{ "data": { "question": { "questionId": "1643", "questionFrontendId": "1519", "categoryTitle": "Algorithms", "boundTopicId": 333533, "title": "Number of Nodes in the Sub-Tree With the Same Label", "titleSlug": "number-of-nodes-in-the-sub-tree-with-the-same-label", "content": "

You are given a tree (i.e. a connected, undirected graph that has no cycles) consisting of n nodes numbered from 0 to n - 1 and exactly n - 1 edges. The root of the tree is the node 0, and each node of the tree has a label which is a lower-case character given in the string labels (i.e. The node with the number i has the label labels[i]).

\n\n

The edges array is given on the form edges[i] = [ai, bi], which means there is an edge between nodes ai and bi in the tree.

\n\n

Return an array of size n where ans[i] is the number of nodes in the subtree of the ith node which have the same label as node i.

\n\n

A subtree of a tree T is the tree consisting of a node in T and all of its descendant nodes.

\n\n

 

\n

Example 1:

\n\"\"\n
\nInput: n = 7, edges = [[0,1],[0,2],[1,4],[1,5],[2,3],[2,6]], labels = "abaedcd"\nOutput: [2,1,1,1,1,1,1]\nExplanation: 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
\n\n

Example 2:

\n\"\"\n
\nInput: n = 4, edges = [[0,1],[1,2],[0,3]], labels = "bbbb"\nOutput: [4,2,1,1]\nExplanation: 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
\n\n

Example 3:

\n\"\"\n
\nInput: n = 5, edges = [[0,1],[0,2],[1,3],[0,4]], labels = "aabab"\nOutput: [3,2,1,1,1]\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "子树中标签相同的节点数", "translatedContent": "

给你一棵树（即，一个连通的无环无向图），这棵树由编号从 0  到 n - 1 的 n 个节点组成，且恰好有 n - 1 条 edges 。树的根节点为节点 0 ，树上的每一个节点都有一个标签，也就是字符串 labels 中的一个小写字符（编号为 i 的 节点的标签就是 labels[i] ）

\n\n

边数组 edges 以 edges[i] = [ai, bi] 的形式给出，该格式表示节点 ai 和 bi 之间存在一条边。

\n\n

返回一个大小为 n 的数组，其中 ans[i] 表示第 i 个节点的子树中与节点 i 标签相同的节点数。

\n\n

树 T 中的子树是由 T 中的某个节点及其所有后代节点组成的树。

\n\n

 

\n\n

示例 1：

\n\n

\"\"

\n\n
\n输入：n = 7, edges = [[0,1],[0,2],[1,4],[1,5],[2,3],[2,6]], labels = \"abaedcd\"\n输出：[2,1,1,1,1,1,1]\n解释：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
\n\n

示例 2：

\n\n

\"\"

\n\n
\n输入：n = 4, edges = [[0,1],[1,2],[0,3]], labels = \"bbbb\"\n输出：[4,2,1,1]\n解释：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
\n\n

示例 3：

\n\n

\"\"

\n\n
\n输入：n = 5, edges = [[0,1],[0,2],[1,3],[0,4]], labels = \"aabab\"\n输出：[3,2,1,1,1]\n
\n\n

 

\n\n

提示：

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\\u60a8\\u7684\\u4ee3\\u7801\\u5c06\\u4f1a\\u88ab\\u4e0d\\u7f16\\u8bd1\\u76f4\\u63a5\\u8fd0\\u884c<\\/p>\"]}",
            "book": null,
            "isSubscribed": false,
            "isDailyQuestion": false,
            "dailyRecordStatus": null,
            "editorType": "CKEDITOR",
            "ugcQuestionId": null,
            "style": "LEETCODE",
            "exampleTestcases": "7\n[[0,1],[0,2],[1,4],[1,5],[2,3],[2,6]]\n\"abaedcd\"\n4\n[[0,1],[1,2],[0,3]]\n\"bbbb\"\n5\n[[0,1],[0,2],[1,3],[0,4]]\n\"aabab\"",
            "__typename": "QuestionNode"
        }
    }
}