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 {
	private static Scanner sc = new Scanner(System.in);
	public static void main(String[] args) {
		long a = sc.nextInt();
		long b = sc.nextInt();
		long c = sc.nextInt();
		int ret = 0;
		for (int i = 0;i < 100000000;i++) {
			if (a%2!=0||b%2!=0||c%2!=0) {
				System.out.println(ret);
				return;
			}
			long ta = a/2;
			long tb = b/2;
			long tc = c/2;
			a = tb + tc;
			b = ta + tc;
			c = ta + tb;
			ret++;
		}
		System.out.println(-1);
	}
}
