#include #include #include #define rep(i,n) for(int i = 0 ; i < n ; ++i) #define rep1(i,n) for(int i = 1 ; i <= n ; ++i) using namespace std; int n; int a[110]; double dp[110][110][110]; double rec(int i,int j,int k){ if(dp[i][j][k] >= 0) return dp[i][j][k]; int sum = i + j + k; double res = 0; if(i != 0) res += (double)i/sum * rec(i-1,j,k); if(j != 0) res += (double)j/sum * rec(i+1,j-1,k); if(k != 0) res += (double)k/sum * rec(i,j+1,k-1); res += (double)n/sum; return dp[i][j][k] = res; } int main() { cin >> n; rep(i,n) cin >> a[i]; rep(i,n+1) rep(j,n+1) rep(k,n+1) dp[i][j][k] = -1; dp[0][0][0] = 0; int one = 0,two = 0,thr = 0; rep(i,n){ int x = max( 3-a[i] , 0 ); if(x==1) one++; else if(x==2) two++; else if(x==3) thr++; } printf("%.7f\n", rec(one,two,thr)); return 0; }