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leetcode-problemset/leetcode-cn/originData/beautiful-arrangement.json
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"categoryTitle": "Algorithms",
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"title": "Beautiful Arrangement",
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"content": "<p>Suppose you have <code>n</code> integers labeled <code>1</code> through <code>n</code>. A permutation of those <code>n</code> integers <code>perm</code> (<strong>1-indexed</strong>) is considered a <strong>beautiful arrangement</strong> if for every <code>i</code> (<code>1 &lt;= i &lt;= n</code>), <strong>either</strong> of the following is true:</p>\n\n<ul>\n\t<li><code>perm[i]</code> is divisible by <code>i</code>.</li>\n\t<li><code>i</code> is divisible by <code>perm[i]</code>.</li>\n</ul>\n\n<p>Given an integer <code>n</code>, return <em>the <strong>number</strong> of the <strong>beautiful arrangements</strong> that you can construct</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> 2\n<b>Explanation:</b> \nThe first beautiful arrangement is [1,2]:\n - perm[1] = 1 is divisible by i = 1\n - perm[2] = 2 is divisible by i = 2\nThe second beautiful arrangement is [2,1]:\n - perm[1] = 2 is divisible by i = 1\n - i = 2 is divisible by perm[2] = 1\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> 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;= 15</code></li>\n</ul>\n",
"translatedTitle": "优美的排列",
"translatedContent": "<p>假设有从 1 到 n 的 n 个整数。用这些整数构造一个数组 <code>perm</code><strong>下标从 1 开始</strong>),只要满足下述条件 <strong>之一</strong> ,该数组就是一个 <strong>优美的排列</strong> </p>\n\n<ul>\n\t<li><code>perm[i]</code> 能够被 <code>i</code> 整除</li>\n\t<li><code>i</code> 能够被 <code>perm[i]</code> 整除</li>\n</ul>\n\n<p>给你一个整数 <code>n</code> ,返回可以构造的 <strong>优美排列 </strong>的 <strong>数量</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>2\n<b>解释:</b>\n第 1 个优美的排列是 [1,2]\n - perm[1] = 1 能被 i = 1 整除\n - perm[2] = 2 能被 i = 2 整除\n第 2 个优美的排列是 [2,1]:\n - perm[1] = 2 能被 i = 1 整除\n - i = 2 能被 perm[2] = 1 整除\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>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;= 15</code></li>\n</ul>\n",
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