<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
const r = Number(readline());
search: for (var aHalf = 0.5; aHalf <= 5; aHalf += 0.5)
  for (var h = 1; h <= 10; h++)
    if (Math.abs(aHalf * h / Math.hypot(aHalf, h) - r) <= 0.000001) {
      print(`${aHalf * 2} ${h}`);
      break search;
    }
