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 <iostream>
#include <vector>  
using namespace std;

int main(){
    int N, counter=0;
    cin >> N;
    vector<int> A(N);
    for (int i=0; i < N; i++) {cin >> A[i];}

    while(true){
        
        bool exist_odd = false; 
        for (int x : A) {
             if (x%2 != 0) {exist_odd = true;}
             }
        
        if (exist_odd) break;  // 奇数があったら break

        // 操作を行えるなら操作を実際に行う
        for (int i = 0; i < N; ++i) {
            A[i] /= 2;
        }
        ++counter;  // 操作回数をインクリメント
    }
    cout << counter << endl;
}