// 基本テンプレート #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define rep(i,a,n) for(int (i)=(a); (i)<(n); (i)++) #define repq(i,a,n) for(int (i)=(a); (i)<=(n); (i)++) #define repr(i,a,n) for(int (i)=(a); (i)>=(n); (i)--) #define int long long int template void chmax(T &a, T b) {a = max(a, b);} template void chmin(T &a, T b) {a = min(a, b);} template void chadd(T &a, T b) {a = a + b;} typedef pair pii; typedef long long ll; int dx[] = {0, 0, 1, -1}; int dy[] = {1, -1, 0, 0}; const ll INF = 1001001001001001LL; const ll MOD = 1000000007LL; int N; double dp[110][110][110]; int cnt[4]; double solve(int x, int y, int z) { if(dp[x][y][z] != -1) return dp[x][y][z]; dp[x][y][z] = 1; if(x != N) dp[x][y][z] += 1.0 * solve(x+1, y, z) * (N - x) / N; if(y != x) dp[x][y][z] += 1.0 * solve(x, y+1, z) * (x - y) / N; if(z != y) dp[x][y][z] += 1.0 * solve(x, y, z+1) * (y - z) / N; dp[x][y][z] *= 1.0 * N / (N - z); return dp[x][y][z]; } signed main() { cin >> N; repq(i,0,N) repq(j,0,N) repq(k,0,N) dp[i][j][k] = -1; dp[N][N][N] = 0; rep(i,0,N) { int A; cin >> A; cnt[min(A, 3LL)]++; } repr(i,2,0) { cnt[i] += cnt[i+1]; } printf("%.12f\n", solve(cnt[1], cnt[2], cnt[3])); return 0; }