{"componentChunkName":"component---src-templates-blog-post-js","path":"/algorithm/binary-search/","result":{"data":{"site":{"siteMetadata":{"title":"Tory","author":"[Tory]","siteUrl":"https://gatsby-starter-bee.netlify.com","comment":{"disqusShortName":"","utterances":"JaeYeopHan/gatsby-starter-bee"},"sponsor":{"buyMeACoffeeId":"jbee"}}},"markdownRemark":{"id":"21b2b1da-a5b5-5003-b7c2-8acda96b08ee","excerpt":"Jump into Binary Search 정렬된 자료에서 탐색하는 알고리즘입니다.\n나열된 자료들 중에서 중앙에 있는 값을 기준으로 찾고자 하는 값이 큰 경우 혹은 작은 경우에 따라 찾아야 하는 자료의 범위가 반씩 줄어들기 때문에 시간 복잡도는 O(logN)이 됩니다. 1. 구현 recursion iteration","html":"<h1 id=\"jump-into-binary-search\" style=\"position:relative;\"><a href=\"#jump-into-binary-search\" aria-label=\"jump into binary search 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>Jump into Binary Search</h1>\n<p>정렬된 자료에서 탐색하는 알고리즘입니다.\n나열된 자료들 중에서 중앙에 있는 값을 기준으로 찾고자 하는 값이 큰 경우 혹은 작은 경우에 따라 찾아야 하는 자료의 범위가 반씩 줄어들기 때문에 시간 복잡도는 O(logN)이 됩니다.</p>\n<h2 id=\"1-구현\" style=\"position:relative;\"><a href=\"#1-%EA%B5%AC%ED%98%84\" aria-label=\"1 구현 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>1. 구현</h2>\n<h3 id=\"recursion\" style=\"position:relative;\"><a href=\"#recursion\" aria-label=\"recursion 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>recursion</h3>\n<div class=\"gatsby-highlight\" data-language=\"python\"><pre class=\"language-python\"><code class=\"language-python\"><span class=\"token keyword\">def</span> <span class=\"token function\">binary_search</span><span class=\"token punctuation\">(</span>arr<span class=\"token punctuation\">,</span> v<span class=\"token punctuation\">)</span><span class=\"token punctuation\">:</span>\n    <span class=\"token keyword\">def</span> <span class=\"token function\">partition</span><span class=\"token punctuation\">(</span>left<span class=\"token punctuation\">,</span> right<span class=\"token punctuation\">)</span><span class=\"token punctuation\">:</span>\n        <span class=\"token keyword\">if</span> right <span class=\"token operator\">&lt;</span> left<span class=\"token punctuation\">:</span>\n            <span class=\"token keyword\">return</span>\n        <span class=\"token keyword\">nonlocal</span> is_searched\n        mid <span class=\"token operator\">=</span> <span class=\"token punctuation\">(</span>left <span class=\"token operator\">+</span> right<span class=\"token punctuation\">)</span> <span class=\"token operator\">//</span> <span class=\"token number\">2</span>\n        <span class=\"token keyword\">if</span> arr<span class=\"token punctuation\">[</span>mid<span class=\"token punctuation\">]</span> <span class=\"token operator\">==</span> v<span class=\"token punctuation\">:</span>\n            is_searched <span class=\"token operator\">=</span> <span class=\"token boolean\">True</span>\n            <span class=\"token keyword\">return</span>\n        <span class=\"token keyword\">elif</span> arr<span class=\"token punctuation\">[</span>mid<span class=\"token punctuation\">]</span> <span class=\"token operator\">></span> v<span class=\"token punctuation\">:</span>\n            partition<span class=\"token punctuation\">(</span>left<span class=\"token punctuation\">,</span> mid <span class=\"token operator\">-</span> <span class=\"token number\">1</span><span class=\"token punctuation\">)</span>\n        <span class=\"token keyword\">else</span><span class=\"token punctuation\">:</span>\n            partition<span class=\"token punctuation\">(</span>mid <span class=\"token operator\">+</span> <span class=\"token number\">1</span><span class=\"token punctuation\">,</span> right<span class=\"token punctuation\">)</span>\n\n    is_searched <span class=\"token operator\">=</span> <span class=\"token boolean\">False</span>\n    partition<span class=\"token punctuation\">(</span><span class=\"token number\">0</span><span class=\"token punctuation\">,</span> <span class=\"token builtin\">len</span><span class=\"token punctuation\">(</span>arr<span class=\"token punctuation\">)</span> <span class=\"token operator\">-</span> <span class=\"token number\">1</span><span class=\"token punctuation\">)</span>\n\n    <span class=\"token keyword\">return</span> is_searched</code></pre></div>\n<h3 id=\"iteration\" style=\"position:relative;\"><a href=\"#iteration\" aria-label=\"iteration 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>iteration</h3>\n<div class=\"gatsby-highlight\" data-language=\"python\"><pre class=\"language-python\"><code class=\"language-python\"><span class=\"token keyword\">import</span> time\n<span class=\"token keyword\">def</span> <span class=\"token function\">binary_search</span><span class=\"token punctuation\">(</span>arr<span class=\"token punctuation\">,</span> v<span class=\"token punctuation\">)</span><span class=\"token punctuation\">:</span>\n    left <span class=\"token operator\">=</span> <span class=\"token number\">0</span>\n    right <span class=\"token operator\">=</span> <span class=\"token builtin\">len</span><span class=\"token punctuation\">(</span>arr<span class=\"token punctuation\">)</span> <span class=\"token operator\">-</span> <span class=\"token number\">1</span>\n    <span class=\"token keyword\">while</span> left <span class=\"token operator\">&lt;=</span> right<span class=\"token punctuation\">:</span>\n        mid <span class=\"token operator\">=</span> <span class=\"token punctuation\">(</span>left <span class=\"token operator\">+</span> right<span class=\"token punctuation\">)</span> <span class=\"token operator\">//</span> <span class=\"token number\">2</span>\n        <span class=\"token comment\"># 인덱스를 더해 반으로 나누면 홀수는 중앙, 짝수는 중앙의 왼쪽</span>\n        <span class=\"token keyword\">if</span> arr<span class=\"token punctuation\">[</span>mid<span class=\"token punctuation\">]</span> <span class=\"token operator\">==</span> v<span class=\"token punctuation\">:</span>\n            <span class=\"token keyword\">return</span> <span class=\"token boolean\">True</span>\n        <span class=\"token keyword\">elif</span> arr<span class=\"token punctuation\">[</span>mid<span class=\"token punctuation\">]</span> <span class=\"token operator\">&lt;</span> v<span class=\"token punctuation\">:</span>\n            left <span class=\"token operator\">=</span> mid <span class=\"token operator\">+</span> <span class=\"token number\">1</span>\n        <span class=\"token keyword\">else</span><span class=\"token punctuation\">:</span>\n            right <span class=\"token operator\">=</span> mid <span class=\"token operator\">-</span> <span class=\"token number\">1</span>\n    <span class=\"token keyword\">return</span> <span class=\"token boolean\">False</span></code></pre></div>","frontmatter":{"title":"Binary Search","date":"April 04, 2021"}}},"pageContext":{"slug":"/algorithm/binary-search/","previous":{"fields":{"slug":"/algorithm/time-complexity/"},"frontmatter":{"title":"Time Complexity","category":"algorithm","draft":false}},"next":{"fields":{"slug":"/algorithm/merge-sort/"},"frontmatter":{"title":"Merge Sort","category":"algorithm","draft":false}}}},"staticQueryHashes":["3128451518","521680639"]}