刷题11. Container With Most Water

一、题目说明

11.Container With Most Water，这个题目难度是Medium。

二、我的做法

乍一看，简单啊，两个for循环就可以了，我在本地写的。

#include<iostream>
#include<vector>
#include<math.h>
using namespace std;

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

int main(){
    Solution s;
    vector<int> v = {1,8,6,2,5,4,8,3,7};
    cout<<(49==s.maxArea(v));
    return 0;
}

提交后运行，居然Time Limit Exceeded是，好伤心。

里面给了一个非常长的数据，实际上我本地运行时间大概2-3秒吧。不过既然错了，我的重新思考一下。

这里面最大的问题在于“不动脑子”直接用双重循环，其实单重循环就可以的。

三、改进

首先用单重循环实现，时间20秒，原谅我贴出来测试代码居然这么长。

#include<iostream>
#include<vector>
using namespace std;

class Solution{
    public:
        int maxArea(vector<int> &height){
            int left=0,right=height.size()-1,maxarea=0,currarea=0,currheight;
            while(left<right){
                currheight = height[left]>height[right]?height[right] : height[left];
                currarea = currheight*(right-left);
                if(currarea>maxarea){
                    maxarea = currarea;
                }
                if(height[left]>height[right]){
                    right--;
                }else{
                    left++;
                }
            }
            
            return maxarea;
        }
};

int main(){
    Solution s;
    vector<int> v = {1,8,6,2,5,4,8,3,7};
    cout<<(49==s.maxArea(v))<<endl;
    v = 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    cout<<(s.maxArea(v));
    return 0;
}

继续优化，到16秒，居然i++的性能比 i+=1性能差着多？

#include<iostream>
#include<vector>
#include<math.h>
using namespace std;

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

int main(){
    Solution s;
    vector<int> v = {1,8,6,2,5,4,8,3,7};
    cout<<(49==s.maxArea(v))<<endl;
    return 0;
}

真是亮瞎我的钛合金狗眼啊。醉了！

Runtime: 16 ms, faster than 96.29% of C++ online submissions for Container With Most Water.
Memory Usage: 9.8 MB, less than 67.01% of C++ online submissions for Container With Most Water.