Container With Most Water

题目：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.

思路：

本题和之前的  trapping rain water 没有较大关系，只是单纯的询问我们两根线连起来会不会有最大值。

所以思路就是双指针法，两边开始，以最小值高度为长，做乘积。谁小谁往里走。

代码：

class Solution {
public:
    int maxArea(vector<int>& height) {
        int i=0,j=height.size()-1;
        // 1 2 3 4 5 
        int res=0,tem=0;
        while(i<=j){
            tem=(j-i)*min(height[i],height[j]);
            if(height[i]>height[j]){
                j--;
            }else if(height[i]<height[j]){
                i++;
            }else{
                i++;j--;
            }
            res=max(res,tem);
        }
        return res;//
    }
};