AVL TREE Practice Questions

Duration: 2 min

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Module outline

  1. Discrete Mathematics: Permutation, Combination and Probability / क्रमचय, संचय एवं प्रायिकता, Set Theory, Relations, Functions, Propositional and Predicate Logic, Graph Theory, Group Theory
  2. Digital Logic: Digital Systems & Boolean Basics, Boolean Expression, Boolean Minimization, Logic Gates & Hardware, Combinational Circuit, Sequential Circuits, Number System, Number Representation, Floating Point Rep
  3. Computer Organization and Architecture: Basics of COA, Programming the Basic Computer, Cache Memory Organization, Input Output Organisation, Instr Formats & Modes, Register Transfer and Microoperations, Control Unit Design, Pipelining, Multiprocessors
  4. Programming: Language Design, C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling, OOPS with C++
  5. Data Structures: Introduction to DS, Array, Linked List, Stack, Queue, Tree, Graphs, Hashing
  6. Algorithms: Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos, Advanced Algorithms
  7. Theory of Computation: Grammar, Regular Language Properties, Moore & Mealy Machines, Turing Machines
  8. 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, Introduction to TOC, Deterministic FA (DFA), Non-Deterministic FA, Regular Expressions, Pushdown Automata & CFG, Complexity Theory
  9. Operating Systems: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, Disc Scheduling, File Management, Unix OS, Linux OS, Security
  10. Database Management Systems: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, File Organization & Indexing, Relational Algebra, SQL, Relational Calculus, Transaction Management, Concurrency Control, ORDBMS, NoSQL
  11. 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, Network Security
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video segment focuses on solving a specific practice problem involving AVL tree construction. The instructor demonstrates how to build an AVL tree from the sequence 70, 60, 80, 50, 65, and 68 while maintaining the balance factor property. The core objective is to determine the number of leaf nodes in the final balanced tree structure.

Chapters

  1. 0:00 – 1:50 00:00-01:50

    The instructor addresses the question 'Create an AVL tree with 70, 60, 80, 50, 65 and 68 how many leaves are there in the resultant tree?' displayed on screen. The process involves inserting nodes sequentially, crossing out numbers as they are added to the structure. Key visible events include drawing a partial tree with 70 as root, 60 and 80 as children, and further insertion of 50 under 60. The instructor performs necessary rotations (indicated by 'L' and 'R') to maintain AVL balance. Three hand-drawn tree diagrams illustrate the construction stages, culminating in a final structure where the instructor counts and marks option (b) 3 as the correct answer for the number of leaf nodes.

The video provides a focused walkthrough of AVL tree balancing mechanics using a concrete numerical example. The teaching flow moves from problem identification to step-by-step insertion, highlighting the necessity of rotations when balance factors are violated. The final conclusion relies on correctly identifying leaf nodes in the resulting balanced binary search tree, reinforcing that insertion order and balancing operations directly impact the final topology.

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