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 Fortran (gfortran v4.8.4) (judge verdict: Accepted)

      PROGRAM B
      IMPLICIT NONE
      INTEGER :: N, i, ans, f,g, counter, index, s
      INTEGER,ALLOCATABLE :: A(:)
      LOGICAL :: flag1
      
      read*,N
      ALLOCATE( A(N) )
      read*,A(1:N)
      
      ans = 0
      flag1 = .false.

      
      outer:DO s = 1,10**9
      
        inner:DO index=1,N
          IF( .not.MOD(A(index),2)==0 )THEN
            flag1 = .true.
          END IF
        END DO inner
        
        IF(flag1)THEN
          EXIT
        END IF
        A(:) = A(:)/2
        ans = ans + 1
        
      END DO outer
      
      
      
      print'(I0)', ans
      
      
      
      
      END PROGRAM