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);
        int a = sc.nextInt(),b=sc.nextInt(),c=sc.nextInt();
        if(a==b&&b==c){
            if(a%2==0){
                System.out.println(-1);
            } else {
                System.out.println(0);
            }
        } else {
            long ans = 0;
            while(a%2==0&&b%2==0&&c%2==0){
                int tmpA = a,tmpB=b,tmpC =c;
                a = (tmpB+tmpC)/2;
                b = (tmpA+tmpC)/2;
                c = (tmpA+tmpB)/2;
                ans ++;
            }
            System.out.println(ans);
        }
    }
}
