#!/usr/bin/env python3

import math

theta = 2.22356101931355410617317719226235368598115711946322050026
b = theta
a = math.floor(b)
n = 100
print(a, end = '.')

for i in range(1, n):
	b = math.floor(b) * (b - math.floor(b) + 1.)
	a = math.floor(b)
	print(a, end = '')
	
#2.22356101931355410617317719226235368598115711946322050026
#2.22356101931355410617317719226235368598115711946322050026
#2.223561019313554106173177