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;
using System.Text;
using static System.Console;
using static System.Math;

// https://atcoder.jp/contests/abc081/tasks/abc081_b

public class ABC081_B // ←Class名変更！！
{
    public static void Main()
    {
        var n = Ri();
        var a = Ria();

        var max = 0;
        var count = 0;
        for (int i = 0; i < n; i++)
        {
            if (a[i] % 2 == 0)
            {
                a[i] = a[i] / 2;
            }
            else
            {
                max = count;
                break;
            }

            if (i == n - 1)
            {
                i = 0;
                count++;
            }
        }

        WriteLine($"{max}");
    } // Main

    public static string Rs() { return ReadLine(); }
    public static char Rc() { var c = ReadLine(); return c[0]; }    //最初の1文字だけ返す
    public static int Ri() { return int.Parse(ReadLine()); }
    public static long Rl() { return long.Parse(ReadLine()); }
    public static char[] Rca() { return ReadLine().ToCharArray(); }
    public static int[] Ria() { return Array.ConvertAll(ReadLine().Split(' '), int.Parse); }
    public static long[] Rla() { return Array.ConvertAll(ReadLine().Split(' '), long.Parse); }
} // Class