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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
from math import *
r = input()
for a in xrange(1, 11):
	for h in xrange(1, 11):
		if abs(sqrt(1 / (4.0 / a / a + 1.0 / h / h)) - r) < 1.1e-6:
			print a, h
			exit()
