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)


fn main() {
    let mut dividingNumbers = (1..27).rev().map(|x:i32| 2_i32.pow(x as u32)).enumerate();
    // println!("{:?}", dividingNumbers);

    let mut inputs: Vec<u32> = read().trim().split_whitespace().map(|x| x.parse::<u32>().unwrap()).collect();
    // println!("{:?}", inputs);

    let mut count = 0;
    for (index, dividingNum) in dividingNumbers {
        // println!("{}", inputs.iter().all(|x| x%(dividingNum as u32)==0));
        if inputs.iter().all(|x| x%(dividingNum as u32)==0) {
            count = count + (26 - index);
            inputs = inputs.iter().map(|x| x/(dividingNum as u32)).collect();
        }
    }

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

fn read() -> String {
    let mut s = String::new();
    // 最初は無視
    std::io::stdin().read_line(&mut String::new());

    std::io::stdin().read_line(&mut s);
    s.to_string()
}