p03325 AtCoder Beginner Contest 100 - *3 or /2
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.

Examples

Input

3
5 2 4


Output

3


Input

4
631 577 243 199


Output

0


Input

10
2184 2126 1721 1800 1024 2528 3360 1945 1280 1776


Output

39
```python
_=input();print(sum(map(lambda x:(bin(int(x))[:2:-1]+"1").index("1"),input().split()))) 
```