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{
"data": {
"question": {
"questionId": "1359",
"questionFrontendId": "1238",
"categoryTitle": "Algorithms",
"boundTopicId": 37357,
"title": "Circular Permutation in Binary Representation",
"titleSlug": "circular-permutation-in-binary-representation",
"content": "<p>Given 2 integers <code>n</code> and <code>start</code>. Your task is return <strong>any</strong> permutation <code>p</code>&nbsp;of <code>(0,1,2.....,2^n -1) </code>such that :</p>\r\n\r\n<ul>\r\n\t<li><code>p[0] = start</code></li>\r\n\t<li><code>p[i]</code> and <code>p[i+1]</code>&nbsp;differ by only one bit in their binary representation.</li>\r\n\t<li><code>p[0]</code> and <code>p[2^n -1]</code>&nbsp;must also differ by only one bit in their binary representation.</li>\r\n</ul>\r\n\r\n<p>&nbsp;</p>\r\n<p><strong class=\"example\">Example 1:</strong></p>\r\n\r\n<pre>\r\n<strong>Input:</strong> n = 2, start = 3\r\n<strong>Output:</strong> [3,2,0,1]\r\n<strong>Explanation:</strong> The binary representation of the permutation is (11,10,00,01). \r\nAll the adjacent element differ by one bit. Another valid permutation is [3,1,0,2]\r\n</pre>\r\n\r\n<p><strong class=\"example\">Example 2:</strong></p>\r\n\r\n<pre>\r\n<strong>Input:</strong> n = 3, start = 2\r\n<strong>Output:</strong> [2,6,7,5,4,0,1,3]\r\n<strong>Explanation:</strong> The binary representation of the permutation is (010,110,111,101,100,000,001,011).\r\n</pre>\r\n\r\n<p>&nbsp;</p>\r\n<p><strong>Constraints:</strong></p>\r\n\r\n<ul>\r\n\t<li><code>1 &lt;= n &lt;= 16</code></li>\r\n\t<li><code>0 &lt;= start&nbsp;&lt;&nbsp;2 ^ n</code></li>\r\n</ul>",
"translatedTitle": "循环码排列",
"translatedContent": "<p>给你两个整数&nbsp;<code>n</code> 和 <code>start</code>。你的任务是返回任意 <code>(0,1,2,,...,2^n-1)</code> 的排列 <code>p</code>,并且满足:</p>\n\n<ul>\n\t<li><code>p[0] = start</code></li>\n\t<li><code>p[i]</code> 和 <code>p[i+1]</code>&nbsp;的二进制表示形式只有一位不同</li>\n\t<li><code>p[0]</code> 和 <code>p[2^n -1]</code>&nbsp;的二进制表示形式也只有一位不同</li>\n</ul>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<strong>输入:</strong>n = 2, start = 3\n<strong>输出:</strong>[3,2,0,1]\n<strong>解释:</strong>这个排列的二进制表示是 (11,10,00,01)\n 所有的相邻元素都有一位是不同的,另一个有效的排列是 [3,1,0,2]\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>n = 3, start = 2\n<strong>输出:</strong>[2,6,7,5,4,0,1,3]\n<strong>解释:</strong>这个排列的二进制表示是 (010,110,111,101,100,000,001,011)\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\t<li><code>0 &lt;= start&nbsp;&lt;&nbsp;2^n</code></li>\n</ul>\n",
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"code": "class Solution(object):\n def circularPermutation(self, n, start):\n \"\"\"\n :type n: int\n :type start: int\n :rtype: List[int]\n \"\"\"\n ",
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