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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 *
from sys import exit
calc = lambda a, h: a/2.0 * sin(atan(2.0 * h / a))

r = input()
for a in range(1, 11):
  for h in range(1, 11):
    if abs(calc(a, h) - r) < 1e-6:
      print a, h
      exit(0)
