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<!DOCTYPE html>
<html lang="ko">
<head>
<meta charset="UTF-8" />
<meta name="viewport" content="width=device-width, initial-scale=1.0" />
<title>BOJ 27634 - 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>Tennis Game</h1>
</header>
<article class="section">
<h2>문제</h2>
<p>Tennis is a racket sport that is played by two opposing players on S sets. Each set consists of at least K games. A set is won by a player if that player wins at least K games and at least 2 games more than the opponent. Once a set is won, the set is ended and the match continues to a new set (if any) where both players start from 0 game won for that new set.</p>
<p>For example, let K = 6, then a set can be ended with any of the following.</p>
<ul>
<li>P1 (Player 1) wins 6 games while P2 (Player 2) wins 3 games &rarr; P1 wins the set.</li>
<li>P1 wins 7 games while P2 wins 9 games &rarr; P2 wins the set.</li>
</ul>
<p>On the other hand, a set cannot be ended with any of the following.</p>
<ul>
<li>P1 wins 6 games while P2 wins 5 games &rarr; no player wins at least 2 games more than the opponent.</li>
<li>P1 wins 0 game while P2 wins 5 games &rarr; no player wins K = 6 games.</li>
<li>P1 wins 7 games while P2 wins 0 games &rarr; the set is already ended when P1 won the first 6 games.</li>
<li>P1 wins 8 games while P2 wins 5 games &rarr; the set must already be ended before it reaches this state, e.g., the set can be ended at 7 &minus; 5, 6 &minus; 4, 6 &minus; 3, etc.</li>
</ul>
<p>You are given K, S and N, determine whether there could be such a tennis match with S sets to ends exactly with N games. If there is such a tennis match, then output &ldquo;YES&rdquo; (without quotes) in a single line, otherwise, output &ldquo;NO&rdquo; (without quotes) in a single line.</p>
<p>For example, let K = 4, S = 2, and N = 14. It is possible to have such a tennis match. One the possibilities is as follows.</p>
<ul>
<li>Set 1: P1 wins 6 games while P2 wins 4 games.</li>
<li>Set 2: P1 wins 4 games while P2 wins 0 games.</li>
</ul>
<p>There are a total of N = 6 + 4 + 4 + 0 = 14 games on S = 2 sets where each set is won if a player won at least K = 4 games and at least 2 games more than the opponent.</p>
</article>
<article class="section">
<h2>입력</h2>
<p>Input contains three integers K S N (2 &le; K &le; 10<sup>9</sup>; 1 &le; S, N &le; 10<sup>9</sup>) in a line representing the minimum number of games to win a set, the total number of sets, and the total number of games, respectively.</p>
</article>
<article class="section">
<h2>출력</h2>
<p>Output in a line a string &ldquo;YES&rdquo; or &ldquo;NO&rdquo; (without quotes) whether it is possible to have such a tennis match.</p>
</article>
<article class="section">
<h2>예제 입력 1 복사</h2>
<pre class="sampledata" id="sample-input-1">4 2 14
</pre>
</article>
<article class="section">
<h2>예제 입력 2 복사</h2>
<pre class="sampledata" id="sample-input-2">3 1 2
</pre>
</article>
<article class="section">
<h2>예제 입력 3 복사</h2>
<pre class="sampledata" id="sample-input-3">6 5 181
</pre>
</article>
<article class="section">
<h2>예제 출력 1 복사</h2>
<pre class="sampledata" id="sample-output-1">YES
</pre>
</article>
<article class="section">
<h2>예제 출력 2 복사</h2>
<pre class="sampledata" id="sample-output-2">NO
</pre>
</article>
<article class="section">
<h2>예제 출력 3 복사</h2>
<pre class="sampledata" id="sample-output-3">YES
</pre>
</article>
</main>
</body>
</html>