#include #include #include #include #include #include using namespace std; typedef long long int ll; typedef pair pii; #define REP(i,x) for(int i=0;i<(int)(x);i++) int n; ll perm(int i) { ll r = 1; while(i > 0) { r *= i; i--; } return r; } int main(){ cin >> n; double ex = 0; if(n == 2) { cout << 2 << endl; return 0; } ex = 2; for(int i = 3;i <= n;i++) { double s = 2.0; double pe = perm(i-2) / (double)perm(i - 1); for(int l = 1;l < i;l++) { for(int r = 1;r < i;r++) { if(l == r) { continue; } double d = (l * r); s += d * pe; } } s /= i; ex += s; } cout << setprecision(8); cout << fixed; cout << ex << endl; return 0; }