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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
r = float(raw_input())
for a in range(1, 11):
    for b in range(1, 11):
        x, y = float(a), float(b)
        if abs(x*y/(2*sqrt(x*x/4+y*y)) - r) < 0.00001:
            print a, b
            exit()
