618 lines
19 KiB
HTML
618 lines
19 KiB
HTML
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style="padding-top:50px;">
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<div>
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<small class="contest-duration">
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Contest Duration:
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<a href='http://www.timeanddate.com/worldclock/fixedtime.html?iso=20180616T2100&p1=248' target='blank'><time class='fixtime fixtime-full'>2018-06-16 21:00:00+0900</time></a> - <a href='http://www.timeanddate.com/worldclock/fixedtime.html?iso=20180616T2240&p1=248' target='blank'><time class='fixtime fixtime-full'>2018-06-16 22:40:00+0900</time></a> (local time)
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(100 minutes)
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</small>
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</div>
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<ul class="nav nav-tabs">
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<li><a href="/contests/abc100"><span class="glyphicon glyphicon-home" aria-hidden="true"></span> Top</a></li>
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<li><a href="/contests/abc100/clarifications"><span class="glyphicon glyphicon-question-sign" aria-hidden="true"></span> Clarifications <span id="clar-badge" class="badge" ></span></a></li>
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<li>
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<a class="dropdown-toggle" data-toggle="dropdown" href="#" role="button" aria-haspopup="true" aria-expanded="false"><span class="glyphicon glyphicon-list" aria-hidden="true"></span> Results<span class="caret"></span></a>
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<li><a href="/contests/abc100/submissions"><span class="glyphicon glyphicon-globe" aria-hidden="true"></span> All Submissions</a></li>
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</ul>
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</li>
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<li><a href="/contests/abc100/standings"><span class="glyphicon glyphicon-sort-by-attributes-alt" aria-hidden="true"></span> Standings</a></li>
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<li><a href="/contests/abc100/standings/virtual"><span class="glyphicon glyphicon-sort-by-attributes-alt" aria-hidden="true"></span> Virtual Standings</a></li>
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<li><a href="/contests/abc100/editorial"><span class="glyphicon glyphicon-book" aria-hidden="true"></span> Editorial</a></li>
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<li class="pull-right"><a id="fix-cnvtb" href="javascript:void(0)"><span class="glyphicon glyphicon-pushpin" aria-hidden="true"></span></a></li>
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</ul>
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<div class="col-sm-12">
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<span class="h2">
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C - *3 or /2
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<a class="btn btn-default btn-sm" href="/contests/abc100/tasks/abc100_c/editorial">Editorial</a>
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</span>
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<span id="task-lang-btn" class="pull-right"><span data-lang="ja"><img src='//img.atcoder.jp/assets/top/img/flag-lang/ja.png'></span> / <span data-lang="en"><img src='//img.atcoder.jp/assets/top/img/flag-lang/en.png'></span></span>
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<script>
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$(function() {
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var ts = $('#task-statement span.lang');
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if (ts.children('span').size() <= 1) {
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$('#task-lang-btn').hide();
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ts.children('span').show();
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return;
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}
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var REMEMBER_LB = 5;
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var LS_KEY = 'task_lang';
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var taskLang = getLS(LS_KEY) || '';
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function isTaskLangSet(taskLang) { return taskLang === 'ja' || taskLang === 'en';}
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if (isTaskLangSet(taskLang)) {
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const params = new URLSearchParams(window.location.search);
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if (params.get('lang')) {
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setLS(LS_KEY, REMEMBER_LB);
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taskLang = LANG;
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}
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} else {
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taskLang = LANG;
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}
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ts.children('span.lang-' + taskLang).show();
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$('#task-lang-btn span').click(function() {
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var l = $(this).data('lang');
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ts.children('span').hide();
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ts.children('span.lang-' + l).show();
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taskLang = getLS(LS_KEY) || '';
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let changeTimes = 0;
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if (isTaskLangSet(taskLang)) {
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changeTimes = REMEMBER_LB;
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} else {
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changeTimes = parseInt(taskLang, 10);
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if (isNaN(changeTimes)) changeTimes = 0;
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changeTimes++;
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}
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if (changeTimes < REMEMBER_LB) setLS(LS_KEY, changeTimes);
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else setLS(LS_KEY, l);
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});
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});
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</script>
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<hr/>
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<p>
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Time Limit: 2 sec / Memory Limit: 976 MiB
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</p>
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<div id="task-statement">
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<span class="lang">
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<span class="lang-ja">
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<p>配点: <var>300</var> 点</p>
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<div class="part">
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<section>
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<h3>問題文</h3>
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<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 />
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社員のすぬけ君は, この数列で遊んでみようと思った. </p>
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<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>
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<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.
