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;
typedef long long ll;
#define INF 1LL<<62
#define inf 1000000007

int main() {
	ll a,b,c;
	cin>>a>>b>>c;
	ll ans=0;
	while(a%2==0&&b%2==0&&c%2==0){
		ll A=a/2,B=b/2,C=c/2;
		ans++;
		a=A+B,b=B+C,c=C+A;
		if(a==b&&b==c&&c==a){
			cout << -1;
			return 0;
		}
	}
	cout << ans;
	return 0;
}