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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 getR(int a, int h) {
  double x = a * 0.5;
  double y = h;
  double r = x * y / sqrt(x * x + y * y);
  return r;
}
int main() {
  double r;
  cin >> r;
  for (int i = 1; i <= 10; ++i)
    for (int j = 1; j <= 10; ++j)
      if (fabs(getR(i, j) - r) < 0.000001) {
        printf("%d %d\n", i, j);
        return 0;
      }
  return 0;
}
