#include <iostream> using namespace std; int N; bool done[111][111][111]; double dp[111][111][111]; double solve(int a, int b, int c){ if(a == 0 && b == 0 && c == 0)return 0; if(done[a][b][c])return dp[a][b][c]; double res = 1; if(a > 0){ res += solve(a - 1, b + 1, c) * a / N; } if(b > 0){ res += solve(a, b - 1, c + 1) * b / N; } if(c > 0){ res += solve(a, b, c - 1) * c / N; } int d = N - a - b - c; double k = 1 - (double)d / N; res /= k; done[a][b][c] = true; return dp[a][b][c] = res; } int main(){ int a = 0, b = 0, c = 0; cin >> N; for(int i=0;i<N;i++){ int A; cin >> A; if(A == 0){ ++a; } if(A == 1){ ++b; } if(A == 2){ ++c; } } printf("%.10f\n", solve(a, b, c)); return 0; }