http://acm.hdu.edu.cn/showproblem.php?pid=1525
1 //题意: 给定n,m两个数，两个人轮流操作:
2 //选m,n小的数，每次都是大的减去小的数的k倍,k<=max(n,m)/min(n,m);
3 //知道其中一个为0时，执行该操作的为胜者
4
5 //Analyse:for example: if n>m,then n=m*k+c(k<=n/m,c=n%m)
6 //if k>1,then the first player can decide who'll win.if current statue is lost,he can decrease (k-1)*m,
7 //the statue is changed to (m+c,m),the second player only operate m,so the statue is changed to (m,c) which
8 //is the winning statue. if current is the winning statue,he can decrease k*m,the statue is changed to (m,c)
9 //which is the lost statue.So if k>1,the one who operate it is the winner,he is active.but if k==1,he can only
10 //operate the small one.the one who first meet k>1 is the winner.specially,if no one meet k>1,the player operate
11 //it in turn,the first makes the n or m to zero is the winner.
12 #include <iostream>
13
14 using namespace std;
15 int main()
16 {
17 int n,m;
18 while(cin>>n>>m,n+m){
19 int cnt=0;
20 int ans=0;
21 while(1){
22 if(n<m)swap(n,m);
23 ans=n/m;
24 if(ans>=2){
25 break;
26 }
27 cnt++;
28 n%=m;
29 if(n==0){
30 cnt++;
31 break;
32 }
33 }
34 if(cnt&1){
35 cout<<"Ollie wins\n";
36 }
37 else cout<<"Stan wins\n";
38 }
39 return 0;
40 }
posted on 2008-07-23 18:55
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