#define _USE_MATH_DEFINES #include #include #include #include #include #include //#include #include #include #include #include #include #include ///////// #define REP(i, x, n) for(int i = x; i < n; i++) #define rep(i,n) REP(i,0,n) #define P(p) cout<<(p)< ///////// typedef long long LL; typedef long double LD; ///////// using namespace::std; ///////// LD X[101][101][101]; int main(void){ std::cin.tie(0); std::ios::sync_with_stdio(false); std::cout << std::fixed;// cout << setprecision(16);// int N; cin>>N; int A[100]; int a,b,c; a=b=c=0; rep(i,N){ cin>>A[i]; switch(A[i]){ case 0: a++; break; case 1: b++; break; case 2: c++; break; } } LD sum,temp; for(int i=0;i<=N;++i){ for(int j=0;j<=N;++j){ for(int k=0;k<=N;++k){ sum = i+j+k; if( sum ){ temp = 0; if(i>0){ temp += X[i-1][j+1][k] * i; } if(j>0){ temp += X[i][j-1][k+1] * j; } if(k>0){ temp += X[i][j][k-1] * k; } X[i][j][k] = (temp + N)/sum; } } } } P( X[a][b][c] ); return 0; }