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)

#define _CRT_SECURE_NO_WARNINGS
#include <cstdio>
#include <cmath>
#include <cstdlib>
#include <vector>
#include <algorithm>
#include <functional>
#include <ccomplex>
#include <unordered_map>
#include <cstring>
#include <iostream>
#include <numeric>
#include <sstream>
#include <set>
#include <tuple>
#include <iomanip>

using namespace std;
#define MAX 1LL << 60

typedef long long ll;

#define rep(i, s, e) for(ll i = s; i < e; i++)
#define repR(i, s, e) for(ll i = s; i > e; i--)
#define reft0(i, j) setfill('0') << setw(i) << j

template<class T> inline bool chMax(T& a, T b){ if (a < b) { a = b; return true; } return false; }
template<class T> inline bool chMin(T& a, T b){ if (a > b) { a = b; return true; } return false; }

int main(){
	ll N;
	vector<ll> A;
	cin >> N;
	rep(i, 0, N){
		ll tmp;
		cin >> tmp;
		A.push_back(tmp);
	}
	ll cnt = 0;
	while (true){
		ll tmpCnt = 0;
		rep(i, 0, N){
			if (0 != A[i] % 2){
				break;
			}
			A[i] /= 2;
			tmpCnt++;
		}
		if (N != tmpCnt){
			break;
		}
		cnt++;
	}
	cout << cnt << endl;
 	return 0;
}