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: Accepted)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
class P
{
    static void Main()
    {
        int n = ReadInt();
        int[] a = ReadInts(n);
        int ans = 0;
        for (int i = 0; i < n; i++)
            ans += calc(a[i]);
        WriteLine(ans);
    }
    static int calc(int n)
    {
        int c = 0;
        for (; ; )
        {
            if (n % 2 == 0)
            {
                c++;
                n /= 2;
                continue;
            }
            break;
        }
        return c;
    }
    //以下標準出入力用のメソッド
    [System.Runtime.InteropServices.DllImport("msvcrt.dll")]
    private static extern int scanf(string format, out long l);
    [System.Runtime.InteropServices.DllImport("msvcrt.dll")]
    private static extern int scanf(string format, out double l);
    [System.Runtime.InteropServices.DllImport("msvcrt.dll")]
    private static extern int scanf(string format, out char c);
    public static long ReadLong()
    {
        long l;
        scanf("%ld", out l);
        return l;
    }
    public static int ReadInt()
    {
        return (int)ReadLong();
    }
    public static int[] ReadInts(int n)
    {
        int[] nums = new int[n];
        for (int i = 0; i < n; i++)
            nums[i] = ReadInt();
        return nums;
    }
    public static long[] ReadLongs(int n)
    {
        long[] nums = new long[n];
        for (int i = 0; i < n; i++)
            nums[i] = ReadLong();
        return nums;
    }
    public static string[] ReadStrs(int n)
    {
        string[] s = new string[n];
        for (int i = 0; i < n; i++)
            s[i] = ReadStr();
        return s;
    }
    public static double ReadDouble()
    {
        double d;
        scanf("%lf", out d);
        return d;
    }
    public static char ReadChar()
    {
        char c;
        while (true)
        {
            scanf("%c", out c);
            if (c != '\n' && c != ' ')
                break;
        }
        return c;
    }
    public static string ReadStr()
    {
        StringBuilder sb = new StringBuilder();
        char c;
        do
        {
            scanf("%c", out c);
        } while (c == '\n' || c == ' ');
        sb.Append(c);
        while (true)
        {
            scanf("%c", out c);
            if (c == '\n' || c == ' ')
                break;
            sb.Append(c);
        }
        return sb.ToString();
    }
    public static string ReadLine()
    {
        StringBuilder sb = new StringBuilder();
        char c;
        do
        {
            scanf("%c", out c);
            if (c != '\n')
                sb.Append(c);
        } while (c != '\n');
        return sb.ToString();
    }
    [System.Runtime.InteropServices.DllImport("msvcrt.dll")]
    private static extern void printf(string s);
    public static void Write(string s) { printf(s); }
    public static void Write(char c) { printf(c.ToString()); }
    public static void Write(long n) { printf(n.ToString()); }
    public static void Write(int n) { printf(n.ToString()); }
    public static void Write(double d) { printf(d.ToString()); }
    public static void WriteLine() { printf("\n"); }
    public static void WriteLine(string s) { printf(s + "\n"); }
    public static void WriteLine(char c) { WriteLine(c.ToString()); }
    public static void WriteLine(long n) { WriteLine(n.ToString()); }
    public static void WriteLine(int n) { WriteLine(n.ToString()); }
    public static void WriteLine(double d) { WriteLine(d.ToString()); }
    public static void WriteLine(string[] s)
    {
        for (int i = 0; i < s.Length - 1; i++)
            Write(s[i] + " ");
        WriteLine(s[s.Length - 1]);
    }
    public static void WriteLine(char[] c)
    {
        for (int i = 0; i < c.Length - 1; i++)
            Write(c[i] + " ");
        WriteLine(c[c.Length - 1]);
    }
    public static void WriteLine(long[] n)
    {
        for (int i = 0; i < n.Length - 1; i++)
            Write(n[i] + " ");
        WriteLine(n[n.Length - 1]);
    }
    public static void WriteLine<T>(ICollection<T> ic)
    {
        foreach (var i in ic)
            Write(i + " ");
        WriteLine("\b");
    }
    public static void WriteLine(int[] n)
    {
        for (int i = 0; i < n.Length - 1; i++)
            Write(n[i] + " ");
        WriteLine(n[n.Length - 1]);
    }
    public static void WriteLine(double[] d)
    {
        for (int i = 0; i < d.Length - 1; i++)
            Write(d[i] + " ");
        WriteLine(d[d.Length - 1]);
    }
    public static void WriteLines(string[] s) { foreach (var i in s) WriteLine(i); }
    public static void WriteLines(char[] c) { foreach (var i in c) WriteLine(i); }
    public static void WriteLines(long[] c) { foreach (var i in c) WriteLine(i); }
    public static void WriteLines(int[] c) { foreach (var i in c) WriteLine(i); }
    public static void WriteLines(double[] d) { foreach (var i in d) WriteLine(i); }
    public static void WriteLines<T>(ICollection<T> ic) { WriteLines(ic.ToArray()); }
}