{"componentChunkName":"component---src-templates-blog-post-js","path":"/Problem-Solving/2020-03-29-백준-LCS/","result":{"data":{"site":{"siteMetadata":{"title":"Hun's Footsteps 🥷","author":"전여훈","siteUrl":"https://jeonyeohun.netlify.app","comment":{"disqusShortName":"","utterances":"jeonyeohun/jeonyeohun.github.io"},"sponsor":{"buyMeACoffeeId":"jeonyeohun"}}},"markdownRemark":{"id":"babc252b-f993-5014-8720-56f831b9b638","excerpt":"백준 알고리즘 9251번: LCS (C++) https://www.acmicpc.net/problem/9251 문제 문제\nLCS(Longest Common Subsequence, 최장 공통 부분 수열)문제는 두 수열이 주어졌을 때, 모두의 부분 수열이 되는 수열 중 가장 긴 것을 찾는 문제이다. 예를 들어, ACAYKP와 CAPCAK의 LCS는 ACAK가 된다. 입력\n첫째 줄과 둘째 줄에 두 문자열이 주어진다. 문자열은 알파벳 대문자로만 이루어져 있으며, 최대 100…","html":"<h1 id=\"백준-알고리즘-9251번-lcs-c\" style=\"position:relative;\"><a href=\"#%EB%B0%B1%EC%A4%80-%EC%95%8C%EA%B3%A0%EB%A6%AC%EC%A6%98-9251%EB%B2%88-lcs-c\" aria-label=\"백준 알고리즘 9251번 lcs c permalink\" class=\"anchor before\"><svg aria-hidden=\"true\" focusable=\"false\" height=\"16\" version=\"1.1\" viewBox=\"0 0 16 16\" width=\"16\"><path fill-rule=\"evenodd\" d=\"M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z\"></path></svg></a>[백준 알고리즘] 9251번: LCS (C++)</h1>\n<p><a href=\"https://www.acmicpc.net/problem/9251\">https://www.acmicpc.net/problem/9251</a></p>\n<h2 id=\"문제\" style=\"position:relative;\"><a href=\"#%EB%AC%B8%EC%A0%9C\" aria-label=\"문제 permalink\" class=\"anchor before\"><svg aria-hidden=\"true\" focusable=\"false\" height=\"16\" version=\"1.1\" viewBox=\"0 0 16 16\" width=\"16\"><path fill-rule=\"evenodd\" d=\"M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z\"></path></svg></a>문제</h2>\n<p><strong>문제</strong>\nLCS(Longest Common Subsequence, 최장 공통 부분 수열)문제는 두 수열이 주어졌을 때, 모두의 부분 수열이 되는 수열 중 가장 긴 것을 찾는 문제이다.</p>\n<p>예를 들어, ACAYKP와 CAPCAK의 LCS는 ACAK가 된다.</p>\n<p><strong>입력</strong>\n첫째 줄과 둘째 줄에 두 문자열이 주어진다. 문자열은 알파벳 대문자로만 이루어져 있으며, 최대 1000글자로 이루어져 있다.</p>\n<p><strong>출력</strong>\n첫째 줄에 입력으로 주어진 두 문자열의 LCS의 길이를 출력한다.</p>\n<h2 id=\"풀이\" style=\"position:relative;\"><a href=\"#%ED%92%80%EC%9D%B4\" aria-label=\"풀이 permalink\" class=\"anchor before\"><svg aria-hidden=\"true\" focusable=\"false\" height=\"16\" version=\"1.1\" viewBox=\"0 0 16 16\" width=\"16\"><path fill-rule=\"evenodd\" d=\"M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z\"></path></svg></a>풀이</h2>\n<p>LCS 는 다른 블로그 포스팅으로 따로 정리했다.</p>\n<p><a href=\"https://jeonyeohun.github.io/2020/04/1/LCS.html\">LCS 정리</a></p>\n<h2 id=\"코드\" style=\"position:relative;\"><a href=\"#%EC%BD%94%EB%93%9C\" aria-label=\"코드 permalink\" class=\"anchor before\"><svg aria-hidden=\"true\" focusable=\"false\" height=\"16\" version=\"1.1\" viewBox=\"0 0 16 16\" width=\"16\"><path fill-rule=\"evenodd\" d=\"M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z\"></path></svg></a>코드</h2>\n<div class=\"gatsby-highlight\" data-language=\"cpp\"><pre class=\"language-cpp\"><code class=\"language-cpp\"><span class=\"token macro property\"><span class=\"token directive-hash\">#</span><span class=\"token directive keyword\">include</span> <span class=\"token string\">&lt;cstdio></span></span>\n\n<span class=\"token keyword\">using</span> <span class=\"token keyword\">namespace</span> std<span class=\"token punctuation\">;</span>\n\n<span class=\"token keyword\">int</span> heap_size<span class=\"token operator\">=</span><span class=\"token number\">0</span><span class=\"token punctuation\">;</span>\n\n<span class=\"token keyword\">void</span> <span class=\"token function\">exchange</span> <span class=\"token punctuation\">(</span><span class=\"token keyword\">int</span> heap <span class=\"token punctuation\">[</span><span