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 Perl (v5.18.2) (judge verdict: Accepted)

#!/usr/bin/env perl

use strict;
use warnings;
use 5.18.2;

my $input = do { local $/; <> };

chomp $input;

my ($amount, $numbers) = split /\n/, $input;

my @numbers = split / /, $numbers;

say run(\@numbers);

sub run {
    my ($numbers, $count) = @_;

    $count //= 0;

    if (!has_odd_number(\@numbers)) {
        $count++;
        @$numbers = div_by_2(\@numbers);
    } else {
        return $count;
    }

    run($numbers, $count);
}

sub div_by_2 {
    my $numbers = shift;
    return map { $_ / 2 } @$numbers;
}

sub has_odd_number {
    my $numbers = shift;
    return grep { $_ % 2 == 1 } @$numbers;
}