#!/usr/bin/python2 # -*- coding: utf-8 -*- # † from math import pi, sin def trigamma(x): small = 1e-4 large = 8 f1 = float(1) if x <= 0 and int(x) == x: return float('inf') if x < 0: val = pi / sin(-pi * x) return -trigamma(1-x) + val*val if x <= small: c = pi * pi / 6 # Zeta(2) c1 = -2.404113806319188570799476 # -2 Zeta(3) return f1 / (x*x) + c + c1*x val = 0. while x < large: val += f1 / (x*x) x += 1 if x >= large: r = f1 / (x*x) bs = [f1, f1/6, -f1/30, f1/42, -f1/30, f1*5/66] val += .5*r + reduce(lambda by, bx: bx + r*by, reversed(bs)) / x return val x = float(raw_input()) res = trigamma(x+1) print '{:.15f}'.format(res)