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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
#include <bits/stdc++.h>
using namespace std;
int main() {
  double rr;
  cin >> rr;
  for (int a = 1; a <= 10; a++)
    for (int h = 1; h <= 10; h++) {
      double r = a / 2.0 * h / sqrt(a * a / 4.0 + h * h);
      if (fabs(r - rr) < 1e-6) {
        cout << a << ' ' << h << endl;
        return 0;
      }
    }
}
