/** author: shobonvip created: 2025.05.21 07:13:48 **/ #include using namespace std; //* ATCODER #include using namespace atcoder; typedef modint mint; //*/ /* BOOST MULTIPRECISION #include using namespace boost::multiprecision; //*/ typedef long long ll; #define rep(i, s, n) for (int i = (int)(s); i < (int)(n); i++) #define rrep(i, s, n) for (int i = (int)(n)-1; i >= (int)(s); i--) #define all(v) v.begin(), v.end() template bool chmin(T &a, const T &b) { if (a <= b) return false; a = b; return true; } template bool chmax(T &a, const T &b) { if (a >= b) return false; a = b; return true; } template T max(vector &a){ assert(!a.empty()); T ret = a[0]; for (int i=0; i<(int)a.size(); i++) chmax(ret, a[i]); return ret; } template T min(vector &a){ assert(!a.empty()); T ret = a[0]; for (int i=0; i<(int)a.size(); i++) chmin(ret, a[i]); return ret; } template T sum(vector &a){ T ret = 0; for (int i=0; i<(int)a.size(); i++) ret += a[i]; return ret; } void solve() { int n; cin >> n; vector a(n), b(n); rep(i,0,n) cin >> a[i]; rep(i,0,n) cin >> b[i]; vector p(n); iota(all(p), 0); double ans = 0; int all_match = 0; do { int wins = 0; int loses = 0; all_match++; rep(i,0,n) { if (a[i] > b[p[i]]) { wins += 1; } if (a[i] < b[p[i]]) { loses += 1; } } if (wins > loses) { ans += 1; } } while (next_permutation(all(p))); ans /= double(all_match); cout << fixed << setprecision(15); cout << ans << endl; } int main(){ ios_base::sync_with_stdio(false); cin.tie(NULL); solve(); }