cp.nvim/tests/fixtures/atcoder_task_abc100_c.html
2025-10-23 22:12:23 -04:00

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<p>Time Limit: 2 sec / Memory Limit: 976 MiB</p>
<div id="task-statement">
<span class="lang">
<span class="lang-ja">
<p>配点: <var>300</var></p>
<div class="part">
<section>
<h3>問題文</h3>
<p>
AtCoder Beginner Contest 100 の開催にともなって, AtCoder
社では長さ <var>N</var> の数列 <var>a = </var>{<var
>a_1, a_2, a_3, ..., a_N</var
>} が飾られることになった. <br />
社員のすぬけ君は, この数列で遊んでみようと思った.
</p>
<p>
具体的には,
以下の操作をできるだけ多くの回数繰り返そうと思った.
</p>
<pre><var>1 \leq i \leq N</var> を満たす全ての <var>i</var> に対して, それぞれ「<var>a_i</var> の値を <var>2</var> で割る」「<var>a_i</var> の値を <var>3</var> 倍する」のどちらかを行う.
ただし, 全ての <var>i</var> に対して <var>3</var> 倍することはできず, 操作後の <var>a_i</var> の値は整数でなければならない.
</pre>
<p>最大で何回の操作が可能か, 求めなさい.</p>
</section>
</div>
<div class="part">
<section>
<h3>制約</h3>
<ul>
<li>
<var>N</var><var>1</var> 以上
<var>10 \ 000</var> 以下の整数
</li>
<li>
<var>a_i</var><var>1</var> 以上
<var>1 \ 000 \ 000 \ 000</var> 以下の整数
</li>
</ul>
</section>
</div>
<hr />
<div class="io-style">
<div class="part">
<section>
<h3>入力</h3>
<p>入力は以下の形式で標準入力から与えられる.</p>
<pre><var>N</var>
<var>a_1</var> <var>a_2</var> <var>a_3</var> <var>...</var> <var>a_N</var>
</pre>
</section>
</div>
<div class="part">
<section>
<h3>出力</h3>
<p>すぬけ君が行える最大の操作回数を出力しなさい.</p>
</section>
</div>
</div>
<hr />
<div class="part">
<section>
<h3>入力例 1</h3>
<pre>
3
5 2 4
</pre
>
</section>
</div>
<div class="part">
<section>
<h3>出力例 1</h3>
<pre>
3
</pre
>
<p>
最初, 数列は <var>{5, 2, 4}</var> であるが,
以下のように操作すれば
<var>3</var> 回の操作を行うことができる.
</p>
<ul>
<li>
最初に, <var>a_1</var><var>3</var> 倍し,
<var>a_2</var><var>3</var> 倍し, <var>a_3</var>
<var>2</var> で割る. すると数列は
<var>{15, 6, 2}</var> となる.
</li>
<li>
次に, <var>a_1</var><var>3</var> 倍し,
<var>a_2</var><var>2</var> で割り,
<var>a_3</var><var>3</var> 倍する. すると数列は
<var>{45, 3, 6}</var> となる.
</li>
<li>
最後に, <var>a_1</var><var>3</var> 倍し,
<var>a_2</var><var>3</var> 倍し, <var>a_3</var>
<var>2</var> で割る. すると数列は
<var>{135, 9, 3}</var> となる.
</li>
</ul>
</section>
</div>
<hr />
<div class="part">
<section>
<h3>入力例 2</h3>
<pre>
4
631 577 243 199
</pre
>
</section>
</div>
<div class="part">
<section>
<h3>出力例 2</h3>
<pre>
0
</pre
>
<p>
全ての要素が奇数なので, 操作はできない. よって答えは
<var>0</var> である.
