{"componentChunkName":"component---src-templates-blog-post-js","path":"/algorithm/codility/lesson14/ 33-minMaxDivision/","result":{"data":{"site":{"siteMetadata":{"title":"Zayden","author":"[Your Name]","siteUrl":"https://gatsby-starter-bee.netlify.com","comment":{"disqusShortName":"","utterances":"JaeYeopHan/gatsby-starter-bee"},"sponsor":{"buyMeACoffeeId":"jbee"}}},"markdownRemark":{"id":"fc42be18-db80-5397-8f67-f8cfd12de111","excerpt":"문제 설명 정수 K, M과 N개의 정수로 구성된 비어 있지 않은 배열 A가 주어집니다. 배열의 모든 요소는 M보다 크지 않습니다. 이 배열을 연속된 요소로 구성된 K 블록으로 나누어야 합니다. 블록의 크기는 0에서 N 사이의 정수이며, 배열의 모든 요소는 어떤 블록에 속해야 합니다. X에서 Y까지의 블록의 합은 AX + AX + 1 + … + AY와 같습니다. + AY입니다. 빈 블록의 합은 0입니다. 큰 합은 모든 블록의 최대 합입니다. 예를 들어 정수 K = 3, M = 5와 배열 A…","html":"<h2 id=\"문제-설명\" style=\"position:relative;\"><a href=\"#%EB%AC%B8%EC%A0%9C-%EC%84%A4%EB%AA%85\" aria-label=\"문제 설명 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 설명</h2>\n<p>정수 K, M과 N개의 정수로 구성된 비어 있지 않은 배열 A가 주어집니다. 배열의 모든 요소는 M보다 크지 않습니다.</p>\n<p>이 배열을 연속된 요소로 구성된 K 블록으로 나누어야 합니다. 블록의 크기는 0에서 N 사이의 정수이며, 배열의 모든 요소는 어떤 블록에 속해야 합니다.</p>\n<p>X에서 Y까지의 블록의 합은 A[X] + A[X + 1] + … + A[Y]와 같습니다. + A[Y]입니다. 빈 블록의 합은 0입니다.</p>\n<p>큰 합은 모든 블록의 최대 합입니다.</p>\n<p>예를 들어 정수 K = 3, M = 5와 배열 A가 주어집니다:</p>\n<div class=\"gatsby-highlight\" data-language=\"text\"><pre class=\"language-text\"><code class=\"language-text\">  A[0] = 2\n  A[1] = 1\n  A[2] = 5\n  A[3] = 1\n  A[4] = 2\n  A[5] = 2\n  A[6] = 2</code></pre></div>\n<p>배열은 예를 들어 다음과 같은 블록으로 나눌 수 있습니다:</p>\n<ul>\n<li>[2, 1, 5, 1, 2, 2, 2], [], [], 15의 큰 합으로;</li>\n<li>2], [1, 5, 1, 2], [2, 2], [2, 2]의 큰 합계가 9입니다;</li>\n<li>[2, 1, 5], [], [1, 2, 2, 2], 큰 합계가 8인 경우;</li>\n<li>2, 1], [5, 1], [2, 2, 2], [2, 2, 2]의 큰 합이 6입니다.</li>\n</ul>\n<p>목표는 큰 합을 최소화하는 것입니다. 위의 예에서 6은 최소 큰 합계입니다.</p>\n<p>함수를 작성합니다:</p>\n<div class=\"gatsby-highlight\" data-language=\"javascript\"><pre class=\"language-javascript\"><code class=\"language-javascript\"><span class=\"token keyword\">function</span> <span class=\"token function\">solution</span><span class=\"token punctuation\">(</span><span class=\"token parameter\"><span class=\"token constant\">K</span><span class=\"token punctuation\">,</span> <span class=\"token constant\">M</span><span class=\"token punctuation\">,</span> <span class=\"token constant\">A</span></span><span class=\"token punctuation\">)</span><span class=\"token punctuation\">;</span></code></pre></div>\n<p>정수 K, M과 비어 있지 않은 N개의 정수로 구성된 배열 A가 주어졌을 때 최소의 큰 합을 반환하는 함수입니다.</p>\n<p>예를 들어 K = 3, M = 5, 배열 A가 주어지면 다음과 같습니다:</p>\n<div class=\"gatsby-highlight\" data-language=\"text\"><pre class=\"language-text\"><code class=\"language-text\">\tA[0] = 2\n  A[1] = 1\n  A[2] = 5\n  A[3] = 1\n  A[4] = 2\n  A[5] = 2\n  A[6] = 2</code></pre></div>\n<p>이면 위에서 설명한 대로 함수는 6을 반환해야 합니다.</p>\n<p>다음 가정에 대한 효율적인 알고리즘을 작성합니다:</p>\n<ul>\n<li>N과 K는 [1..100,000] 범위 내의 정수입니다;</li>\n<li>M은 [0..10,000] 범위 내의 정수입니다;</li>\n<li>배열 A의 각 요소는 [0..M] 범위 내의 정수입니다.</li>\n</ul>\n<h2 id=\"문제-접근\" style=\"position:relative;\"><a href=\"#%EB%AC%B8%EC%A0%9C-%EC%A0%91%EA%B7%BC\" aria-label=\"문제 접근 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 접근</h2>\n<p><em>중간값을 이용하여 이분 탐색을 진행한다.</em></p>\n<p><em>중간값을 기준으로 최종값에 범위를 줄여나가면서 비교한다.</em></p>\n<div class=\"gatsby-highlight\" data-language=\"javascript\"><pre class=\"language-javascript\"><code class=\"language-javascript\"><span class=\"token keyword\">function</span> <span class=\"token function\">solution</span><span class=\"token punctuation\">(</span><span class=\"token parameter\"><span class=\"token constant\">K</span><span class=\"token punctuation\">,</span> <span class=\"token constant\">M</span><span class=\"token punctuation\">,</span> <span class=\"token constant\">A</span></span><span class=\"token punctuation\">)</span> <span class=\"token punctuation\">{</span>\n    <span class=\"token keyword\">let</span> minValue <span class=\"token operator\">=</span> Math<span class=\"token punctuation\">.