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 C# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Linq;

public class Hello {
  
 static int counter =0;
static  int[] loop;
static  int[] num;
    public static void Main() {
        //使わないのはコメントアウトしないとエラー
      
      loop = NumInput();
      num = NumInput();
//        var text = StringInput();
Loop();

        Result(counter);
        
    }
  static void Loop(){
    while(true){
      for(int i = 0; i < loop[0]; i++){
        if(num[i]%2 != 0) return;
          num[i] = num[i]/2;
        }
        counter++;
      } 
  }
  
    static int[] NumInput(){
        var input_line = Console.ReadLine().Split(' ');
        return input_line.Select(int.Parse).ToArray();
    }
    static string[] StringInput(){
        return Console.ReadLine().Split(' ');
    }
    
    static void Result(string text){
        Console.WriteLine( text );
    }   
    static void Result(int num){
        Console.WriteLine( num );
    }
    static void Result(float num){
        Console.WriteLine( num );
    }
}