#include using namespace std; const int N = 110; double dp[N][N][N]; int n; double rec(int a, int b, int c){ if (a + b + c == 0) return 0; double &res = dp[a][b][c]; if (res >= -.5) return res; double dn = n; res = 1; if (a) res += a / dn*rec(a - 1, b + 1, c); if (b) res += b / dn*rec(a, b - 1, c + 1); if (c) res += c / dn*rec(a, b, c - 1); return res *= dn / (a + b + c); } int main(){ cout.setf(ios::fixed); cout.precision(100); cin >> n; int cnt[3] = {}; for (int i = 0; i < n; ++i){ int x; cin >> x; if (x <= 2) ++cnt[x]; } for (int i = 0; i < N; i++) for (int j = 0; j < N; j++) for (int k = 0; k < N; k++) dp[i][j][k] = -1; cout << rec(cnt[0], cnt[1], cnt[2]) << endl; }