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LeetCode 1267 | Count Servers that Communicate | Java | Medium | Frequency Array Scan | CodeByTushu

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LeetCode 1267 | Count Servers that Communicate | Java | Medium | Frequency Array Scan | CodeByTushu

Description: πŸš€ Welcome Back to CodeByTushu!

In today’s video, we solve LeetCode 1267 β€” Count Servers that Communicate using Array, Frequency Counting and Matrix Traversal in Java.

In this problem, we are given an m-by-n integer grid representing a computer network center where 1 indicates an active server and 0 indicates an empty slot. Two servers can communicate with each other if and only if they share the exact same row or the exact same column. Our objective is to determine and return the total count of servers that are able to communicate with at least one other server in the cluster.

We implement an optimal two-pass matrix projection algorithm. In the first pass, we project the 2D server distribution onto two 1D frequency arrays, tracking the total server count for each row and column in linear time. In the second pass, we inspect every active server: if its row server count is greater than 1 or its column server count is greater than 1, it communicates with another server and increments our answer. This achieves an optimal O(M * N) time complexity and O(M + N) auxiliary space without modifying the input grid.

πŸ”₯ Problem Highlights

βœ… 1D projection principle: compress 2D grid coordinates into row and column server frequency counts
βœ… Two-pass linear matrix traversal ensuring clean separation of counting and qualification
βœ… Communication qualification condition: active server connects if row count is greater than 1 or col count is greater than 1
βœ… Eliminates redundant pairwise search across rows and columns
βœ… Non-destructive design keeping original grid completely intact
βœ… Optimal O(M * N) runtime with minimal O(M + N) auxiliary memory

⏱️ TIMESTAMPS

00:00 Intro & Day 106 Streak Celebration
00:30 Problem Understanding & Matrix Rules
01:13 Key Insight: 1D Row & Column Projections
02:07 Two-Pass Linear Matrix Scan Strategy
03:18 Optimal Java 17 Solution Walkthrough Line by Line
05:20 Test Cases Walkthrough & Day 106 Streak Celebration
05:52 Time Complexity Analysis (O(M * N))
06:33 Space Complexity Analysis (O(M + N))
07:09 Summary & Outro!

πŸ“‚ Problem Folder & Detailed Documentation:
https://github.com/CodeByTushu/CodeByTushu-LeetCode-Solutions/tree/main/solutions/November/08-November/1267-Count-Servers-that-Communicate

β˜• Java Solution:
https://github.com/CodeByTushu/CodeByTushu-LeetCode-Solutions/blob/main/solutions/November/08-November/1267-Count-Servers-that-Communicate/Solution.java

🐍 Python Solution:
https://github.com/CodeByTushu/CodeByTushu-LeetCode-Solutions/blob/main/solutions/November/08-November/1267-Count-Servers-that-Communicate/solution.py

⚑ C++ Solution:
https://github.com/CodeByTushu/CodeByTushu-LeetCode-Solutions/blob/main/solutions/November/08-November/1267-Count-Servers-that-Communicate/solution.cpp

🌐 JavaScript Solution:
https://github.com/CodeByTushu/CodeByTushu-LeetCode-Solutions/blob/main/solutions/November/08-November/1267-Count-Servers-that-Communicate/solution.js

πŸ”— LeetCode Source Code

πŸ“Œ https://codebytushu.com/leetcode/problem/count-servers-that-communicate

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πŸ’¬ Question of the Day

When does an active server at cell (i, j) qualify as communicating with other servers?

1️⃣ Only when another server is directly adjacent (up, down, left, right)
2️⃣ When rowCount[i] is greater than 1 or colCount[j] is greater than 1
3️⃣ Only when rowCount[i] and colCount[j] are both greater than 1 simultaneously
4️⃣ When total servers in the entire grid is greater than or equal to 2

#LeetCode1267 #LeetCode #CountServersThatCommunicate #Java #JavaDSA #Array #Matrix #Counting #DSA #CodingInterview #ProblemSolving #LeetCodeMedium #DailyLeetCode #JavaProgramming #CodeByTushu

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