A Chess Game

Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others) Total Submission(s): 1100 Accepted Submission(s): 504

Problem Description

Let’s design a new chess game. There are N positions to hold M chesses in this game. Multiple chesses can be located in the same position. The positions are constituted

as a topological graph, i.e. there are directed edges connecting some positions, and no cycle exists. Two players you and I move chesses alternately. In each turn the player

should move only one chess from the current position to one of its out-positions along an edge. The game does not end, until one of the players cannot move chess any

more. If you cannot move any chess in your turn, you lose. Otherwise, if the misfortune falls on me… I will disturb the chesses and play it again. Do you want to challenge

me? Just write your program to show your qualification!

Input

Input contains multiple test cases. Each test case starts with a number N (1 <= N <= 1000) in one line. Then the following N lines describe the out-positions of each

position. Each line starts with an integer Xi that is the number of out-positions for the position i. Then Xi integers following specify the out-positions. Positions are

indexed from 0 to N-1. Then multiple queries follow. Each query occupies only one line. The line starts with a number M (1 <= M <= 10), and then come M integers,

which are the initial positions of chesses. A line with number 0 ends the test case.

Output

There is one line for each query, which contains a string “WIN” or “LOSE”. “WIN” means that the player taking the first turn can win the game according to a clever

strategy; otherwise “LOSE” should be printed.

Sample Input

    4 2 1 2 0 1 3 0 1 0 2 0 2 0 4 1 1 1 2 0 0 2 0 1 2 1 1 3 0 1 3 0
  

Sample Output

    WIN WIN WIN LOSE WIN
  

用SG函数做的：

 1 #include <iostream>
 2 #include <stdio.h>
 3 #include <algorithm>
 4 #include <string.h>
 5 #include <math.h>
 6 #include <vector>
 7 #include <stack>
 8 #include <queue>
 9 using namespace std;
10 #define ll long long int
11 vector<int> a[1100];
12 int z[1100];
13 int n;
14 int dfs(int x)
15 {
16     if(z[x]!=-1)return z[x];
17     int size=a[x].size();
18     int i;
19     int c[n];
20     memset(c,0,sizeof(c));
21     for(i=0;i<size;i++)
22     {
23         c[dfs(a[x][i])]=1;
24     }
25     for(i=0;i<n;i++)
26     if(!c[i])
27     {
28         z[x]=i;
29         break;
30     }
31     return z[x];
32 }
33 int main()
34 {
35     while(cin>>n)
36     {
37         bool b[n];
38         memset(z,-1,sizeof(z));
39         memset(b,0,sizeof(b));
40         int i,j,m,x;
41         for(i=0;i<n;i++)
42         {
43             a[i].clear();
44             cin>>m;
45             for(j=0;j<m;j++)
46             {
47                 cin>>x;
48                 a[i].push_back(x);
49                 b[x]=1;
50             }
51         }
52         for(i=0;i<n;i++)
53         {
54             if(!b[i])
55             dfs(i);
56         }
57         while(cin>>m&&m)
58         {
59             int sum=0;
60             for(i=0;i<m;i++)
61             {
62                 cin>>x;
63                 sum^=z[x];
64             }
65             if(sum)
66             cout<<"WIN"<<endl;
67             else cout<<"LOSE"<<endl;
68         }
69     }
70 }