leetcode-problemset/leetcode-cn/originData/count-the-number-of-good-nodes.json

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        "question": {
            "questionId": "3486",
            "questionFrontendId": "3249",
            "categoryTitle": "Algorithms",
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            "title": "Count the Number of Good Nodes",
            "titleSlug": "count-the-number-of-good-nodes",
            "content": "<p>There is an <strong>undirected</strong> tree with <code>n</code> nodes labeled from <code>0</code> to <code>n - 1</code>, and rooted at node <code>0</code>. You are given a 2D integer array <code>edges</code> of length <code>n - 1</code>, where <code>edges[i] = [a<sub>i</sub>, b<sub>i</sub>]</code> indicates that there is an edge between nodes <code>a<sub>i</sub></code> and <code>b<sub>i</sub></code> in the tree.</p>\n\n<p>A node is <strong>good</strong> if all the <span data-keyword=\"subtree\">subtrees</span> rooted at its children have the same size.</p>\n\n<p>Return the number of <strong>good</strong> nodes in the given tree.</p>\n\n<p>A <strong>subtree</strong> of <code>treeName</code> is a tree consisting of a node in <code>treeName</code> and all of its descendants.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">edges = [[0,1],[0,2],[1,3],[1,4],[2,5],[2,6]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">7</span></p>\n\n<p><strong>Explanation:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/05/26/tree1.png\" style=\"width: 360px; height: 158px;\" />\n<p>All of the nodes of the given tree are good.</p>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">edges = [[0,1],[1,2],[2,3],[3,4],[0,5],[1,6],[2,7],[3,8]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">6</span></p>\n\n<p><strong>Explanation:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/06/03/screenshot-2024-06-03-193552.png\" style=\"width: 360px; height: 303px;\" />\n<p>There are 6 good nodes in the given tree. They are colored in the image above.</p>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">edges = [[0,1],[1,2],[1,3],[1,4],[0,5],[5,6],[6,7],[7,8],[0,9],[9,10],[9,12],[10,11]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">12</span></p>\n\n<p><strong>Explanation:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/08/08/rob.jpg\" style=\"width: 450px; height: 277px;\" />\n<p>All nodes except node 9 are good.</p>\n</div>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>edges.length == n - 1</code></li>\n\t<li><code>edges[i].length == 2</code></li>\n\t<li><code>0 &lt;= a<sub>i</sub>, b<sub>i</sub> &lt; n</code></li>\n\t<li>The input is generated such that <code>edges</code> represents a valid tree.</li>\n</ul>\n",
            "translatedTitle": "统计好节点的数目",
            "translatedContent": "<p>现有一棵 <strong>无向</strong> 树，树中包含 <code>n</code> 个节点，按从 <code>0</code> 到 <code>n - 1</code> 标记。树的根节点是节点 <code>0</code> 。给你一个长度为 <code>n - 1</code> 的二维整数数组 <code>edges</code>，其中 <code>edges[i] = [a<sub>i</sub>, b<sub>i</sub>]</code> 表示树中节点 <code>a<sub>i</sub></code> 与节点 <code>b<sub>i</sub></code> 之间存在一条边。</p>\n\n<p>如果一个节点的所有子节点为根的&nbsp;<span data-keyword=\"subtree\">子树</span>&nbsp;包含的节点数相同，则认为该节点是一个 <strong>好节点</strong>。</p>\n\n<p>返回给定树中<strong> 好节点 </strong>的数量。</p>\n\n<p><strong>子树</strong>&nbsp;指的是一个节点以及它所有后代节点构成的一棵树。</p>\n\n<p>&nbsp;</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入：</strong><span class=\"example-io\">edges = [[0,1],[0,2],[1,3],[1,4],[2,5],[2,6]]</span></p>\n\n<p><strong>输出：</strong><span class=\"example-io\">7</span></p>\n\n<p><strong>说明：</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/05/26/tree1.png\" style=\"width: 360px; height: 158px;\" />\n<p>树的所有节点都是好节点。</p>\n</div>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入：</strong><span class=\"example-io\">edges = [[0,1],[1,2],[2,3],[3,4],[0,5],[1,6],[2,7],[3,8]]</span></p>\n\n<p><strong>输出：</strong><span class=\"example-io\">6</span></p>\n\n<p><strong>说明：</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/06/03/screenshot-2024-06-03-193552.png\" style=\"width: 360px; height: 303px;\" />\n<p>树中有 6 个好节点。上图中已将这些节点着色。</p>\n</div>\n\n<p><strong class=\"example\">示例 3：</strong></p>\n\n<div class=\"example-block\">\n<p><span class=\"example-io\"><b>输入：</b>edges = [[0,1],[1,2],[1,3],[1,4],[0,5],[5,6],[6,7],[7,8],[0,9],[9,10],[9,12],[10,11]]</span></p>\n\n<p><span class=\"example-io\"><b>输出：</b>12</span></p>\n\n<p><strong>解释：</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/08/08/rob.jpg\" style=\"width: 450px; height: 277px;\" />\n<p>除了节点 9 以外其他所有节点都是好节点。</p>\n</div>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>edges.length == n - 1</code></li>\n\t<li><code>edges[i].length == 2</code></li>\n\t<li><code>0 &lt;= a<sub>i</sub>, b<sub>i</sub> &lt; n</code></li>\n\t<li>输入确保 <code>edges</code> 总表示一棵有效的树。</li>\n</ul>\n",
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