<image>

Input

The input contains a single floating-point number x with exactly 6 decimal places (0 < x < 5).

Output

Output two integers separated by a single space. Each integer should be between 1 and 10, inclusive. If several solutions exist, output any of them. Solution will exist for all tests.

Examples

Input

1.200000


Output

3 2


Input

2.572479


Output

10 3


Input

4.024922


Output

9 9
import itertools
x = float(raw_input())
t = itertools.product(*[range(1, 11), range(1, 11)])
_, a, h = min(map(lambda (a, h): (abs(((1.0*a*a/4*h*h)/(1.0*a*a/4+1.0*h*h))**0.5 - x), a, h), t))
print a, h
