[LeetCode] 0011. Container With Most Water

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內容目錄

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

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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