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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 x;
  cin >> x;
  double res1 = 0, res2 = 0;
  for (double i = 1; i < 10.5; i += 1) {
    for (double j = 1; j < 10.5; j += 1) {
      double d = sqrt(i * i / 4 + j * j);
      if (abs(i / 2 * j / d - x) < 1e-5) {
        res1 = i;
        res2 = j;
      }
    }
  }
  cout << res1 << " " << res2 << endl;
  return 0;
}
