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"categoryTitle": "Algorithms",
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"title": "Prison Cells After N Days",
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"content": "<p>There are <code>8</code> prison cells in a row and each cell is either occupied or vacant.</p>\n\n<p>Each day, whether the cell is occupied or vacant changes according to the following rules:</p>\n\n<ul>\n\t<li>If a cell has two adjacent neighbors that are both occupied or both vacant, then the cell becomes occupied.</li>\n\t<li>Otherwise, it becomes vacant.</li>\n</ul>\n\n<p><strong>Note</strong> that because the prison is a row, the first and the last cells in the row can&#39;t have two adjacent neighbors.</p>\n\n<p>You are given an integer array <code>cells</code> where <code>cells[i] == 1</code> if the <code>i<sup>th</sup></code> cell is occupied and <code>cells[i] == 0</code> if the <code>i<sup>th</sup></code> cell is vacant, and you are given an integer <code>n</code>.</p>\n\n<p>Return the state of the prison after <code>n</code> days (i.e., <code>n</code> such changes described above).</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> cells = [0,1,0,1,1,0,0,1], n = 7\n<strong>Output:</strong> [0,0,1,1,0,0,0,0]\n<strong>Explanation:</strong> The following table summarizes the state of the prison on each day:\nDay 0: [0, 1, 0, 1, 1, 0, 0, 1]\nDay 1: [0, 1, 1, 0, 0, 0, 0, 0]\nDay 2: [0, 0, 0, 0, 1, 1, 1, 0]\nDay 3: [0, 1, 1, 0, 0, 1, 0, 0]\nDay 4: [0, 0, 0, 0, 0, 1, 0, 0]\nDay 5: [0, 1, 1, 1, 0, 1, 0, 0]\nDay 6: [0, 0, 1, 0, 1, 1, 0, 0]\nDay 7: [0, 0, 1, 1, 0, 0, 0, 0]\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> cells = [1,0,0,1,0,0,1,0], n = 1000000000\n<strong>Output:</strong> [0,0,1,1,1,1,1,0]\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>cells.length == 8</code></li>\n\t<li><code>cells[i]</code>&nbsp;is either <code>0</code> or <code>1</code>.</li>\n\t<li><code>1 &lt;= n &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
"translatedTitle": "N 天后的牢房",
"translatedContent": "<p>8 间牢房排成一排,每间牢房不是有人住就是空着。</p>\n\n<p>每天,无论牢房是被占用或空置,都会根据以下规则进行更改:</p>\n\n<ul>\n\t<li>如果一间牢房的两个相邻的房间都被占用或都是空的,那么该牢房就会被占用。</li>\n\t<li>否则,它就会被空置。</li>\n</ul>\n\n<p>(请注意,由于监狱中的牢房排成一行,所以行中的第一个和最后一个房间无法有两个相邻的房间。)</p>\n\n<p>我们用以下方式描述监狱的当前状态:如果第 <code>i</code> 间牢房被占用,则 <code>cell[i]==1</code>,否则 <code>cell[i]==0</code>。</p>\n\n<p>根据监狱的初始状态,在 <code>N</code> 天后返回监狱的状况(和上述 N 种变化)。</p>\n\n<p>&nbsp;</p>\n\n<ol>\n</ol>\n\n<p><strong>示例 1</strong></p>\n\n<pre><strong>输入:</strong>cells = [0,1,0,1,1,0,0,1], N = 7\n<strong>输出:</strong>[0,0,1,1,0,0,0,0]\n<strong>解释:\n</strong>下表概述了监狱每天的状况:\nDay 0: [0, 1, 0, 1, 1, 0, 0, 1]\nDay 1: [0, 1, 1, 0, 0, 0, 0, 0]\nDay 2: [0, 0, 0, 0, 1, 1, 1, 0]\nDay 3: [0, 1, 1, 0, 0, 1, 0, 0]\nDay 4: [0, 0, 0, 0, 0, 1, 0, 0]\nDay 5: [0, 1, 1, 1, 0, 1, 0, 0]\nDay 6: [0, 0, 1, 0, 1, 1, 0, 0]\nDay 7: [0, 0, 1, 1, 0, 0, 0, 0]\n\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre><strong>输入:</strong>cells = [1,0,0,1,0,0,1,0], N = 1000000000\n<strong>输出:</strong>[0,0,1,1,1,1,1,0]\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ol>\n\t<li><code>cells.length == 8</code></li>\n\t<li><code>cells[i]</code>&nbsp;的值为 <code>0</code> 或 <code>1</code>&nbsp;</li>\n\t<li><code>1 &lt;= N &lt;= 10^9</code></li>\n</ol>\n",
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