#include using namespace std; double dp[101][101][101]; int main() { int N; scanf("%d", &N); for (int k0 = 0; k0 <= N; k0++) for (int k1 = 0; k1 <= N; k1++) for (int k2 = 0; k2 <= N; k2++) { int k = k0 + k1 + k2; if (k == 0) continue; dp[k0][k1][k2] = (double)N / k; if (k0 > 0) dp[k0][k1][k2] += dp[k0 - 1][k1 + 1][k2] * k0 / k; if (k1 > 0) dp[k0][k1][k2] += dp[k0][k1 - 1][k2 + 1] * k1 / k; if (k2 > 0) dp[k0][k1][k2] += dp[k0][k1][k2 - 1] * k2 / k; } int k0 = 0, k1 = 0, k2 = 0; for (int i = 0; i < N; i++) { int A; scanf("%d", &A); if (A == 0) k0++; if (A == 1) k1++; if (A == 2) k2++; } printf("%.10f\n", dp[k0][k1][k2]); }