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;

namespace AtCoder.ABC081 {
    class B {
        static void Main() => Solve();

        static void Solve() {
#if DEBUG
            global::Common.ChangeStdIn();
#endif
            var N = int.Parse(Console.ReadLine());
            var ints = Array.ConvertAll(Console.ReadLine().Split(' '), int.Parse);

            var ans = 0;
            bool endFlg = false;
            while (!endFlg) {
                for (int i = 0; i < N; i++) {
                    if (ints[i] % 2 == 1) {
                        endFlg = true;
                        break;
                    } else {
                        ints[i] /= 2;
                    }
                }

                if (!endFlg) {
                    ans++;
                }
            }

            Console.WriteLine(ans);
        }
    }
}