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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 sqrt;
def main():
	r = float(raw_input())
	for a in xrange(1,11):
		for b in xrange(1,11):
			R = a/2.0 * b / sqrt((a/2.0)**2 + b**2);
			if abs(R - r) < 1e-6:
				print a,b;
				return;
 
if __name__ == "__main__":
	main()