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 (1.42.0) (judge verdict: Accepted)

use std::io::{self, Read, Write};
use std::str::{self, FromStr};

pub struct IO<R: Read, W: Write>(R, io::BufWriter<W>);

impl<R: Read, W: Write> IO<R, W> {
    pub fn new(reader: R, writer: W) -> Self {
        Self(reader, io::BufWriter::new(writer))
    }

    pub fn read<T: FromStr>(&mut self) -> T {
        let token = self
        .0
        .by_ref()
        .bytes()
        .map(|b| b.unwrap())
        .skip_while(|&b| (b as char).is_whitespace())
        .take_while(|&b| !(b as char).is_whitespace())
        .collect::<Vec<u8>>();

        unsafe { str::from_utf8_unchecked(token.as_slice()) }
        .parse()
        .ok()
        .expect("Can't parse it.")
    }

    pub fn vec<T: FromStr>(&mut self, n: usize) -> Vec<T> {
        (0..n).map(|_| self.read()).collect()
    }

    pub fn chars(&mut self) -> Vec<char> {
        self.read::<String>().chars().collect()
    }
}


fn main() {
    let (r, w) = (io::stdin(), io::stdout());
    let mut rw = IO::new(r.lock(), w.lock());

    let n: usize = rw.read();
    let s: Vec<u32> = rw.vec(n);

    let ans = s.iter()
    .map(|&a| a.trailing_zeros())
    .min()
    .unwrap();

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