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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.
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</pre>
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<p>最大で何回の操作が可能か, 求めなさい. </p>
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</section>
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</div>
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<div class="part">
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<section>
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<h3>制約</h3>
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<ul>
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<li><var>N</var> は <var>1</var> 以上 <var>10 \ 000</var> 以下の整数</li>
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<li><var>a_i</var> は <var>1</var> 以上 <var>1 \ 000 \ 000 \ 000</var> 以下の整数</li>
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</ul>
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</section>
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</div>
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<hr />
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<div class="io-style">
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<div class="part">
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<section>
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<h3>入力</h3>
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<p>入力は以下の形式で標準入力から与えられる. </p>
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<pre><var>N</var>
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<var>a_1</var> <var>a_2</var> <var>a_3</var> <var>...</var> <var>a_N</var>
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</pre>
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</section>
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</div>
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<div class="part">
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<section>
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<h3>出力</h3>
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<p>すぬけ君が行える最大の操作回数を出力しなさい. </p>
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</section>
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</div>
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</div>
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<hr />
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<div class="part">
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<section>
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<h3>入力例 1</h3><pre>3
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5 2 4
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</pre>
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</section>
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</div>
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<div class="part">
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<section>
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<h3>出力例 1</h3><pre>3
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</pre>
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<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>
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<ul>
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<li>最初に, <var>a_1</var> を <var>3</var> 倍し, <var>a_2</var> を <var>3</var> 倍し, <var>a_3</var> を <var>2</var> で割る. すると数列は <var>{15, 6, 2}</var> となる.</li>
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<li>次に, <var>a_1</var> を <var>3</var> 倍し, <var>a_2</var> を <var>2</var> で割り, <var>a_3</var> を <var>3</var> 倍する. すると数列は <var>{45, 3, 6}</var> となる.</li>
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<li>最後に, <var>a_1</var> を <var>3</var> 倍し, <var>a_2</var> を <var>3</var> 倍し, <var>a_3</var> を <var>2</var> で割る. すると数列は <var>{135, 9, 3}</var> となる.</li>
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</ul>
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</section>
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</div>
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<hr />
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<div class="part">
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<section>
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<h3>入力例 2</h3><pre>4
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631 577 243 199
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</pre>
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</section>
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</div>
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|
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<div class="part">
|
|
<section>
|
|
<h3>出力例 2</h3><pre>0
|
|
</pre>
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|
|
|
<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>
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</section>
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|
</div>
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|
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|
<hr />
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>入力例 3</h3><pre>10
|
|
2184 2126 1721 1800 1024 2528 3360 1945 1280 1776
|
|
</pre>
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|
|
|
</section>
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</div>
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|
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<div class="part">
|
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<section>
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<h3>出力例 3</h3><pre>39
|
|
</pre></section>
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</div>
|
|
</span>
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|
<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 />
|
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Snuke, an employee, would like to play with this sequence.</p>
|
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<p>Specifically, he would like to repeat the following operation as many times as possible:</p>
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|
<pre>For every <var>i</var> satisfying <var>1 \leq i \leq N</var>, perform one of the following: "divide <var>a_i</var> by <var>2</var>" and "multiply <var>a_i</var> by <var>3</var>".
|
|
Here, choosing "multiply <var>a_i</var> by <var>3</var>" 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>
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</ul>
|
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</section>
|
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</div>
|
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|
|
<hr />
|
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|
|
<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>
|
|
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</div>
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