Problem:
Score : 200 points

Problem Statement

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.

Sample Input 1

3
8 12 40

Sample Output 1

2

Initially, [8, 12, 40] are written on the blackboard.
Since all those integers are even, Snuke can perform the operation.

After the operation is performed once, [4, 6, 20] are written on the blackboard.
Since all those integers are again even, he can perform the operation.

After the operation is performed twice, [2, 3, 10] are written on the blackboard.
Now, there is an odd number 3 on the blackboard, so he cannot perform the operation any more.

Thus, Snuke can perform the operation at most twice.

Sample Input 2

4
5 6 8 10

Sample Output 2

0

Since there is an odd number 5 on the blackboard already in the beginning, Snuke cannot perform the operation at all.

Sample Input 3

6
382253568 723152896 37802240 379425024 404894720 471526144

Sample Output 3

8

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Accepted)

import java.util.Scanner;

public class Main
{
    public static void main(String[] args) 
    {
        
        boolean flag=true;
        int n_cnt,output=-1;
        int i;
        int[] n;
        n = new int[200];
        
        Scanner scan = new Scanner(System.in);

        n_cnt=scan.nextInt();
        for(i=0;i<n_cnt;i++)
        {
            n[i]=scan.nextInt();
        }

        while(flag)
        {
            output++;
            for(i=0;i<n_cnt;i++)
            {
                if(n[i]%2==0)
                {
                    n[i]/=2;
                }
                else
                {
                    flag=false;
                    break;
                }
            }
        }
        
        System.out.println(output);

    }
}