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 JavaScript (node.js v5.12) (judge verdict: Wrong Answer)

// inputに入力データ全体が入る
function Main(input) {
    input = input.split('\n');
    //文字列から10進数に変換するときはparseIntを使います
    var n = parseInt(input[0], 10);
    var ai = input[1].split(' ');
    var count = 0;
    while (count < n) {
        ai[count] = parseInt(ai[count], 10);
        count++;
    }
    var max = 1000000000;
    var ans_count = 0;

    while (true) {
        count = 0;
        var check = false;
        while ((check != true) && (count < ai.length)) {
            if (ai[count] % 2 == 0) {
                check = true;
            }
            count++;
        }
        if (check) {
            var two_check = false;
            count = 0;
            while (count < ai.length) {
                if ((ai[count] % 2 == 0 && two_check == false) || ai[count] * 3 > max) {
                    ai[count] /= 2;
                    two_check = true;
                } else {
                    ai[count] *= 3;
                    if (ai[count] > max) {
                        check = false;
                        break;
                    }
                }
                count++;
            }
        }
        if (check) {
            ans_count++;
        } else {
            break;
        }
    }
    console.log(ans_count);
}
//*この行以降は編集しないでください（標準入出力から一度に読み込み、Mainを呼び出します）
Main(require("fs").readFileSync("/dev/stdin", "utf8"));