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 JavaScript (Node.js 12.16.1) (judge verdict: Accepted)

var try_count = 0;
function Main(input) {
  var input_splited = input.split('\n');
  var n = input_splited[0];
  var a_array = input_splited[1].split(' ');
  var half_a_array = [];
  
  var all_even = true;
  for (var i = 0; i < a_array.length; i+=1) {
    var n_a = parseInt(a_array[i], 10);
    if (n_a % 2 != 0) {
      all_even = false;
      break;
    } else {
      half_a_array.push(n_a / 2);
    }
  }
 
  if (!all_even) {
    console.log(try_count);
    return;
  }

  try_count += 1;
  var next_input = n+'\n'+half_a_array.join(' ');
  Main(next_input);
}
Main(require("fs").readFileSync("/dev/stdin", "utf8"));