#include #include #include using namespace std; #define RREP(i,s,e) for (i = s; i >= e; i--) #define rrep(i,n) RREP(i,n,0) #define REP(i,s,e) for (i = s; i < e; i++) #define rep(i,n) REP(i,0,n) #define INF 1e8 typedef long long ll; double dp[100][100][100]; double n; double e(int a, int b, int c) { if (dp[a][b][c] > 0) return dp[a][b][c]; if (a+b+c > 0) { dp[a][b][c] = n; if (a > 0) dp[a][b][c] += e(a-1,b+1,c)*a; if (b > 0) dp[a][b][c] += e(a,b-1,c+1)*b; if (c > 0) dp[a][b][c] += e(a,b,c-1)*c; dp[a][b][c] /= a+b+c; } return dp[a][b][c]; } int main() { int i, a, b, c; cin >> n; a = b = c = 0; rep (i,n) { int x; cin >> x; if (x == 0) a++; else if (x == 1) b++; else if (x == 2) c++; } cout << e(a,b,c) << endl; return 0; }