#include using namespace std; int N; double memo[128][128][128]; double calc(int zero, int one, int two) { if (zero + one + two == 0) return (0); if (memo[zero][one][two] >= 0) return (memo[zero][one][two]); double ret = 1; if (zero) ret += zero * 1. / N * calc(zero - 1, one + 1, two); if (one) ret += one * 1. / N * calc(zero, one - 1, two + 1); if (two) ret += two * 1. / N * calc(zero, one, two - 1); ret *= N * 1. / (zero + one + two); return (memo[zero][one][two] = ret); } int main() { int ct[3] = {0}; scanf("%d", &N); for (int i = 0; i < N; i++){ int x; scanf("%d", &x); if (x < 3) ct[x]++; } for (int i = 0; i < 128; i++) for (int j = 0; j < 128; j++) for (int k = 0; k < 128; k++) memo[i][j][k] = -1; printf("%.10lf\n", calc(ct[0], ct[1], ct[2])); return (0); }