11. Container With Most Water

本文探讨了如何从一组垂直线中找出两线,与x轴形成的最大盛水容器。通过双指针技术,实现高效求解最大面积的算法。输入为一系列坐标点的高度,输出为最大盛水量。

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11. Container With Most Water

Medium

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Given n non-negative integers a1a2, ..., an , where each represents a point at coordinate (iai). nvertical 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 and n is at least 2.

 

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:

Input: [1,8,6,2,5,4,8,3,7]
Output: 49

Accepted

471,601

Submissions

997,445

class Solution {
public:
    int maxArea(vector<int>& height) {
    	int ans=0;
        for(int i=0,j=height.size()-1;i<j;){//双指针
        	ans=max(ans,min(height[j],height[i])*(j-i));
            height[i]<height[j]?i++:j--;
        }
        return ans;
    }
};

 

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