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.

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