class=\"token punctuation\">]</span><span class=\"token punctuation\">,</span> <span class=\"token keyword\">int</span> a<span class=\"token punctuation\">,</span> <span class=\"token keyword\">int</span> b<span class=\"token punctuation\">)</span><span class=\"token punctuation\">{</span>\n    <span class=\"token keyword\">int</span> temp <span class=\"token operator\">=</span> heap<span class=\"token punctuation\">[</span>a<span class=\"token punctuation\">]</span><span class=\"token punctuation\">;</span>\n    heap<span class=\"token punctuation\">[</span>a<span class=\"token punctuation\">]</span> <span class=\"token operator\">=</span> heap<span class=\"token punctuation\">[</span>b<span class=\"token punctuation\">]</span><span class=\"token punctuation\">;</span>\n    heap<span class=\"token punctuation\">[</span>b<span class=\"token punctuation\">]</span> <span class=\"token operator\">=</span> temp<span class=\"token punctuation\">;</span>\n<span class=\"token punctuation\">}</span>\n\n<span class=\"token keyword\">void</span> <span class=\"token function\">min_heapify</span> <span class=\"token punctuation\">(</span><span class=\"token keyword\">int</span> heap <span class=\"token punctuation\">[</span><span class=\"token punctuation\">]</span><span class=\"token punctuation\">,</span> <span class=\"token keyword\">int</span> n<span class=\"token punctuation\">)</span><span class=\"token punctuation\">{</span>\n    <span class=\"token keyword\">int</span> l <span class=\"token operator\">=</span> n<span class=\"token operator\">*</span><span class=\"token number\">2</span><span class=\"token punctuation\">;</span>\n    <span class=\"token keyword\">int</span> r <span class=\"token operator\">=</span> n<span class=\"token operator\">*</span><span class=\"token number\">2</span><span class=\"token operator\">+</span><span class=\"token number\">1</span><span class=\"token punctuation\">;</span>\n    <span class=\"token keyword\">int</span> smallest<span class=\"token punctuation\">;</span>\n\n    <span class=\"token keyword\">if</span> <span class=\"token punctuation\">(</span>l <span class=\"token operator\">&lt;=</span> heap_size <span class=\"token operator\">&amp;&amp;</span> heap<span class=\"token punctuation\">[</span>l<span class=\"token punctuation\">]</span> <span class=\"token operator\">&lt;</span> heap<span class=\"token punctuation\">[</span>n<span class=\"token punctuation\">]</span><span class=\"token punctuation\">)</span> smallest <span class=\"token operator\">=</span> l<span class=\"token punctuation\">;</span>\n    <span class=\"token keyword\">else</span> smallest <span class=\"token operator\">=</span> n<span class=\"token punctuation\">;</span>\n\n    <span class=\"token keyword\">if</span> <span class=\"token punctuation\">(</span>r <span class=\"token operator\">&lt;=</span> heap_size <span class=\"token operator\">&amp;&amp;</span> heap<span class=\"token punctuation\">[</span>r<span class=\"token punctuation\">]</span> <span class=\"token operator\">&lt;</span> heap<span class=\"token punctuation\">[</span>smallest<span class=\"token punctuation\">]</span><span class=\"token punctuation\">)</span> smallest <span class=\"token operator\">=</span> r<span class=\"token punctuation\">;</span>\n\n    <span class=\"token keyword\">if</span> <span class=\"token punctuation\">(</span>smallest <span class=\"token operator\">!