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::*;

fn main() {
    let mut n = String::new();
    std::io::stdin().read_line(&mut n).unwrap();

    let mut nums = String::new();
    std::io::stdin().read_line(&mut nums).unwrap();
    let nums: Vec<&str> = nums.trim_right().split(" ").collect();

    let mut vec_a: Vec<i32> = Vec::new();
    for num in nums {
        let n: i32 = num.parse::<i32>().unwrap();
        vec_a.push(n);
    }

    let cnt = count(vec_a, 0);

    let out = stdout();
    let mut out = out.lock();
    writeln!(out, "{}\n", cnt).unwrap();

}

fn count(nums: Vec<i32>, cnt: i32) -> i32 {
    let mut new_nums: Vec<i32> = Vec::new();

    for num in nums {
        if num % 2 == 0 {
            let n: i32 = num / 2;
            new_nums.push(n);
        } else { 
            return cnt;
        }
    }

    count(new_nums, cnt + 1)
}