Practice Question-1 (Chaining)

Duration: 3 min

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Module outline

  1. About Course: About the Course
  2. CS | 01 | Digital Logic and Circuits and Discrete Mathematical Structures: Digital Systems & Boolean Basics, Number System, Number Representation, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Set Theory, Relations, Functions, Graph Theory, Group Theory, Propositional and Predicate Logic, Permutation and Combination
  3. CS | 02 | Computer Organization and Architecture: Basics of COA, Cache Memory Organization, Input Output Organisation, Pipelining, Instr Formats & Modes, Control Unit Design, Multiprocessors
  4. CS | 03 | Data Structures and Algorithm: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing, Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos, Complexity Theory, Advanced Algorithms
  5. CS | 04 | Problem Solving through C Programming: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  6. CS | 05 | Object Oriented Techniques: Object Oriented Technology, Java
  7. CS | 06 | Operating System: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, Disc Scheduling, File Management, Windows OS, Unix OS
  8. CS | 07 | Database Management Systems: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, Relational Algebra, SQL, Relational Calculus, Transaction Management, Concurrency Control, Database Recovery, Database Security & Authorization, Query Processing & Optimization, File Organization & Indexing
  9. CS | 08 | Computer Networks: Introduction to CN, Data Communication, DLL: Access Control, DLL: Flow Control, DLL: Error Control, DLL: Framing, Data Link Layer - Ethernet, Net Layer: IPv4 & Proto, Net Layer: IP Addressing, Net Layer:Routing Protocol, Transport Layer Services, TL: Congestion & UDP, Application Layer, Hardware basics
  10. CS | 09 | Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  11. CS | 10 | Internet Technology, Web Design and Web Technology: Internet Fundamentals, Web Design & Development, Protocols & Services, Web Publishing & Hosting, Server Side & Security, Emerging Technologies, JavaScript-Basics, HTML Basics
  12. CS | 11 | System Analysis And Design: Fundamentals of Systems and Information Systems, SDLC and Development Approaches, Software Documentation and Software Requirements Specification (SRS), SDD and Quality Assurance, Security, Risk Management & Maintenance
  13. CS | 12 | Information Security and Cyber Laws: Cyber Threats and Malware Attacks, Role of Internet and Web Services, Security in Mobile and Wireless Computing, Electronic Data Interchange and E-Commerce, Physical Security and Cryptography Basics, Intrusion Detection Systems (IDS), Cyber Safety and Security
  14. CS | 13 | Computer Graphics: Basics of Computer Graphics, 2-D Geometrical Transforms and Viewing, 3-D Object Representation, Geometric Transformations and Viewing
  15. GS Paper | 01 | Indian and World Geography: Geography
  16. GS Paper | 02 | History: History
  17. GS Paper | 03 | Indian Economy & Social Development: Indian Economy
  18. GS Paper | 04 | General Science: Biology, Chemistry, Physics
  19. GS Paper | 05 | Elementary Maths: Number System, Divisibility Rules, HCF LCM, Percentage, Profit and Loss, Simple Interest and Compound Interest, Ratio and Proportion (Ratios), Average, Time and Work, Speed Time and Distance, Algebra, Mensuration and Geometry, Data Interpretation, Arithmetic, Statistics, Probability, Sequence and Series (Series), Mixture and Alligation, Calculus, Trigonometry, Vectors
  20. GS Paper | 06 | Indian Polity and Governance: Polity
  21. GS Paper | 07 | Current Events: GK- Current Affairs
  22. UPLT Live Classes Notes: UPLT Live Classes
  23. UPLT Full Mock Tests Tier 1:
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AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This lecture segment addresses a GATE 2014 Computer Science problem concerning hash tables and collision resolution. The instructor presents a scenario involving a hash table with 9 slots, indexed from 0 to 8. The core task requires applying the hash function h(k) = k mod 9 to a specific sequence of keys: 5, 28, 19, 15, 20, 33, 12, 17, and 10. The problem specifies that collisions are resolved using the chaining method. Students must determine the maximum, minimum, and average chain lengths resulting from these insertions.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The instructor introduces the problem statement displayed on screen, defining a hash table with 9 slots and the modulo 9 hash function. He lists the nine keys to be inserted in order: 5, 28, 19, 15, 20, 33, 12, 17, and 10. The visual setup establishes the initial state of the table before any insertions occur, highlighting that collisions will be handled via chaining. The instructor begins demonstrating the sequential insertion process, starting with key 5 mapping to slot 5 and subsequent keys like 28 and 19 colliding at index 1, visually constructing the linked lists within the table structure.

  2. 2:00 – 2:48 02:00-02:48

    The instructor completes the insertion of all keys, showing the final configuration where slot 6 contains a chain of length 2 (keys 15 and 33) and slot 1 contains a chain of length 2 (keys 28 and 19). He calculates the specific chain lengths for all slots: slot 0 is empty (length 0), slot 1 has length 2, slot 2 has length 1, slot 3 has length 1, slot 4 is empty (length 0), slot 5 has length 1, slot 6 has length 2, slot 7 is empty (length 0), and slot 8 has length 1. The instructor then computes the maximum chain length as 2, minimum as 0, and average by summing lengths to 9 and dividing by 9 slots, yielding an average of 1. He evaluates the multiple-choice options (A) through (D) to select the correct answer based on these calculated values.

The lecture demonstrates a practical application of hash table theory using chaining for collision resolution. The key takeaway is the systematic calculation of chain lengths after inserting a fixed set of keys using a modulo hash function. The problem requires careful tracking of each key's index to identify collisions and build the correct linked lists. By summing the lengths of all chains (which equals the total number of keys, 9) and dividing by the table size (9), the average chain length is derived as 1. The maximum and minimum values are determined by inspecting the populated slots versus empty ones, specifically identifying that slot 0 and others remain empty while specific indices accumulate multiple keys.

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