【LeetCode】Container With Most Water

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题目描述:

Given n non-negative integers a1a2, ..., an, where each represents a point at coordinate (iai). n vertical lines are drawn such that the two endpoints of line i is at (iai) 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.

O(n*n)的方法显而易见,但是会TLE,需要找O(n)的方法。

解法:low初始为数组最左端(即为0),high初始为最右端(即size-1),然后往中间缩进。若 low<high 则low++,因为容器大小是由短板决定的,若low不变,容器只会小于等于之前的大小。low>=high时一样。

代码如下:

class Solution {public:int maxArea(vector<int> &height) {int area(0);int low(0), high(height.size() - 1);while (low < high){area = max(area, (high - low)*min(height[low], height[high]));if (height[low] < height[high])low++;elsehigh--;}return area;}};


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