Container With Most Water

Problem Statement

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.

Leetcode Link

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

Code

Python Code

class Solution:
    def maxArea(self, H: List[int]) -> int:
        ans, i, j = 0, 0, len(H)-1
        while (i < j):
            if H[i] <= H[j]:
                res = H[i] * (j - i)
                i += 1
            else:
                res = H[j] * (j - i)
                j -= 1
            if res > ans: ans = res
        return ans