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)

#[allow(non_snake_case)]

fn main() {
    read_line();
    let mut A = read_line_split::<u32>(' ');
    let mut i = 0;
    while A.iter().all(|a| a%2 == 0) {
        A = A.iter().map(|a| a/2).collect();
        i += 1;
    }

    println!("{}", i);
}


use ioutils::*;
#[allow(dead_code)]
mod ioutils {
    use std;
    pub fn read_line() -> String {
        let mut s = String::new();
        std::io::stdin().read_line(&mut s).unwrap();
        s.pop();
        s
    }

    pub fn read_line_num<T>() -> T
        where T: std::str::FromStr, <T as std::str::FromStr>::Err: std::fmt::Debug
    {
        let mut s = String::new();
        std::io::stdin().read_line(&mut s).unwrap();
        s.pop();
        s.parse::<T>().unwrap()
    }

    pub fn read_line_split<T>(sep: char) -> Vec<T>
    where T: std::str::FromStr, <T as std::str::FromStr>::Err: std::fmt::Debug
    {
        let mut s = String::new();
        std::io::stdin().read_line(&mut s).unwrap();
        s.pop();
        s.split(sep).map(|s| s.parse::<T>().unwrap()).collect()
    }
}