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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 n;
  cin >> n;
  for (double i = 1; i <= 10; i++)
    for (double j = 1; j <= 10; j++)
      if (abs(i * j * 0.5 / sqrt(j * j + i * i * 0.25) - n) < 0.000001) {
        cout << i << " " << j << endl;
        return 0;
      }
  return 0;
}
