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 v5.12) (judge verdict: Accepted)

function Main(input) {
  var In = input.split('\n');
  var num = In[1].split(' ');
  var count = 0;
  
  while(true) {
    var a = true;
    var length = In[0];
    for(var i = 0; i < length; i++){
      if(num[i]%2 == 0){
        num[i] = num[i] / 2;
      } else if(num[i] % 2 != 0){
        a = false;
      }
    }
    
    if(a == false){
      break;
    }
    count += 1;
  }
  console.log(count);
}

Main(require("fs").readFileSync("/dev/stdin", "utf8"));