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.io.IOException;
import java.util.Scanner;

public class Main {

	public static void main(String[] args) throws IOException {
		Scanner in = new Scanner(System.in);
		int a = in.nextInt();
		int b = in.nextInt();
		int c = in.nextInt();
		int tempA = 0;
		int tempB = 0;
		int tempC = 0;
		int count = 0;


		if(a==b && b==c){
			if(a%2!=1){
				System.out.println(-1);
			}else{
				System.out.println(0);
			}
		}else{
			while(a%2!=1 && b%2!=1 && c%2!=1){
				tempA = a/2;
				tempB = b/2;
				tempC = c/2;
				a = tempB + tempC;
				b = tempC + tempA;
				c = tempA + tempB;
				count++;
			}
			System.out.println(count);
		}

	}

}
