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.Text;
using System.Collections.Generic;

class Program
{
	static int[] AN;
	static int counter = 0;

	static void Checker(){
			int length = AN.Length;
			bool allEven = true;
			for(int i=0; i<length; i++){
					if(AN[i] % 2 != 0){
							allEven = false;
							break;
						}
					}

			if(allEven){
					counter += 1;
					for(int i=0; i<length; i++){
							AN[i] /= 2;
							}
					Checker();
			}
		}

	static void Main(string[] args)
	{
		//読み込む
		int N = int.Parse(Console.ReadLine());
		AN = Console.ReadLine().Split(' ').Select(i => int.Parse(i)).ToArray();

		//関数を実行
		Checker();

		//出力
		Console.WriteLine(counter);
	}
}