p03723 AtCoder Grand Contest 014 - Cookie Exchanges_6243
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
#include <bits/stdc++.h>
using namespace std;

int solve(int A,int B,int C){
	if(A&1 || B&1 || C&1)return 0;
	if(A==B && B==C)return -1;
	return 1+solve((B+C)/2,(A+C)/2,(A+B)/2);
}

int main(void){
	int A,B,C;
	cin>>A>>B>>C;
	cout<<solve(A,B,C)<<endl;
	return 0;
}
