LeetCode 11. Container With Most Water (Python)

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题目描述:
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.

题目大意:
输入一个权威正数的列表,列表中每一项的索引代表横坐标,该项值代表纵坐标,每个点与横坐标与其相同纵坐标为0构成一条线段,从这些线段中找到一个能包含最大面积的容器(容器的高视两条线段的最短边),最终返回最大面积。比如输入[1, 2, 1],那么分别有线段(0,0)到(0,1)、(1,2)到(1,0)、(2,1)到(2,0),最大面积应该为(2 - 0) * 1 = 2。

思路:
如果当前两条线段长度不同,那么只有可能将较短那条线段换作更长的线段,面积才可能更大

AC代码:

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