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 C (GCC 5.4.1) (judge verdict: Time Limit Exceeded)

    #include<stdio.h>
    int main()
    {
      int N;
      scanf("%d", &N);
      int A[N];
      int i;
      int a = 1;
      int res = 0;
      int exist = 0; 
           for(i= 0; i = N; i++){
                    scanf("%d",&A[i]);
           }
            while (a == 1) {
              exist = 0;  
              for (i = 0; i < N; ++i) {
              if (A[i] % 2 == 1) exist = 1; 
              }
                     
              if (exist == 1) break;  
              
              for (i = 0; i < N; ++i) {
                A[i] /= 2;
              }
              res++;  
            }
                     
      		printf("%d \n",res);
      		return 0;
    }