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CodeObject/storage/zeta/_static/2903.html
yenru0 fe8128ab65 add _static
2026-04-27 09:44:16 +09:00

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<!DOCTYPE html>
<html lang="ko">
<head>
<meta charset="UTF-8" />
<meta name="viewport" content="width=device-width, initial-scale=1.0" />
<title>BOJ 2903 - Offline</title>
<style>
:root {
--bg: #fafaf8;
--paper: #ffffff;
--ink: #1e1f24;
--muted: #6a6d75;
--line: #d8dce3;
--accent: #0d6e6e;
--code-bg: #f4f6fb;
}
* { box-sizing: border-box; }
body {
margin: 0;
background:
radial-gradient(circle at 15% 0%, #f0efe9 0%, transparent 42%),
radial-gradient(circle at 85% 20%, #e7f1f2 0%, transparent 38%),
var(--bg);
color: var(--ink);
font-family: "Noto Sans KR", "Pretendard", "Apple SD Gothic Neo", sans-serif;
line-height: 1.65;
}
main {
max-width: 980px;
margin: 0 auto;
padding: 24px 16px 56px;
}
.header {
background: var(--paper);
border: 1px solid var(--line);
border-radius: 14px;
padding: 18px 20px;
margin-bottom: 18px;
}
.header h1 { margin: 0 0 6px; font-size: 1.5rem; }
.header p { margin: 0; color: var(--muted); font-size: 0.95rem; }
.header a { color: var(--accent); text-decoration: none; }
.section {
background: var(--paper);
border: 1px solid var(--line);
border-radius: 14px;
padding: 16px 18px;
margin-bottom: 14px;
overflow-x: auto;
}
h2 {
margin: 0 0 10px;
font-size: 1.05rem;
color: var(--accent);
border-bottom: 1px solid var(--line);
padding-bottom: 8px;
}
pre, code {
font-family: "JetBrains Mono", "Fira Code", monospace;
background: var(--code-bg);
}
pre {
padding: 12px;
border-radius: 10px;
border: 1px solid #e7ebf2;
overflow: auto;
}
blockquote {
margin: 14px 0;
padding: 16px 16px 14px 22px;
border-left: 4px solid var(--accent);
border-radius: 10px;
background: linear-gradient(90deg, #eef8f8 0%, #f9fdfd 100%);
color: #24313a;
font-weight: 600;
position: relative;
}
blockquote::before {
content: "“";
position: absolute;
left: 8px;
top: 2px;
font-size: 1.35rem;
line-height: 1;
color: #0b5f5f;
opacity: 0.7;
}
blockquote > :first-child { margin-top: 0; }
blockquote > :last-child { margin-bottom: 0; }
q {
color: #114f50;
font-weight: 700;
background: #edf8f8;
border-radius: 6px;
padding: 0 4px;
}
.math-inline math {
font-size: 1em;
vertical-align: middle;
}
.math-block {
margin: 10px 0;
padding: 8px 10px;
overflow-x: auto;
background: #f8fbff;
border: 1px solid #e2ecf8;
border-radius: 8px;
}
.math-block math {
font-size: 1.04em;
display: block;
}
table { border-collapse: collapse; width: 100%; }
th, td { border: 1px solid var(--line); padding: 6px 8px; }
img { max-width: 100%; height: auto; }
</style>
</head>
<body>
<main>
<header class="header">
<h1>중앙 이동 알고리즘</h1>
</header>
<article class="section">
<h2>문제</h2>
<p>상근이는 친구들과 함께 SF영화를 찍으려고 한다. 이 영화는 외계 지형이 필요하다. 실제로 우주선을 타고 외계 행성에 가서 촬영을 할 수 없기 때문에, 컴퓨터 그래픽으로 CG처리를 하려고 한다.</p>
<p>외계 지형은 중앙 이동 알고리즘을 이용해서 만들려고 한다.</p>
<p>알고리즘을 시작하면서 상근이는 정사각형을 이루는 점 4개를 고른다. 그 후에는 다음과 같은 과정을 거쳐서 지형을 만든다.</p>
<ol>
<li>정사각형의 각 변의 중앙에 점을 하나 추가한다.</li>
<li>정사각형의 중심에 점을 하나 추가한다.</li>
</ol>
<p>초기 상태에서 위와 같은 과정을 한 번 거치면 총 4개의 정사각형이 새로 생긴다. 이와 같은 과정을 상근이가 만족할 때 까지 계속한다.</p>
<p>아래 그림은 과정을 총 2번 거쳤을 때까지의 모습이다.</p>
<table class="table table-bordered td-center">
<tbody>
<tr>
<td><img alt="" 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" 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" 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</tr>
<tr>
<td>초기 상태 - 점 4개</td>
<td>1번 - 점 9개</td>
<td>2번 - 25개</td>
</tr>
</tbody>
</table>
<p>상근이는 어떤 점은 한 개 보다 많은 정사각형에 포함될 수 있다는 사실을 알았다. 메모리 소모량을 줄이기 위해서 중복하는 점을 한 번만 저장하려고 한다. 과정을 N번 거친 후 점 몇 개를 저장해야 하는지 구하는 프로그램을 작성하시오.</p>
</article>
<article class="section">
<h2>입력</h2>
<p>첫째 줄에 N이 주어진다. (1 &le; N &le; 15)</p>
</article>
<article class="section">
<h2>출력</h2>
<p>첫째 줄에 과정을 N번 거친 후&nbsp;점의 수를 출력한다.</p>
</article>
<article class="section">
<h2>예제 입력 1 복사</h2>
<pre class="sampledata" id="sample-input-1">1
</pre>
</article>
<article class="section">
<h2>예제 입력 2 복사</h2>
<pre class="sampledata" id="sample-input-2">2
</pre>
</article>
<article class="section">
<h2>예제 입력 3 복사</h2>
<pre class="sampledata" id="sample-input-3">5
</pre>
</article>
<article class="section">
<h2>예제 출력 1 복사</h2>
<pre class="sampledata" id="sample-output-1">9
</pre>
</article>
<article class="section">
<h2>예제 출력 2 복사</h2>
<pre class="sampledata" id="sample-output-2">25
</pre>
</article>
<article class="section">
<h2>예제 출력 3 복사</h2>
<pre class="sampledata" id="sample-output-3">1089
</pre>
</article>
</main>
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