[CF98E]Help Shrek and Donkey(纳什均衡)
https://www.cnblogs.com/MashiroSky/p/6576398.html
1 #include<cstdio> 2 #include<algorithm> 3 #define rep(i,l,r) for (int i=(l); i<=(r); i++) 4 using namespace std; 5 6 const int N=1010; 7 int n,m; 8 double g[N][N]; 9 10 double f(int n,int m){ 11 if (!n) return 1./(m+1); 12 if (!m) return 1.; 13 if (g[n][m]) return g[n][m]; 14 double A=(1-(f(m-1,n)))*m/(m+1),B=(1-f(m-1,n))*m/(m+1)+1./(m+1); 15 double C=1-f(m,n-1),p=(C-1)/(A-B+C-1); 16 return g[n][m]=p*A+(1-p); 17 } 18 19 int main(){ 20 freopen("CF98E.in","r",stdin); 21 freopen("CF98E.out","w",stdout); 22 scanf("%d%d",&n,&m); printf("%.10lf %.10lf\n",f(n,m),1-f(n,m)); 23 return 0; 24 }