hdu1907John (尼姆博弈,存在一种特殊情况全为1时)
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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.
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
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
233 5 111
Sample Output
JohnBrother#include<stdio.h>int main(){ int t,n,c,a[105],k; scanf("%d",&t); while(t--) { k=0;c=0; scanf("%d",&n); for(int i=0;i<n;i++) { scanf("%d",&a[i]); c^=a[i]; if(a[i]>1) k=1; } //当c为0时,也就是先手是输家 if(c&&k||!k&&n%2==0) printf("John\n"); else printf("Brother\n"); }}
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