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: Runtime Error)

(defun shift-only (n a)
  (let ((res 0)
	(exist-odd nil))
    (loop
      ;; (dotimes (i n)
      ;; 	(if (not (zerop (rem (aref a i) 2)))
      ;; 	    (setf exist-odd t)))
      (if (oddp (apply #'+ a;; (coerce temp 'list)
		       ))
	  (setf exist-odd t))
      (if (eq exist-odd t) (return))
      (dotimes (i n)
	;; (setf (aref a i) (/ (aref a i) 2))
	((setf (nth a i) (/ (nth a i) 2))))
      (incf res))
    res))


(defun create-data ()
  (let* ((n (read))
	 (a ;; (make-array `(,n)) 
	    (loop for i to 10 collect i)))
    (dotimes (i n)
      ;; (setf (aref a i) (read))
      (setf (nth a i) (read)))
    (values n a)))

(multiple-value-bind (n a) (create-data)
  (format t "~a~%" (shift-only n a)))