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();
	int b = sc.nextInt();
	int c = sc.nextInt();

	if(a%2!=0 || b%2!=0 || c%2!=0) {

	    System.out.println(0);
            return;
	}
	if(a == b && b==c) {
	    System.out.println(-1);
	    return;
	}
	int cnt = 0;
	while(a%2==0 && b%2==0 && c%2==0) {
	    int tmpa = a;
	    int tmpb = b;
	    int tmpc = c;
	    a = tmpb/2 + tmpc/2;
	    b =tmpa/2 + tmpc/2;
	    c =tmpb/2 + tmpa/2;
	    cnt++;
	}

	System.out.println(cnt);

    }
}