</span><span class=\"token function\">max</span><span class=\"token punctuation\">(</span><span class=\"token operator\">...</span><span class=\"token constant\">A</span><span class=\"token punctuation\">)</span><span class=\"token punctuation\">;</span>\n    <span class=\"token keyword\">let</span> maxValue <span class=\"token operator\">=</span> <span class=\"token constant\">A</span><span class=\"token punctuation\">.</span><span class=\"token function\">reduce</span><span class=\"token punctuation\">(</span><span class=\"token punctuation\">(</span><span class=\"token parameter\">acc<span class=\"token punctuation\">,</span> value</span><span class=\"token punctuation\">)</span> <span class=\"token operator\">=></span> acc <span class=\"token operator\">+</span> value<span class=\"token punctuation\">)</span><span class=\"token punctuation\">;</span>\n\n    <span class=\"token keyword\">if</span> <span class=\"token punctuation\">(</span><span class=\"token constant\">K</span> <span class=\"token operator\">===</span> <span class=\"token number\">1</span><span class=\"token punctuation\">)</span> <span class=\"token punctuation\">{</span>\n        <span class=\"token keyword\">return</span> minValue<span class=\"token punctuation\">;</span>\n    <span class=\"token punctuation\">}</span>\n\n    <span class=\"token keyword\">if</span> <span class=\"token punctuation\">(</span><span class=\"token constant\">K</span> <span class=\"token operator\">>=</span> <span class=\"token constant\">A</span><span class=\"token punctuation\">.</span>length<span class=\"token punctuation\">)</span> <span class=\"token punctuation\">{</span>\n        <span class=\"token keyword\">return</span> maxValue<span class=\"token punctuation\">;</span>\n    <span class=\"token punctuation\">}</span>\n\n    <span class=\"token keyword\">while</span> <span class=\"token punctuation\">(</span>minValue <span class=\"token operator\">&lt;=</span> maxValue<span class=\"token punctuation\">)</span> <span class=\"token punctuation\">{</span>\n        <span class=\"token keyword\">let</span> mid <span class=\"token operator\">=</span> Math<span class=\"token punctuation\">.</span><span class=\"token function\">floor</span><span class=\"token punctuation\">(</span><span class=\"token punctuation\">(</span>maxValue <span class=\"token operator\">+</span> minValue<span class=\"token punctuation\">)</span> <span class=\"token operator\">/</span> <span class=\"token number\">2</span><span class=\"token punctuation\">)</span><span class=\"token punctuation\">;</span>\n\n        <span class=\"token keyword\">let</span> sum <span class=\"token operator\">=</span> <span class=\"token number\">0</span><span class=\"token punctuation\">;</span>\n        <span class=\"token keyword\">let</span> count <span class=\"token operator\">=</span> <span class=\"token number\">0</span><span class=\"token punctuation\">;</span>\n\n\t\t\t\t<span class=\"token comment\">// 블록수가 K 보다 작으면 값이 너무 크다는 의미</span>\n\t\t\t\t<span class=\"token comment\">// 블록수가 K 보다 크면 기준 값이 너무 작다는 의미</span>\n        <span class=\"token keyword\">let</span> isValid <span class=\"token operator\">=</span> <span class=\"token boolean\">true</span><span class=\"token punctuation\">;</span>\n\n        <span class=\"token keyword\">for</span> <span class=\"token punctuation\">(</span><span class=\"token keyword\">let</span> i <span class=\"token operator\">=</span> <span class=\"token number\">0</span><span class=\"token punctuation\">;</span> i <span class=\"token operator\">&lt;</span> <span class=\"token constant\">A</span><span class=\"token punctuation\">.