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2368. Reachable Nodes With Restrictions

{leetcode}/problems/reachable-nodes-with-restrictions/[LeetCode - 2368. Reachable Nodes With Restrictions ^]

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] = [a<sub>i</sub>, b<sub>i</sub>] indicates that there is an edge between nodes a<sub>i</sub> and b<sub>i</sub> 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.

Example 1: <img alt="" src="https://assets.leetcode.com/uploads/2022/06/15/ex1drawio.png" style="width: 402px; height: 322px;" />

Input: n = 7, edges = [[0,1],[1,2],[3,1],[4,0],[0,5],[5,6]], restricted = [4,5]
Output: 4
Explanation: The diagram above shows the tree.
We have that [0,1,2,3] are the only nodes that can be reached from node 0 without visiting a restricted node.

Example 2: <img alt="" src="https://assets.leetcode.com/uploads/2022/06/15/ex2drawio.png" style="width: 412px; height: 312px;" />

Input: n = 7, edges = [[0,1],[0,2],[0,5],[0,4],[3,2],[6,5]], restricted = [4,2,1]
Output: 3
Explanation: The diagram above shows the tree.
We have that [0,5,6] are the only nodes that can be reached from node 0 without visiting a restricted node.

Constraints:

  • 2 ⇐ n ⇐ 105

  • edges.length == n - 1

  • edges[i].length == 2

  • 0 ⇐ a<sub>i</sub>, b<sub>i</sub> < n

  • a<sub>i</sub> != b<sub>i</sub>

  • edges represents a valid tree.

  • 1 ⇐ restricted.length < n

  • 1 ⇐ restricted[i] < n

  • All the values of restricted are unique.

思路分析

一刷
link:{sourcedir}/_2368_ReachableNodesWithRestrictions.java[role=include]

参考资料