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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 x;
int main() {
  double a, h;
  scanf("%lf", &x);
  for (a = 1; a <= 10; a++) {
    for (h = 1; h <= 10; h++) {
      if ((fabs((((a * h / 2) / sqrt((a / 2) * (a / 2) + h * h))) - (x)) <=
           0.00001)) {
        printf("%.0lf %0.lf\n", a, h);
        return 0;
      }
    }
  }
  return 0;
}
