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How to Solve Network Recovery Pathways Problem
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Hard#3620
LeetCode ProblemNetwork Recovery Pathways
You are given a directed acyclic graph of n nodes numbered from 0 to n − 1. This is represented by a 2D array edges of length m, where edges[i] = [ui, vi, costi] indicates a one‑way communication from node ui to node vi with a recovery cost of costi. Some nodes may be offline. You are given a boolean array online where online[i] = true means node i is online. Nodes 0 and n − 1 are always online. A path from 0 to n − 1 is valid if: For each valid path, define its score as the minimum edge‑cost along that path. Return the maximum path score (i.e., the largest minimum-edge cost) among all valid paths. If no valid path exists, return -1.
ArrayBinary SearchDynamic ProgrammingGraphTopological SortHeap (Priority Queue)Shortest Path
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Problem Breakdown
Understanding the Network Recovery Pathways Problem
Let's break down this LeetCode problem and understand what makes it challenging in interview settings.
Problem Statement
You are given a directed acyclic graph of n nodes numbered from 0 to n − 1. This is represented by a 2D array edges of length m, where edges[i] = [ui, vi, costi] indicates a one‑way communication from node ui to node vi with a recovery cost of costi. Some nodes may be offline. You are given a boolean array online where online[i] = true means node i is online. Nodes 0 and n − 1 are always online. A path from 0 to n − 1 is valid if: For each valid path, define its score as the minimum edge‑cost along that path. Return the maximum path score (i.e., the largest minimum-edge cost) among all valid paths. If no valid path exists, return -1.
HardProblem #3620
LeetCodeNetwork Recovery Pathways
Related Topics
ArrayBinary SearchDynamic ProgrammingGraphTopological SortHeap (Priority Queue)Shortest Path
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Examples
# Example 1
Input
edges = [[0,1,5],[1,3,10],[0,2,3],[2,3,4]], online = [true,true,true,true], k = 10
Output
3
# Example 2
Input
edges = [[0,1,7],[1,4,5],[0,2,6],[2,3,6],[3,4,2],[2,4,6]], online = [true,true,true,false,true], k = 12
Output
6
Constraints
n == online.length
2 <= n <= 5 * 104
0 <= m == edges.length <= min(105, n * (n - 1) / 2)
edges[i] = [ui, vi, costi]
0 <= ui, vi < n
ui != vi
0 <= costi <= 109
0 <= k <= 5 * 1013
online[i] is either true or false, and both online[0] and online[n − 1] are true.
The given graph is a directed acyclic graph.
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Solve Network Recovery Pathways — You are given a directed acyclic graph of n nodes numbered from 0 to n − 1. This...
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def solve(input):
# Optimal O(n) solution
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Time: O(n) | Space: O(n)
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Frequently Asked Questions
Common questions about solving Network Recovery Pathways and using Phantom Code AI during coding interviews.
How does Phantom Code AI help me solve coding problems like Network Recovery Pathways 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 Network Recovery Pathways?
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 Network Recovery Pathways?
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 Network Recovery Pathways 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 Network Recovery Pathways 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 Network Recovery Pathways 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 Network Recovery Pathways 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 Network Recovery Pathways 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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