from fractions import Fraction
from collections import defaultdict
from decimal import Decimal
def gcd(a,b):
  if b==0:
    return a
  else:
    return gcd(b,a%b)
def VAL_C(N):
  dp=[Fraction(0,1)]*(N+1)
  for i in range(2,N+1):
    d=0
    for m in range(1,i):
      d=(d+dp[gcd(i,m)]*Fraction(1,i))
    d=(d+1)*Fraction(i,i-1)
    dp[i]=d
  return dp[N]
N=int(input())
if N>4000:
	print(0)
else:
	print(VAL_C(N).numerator/VAL_C(N).denominator)