hdu5011Game

Game

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)
Total Submission(s): 493    Accepted Submission(s): 380

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 < 10⁵) means there are n piles of beads. The next line contains n postive integer, the i-th postive integer a_i(a_i < 2³¹) 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

1121 131 2 3

 

Sample Output

WinLoseLose

 

#include<stdio.h>int main(){int n,i,k;int a;while(scanf("%d",&n)!=EOF){k=0;for(i=0;i<n;i++){scanf("%d",&a);k^=a;}printf(k?"Win\n":"Lose\n");}return 0;}

思路：

一道纯粹的Nim博弈题，题中的可以再选择分开剩余的珠子，是没有影响的，可以选择忽视这一条件!