295 lines
386 KiB
HTML
295 lines
386 KiB
HTML
<!DOCTYPE html>
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<html lang="ko">
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<head>
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<meta charset="UTF-8" />
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<meta name="viewport" content="width=device-width, initial-scale=1.0" />
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<title>BOJ 20058 - Offline</title>
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<style>
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:root {
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--bg: #fafaf8;
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--paper: #ffffff;
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--ink: #1e1f24;
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--muted: #6a6d75;
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--line: #d8dce3;
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--accent: #0d6e6e;
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--code-bg: #f4f6fb;
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}
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* { box-sizing: border-box; }
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body {
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margin: 0;
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background:
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radial-gradient(circle at 15% 0%, #f0efe9 0%, transparent 42%),
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radial-gradient(circle at 85% 20%, #e7f1f2 0%, transparent 38%),
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var(--bg);
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color: var(--ink);
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font-family: "Noto Sans KR", "Pretendard", "Apple SD Gothic Neo", sans-serif;
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line-height: 1.65;
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}
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main {
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max-width: 980px;
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margin: 0 auto;
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padding: 24px 16px 56px;
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}
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.header {
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background: var(--paper);
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border: 1px solid var(--line);
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border-radius: 14px;
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padding: 18px 20px;
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margin-bottom: 18px;
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}
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.header h1 { margin: 0 0 6px; font-size: 1.5rem; }
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.header p { margin: 0; color: var(--muted); font-size: 0.95rem; }
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.header a { color: var(--accent); text-decoration: none; }
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.section {
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background: var(--paper);
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border: 1px solid var(--line);
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border-radius: 14px;
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padding: 16px 18px;
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margin-bottom: 14px;
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overflow-x: auto;
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}
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h2 {
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margin: 0 0 10px;
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font-size: 1.05rem;
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color: var(--accent);
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border-bottom: 1px solid var(--line);
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padding-bottom: 8px;
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}
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pre, code {
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font-family: "JetBrains Mono", "Fira Code", monospace;
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background: var(--code-bg);
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}
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pre {
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padding: 12px;
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border-radius: 10px;
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border: 1px solid #e7ebf2;
