HDU - 2147 kiki's game

Posted 2020-09-30 晓风微微

Recently kiki has nothing to do. While she is bored, an idea appears in his mind, she just playes the checkerboard game.The size of the chesserboard is n*m.First of all, a coin is placed in the top right corner(1,m). Each time one people can move the coin into the left, the underneath or the left-underneath blank space.The person who can‘t make a move will lose the game. kiki plays it with ZZ.The game always starts with kiki. If both play perfectly, who will win the game? 

InputInput contains multiple test cases. Each line contains two integer n, m (0<n,m<=2000). The input is terminated when n=0 and m=0. 

OutputIf kiki wins the game printf "Wonderful!", else "What a pity!". 
Sample Input

5 3
5 4
6 6
0 0

Sample Output

What a pity!
Wonderful!
Wonderful!




最后一个点一定是必败点，能一步到必败点的点一定是必胜点，只能到必胜点的点一定是必败点。
如此，就可以推出来全部的点

 1 #include<iostream>
 2 using namespace std;
 3 #include<cstdio>
 4 #include<cstring>
 5 int n,m;
 6 bool f[2010][2010];
 7 bool v[2010][2010];
 8 int dfs(int x,int y)
 9 {
10 //    cout<<x<<" "<<y<<endl;
11     if (v[x][y]) return f[x][y];
12     int a1=1,a2=1,a3=1;
13     if ((y-1)>0&&x) a1=dfs(x,y-1);
14     if ((x+1)<=n&&y) a2=dfs(x+1,y);
15     if ((x+1)<=n&&(y-1)>0) a3=dfs(x+1,y-1);
16     bool s=(a1&&a2&&a3);
17     f[x][y]=!s;
18     v[x][y]=1;
19     if (!s) {
20     return 1;}
21     else
22     {
23     return 0;
24     }
25 }
26 int main()
27 {
28     n=2000;
29     dfs(0,2000);
30     while(cin>>n>>m&&n&&m)
31     {
32         bool ans=f[2001-n][m];
33         if (ans)
34         {
35             cout<<"Wonderful!\n";
36         }
37         else
38         {
39             cout<<"What a pity!\n";
40         }
41     }
42     return 0;
43 }