#!/usr/bin/env python3 # -*- coding: utf-8 -*- import itertools import math def compute_expectation(n): fact = math.factorial ans = 1.0 for i in range(2, n + 1): ans += 2.0 / i if i > 2: for c1, c2 in itertools.combinations(range(1, i), 2): ans += c1 * c2 * fact(i - 2) * 2.0 / fact(i - 1) / i return ans def main(): print("{:.12f}".format(compute_expectation(int(input())))) if __name__ == '__main__': main()