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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;
long double a, h, d, eps = 0.000001;
int main() {
  cin >> d;
  for (a = 1; a <= 10; a++)
    for (h = 1; h <= 10; h++)
      if (abs(d - (a * h / (sqrt(4 * h * h + a * a)))) < eps) {
        cout << round(a) << " " << round(h);
        return 0;
      }
  return 0;
}
