mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
synced 2025-01-10 18:48:13 +08:00
174 lines
21 KiB
JSON
174 lines
21 KiB
JSON
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"categoryTitle": "Algorithms",
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"title": "Permutation Sequence",
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"content": "<p>The set <code>[1, 2, 3, ..., n]</code> contains a total of <code>n!</code> unique permutations.</p>\n\n<p>By listing and labeling all of the permutations in order, we get the following sequence for <code>n = 3</code>:</p>\n\n<ol>\n\t<li><code>"123"</code></li>\n\t<li><code>"132"</code></li>\n\t<li><code>"213"</code></li>\n\t<li><code>"231"</code></li>\n\t<li><code>"312"</code></li>\n\t<li><code>"321"</code></li>\n</ol>\n\n<p>Given <code>n</code> and <code>k</code>, return the <code>k<sup>th</sup></code> permutation sequence.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<pre><strong>Input:</strong> n = 3, k = 3\n<strong>Output:</strong> \"213\"\n</pre><p><strong class=\"example\">Example 2:</strong></p>\n<pre><strong>Input:</strong> n = 4, k = 9\n<strong>Output:</strong> \"2314\"\n</pre><p><strong class=\"example\">Example 3:</strong></p>\n<pre><strong>Input:</strong> n = 3, k = 1\n<strong>Output:</strong> \"123\"\n</pre>\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= n <= 9</code></li>\n\t<li><code>1 <= k <= n!</code></li>\n</ul>\n",
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"translatedTitle": "排列序列",
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"translatedContent": "<p>给出集合 <code>[1,2,3,...,n]</code>，其所有元素共有 <code>n!</code> 种排列。</p>\n\n<p>按大小顺序列出所有排列情况，并一一标记，当 <code>n = 3</code> 时, 所有排列如下：</p>\n\n<ol>\n\t<li><code>\"123\"</code></li>\n\t<li><code>\"132\"</code></li>\n\t<li><code>\"213\"</code></li>\n\t<li><code>\"231\"</code></li>\n\t<li><code>\"312\"</code></li>\n\t<li><code>\"321\"</code></li>\n</ol>\n\n<p>给定 <code>n</code> 和 <code>k</code>，返回第 <code>k</code> 个排列。</p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>n = 3, k = 3\n<strong>输出：</strong>\"213\"\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>n = 4, k = 9\n<strong>输出：</strong>\"2314\"\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre>\n<strong>输入：</strong>n = 3, k = 1\n<strong>输出：</strong>\"123\"\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 <= n <= 9</code></li>\n\t<li><code>1 <= k <= n!</code></li>\n</ul>\n",
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