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How to Solve Minimum Weighted Subgraph With the Required Paths Problem
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LeetCode ProblemMinimum Weighted Subgraph With the Required Paths
You are given an integer n denoting the number of nodes of a weighted directed graph. The nodes are numbered from 0 to n - 1. You are also given a 2D integer array edges where edges[i] = [fromi, toi, weighti] denotes that there exists a directed edge from fromi to toi with weight weighti. Lastly, you are given three distinct integers src1, src2, and dest denoting three distinct nodes of the graph. Return the minimum weight of a subgraph of the graph such that it is possible to reach dest from both src1 and src2 via a set of edges of this subgraph. In case such a subgraph does not exist, return -1. A subgraph is a graph whose vertices and edges are subsets of the original graph. The weight of a subgraph is the sum of weights of its constituent edges.
GraphShortest Path
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Problem Breakdown
Understanding the Minimum Weighted Subgraph With the Required Paths 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 denoting the number of nodes of a weighted directed graph. The nodes are numbered from 0 to n - 1. You are also given a 2D integer array edges where edges[i] = [fromi, toi, weighti] denotes that there exists a directed edge from fromi to toi with weight weighti. Lastly, you are given three distinct integers src1, src2, and dest denoting three distinct nodes of the graph. Return the minimum weight of a subgraph of the graph such that it is possible to reach dest from both src1 and src2 via a set of edges of this subgraph. In case such a subgraph does not exist, return -1. A subgraph is a graph whose vertices and edges are subsets of the original graph. The weight of a subgraph is the sum of weights of its constituent edges.
HardProblem #2203
LeetCodeMinimum Weighted Subgraph With the Required Paths
Related Topics
GraphShortest Path
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Examples
# Example 1
Input
n = 6, edges = [[0,2,2],[0,5,6],[1,0,3],[1,4,5],[2,1,1],[2,3,3],[2,3,4],[3,4,2],[4,5,1]], src1 = 0, src2 = 1, dest = 5
Output
9
# Example 2
Input
n = 3, edges = [[0,1,1],[2,1,1]], src1 = 0, src2 = 1, dest = 2
Output
-1
Constraints
3 <= n <= 105
0 <= edges.length <= 105
edges[i].length == 3
0 <= fromi, toi, src1, src2, dest <= n - 1
fromi != toi
src1, src2, and dest are pairwise distinct.
1 <= weight[i] <= 105
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Solve Minimum Weighted Subgraph With the Required Paths — You are given an integer n denoting the number of nodes of a weighted directed g...
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def solve(input):
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Frequently Asked Questions
Common questions about solving Minimum Weighted Subgraph With the Required Paths and using Phantom Code during coding interviews.
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Phantom Code 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.
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Phantom Code 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.
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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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How does Phantom Code help when I'm struggling with Minimum Weighted Subgraph With the Required Paths 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 work for the coding platforms used in Minimum Weighted Subgraph With the Required Paths interviews?
Yes. Phantom Code works with all major coding platforms including LeetCode, HackerRank, CodeSignal, CoderPad, HackerEarth, and any browser-based coding environment.
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