=</span> n<span class=\"token punctuation\">)</span> <span class=\"token punctuation\">{</span>\n        <span class=\"token function\">exchange</span><span class=\"token punctuation\">(</span>heap<span class=\"token punctuation\">,</span> smallest<span class=\"token punctuation\">,</span> n<span class=\"token punctuation\">)</span><span class=\"token punctuation\">;</span>\n        <span class=\"token function\">min_heapify</span><span class=\"token punctuation\">(</span>heap<span class=\"token punctuation\">,</span> smallest<span class=\"token punctuation\">)</span><span class=\"token punctuation\">;</span>\n    <span class=\"token punctuation\">}</span>\n<span class=\"token punctuation\">}</span>\n\n\n<span class=\"token keyword\">void</span> <span class=\"token function\">push</span><span class=\"token punctuation\">(</span><span class=\"token keyword\">int</span> heap<span class=\"token punctuation\">[</span><span class=\"token punctuation\">]</span><span class=\"token punctuation\">,</span> <span class=\"token keyword\">int</span> num<span class=\"token punctuation\">)</span><span class=\"token punctuation\">{</span>\n    heap_size<span class=\"token operator\">++</span><span class=\"token punctuation\">;</span>\n    <span class=\"token keyword\">int</span> i <span class=\"token operator\">=</span> heap_size<span class=\"token punctuation\">;</span>\n\n    heap<span class=\"token punctuation\">[</span>i<span class=\"token punctuation\">]</span> <span class=\"token operator\">=</span> num<span class=\"token punctuation\">;</span>\n    <span class=\"token keyword\">while</span><span class=\"token punctuation\">(</span>i <span class=\"token operator\">></span> <span class=\"token number\">1</span> <span class=\"token operator\">&amp;&amp;</span> heap<span class=\"token punctuation\">[</span>i<span class=\"token operator\">/</span><span class=\"token number\">2</span><span class=\"token punctuation\">]</span> <span class=\"token operator\">></span> heap<span class=\"token punctuation\">[</span>i<span class=\"token punctuation\">]</span><span class=\"token punctuation\">)</span><span class=\"token punctuation\">{</span>\n        <span class=\"token function\">exchange</span><span class=\"token punctuation\">(</span>heap<span class=\"token punctuation\">,</span> i<span class=\"token punctuation\">,</span> i<span class=\"token operator\">/</span><span class=\"token number\">2</span><span class=\"token punctuation\">)</span><span class=\"token punctuation\">;</span>\n        i <span class=\"token operator\">=</span> i<span class=\"token operator\">/</span><span class=\"token number\">2</span><span class=\"token punctuation\">;</span>\n    <span class=\"token punctuation\">}</span>\n<span class=\"token punctuation\">}</span>\n\n<span class=\"token keyword\">int</span> <span class=\"token function\">pop</span><span class=\"token punctuation\">(</span><span class=\"token keyword\">int</span> heap<span class=\"token punctuation\">[</span><span class=\"token punctuation\">]</span><span class=\"token punctuation\">)</span><span class=\"token punctuation\">{</span>\n    <span class=\"token keyword\">if</span> <span class=\"token punctuation\">(</span>heap_size <span class=\"token operator\">&lt;</span> <span class=\"token number\">1</span><span class=\"token punctuation\">)</span> <span class=\"token keyword\">return</span> <span class=\"token number\">0</span><span class=\"token punctuation\">;</span>\n    <span class=\"token keyword\">int</span> r <span class=\"token operator\">=</span> heap<span class=\"token punctuation\">[</span><span class=\"token number\">1</span><span class=\"token punctuation\">]</span><span class=\"token punctuation\">;</span>\n\n    <span class=\"token function\">exchange</span><span class=\"token punctuation\">(</span>heap<span class=\"token