mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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195 lines
31 KiB
JSON
195 lines
31 KiB
JSON
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"questionId": "2545",
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"questionFrontendId": "2458",
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"categoryTitle": "Algorithms",
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"boundTopicId": 1929915,
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"title": "Height of Binary Tree After Subtree Removal Queries",
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"titleSlug": "height-of-binary-tree-after-subtree-removal-queries",
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"content": "<p>You are given the <code>root</code> of a <strong>binary tree</strong> with <code>n</code> nodes. Each node is assigned a unique value from <code>1</code> to <code>n</code>. You are also given an array <code>queries</code> of size <code>m</code>.</p>\n\n<p>You have to perform <code>m</code> <strong>independent</strong> queries on the tree where in the <code>i<sup>th</sup></code> query you do the following:</p>\n\n<ul>\n\t<li><strong>Remove</strong> the subtree rooted at the node with the value <code>queries[i]</code> from the tree. It is <strong>guaranteed</strong> that <code>queries[i]</code> will <strong>not</strong> be equal to the value of the root.</li>\n</ul>\n\n<p>Return <em>an array </em><code>answer</code><em> of size </em><code>m</code><em> where </em><code>answer[i]</code><em> is the height of the tree after performing the </em><code>i<sup>th</sup></code><em> query</em>.</p>\n\n<p><strong>Note</strong>:</p>\n\n<ul>\n\t<li>The queries are independent, so the tree returns to its <strong>initial</strong> state after each query.</li>\n\t<li>The height of a tree is the <strong>number of edges in the longest simple path</strong> from the root to some node in the tree.</li>\n</ul>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/09/07/binaryytreeedrawio-1.png\" style=\"width: 495px; height: 281px;\" />\n<pre>\n<strong>Input:</strong> root = [1,3,4,2,null,6,5,null,null,null,null,null,7], queries = [4]\n<strong>Output:</strong> [2]\n<strong>Explanation:</strong> The diagram above shows the tree after removing the subtree rooted at node with value 4.\nThe height of the tree is 2 (The path 1 -> 3 -> 2).\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/09/07/binaryytreeedrawio-2.png\" style=\"width: 301px; height: 284px;\" />\n<pre>\n<strong>Input:</strong> root = [5,8,9,2,1,3,7,4,6], queries = [3,2,4,8]\n<strong>Output:</strong> [3,2,3,2]\n<strong>Explanation:</strong> We have the following queries:\n- Removing the subtree rooted at node with value 3. The height of the tree becomes 3 (The path 5 -> 8 -> 2 -> 4).\n- Removing the subtree rooted at node with value 2. The height of the tree becomes 2 (The path 5 -> 8 -> 1).\n- Removing the subtree rooted at node with value 4. The height of the tree becomes 3 (The path 5 -> 8 -> 2 -> 6).\n- Removing the subtree rooted at node with value 8. The height of the tree becomes 2 (The path 5 -> 9 -> 3).\n</pre>\n\n<p> </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>2 <= n <= 10<sup>5</sup></code></li>\n\t<li><code>1 <= Node.val <= n</code></li>\n\t<li>All the values in the tree are <strong>unique</strong>.</li>\n\t<li><code>m == queries.length</code></li>\n\t<li><code>1 <= m <= min(n, 10<sup>4</sup>)</code></li>\n\t<li><code>1 <= queries[i] <= n</code></li>\n\t<li><code>queries[i] != root.val</code></li>\n</ul>\n",
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"translatedTitle": "移除子树后的二叉树高度",
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"translatedContent": "<p>给你一棵 <strong>二叉树</strong> 的根节点 <code>root</code> ，树中有 <code>n</code> 个节点。每个节点都可以被分配一个从 <code>1</code> 到 <code>n</code> 且互不相同的值。另给你一个长度为 <code>m</code> 的数组 <code>queries</code> 。</p>\n\n<p>你必须在树上执行 <code>m</code> 个 <strong>独立</strong> 的查询，其中第 <code>i</code> 个查询你需要执行以下操作：</p>\n\n<ul>\n\t<li>从树中 <strong>移除</strong> 以 <code>queries[i]</code> 的值作为根节点的子树。题目所用测试用例保证 <code>queries[i]</code> <strong>不</strong> 等于根节点的值。</li>\n</ul>\n\n<p>返回一个长度为 <code>m</code> 的数组<em> </em><code>answer</code><em> </em>，其中<em> </em><code>answer[i]</code><em> </em>是执行第 <code>i</code> 个查询后树的高度。</p>\n\n<p><strong>注意：</strong></p>\n\n<ul>\n\t<li>查询之间是独立的，所以在每个查询执行后，树会回到其 <strong>初始</strong> 状态。</li>\n\t<li>树的高度是从根到树中某个节点的 <strong>最长简单路径中的边数</strong> 。</li>\n</ul>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/09/07/binaryytreeedrawio-1.png\" style=\"width: 495px; height: 281px;\" /></p>\n\n<pre>\n<strong>输入：</strong>root = [1,3,4,2,null,6,5,null,null,null,null,null,7], queries = [4]\n<strong>输出：</strong>[2]\n<strong>解释：</strong>上图展示了从树中移除以 4 为根节点的子树。\n树的高度是 2（路径为 1 -> 3 -> 2）。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/09/07/binaryytreeedrawio-2.png\" style=\"width: 301px; height: 284px;\" /></p>\n\n<pre>\n<strong>输入：</strong>root = [5,8,9,2,1,3,7,4,6], queries = [3,2,4,8]\n<strong>输出：</strong>[3,2,3,2]\n<strong>解释：</strong>执行下述查询：\n- 移除以 3 为根节点的子树。树的高度变为 3（路径为 5 -> 8 -> 2 -> 4）。\n- 移除以 2 为根节点的子树。树的高度变为 2（路径为 5 -> 8 -> 1）。\n- 移除以 4 为根节点的子树。树的高度变为 3（路径为 5 -> 8 -> 2 -> 6）。\n- 移除以 8 为根节点的子树。树的高度变为 2（路径为 5 -> 9 -> 3）。\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li>树中节点的数目是 <code>n</code></li>\n\t<li><code>2 <= n <= 10<sup>5</sup></code></li>\n\t<li><code>1 <= Node.val <= n</code></li>\n\t<li>树中的所有值 <strong>互不相同</strong></li>\n\t<li><code>m == queries.length</code></li>\n\t<li><code>1 <= m <= min(n, 10<sup>4</sup>)</code></li>\n\t<li><code>1 <= queries[i] <= n</code></li>\n\t<li><code>queries[i] != root.val</code></li>\n</ul>\n",
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