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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 GetHeight(double dBottom, double dHeight) {
  double dLength = sqrt(dBottom * dBottom + dHeight * dHeight);
  return (dBottom * dHeight / dLength);
}
int main() {
  ios::sync_with_stdio(false);
  double dHeight, dWidth, dRadius;
  cin >> dRadius;
  for (dWidth = 1; dWidth <= 10; ++dWidth) {
    for (dHeight = 1; dHeight <= 10; ++dHeight) {
      if (abs(dRadius - GetHeight(dWidth / 2, dHeight)) <= 1e-6) {
        cout << dWidth << ' ' << dHeight << endl;
        goto endapp;
      }
    }
  }
endapp:
  return 0;
}
