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;

class Program
{
	static int minNum = 1;
	static int maxNum = 200;

	static void Main(string[] args)
	{
		// 整数の入力
		int a = int.Parse(Console.ReadLine());

		if (!chectNum(a))
		{
			Console.WriteLine("入力値が不正です。");
		}

		try
		{
			// スペース区切りの整数の入力
			var input = Console.ReadLine().Split(' ').Select(int.Parse).ToArray();
			if (input.Any(x => x > 1000000000))
			{
				Console.WriteLine("入力値が不正です");
			}
			else
			{
				var answer = checkCount(input, 0);
				Console.WriteLine(answer);
			}
		}
		catch (Exception ex)
		{
			Console.WriteLine("入力値が不正です");
		}
	}

	private static int checkCount(int[] targetList, int count)
	{
		// 全て偶数の場合同じ処理を繰り返す
		if (targetList.All(x => x % 2 == 0))
		{
			targetList = targetList.Select(i => i / 2).ToArray();
			count = checkCount(targetList, ++count);
		}
		return count;
	}

	// 入力チェック1
	private static bool chectNum(int target)
	{
		return minNum <= target && target <= maxNum;
	}

}