AVL TREE Practice Questions

Duration: 3 min

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Inside: a video lesson and guided study material.

Module outline

  1. About Course: About the Course
  2. Paper 1 | General Studies: State Wise GK
  3. Paper 1 | Information and Communication Technology: Role of Internet and Web Services, Security in Mobile and Wireless Computing
  4. Paper 1 | Current Affairs: GK- Current Affairs
  5. Paper 2 | Discrete Mathematical Structure: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Set Theory, Relations, Functions, Graph Theory, Group Theory, Propositional and Predicate Logic, Probability
  6. Paper 2 | Digital Computer Organization And Architecture: Number System, Number Representation, Sequential Circuits, Combinational Circuit, Basics of COA, Floating Point Rep, Cache Memory Organization, Input Output Organisation, Pipelining, Instr Formats & Modes, Register Transfer and Microoperations, Control Unit Design, Programming the Basic Computer
  7. Paper 2 | C Programming: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  8. Paper 2 | Programming Languages & Object-Oriented Programming Concepts: Java, OOPS with C++, Java Fundamentals, Array, String, IO & References
  9. Paper 2 | Python: Introduction to Python, Tokens, Variables, Data Types, I/O, Operators & Expressions, Control Flow & Looping, Collections & Strings, Functions & Modules, File Handling & Data Analysis
  10. Paper 2 | Data Structure And Algorithms: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing, Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Minimum Spanning Trees, Advanced Algorithms
  11. Paper 2 | Operating System: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Deadlock, Threads & Process Creation, Memory Management, Virtual Memory, Disc Scheduling, File Management, Unix OS
  12. Paper 2 | Theory Of Computation: Introduction to TOC, Deterministic FA (DFA), Non-Deterministic FA, Regular Expressions, Grammar, Regular Language Properties, Moore & Mealy Machines, Pushdown Automata & CFG, Turing Machines, Complexity Theory
  13. Paper 2 | Compiler Design: Intro to Compilers, Lexical Analysis, Grammar & CFG, Syntax Analysis: Top-Down, Syntax Analysis: Bottom-Up, Semantic Analysis & SDT, Intermediate Code Gen, Code Optimization, Run Time Environment
  14. Paper 2 | Database Management System: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, Relational Algebra, SQL, Transaction Management, Concurrency Control, Database Recovery, Database Security & Authorization, Enhanced Data Models
  15. Paper 2 | Computer Network And Information Security: Introduction to CN, Data Communication, Application Layer, Hardware basics, Cyber Threats and Malware Attacks, Network Security, 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
  16. Paper 2 | Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  17. Paper 2 | Current Trends & Technologies: Emerging Tech Trends, Approaches to AI, Search Algorithms, Game Playing, Knowledge Representation, Planning, Multi Agent Systems, Fuzzy Sets, Natural Language Processing, Artificial Neural Networks, Genetic Algorithms, Artificial Intelligence, Data Warehousing & Mining, Electronic Data Interchange and E-Commerce, Terms & Abbreviations
  18. Paper 2 | Full Length Mock Tests:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

The video lecture focuses on constructing and modifying AVL trees through insertion and deletion operations. The instructor begins by presenting a problem requiring the insertion of a specific sequence of keys (A, Z, B, Y, C, X, D, W, V, U, T) to build an AVL tree. He meticulously draws the tree on a digital whiteboard, applying necessary rotations (LL, RR, LR, RL) to maintain the balance factor property at each step. After completing the insertion phase, he identifies the root of the resulting tree from multiple-choice options. The second part of the lecture transitions to deletion operations. Using the previously constructed tree, the instructor demonstrates the removal of specific nodes (A, Z, B, Y, C) and explains how the tree rebalances itself after each deletion. He concludes by identifying the new root of the modified tree, reinforcing the dynamic nature of AVL tree maintenance.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The instructor introduces a problem asking to insert keys A, Z, B, Y, C, X, D, W, V, U, T in order to build an AVL tree. He starts drawing the tree structure, beginning with A as the root. As he inserts subsequent keys like Z, B, and Y, he draws the nodes and edges in red ink. He encounters imbalance and performs rotations, specifically noting an LL rotation. The diagram evolves into a complex structure with nodes like C, E, D, F, X, Z. He evaluates the final tree structure against the options provided on screen: a) C, b) D, c) E, d) V. He concludes that the root of the resultant tree is E, marking option (c) as the correct answer.

  2. 2:00 – 3:17 02:00-03:17

    The lecture shifts to a deletion problem based on the previously built tree. The question asks for the new root if keys A, Z, B, Y, C are deleted. The instructor crosses out the nodes A, Z, B, Y, and C on his diagram. He then redraws the remaining structure, showing how the tree reorganizes. A slide titled 'Deletion in an AVL tree' appears, displaying a flowchart with cases like L, R, L0, L1, R0, R1, RR, RL, LL, LR. He continues to manipulate the tree diagram, showing the removal of nodes and the resulting connections. Finally, he identifies the new root as V, marking option (d) as the correct answer.

The video provides a practical demonstration of AVL tree mechanics. It starts with the construction phase, emphasizing the importance of rotations during insertion to maintain balance. It then transitions to the deletion phase, showing that the tree must be re-balanced even after removing nodes. The instructor uses visual aids and step-by-step drawing to clarify complex balancing operations like LL, RR, and rotations, ensuring students understand how the root can change dynamically.

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