How to Solve Count the Number of Good Nodes Problem
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Count the Number of Good Nodes
There is an undirected tree with n nodes labeled from 0 to n - 1, and rooted at node 0. You are given a 2D integer array edges of length n - 1, where edges[i] = [ai, bi] indicates that there is an edg...
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Understanding the Count the Number of Good Nodes Problem
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Problem Statement
There is an undirected tree with n nodes labeled from 0 to n - 1, and rooted at node 0. 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. A node is good if all the subtrees rooted at its children have the same size. Return the number of good nodes in the given tree. A subtree of treeName is a tree consisting of a node in treeName and all of its descendants.
Count the Number of Good Nodes
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Examples
edges = [[0,1],[0,2],[1,3],[1,4],[2,5],[2,6]]
7
All of the nodes of the given tree are good.
edges = [[0,1],[1,2],[2,3],[3,4],[0,5],[1,6],[2,7],[3,8]]
6
There are 6 good nodes in the given tree. They are colored in the image above.
edges = [[0,1],[1,2],[1,3],[1,4],[0,5],[5,6],[6,7],[7,8],[0,9],[9,10],[9,12],[10,11]]
12
All nodes except node 9 are good.
Constraints
2 <= n <= 105
edges.length == n - 1
edges[i].length == 2
0 <= ai, bi < n
The input is generated such that edges represents a valid tree.
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