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;

fn main() {
    b_shift_only();
}

fn split_input(input: &str) -> Vec<i32> {

    let vec: Vec<&str> = input.split(" ").collect();
    let mut int_vec: Vec<i32> = Vec::new();

    for v in vec {
        //int_vec.push(
        let input_num: i32 = match v.trim().parse() {
            Ok(num) => num ,
            Err(_)  => panic!("input wrong number."),
        };

        int_vec.push(input_num);
    }

    int_vec
}

fn b_shift_only() {

    let mut _n = String::new();
    io::stdin().read_line(&mut _n)
        .expect("Failed to read line")
        ;

    let mut input_str = String::new();
    io::stdin().read_line(&mut input_str)
        .expect("Failed to read line")
        ;

    let input_numbers = split_input(&input_str);


    println!("{}", count_vec(&input_numbers));

}

fn count_vec(numbers: &Vec<i32>) -> i32 {

    let mut all_even = true;
    for n in numbers {
        if n % 2 == 1 {
            all_even = false;
            break;
        }
    }

    if all_even {
        let bisected = bisect(&numbers);
        return 1 + count_vec(&bisected);
    }

    0
}

fn bisect(numbers: &Vec<i32>) -> Vec<i32> {

    let mut new_vec: Vec<i32> = Vec::new();
    for n in numbers {
        new_vec.push( n / 2 );
    }
    new_vec
}