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overflow: auto;
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}
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blockquote {
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margin: 14px 0;
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padding: 16px 16px 14px 22px;
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border-left: 4px solid var(--accent);
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border-radius: 10px;
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background: linear-gradient(90deg, #eef8f8 0%, #f9fdfd 100%);
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color: #24313a;
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font-weight: 600;
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position: relative;
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}
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blockquote::before {
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content: "“";
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position: absolute;
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left: 8px;
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top: 2px;
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font-size: 1.35rem;
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line-height: 1;
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color: #0b5f5f;
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opacity: 0.7;
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}
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blockquote > :first-child { margin-top: 0; }
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blockquote > :last-child { margin-bottom: 0; }
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q {
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color: #114f50;
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font-weight: 700;
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background: #edf8f8;
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border-radius: 6px;
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padding: 0 4px;
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}
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.math-inline math {
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font-size: 1em;
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vertical-align: middle;
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}
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.math-block {
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margin: 10px 0;
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padding: 8px 10px;
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overflow-x: auto;
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background: #f8fbff;
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border: 1px solid #e2ecf8;
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border-radius: 8px;
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}
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.math-block math {
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font-size: 1.04em;
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display: block;
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}
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table { border-collapse: collapse; width: 100%; }
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th, td { border: 1px solid var(--line); padding: 6px 8px; }
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img { max-width: 100%; height: auto; }
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</style>
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</head>
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<body>
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<main>
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<header class="header">
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<h1>마법사 상어와 파이어스톰</h1>
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</header>
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<article class="section">
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<h2>문제</h2>
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<p>마법사 상어는 <a href="/problem/20056">파이어볼</a>과 <a href="/problem/20057">토네이도</a>를 조합해 파이어스톰을 시전할 수 있다. 오늘은 파이어스톰을 크기가 2<sup>N</sup> × 2<sup>N</sup>인 격자로 나누어진 얼음판에서 연습하려고 한다. 위치 (r, c)는 격자의 r행 c열을 의미하고, A[r][c]는 (r, c)에 있는 얼음의 양을 의미한다. A[r][c]가 0인 경우 얼음이 없는 것이다.</p>
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<p>파이어스톰을 시전하려면 시전할 때마다 단계 L을 결정해야 한다. 파이어스톰은 먼저 격자를 2<sup>L</sup> × 2<sup>L</sup> 크기의 부분 격자로 나눈다. 그 후, 모든 부분 격자를 시계 방향으로 90도 회전시킨다. 이후 얼음이 있는 칸 3개 또는 그 이상과 인접해있지 않은 칸은 얼음의 양이 1 줄어든다. (r, c)와 인접한 칸은 (r-1, c), (r+1, c), (r, c-1), (r, c+1)이다. 아래 그림의 칸에 적힌 정수는 칸을 구분하기 위해 적은 정수이다.</p>
