<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 math
x = float(raw_input())
aa = -1
hh = -1
for a in range(1, 11):
	for h in range(1, 11):
		q = math.sqrt(a * a / 4.0 + h * h)
		if abs(x - a * h / 2.0 / q) < 1e-5:
			aa, hh = a, h
print aa, hh