#include #define rep(i,n) for(int i=0;i<(n);i++) using namespace std; int n; double memo[101][101][101]; double dfs(int n0,int n1,int n2,int n3){ if(memo[n0][n1][n2]!=-1) return memo[n0][n1][n2]; if(n3==n) return memo[n0][n1][n2]=0; double res=1; if(n0>0) res+=dfs(n0-1,n1+1,n2,n3)*n0/n; if(n1>0) res+=dfs(n0,n1-1,n2+1,n3)*n1/n; if(n2>0) res+=dfs(n0,n1,n2-1,n3+1)*n2/n; res/=1-1.0*n3/n; return memo[n0][n1][n2]=res; } int main(){ scanf("%d",&n); vector a(n); rep(i,n) scanf("%d",&a[i]), a[i]=min(a[i],3); int freq[4]={}; rep(i,n) freq[a[i]]++; rep(i,n+1) rep(j,n+1) rep(k,n+1) memo[i][j][k]=-1; printf("%.9f\n",dfs(freq[0],freq[1],freq[2],freq[3])); return 0; }