leetcode-problemset/leetcode-cn/originData/gray-code.json

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            "questionId": "89",
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            "categoryTitle": "Algorithms",
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            "title": "Gray Code",
            "titleSlug": "gray-code",
            "content": "<p>An <strong>n-bit gray code sequence</strong> is a sequence of <code>2<sup>n</sup></code> integers where:</p>\n\n<ul>\n\t<li>Every integer is in the <strong>inclusive</strong> range <code>[0, 2<sup>n</sup> - 1]</code>,</li>\n\t<li>The first integer is <code>0</code>,</li>\n\t<li>An integer appears <strong>no more than once</strong> in the sequence,</li>\n\t<li>The binary representation of every pair of <strong>adjacent</strong> integers differs by <strong>exactly one bit</strong>, and</li>\n\t<li>The binary representation of the <strong>first</strong> and <strong>last</strong> integers differs by <strong>exactly one bit</strong>.</li>\n</ul>\n\n<p>Given an integer <code>n</code>, return <em>any valid <strong>n-bit gray code sequence</strong></em>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 2\n<strong>Output:</strong> [0,1,3,2]\n<strong>Explanation:</strong>\nThe binary representation of [0,1,3,2] is [00,01,11,10].\n- 0<u>0</u> and 0<u>1</u> differ by one bit\n- <u>0</u>1 and <u>1</u>1 differ by one bit\n- 1<u>1</u> and 1<u>0</u> differ by one bit\n- <u>1</u>0 and <u>0</u>0 differ by one bit\n[0,2,3,1] is also a valid gray code sequence, whose binary representation is [00,10,11,01].\n- <u>0</u>0 and <u>1</u>0 differ by one bit\n- 1<u>0</u> and 1<u>1</u> differ by one bit\n- <u>1</u>1 and <u>0</u>1 differ by one bit\n- 0<u>1</u> and 0<u>0</u> differ by one bit\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 1\n<strong>Output:</strong> [0,1]\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 16</code></li>\n</ul>\n",
            "translatedTitle": "格雷编码",
            "translatedContent": "<strong>n 位格雷码序列</strong> 是一个由 <code>2<sup>n</sup></code> 个整数组成的序列，其中：\n<ul>\n\t<li>每个整数都在范围 <code>[0, 2<sup>n</sup> - 1]</code> 内（含 <code>0</code> 和 <code>2<sup>n</sup> - 1</code>）</li>\n\t<li>第一个整数是 <code>0</code></li>\n\t<li>一个整数在序列中出现 <strong>不超过一次</strong></li>\n\t<li>每对 <strong>相邻</strong> 整数的二进制表示 <strong>恰好一位不同</strong> ，且</li>\n\t<li><strong>第一个</strong> 和 <strong>最后一个</strong> 整数的二进制表示 <strong>恰好一位不同</strong></li>\n</ul>\n\n<p>给你一个整数 <code>n</code> ，返回任一有效的 <strong>n 位格雷码序列</strong> 。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>n = 2\n<strong>输出：</strong>[0,1,3,2]\n<strong>解释：</strong>\n[0,1,3,2] 的二进制表示是 [00,01,11,10] 。\n- 0<strong><em>0</em></strong> 和 0<em><strong>1</strong></em> 有一位不同\n- <em><strong>0</strong></em>1 和 <em><strong>1</strong></em>1 有一位不同\n- 1<em><strong>1</strong></em> 和 1<em><strong>0</strong></em> 有一位不同\n- <em><strong>1</strong></em>0 和 <em><strong>0</strong></em>0 有一位不同\n[0,2,3,1] 也是一个有效的格雷码序列，其二进制表示是 [00,10,11,01] 。\n- <em><strong>0</strong></em>0 和 <em><strong>1</strong></em>0 有一位不同\n- 1<em><strong>0</strong></em> 和 1<em><strong>1</strong></em> 有一位不同\n- <em><strong>1</strong></em>1 和 <em><strong>0</strong></em>1 有一位不同\n- 0<em><strong>1</strong></em> 和 0<em><strong>0</strong></em> 有一位不同\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>n = 1\n<strong>输出：</strong>[0,1]\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;= 16</code></li>\n</ul>\n",
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