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(),b=sc.nextLong(),c=sc.nextLong();
    long f=0;
    if((a%2==0&&b%2==0&&c%2==0)&&(a==b&&b==c)){
      System.out.println(-1);
    }else{
      while(true){
        if(a%2!=0||b%2!=0||c%2!=0){
          break;
        }else{
          long ha=a/2,hb=b/2,hc=c/2;
          a=hb+hc;
          b=ha+hc;
          c=ha+hb;
          f++;
        }
      }
      System.out.println(f);
    }
  }
}
