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::prelude::*;
use std::str::FromStr;
pub struct Scanner<R: Read>(R);
impl<R: Read> Scanner<R> {
    pub fn new(reader: R) -> Self {
        Self(reader)
    }
    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 { std::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 (stdin, stdout) = (std::io::stdin(), std::io::stdout());
    let mut sc = Scanner::new(stdin.lock());
    let mut out = std::io::BufWriter::new(stdout.lock());
    solve(&mut sc, &mut out);
    out.flush().ok().unwrap();
}
fn solve(sc: &mut Scanner<std::io::StdinLock>, out: &mut std::io::BufWriter<std::io::StdoutLock>) {
    let n = sc.read();

    println!(
        "{}",
        (0..n)
            .map(|_| sc.read::<u32>().trailing_zeros())
            .min()
            .unwrap()
    );
}