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HomeLeetCode ProblemsMinimum Weighted Subgraph With the Required Paths II
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How to Solve Minimum Weighted Subgraph With the Required Paths II Problem

Master the Minimum Weighted Subgraph With the Required Paths II LeetCode problem with undetectable real-time assistance. Get instant solutions and explanations during your coding interviews.

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Hard#3553
LeetCode Problem

Minimum Weighted Subgraph With the Required Paths II

You are given an undirected weighted tree with n nodes, numbered from 0 to n - 1. It is represented by 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.​ Additionally, you are given a 2D integer array queries, where queries[j] = [src1j, src2j, destj]. Return an array answer of length equal to queries.length, where answer[j] is the minimum total weight of a subtree such that it is possible to reach destj from both src1j and src2j using edges in this subtree. A subtree here is any connected subset of nodes and edges of the original tree forming a valid tree.

ArrayTreeDepth-First Search

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Problem Breakdown

Understanding the Minimum Weighted Subgraph With the Required Paths II Problem

Let's break down this LeetCode problem and understand what makes it challenging in interview settings.

Problem Statement

You are given an undirected weighted tree with n nodes, numbered from 0 to n - 1. It is represented by 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.​ Additionally, you are given a 2D integer array queries, where queries[j] = [src1j, src2j, destj]. Return an array answer of length equal to queries.length, where answer[j] is the minimum total weight of a subtree such that it is possible to reach destj from both src1j and src2j using edges in this subtree. A subtree here is any connected subset of nodes and edges of the original tree forming a valid tree.

HardProblem #3553
LeetCode

Minimum Weighted Subgraph With the Required Paths II

Related Topics

ArrayTreeDepth-First Search

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Get real-time assistance for Minimum Weighted Subgraph With the Required Paths II problems during coding interviews. Phantom Code AI provides instant solutions and explanations.

Examples

# Example 1

Input
edges = [[0,1,2],[1,2,3],[1,3,5],[1,4,4],[2,5,6]], queries = [[2,3,4],[0,2,5]]
Output
[12,11]

# Example 2

Input
edges = [[1,0,8],[0,2,7]], queries = [[0,1,2]]
Output
[15]

Constraints

3 <= n <= 105
edges.length == n - 1
edges[i].length == 3
0 <= ui, vi < n
1 <= wi <= 104
1 <= queries.length <= 105
queries[j].length == 3
0 <= src1j, src2j, destj < n
src1j, src2j, and destj are pairwise distinct.
The input is generated such that edges represents a valid tree.

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Solve Minimum Weighted Subgraph With the Required Paths II — You are given an undirected weighted tree with n nodes, numbered from 0 to n - 1...

Here's the optimal approach using Array:

def solve(input):
# Optimal O(n) solution
return result

Time: O(n)  |  Space: O(n)

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Frequently Asked Questions

Common questions about solving Minimum Weighted Subgraph With the Required Paths II and using Phantom Code AI during coding interviews.

How does Phantom Code AI help me solve coding problems like Minimum Weighted Subgraph With the Required Paths II during interviews?
Phantom Code AI generates complete solutions instantly with proper complexity analysis, letting you focus on explaining your approach and demonstrating problem-solving skills rather than getting stuck on implementation details during high-pressure situations.
What if the interviewer asks follow-up questions or modifications to problems like Minimum Weighted Subgraph With the Required Paths II?
Phantom Code AI adapts in real-time. Screenshot the modified problem or use audio mode to capture the interviewer's follow-up, and get an updated solution within seconds — including edge cases and optimizations.
Can Phantom Code AI help me communicate my solution for problems like Minimum Weighted Subgraph With the Required Paths II?
Yes. Phantom Code AI provides step-by-step approach explanations with 3 progressive thoughts, so you can walk through your solution naturally. It also provides time and space complexity analysis to discuss trade-offs.
How does Phantom Code AI assist with different programming languages for Minimum Weighted Subgraph With the Required Paths II type problems?
Phantom Code AI supports 11 programming languages including Python, Java, C++, JavaScript, TypeScript, Go, Rust, Ruby, Swift, Kotlin, and C#. Set your preferred language and get idiomatic solutions.
What coding mistakes does Phantom Code AI help me avoid during Minimum Weighted Subgraph With the Required Paths II interviews?
Phantom Code AI 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.
Is Phantom Code AI detectable when solving problems like Minimum Weighted Subgraph With the Required Paths II during live interviews?
No. Phantom Code AI runs as an invisible desktop overlay that doesn't appear in screen shares, recordings, or proctoring software. It works with Zoom, HackerRank, CodeSignal, CoderPad, and all major platforms.
How does Phantom Code AI help when I'm struggling with Minimum Weighted Subgraph With the Required Paths II style questions under pressure?
The AI provides structured guidance: first the approach (what algorithm/data structure to use and why), then the implementation with clean code, and finally complexity analysis. This helps you think clearly even under pressure.
Does Phantom Code AI work for the coding platforms used in Minimum Weighted Subgraph With the Required Paths II interviews?
Yes. Phantom Code AI works with all major coding platforms including LeetCode, HackerRank, CodeSignal, CoderPad, HackerEarth, and any browser-based coding environment.
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