{"componentChunkName":"component---src-templates-blog-post-js","path":"/Algorithm/BOJ-5676-Python/","result":{"data":{"site":{"siteMetadata":{"title":"hyesungoh","author":"hyesungoh","siteUrl":"https://www.hyesungoh.xyz","comment":{"disqusShortName":"","utterances":"hyesungoh/blog"},"sponsor":{"buyMeACoffeeId":""}}},"markdownRemark":{"id":"3c464251-a144-5b78-aec3-d5956eceb7aa","excerpt":"수열을 입력받은 후 해당 인덱스의 값을 변경, 구간곱을 계산하여 해당 구간곱의 값이 양수, 음수, 0인 경우에 따라 +, -, 0을 출력하는 두가지 입력이 존재하는 문제. 모든 풀이는 세그먼트 트리를 이용하여 풀었다. 첫 풀이는 입력 및 저장되는 값을 그대로 계산하여 출력을 요구할 때 0과 비교하여 풀었으나 오버플로우로 유발됐다고 예상되는 시간초과 결과를 얻게 되었다. 두번째 풀이는 입력되는 수를 0과 비교하여 1, 0, -1로 반환하는 함수를 이용하여 풀었다.","html":"<p>수열을 입력받은 후 해당 인덱스의 값을 변경, 구간곱을 계산하여 해당 구간곱의 값이 양수, 음수, 0인 경우에 따라 +, -, 0을 출력하는 두가지 입력이 존재하는 문제. 모든 풀이는 세그먼트 트리를 이용하여 풀었다. 첫 풀이는 입력 및 저장되는 값을 그대로 계산하여 출력을 요구할 때 0과 비교하여 풀었으나 오버플로우로 유발됐다고 예상되는 시간초과 결과를 얻게 되었다. 두번째 풀이는 입력되는 수를 0과 비교하여 1, 0, -1로 반환하는 함수를 이용하여 풀었다.</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    tree<span class=\"token punctuation\">[</span>node<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 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    <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> left <span class=\"token operator\">></span> end <span class=\"token keyword\">or</span> right <span class=\"token operator\">&lt;</span> start<span class=\"token punctuation\">:</span>\n        <span class=\"token keyword\">return</span> <span class=\"token number\">1</span>\n    <span class=\"token keyword\">if</span> left <span class=\"token operator\">&lt;=</span> start <span class=\"token keyword\">and</span> right <span class=\"token operator\">>=</span> end<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    <span class=\"token keyword\">return</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\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> to<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>\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> to\n        <span class=\"token keyword\">return</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    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> to<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> to<span class=\"token punctuation\">)</span>\n    tree<span class=\"token punctuation\">[</span>node<span class=\"token punctuation\">]</span> <span class=\"token operator\">=</span> tree<span class=\"token punctuation\">[</span>node<span class=\"token operator\">*</span><span class=\"token number\">2</span><span class=\"token punctuation\">]</span> <span class=\"token operator\">*</span> tree<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>\n\n<span class=\"token keyword\">def</span> <span class=\"token function\">check_num</span><span class=\"token punctuation\">(</span>n<span class=\"token punctuation\">)</span><span class=\"token punctuation\">:</span>\n    n <span class=\"token operator\">=</span> <span class=\"token builtin\">int</span><span class=\"token punctuation\">(</span>n<span class=\"token punctuation\">)</span>\n    <span class=\"token keyword\">return</span> <span class=\"token number\">0</span> <span class=\"token keyword\">if</span> n <span class=\"token operator\">==</span> <span class=\"token number\">0</span> <span class=\"token keyword\">else</span> <span class=\"token punctuation\">(</span><span class=\"token number\">1</span> <span class=\"token keyword\">if</span> n <span class=\"token operator\">></span> <span class=\"token number\">0</span> <span class=\"token keyword\">else</span> <span class=\"token operator\">-</span><span class=\"token number\">1</span><span class=\"token punctuation\">)</span>\n\n<span class=\"token keyword\">while</span> <span class=\"token boolean\">True</span><span class=\"token punctuation\">:</span>\n    <span class=\"token keyword\">try</span><span class=\"token punctuation\">:</span>\n        n<span class=\"token punctuation\">,</span> k <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\">except</span><span class=\"token