8. Container With Most Water

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8. Container With Most Water

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.


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


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

        while l < r:
            area = (r-l)*min(height[l],height[r])
            res = max(res,area)

            if height[l]<=height[r]: #if heights are equal any of the height can be shifted
                l += 1
            elif height[l]>height[r]:
                r -= 1
        return res