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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 ntest;
char s[1000];
int main() {
  long double x, y;
  cin >> y;
  for (int a = (1); a <= (10); a++)
    for (int h = (1); h <= (10); h++) {
      long double x = (a * h / 2.0) / sqrt((a * a + 4 * h * h) / 4.0);
      if (abs(x - y) < 1e-6) {
        cout << a << " " << h << endl;
        return 0;
      }
    }
  return 0;
}
