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::Read;
use std::vec::Vec;

macro_rules! get {
    // 1行 1数値を取得する。
    ($t: ty) => {{
        let mut line: String = String::new();
        std::io::stdin().read_line(&mut line).unwrap();
        line.trim().parse::<$t>().unwrap()
    }};
    // 1行n数値を、全部同じ型でパースしてVecで返す。
    ($t:ty ;;) => {{
            let mut line: String = String::new();
            std::io::stdin().read_line(&mut line).unwrap();
            line.split_whitespace().map(|text| text.parse::<$t>().unwrap()).collect::<Vec<_>>()
    }};
}

fn main() {
    let N = get!(i32);
    let vec: Vec<i32> = get!(i32 ;;);
    
    let mut count = 0;
    let mut multiple_of_two = 2;


    'outer: loop{
        let vec = vec.clone();
        for i in vec{
            match i % multiple_of_two == 0{
                true => (),
                false => break 'outer,
            };
        }
        count += 1;
        multiple_of_two *= 2;
    }
    println!("{}", count)

}