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 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include <stdio.h>
#include <stdlib.h>
#include <string.h>

int main(int argc, char **argv)
{
  char buf[10];
  int c, index;
  int N;
  int *nums;
  int ans;

  index = 0;
  while (c = getchar(), c != '\n') {
    buf[index++] = c;
  }

  N = atoi(buf);

  nums = (int *)malloc(sizeof(int) * N);

  for (int i = 0; i < N ; i++) {
    index = 0;
    while (c = getchar(), c != '\n' && c != ' ') {
      buf[index++] = c;
    }
    nums[i] = atoi(buf);
  }

  ans = 0;
  for (int i = 0; i < N; i++) {
    /* printf("%d", nums[i]); */
    while (nums[i] > 0 && nums[i] % 2 == 0) {
      ans++;
      nums[i] /= 2;
      /* printf("=>%d", nums[i]); */
    }
    /* printf("\n"); */
  }

  printf("%d\n", ans);

  return 0;
}