hdu-5011 Game

Problem Description

Here is a game for two players. The rule of the game is described below:

● In the beginning of the game, there are a lot of piles of beads.

● Players take turns to play. Each turn, player choose a pile i and remove some (at least one) beads from it. Then he could do nothing or split pile i into two piles with a beads and b beads.(a,b > 0 and a + b equals to the number of beads of pile i after removing)

● If after a player's turn, there is no beads left, the player is the winner.

Suppose that the two players are all very clever and they will use optimal game strategies. Your job is to tell whether the player who plays first can win the game.

 

Input

There are multiple test cases. Please process till EOF.

For each test case, the first line contains a postive integer n(n < 10 ⁵) means there are n piles of beads. The next line contains n postive integer, the i-th postive integer a _i(a _i < 2 ³¹) means there are a _i beads in the i-th pile.

 

Output

For each test case, if the first player can win the game, ouput "Win" and if he can't, ouput "Lose"

 

Sample Input

  

   1
1
2
1 1
3
1 2 3
   
又是博弈，看着代码是尼姆博弈。。。
但是对我这种很水的人来说，下次就不知道能不能做得出来了
代码如下：
大致就是求一个异或值
#include<stdio.h>
int main(){
	int a[100010];
	int n;
	while(~scanf("%d",&n)){
		int sum=0;
		for(int i=0;i<n;i++){
			scanf("%d",&a[i]);
			sum^=a[i];
		}
		if(sum)
		   printf("Win\n");
		else
		   printf("Lose\n");
	}
	return 0;
}