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How to Solve Divide Nodes Into the Maximum Number of Groups Problem
Master the Divide Nodes Into the Maximum Number of Groups LeetCode problem with undetectable real-time assistance. Get instant solutions and explanations during your coding interviews.
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Start Free for WindowsHard#2493
LeetCode ProblemDivide Nodes Into the Maximum Number of Groups
You are given a positive integer n representing the number of nodes in an undirected graph. The nodes are labeled from 1 to n. You are also given a 2D integer array edges, where edges[i] = [ai, bi] indicates that there is a bidirectional edge between nodes ai and bi. Notice that the given graph may be disconnected. Divide the nodes of the graph into m groups (1-indexed) such that: Return the maximum number of groups (i.e., maximum m) into which you can divide the nodes. Return -1 if it is impossible to group the nodes with the given conditions.
Depth-First SearchBreadth-First SearchUnion FindGraph
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Problem Breakdown
Understanding the Divide Nodes Into the Maximum Number of Groups Problem
Let's break down this LeetCode problem and understand what makes it challenging in interview settings.
Problem Statement
You are given a positive integer n representing the number of nodes in an undirected graph. The nodes are labeled from 1 to n. You are also given a 2D integer array edges, where edges[i] = [ai, bi] indicates that there is a bidirectional edge between nodes ai and bi. Notice that the given graph may be disconnected. Divide the nodes of the graph into m groups (1-indexed) such that: Return the maximum number of groups (i.e., maximum m) into which you can divide the nodes. Return -1 if it is impossible to group the nodes with the given conditions.
HardProblem #2493
LeetCodeDivide Nodes Into the Maximum Number of Groups
Related Topics
Depth-First SearchBreadth-First SearchUnion FindGraph
How Phantom Code Helps
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Examples
# Example 1
Input
n = 6, edges = [[1,2],[1,4],[1,5],[2,6],[2,3],[4,6]]
Output
4
# Example 2
Input
n = 3, edges = [[1,2],[2,3],[3,1]]
Output
-1
Constraints
1 <= n <= 500
1 <= edges.length <= 104
edges[i].length == 2
1 <= ai, bi <= n
ai != bi
There is at most one edge between any pair of vertices.
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Solve Divide Nodes Into the Maximum Number of Groups — You are given a positive integer n representing the number of nodes in an undire...
Here's the optimal approach using Depth-First Search:
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 Divide Nodes Into the Maximum Number of Groups and using Phantom Code during coding interviews.
How does Phantom Code help me solve coding problems like Divide Nodes Into the Maximum Number of Groups during interviews?
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.
What if the interviewer asks follow-up questions or modifications to problems like Divide Nodes Into the Maximum Number of Groups?
Phantom Code 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 help me communicate my solution for problems like Divide Nodes Into the Maximum Number of Groups?
Yes. Phantom Code 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 assist with different programming languages for Divide Nodes Into the Maximum Number of Groups type problems?
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.
What coding mistakes does Phantom Code help me avoid during Divide Nodes Into the Maximum Number of Groups interviews?
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.
Is Phantom Code detectable when solving problems like Divide Nodes Into the Maximum Number of Groups during live interviews?
No. Phantom Code 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 help when I'm struggling with Divide Nodes Into the Maximum Number of Groups 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 Divide Nodes Into the Maximum Number of Groups 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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