{"componentChunkName":"component---src-templates-blog-post-js","path":"/Algorithm/BOJ-1275-Python/","result":{"data":{"site":{"siteMetadata":{"title":"hyesungoh","author":"hyesungoh","siteUrl":"https://www.hyesungoh.xyz","comment":{"disqusShortName":"","utterances":"hyesungoh/blog"},"sponsor":{"buyMeACoffeeId":""}}},"markdownRemark":{"id":"4c62ab1d-5da5-5851-aabc-32fccbcc7ec9","excerpt":"n개의 정수로 이루어진 수열을 입력받은 후, 구간합을 출력한 후, 인덱스 값을 바꾸는 연산을 수행해야하는 문제. 세그먼트 트리를 이용하여 풀었다. 아직은 이해도가 부족하다 생각된다.","html":"<p>n개의 정수로 이루어진 수열을 입력받은 후, 구간합을 출력한 후, 인덱스 값을 바꾸는 연산을 수행해야하는 문제. 세그먼트 트리를 이용하여 풀었다. 아직은 이해도가 부족하다 생각된다.</p>\n<div class=\"gatsby-highlight\" data-language=\"python\"><pre class=\"language-python\"><code class=\"language-python\"><span class=\"token keyword\">import</span> sys\n<span class=\"token keyword\">import</span> math\n<span class=\"token builtin\">input</span> <span class=\"token operator\">=</span> sys<span class=\"token punctuation\">.</span>stdin<span class=\"token punctuation\">.</span>readline\n\n<span class=\"token keyword\">def</span> <span class=\"token function\">init</span><span class=\"token punctuation\">(</span>node<span class=\"token punctuation\">,</span> start<span class=\"token punctuation\">,</span> end<span class=\"token punctuation\">)</span><span class=\"token punctuation\">:</span>\n    <span class=\"token keyword\">if</span> start <span class=\"token operator\">==</span> end<span class=\"token punctuation\">:</span>\n        tree<span class=\"token punctuation\">[</span>node<span class=\"token punctuation\">]</span> <span class=\"token operator\">=</span> l<span class=\"token punctuation\">[</span>start<span class=\"token punctuation\">]</span>\n        <span class=\"token keyword\">return</span> tree<span class=\"token punctuation\">[</span>node<span class=\"token punctuation\">]</span>\n\n    mid <span class=\"token operator\">=</span> <span class=\"token punctuation\">(</span>start <span class=\"token operator\">+</span> end<span class=\"token punctuation\">)</span> <span class=\"token operator\">//</span> <span class=\"token number\">2</span>\n    temp <span class=\"token operator\">=</span> init<span class=\"token punctuation\">(</span>node<span class=\"token operator\">*</span><span class=\"token number\">2</span><span class=\"token punctuation\">,</span> start<span class=\"token punctuation\">,</span> mid<span class=\"token punctuation\">)</span> <span class=\"token operator\">+</span> init<span class=\"token punctuation\">(</span>node<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> mid<span class=\"token operator\">+</span><span class=\"token number\">1</span><span class=\"token punctuation\">,</span> end<span class=\"token punctuation\">)</span>\n    tree<span class=\"token punctuation\">[</span>node<span class=\"token punctuation\">]</span> <span class=\"token operator\">=</span> temp\n    <span class=\"token keyword\">return</span> tree<span class=\"token punctuation\">[</span>node<span class=\"token punctuation\">]</span>\n\n<span class=\"token keyword\">def</span> <span class=\"token function\">query</span><span class=\"token punctuation\">(</span>node<span class=\"token punctuation\">,</span> start<span class=\"token punctuation\">,</span> end<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> start <span class=\"token operator\">></span> right <span class=\"token keyword\">or</span> end <span class=\"token operator\">&lt;</span> left<span class=\"token punctuation\">:</span>\n        <span class=\"token keyword\">return</span> <span class=\"token number\">0</span>\n    <span class=\"token keyword\">if</span> start <span class=\"token operator\">>=</span> left <span class=\"token keyword\">and</span> end <span class=\"token operator\">&lt;=</span> right<span class=\"token punctuation\">:</span>\n        <span class=\"token keyword\">return</span> tree<span class=\"token punctuation\">[</span>node<span class=\"token punctuation\">]</span>\n\n    mid <span class=\"token operator\">=</span> <span class=\"token punctuation\">(</span>start <span class=\"token operator\">+</span> end<span class=\"token punctuation\">)</span> <span class=\"token operator\">//</span> <span class=\"token number\">2</span>\n    temp <span class=\"token operator\">=</span> query<span class=\"token