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 9.2.1) (judge verdict: Accepted)

/*
  Contest 081
  B - Shift only
  Rakesh Kumar --> 14/09/2020
 */

#include <bits/stdc++.h>

inline bool all_even(std::vector<int>& v) {
    for (std::size_t i = 0; i < v.size(); ++i) {
        if ((v[i] & 1) == 1)
            return false;
        v[i] >>= 1;
    }
    return true;
}

int main() {
    std::ios_base::sync_with_stdio(false);
    std::cin.tie(0); std::cout.tie(0);

    int n = 0;
    std::cin >> n;
    std::vector<int> v;
    while (n--) {
        int e = 0;
        std::cin >> e;
        v.emplace_back(e);
    }

    int count = 0;
    while (all_even(v)) ++count;
    std::cout << count << std::endl;

    return 0;
}