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{
"data": {
"question": {
"questionId": "230",
"questionFrontendId": "230",
"categoryTitle": "Algorithms",
"boundTopicId": 1451,
"title": "Kth Smallest Element in a BST",
"titleSlug": "kth-smallest-element-in-a-bst",
"content": "<p>Given the <code>root</code> of a binary search tree, and an integer <code>k</code>, return <em>the</em> <code>k<sup>th</sup></code> <em>smallest value (<strong>1-indexed</strong>) of all the values of the nodes in the tree</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/01/28/kthtree1.jpg\" style=\"width: 212px; height: 301px;\" />\n<pre>\n<strong>Input:</strong> root = [3,1,4,null,2], k = 1\n<strong>Output:</strong> 1\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/01/28/kthtree2.jpg\" style=\"width: 382px; height: 302px;\" />\n<pre>\n<strong>Input:</strong> root = [5,3,6,2,4,null,null,1], k = 3\n<strong>Output:</strong> 3\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li>The number of nodes in the tree is <code>n</code>.</li>\n\t<li><code>1 &lt;= k &lt;= n &lt;= 10<sup>4</sup></code></li>\n\t<li><code>0 &lt;= Node.val &lt;= 10<sup>4</sup></code></li>\n</ul>\n\n<p>&nbsp;</p>\n<p><strong>Follow up:</strong> If the BST is modified often (i.e., we can do insert and delete operations) and you need to find the kth smallest frequently, how would you optimize?</p>\n",
"translatedTitle": "二叉搜索树中第K小的元素",
"translatedContent": "<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>\n\n<p> </p>\n\n<p><strong>示例 1</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/01/28/kthtree1.jpg\" style=\"width: 212px; height: 301px;\" />\n<pre>\n<strong>输入:</strong>root = [3,1,4,null,2], k = 1\n<strong>输出:</strong>1\n</pre>\n\n<p><strong>示例 2</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/01/28/kthtree2.jpg\" style=\"width: 382px; height: 302px;\" />\n<pre>\n<strong>输入:</strong>root = [5,3,6,2,4,null,null,1], k = 3\n<strong>输出:</strong>3\n</pre>\n\n<p> </p>\n\n<p> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li>树中的节点数为 <code>n</code> 。</li>\n\t<li><code>1 <= k <= n <= 10<sup>4</sup></code></li>\n\t<li><code>0 <= Node.val <= 10<sup>4</sup></code></li>\n</ul>\n\n<p> </p>\n\n<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>\n",
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"code": "/**\n * Definition for a binary tree node.\n * type TreeNode struct {\n * Val int\n * Left *TreeNode\n * Right *TreeNode\n * }\n */\nfunc kthSmallest(root *TreeNode, k int) int {\n\n}",
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"hints": [
"Try to utilize the property of a BST.",
"Try in-order traversal. (Credits to @chan13)",
"What if you could modify the BST node's structure?",
"The optimal runtime complexity is O(height of BST)."
],
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