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: Runtime Error)

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

namespace AtCoder_081_B
{
    class Program
    {
        static void Main(string[] args)
        {
			int a = int.Parse(Console.ReadLine());
			int[] array = new int[a];
			int breakFlag = 0;
			int count = 0;

			for (int i = 0; i < a; i++)
			{
				array[a] = int.Parse(Console.ReadLine());
			}
			while (true)
			{
				for (int i = 0; i < a; i++)
				{
					if (array[i] % 2 != 0)
					{
						breakFlag = 1;
						break;
					}
					array[i] = array[i] / 2;
				}
				if (breakFlag == 1) break;
				count++;
			}
			Console.WriteLine(count);

			//// スペース区切りの整数の入力
			//string[] input = Console.ReadLine().Split(' ');
			//int b = int.Parse(input[0]);
			//int c = int.Parse(input[1]);
			//// 文字列の入力
			//string s = Console.ReadLine();
			////出力
			//Console.WriteLine((a + b + c) + " " + s);
		}
    }
}