Euclid's Game

Posted 2021-02-13 xxrlz

博弈论

如果a/b>=2则先手必胜,否则就对(b,a-b)的情况取反 a可以整除b的时候也是必赢的

要保证a>b

#include<bits/stdc++.h> 
#define ll long long
using namespace std;

ll a,b;


int main()
{
    while(cin>>a>>b)
    {
        if(a==0 && b==0)    break;
        
        int times = 1;
            if(a<b)
                swap(a,b);
        while(a%b && a/b==1)
        {
            a-=b;
            if(a<b)
                swap(a,b);
            times^=1;
    
        }
        if(!times)
            cout << "Ollie wins" << endl;
        else 
            cout << "Stan wins" << endl;    
    }
    
    return 0;
}

uva 10368