192 lines
32 KiB
HTML
192 lines
32 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 1918 - 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>후위 표기식</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>수식은 일반적으로 3가지 표기법으로 표현할 수 있다. 연산자가 피연산자 가운데 위치하는 중위 표기법(일반적으로 우리가 쓰는 방법이다), 연산자가 피연산자 앞에 위치하는 전위 표기법(prefix notation), 연산자가 피연산자 뒤에 위치하는 후위 표기법(postfix notation)이 그것이다. 예를 들어 중위 표기법으로 표현된 <code>a+b</code>는 전위 표기법으로는 <code>+ab</code>이고, 후위 표기법으로는 <code>ab+</code>가 된다.</p>
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<p>이 문제에서 우리가 다룰 표기법은 후위 표기법이다. 후위 표기법은 위에서 말한 법과 같이 연산자가 피연산자 뒤에 위치하는 방법이다. 이 방법의 장점은 다음과 같다. 우리가 흔히 쓰는 중위 표기식 같은 경우에는 덧셈과 곱셈의 우선순위에 차이가 있어 왼쪽부터 차례로 계산할 수 없지만 후위 표기식을 사용하면 순서를 적절히 조절하여 순서를 정해줄 수 있다. 또한 같은 방법으로 괄호 등도 필요 없게 된다. 예를 들어 <code>a+b*c</code>를 후위 표기식으로 바꾸면 <code>abc*+</code>가 된다.</p>
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<p>중위 표기식을 후위 표기식으로 바꾸는 방법을 간단히 설명하면 이렇다. 우선 주어진 중위 표기식을 연산자의 우선순위에 따라 괄호로 묶어준다. 그런 다음에 괄호 안의 연산자를 괄호의 오른쪽으로 옮겨주면 된다.</p>
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<p>예를 들어 <code>a+b*c</code>는 <code>(a+(b*c))</code>의 식과 같게 된다. 그 다음에 안에 있는 괄호의 연산자 <code>*</code>를 괄호 밖으로 꺼내게 되면 <code>(a+bc*)</code>가 된다. 마지막으로 또 <code>+</code>를 괄호의 오른쪽으로 고치면 <code>abc*+</code>가 되게 된다.</p>
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<p>다른 예를 들어 그림으로 표현하면 <code>A+B*C-D/E</code>를 완전하게 괄호로 묶고 연산자를 이동시킬 장소를 표시하면 다음과 같이 된다.</p>
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style="width: 166px; height: 50px;" /></p>
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<p style="text-align: center;">결과: <code>ABC*+DE/-</code></p>
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<p>이러한 사실을 알고 중위 표기식이 주어졌을 때 후위 표기식으로 고치는 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>첫째 줄에 중위 표기식이 주어진다. 단 이 수식의 피연산자는 알파벳 대문자로 이루어지며 수식에서 한 번씩만 등장한다. 그리고 <code>-A+B</code>와 같이 <code>-</code>가 가장 앞에 오거나 <code>AB</code>와 같이 <code>*</code>가 생략되는 등의 수식은 주어지지 않는다. 표기식은 알파벳 대문자와 <code>+</code>, <code>-</code>, <code>*</code>, <code>/</code>, <code>(</code>, <code>)</code>로만 이루어져 있으며, 길이는 100을 넘지 않는다. </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>첫째 줄에 후위 표기식으로 바뀐 식을 출력하시오</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">A*(B+C)
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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">A+B
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</pre>
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</article>
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<article class="section">
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<h2>예제 입력 3 복사</h2>
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<pre class="sampledata" id="sample-input-3">A+B*C
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</pre>
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</article>
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<article class="section">
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<h2>예제 입력 4 복사</h2>
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<pre class="sampledata" id="sample-input-4">A+B*C-D/E
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</pre>
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</article>
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<article class="section">
|
|
<h2>예제 출력 1 복사</h2>
|
|
<pre class="sampledata" id="sample-output-1">ABC+*
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</pre>
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</article>
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|
<article class="section">
|
|
<h2>예제 출력 2 복사</h2>
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|
<pre class="sampledata" id="sample-output-2">AB+
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</pre>
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</article>
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<article class="section">
|
|
<h2>예제 출력 3 복사</h2>
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|
<pre class="sampledata" id="sample-output-3">ABC*+
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</pre>
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|
</article>
|
|
<article class="section">
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|
<h2>예제 출력 4 복사</h2>
|
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<pre class="sampledata" id="sample-output-4">ABC*+DE/-
|
|
</pre>
|
|
</article>
|
|
</main>
|
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</body>
|
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</html>
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