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)

macro_rules! input {
    ($t : ty) => {{
        use std::io::BufRead;
        let tmp_handle = std::io::stdin();
        let mut handle = tmp_handle.lock();
        let mut buf = String::new();
        handle.read_line(&mut buf).unwrap();
        let tmp_var: $t = buf.trim().parse().unwrap(); 
        buf.clear();
        tmp_var
    }};
    ($t : ty, $size : expr) => {{
        use std::io::BufRead;
        let tmp_handle = std::io::stdin();
        let mut handle = tmp_handle.lock();
        let mut buf = String::new();
        handle.read_line(&mut buf).unwrap();
        let tmp_var: $t = buf.trim().split_whitespace()
            .map(|a| a.parse().unwrap()).collect();
        buf.clear();
        tmp_var
    }};
}
fn main() {
    let n = input!(usize);
    let mut nums: Vec<usize> = input!(Vec<usize>, n);
    let mut count = 0;
    while nums.iter().filter(|&&a| a % 2 == 0 && a != 0).collect::<Vec<&usize>>().len() == n {
        for num in &mut nums.iter_mut() {
            *num /= 2; 
        }
        count += 1;
    }
    println!("{}", count);
}