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<math.h>

int change(long long int a[]);
int count(long long int a);

int main(void){
    int n;
    long long int a[10000];
    int i;
    int c=0;
    scanf("%d", &n);
    for(i=0; i<n; i++){
        scanf("%d", &a[i]);
    }
    a[n] = 0;
    while(change(a)){
        c++;
    }
    printf("%d\n", c);
    return 0;
}

int change(long long int a[]){
    int i;
    int c=0;
    int max=0;
    int pos=-1;
    int tmp;
    for(i=0; a[i]>0;i++){
        if(a[i] % 2 == 0){
            tmp = count(a[i]);
            if(max==0){
                max = tmp;
                a[i] /= 2;
                pos = i;
            }else if(max<tmp){
                a[pos] *= 6;
                pos = i;
                a[i] /= 2;
                max = tmp;
            }else if(max=tmp){
                if(a[pos]*2 < a[i]){
                    a[pos] *= 6;
                    a[i] /= 2;
                    pos = i;
                }
            }else{
                a[i] *= 3;
            }
            c++;
        }
    }
    return c;
}

int count(long long int a){
    int ct=1;
    long long int tmp=a;
    while(!(tmp % (long long int)pow(2, ct))){
        ct++;
    }
    return ct-1;
}