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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>
int main() {
  double x;
  int a, h;
  double mind = 100000;
  int mina, minh;
  scanf("%lf", &x);
  for (h = 1; h <= 10; h++) {
    for (a = 1; a <= 10; a++) {
      double r;
      r = (double)(a * a * h * h);
      r /= (double)(a * a + 4.0 * h * h);
      r = sqrt(r);
      r = (double)((int)(r * 1000000 + 0.5)) / 1000000;
      if (r >= x && r - x < mind) {
        mind = r - x;
        mina = a;
        minh = h;
      }
    }
  }
  printf("%d %d\n", mina, minh);
}
