There are N positive integers written on a blackboard: A_1, ..., A_N.

Snuke can perform the following operation when all integers on the blackboard are even:

* Replace each integer X on the blackboard by X divided by 2.



Find the maximum possible number of operations that Snuke can perform.

Constraints

* 1 \leq N \leq 200
* 1 \leq A_i \leq 10^9

Input

Input is given from Standard Input in the following format:


N
A_1 A_2 ... A_N


Output

Print the maximum possible number of operations that Snuke can perform.

Examples

Input

3
8 12 40


Output

2


Input

4
5 6 8 10


Output

0


Input

6
382253568 723152896 37802240 379425024 404894720 471526144


Output

8
import java.util.*;
public class Main{
 public static void main(String[] args){
   Scanner sc = new Scanner(System.in);
   int N = sc.nextInt();

   int[] a = new int[N];
   for(int i=0;i<N;i++) a[i] =sc.nextInt();
   
   boolean flg=true;
   int count =0;
   while(flg)
   {
     for(int i=0;i<N;i++) 
     {
       if(a[i]%2==1) 
       {
         flg =false;
         break;
       }
       else a[i]/=2;
     }
     if(!flg) break;
     count++;
   }
   System.out.println(count);
 }
}