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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 a;
  cin >> a;
  int yes = 0;
  for (int i = 1; i <= 10; i++) {
    for (int j = 1; j <= 10; j++) {
      double c = i;
      double d = j;
      double e = c * d / sqrt(4 * d * d + c * c);
      if (e > a - 0.00001 && a > e - 0.00001) {
        cout << i << " " << j << endl;
        yes = 1;
        break;
      }
    }
    if (yes) break;
  }
  return 0;
}