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<table class="table table-bordered td-center td-middle" style="width:100%;">
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<tbody>
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<tr>
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style="width: 300px; height: 300px;" /></td>
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</tr>
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<tr>
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<td>마법을 시전하기 전</td>
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<td>L = 1</td>
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<td>L = 2</td>
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</tr>
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</tbody>
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</table>
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<p>마법사 상어는 파이어스톰을 총 Q번 시전하려고 한다. 모든 파이어스톰을 시전한 후, 다음 2가지를 구해보자.</p>
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<ol>
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<li>남아있는 얼음 A[r][c]의 합</li>
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<li>남아있는 얼음 중 가장 큰 덩어리가 차지하는 칸의 개수</li>
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</ol>
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<p>얼음이 있는 칸이 얼음이 있는 칸과 인접해 있으면, 두 칸을 연결되어 있다고 한다. 덩어리는 연결된 칸의 집합이다.</p>
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|
</article>
|
|
<article class="section">
|
|
<h2>입력</h2>
|
|
<p>첫째 줄에 N과 Q가 주어진다. 둘째 줄부터 2<sup>N</sup>개의 줄에는 격자의 각 칸에 있는 얼음의 양이 주어진다. r번째 줄에서 c번째 주어지는 정수는 A[r][c] 이다.</p>
|
|
|
|
<p>마지막 줄에는 마법사 상어가 시전한 단계 L<sub>1</sub>, L<sub>2</sub>, ..., L<sub>Q</sub>가 순서대로 주어진다.</p>
|
|
</article>
|
|
<article class="section">
|
|
<h2>출력</h2>
|
|
<p>첫째 줄에 남아있는 얼음 A[r][c]의 합을 출력하고, 둘째 줄에 가장 큰 덩어리가 차지하는 칸의 개수를 출력한다. 단, 덩어리가 없으면 0을 출력한다.</p>
|
|
</article>
|
|
<article class="section">
|
|
<h2>제한</h2>
|
|
<ul>
|
|
<li>2 ≤ N ≤ 6</li>
|
|
<li>1 ≤ Q ≤ 1,000</li>
|
|
<li>0 ≤ A[r][c] ≤ 100</li>
|
|
<li>0 ≤ L<sub>i</sub> ≤ N</li>
|
|
</ul>
|
|
</article>
|
|
<article class="section">
|
|
<h2>예제 입력 1 복사</h2>
|
|
<pre class="sampledata" id="sample-input-1">3 1
|
|
1 2 3 4 5 6 7 8
|
|
8 7 6 5 4 3 2 1
|
|
1 2 3 4 5 6 7 8
|
|
8 7 6 5 4 3 2 1
|
|
1 2 3 4 5 6 7 8
|
|
8 7 6 5 4 3 2 1
|
|
1 2 3 4 5 6 7 8
|
|
8 7 6 5 4 3 2 1
|
|
1
|
|
</pre>
|
|
</article>
|
|
<article class="section">
|
|
<h2>예제 입력 2 복사</h2>
|
|
<pre class="sampledata" id="sample-input-2">3 2
|
|
1 2 3 4 5 6 7 8
|
|
8 7 6 5 4 3 2 1
|
|
1 2 3 4 5 6 7 8
|
|
8 7 6 5 4 3 2 1
|
|
1 2 3 4 5 6 7 8
|
|
8 7 6 5 4 3 2 1
|
|
1 2 3 4 5 6 7 8
|
|
8 7 6 5 4 3 2 1
|
|
1 2
|
|
</pre>
|
|
</article>
|
|
<article class="section">
|
|
<h2>예제 입력 3 복사</h2>
|
|
<pre class="sampledata" id="sample-input-3">3 5
|
|
1 2 3 4 5 6 7 8
|
|
8 7 6 5 4 3 2 1
|
|
1 2 3 4 5 6 7 8
|
|
8 7 6 5 4 3 2 1
|
|
1 2 3 4 5 6 7 8
|
|
8 7 6 5 4 3 2 1
|
|
1 2 3 4 5 6 7 8
|
|
8 7 6 5 4 3 2 1
|
|
1 2 0 3 2
|
|
</pre>
|
|
</article>
|
|
<article class="section">
|
|
<h2>예제 입력 4 복사</h2>
|
|
<pre class="sampledata" id="sample-input-4">3 10
|
|
1 2 3 4 5 6 7 8
|
|
8 7 6 5 4 3 2 1
|
|
1 2 3 4 5 6 7 8
|
|
8 7 6 5 4 3 2 1
|
|
1 2 3 4 5 6 7 8
|
|
8 7 6 5 4 3 2 1
|
|
1 2 3 4 5 6 7 8
|
|
8 7 6 5 4 3 2 1
|
|
1 2 0 3 2 1 2 3 2 3
|
|
</pre>
|
|
</article>
|
|
<article class="section">
|
|
<h2>예제 입력 5 복사</h2>
|
|
<pre class="sampledata" id="sample-input-5">3 10
|
|
1 2 3 4 5 6 7 8
|
|
8 7 6 5 4 3 2 1
|
|
1 2 3 4 5 6 7 8
|
|
8 7 6 5 4 3 2 1
|
|
1 2 3 4 5 6 7 8
|
|
8 7 6 5 4 3 2 1
|
|
1 2 3 4 5 6 7 8
|
|
8 7 6 5 4 3 2 1
|
|
1 2 3 1 2 3 1 2 3 1
|
|
</pre>
|
|
</article>
|
|
<article class="section">
|
|
<h2>예제 입력 6 복사</h2>
|
|
<pre class="sampledata" id="sample-input-6">3 10
|
|
1 0 3 4 5 6 7 0
|
|
8 0 6 5 4 3 2 1
|
|
1 2 0 4 5 6 7 0
|
|
8 7 6 5 4 3 2 1
|
|
1 2 3 4 0 6 7 0
|
|
8 7 0 5 4 3 2 1
|
|
1 2 3 4 5 6 7 0
|
|
0 7 0 5 4 3 2 1
|
|
1 2 3 1 2 3 1 2 3 1
|
|
</pre>
|
|
</article>
|
|
<article class="section">
|
|
<h2>예제 출력 1 복사</h2>
|
|
<pre class="sampledata" id="sample-output-1">284
|
|
64
|
|
</pre>
|
|
</article>
|
|
<article class="section">
|
|
<h2>예제 출력 2 복사</h2>
|
|
<pre class="sampledata" id="sample-output-2">280
|
|
64
|
|
</pre>
|
|
</article>
|
|
<article class="section">
|
|
<h2>예제 출력 3 복사</h2>
|
|
<pre class="sampledata" id="sample-output-3">268
|
|
64
|
|
</pre>
|
|
</article>
|
|
<article class="section">
|
|
<h2>예제 출력 4 복사</h2>
|
|
<pre class="sampledata" id="sample-output-4">248
|
|
62
|
|
</pre>
|
|
</article>
|
|
<article class="section">
|
|
<h2>예제 출력 5 복사</h2>
|
|
<pre class="sampledata" id="sample-output-5">246
|
|
60
|
|
</pre>
|
|
</article>
|
|
<article class="section">
|
|
<h2>예제 출력 6 복사</h2>
|
|
<pre class="sampledata" id="sample-output-6">37
|
|
9
|
|
</pre>
|
|
</article>
|
|
</main>
|
|
</body>
|
|
</html>
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