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<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>
<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>
<ol>
<li><code>"123"</code></li>
<li><code>"132"</code></li>
<li><code>"213"</code></li>
<li><code>"231"</code></li>
<li><code>"312"</code></li>
<li><code>"321"</code></li>
</ol>
<p>给定 <code>n</code> 和 <code>k</code>,返回第 <code>k</code> 个排列。</p>
<p> </p>
<p><strong>示例 1</strong></p>
<pre>
<strong>输入:</strong>n = 3, k = 3
<strong>输出:</strong>"213"
</pre>
<p><strong>示例 2</strong></p>
<pre>
<strong>输入:</strong>n = 4, k = 9
<strong>输出:</strong>"2314"
</pre>
<p><strong>示例 3</strong></p>
<pre>
<strong>输入:</strong>n = 3, k = 1
<strong>输出:</strong>"123"
</pre>
<p> </p>
<p><strong>提示:</strong></p>
<ul>
<li><code>1 <= n <= 9</code></li>
<li><code>1 <= k <= n!</code></li>
</ul>