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 PHP (5.6.30) (judge verdict: Wrong Answer)

<?php
#include <stdio.h>
# 整数の入力
fscanf(STDIN, "%d", $N);
fscanf(STDIN, "%d", $chars);
$array = explode(" ", $chars);

$isOddNumberExists = false;
$count = 0;

while(!$isOddNumberExists){
  for($i=0;$i<$N;$i++){
    if($array[$i] %2 == 0){
      $array[$i] = $array[$i] / 2;
    } else {
      $isOddNumberExists = true;
      break;
    }
  }
  $count ++;
}

echo $count."\n";