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::{BufRead, BufReader};

fn main(){
    let lines = read::<String>();
    let a: Vec<i32> = 
        lines[1]
        .split(' ')
        .map(|i| i.parse().unwrap())
        .collect();
    println!("{}",solve(a, 0));
}

fn solve(a: Vec<i32>, c: i32) -> i32 {
    if a.iter().filter(|&i| i % 2 == 0).count() == a.len() {
        solve(a.iter().map(|i| i / 2).collect(), c + 1)
    } else {
        c
    }
}

fn read<T>() -> Vec<T>
where
  T: std::str::FromStr,
  T::Err: std::fmt::Debug,
{
    let lines: Vec<T> =
        BufReader::new(std::io::stdin())
        .lines()
        .map(|l| l.unwrap().parse::<T>().unwrap())
        .collect();
    lines
}