Container with most water

class Solution:
    def maxArea(self, height: List[int]) -> int:
        l = 0
        r = len(height) - 1
        res = 0

        while l < r:
            res = max(res, (r - l) * min(height[l], height[r]))
            if height[l] < height[r]:
                l += 1
            else:
                r -= 1
        return res

Container With Most Water

Difficulty: Medium


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

 

Constraints:

  • n == height.length
  • 2 <= n <= 105
  • 0 <= height[i] <= 104