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 Rust (1.15.1) (judge verdict: Accepted)

use std::io;

macro_rules! read {
    ($t: ty) => {
        {
            let mut input = String::new();
            io::stdin().read_line(&mut input).expect("could not read input");
            input.trim().parse::<$t>().unwrap()
        };
    };
    ($($t: ty),*) => {
        {
            let mut input = String::new();
            io::stdin().read_line(&mut input).expect("could not read input");
            let mut iter = input.trim().split_whitespace();
            ($(iter.next().unwrap().parse::<$t>().unwrap()), *)
        };
    }
}
macro_rules! read_vec {
    ($t: ty) => {
        {
            let mut input = String::new();
            io::stdin().read_line(&mut input).expect("could not read input");
            let iter = input.trim().split_whitespace();
            iter.map(|x| x.parse::<$t>().unwrap()).collect::<Vec<$t>>()
        };
    }
}
macro_rules! read_chars {
    () => {
        {
            let mut input = String::new();
            io::stdin().read_line(&mut input).expect("could not read input");
            input.trim().chars().collect::<Vec<char>>()
        };
    }
}

static M: u64 = 1000000007;

fn main() {
    let n = read!(usize);
    let a = read_vec!(i32);
    let mut cnt = 1;
    while true {
        if a.iter().filter(|&&ai| ai % i32::pow(2, cnt) == 0).count() != n {
            break
        }
        cnt = cnt + 1;
    }
    println!("{}", cnt - 1);
}