punctuation\">,</span> <span class=\"token number\">1</span><span class=\"token punctuation\">,</span> heap_size<span class=\"token punctuation\">)</span><span class=\"token punctuation\">;</span>\n\n    heap_size<span class=\"token operator\">--</span><span class=\"token punctuation\">;</span>\n    <span class=\"token function\">min_heapify</span><span class=\"token punctuation\">(</span>heap<span class=\"token punctuation\">,</span> <span class=\"token number\">1</span><span class=\"token punctuation\">)</span><span class=\"token punctuation\">;</span>\n    <span class=\"token keyword\">return</span> r<span class=\"token punctuation\">;</span>\n<span class=\"token punctuation\">}</span>\n\n<span class=\"token keyword\">int</span> <span class=\"token function\">main</span><span class=\"token punctuation\">(</span><span class=\"token punctuation\">)</span><span class=\"token punctuation\">{</span>\n\n    <span class=\"token keyword\">int</span> heap <span class=\"token punctuation\">[</span><span class=\"token number\">100002</span><span class=\"token punctuation\">]</span><span class=\"token punctuation\">;</span>\n\n    <span class=\"token keyword\">int</span> T<span class=\"token punctuation\">;</span>\n    <span class=\"token function\">scanf</span><span class=\"token punctuation\">(</span><span class=\"token string\">\"%d\"</span><span class=\"token punctuation\">,</span> <span class=\"token operator\">&amp;</span>T<span class=\"token punctuation\">)</span><span class=\"token punctuation\">;</span>\n\n    <span class=\"token keyword\">while</span><span class=\"token punctuation\">(</span>T<span class=\"token operator\">--</span><span class=\"token punctuation\">)</span><span class=\"token punctuation\">{</span>\n        <span class=\"token keyword\">int</span> op<span class=\"token punctuation\">;</span>\n        <span class=\"token function\">scanf</span><span class=\"token punctuation\">(</span><span class=\"token string\">\"%d\"</span><span class=\"token punctuation\">,</span> <span class=\"token operator\">&amp;</span>op<span class=\"token punctuation\">)</span><span class=\"token punctuation\">;</span>\n        <span class=\"token keyword\">if</span> <span class=\"token punctuation\">(</span>op <span class=\"token operator\">==</span> <span class=\"token number\">0</span><span class=\"token punctuation\">)</span> <span class=\"token function\">printf</span><span class=\"token punctuation\">(</span><span class=\"token string\">\"%d\\n\"</span><span class=\"token punctuation\">,</span> <span class=\"token function\">pop</span><span class=\"token punctuation\">(</span>heap<span class=\"token punctuation\">)</span><span class=\"token punctuation\">)</span><span class=\"token punctuation\">;</span>\n        <span class=\"token keyword\">else</span> <span class=\"token function\">push</span><span class=\"token punctuation\">(</span>heap<span class=\"token punctuation\">,</span> op<span class=\"token punctuation\">)</span><span class=\"token punctuation\">;</span>\n    <span class=\"token punctuation\">}</span>\n\n<span class=\"token punctuation\">}</span></code></pre></div>","frontmatter":{"title":"[백준 알고리즘] 9251번: LCS","date":"May 05, 2020"}}},"pageContext":{"slug":"/Problem-Solving/2020-03-29-백준-LCS/","previous":{"fields":{"slug":"/Problem-Solving/2020-03-30-백준-최대힙/"},"frontmatter":{"title":"[백준 알고리즘] 11279번: 최대 힙","category":"Problem-Solving","draft":false}},"next":{"fields":{"slug":"/Problem-Solving/2020-03-27-2193번-이친수/"},"frontmatter":{"title":"[백준 알고리즘] 2193번: 이친수","category":"Problem-Solving","draft":false}}}},"staticQueryHashes":["2486386679","3128451518"]}