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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;
double f;
int main() {
  cin >> f;
  for (int i = 1; i < 11; i++) {
    for (int j = 1; j < 11; j++) {
      double a = atan2((double)j, i / 2.0);
      if (fabs(f - cos(a) * j) < 1e-4) {
        cout << i << " " << j << endl;
        return 0;
      }
    }
  }
  return 2;
}
