mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
synced 2025-01-10 18:48:13 +08:00
202 lines
25 KiB
JSON
202 lines
25 KiB
JSON
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"categoryTitle": "Algorithms",
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"boundTopicId": 1723748,
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"title": "Reachable Nodes With Restrictions",
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"titleSlug": "reachable-nodes-with-restrictions",
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"content": "<p>There is an undirected tree with <code>n</code> nodes labeled from <code>0</code> to <code>n - 1</code> and <code>n - 1</code> edges.</p>\n\n<p>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. You are also given an integer array <code>restricted</code> which represents <strong>restricted</strong> nodes.</p>\n\n<p>Return <em>the <strong>maximum</strong> number of nodes you can reach from node </em><code>0</code><em> without visiting a restricted node.</em></p>\n\n<p>Note that node <code>0</code> will <strong>not</strong> be a restricted node.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/06/15/ex1drawio.png\" style=\"width: 402px; height: 322px;\" />\n<pre>\n<strong>Input:</strong> n = 7, edges = [[0,1],[1,2],[3,1],[4,0],[0,5],[5,6]], restricted = [4,5]\n<strong>Output:</strong> 4\n<strong>Explanation:</strong> The diagram above shows the tree.\nWe have that [0,1,2,3] are the only nodes that can be reached from node 0 without visiting a restricted node.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/06/15/ex2drawio.png\" style=\"width: 412px; height: 312px;\" />\n<pre>\n<strong>Input:</strong> n = 7, edges = [[0,1],[0,2],[0,5],[0,4],[3,2],[6,5]], restricted = [4,2,1]\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> The diagram above shows the tree.\nWe have that [0,5,6] are the only nodes that can be reached from node 0 without visiting a restricted node.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 <= n <= 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 <= a<sub>i</sub>, b<sub>i</sub> < n</code></li>\n\t<li><code>a<sub>i</sub> != b<sub>i</sub></code></li>\n\t<li><code>edges</code> represents a valid tree.</li>\n\t<li><code>1 <= restricted.length < n</code></li>\n\t<li><code>1 <= restricted[i] < n</code></li>\n\t<li>All the values of <code>restricted</code> are <strong>unique</strong>.</li>\n</ul>\n",
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"translatedTitle": "受限条件下可到达节点的数目",
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"translatedContent": "<p>现有一棵由 <code>n</code> 个节点组成的无向树，节点编号从 <code>0</code> 到 <code>n - 1</code> ，共有 <code>n - 1</code> 条边。</p>\n\n<p>给你一个二维整数数组 <code>edges</code> ，长度为 <code>n - 1</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> 和 <code>b<sub>i</sub></code> 之间存在一条边。另给你一个整数数组 <code>restricted</code> 表示 <strong>受限</strong> 节点。</p>\n\n<p>在不访问受限节点的前提下，返回你可以从节点<em> </em><code>0</code><em> </em>到达的 <strong>最多</strong> 节点数目<em>。</em></p>\n\n<p>注意，节点 <code>0</code> <strong>不</strong> 会标记为受限节点。</p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/06/15/ex1drawio.png\" style=\"width: 402px; height: 322px;\">\n<pre><strong>输入：</strong>n = 7, edges = [[0,1],[1,2],[3,1],[4,0],[0,5],[5,6]], restricted = [4,5]\n<strong>输出：</strong>4\n<strong>解释：</strong>上图所示正是这棵树。\n在不访问受限节点的前提下，只有节点 [0,1,2,3] 可以从节点 0 到达。</pre>\n\n<p><strong>示例 2：</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/06/15/ex2drawio.png\" style=\"width: 412px; height: 312px;\">\n<pre><strong>输入：</strong>n = 7, edges = [[0,1],[0,2],[0,5],[0,4],[3,2],[6,5]], restricted = [4,2,1]\n<strong>输出：</strong>3\n<strong>解释：</strong>上图所示正是这棵树。\n在不访问受限节点的前提下，只有节点 [0,5,6] 可以从节点 0 到达。\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>2 <= n <= 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 <= a<sub>i</sub>, b<sub>i</sub> < n</code></li>\n\t<li><code>a<sub>i</sub> != b<sub>i</sub></code></li>\n\t<li><code>edges</code> 表示一棵有效的树</li>\n\t<li><code>1 <= restricted.length < n</code></li>\n\t<li><code>1 <= restricted[i] < n</code></li>\n\t<li><code>restricted</code> 中的所有值 <strong>互不相同</strong></li>\n</ul>\n",
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"Can we find all the reachable nodes in a single traversal?",
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"Traverse the graph from node 0 while avoiding the nodes in restricted and do not revisit nodes that have been visited.",
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