#include #include #include using namespace atcoder; using mint = modint998244353; using namespace std; #define rep(i,n) for (int i = 0; i < (n); ++i) #define Inf32 1000000001 #define Inf64 1000000000000000001 long long get(vector x,vector y){ vector t = y; sort(t.begin(),t.end()); t.erase(unique(t.begin(),t.end()),t.end()); vector> p; rep(i,x.size()){ p.emplace_back(x[i],lower_bound(t.begin(),t.end(),y[i])-t.begin()); } sort(p.begin(),p.end()); fenwick_tree fw(t.size()); long long ret = 0; rep(i,p.size()){ ret += fw.sum(p[i].second+1,t.size()); fw.add(p[i].second,1); } return ret; } long long g2(vector x){ long long n = x.size(); long long ret = n*(n-1)/2; map mp; rep(i,n){ ret -= mp[x[i]]; mp[x[i]]++; } return ret; } int main(){ int n; cin>>n; vector x(n),y(n); rep(i,n){ cin>>x[i]>>y[i]; } long long P = get(x,y); rep(i,n){ x[i] *= -1; } long long Q = get(x,y); long long R = g2(x),S = g2(y); long double ans = P-Q; ans /= sqrtl(R); ans /= sqrtl(S); ans *= -1; cout<