#include using namespace std; #define rep(i,a,n) for (int i=a;i=a;i--) #define pb push_back #define eb emplace_back #define mp make_pair #define all(x) (x).begin(),(x).end() #define fi first #define se second #define SZ(x) ((int)(x).size()) typedef vector VI; typedef long long ll; typedef pair PII; typedef double db; mt19937 mrand(random_device{}()); const ll mod=998244353; int rnd(int x) { return mrand() % x;} ll powmod(ll a,ll b) {ll res=1;a%=mod; assert(b>=0); for(;b;b>>=1){if(b&1)res=res*a%mod;a=a*a%mod;}return res;} ll gcd(ll a,ll b) { return b?gcd(b,a%b):a;} // head int main() { std::ios::sync_with_stdio(false); std::cin.tie(nullptr); int N; cin >> N; VI A(N), B(N), ord(N); rep(i, 0, N) cin >> A[i]; rep(i, 0, N) cin >> B[i]; iota(all(ord), 0); int cnt = 0, a_cnt = 0; do { int a_win = 0, b_win = 0; rep(i, 0, N) { a_win += A[ord[i]] > B[i]; b_win += B[ord[i]] < B[i]; } a_cnt += a_win > b_win; ++cnt; } while (next_permutation(all(ord))); cout << (double)a_cnt / cnt << endl; return 0; }