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;
using System.Collections.Generic;

namespace AtCoder
{
    class Program
    {
        static void Main(string[] args)
        {
            MainStream();
        }
        static void MainStream()
        {
            Scan sc = new Scan();
            write wr = new write();

            int n = sc.intarr[0];
            int[] array = sc.intarr;

            int count = 0;

            //偶数チェック機構
            while (true)
            {
                for (int i = 0; i < n; i++)
                {
                    if (array[i] % 2 != 0)
                    {
                        Console.WriteLine(count);
                        return;
                    }
                }

                for(int i=0; i<n; i++)
                {
                    array[i] = array[i] / 2;
                }
                count++;
            }
        }


    }

    class Scan
    {
        public string str => Console.ReadLine();

        public string[] strarr => str.Split(' ');

        public long[] longarr => strarr.Select(long.Parse).ToArray();
        public int[] intarr => strarr.Select(int.Parse).ToArray();
        public char[] chararr => str.ToArray();


    }



    class write
    {
        public void wri<Type>(Type x)
        {
            Console.WriteLine(x);
        }
    }

    class Method
    {
        static public int max(params int[] nums)
        {

            int maxx = nums[0];
            for (int i = 1; i < nums.Length; i++)
            {
                maxx = Math.Max(maxx, nums[i]);
            }
            return maxx;
        }
    }
}