#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define fi first #define se second #define rep(i,n) for(int i = 0; i < (n); ++i) #define rrep(i,n) for(int i = 1; i <= (n); ++i) #define drep(i,n) for(int i = (n)-1; i >= 0; --i) #define gep(i,g,j) for(int i = g.head[j]; i != -1; i = g.e[i].next) #define each(it,c) for(__typeof((c).begin()) it=(c).begin();it!=(c).end();it++) #define rng(a) a.begin(),a.end() #define maxs(x,y) x = max(x,y) #define mins(x,y) x = min(x,y) #define pb push_back #define sz(x) (int)(x).size() #define pcnt __builtin_popcount #define snuke srand((unsigned)clock()+(unsigned)time(NULL)); #define df(x) int x = in() using namespace std; typedef long long int ll; typedef pair P; typedef vector vi; typedef vector vvi; inline int in() { int x; scanf("%d",&x); return x;} inline void priv(vi a) { rep(i,sz(a)) printf("%d%c",a[i],i==sz(a)-1?'\n':' ');} const int MX = 100005, INF = 1001001001; const ll LINF = 1e18; const double eps = 1e-10; int n; double dp[105][105][105]; double dfs(vi a) { if (a[0] == 0 && a[1] == 0 && a[2] == 0) return 0; double& res = dp[a[0]][a[1]][a[2]]; if (res != 0) return res; double p = 1./n; res = 1; rep(i,3) { if (a[i] == 0) continue; vi b = a; b[i]--; if (i != 2) b[i+1]++; res += a[i]*p*dfs(b); } res /= (a[0]+a[1]+a[2])*p; return res; } int main() { cin >> n; vi a(n); rep(i,n) cin >> a[i]; vi ct(3); rep(i,n) { if (a[i] < 3) ct[a[i]]++; } double ans = dfs(ct); printf("%.10f\n", ans); return 0; }