Used by thousands of developers who passed their interviews
How to Solve The Time When the Network Becomes Idle Problem
Master the The Time When the Network Becomes Idle LeetCode problem with undetectable real-time assistance. Get instant solutions and explanations during your coding interviews.
PhantomCodeAI generates complete solutions and debugging hints that you can use while explaining your approach, so you stay calm and in control.
undetectable
real-time
works on major platforms
Medium#2039
LeetCode ProblemThe Time When the Network Becomes Idle
There is a network of n servers, labeled from 0 to n - 1. You are given a 2D integer array edges, where edges[i] = [ui, vi] indicates there is a message channel between servers ui and vi, and they can pass any number of messages to each other directly in one second. You are also given a 0-indexed integer array patience of length n. All servers are connected, i.e., a message can be passed from one server to any other server(s) directly or indirectly through the message channels. The server labeled 0 is the master server. The rest are data servers. Each data server needs to send its message to the master server for processing and wait for a reply. Messages move between servers optimally, so every message takes the least amount of time to arrive at the master server. The master server will process all newly arrived messages instantly and send a reply to the originating server via the reversed path the message had gone through. At the beginning of second 0, each data server sends its message to be processed. Starting from second 1, at the beginning of every second, each data server will check if it has received a reply to the message it sent (including any newly arrived replies) from the master server: The network becomes idle when there are no messages passing between servers or arriving at servers. Return the earliest second starting from which the network becomes idle.
PhantomCodeAI will help you solve this problem in real-time during your interview
Get instant solutions, explanations, and code generation
Problem Breakdown
Understanding the The Time When the Network Becomes Idle Problem
Let's break down this LeetCode problem and understand what makes it challenging in interview settings.
Problem Statement
There is a network of n servers, labeled from 0 to n - 1. You are given a 2D integer array edges, where edges[i] = [ui, vi] indicates there is a message channel between servers ui and vi, and they can pass any number of messages to each other directly in one second. You are also given a 0-indexed integer array patience of length n. All servers are connected, i.e., a message can be passed from one server to any other server(s) directly or indirectly through the message channels. The server labeled 0 is the master server. The rest are data servers. Each data server needs to send its message to the master server for processing and wait for a reply. Messages move between servers optimally, so every message takes the least amount of time to arrive at the master server. The master server will process all newly arrived messages instantly and send a reply to the originating server via the reversed path the message had gone through. At the beginning of second 0, each data server sends its message to be processed. Starting from second 1, at the beginning of every second, each data server will check if it has received a reply to the message it sent (including any newly arrived replies) from the master server: The network becomes idle when there are no messages passing between servers or arriving at servers. Return the earliest second starting from which the network becomes idle.
MediumProblem #2039
LeetCodeThe Time When the Network Becomes Idle
Related Topics
How PhantomCodeAI Helps
Get real-time assistance for The Time When the Network Becomes Idle problems during coding interviews. PhantomCodeAI provides instant solutions and explanations.
Examples
# Example 1
Input
edges = [[0,1],[1,2]], patience = [0,2,1]
Output
8
# Example 2
Input
edges = [[0,1],[0,2],[1,2]], patience = [0,10,10]
Output
3
Constraints
n == patience.length
2 <= n <= 105
patience[0] == 0
1 <= patience[i] <= 105 for 1 <= i < n
1 <= edges.length <= min(105, n * (n - 1) / 2)
edges[i].length == 2
0 <= ui, vi < n
ui != vi
There are no duplicate edges.
Each server can directly or indirectly reach another server.
How PhantomCodeAI Helps with LeetCode Problems
Reinforce undetectability, platform compatibility, and real-time assistance to remove any doubt.
1000+
developers use PhantomCodeAI
and growing every day
95%
success rate
of users pass their interviews
100%
undetectable
native desktop architecture
Real-time
assistance
instant solutions during interviews
See PhantomCodeAI in Action
Watch how PhantomCodeAI helps solve LeetCode problems during live interviews
Start Interview
⌘I
Online Round
⌘O
Hide⌘B
Interview
Listening
Think
Solve The Time When the Network Becomes Idle — There is a network of n servers, labeled from 0 to n - 1. You are given a 2D int...
Here's the optimal approach using Array:
def solve(input):
# Optimal O(n) solution
return result
Time: O(n) | Space: O(n)
Start Over ⌘G
Think & Crack ⌘↵
Undetectability Checklist
Run compatibility test before interviews
Use recommended Zoom version settings
Enable advanced screen capture options
Verify native desktop architecture
Test with screen recording software
Platform Compatibility
Zoom
Supported
Google Meet
Supported
HackerRank
Supported
CodeSignal
Supported
CoderPad
Supported
Teams
Supported
User results and traction
Thousands of developers use PhantomCodeAI. Social proof signals that this approach helps real candidates land offers across a range of companies.
Undetectability and technical details
Our native desktop architecture avoids common detection vectors used by browser extensions. We provide a clear checklist so you can run basic checks and confirm the app will be invisible.
Platform compatibility and limitations
We work with Zoom, HackerRank, CodeSignal, CoderPad and other web-based platforms. Check the compatibility note and request a browser link if a specific desktop app is unsupported.
Frequently Asked Questions
Common questions about solving The Time When the Network Becomes Idle and using PhantomCodeAI during coding interviews.
How does PhantomCodeAI help with LeetCode problems during a coding interview?
PhantomCodeAI reads the problem from a screenshot or listens to it via audio, then generates a complete solution with a step-by-step approach and time/space complexity, so you can focus on explaining your reasoning rather than getting stuck on implementation.
Which programming languages does PhantomCodeAI support?
11 languages including Python, Java, C++, JavaScript, TypeScript, Go, Rust, Ruby, Swift, Kotlin, and C#. Set a preferred language to get idiomatic solutions.
Does PhantomCodeAI work with HackerRank, CodeSignal, and CoderPad?
Yes — it works alongside LeetCode, HackerRank, CodeSignal, CoderPad, and HackerEarth, plus any browser-based coding environment.
Can PhantomCodeAI handle follow-up questions and modifications?
Yes. Capture the modified problem by screenshot or audio and get an updated solution within seconds, including new edge cases and optimizations.
Is PhantomCodeAI detectable during live interviews?
PhantomCodeAI runs as a native desktop overlay that does not appear in screen shares, recordings, or proctoring software, and works with Zoom, Google Meet, Microsoft Teams, and major coding platforms.
Should I still practice these problems on my own first?
Yes. The most durable preparation is solving problems unaided first, then using AI afterward to review your approach, complexity, and missed edge cases — use it to debrief and learn, not to skip the reps.
Related LeetCode Problems
Practice more problems similar to The Time When the Network Becomes Idle.
20+ Stealth Features. Zero Detection Cases.
The only AI interview tool with an undetectable desktop overlay, real-time audio listening, and personalized AI responses.