add _static
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storage/zeta/_static/17021.html
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167
storage/zeta/_static/17021.html
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<!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 17021 - 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>Cow Poetry</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>Unbeknownst to Farmer John, Bessie is quite the patron of the arts! Most recently, she has begun studying many of the great poets, and now, she wants to try writing some poetry of her own.</p>
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<p>Bessie knows <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>N</mi></mrow></math></span> (<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>5000</mn></mrow></math></span>) words, and she wants to arrange them into poems. Bessie has determined the length, in syllables, of each of her words, and she has also assigned them into "rhyme classes". Every word rhymes only with other words in the same rhyme class.</p>
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<p>Bessie's poems each include <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>M</mi></mrow></math></span> lines (<span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mn>1</mn><mo>≤</mo><mi>M</mi><mo>≤</mo><msup><mn>10</mn><mn>5</mn></msup></mrow></math></span>), and each line must consist of <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>K</mi></mrow></math></span> (<span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mn>1</mn><mo>≤</mo><mi>K</mi><mo>≤</mo><mn>5000</mn></mrow></math></span>) syllables. Moreover, Bessie's poetry must adhere to a specific rhyme scheme.</p>
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<p>Bessie would like to know how many different poems she can write that satisfy the given constraints.</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>The first line of input contains <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>N</mi></mrow></math></span>, <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>M</mi></mrow></math></span>, and <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>K</mi></mrow></math></span>.</p>
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<p>The next <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>N</mi></mrow></math></span> lines of input each contain two numbers <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mi>s</mi><mi>i</mi></msub></mrow></math></span> (<span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mn>1</mn><mo>≤</mo><msub><mi>s</mi><mi>i</mi></msub><mo>≤</mo><mi>K</mi></mrow></math></span>) and <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mi>c</mi><mi>i</mi></msub></mrow></math></span> (<span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mn>1</mn><mo>≤</mo><msub><mi>c</mi><mi>i</mi></msub><mo>≤</mo><mi>N</mi></mrow></math></span>). This indicates that Bessie knows a word with length (in syllables) <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mi>s</mi><mi>i</mi></msub></mrow></math></span> in rhyme class <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mi>c</mi><mi>i</mi></msub></mrow></math></span>.</p>
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<p>The final <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>M</mi></mrow></math></span> lines of input describe Bessie's desired rhyme scheme and each contain one uppercase letter <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mi>e</mi><mi>i</mi></msub></mrow></math></span>. All lines corresponding to equal values of <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mi>e</mi><mi>i</mi></msub></mrow></math></span> must end with words in the same rhyme class. Lines with different values of <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mi>e</mi><mi>i</mi></msub></mrow></math></span> don't necessarily end with words in different rhyme classes.</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>Output the number of poems Bessie can write that satisfy these constraints. Because this number may be very large, please compute it modulo 1,000,000,007.</p>
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</article>
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<article class="section">
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<h2>힌트</h2>
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<p>In this example, Bessie knows three words. The first two words rhyme, and have lengths of three syllables and four syllables, and the last word is three syllables long and doesn't rhyme with the others. She wants to write a three-line poem such that each line contains ten syllables and the first and last lines rhyme. There are 960 such poems. One example of a valid poem is the following (where 1, 2, and 3 represent the first, second, and third words): 121 123 321</p>
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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">3 3 10
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3 1
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4 1
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3 2
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A
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B
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A
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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">960
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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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