189 lines
65 KiB
HTML
189 lines
65 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 2533 - 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>사회망 서비스(SNS)</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>페이스북, 트위터, 카카오톡과 같은 사회망 서비스(SNS)가 널리 사용됨에 따라, 사회망을 통하여 사람들이 어떻게 새로운 아이디어를 받아들이게 되는가를 이해하는 문제가 중요해졌다. 사회망에서 사람들의 친구 관계는 그래프로 표현할 수 있는데, 이 그래프에서 사람은 정점으로 표현되고, 두 정점을 잇는 에지는 두 정점으로 표현되는 두 사람이 서로 친구 관계임을 표현한다. </p>
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<p>예를 들어, 철수와 영희, 철수와 만수, 영희와 순희가 서로 친구 관계라면 이를 표현하는 친구 관계 그래프는 다음과 같다. </p>
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<p style="text-align: center;"><img alt="" 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" style="width: 203px; height: 81px;" /></p>
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<p>친구 관계 그래프를 이용하면 사회망 서비스에서 어떤 새로운 아이디어가 전파되는 과정을 이해하는데 도움을 줄 수 있다. 어떤 새로운 아이디어를 먼저 받아들인 사람을 얼리 아답터(early adaptor)라고 하는데, 사회망 서비스에 속한 사람들은 얼리 아답터이거나 얼리 아답터가 아니다. 얼리 아답터가 아닌 사람들은 자신의 모든 친구들이 얼리 아답터일 때만 이 아이디어를 받아들인다. </p>
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<p>어떤 아이디어를 사회망 서비스에서 퍼뜨리고자 할 때, 가능한 한 최소의 수의 얼리 아답터를 확보하여 모든 사람이 이 아이디어를 받아들이게 하는 문제는 매우 중요하다. </p>
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<p>일반적인 그래프에서 이 문제를 푸는 것이 매우 어렵다는 것이 알려져 있기 때문에, 친구 관계 그래프가 트리인 경우, 즉 모든 두 정점 사이에 이들을 잇는 경로가 존재하면서 사이클이 존재하지 않는 경우만 고려한다. </p>
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<p>예를 들어, 8명의 사람으로 이루어진 다음 친구 관계 트리를 생각해보자. 2, 3, 4번 노드가 표현하는 사람들이 얼리 아답터라면, 얼리 아답터가 아닌 사람들은 자신의 모든 친구가 얼리 아답터이기 때문에 새로운 아이디어를 받아들인다.</p>
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<p style="text-align: center;"><img alt="" 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" style="width: 191px; height: 127px;" /></p>
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<p>친구 관계 트리가 주어졌을 때, 모든 개인이 새로운 아이디어를 수용하기 위하여 필요한 최소 얼리 어답터의 수를 구하는 프로그램을 작성하시오.</p>
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</article>
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<article class="section">
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<h2>입력</h2>
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<p>첫 번째 줄에는 친구 관계 트리의 정점 개수 N이 주어진다. 단, 2 ≤ N ≤ 1,000,000이며, 각 정점은 1부터 N까지 일련번호로 표현된다. 두 번째 줄부터 N-1개의 줄에는 각 줄마다 친구 관계 트리의 에지 (u, v)를 나타내는 두 정수 u와 v가 하나의 빈칸을 사이에 두고 주어진다. </p>
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</article>
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<article class="section">
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<h2>출력</h2>
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<p>주어진 친구 관계 그래프에서 아이디어를 전파하는데 필요한 얼리 아답터의 최소 수를 하나의 정수로 출력한다.</p>
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</article>
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<article class="section">
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<h2>예제 입력 1 복사</h2>
|
|
<pre class="sampledata" id="sample-input-1">8
|
|
1 2
|
|
1 3
|
|
1 4
|
|
2 5
|
|
2 6
|
|
4 7
|
|
4 8
|
|
</pre>
|
|
</article>
|
|
<article class="section">
|
|
<h2>예제 입력 2 복사</h2>
|
|
<pre class="sampledata" id="sample-input-2">9
|
|
1 2
|
|
1 3
|
|
2 4
|
|
3 5
|
|
3 6
|
|
4 7
|
|
4 8
|
|
4 9
|
|
</pre>
|
|
</article>
|
|
<article class="section">
|
|
<h2>예제 출력 1 복사</h2>
|
|
<pre class="sampledata" id="sample-output-1">3
|
|
</pre>
|
|
</article>
|
|
<article class="section">
|
|
<h2>예제 출력 2 복사</h2>
|
|
<pre class="sampledata" id="sample-output-2">3
|
|
</pre>
|
|
</article>
|
|
</main>
|
|
</body>
|
|
</html>
|