#include #include #include #include #include #include #include #include #include #include #include #include using namespace std; // ascending order #define vsort(v) sort(v.begin(), v.end()) // descending order #define vsort_r(v) sort(v.begin(), v.end(), greater()) #define vunique(v) v.erase(unique(v.begin(), v.end()), v.end()) #define mp make_pair #define ts(x) to_string(x) #define rep(i, a, b) for(int i = (int)a; i < (int)b; i++) #define repm(i, a, b) for(int i = (int)a; i > (int)b; i--) #define bit(a) bitset<8>(a) #define des_priority_queue priority_queue, greater > typedef long long ll; typedef pair P; const ll INF = 1e18; #define MAX_V 1000000 int main(){ cin.tie(0); ios::sync_with_stdio(false); int N; cin >> N; vector A, B; rep(i, 0, N) { int a; cin >> a; A.push_back(a); } rep(i, 0, N) { int b; cin >> b; B.push_back(b); } vector v1, v2; rep(i, 0, N) { v1.push_back(i); v2.push_back(i); } int win_A = 0, win_B = 0, draw = 0; do { int tmp_win_A = 0, tmp_win_B = 0, tmp_draw = 0; rep(i, 0, N) { if(A[v1[i]] > B[v2[i]]) tmp_win_A++; else if(A[v1[i]] < B[v2[i]]) tmp_win_B++; else tmp_draw++; } if(tmp_win_A > tmp_win_B) win_A++; else if(tmp_win_A < tmp_win_B) win_B++; else draw++; } while(next_permutation(v2.begin(), v2.end())); double rsl = win_A / (win_A + win_B + draw + 0.0); cout << rsl << endl; }