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++14 (GCC 5.4.1) (judge verdict: Accepted)

/**
 * @copyright (c) 2020 Daisuke Hashimoto
 */

#include <bits/stdc++.h>
using namespace std;
using ll = int64_t;
using Pair = pair<int64_t, int64_t>;

// std::cout << std::setprecision(20) << 1.1 << endl;

int main() {
  cin.tie(0);
  ios::sync_with_stdio(false);

  int64_t N;
  cin >> N;
  vector<int64_t> A(N);
  for (int64_t i = 0; i < N; ++i) {
    cin >> A[i];
  }
  int64_t count = 0;
  bool loop_continue = true;
  while (loop_continue) {
    for (int64_t i = 0; i < N; ++i) {
      if (A[i] % 2 == 0) {
        A[i] /= 2;
      } else {
        loop_continue = false;
        break;
      }
    }
    if (loop_continue) {
      ++count;
    }
  }
  cout << count << endl;

  return 0;
}