You are given an integer array height of length n. There are n vertical lines drawn such that the two endpoints of the ith 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
Pseudocode
- two pointers, starting at both ends, find largest rectangle
- move the poitner with the lowest height to find another that is taller
Solution
var maxArea = function (height) {
let output = 0;
let left = 0;
let right = height.length - 1;
while (left < right) {
let width = right - left;
// choose the max, either from output of product of min height * width
output = Math.max(output, Math.min(height[left], height[right]) * width);
if (height[left] <= height[right]) {
left++;
} else {
right--;
}
}
// console.log(output)
return output;
};