<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
#include <bits/stdc++.h>
using namespace std;
int main() {
  double f;
  cin >> f;
  for (int i = 1; i <= 10; ++i) {
    for (int j = 1; j <= 10; ++j) {
      double a = i;
      double h = j;
      if (abs(f * f * 4.0 - a * a * h * h / (a * a / 4.0 + h * h)) < 0.0001) {
        cout << i << " " << j << endl;
        return 0;
      }
    }
  }
  return 0;
}
