
    }
    
    return max;
  };