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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 hypot

__author__ = 'Pavel Mavrin'

rr = float(input())
min = 1e100
res = []

for a in range(1, 11):
    for h in range(1, 11):
        x = a / 2
        y = h
        r = x * y / hypot(x, y)
        d = abs(r - rr)
        if d < min:
            min = d
            res = [a, h]

print(*res)