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);
      long a = sc.nextLong();
      long b = sc.nextLong();
      long c = sc.nextLong();
      long cnt = 0;
      while(a%2==0&&b%2==0&&c%2==0){
        if(a==b&&b==c){
      	  System.out.println(-1);
          return;
        }
        long s = a;
        long t = b;
        long u = c;
      	a = (t+u)/2;
        b = (s+u)/2;
        c = (s+t)/2;
        cnt++;
      }
      System.out.println(cnt);
    }
}
