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CodeObject/storage/zeta/_static/7695.html
2026-04-27 09:44:16 +09:00

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<title>BOJ 7695 - Offline</title>
<style>
:root {
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img { max-width: 100%; height: auto; }
</style>
</head>
<body>
<main>
<header class="header">
<h1>Brackets</h1>
</header>
<article class="section">
<h2>문제</h2>
<p>We give the following inductive definition of a &ldquo;regular brackets&rdquo; sequence:</p>
<ul>
<li>the empty sequence is a regular brackets sequence,</li>
<li>if s is a regular brackets sequence, then (s) and [s] are regular brackets sequences, and</li>
<li>if a and b are regular brackets sequences, then ab is a regular brackets sequence.</li>
<li>no other sequence is a regular brackets sequence</li>
</ul>
<p>For instance, all of the following character sequences are regular brackets sequences:</p>
<pre>
(), [], (()), ()[], ()[()]</pre>
<p>while the following character sequences are not:</p>
<pre>
(, ], )(, ([)], ([(]</pre>
<p>Given a brackets sequence of characters a<sub>1</sub>a<sub>2</sub>...a<sub>n</sub>, your goal is to find the length of the longest regular brackets sequence that is a subsequence of s. That is, you wish to find the largest m such that for indices i<sub>1</sub>, i<sub>2</sub>, . . . , i<sub>m</sub> where 1 &le; i<sub>1</sub> &lt; i<sub>2</sub> &lt; . . . &lt; i<sub>m</sub> &le; n, a<sub>i<sub>1</sub></sub> a<sub>i<sub>2</sub></sub> . . . a<sub>i<sub>m</sub></sub> is a regular brackets sequence.</p>
</article>
<article class="section">
<h2>입력</h2>
<p>The input test file will contain multiple test cases. Each input test case consists of a single line containing only the characters (, ), [, and ]; each input test will have length between 1 and 100, inclusive. The end-of-file is marked by a line containing the word &ldquo;end&rdquo; and should not be processed.</p>
</article>
<article class="section">
<h2>출력</h2>
<p>For each input case, the program should print the length of the longest possible regular brackets subsequence on a single line.</p>
</article>
<article class="section">
<h2>힌트</h2>
<p>Given the initial sequence ([([]])], the longest regular brackets subsequence is [([])].</p>
</article>
<article class="section">
<h2>예제 입력 1 복사</h2>
<pre class="sampledata" id="sample-input-1">((()))
()()()
([]])
)[)(
([][][)
end
</pre>
</article>
<article class="section">
<h2>예제 출력 1 복사</h2>
<pre class="sampledata" id="sample-output-1">6
6
4
0
6
</pre>
</article>
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</html>