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);
    	int A = sc.nextInt();
    	int B = sc.nextInt();
    	int C = sc.nextInt();
    	int count = 0;
    	if (A == B && B == C && A%2 == 0) {
    		System.out.println(-1);
    	} else {
        	while (A%2 == 0 && B%2 == 0 && C%2 == 0) {
        		int a = A;
        		int b = B;
        		int c = C;
        		A = b/2 + c/2;
        		B = a/2 + c/2;
        		C = a/2 + b/2;
        		count++;
        	}
        	System.out.println(count);
    	}
    }
}