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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 n;
int main() {
  cin >> n;
  for (double aa = 1; aa <= 10; aa++)
    for (double h = 1; h <= 10; h++)
      if (abs(aa * h / 2 / sqrt(aa * aa / 4 + h * h) - n) <= 0.0001)
        return cout << aa << ' ' << h << '\n', 0;
  return 0;
}
