11-Container-With-Most-Water.md

11. Container With Most Water

2022-02-23

You are given an integer array height of length n. There are n vertical lines drawn such that the two endpoints of the ithline 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

Solution

class Solution {
    func maxArea(_ height: [Int]) -> Int {
        guard height.count > 1 else {
            return 0
        }

        var left = 0
        var right = height.count - 1
        var area = 0
        while left < right {
            var h = 0
            if height[left] < height[right] {
                h = height[left]
                left += 1
            } else {
                h = height[right]
                right -= 1
            }
            area = max(area, (right - left + 1) * h)
        }
        return area
    }
}