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"categoryTitle": "Algorithms",
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"title": "K-th Symbol in Grammar",
"titleSlug": "k-th-symbol-in-grammar",
"content": "<p>We build a table of <code>n</code> rows (<strong>1-indexed</strong>). We start by writing <code>0</code> in the <code>1<sup>st</sup></code> row. Now in every subsequent row, we look at the previous row and replace each occurrence of <code>0</code> with <code>01</code>, and each occurrence of <code>1</code> with <code>10</code>.</p>\n\n<ul>\n\t<li>For example, for <code>n = 3</code>, the <code>1<sup>st</sup></code> row is <code>0</code>, the <code>2<sup>nd</sup></code> row is <code>01</code>, and the <code>3<sup>rd</sup></code> row is <code>0110</code>.</li>\n</ul>\n\n<p>Given two integer <code>n</code> and <code>k</code>, return the <code>k<sup>th</sup></code> (<strong>1-indexed</strong>) symbol in the <code>n<sup>th</sup></code> row of a table of <code>n</code> rows.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 1, k = 1\n<strong>Output:</strong> 0\n<strong>Explanation:</strong> row 1: <u>0</u>\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 2, k = 1\n<strong>Output:</strong> 0\n<strong>Explanation:</strong> \nrow 1: 0\nrow 2: <u>0</u>1\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 2, k = 2\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> \nrow 1: 0\nrow 2: 0<u>1</u>\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 30</code></li>\n\t<li><code>1 &lt;= k &lt;= 2<sup>n - 1</sup></code></li>\n</ul>\n",
"translatedTitle": "第K个语法符号",
"translatedContent": "<p>我们构建了一个包含 <code>n</code> 行(&nbsp;<strong>索引从 1&nbsp; 开始&nbsp;</strong>)的表。首先在第一行我们写上一个 <code>0</code>。接下来的每一行,将前一行中的<code>0</code>替换为<code>01</code><code>1</code>替换为<code>10</code>。</p>\n\n<ul>\n\t<li>例如,对于 <code>n = 3</code> ,第 <code>1</code> 行是 <code>0</code> ,第 <code>2</code> 行是 <code>01</code> 第3行是 <code>0110</code> 。</li>\n</ul>\n\n<p>给定行数&nbsp;<code>n</code>&nbsp;和序数 <code>k</code>,返回第 <code>n</code> 行中第 <code>k</code>&nbsp;个字符。(&nbsp;<code>k</code>&nbsp;<strong>从索引 1 开始</strong></p>\n\n<p><br />\n<strong>示例 1:</strong></p>\n\n<pre>\n<strong>输入:</strong> n = 1, k = 1\n<strong>输出:</strong> 0\n<strong>解释: </strong>第一行:<u>0</u>\n</pre>\n\n<p><strong>示例 2:</strong></p>\n\n<pre>\n<strong>输入:</strong> n = 2, k = 1\n<strong>输出:</strong> 0\n<strong>解释:</strong> \n第一行: 0 \n第二行: <u>0</u>1\n</pre>\n\n<p><strong>示例 3:</strong></p>\n\n<pre>\n<strong>输入:</strong> n = 2, k = 2\n<strong>输出:</strong> 1\n<strong>解释:</strong>\n第一行: 0\n第二行: 0<u>1</u>\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 30</code></li>\n\t<li><code>1 &lt;= k &lt;= 2<sup>n - 1</sup></code></li>\n</ul>\n",
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