punctuation\">(</span>node<span class=\"token operator\">*</span><span class=\"token number\">2</span><span class=\"token punctuation\">,</span> start<span class=\"token punctuation\">,</span> mid<span class=\"token punctuation\">,</span> left<span class=\"token punctuation\">,</span> right<span class=\"token punctuation\">)</span> <span class=\"token operator\">+</span> query<span class=\"token punctuation\">(</span>node<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> mid<span class=\"token operator\">+</span><span class=\"token number\">1</span><span class=\"token punctuation\">,</span> end<span class=\"token punctuation\">,</span> left<span class=\"token punctuation\">,</span> right<span class=\"token punctuation\">)</span>\n    <span class=\"token keyword\">return</span> temp\n\n<span class=\"token keyword\">def</span> <span class=\"token function\">update</span><span class=\"token punctuation\">(</span>node<span class=\"token punctuation\">,</span> start<span class=\"token punctuation\">,</span> end<span class=\"token punctuation\">,</span> index<span class=\"token punctuation\">,</span> diff<span class=\"token punctuation\">)</span><span class=\"token punctuation\">:</span>\n    <span class=\"token keyword\">if</span> index <span class=\"token operator\">&lt;</span> start <span class=\"token keyword\">or</span> index <span class=\"token operator\">></span> end<span class=\"token punctuation\">:</span>\n        <span class=\"token keyword\">return</span> <span class=\"token number\">0</span>\n\n    tree<span class=\"token punctuation\">[</span>node<span class=\"token punctuation\">]</span> <span class=\"token operator\">+=</span> diff\n    <span class=\"token keyword\">if</span> start <span class=\"token operator\">!=</span> end<span class=\"token punctuation\">:</span>\n        mid <span class=\"token operator\">=</span> <span class=\"token punctuation\">(</span>start <span class=\"token operator\">+</span> end<span class=\"token punctuation\">)</span> <span class=\"token operator\">//</span> <span class=\"token number\">2</span>\n        update<span class=\"token punctuation\">(</span>node<span class=\"token operator\">*</span><span class=\"token number\">2</span><span class=\"token punctuation\">,</span> start<span class=\"token punctuation\">,</span> mid<span class=\"token punctuation\">,</span> index<span class=\"token punctuation\">,</span> diff<span class=\"token punctuation\">)</span>\n        update<span class=\"token punctuation\">(</span>node<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> mid<span class=\"token operator\">+</span><span class=\"token number\">1</span><span class=\"token punctuation\">,</span> end<span class=\"token punctuation\">,</span> index<span class=\"token punctuation\">,</span> diff<span class=\"token punctuation\">)</span>\n\n\nn<span class=\"token punctuation\">,</span> q <span class=\"token operator\">=</span> <span class=\"token builtin\">map</span><span class=\"token punctuation\">(</span><span class=\"token builtin\">int</span><span class=\"token punctuation\">,</span> <span class=\"token builtin\">input</span><span class=\"token punctuation\">(</span><span class=\"token punctuation\">)</span><span class=\"token punctuation\">.</span>split<span class=\"token punctuation\">(</span><span class=\"token punctuation\">)</span><span class=\"token punctuation\">)</span>\nl <span class=\"token operator\">=</span> <span class=\"token builtin\">list</span><span class=\"token punctuation\">(</span><span class=\"token builtin\">map</span><span class=\"token punctuation\">(</span><span class=\"token builtin\">int</span><span class=\"token punctuation\">,</span> <span class=\"token builtin\">input</span><span class=\"token punctuation\">(</span><span class=\"token punctuation\">)</span><span class=\"token punctuation\">.</span>split<span class=\"token punctuation\">(</span><span class=\"token punctuation\">)</span><span class=\"token punctuation\">)</span><span class=\"token punctuation\">)</span>\n\n<span class=\"token comment\"># 세그먼트 트리 크기</span>\nheight <span class=\"token operator\">=</span> math<span class=\"token punctuation\">.</span>ceil<span class=\"token punctuation\">(</span>math<span class=\"token punctuation\">.