leetcode-problemset/leetcode-cn/originData/minimum-height-trees.json

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        "question": {
            "questionId": "310",
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            "categoryTitle": "Algorithms",
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            "title": "Minimum Height Trees",
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            "content": "<p>A tree is an undirected graph in which any two vertices are connected by&nbsp;<i>exactly</i>&nbsp;one path. In other words, any connected graph without simple cycles is a tree.</p>\n\n<p>Given a tree of <code>n</code> nodes&nbsp;labelled from <code>0</code> to <code>n - 1</code>, and an array of&nbsp;<code>n - 1</code>&nbsp;<code>edges</code> where <code>edges[i] = [a<sub>i</sub>, b<sub>i</sub>]</code> indicates that there is an undirected edge between the two nodes&nbsp;<code>a<sub>i</sub></code> and&nbsp;<code>b<sub>i</sub></code> in the tree,&nbsp;you can choose any node of the tree as the root. When you select a node <code>x</code> as the root, the result tree has height <code>h</code>. Among all possible rooted trees, those with minimum height (i.e. <code>min(h)</code>)&nbsp; are called <strong>minimum height trees</strong> (MHTs).</p>\n\n<p>Return <em>a list of all <strong>MHTs&#39;</strong> root labels</em>.&nbsp;You can return the answer in <strong>any order</strong>.</p>\n\n<p>The <strong>height</strong> of a rooted tree is the number of edges on the longest downward path between the root and a leaf.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/09/01/e1.jpg\" style=\"width: 800px; height: 213px;\" />\n<pre>\n<strong>Input:</strong> n = 4, edges = [[1,0],[1,2],[1,3]]\n<strong>Output:</strong> [1]\n<strong>Explanation:</strong> As shown, the height of the tree is 1 when the root is the node with label 1 which is the only MHT.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/09/01/e2.jpg\" style=\"width: 800px; height: 321px;\" />\n<pre>\n<strong>Input:</strong> n = 6, edges = [[3,0],[3,1],[3,2],[3,4],[5,4]]\n<strong>Output:</strong> [3,4]\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 2 * 10<sup>4</sup></code></li>\n\t<li><code>edges.length == n - 1</code></li>\n\t<li><code>0 &lt;= a<sub>i</sub>, b<sub>i</sub> &lt; n</code></li>\n\t<li><code>a<sub>i</sub> != b<sub>i</sub></code></li>\n\t<li>All the pairs <code>(a<sub>i</sub>, b<sub>i</sub>)</code> are distinct.</li>\n\t<li>The given input is <strong>guaranteed</strong> to be a tree and there will be <strong>no repeated</strong> edges.</li>\n</ul>\n",
            "translatedTitle": "最小高度树",
            "translatedContent": "<p>树是一个无向图，其中任何两个顶点只通过一条路径连接。 换句话说，一个任何没有简单环路的连通图都是一棵树。</p>\n\n<p>给你一棵包含&nbsp;<code>n</code>&nbsp;个节点的树，标记为&nbsp;<code>0</code>&nbsp;到&nbsp;<code>n - 1</code> 。给定数字&nbsp;<code>n</code>&nbsp;和一个有 <code>n - 1</code> 条无向边的 <code>edges</code>&nbsp;列表（每一个边都是一对标签），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> 和 <code>b<sub>i</sub></code> 之间存在一条无向边。</p>\n\n<p>可选择树中任何一个节点作为根。当选择节点 <code>x</code> 作为根节点时，设结果树的高度为 <code>h</code> 。在所有可能的树中，具有最小高度的树（即，<code>min(h)</code>）被称为 <strong>最小高度树</strong> 。</p>\n\n<p>请你找到所有的 <strong>最小高度树</strong> 并按 <strong>任意顺序</strong> 返回它们的根节点标签列表。</p>\n树的 <strong>高度</strong> 是指根节点和叶子节点之间最长向下路径上边的数量。\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/09/01/e1.jpg\" style=\"height: 213px; width: 800px;\" />\n<pre>\n<strong>输入：</strong>n = 4, edges = [[1,0],[1,2],[1,3]]\n<strong>输出：</strong>[1]\n<strong>解释：</strong>如图所示，当根是标签为 1 的节点时，树的高度是 1 ，这是唯一的最小高度树。</pre>\n\n<p><strong>示例 2：</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/09/01/e2.jpg\" style=\"height: 321px; width: 800px;\" />\n<pre>\n<strong>输入：</strong>n = 6, edges = [[3,0],[3,1],[3,2],[3,4],[5,4]]\n<strong>输出：</strong>[3,4]\n</pre>\n\n<p>&nbsp;</p>\n\n<ul>\n</ul>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 2 * 10<sup>4</sup></code></li>\n\t<li><code>edges.length == n - 1</code></li>\n\t<li><code>0 &lt;= a<sub>i</sub>, b<sub>i</sub> &lt; n</code></li>\n\t<li><code>a<sub>i</sub> != b<sub>i</sub></code></li>\n\t<li>所有 <code>(a<sub>i</sub>, b<sub>i</sub>)</code> 互不相同</li>\n\t<li>给定的输入 <strong>保证</strong> 是一棵树，并且 <strong>不会有重复的边</strong></li>\n</ul>\n",
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