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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() {
  ios::sync_with_stdio(false);
  double C;
  cin >> C;
  for (long long int a = (1); a < (long long int)(11); ++a)
    for (long long int h = (1); h < (long long int)(11); ++h) {
      double ad = a / 2.;
      double c = h * ad / sqrt(h * h + ad * ad);
      if ((fabs(c - C) <= fabs(c + C) * (1e-6))) {
        cout << a << ' ' << h << endl;
        return 0;
      }
    }
  return 0;
}
