<image>

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

eps = 1e-5

def check(a, h, x):
    return abs(x * sqrt(4 * h * h + a * a) - a * h) < eps

def main():
    x = float(input())
    for a in range(1, 11):
        for h in range(1, 11):
            if check(a, h, x):
                print(a, h)
                return

main()
