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++14 (GCC 5.4.1) (judge verdict: Accepted)

/*
ID: arthurc4
TASK: test
LANG: C++11
*/

#include <iostream>
#include <fstream>
#include <vector>
#include <string>
#include <cmath>
#include <algorithm>
#include <map>
#include <queue>
#include <bitset>
#include <random>

using namespace std;

typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<vvi> vvvi;

typedef long long ll;
typedef vector<ll> vll;
typedef vector<vll> vvll;

typedef vector<string> vs;
typedef vector<vs> vvs;

typedef vector<bool> vb;
typedef vector<vb> vvb;

typedef map<string,int> msi;
typedef map<int,int> mii;

typedef pair<int,int> pii;
typedef pair<ll,ll> pll; // note 'single' ls

typedef vector<pii> vpii;
typedef vector<pll> vpll;

#define REP(i, a, b) \
for (int i = int(a); i <= int(b); i++)

#define REPb(j, d, c) \
for (int j = int(d); j >= int(c); f--)

#define pb \
push_back

#define ff \
first

#define ss \
second

// LL OR INT ???
// DELETED IFSTREAM ???
int main()
{
	//ifstream cin("input.txt");
	//ifstream cin("test.in");
	//ofstream cout("test.out");

	int n;
	cin >> n;

	int operations = 0;

	REP(i, 1, n)
	{
		int a;
		cin >> a;

		while(a%2 == 0)
		{
			operations+=1;
			a/=2;
		}
	}

	cout << operations << endl;

	return 0;
}