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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
import java.util.Scanner;

/**
 * Created with IntelliJ IDEA.
 * User: Epifanov Sergey
 * Date: 4/1/14
 * Package: PACKAGE_NAME
 */
public class E {
    public static void main(String[] args) {
        Scanner terminalInput = new Scanner(System.in);

        double x = terminalInput.nextDouble();
        double p = x * x;

        boolean d = true;
        for (double a = 1.0; d && (a < 10.1); a += 1.0) {
            for (double b = 1.0; d && (b < 10.1); b += 1.0) {
                final double a1 = p - (a * a * b * b / (4 * b * b + a * a));
                if (Math.abs(a1) < 0.00001) {
                    System.out.println((int) a + " " + (int) b);
                    d = false;
                }
            }
        }
    }
}
