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){
        Scanner sc = new Scanner(System.in);
        
        int a = sc.nextInt();
        int b = sc.nextInt();
        int c = sc.nextInt();
        
        if(a==b && b==c && a%2==0){
            System.out.println(-1);
            return;
        }
        
        for(int i=0; i<1_000_000_000; i++){
            if(a%2==1 || b%2==1 || c%2==1){
                System.out.println(i);
                return;
            }
            int ah = a/2;
            int bh = b/2;
            int ch = c/2;
            a = bh+ch;
            b = ah+ch;
            c = ah+bh;
        }
    }
}
