{ "data": { "question": { "questionId": "2445", "questionFrontendId": "2368", "categoryTitle": "Algorithms", "boundTopicId": 1723748, "title": "Reachable Nodes With Restrictions", "titleSlug": "reachable-nodes-with-restrictions", "content": "
There is an undirected tree with n
nodes labeled from 0
to n - 1
and n - 1
edges.
You are given a 2D integer array edges
of length n - 1
where edges[i] = [ai, bi]
indicates that there is an edge between nodes ai
and bi
in the tree. You are also given an integer array restricted
which represents restricted nodes.
Return the maximum number of nodes you can reach from node 0
without visiting a restricted node.
Note that node 0
will not be a restricted node.
\n
Example 1:
\n\n\nInput: n = 7, edges = [[0,1],[1,2],[3,1],[4,0],[0,5],[5,6]], restricted = [4,5]\nOutput: 4\nExplanation: 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\n\n
Example 2:
\n\n\nInput: n = 7, edges = [[0,1],[0,2],[0,5],[0,4],[3,2],[6,5]], restricted = [4,2,1]\nOutput: 3\nExplanation: 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\n\n
\n
Constraints:
\n\n2 <= n <= 105
edges.length == n - 1
edges[i].length == 2
0 <= ai, bi < n
ai != bi
edges
represents a valid tree.1 <= restricted.length < n
1 <= restricted[i] < n
restricted
are unique.现有一棵由 n
个节点组成的无向树,节点编号从 0
到 n - 1
,共有 n - 1
条边。
给你一个二维整数数组 edges
,长度为 n - 1
,其中 edges[i] = [ai, bi]
表示树中节点 ai
和 bi
之间存在一条边。另给你一个整数数组 restricted
表示 受限 节点。
在不访问受限节点的前提下,返回你可以从节点 0
到达的 最多 节点数目。
注意,节点 0
不 会标记为受限节点。
\n\n
示例 1:
\n\n输入:n = 7, edges = [[0,1],[1,2],[3,1],[4,0],[0,5],[5,6]], restricted = [4,5]\n输出:4\n解释: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。\n\n
示例 2:
\n\n输入:n = 7, edges = [[0,1],[0,2],[0,5],[0,4],[3,2],[6,5]], restricted = [4,2,1]\n输出:3\n解释: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\n\n
\n\n
提示:
\n\n2 <= n <= 105
edges.length == n - 1
edges[i].length == 2
0 <= ai, bi < n
ai != bi
edges
表示一棵有效的树1 <= restricted.length < n
1 <= restricted[i] < n
restricted
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