171 lines
9.4 KiB
HTML
171 lines
9.4 KiB
HTML
<!DOCTYPE html>
|
|
<html lang="ko">
|
|
<head>
|
|
<meta charset="UTF-8" />
|
|
<meta name="viewport" content="width=device-width, initial-scale=1.0" />
|
|
<title>BOJ 19303 - 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>Aftermath</h1>
|
|
</header>
|
|
<article class="section">
|
|
<h2>문제</h2>
|
|
<p>Once upon a time, you had a nice positive integer <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>n</mi></mrow></math></span>.</p>
|
|
|
|
<p>Since you like division, you quickly found all its positive integer divisors.</p>
|
|
|
|
<p>Not being a mean guy, you calculated <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>a</mi></mrow></math></span> --- the arithmetic mean of divisors of <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>n</mi></mrow></math></span>. Surprisingly, this number turned out to be an integer.</p>
|
|
|
|
<p>Some time passed, and you calculated <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>h</mi></mrow></math></span> --- the harmonic mean of divisors of <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>n</mi></mrow></math></span>. Even more surprisingly, this number turned out to be an integer, too!</p>
|
|
|
|
<p>Unfortunately, your memory let you down, and now you remember <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>a</mi></mrow></math></span> and <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>h</mi></mrow></math></span> but don't remember <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>n</mi></mrow></math></span>. However, you remember that <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>n</mi></mrow></math></span> didn't exceed <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mn>10</mn><mrow><mn>15</mn></mrow></msup></mrow></math></span>.</p>
|
|
|
|
<p>Your muse suggested to bring good old times back and restore any value of <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>n</mi></mrow></math></span> matching your records.</p>
|
|
</article>
|
|
<article class="section">
|
|
<h2>입력</h2>
|
|
<p>The first line of the input contains a single positive integer <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>a</mi></mrow></math></span>.</p>
|
|
|
|
<p>The second line of the input contains a single positive integer <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>h</mi></mrow></math></span>.</p>
|
|
|
|
<p>It's guaranteed that there exists a positive integer <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>n</mi><mo>≤</mo><msup><mn>10</mn><mrow><mn>15</mn></mrow></msup></mrow></math></span> such that the arithmetic mean of divisors of <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>n</mi></mrow></math></span> is equal to <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>a</mi></mrow></math></span>, which the harmonic mean of divisors of <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>n</mi></mrow></math></span> is equal to <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>h</mi></mrow></math></span>.</p>
|
|
</article>
|
|
<article class="section">
|
|
<h2>출력</h2>
|
|
<p>Output any positive integer <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>n</mi></mrow></math></span> not exceeding <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mn>10</mn><mrow><mn>15</mn></mrow></msup></mrow></math></span> which doesn't contradict the given information.</p>
|
|
</article>
|
|
<article class="section">
|
|
<h2>힌트</h2>
|
|
<p>The <em>arithmetic mean</em> is the sum of a collection of numbers divided by the number of numbers in the collection. For example, the arithmetic mean of 1, 2, 3 and 6 is equal to <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mfrac><mrow><mn>1</mn><mo>+</mo><mn>2</mn><mo>+</mo><mn>3</mn><mo>+</mo><mn>6</mn></mrow><mrow><mn>4</mn></mrow></mfrac><mo>=</mo><mn>3</mn></mrow></math></span>.</p>
|
|
|
|
<p>The <em>harmonic mean</em> is the reciprocal of the arithmetic mean of the reciprocals of numbers in the collection. For example, the harmonic mean of 1, 2, 3 and 6 is equal to <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mo minsize="1.2em" maxsize="1.2em">(</mo><mfrac><mrow><msup><mn>1</mn><mrow><mo>−</mo><mn>1</mn></mrow></msup><mo>+</mo><msup><mn>2</mn><mrow><mo>−</mo><mn>1</mn></mrow></msup><mo>+</mo><msup><mn>3</mn><mrow><mo>−</mo><mn>1</mn></mrow></msup><mo>+</mo><msup><mn>6</mn><mrow><mo>−</mo><mn>1</mn></mrow></msup></mrow><mrow><mn>4</mn></mrow></mfrac><msup><mo minsize="1.2em" maxsize="1.2em">)</mo><mrow><mo>−</mo><mn>1</mn></mrow></msup><mo>=</mo><mn>2</mn></mrow></math></span>.</p>
|
|
|
|
<p>Thus, in the first example test case, <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>n</mi><mo>=</mo><mn>6</mn></mrow></math></span> satisfies the requirements since its divisors are 1, 2, 3 and 6.</p>
|
|
</article>
|
|
<article class="section">
|
|
<h2>예제 입력 1 복사</h2>
|
|
<pre class="sampledata" id="sample-input-1">3
|
|
2
|
|
</pre>
|
|
</article>
|
|
<article class="section">
|
|
<h2>예제 출력 1 복사</h2>
|
|
<pre class="sampledata" id="sample-output-1">6
|
|
</pre>
|
|
</article>
|
|
</main>
|
|
</body>
|
|
</html>
|