Gate 2010

Duration: 3 min

This video lesson is available to enrolled students.

Return to /learn/BTSC-LAB-ASSISTANT/data-structures/hashing/open-addressing-probing/asset-gate-2010-4815 after enrolling

Inside: a video lesson and guided study material.

Module outline

  1. About Course: BTSC About Course
  2. Basics of Computer Science: Basics of COA, Number System, Number Representation
  3. Operating System: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory
  4. Data Structures & Algorithms: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing, Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms
  5. Database Management Systems(DBMS): Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Relational Algebra, SQL, Transaction Management, Concurrency Control, Database Recovery
  6. Networking and Internet: Introduction to CN, Data Communication, Net Layer: IPv4 & Proto, Net Layer: IP Addressing, Application Layer, Hardware Basics, Network Access Technologies, Network Security
  7. Cyber Security Basics: Cyber Threats and Malware Attacks, Role of Internet and Web Services, Electronic Data Interchange and E-Commerce, Cyber Safety and Security
  8. C Programming (Programming Fundamentals): C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  9. C++, OOPs & Java (Programming Fundamentals): Java, OOPS with C++
  10. Python (Programming Fundamentals): Introduction to Python, Tokens, Variables, Data Types, I/O, Operators & Expressions, Control Flow & Looping, Collections & Strings, Functions & Modules
  11. Web Development Basics: Internet Fundamentals, Web Design & Development, Protocols & Services, Web Publishing & Hosting, Server Side & Security, Emerging Technologies, JavaScript-Basics, HTML Basics
  12. Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing
  13. Software and Hardware Tools: MS Office Applications, Unix OS, Linux OS
  14. Emerging Trends. AI & Social Ethics: Artificial Intelligence, Emerging Tech Trends, Society, Law & Ethics
  15. Full Mock Test:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

The video presents a solution to a GATE 2010 computer science problem involving hash tables. The problem specifies a hash table of length 10 using open addressing with linear probing and the hash function h(k) = k mod 10. The goal is to determine the insertion order of six keys given the final table state. The instructor begins by listing the provided options and analyzing the hash values for each key present in the table: 42, 23, 34, 52, 46, and 33. He calculates their initial positions: 42 and 52 map to index 2, 23 and 33 map to index 3, 34 maps to index 4, and 46 maps to index 6. He observes that 52 and 33 are displaced from their primary hash positions because indices 2 and 3 are occupied by 42 and 23 respectively. This observation is crucial for eliminating incorrect options.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The instructor reads the problem statement and displays the hash table with values at indices 2, 3, 4, 5, 6, and 7. He writes down the hash function h(k) = k mod 10 and calculates the primary hash index for each key: 42->2, 23->3, 34->4, 52->2, 46->6, 33->3. He notes that 52 and 33 must have probed further because their target slots were occupied. He starts evaluating the options, specifically looking at the order of insertion to see if it results in the observed displacements. He marks option (A) as incorrect because inserting 52 before 23 would place 52 at index 3, contradicting the table.

  2. 2:00 – 2:51 02:00-02:51

    The instructor focuses on verifying option (C): 46, 34, 42, 23, 52, 33. He simulates the insertion process step-by-step. First, 46 goes to index 6. Then 34 goes to index 4. Next, 42 goes to index 2. Then 23 goes to index 3. When 52 is inserted, it hashes to 2 (occupied by 42), probes 3 (occupied by 23), probes 4 (occupied by 34), and lands at index 5. Finally, 33 hashes to 3 (occupied by 23), probes 4, 5, 6 (occupied by 46), and lands at index 7. This sequence perfectly matches the final table configuration shown in the problem. He concludes that option (C) is the correct answer.

The lesson effectively teaches how to validate insertion sequences in hash tables with linear probing. By calculating initial hash positions and simulating the probing sequence for each candidate option, one can determine the valid order. The key takeaway is that displaced elements must find the first available slot after their primary hash index, skipping over previously inserted elements.

Loading lesson…