punctuation\">:</span>\n        <span class=\"token keyword\">break</span>\n\n    l <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>check_num<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    ans <span class=\"token operator\">=</span> <span class=\"token punctuation\">[</span><span class=\"token punctuation\">]</span>\n\n    height <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>\n    size <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>\n    tree <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>\n\n    init<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> i <span class=\"token keyword\">in</span> <span class=\"token builtin\">range</span><span class=\"token punctuation\">(</span>k<span class=\"token punctuation\">)</span><span class=\"token punctuation\">:</span>\n        method<span class=\"token punctuation\">,</span> s<span class=\"token punctuation\">,</span> e <span class=\"token operator\">=</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>\n        s<span class=\"token punctuation\">,</span> e <span class=\"token operator\">=</span> <span class=\"token builtin\">int</span><span class=\"token punctuation\">(</span>s<span class=\"token punctuation\">)</span><span class=\"token punctuation\">,</span> <span class=\"token builtin\">int</span><span class=\"token punctuation\">(</span>e<span class=\"token punctuation\">)</span>\n\n        <span class=\"token keyword\">if</span> method <span class=\"token operator\">==</span> <span class=\"token string\">\"C\"</span><span class=\"token punctuation\">:</span>\n            e <span class=\"token operator\">=</span> check_num<span class=\"token punctuation\">(</span>e<span class=\"token punctuation\">)</span>\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> s<span class=\"token operator\">-</span><span class=\"token number\">1</span><span class=\"token punctuation\">,</span> e<span class=\"token punctuation\">)</span>\n\n        <span class=\"token keyword\">else</span><span class=\"token punctuation\">:</span>\n            temp <span class=\"token operator\">=</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> s<span class=\"token operator\">-</span><span class=\"token number\">1</span><span class=\"token punctuation\">,</span> e<span class=\"token operator\">-</span><span class=\"token number\">1</span><span class=\"token punctuation\">)</span>\n            <span class=\"token keyword\">if</span> temp <span class=\"token operator\">==</span> <span class=\"token number\">0</span><span class=\"token punctuation\">:</span>\n                ans<span class=\"token punctuation\">.</span>append<span class=\"token punctuation\">(</span><span class=\"token string\">\"0\"</span><span class=\"token punctuation\">)</span>\n            <span class=\"token keyword\">else</span><span class=\"token punctuation\">:</span>\n                ans<span class=\"token punctuation\">.</span>append<span class=\"token punctuation\">(</span><span class=\"token string\">\"+\"</span> <span class=\"token keyword\">if</span> temp <span class=\"token operator\">></span> <span class=\"token number\">0</span> <span class=\"token keyword\">else</span> <span class=\"token string\">\"-\"</span><span class=\"token punctuation\">)</span>\n    <span class=\"token keyword\">print</span><span class=\"token punctuation\">(</span><span class=\"token string\">''</span><span class=\"token punctuation\">.</span>join<span class=\"token punctuation\">(</span>ans<span class=\"token punctuation\">)</span><span class=\"token punctuation\">)</span></code></pre></div>","frontmatter":{"title":"BOJ-5676 - Python","date":"January 10, 2021"}}},"pageContext":{"slug":"/Algorithm/BOJ-5676-Python/","previous":{"fields":{"slug":"/Algorithm/BOJ-11060-Python/"},"frontmatter":{"title":"BOJ-11060 - Python","category":"Algorithm","draft":false}},"next":{"fields":{"slug":"/Algorithm/BOJ-2133-Python/"},"frontmatter":{"title":"BOJ-2133 - Python","category":"Algorithm","draft":false}}}},"staticQueryHashes":["3128451518","3290666882"]}