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# (.NET Core 3.1.201) (judge verdict: Runtime Error)

using System;
using System.Globalization;
using System.IO;
using System.Text;
using static Scanner;

class Program
{
    static void Main(string[] args) {
        var writer = new StreamWriter(Console.OpenStandardOutput()) {AutoFlush = false};
        Console.SetOut(writer);
        Solve();
        Console.Out.Flush();
    }
    static void Solve() {
        var N = ScanInt();
        var count = 0;
        for (int i = 0; i < N; i++) {
            var a = ScanInt();
            while (a > 0 && a % 2 == 0) {
                a /= 2;
                count++;
            }
        }
        Console.WriteLine(count);
    }
}

public static class Scanner
{
    static readonly byte[] buffer = new byte[1024];
    static int length, p;
    static bool isEof;
    private static byte ConsoleIn() {
        var stream = Console.OpenStandardInput();
        if (isEof) return 0;
        if (p < length) return buffer[p++];
        p = 0;
        if ((length = stream.Read(buffer, 0, 1024)) > 0) return buffer[p++];
        isEof = true;
        return 0;
    }
    private static char Char() {
        var let = ConsoleIn();
        while ((let < '!' || '~' < let) && !isEof) let = ConsoleIn();
        return (char) let;
    }
    public static string Scan() {
        var sb = new StringBuilder();
        for (var let = Char(); '!' <= let && let <= '~'; let = (char) ConsoleIn()) {
            sb.Append(let);
        }
        return sb.ToString();
    }
    public static int ScanInt() {
        var temp = 0;
        for (var let = Char(); '0' <= let && let <= '9'; let = (char) ConsoleIn()) {
            temp = temp * 10 + let - '0';
        }
        return temp;
    }
}