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.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace AtCoderTest
{
    class ShiftOnly
    {
        static int countPowerOfTwo( List<int> list )
        {
            int res = 0;
            int nElement = list.Count();
            while (true)
            {
                for(int i=0; i< nElement; ++i)
                {
                    if (list[i] % 2 == 1)
                        return res;
                    else
                        list[i] = list[i] / 2;
                }
                res++;
            }
        }

        public static string core()
        {
            var inStr = Console.ReadLine();
            var inStr2 = Console.ReadLine();
            var inList = inStr2.Split(' ').Select(x => int.Parse(x)).ToList();

            var retStr = countPowerOfTwo(inList).ToString();
            return retStr;
        }

    }

    class Program
    {
        static void Main(string[] args)
        {
            Console.Write(ShiftOnly.core());
        }
    }
}