#include #include #include #include #include using namespace std; #define REP(i,s,e) for (i = s; i <= e; i++) #define rep(i,n) REP (i,0,(int)(n)-1) #define RREP(i,s,e) for (i = s; i >= e; i--) #define rrep(i,n) RREP (i,(int)(n)-1,0) #define INF (int)1e8 #define MOD (int)(1e9+7) typedef long long ll; int main(void) { int i, j, k, n; double ans = 1; cin >> n; REP (i,2,n) { ans += 2. / i; double plus = 0; int cnt = 0; REP (j,1,i-2) { REP (k,j+1,i-1) { plus += j * k; cnt++; } } if (i > 2) plus = plus * (i - 2) / i / cnt; ans += plus; } cout << fixed << setprecision(7) << ans << endl; return 0; }