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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
import math

EPS = 0.000002
x = float(raw_input())
for a in range(1,11):
	for h in range(1,11):
		d = h / math.sqrt(float(4*h*h) / (a*a) + 1)
		# print d
		if abs(x - d) < EPS:
			print a, h
			exit(0)
		# print 4 * math.pi * d**3 / 3 / 2