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How to Solve Minimum Edge Weight Equilibrium Queries in a Tree Problem
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LeetCode ProblemMinimum Edge Weight Equilibrium Queries in a Tree
There is an undirected tree with n nodes labeled from 0 to n - 1. You are given the integer n and a 2D integer array edges of length n - 1, where edges[i] = [ui, vi, wi] indicates that there is an edge between nodes ui and vi with weight wi in the tree. You are also given a 2D integer array queries of length m, where queries[i] = [ai, bi]. For each query, find the minimum number of operations required to make the weight of every edge on the path from ai to bi equal. In one operation, you can choose any edge of the tree and change its weight to any value. Note that: Return an array answer of length m where answer[i] is the answer to the ith query.
ArrayTreeGraphStrongly Connected Component
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Problem Breakdown
Understanding the Minimum Edge Weight Equilibrium Queries in a Tree Problem
Let's break down this LeetCode problem and understand what makes it challenging in interview settings.
Problem Statement
There is an undirected tree with n nodes labeled from 0 to n - 1. You are given the integer n and a 2D integer array edges of length n - 1, where edges[i] = [ui, vi, wi] indicates that there is an edge between nodes ui and vi with weight wi in the tree. You are also given a 2D integer array queries of length m, where queries[i] = [ai, bi]. For each query, find the minimum number of operations required to make the weight of every edge on the path from ai to bi equal. In one operation, you can choose any edge of the tree and change its weight to any value. Note that: Return an array answer of length m where answer[i] is the answer to the ith query.
HardProblem #2846
LeetCodeMinimum Edge Weight Equilibrium Queries in a Tree
Related Topics
ArrayTreeGraphStrongly Connected Component
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Examples
# Example 1
Input
n = 7, edges = [[0,1,1],[1,2,1],[2,3,1],[3,4,2],[4,5,2],[5,6,2]], queries = [[0,3],[3,6],[2,6],[0,6]]
Output
[0,0,1,3]
# Example 2
Input
n = 8, edges = [[1,2,6],[1,3,4],[2,4,6],[2,5,3],[3,6,6],[3,0,8],[7,0,2]], queries = [[4,6],[0,4],[6,5],[7,4]]
Output
[1,2,2,3]
Constraints
1 <= n <= 104
edges.length == n - 1
edges[i].length == 3
0 <= ui, vi < n
1 <= wi <= 26
The input is generated such that edges represents a valid tree.
1 <= queries.length == m <= 2 * 104
queries[i].length == 2
0 <= ai, bi < n
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Solve Minimum Edge Weight Equilibrium Queries in a Tree — There is an undirected tree with n nodes labeled from 0 to n - 1. You are given ...
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Frequently Asked Questions
Common questions about solving Minimum Edge Weight Equilibrium Queries in a Tree and using Phantom Code during coding interviews.
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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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