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"questionId": "1040",
"questionFrontendId": "998",
"categoryTitle": "Algorithms",
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"title": "Maximum Binary Tree II",
"titleSlug": "maximum-binary-tree-ii",
"content": "<p>A <strong>maximum tree</strong> is a tree where every node has a value greater than any other value in its subtree.</p>\n\n<p>You are given the <code>root</code> of a maximum binary tree and an integer <code>val</code>.</p>\n\n<p>Just as in the <a href=\"https://leetcode.com/problems/maximum-binary-tree/\" target=\"_blank\">previous problem</a>, the given tree was constructed from a list <code>a</code> (<code>root = Construct(a)</code>) recursively with the following <code>Construct(a)</code> routine:</p>\n\n<ul>\n\t<li>If <code>a</code> is empty, return <code>null</code>.</li>\n\t<li>Otherwise, let <code>a[i]</code> be the largest element of <code>a</code>. Create a <code>root</code> node with the value <code>a[i]</code>.</li>\n\t<li>The left child of <code>root</code> will be <code>Construct([a[0], a[1], ..., a[i - 1]])</code>.</li>\n\t<li>The right child of <code>root</code> will be <code>Construct([a[i + 1], a[i + 2], ..., a[a.length - 1]])</code>.</li>\n\t<li>Return <code>root</code>.</li>\n</ul>\n\n<p>Note that we were not given <code>a</code> directly, only a root node <code>root = Construct(a)</code>.</p>\n\n<p>Suppose <code>b</code> is a copy of <code>a</code> with the value <code>val</code> appended to it. It is guaranteed that <code>b</code> has unique values.</p>\n\n<p>Return <code>Construct(b)</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/08/09/maxtree1.JPG\" style=\"width: 376px; height: 235px;\" />\n<pre>\n<strong>Input:</strong> root = [4,1,3,null,null,2], val = 5\n<strong>Output:</strong> [5,4,null,1,3,null,null,2]\n<strong>Explanation:</strong> a = [1,4,2,3], b = [1,4,2,3,5]\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/08/09/maxtree21.JPG\" style=\"width: 358px; height: 156px;\" />\n<pre>\n<strong>Input:</strong> root = [5,2,4,null,1], val = 3\n<strong>Output:</strong> [5,2,4,null,1,null,3]\n<strong>Explanation:</strong> a = [2,1,5,4], b = [2,1,5,4,3]\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/08/09/maxtree3.JPG\" style=\"width: 404px; height: 180px;\" />\n<pre>\n<strong>Input:</strong> root = [5,2,3,null,1], val = 4\n<strong>Output:</strong> [5,2,4,null,1,3]\n<strong>Explanation:</strong> a = [2,1,5,3], b = [2,1,5,3,4]\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 in the range <code>[1, 100]</code>.</li>\n\t<li><code>1 &lt;= Node.val &lt;= 100</code></li>\n\t<li>All the values of the tree are <strong>unique</strong>.</li>\n\t<li><code>1 &lt;= val &lt;= 100</code></li>\n</ul>\n",
"translatedTitle": "最大二叉树 II",
"translatedContent": "<p><strong>最大树</strong> 定义:一棵树,并满足:其中每个节点的值都大于其子树中的任何其他值。</p>\n\n<p>给你最大树的根节点 <code>root</code> 和一个整数 <code>val</code> 。</p>\n\n<p>就像 <a href=\"https://leetcode.cn/problems/maximum-binary-tree/\" target=\"_blank\">之前的问题</a> 那样,给定的树是利用 <code>Construct(a)</code>&nbsp;例程从列表&nbsp;<code>a</code><code>root = Construct(a)</code>)递归地构建的:</p>\n\n<ul>\n\t<li>如果 <code>a</code> 为空,返回&nbsp;<code>null</code> 。</li>\n\t<li>否则,令&nbsp;<code>a[i]</code> 作为 <code>a</code> 的最大元素。创建一个值为&nbsp;<code>a[i]</code>&nbsp;的根节点 <code>root</code> 。</li>\n\t<li><code>root</code>&nbsp;的左子树将被构建为&nbsp;<code>Construct([a[0], a[1], ..., a[i - 1]])</code> 。</li>\n\t<li><code>root</code>&nbsp;的右子树将被构建为&nbsp;<code>Construct([a[i + 1], a[i + 2], ..., a[a.length - 1]])</code> 。</li>\n\t<li>返回&nbsp;<code>root</code> 。</li>\n</ul>\n\n<p>请注意,题目没有直接给出 <code>a</code> ,只是给出一个根节点&nbsp;<code>root = Construct(a)</code> 。</p>\n\n<p>假设 <code>b</code> 是 <code>a</code> 的副本,并在末尾附加值 <code>val</code>。题目数据保证 <code>b</code> 中的值互不相同。</p>\n\n<p>返回&nbsp;<code>Construct(b)</code> 。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<p><strong><img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2019/02/23/maximum-binary-tree-1-1.png\" style=\"height: 160px; width: 159px;\" /><img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2019/02/23/maximum-binary-tree-1-2.png\" style=\"height: 160px; width: 169px;\" /></strong></p>\n\n<pre>\n<strong>输入:</strong>root = [4,1,3,null,null,2], val = 5\n<strong>输出:</strong>[5,4,null,1,3,null,null,2]\n<strong>解释:</strong>a = [1,4,2,3], b = [1,4,2,3,5]</pre>\n\n<p><strong>示例 2<br />\n<img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2019/02/23/maximum-binary-tree-2-1.png\" style=\"height: 160px; width: 180px;\" /><img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2019/02/23/maximum-binary-tree-2-2.png\" style=\"height: 160px; width: 214px;\" /></strong></p>\n\n<pre>\n<strong>输入:</strong>root = [5,2,4,null,1], val = 3\n<strong>输出:</strong>[5,2,4,null,1,null,3]\n<strong>解释:</strong>a = [2,1,5,4], b = [2,1,5,4,3]</pre>\n\n<p><strong>示例 3<br />\n<img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2019/02/23/maximum-binary-tree-3-1.png\" style=\"height: 160px; width: 180px;\" /><img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2019/02/23/maximum-binary-tree-3-2.png\" style=\"height: 160px; width: 201px;\" /></strong></p>\n\n<pre>\n<strong>输入:</strong>root = [5,2,3,null,1], val = 4\n<strong>输出:</strong>[5,2,4,null,1,3]\n<strong>解释:</strong>a = [2,1,5,3], b = [2,1,5,3,4]\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li>树中节点数目在范围 <code>[1, 100]</code> 内</li>\n\t<li><code>1 &lt;= Node.val &lt;= 100</code></li>\n\t<li>树中的所有值 <strong>互不相同</strong></li>\n\t<li><code>1 &lt;= val &lt;= 100</code></li>\n</ul>\n\n<p>&nbsp;</p>\n",
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