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)

/**************************************************
 * Atcoder problems
 * Contest No :081
 * Problem No :B
 * File Name  :program.cs
 * Create date:2020/06/07
 *
 * Copyright 2020 Shunichi Sato,All Rights Reserved.
**************************************************/
//memo terinal command
//compile:mcs program.cs
//excute :mono program.exe
using System;
class Program
{
	static void Main(string[] args)
	{
        // 個数の入力
        int count = int.Parse(Console.ReadLine());
        String[] nums = Console.ReadLine().Split(' ');
        int num_max_length = 999;
        int[] num = new int[num_max_length];
        int output = 0;
        for (int i = 0; i<count;i++)
        {
            num[i] = int.Parse(nums[i]);
        }
        // 判定
        while (true)
        {
            bool exist_odd = false;
            for (int i = 0;i < count;i++)
            {
                if(num[i] % 2 != 0)
                {
                    exist_odd = true;
                }
            }
            if(exist_odd)
            {
                break;
            }

            for (int i = 0 ;i < count ; i++)
            {
                num[i] = num[i] / 2;
            }
            output++;
        }
		//出力
		Console.WriteLine(output);
	}
}