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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;
void out(int n) {
  if (n >> 1) out(n >> 1);
  cout << (n & 1);
}
int main() {
  ios::sync_with_stdio(false);
  int v, w;
  double in, t;
  cin >> in;
  for (v = 1; v <= 10; v++)
    for (w = 1; w <= 10; w++) {
      t = w * 0.5;
      t = v * t / sqrt(v * v + t * t);
      if (fabs(t - in) <= 5e-7) {
        cout << w << " " << v << endl;
        return 0;
      }
    }
  return 0;
}
