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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 *

def r(a,h):
    return (a*h/2.0)/sqrt(h**2+a**2/4.0)

s = raw_input().strip()
a,h = -1,-1
for a1 in range(1,11):
    for h1 in range(1,11):
        if '%.6f' % r(a1,h1) == s:
            a,h = a1,h1
print a,h