</span>log2<span class=\"token punctuation\">(</span>n<span class=\"token punctuation\">)</span><span class=\"token punctuation\">)</span>\nsize <span class=\"token operator\">=</span> <span class=\"token number\">2</span> <span class=\"token operator\">**</span> <span class=\"token punctuation\">(</span>height <span class=\"token operator\">+</span> <span class=\"token number\">1</span><span class=\"token punctuation\">)</span>\ntree <span class=\"token operator\">=</span> <span class=\"token punctuation\">[</span><span class=\"token number\">0</span> <span class=\"token keyword\">for</span> _ <span class=\"token keyword\">in</span> <span class=\"token builtin\">range</span><span class=\"token punctuation\">(</span>size<span class=\"token punctuation\">)</span><span class=\"token punctuation\">]</span>\ninit<span class=\"token punctuation\">(</span><span class=\"token number\">1</span><span class=\"token punctuation\">,</span> <span class=\"token number\">0</span><span class=\"token punctuation\">,</span> n<span class=\"token operator\">-</span><span class=\"token number\">1</span><span class=\"token punctuation\">)</span>\n\n<span class=\"token keyword\">for</span> _ <span class=\"token keyword\">in</span> <span class=\"token builtin\">range</span><span class=\"token punctuation\">(</span>q<span class=\"token punctuation\">)</span><span class=\"token punctuation\">:</span>\n    left<span class=\"token punctuation\">,</span> right<span class=\"token punctuation\">,</span> cindex<span class=\"token punctuation\">,</span> cvalue <span class=\"token operator\">=</span> <span class=\"token builtin\">map</span><span class=\"token punctuation\">(</span><span class=\"token builtin\">int</span><span class=\"token punctuation\">,</span> <span class=\"token builtin\">input</span><span class=\"token punctuation\">(</span><span class=\"token punctuation\">)</span><span class=\"token punctuation\">.</span>split<span class=\"token punctuation\">(</span><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        left<span class=\"token punctuation\">,</span> right <span class=\"token operator\">=</span> right<span class=\"token punctuation\">,</span> left\n    <span class=\"token keyword\">print</span><span class=\"token punctuation\">(</span>query<span class=\"token punctuation\">(</span><span class=\"token number\">1</span><span class=\"token punctuation\">,</span> <span class=\"token number\">0</span><span class=\"token punctuation\">,</span> n<span class=\"token operator\">-</span><span class=\"token number\">1</span><span class=\"token punctuation\">,</span> left<span class=\"token operator\">-</span><span class=\"token number\">1</span><span class=\"token punctuation\">,</span> right<span class=\"token operator\">-</span><span class=\"token number\">1</span><span class=\"token punctuation\">)</span><span class=\"token punctuation\">)</span>\n\n    diff <span class=\"token operator\">=</span> cvalue <span class=\"token operator\">-</span> l<span class=\"token punctuation\">[</span>cindex<span class=\"token operator\">-</span><span class=\"token number\">1</span><span class=\"token punctuation\">]</span>\n    l<span class=\"token punctuation\">[</span>cindex<span class=\"token operator\">-</span><span class=\"token number\">1</span><span class=\"token punctuation\">]</span> <span class=\"token operator\">=</span> cvalue\n    update<span class=\"token punctuation\">(</span><span class=\"token number\">1</span><span class=\"token punctuation\">,</span> <span class=\"token number\">0</span><span class=\"token punctuation\">,</span> n<span class=\"token operator\">-</span><span class=\"token number\">1</span><span class=\"token punctuation\">,</span> cindex<span class=\"token operator\">-</span><span class=\"token number\">1</span><span class=\"token punctuation\">,</span> diff<span class=\"token punctuation\">)</span></code></pre></div>","frontmatter":{"title":"BOJ-1275 - Python","date":"January 16, 2021"}}},"pageContext":{"slug":"/Algorithm/BOJ-1275-Python/","previous":{"fields":{"slug":"/Algorithm/BOJ-15988-Python/"},"frontmatter":{"title":"BOJ-15988 - Python","category":"Algorithm","draft":false}},"next":{"fields":{"slug":"/Algorithm/BOJ-1106-Python/"},"frontmatter":{"title":"BOJ-1106 - Python","category":"Algorithm","draft":false}}}},"staticQueryHashes":["3128451518","3290666882"]}