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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 ans;
  while (cin >> ans) {
    for (double a = 1; a <= 10; ++a)
      for (double h = 1; h <= 10; ++h) {
        double temp = (a * h) / (2 * sqrt(a * a / 4 + h * h));
        if (abs(temp - ans) < 0.0001) {
          printf("%d %d\n", (int)a, (int)h);
          return 0;
        }
      }
  }
  return 0;
}