</span>length<span class=\"token punctuation\">;</span> i<span class=\"token operator\">++</span><span class=\"token punctuation\">)</span> <span class=\"token punctuation\">{</span>\n            <span class=\"token keyword\">if</span> <span class=\"token punctuation\">(</span>sum <span class=\"token operator\">+</span> <span class=\"token constant\">A</span><span class=\"token punctuation\">[</span>i<span class=\"token punctuation\">]</span> <span class=\"token operator\">></span> mid<span class=\"token punctuation\">)</span> <span class=\"token punctuation\">{</span>\n                sum <span class=\"token operator\">=</span> <span class=\"token constant\">A</span><span class=\"token punctuation\">[</span>i<span class=\"token punctuation\">]</span><span class=\"token punctuation\">;</span>\n                count<span class=\"token operator\">++</span><span class=\"token punctuation\">;</span>\n            <span class=\"token punctuation\">}</span> <span class=\"token keyword\">else</span> <span class=\"token punctuation\">{</span>\n                sum <span class=\"token operator\">+=</span> <span class=\"token constant\">A</span><span class=\"token punctuation\">[</span>i<span class=\"token punctuation\">]</span><span class=\"token punctuation\">;</span>\n            <span class=\"token punctuation\">}</span>\n\n            <span class=\"token keyword\">if</span> <span class=\"token punctuation\">(</span>count <span class=\"token operator\">>=</span> <span class=\"token constant\">K</span><span class=\"token punctuation\">)</span> <span class=\"token punctuation\">{</span>\n                isValid <span class=\"token operator\">=</span> <span class=\"token boolean\">false</span><span class=\"token punctuation\">;</span>\n                <span class=\"token keyword\">break</span><span class=\"token punctuation\">;</span>\n            <span class=\"token punctuation\">}</span>\n        <span class=\"token punctuation\">}</span>\n\n        <span class=\"token keyword\">if</span> <span class=\"token punctuation\">(</span>isValid<span class=\"token punctuation\">)</span> <span class=\"token punctuation\">{</span>\n            maxValue <span class=\"token operator\">=</span> mid <span class=\"token operator\">-</span> <span class=\"token number\">1</span><span class=\"token punctuation\">;</span>\n        <span class=\"token punctuation\">}</span> <span class=\"token keyword\">else</span> <span class=\"token punctuation\">{</span>\n            minValue <span class=\"token operator\">=</span> mid <span class=\"token operator\">+</span> <span class=\"token number\">1</span><span class=\"token punctuation\">;</span>\n        <span class=\"token punctuation\">}</span>\n    <span class=\"token punctuation\">}</span>\n    \n    <span class=\"token keyword\">return</span> minValue<span class=\"token punctuation\">;</span>\n<span class=\"token punctuation\">}</span></code></pre></div>","frontmatter":{"title":"Codility Lesson 14 - MinMaxDivision","date":"July 18, 2023"}}},"pageContext":{"slug":"/algorithm/codility/lesson14/ 33-minMaxDivision/","previous":{"fields":{"slug":"/algorithm/codility/lesson12/ 32-chocolatesByNumbers/"},"frontmatter":{"title":"Codility Lesson 12 - ChocolatesByNumbers"}},"next":{"fields":{"slug":"/algorithm/codility/lesson15/ 34-absDistinct/"},"frontmatter":{"title":"Codility Lesson 15 - AbsDistinct"}}}}}