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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 r1;
  cin >> r1;
  for (double a = 0.5; a <= 5; a += 0.5)
    for (double b = 1; b <= 10; b += 1) {
      double r = a * b / sqrt(a * a + b * b);
      if (abs(r - r1) < 0.00001) {
        cout << a * 2 << " " << b << endl;
        exit(0);
      }
    }
  return 0;
}
