Takahashi, Aoki and Snuke love cookies. They have A, B and C cookies, respectively. Now, they will exchange those cookies by repeating the action below:

* Each person simultaneously divides his cookies in half and gives one half to each of the other two persons.



This action will be repeated until there is a person with odd number of cookies in hand.

How many times will they repeat this action? Note that the answer may not be finite.

Constraints

* 1 ≤ A,B,C ≤ 10^9

Input

Input is given from Standard Input in the following format:


A B C


Output

Print the number of times the action will be performed by the three people, if this number is finite. If it is infinite, print `-1` instead.

Examples

Input

4 12 20


Output

3


Input

14 14 14


Output

-1


Input

454 414 444


Output

1
import java.util.*;

public class Main {
    public static void main(String[] args) throws Exception {
        Scanner sc = new Scanner(System.in);
        int A = sc.nextInt();
        int B = sc.nextInt();
        int C = sc.nextInt();
        int count=0;
        int A2,B2,C2;
        while( A%2==0 && B%2==0 && C%2==0 ){
            if(A==B&&B==C&&A==C){
                System.out.println("-1");
                return;
            }
            A2=A/2;
            B2=B/2;
            C2=C/2;
            A=B2+C2;
            B=A2+C2;
            C=B2+A2;
            
            count++;
        }
        System.out.println(count);
    }
}
