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: Time Limit Exceeded)

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

int main(void) {
  int N;
  int a[10000];
  int maxID=0;
  int count=0;
  int num=0;
  int first;
  char line[10000];
  char *tok;
  char sp[] = " ";

  fgets(line, 9999, stdin);
  sscanf(line, "%d", &N);

  fgets(line, 9999, stdin);
  line[strlen(line)-1] = '\0';

  tok = strtok(line, sp);
  while(tok != NULL){
    sscanf(tok, "%d", &a[count]);
    tok = strtok( NULL, sp);
    count++;
  }

  int i;

  count = 9999;
  while (count != 0) {
    count = 0;
    first=1;
    for (i=0; i<N; i++){
      if (a[i] % 2 == 0) {
	count++;
	if (first == 1) {
	  maxID = i;
	  first=0;
	} else {
	  if (a[maxID] < a[i]){
	    maxID = i;
	  }
	}
      }
    }

    if (count==0) {
      break;
    }
    
    for (i=0; i<N; i++){
      if (i==maxID) {
	a[i] /= 2;
      } else {
	a[i] *= 3;
      }
    }

    num++;
  }
  printf("%d\n", num);
  return 0;
}