import math from decimal import Decimal, getcontext getcontext().prec = 200 # Sufficient precision to handle up to N=100 n = int(input()) if n == 0: print("4.00000000") elif n == 1: print("3.00000000") else: prepre_num = 4 prepre_den = 1 pre_num = 3 pre_den = 1 for i in range(2, n + 1): new_num = 19 * pre_num * prepre_den - 12 * prepre_num * pre_den new_den = 4 * pre_den * prepre_den current_gcd = math.gcd(abs(new_num), new_den) simplified_num = new_num // current_gcd simplified_den = new_den // current_gcd prepre_num, prepre_den = pre_num, pre_den pre_num, pre_den = simplified_num, simplified_den numerator = Decimal(pre_num) denominator = Decimal(pre_den) result = numerator / denominator print("{0:.8f}".format(result))