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.*;
class Main{
    public static void main(String[] args){
        Scanner sc=new Scanner(System.in);
        long A=sc.nextLong();
        long B=sc.nextLong();
        long C=sc.nextLong();
        long count=0;
        long a,b,c;
        while(((A%2)==0) && ((B%2)==0) && ((C%2)==0)){
            if((A==B) && (B==C)){
                count=-1;
                break;
            }
            a=A;
            b=B;
            c=C;
            A=(b+c)/2;
            B=(a+c)/2;
            C=(a+b)/2;
            count+=1;
        }
        System.out.println(count);
    }
}

