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: Wrong Answer)

#include<stdio.h>
#include<string.h>
int syou,p = 0;
int saiki(int n){
    p++;
    if(n / 2 == 1){
        return n;
        p = 0;
    }
    return saiki(n / 2);
}

int main(void)
{
    int N,i,memo[210];
    int k = 2000;
    scanf("%d",&N);
    int A[210];
    for(i = 0;i < N;i++){
        scanf("%d",&A[i]);
    }
    for(i = 0;i < N;i++){
        if(A[i] % 2 == 0){
            memo[i] = saiki(A[i]);
            //printf("%d\n",memo[i]);
            if(k > memo[i]){
                k = memo[i];
            }
        }
        else if(A[i] % 2 == 1){
            k = 0;
            break;
        }

    }
    printf("%d\n",k);

    return 0;
}