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 ans = 0;
		while(A % 2 == 0 && B % 2 == 0 && C % 2 == 0) {
			int tempA = B / 2 + C / 2;
			int tempB = A / 2 + C / 2;
			int tempC = A / 2 + B / 2;
			if(A == tempA && B == tempB && C == tempC) {
				System.out.println(-1);
				return;
			}
			ans++;
			A = tempA;
			B = tempB;
			C = tempC;
		}
		
		System.out.println(ans);
	}
}
