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 Rust (1.15.1) (judge verdict: Accepted)

#![allow(non_snake_case)]

use std::io;
use std::str::FromStr;

macro_rules! parse_tuple {
    ($($t: ty),+) => ({
        let mut a_str = String::new();
        io::stdin().read_line(&mut a_str).expect("read error");
        let mut a_iter = a_str.split_whitespace();
        (
            $(
                a_iter.next().unwrap().parse::<$t>().expect("parse error"),
            )+
        )
    })
}

fn parse_vec<T: FromStr>() -> Vec<T> {
    let mut tmp = String::new();
    io::stdin().read_line(&mut tmp).unwrap();
    return tmp.split_whitespace().filter_map(|s| s.trim().parse().ok()).collect();
}

fn main() {
    parse_tuple!(usize);
    let a = parse_vec::<u64>();
    let mut count = 0;
    for v in a {
        count += v.trailing_zeros();
    }
    println!("{}", count);
}