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 Common Lisp (SBCL 1.1.14) (judge verdict: Wrong Answer)

(defun odd-helper (n)
  (find-if #'oddp n))

(defun zero-helper (n)
  (find-if #'zerop n))

(defun main (&rest n)
  (shiftonly 0 n))

(defun shiftonly (ans lis)
  (if (odd-helper lis)
      (format t "~a~%" ans)
      (if (zero-helper lis)
          (format t "~a~%" ans)
          (shiftonly (+ 1 ans) (mapcar #'(lambda (x) (/ x 2)) lis)))))

(read)
(main (read))