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)

#include<iostream>
#include<map>
#include<set>
#include<string>
#include<utility>
#include<vector>
#include<cmath>
#include<algorithm>
#define rep(i, a, b) for(int i=a; i<b; i++)
#define rrep(i, a, b) for(int i=b-1; i>=a; i--)
#define REP(i, n) for(int i=0; i<n; i++)
#define rREP(i, n) for(int i=n-1; i>=0; i--)
#define MAX 200
typedef long long ll;
using namespace std;

int main(void){
  int n;
  int a[MAX];
  int pow2 = 2, ans = 0;
  cin >> n;
  REP(i, n) cin >> a[i];
  while(true){
    REP(i, n) if(a[i]%pow2!=0){
      cout << ans << endl;
      return 0;
    }
    pow2*=2;
    ans++;
  }
}