Graph-4: Count Servers That Communicate| Leetcode 1267 | Grid-Based Problem Explained

🌟 Solve the 'Count Servers That Communicate' Problem with an Efficient Solution! 🌟

In this video, we tackle the "Count Servers That Communicate" problem, a grid-based coding challenge that helps you practice using hash maps and nested loops to analyze row and column dependencies. Perfect for honing your problem-solving skills for coding interviews!

What You’ll Learn:
✅ How to traverse a grid to count elements in rows and columns.
✅ Using hash maps to efficiently store and process row and column counts.
✅ Logical reasoning to identify and count communicating servers.
✅ Time and space complexity analysis for optimized solutions.

Problem Overview:
You are given a 2D grid where 1 represents a server and 0 represents an empty cell. Two servers can communicate if they are in the same row or same column. Your task is to count the number of servers that can communicate with at least one other server.

📌 Applications:
1️⃣ Data Center Management: Optimizing server placement for better communication and load balancing.
2️⃣ Network Analysis: Identifying connected nodes in a grid-like network structure.
3️⃣ Cluster Computation: Analyzing distributed systems to maximize communication efficiency.

Solution Overview:

Step 1: Traverse the grid to count the number of servers in each row and column using hash maps (row_count and col_count).
Step 2: Iterate through the grid again to check if a server can communicate with another by verifying the row or column counts.
Step 3: Increment the count for each server that meets the communication condition.
Time Complexity:

O(M x N), where M is the number of rows and N is the number of columns.
Space Complexity:

O(M + N) for the row and column count hash maps.
👉 Try the Problem Yourself:
Why This Tutorial?
The 'Count Servers That Communicate' problem is an excellent way to practice grid traversal and learn how to solve dependency-based problems efficiently. By the end of this tutorial, you’ll be confident in solving similar problems using hash maps and logical reasoning.

💡 Engage with Us:
Have questions or alternative solutions? Drop your thoughts in the comments! Let’s discuss and learn together.

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Tags:
#GridAlgorithm, #CountServersThatCommunicate, #HashMap, #GridTraversal, #DataCenterManagement, #NetworkAnalysis, #ClusterComputation, #CodingInterview, #Algorithms, #ProgrammingTutorial, #TechInterviews, #PythonProgramming, #CodingChallenge, #Optimization