/* #pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") //*/ // #include // #include #include using namespace std; // using namespace atcoder; // #define _GLIBCXX_DEBUG #define DEBUG(x) cerr << #x << ": " << x << endl; #define DEBUG_VEC(v) \ cerr << #v << ":"; \ for (int iiiiiiii = 0; iiiiiiii < v.size(); iiiiiiii++) \ cerr << " " << v[iiiiiiii]; \ cerr << endl; #define DEBUG_MAT(v) \ cerr << #v << endl; \ for (int iv = 0; iv < v.size(); iv++) { \ for (int jv = 0; jv < v[iv].size(); jv++) { \ cerr << v[iv][jv] << " "; \ } \ cerr << endl; \ } typedef long long ll; // #define int ll #define vi vector #define vl vector #define vii vector> #define vll vector> #define pii pair #define pis pair #define psi pair #define pll pair template pair operator+(const pair &s, const pair &t) { return pair(s.first + t.first, s.second + t.second); } template pair operator-(const pair &s, const pair &t) { return pair(s.first - t.first, s.second - t.second); } template ostream &operator<<(ostream &os, pair p) { os << "(" << p.first << ", " << p.second << ")"; return os; } #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define rep1(i, n) for (int i = 1; i <= (int)(n); i++) #define rrep(i, n) for (int i = (int)(n) - 1; i >= 0; i--) #define rrep1(i, n) for (int i = (int)(n); i > 0; i--) #define REP(i, a, b) for (int i = a; i < b; i++) #define in(x, a, b) (a <= x && x < b) #define all(c) c.begin(), c.end() void YES(bool t = true) { cout << (t ? "YES" : "NO") << endl; } void Yes(bool t = true) { cout << (t ? "Yes" : "No") << endl; } void yes(bool t = true) { cout << (t ? "yes" : "no") << endl; } void NO(bool t = true) { cout << (t ? "NO" : "YES") << endl; } void No(bool t = true) { cout << (t ? "No" : "Yes") << endl; } void no(bool t = true) { cout << (t ? "no" : "yes") << endl; } template bool chmax(T &a, const T &b) { if (a < b) { a = b; return 1; } return 0; } template bool chmin(T &a, const T &b) { if (a > b) { a = b; return 1; } return 0; } template T ceil_div(T a, U b) { return (a + b - 1) / b; } template T safe_mul(T a, T b) { if (a == 0 || b == 0) return 0; if (numeric_limits::max() / a < b) return numeric_limits::max(); return a * b; } #define UNIQUE(v) v.erase(std::unique(v.begin(), v.end()), v.end()); const ll inf = 1000000001; const ll INF = (ll)1e18 + 1; const long double pi = 3.1415926535897932384626433832795028841971L; int popcount(ll t) { return __builtin_popcountll(t); } vector gen_perm(int n) { vector ret(n); iota(all(ret), 0); return ret; } // int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1}; // int dx2[8] = { 1,1,0,-1,-1,-1,0,1 }, dy2[8] = { 0,1,1,1,0,-1,-1,-1 }; vi dx = {0, 0, -1, 1}, dy = {-1, 1, 0, 0}; vi dx2 = {1, 1, 0, -1, -1, -1, 0, 1}, dy2 = {0, 1, 1, 1, 0, -1, -1, -1}; struct Setup_io { Setup_io() { ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0); cout << fixed << setprecision(25); cerr << fixed << setprecision(25); } } setup_io; // constexpr ll MOD = 1000000007; constexpr ll MOD = 998244353; // #define mp make_pair template class Zaatsu { bool is_build; vector elements; public: Zaatsu() : is_build(false) {} void add(T x) { elements.push_back(x); } void add(vector x) { for (int i = 0; i < (int)x.size(); i++) { elements.push_back(x[i]); } } int build() { sort(elements.begin(), elements.end()); UNIQUE(elements); is_build = true; return elements.size(); } int operator[](T x) { assert(is_build); return lower_bound(elements.begin(), elements.end(), x) - elements.begin(); } T original(int i) { assert(is_build); return elements[i]; } }; template class SegmentTree { public: using F = function; int n; vector dat; T e; F query_func; F update_func; SegmentTree(vector a, F query_func, F update_func, T e) : n(a.size()), query_func(query_func), update_func(update_func), e(e) { if (n == 0) { a.push_back(e); n++; } dat.resize(4 * n); init(0, 0, n, a); } void init(int k, int l, int r, vector &a) { if (r - l == 1) { dat[k] = a[l]; } else { int lch = 2 * k + 1, rch = 2 * k + 2; init(lch, l, (l + r) / 2, a); init(rch, (l + r) / 2, r, a); dat[k] = query_func(dat[lch], dat[rch]); } } void update(int k, T a, int v, int l, int r) { if (r - l == 1) { dat[v] = update_func(dat[v], a); } else { if (k < (l + r) / 2) update(k, a, 2 * v + 1, l, (l + r) / 2); else { update(k, a, 2 * v + 2, (l + r) / 2, r); } dat[v] = query_func(dat[v * 2 + 1], dat[v * 2 + 2]); } } void update(int k, T a) { update(k, a, 0, 0, n); } T query(int a, int b, int k, int l, int r) { if (r <= a || b <= l) { return e; } if (a <= l && r <= b) { return dat[k]; } else { T ul = query(a, b, k * 2 + 1, l, (l + r) / 2); T ur = query(a, b, k * 2 + 2, (l + r) / 2, r); return query_func(ul, ur); } } T query(int a, int b) { return query(a, b, 0, 0, n); } int find(int a, int b, int k, int l, int r, int x) { if (dat[k] < x || r <= a || b <= l) return -1; if (l + 1 == r) { if (dat[k] >= x) return l; else return -1; } int rv = find(a, b, 2 * k + 2, (l + r) / 2, r, x); if (rv != -1) return rv; return find(a, b, 2 * k + 1, l, (l + r) / 2, x); } }; ll f(ll a, ll b) { return a + b; } ll g(ll a, ll b) { return a + b; } ll get_r(vl x, int cnt, ll n) { vl num(cnt); for (ll i : x) { num[i]++; } ll ret = 0; rep(i, cnt) { ret += num[i] * (n - num[i]); } return ret / 2; } ll get_p(vector xy, int cnt, ll n) { vll x2y(cnt); for (pll p : xy) { x2y[p.first].push_back(p.second); } SegmentTree st(vl(cnt), f, g, 0); ll ret = 0; rep(x, cnt) { for (ll y : x2y[x]) { ret += st.query(0, y); } for (ll y : x2y[x]) { st.update(y, 1); } } return ret; } signed main() { int n; cin >> n; vector xy(n); Zaatsu za; rep(i, n) { cin >> xy[i].first >> xy[i].second; za.add(xy[i].first); za.add(xy[i].second); } int cnt = za.build(); rep(i, n) { xy[i].first = za[xy[i].first]; xy[i].second = za[xy[i].second]; } vl xs, ys; rep(i, n) { xs.push_back(xy[i].first); ys.push_back(xy[i].second); } ll r = get_r(xs, cnt, n); ll s = get_r(ys, cnt, n); ll p = get_p(xy, cnt, n); rep(i, n) { xy[i].second = cnt - 1 - xy[i].second; } ll q = get_p(xy, cnt, n); cout << (p - q) / sqrt(r * s) << endl; }