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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
x = float(input())
for a in range(1, 10+1):
  for h in range(1, 10+1):
    if abs(x - (4/(a*a) + 1/(h*h)) ** (-0.5)) <= 10 ** -5:
      print(a, h)
      quit()