178 lines
60 KiB
HTML
178 lines
60 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 28242 - 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>수학 선생님의 고민(Hard)</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><strong>이 문제는 수학 선생님의 고민(Easy)의 상위 문제이고, 수학 선생님의 고민(Easy)에 이 문제의 정답 코드를 제출하여 맞힐 수 있다.</strong></p>
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<p>차형준 선생님은 여느 때와 같이 재밌는 문제를 고민하다가 다음과 같이 양의 정수 <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>n</mi></mrow></math></span>에 대한 이차식 <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>n</mi><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mo stretchy="false">(</mo><mi>n</mi><mo>+</mo><mn>1</mn><mo stretchy="false">)</mo><mi>x</mi><mo>−</mo><mo stretchy="false">(</mo><mi>n</mi><mo>+</mo><mn>2</mn><mo stretchy="false">)</mo></mrow></math></span>을 정수 범위에서 인수분해 하는 문제를 고안하게 되었다.</p>
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<p><span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>n</mi></mrow></math></span>이 작을 때에는 쉽게 손으로 계산할 수 있었지만, <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>n</mi></mrow></math></span>이 커짐에 따라 문제는 버거워졌다.</p>
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<p>따라서 선생님은 수학은 잘 못해도 시키는 대로 코딩은 하는 도훈이에게 문제를 맡겼다. 하지만 도훈이는 사실 ChatGPT가 알려준 코드를 복사-붙여넣기 해왔을 뿐이라 실상은 "Hello World!" 정도나 출력할 줄 안다. 그래서 도훈이는 늘 하던 대로 ChatGPT에게 코딩을 부탁했다.</p>
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<p>하지만 답변 받는 도중 인터넷이 끊겨버렸다..!</p>
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<p style="text-align: center;"><img alt="" height="193" 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" width="516" /></p>
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<p style="text-align: center;">ChatGPT에게 프로그램을 만들어달라고 하다가 인터넷이 끊긴 모습이다.</p>
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<p>도훈이를 도와 <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>n</mi><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mo stretchy="false">(</mo><mi>n</mi><mo>+</mo><mn>1</mn><mo stretchy="false">)</mo><mi>x</mi><mo>−</mo><mo stretchy="false">(</mo><mi>n</mi><mo>+</mo><mn>2</mn><mo stretchy="false">)</mo></mrow></math></span>를 정수 범위에서 인수분해 하는 프로그램을 작성하여라.</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 줄에 양의 정수 <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>n</mi></mrow></math></span>이 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>첫 번째 줄에 주어진 <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>n</mi></mrow></math></span>에 대해 이차식 <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>n</mi><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mo stretchy="false">(</mo><mi>n</mi><mo>+</mo><mn>1</mn><mo stretchy="false">)</mo><mi>x</mi><mo>−</mo><mo stretchy="false">(</mo><mi>n</mi><mo>+</mo><mn>2</mn><mo stretchy="false">)</mo></mrow></math></span>가 정수 범위에서 인수분해가 불가능하다면 <code><span style="color:#e74c3c;">-1</span></code>을 출력하고, 가능하다면 인수분해 한 결과를 나타내는 네 정수 <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>a</mi></mrow></math></span>, <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>b</mi></mrow></math></span>, <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>c</mi></mrow></math></span>, <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>d</mi></mrow></math></span>를 공백으로 구분하여 출력한다. 이 네 정수는 <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mo stretchy="false">(</mo><mi>a</mi><mi>x</mi><mo>+</mo><mi>b</mi><mo stretchy="false">)</mo><mo stretchy="false">(</mo><mi>c</mi><mi>x</mi><mo>+</mo><mi>d</mi><mo stretchy="false">)</mo><mo>=</mo><mi>n</mi><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mo stretchy="false">(</mo><mi>n</mi><mo>+</mo><mn>1</mn><mo stretchy="false">)</mo><mi>x</mi><mo>−</mo><mo stretchy="false">(</mo><mi>n</mi><mo>+</mo><mn>2</mn><mo stretchy="false">)</mo></mrow></math></span>임을 의미한다. 가능한 <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mo stretchy="false">(</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo>,</mo><mi>d</mi><mo stretchy="false">)</mo></mrow></math></span> 쌍이 여러 가지라면 그중 아무것이나 출력한다.</p>
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</article>
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<article class="section">
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<h2>제한</h2>
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<ul>
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<li><span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mn>1</mn><mo>≤</mo><mi>n</mi><mo>≤</mo><mn>2</mn><mo>×</mo><msup><mn>10</mn><mn>6</mn></msup></mrow></math></span>.</li>
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</ul>
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</article>
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<article class="section">
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<h2>예제 입력 1 복사</h2>
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<pre class="sampledata" id="sample-input-1">1
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</pre>
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</article>
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<article class="section">
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<h2>예제 입력 2 복사</h2>
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<pre class="sampledata" id="sample-input-2">2
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</pre>
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</article>
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<article class="section">
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<h2>예제 출력 1 복사</h2>
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<pre class="sampledata" id="sample-output-1">1 -1 1 3
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</pre>
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</article>
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<article class="section">
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<h2>예제 출력 2 복사</h2>
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<pre class="sampledata" id="sample-output-2">-1
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</pre>
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</article>
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</main>
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</body>
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</html>
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