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;

namespace Atcoder_C_times3ordivide2
{
	class Program
	{
		static void Main(string[] args)
		{
			int N = int.Parse(Console.ReadLine());

			int[] num = new int[N];

			string[] buff = Console.ReadLine().Split(' ');

			for (int i = 0; i < buff.Length; i++) num[i] = int.Parse(buff[i]);

			long[] C = new long[N + 1];
			C[0] = 0;

			for(int i = 1; i <= N; i++)
			{
				if( num[i- 1] % 2 != 0)
				{
					C[i] = C[i - 1];
				}
				else
				{
					long count = 0;
					while( num[i-1] % 2 == 0)
					{
						num[i - 1] = num[i - 1] / 2;
						count++;
					}
					C[i] = C[i - 1] + count;
				}
			}

			Console.WriteLine(C[N]);
		}
	}
}