HDU 1907 Nim博弈 John

#include <iostream>
#include <algorithm>
#define ss(a)  scanf("%d",&a)
#define ss64(a)  scanf("%I64d",&a)
using namespace std;

int main()
{
	int i,n,m,sum,cnt,j;
	int temp;
	while(~ss(n))   //加个n=0跳出结果超时了，醉了
	{
		while(n--)
		{
			temp=0;
			ss(j);
			for (i=0,sum=0;i<j;i++)
			{
				ss(m);
				if (m>1)
					temp=1;
				sum ^=m;
			}
			if ((sum && temp) || (!sum && !temp))
				cout<<"John"<<endl;
			else	
				cout<<"Brother"<<endl;			
		}
	}
    return 0;
}

基本的Nim博弈   

看了博弈总结之后才坐这道题，有关博弈总结可以看这里

http://blog.csdn.net/acm_cxlove/article/details/7854530  长篇大论

John

Time Limit: 5000/1000 MS (Java/Others)    Memory Limit: 65535/32768 K (Java/Others)
Total Submission(s): 3395    Accepted Submission(s): 1910

Problem Description

Little John is playing very funny game with his younger brother. There is one big box filled with M&Ms of different colors. At first John has to eat several M&Ms of the same color. Then his opponent has to make a turn. And so on. Please note that each player has to eat at least one M&M during his turn. If John (or his brother) will eat the last M&M from the box he will be considered as a looser and he will have to buy a new candy box.

Both of players are using optimal game strategy. John starts first always. You will be given information about M&Ms and your task is to determine a winner of such a beautiful game.

 

Input

The first line of input will contain a single integer T – the number of test cases. Next T pairs of lines will describe tests in a following format. The first line of each test will contain an integer N – the amount of different M&M colors in a box. Next line will contain N integers Ai, separated by spaces – amount of M&Ms of i-th color.

Constraints:
1 <= T <= 474,
1 <= N <= 47,
1 <= Ai <= 4747

 

Output

Output T lines each of them containing information about game winner. Print “John” if John will win the game or “Brother” in other case.

 

Sample Input

   
   
   
   

    
    
    
    2
3
3 5 1
1
1
   
   
   
   

 

Sample Output

   
   
   
   

    
    
    
    John
Brother
   
   
   
   

 

Source

Southeastern Europe 2007