Gate 2010

Duration: 3 min

This video lesson is available to enrolled students.

Return to /learn/COCUBES-PREPARATION/data-structures/hashing/open-addressing-probing/asset-gate-2010-4815 after enrolling

Inside: a video lesson and guided study material.

Module outline

  1. Quantitative Aptitude: Number System, Divisibility Rules, HCF LCM, Percentage, Ratio and Proportion (Ratios), Average, Profit and Loss, Simple Interest and Compound Interest, Mixture and Alligation, Partnership, Age Problems, Time and Work, Pipe and Cistern, Speed Time and Distance, Algebra, Arithmetic, Data Interpretation, Sequence and Series (Series), Logarithm, Powers and Exponents (Surds and Indices), Permutation and Combination, Probability, Speed Mathematics and Basic Mathematics, Trigonometry
  2. Logical Reasoning: Coding Decoding, Blood Relations, Directions (Direction Test), Ranking, Order and Sequence, Seating Arrangements, Puzzle Solving (Puzzles), Data Arrangement, Syllogisms, Inequality, Data Sufficiency, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Series (Number and Letter Series) (Numerical Relations and Reasoning), Venn Diagram, Logical Sequence Of Words, Calendar, Clock, Cubes & Dices, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning)
  3. Verbal Ability: Noun, Pronoun, Adjectives, Verb, Adverb, Tenses, Subject Verb Agreement (Verb Noun Agreement), Articles, Preposition, Conjunction, Modals, Determiner, Vocabulary, Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Cloze Test (Cloze Passage), Sentence Correction (Error Correction), Sentence Completion (Fill in the blanks), Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Active Passive Voice (Voice), Direct and Indirect Speech, Sentence Construction
  4. Data Structures (Domain Test): Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing
  5. Algorithms (Domain Test): Algorithm Analysis, Sorting Algorithms, Time Complexity Analysis, Greedy Algorithms
  6. OOPs (Domain Test): Object Oriented Programming (OOPS)
  7. DBMS (Domain Test): Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, File Organization & Indexing, Relational Algebra, Relational Calculus, Transaction Management, Concurrency Control, Database Recovery, ORDBMS, Database Security & Authorization, Query Processing & Optimization, Enhanced Data Models, Data Warehousing & Mining, Big Data Systems, NoSQL
  8. SQL (Domain Test): SQL
  9. Operating Systems (Domain Test): Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Deadlock, Threads & Process Creation, Memory Management, Virtual Memory, Disc Scheduling, File Management, Windows OS, Linux OS, Security, Distributed Systems, Virtual Machines
  10. Computer Networks (Domain Test): 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, Network Security, Mobile Technology, Cloud Computing and IoT, Cyber and Info Security
  11. Coding: Coding Questions by Yash Sir, C Programming by Yash Sir, Programming in C++, Java, Python for Placements by Yash Sir
  12. Written English Test: English Writing Ability
  13. Psychometric Test: Behavioral Assessment (Behavioral Competency Profiling) (Psychometric 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…