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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 as m

x= float(input())
for a in range (1,10+1):
    for h in range (1,10+1):
        if abs(x - (  (a*h)/ (2* m.sqrt(a*a/4 +h*h)  )) ) <= 10**-5: 
            print (a,h)
            quit()