11. Container With Most Water

Problem Link

Description

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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 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

Solution

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Python3

class Solution:
    def maxArea(self, height: List[int]) -> int:
        N = len(height)
        res = 0
        i, j = 0, N - 1
 
        while i < j:
            w = j - i
            h = min(height[i], height[j])
            res = max(res, w * h)
            
            if height[i] < height[j]:
                i += 1
            else:
                j -= 1
 
        return res