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leetcode-problemset/leetcode-cn/problem (Chinese)/二叉搜索树中第K小的元素 [kth-smallest-element-in-a-bst].html

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<p>给定一个二叉搜索树的根节点 <code>root</code> ,和一个整数 <code>k</code> ,请你设计一个算法查找其中第 <code>k</code><strong> </strong>个最小元素(从 1 开始计数)。</p>
<p> </p>
<p><strong>示例 1</strong></p>
<img alt="" src="https://assets.leetcode.com/uploads/2021/01/28/kthtree1.jpg" style="width: 212px; height: 301px;" />
<pre>
<strong>输入:</strong>root = [3,1,4,null,2], k = 1
<strong>输出:</strong>1
</pre>
<p><strong>示例 2</strong></p>
<img alt="" src="https://assets.leetcode.com/uploads/2021/01/28/kthtree2.jpg" style="width: 382px; height: 302px;" />
<pre>
<strong>输入:</strong>root = [5,3,6,2,4,null,null,1], k = 3
<strong>输出:</strong>3
</pre>
<p> </p>
<p> </p>
<p><strong>提示:</strong></p>
<ul>
<li>树中的节点数为 <code>n</code></li>
<li><code>1 <= k <= n <= 10<sup>4</sup></code></li>
<li><code>0 <= Node.val <= 10<sup>4</sup></code></li>
</ul>
<p> </p>
<p><strong>进阶:</strong>如果二叉搜索树经常被修改(插入/删除操作)并且你需要频繁地查找第 <code>k</code> 小的值,你将如何优化算法?</p>