// includes #include // macros #define ll long long int #define pb emplace_back #define mk make_pair #define pq priority_queue #define FOR(i, a, b) for(int i=(a);i<(b);++i) #define rep(i, n) FOR(i, 0, n) #define rrep(i, n) for(int i=((int)(n)-1);i>=0;i--) #define all(x) (x).begin(),(x).end() #define sz(x) ((int)(x).size()) #define UNIQUE(v) v.erase(unique(v.begin(), v.end()), v.end()) #define FI first #define SE second using namespace std; // types typedef pair P; typedef pair Pl; typedef pair Pll; typedef pair Pd; // constants const int inf = 1e9; const ll linf = 1LL << 50; const double EPS = 1e-10; const int mod = 1e9 + 7; // solve template bool chmax(T &a, const T &b){if(a < b){a = b; return 1;} return 0;} template bool chmin(T &a, const T &b){if(a > b){a = b; return 1;} return 0;} template istream &operator>>(istream &is, vector &vec){for(auto &v: vec)is >> v; return is;} double dp[101][101][101]; int n; double calc(int i, int j, int k){ if(dp[i][j][k] + EPS >= 0.)return dp[i][j][k]; double res = n; if(i > 0)res += (double)i * calc(i-1, j+1, k); if(j > 0)res += (double)j * calc(i, j-1, k+1); if(k > 0)res += (double)k * calc(i, j, k-1); res = res / (double)(i + j + k); return dp[i][j][k] = res; } int main(int argc, char const* argv[]) { ios_base::sync_with_stdio(false); cin.tie(0); cin >> n; vector a(n); cin >> a; int I = 0, J = 0, K = 0; rep(i, n){ if(a[i] == 0)I++; else if(a[i] == 1)J++; else if(a[i] == 2)K++; } rep(i, 101){ rep(j, 101){ rep(k, 101)dp[i][j][k] = -1.; } } dp[0][0][0] = 0.; cout << setprecision(20); cout << calc(I, J, K) << endl; return 0; }