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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 ans, B, H;
  cin >> ans;
  double ff = 999999999.9;
  for (double h = 1; h <= 10; h++) {
    for (double b = 1; b <= 10; b++) {
      double sum = h * b / sqrt(4 * h * h + b * b);
      double d = fabs(ans - sum);
      if (d < ff) {
        ff = d;
        B = b;
        H = h;
      }
    }
  }
  cout << B << " " << H << endl;
}
