*3 or /2

AtCoder

IDabc100_c

Time2000ms

Memory256MB

Difficulty—

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: $N$ $a_1$ $a_2$ $a_3$ $...$ $a_N$ [samples]

Samples

Input #1

3
5 2 4

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 ${135, 9, 3}$.

Input #2

4
631 577 243 199

Output #2

0

No operation can be performed since all the elements are odd. Thus, the answer is $0$.

Input #3

10
2184 2126 1721 1800 1024 2528 3360 1945 1280 1776

Output #3

API Response (JSON)

{
  "problem": {
    "name": "*3 or /2",
    "description": {
      "content": "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 wi",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc100_c"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "As AtCoder Beginner Contest 100 is taking place, the office of AtCoder, Inc. is decorated with a sequence of length $N$, $a = $ {$a_1, a_2, a_3, ..., a_N$}.  \nSnuke, an employee, would like to play wi...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments