<image>

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;
const double wucha = 3e-5;
double x, l;
int main() {
  cin >> x;
  for (double h = 1.0; h <= (10.0 + wucha); h += 1.0) {
    if (h + wucha < x) continue;
    l = (h / sqrt((h * h) / (x * x) - 1)) * 2.0;
    for (double q = 1.0; q <= (10.0 + wucha); q += 1.0) {
      if (l - q < wucha && q - l < wucha) {
        cout << (int)q << " " << (int)h;
        return 0;
      }
    }
  }
}
