#include #include using namespace std; using namespace atcoder; istream &operator>>(istream &is, modint &a) { long long v; is >> v; a = v; return is; } ostream &operator<<(ostream &os, const modint &a) { return os << a.val(); } istream &operator>>(istream &is, modint998244353 &a) { long long v; is >> v; a = v; return is; } ostream &operator<<(ostream &os, const modint998244353 &a) { return os << a.val(); } istream &operator>>(istream &is, modint1000000007 &a) { long long v; is >> v; a = v; return is; } ostream &operator<<(ostream &os, const modint1000000007 &a) { return os << a.val(); } typedef long long ll; typedef vector> Graph; typedef pair pii; typedef pair pll; #define FOR(i,l,r) for (int i = l;i < (int)(r); i++) #define rep(i,n) for (int i = 0;i < (int)(n); i++) #define all(x) x.begin(), x.end() #define rall(x) x.rbegin(), x.rend() #define my_sort(x) sort(x.begin(), x.end()) #define my_max(x) *max_element(all(x)) #define my_min(x) *min_element(all(x)) template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } const int INF = (1<<30) - 1; const ll LINF = (1LL<<62) - 1; const int MOD = 998244353; const int MOD2 = 1e9+7; const double PI = acos(-1); vector di = {1,0,-1,0}; vector dj = {0,1,0,-1}; #ifdef LOCAL # include # define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__) #else # define debug(...) (static_cast(0)) #endif int main(){ cin.tie(0); ios_base::sync_with_stdio(false); int N; cin >> N; vector xy(N); vector z; rep(i, N) { int x, y; cin >> x >> y; z.push_back(x); z.push_back(y); xy[i] = make_pair(x, y); } sort(all(z)); z.erase(unique(all(z)), z.end()); int L = z.size(); rep(i, N){ xy[i].first = lower_bound(all(z), xy[i].first) - z.begin(); xy[i].second = lower_bound(all(z), xy[i].second) - z.begin(); } ll P = 0, Q = 0, R = 0, S = 0; map cx, cy; rep(i, N){ R += i - cx[xy[i].first]; cx[xy[i].first]++; S += i - cy[xy[i].second]; cy[xy[i].second]++; } sort(all(xy)); fenwick_tree fy(L); vector> events(L); rep(i, N) events[xy[i].first].push_back(xy[i].second); rep(z, L){ for(auto y : events[z]){ Q += fy.sum(y + 1, L); P += fy.sum(0, y); } for(auto y : events[z]){ fy.add(y, 1); } } double tau = (double)(P - Q); tau /= (double)sqrt(R) * (double)sqrt(S); debug(P, Q, R, S); cout << fixed << setprecision(15) << tau << endl; }