Problem:
Score: 300 points

Problem Statement

As AtCoder Beginner Contest 100 is taking place, the office of AtCoder, Inc. is decorated with a sequence of length N, a = {a_1, a_2, a_3, ..., a_N}.

Snuke, an employee, would like to play with this sequence.

Specifically, he would like to repeat the following operation as many times as possible:

For every i satisfying 1 \leq i \leq N, perform one of the following: "divide a_i by 2" and "multiply a_i by 3".
Here, choosing "multiply a_i by 3" for every i is not allowed, and the value of a_i after the operation must be an integer.

At most how many operations can be performed?

Constraints

N is an integer between 1 and 10 \ 000 (inclusive).

a_i is an integer between 1 and 1 \ 000 \ 000 \ 000 (inclusive).

Input

Input is given from Standard Input in the following format:

N
a_1 a_2 a_3 ... a_N

Output

Print the maximum number of operations that Snuke can perform.

Sample Input 1

3
5 2 4

Sample Output 1

3

The sequence is initially {5, 2, 4}. Three operations can be performed as follows:

First, multiply a_1 by 3, multiply a_2 by 3 and divide a_3 by 2. The sequence is now {15, 6, 2}.

Next, multiply a_1 by 3, divide a_2 by 2 and multiply a_3 by 3. The sequence is now {45, 3, 6}.

Finally, multiply a_1 by 3, multiply a_2 by 3 and divide a_3 by 2. The sequence is now {135, 9, 3}.

Sample Input 2

4
631 577 243 199

Sample Output 2

0

No operation can be performed since all the elements are odd. Thus, the answer is 0.

Sample Input 3

10
2184 2126 1721 1800 1024 2528 3360 1945 1280 1776

Sample Output 3

39

Solution in C# (Mono 4.6.2.0) (judge verdict: Time Limit Exceeded)

using System;
using System.Linq;
using System.Collections.Generic;
using static System.Console;


class Program {
    private static int res = 0;

    internal static void Main(string[] args)
    {
        int N = int.Parse(ReadLine());
        var a = ReadLine().Split(' ').Select(s => int.Parse(s)).ToList();
        Boolean loop = true;

        if (!a.Any(i => i % 2 == 0)) {
            WriteLine(0);
            return;
        }

        List<int> tmp;

        while (loop) {
            res++;
            tmp = new List<int>(a);
            a = a.Select(i => i * 3).ToList();
            int max = a.Where(i => i % 2 == 0)
                       .Max();

            for (int i = 0; i < a.Count; i++) {
                if (a[i] == max)
                {
                    a[i] = tmp[i] / 2;
                    max = -1;
                }
            }

            loop = a.Any(i => i % 2 == 0);
        }

        WriteLine(res);
    }
}