[LeetCode] 0011. Container With Most Water

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Medium

 


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.

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 <= 10 5
  • 0 <= height[i] <= 10 4

Python

				
					from typing import List class Solution: def maxArea(self, height: List[int]) -> int: maxSum = 0 left, right = 0, len(height) - 1 while left < right: maxSum = max(maxSum, ( right - left) * min(height[left], height[right])) if height[left] < height[right]: left += 1 else: right -= 1 return maxSum Height = [1, 8, 6, 2, 5, 4, 8, 3, 7] print(Solution().maxArea(Height))
				
			
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