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.IO;
using System.Linq;
using System.Diagnostics;
using System.Threading.Tasks;
using System.Collections.Generic;

//

namespace Kyoupro
{
    class Program
    {
        
        static void Main(string[] args)
        {    
            //整数の数を取得
            int N = int.Parse(Console.ReadLine());

            //空白区切り一行
            var input = Console.ReadLine().Split(' ').Select(x => int.Parse(x));
            
            int count = 0;

            while(input.All(x => x%2 ==0))
            {
                input = input.Select(x => x/2);
                // foreach(var n in input)
                // {
                //     Console.Write("{0} ",n);
                // }
                // Console.WriteLine();
                count++;
            }

            Console.WriteLine(count);

        }
    }
}