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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
def getR(a,h):
	return math.sin(math.atan2(h,0.5*a))*0.5*a

r = float(input())
bestR=1e100
for a in range(1,11):
	for h in range(1,11):
		d = abs(r-getR(a,h))
		if d < bestR:
			bestR = d
			bestA = a
			bestH = h
print(bestA, bestH)
