Divide Nodes Into the Maximum Number of Groups | Super Detailed | Leetcode 2493 | codestorywithMIK
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Hi Everyone, this is the 67th video of our Playlist "Graphs : Popular Interview Problems".
Now we will be solving a good practice problem on Graph for DFS, BFS and Bipartite - Divide Nodes Into the Maximum Number of Groups | Super Detailed Easy | Leetcode 2493 | codestorywithMIK
We will discuss a detailed explanation.
I have already taught Bipartite Graph :
Bipartite Check using DFS - • Is Graph Bipartite ? | DFS | Graph Co...
Bipartite Check using BFS - • Is Graph Bipartite ? | BFS | Graph Co...
Problem Name : Divide Nodes Into the Maximum Number of Groups | Super Detailed Easy | Leetcode 2493 | codestorywithMIK
Company Tags : wil update later
My solutions on Github(C++ & JAVA) - https://github.com/MAZHARMIK/Interview_DS_Algo/blob/master/Graph/Divide Nodes Into the Maximum Number of Groups.cpp
Leetcode Link : https://leetcode.com/problems/divide-nodes-into-the-maximum-number-of-groups
My DP Concepts Playlist : • Roadmap for DP | How to Start DP ? | ...
My Graph Concepts Playlist : • Graph Concepts & Qns - 1 : Graph will...
My Segment Tree Concepts Playlist : • Segment Tree | Introduction | Basics ...
My Recursion Concepts Playlist : • Introduction | Recursion Concepts And...
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Video Summary :
1️ ⃣ Approach-1 (Bipartite Check using DFS)
Treat the graph as a bipartite structure and attempt to color it with two colors (Red and Green).
Start from an unvisited node and color it with one color.
Using DFS, try to color all its neighbors with the opposite color.
If any neighbor has the same color as the current node, the graph is not bipartite, and we return -1.
If the entire graph is bipartite, proceed to the next step.
2️ ⃣ Approach-2 (Level Calculation using BFS)
Perform a BFS starting from each unvisited node to calculate the "level" or depth of each connected component. For each node, visit its neighbors and increment the level.
This helps determine the maximum depth or the maximum number of groups in the component.
Keep track of the levels for each component to use them in the next step.
3️ ⃣ Approach-3 (Aggregate Max Groups from Components)
Once the BFS is done for all nodes, sum the maximum levels (group sizes) from all connected components.
For each unvisited node, calculate the maximum level in its connected component and accumulate the results. The sum of these values gives the final answer, i.e., the maximum number of magnificent sets in the graph.
00:00 - Introduction
00:24 - Motivation
00:52 - Problem Explanation
06:16 - Thought Process
10:18 - Why Bipartite Check
19:24 - Prerequisite Videos Bipartite Check
21:51 - Disconnected Components
25:45 - Max groups for each component
37:25 - Important Example
41:59 - Coding it up
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