[勇者闯LeetCode] 11. Container With Most Water

[勇者闯LeetCode] 11. Container With Most Water

Description

Given n non-negative integers a1, a2, …, an, where each represents a point at coordinate (i, ai). n vertical lines are drawn such that the two endpoints of line i is at (i, ai) and (i, 0). Find two lines, which together with x-axis forms a container, such that the container contains the most water.

Note: You may not slant the container and n is at least 2.

Information

Tags: Array | Two Pointers

Difficulty: Medium

Solution

用两个指针从两端开始向中间靠拢，如果左边线段短于右边，那么左边指针右移，反之右边指针左移，直到左右指针移到中间重合，记录这个过程中组成木桶的最大容积。

class Solution(object):
def maxArea(self, height):
"""
:type height: List[int]
:rtype: int
"""
l, r, ans = 0, len(height)-1, 0
while l < r:
ans = max(ans, (r - l) * min(height[l], height[r]))
if height[l] < height[r]:
l += 1
else:
r -= 1
return ans