</p>
</section>
</div>
<hr />
<div class="part">
<section>
<h3>入力例 3</h3>
<pre>
10
2184 2126 1721 1800 1024 2528 3360 1945 1280 1776
</pre
>
</section>
</div>
<div class="part">
<section>
<h3>出力例 3</h3>
<pre>
39
</pre
>
</section>
</div>
</span>
<span class="lang-en">
<p>Score: <var>300</var> points</p>
<div class="part">
<section>
<h3>Problem Statement</h3>
<p>
As AtCoder Beginner Contest 100 is taking place, the
office of AtCoder, Inc. is decorated with a sequence of
length <var>N</var>, <var>a = </var>{<var
>a_1, a_2, a_3, ..., a_N</var
>}.<br />
Snuke, an employee, would like to play with this
sequence.
</p>
<p>
Specifically, he would like to repeat the following
operation as many times as possible:
</p>
<pre>For every <var>i</var> satisfying <var>1 \leq i \leq N</var>, perform one of the following: &quot;divide <var>a_i</var> by <var>2</var>&quot; and &quot;multiply <var>a_i</var> by <var>3</var>&quot;.
Here, choosing &quot;multiply <var>a_i</var> by <var>3</var>&quot; for every <var>i</var> is not allowed, and the value of <var>a_i</var> after the operation must be an integer.
</pre>
<p>At most how many operations can be performed?</p>
</section>
</div>
<div class="part">
<section>
<h3>Constraints</h3>
<ul>
<li>
<var>N</var> is an integer between <var>1</var> and
<var>10 \ 000</var> (inclusive).
</li>
<li>
<var>a_i</var> is an integer between <var>1</var> and
<var>1 \ 000 \ 000 \ 000</var> (inclusive).
</li>
</ul>
</section>
</div>
<hr />
<div class="io-style">
<div class="part">
<section>
<h3>Input</h3>
<p>
Input is given from Standard Input in the following
format:
</p>
<pre><var>N</var>
<var>a_1</var> <var>a_2</var> <var>a_3</var> <var>...</var> <var>a_N</var>
</pre>
</section>
</div>
<div class="part">
<section>
<h3>Output</h3>
<p>
Print the maximum number of operations that Snuke can
perform.
</p>
</section>
</div>
</div>
<hr />
<div class="part">
<section>
<h3>Sample Input 1</h3>
<pre>
3
5 2 4
</pre
>
</section>
</div>
<div class="part">
<section>
<h3>Sample Output 1</h3>
<pre>
3
</pre
>
<p>
The sequence is initially <var>{5, 2, 4}</var>. Three
operations can be performed as follows:
</p>
<ul>
<li>
First, multiply <var>a_1</var> by <var>3</var>,
multiply <var>a_2</var> by <var>3</var> and divide
<var>a_3</var> by <var>2</var>. The sequence is now
<var>{15, 6, 2}</var>.
</li>
<li>
Next, multiply <var>a_1</var> by <var>3</var>, divide
<var>a_2</var> by <var>2</var> and multiply
<var>a_3</var> by <var>3</var>. The sequence is now
<var>{45, 3, 6}</var>.
</li>
<li>
Finally, multiply <var>a_1</var> by <var>3</var>,
multiply <var>a_2</var> by <var>3</var> and divide
<var>a_3</var> by <var>2</var>. The sequence is now
<var>{135, 9, 3}</var>.
</li>
</ul>
</section>
</div>
<hr />
<div class="part">
<section>
<h3>Sample Input 2</h3>
<pre>
4
631 577 243 199
</pre
>
</section>
</div>
<div class="part">
<section>
<h3>Sample Output 2</h3>
<pre>
0
</pre
>
<p>
No operation can be performed since all the elements are
odd. Thus, the answer is <var>0</var>.
</p>
</section>
</div>
<hr />
<div class="part">
<section>
<h3>Sample Input 3</h3>
<pre>
10
2184 2126 1721 1800 1024 2528 3360 1945 1280 1776
</pre
>
</section>
</div>
<div class="part">
<section>
<h3>Sample Output 3</h3>
<pre>
39
</pre
>
</section>
</div>
</span>
</span>
</div>
</div>
</div>
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