mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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195 lines
26 KiB
JSON
195 lines
26 KiB
JSON
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"categoryTitle": "Algorithms",
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"title": "Number of Nodes in the Sub-Tree With the Same Label",
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"content": "<p>You are given a tree (i.e. a connected, undirected graph that has no cycles) consisting of <code>n</code> nodes numbered from <code>0</code> to <code>n - 1</code> and exactly <code>n - 1</code> <code>edges</code>. The <strong>root</strong> of the tree is the node <code>0</code>, and each node of the tree has <strong>a label</strong> which is a lower-case character given in the string <code>labels</code> (i.e. The node with the number <code>i</code> has the label <code>labels[i]</code>).</p>\n\n<p>The <code>edges</code> array is given on the form <code>edges[i] = [a<sub>i</sub>, b<sub>i</sub>]</code>, which means 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>Return <em>an array of size <code>n</code></em> where <code>ans[i]</code> is the number of nodes in the subtree of the <code>i<sup>th</sup></code> node which have the same label as node <code>i</code>.</p>\n\n<p>A subtree of a tree <code>T</code> is the tree consisting of a node in <code>T</code> and all of its descendant nodes.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/07/01/q3e1.jpg\" style=\"width: 400px; height: 291px;\" />\n<pre>\n<strong>Input:</strong> n = 7, edges = [[0,1],[0,2],[1,4],[1,5],[2,3],[2,6]], labels = "abaedcd"\n<strong>Output:</strong> [2,1,1,1,1,1,1]\n<strong>Explanation:</strong> Node 0 has label 'a' and its sub-tree has node 2 with label 'a' as well, thus the answer is 2. Notice that any node is part of its sub-tree.\nNode 1 has a label 'b'. The sub-tree of node 1 contains nodes 1,4 and 5, as nodes 4 and 5 have different labels than node 1, the answer is just 1 (the node itself).\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/07/01/q3e2.jpg\" style=\"width: 300px; height: 253px;\" />\n<pre>\n<strong>Input:</strong> n = 4, edges = [[0,1],[1,2],[0,3]], labels = "bbbb"\n<strong>Output:</strong> [4,2,1,1]\n<strong>Explanation:</strong> The sub-tree of node 2 contains only node 2, so the answer is 1.\nThe sub-tree of node 3 contains only node 3, so the answer is 1.\nThe sub-tree of node 1 contains nodes 1 and 2, both have label 'b', thus the answer is 2.\nThe sub-tree of node 0 contains nodes 0, 1, 2 and 3, all with label 'b', thus the answer is 4.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/07/01/q3e3.jpg\" style=\"width: 300px; height: 253px;\" />\n<pre>\n<strong>Input:</strong> n = 5, edges = [[0,1],[0,2],[1,3],[0,4]], labels = "aabab"\n<strong>Output:</strong> [3,2,1,1,1]\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= 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>labels.length == n</code></li>\n\t<li><code>labels</code> is consisting of only of lowercase English letters.</li>\n</ul>\n",
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"translatedTitle": "子树中标签相同的节点数",
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"translatedContent": "<p>给你一棵树（即，一个连通的无环无向图），这棵树由编号从 <code>0</code> 到 <code>n - 1</code> 的 n 个节点组成，且恰好有 <code>n - 1</code> 条 <code>edges</code> 。树的根节点为节点 <code>0</code> ，树上的每一个节点都有一个标签，也就是字符串 <code>labels</code> 中的一个小写字符（编号为 <code>i</code> 的 节点的标签就是 <code>labels[i]</code> ）</p>\n\n<p>边数组 <code>edges</code> 以 <code>edges[i] = [a<sub>i</sub>, b<sub>i</sub>]</code> 的形式给出，该格式表示节点 <code>a<sub>i</sub></code> 和 <code>b<sub>i</sub></code> 之间存在一条边。</p>\n\n<p>返回一个大小为 <em><code>n</code></em> 的数组，其中 <code>ans[i]</code> 表示第 <code>i</code> 个节点的子树中与节点 <code>i</code> 标签相同的节点数。</p>\n\n<p>树 <code>T</code> 中的子树是由 <code>T</code> 中的某个节点及其所有后代节点组成的树。</p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2020/07/19/q3e1.jpg\" style=\"height: 321px; width: 441px;\" /></p>\n\n<pre>\n<strong>输入：</strong>n = 7, edges = [[0,1],[0,2],[1,4],[1,5],[2,3],[2,6]], labels = \"abaedcd\"\n<strong>输出：</strong>[2,1,1,1,1,1,1]\n<strong>解释：</strong>节点 0 的标签为 'a' ，以 'a' 为根节点的子树中，节点 2 的标签也是 'a' ，因此答案为 2 。注意树中的每个节点都是这棵子树的一部分。\n节点 1 的标签为 'b' ，节点 1 的子树包含节点 1、4 和 5，但是节点 4、5 的标签与节点 1 不同，故而答案为 1（即，该节点本身）。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2020/07/19/q3e2.jpg\" style=\"height: 321px; width: 381px;\" /></p>\n\n<pre>\n<strong>输入：</strong>n = 4, edges = [[0,1],[1,2],[0,3]], labels = \"bbbb\"\n<strong>输出：</strong>[4,2,1,1]\n<strong>解释：</strong>节点 2 的子树中只有节点 2 ，所以答案为 1 。\n节点 3 的子树中只有节点 3 ，所以答案为 1 。\n节点 1 的子树中包含节点 1 和 2 ，标签都是 'b' ，因此答案为 2 。\n节点 0 的子树中包含节点 0、1、2 和 3，标签都是 'b'，因此答案为 4 。\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2020/07/19/q3e3.jpg\" style=\"height: 321px; width: 381px;\" /></p>\n\n<pre>\n<strong>输入：</strong>n = 5, edges = [[0,1],[0,2],[1,3],[0,4]], labels = \"aabab\"\n<strong>输出：</strong>[3,2,1,1,1]\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 <= n <= 10^5</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>labels.length == n</code></li>\n\t<li><code>labels</code> 仅由小写英文字母组成</li>\n</ul>\n",
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