AtCoder Beginner Contest 100
C
*3 or /2
AtCoder
⌀ 320
原题
← BD →
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Problem Statement

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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.

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Specifically, he would like to repeat the following operation as many times as possible:

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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.

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At most how many operations can be performed?

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Constraints

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  • $N$ is an integer between $1$ and $10 \ 000$ (inclusive).
  • $a_i$ is an integer between $1$ and $1 \ 000 \ 000 \ 000$ (inclusive).
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Input

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Input is given from Standard Input in the following format:

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N
a_1 a_2 a_3 ... a_N

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Output

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Print the maximum number of operations that Snuke can perform.

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样例

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
39
题目信息
题号
abc100_c
时间限制
2 s
内存限制
976 MB

题面与样例版权归 AtCoder 及出题人所有;中文翻译由 AI 生成(CI 管线),如有出入请以原文为准。