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.*;
import static java.lang.System.*;
import static java.lang.Math.*;
public class Main {
    public static void main(String[] $) {
        Scanner sc = new Scanner(in);
        int a=sc.nextInt(),b=sc.nextInt(),c=sc.nextInt();
        if((a+b+c)%2==1){
            out.println(0);
        }else if(a==b&&b==c&&c==a){
            out.println(-1);
        }else {
            int ans=0;
            while (a%2+b%2+c%2==0){
                ans++;
                int tempA=(b+c)/2;
                int tempB=(a+c)/2;
                int tempC=(b+a)/2;
                a=tempA;
                b=tempB;
                c=tempC;
            }
            out.println(ans);
        }
    }
}