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How to Solve Find Weighted Median Node in Tree Problem
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LeetCode ProblemFind Weighted Median Node in Tree
You are given an integer n and an undirected, weighted tree rooted at node 0 with n nodes numbered from 0 to n - 1. This is represented by a 2D array edges of length n - 1, where edges[i] = [ui, vi, wi] indicates an edge from node ui to vi with weight wi. The weighted median node is defined as the first node x on the path from ui to vi such that the sum of edge weights from ui to x is greater than or equal to half of the total path weight. You are given a 2D integer array queries. For each queries[j] = [uj, vj], determine the weighted median node along the path from uj to vj. Return an array ans, where ans[j] is the node index of the weighted median for queries[j].
ArrayBinary SearchDynamic ProgrammingTreeDepth-First Search
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Problem Breakdown
Understanding the Find Weighted Median Node in Tree Problem
Let's break down this LeetCode problem and understand what makes it challenging in interview settings.
Problem Statement
You are given an integer n and an undirected, weighted tree rooted at node 0 with n nodes numbered from 0 to n - 1. This is represented by a 2D array edges of length n - 1, where edges[i] = [ui, vi, wi] indicates an edge from node ui to vi with weight wi. The weighted median node is defined as the first node x on the path from ui to vi such that the sum of edge weights from ui to x is greater than or equal to half of the total path weight. You are given a 2D integer array queries. For each queries[j] = [uj, vj], determine the weighted median node along the path from uj to vj. Return an array ans, where ans[j] is the node index of the weighted median for queries[j].
HardProblem #3585
LeetCodeFind Weighted Median Node in Tree
Related Topics
ArrayBinary SearchDynamic ProgrammingTreeDepth-First Search
How Phantom Code Helps
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Examples
# Example 1
Input
n = 2, edges = [[0,1,7]], queries = [[1,0],[0,1]]
Output
[0,1]
# Example 2
Input
n = 3, edges = [[0,1,2],[2,0,4]], queries = [[0,1],[2,0],[1,2]]
Output
[1,0,2] E xplanation:
# Example 3
Input
n = 5, edges = [[0,1,2],[0,2,5],[1,3,1],[2,4,3]], queries = [[3,4],[1,2]]
Output
[2,2]
Constraints
2 <= n <= 105
edges.length == n - 1
edges[i] == [ui, vi, wi]
0 <= ui, vi < n
1 <= wi <= 109
1 <= queries.length <= 105
queries[j] == [uj, vj]
0 <= uj, vj < n
The input is generated such that edges represents a valid tree.
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Solve Find Weighted Median Node in Tree — You are given an integer n and an undirected, weighted tree rooted at node 0 wit...
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def solve(input):
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Frequently Asked Questions
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Phantom Code catches common mistakes like off-by-one errors, missing edge cases, incorrect base conditions, and suboptimal approaches. It provides clean, well-structured code that handles all edge cases.
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