Insertion In AVL Tree

Duration: 8 min

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Module outline

  1. General Intelligence & Reasoning: Analogy, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Blood Relations, Directions (Direction Test), Ranking, Order and Sequence, Logical Sequence Of Words, Syllogisms, Venn Diagram, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Selection Decision Table (Decision Making), Data Sufficiency, Puzzle Solving (Puzzles), Data Arrangement, Cubes & Dices, Calendar, Clock, Arithmetic, Number System, HCF LCM, Verbal Analogy (Word Based Analogy), Visual Recognition and Figure Completion, Paper Folding and Cutting, Transformation of Shapes, Clocks and Calendars, Direction Sense, Cubes and Dice, Patterns in Two-Dimensional Figures, Seating Arrangements, Analogy and Classification, Logical Deduction and Induction, Alphabet and Word Tests, Mathematical Operations, Series Completion, Simplification and Approximation, Coding and Decoding, Numerical Reasoning, Assembling and Grouping of Shapes, Three-Dimensional Patterns and Visualization, Vocabulary, Number System, Averages, Mixtures and Alligation, Simple and Compound Interest, Percentages, Algebra, Speed, Time and Distance, Seating and Arrangement Puzzles, Traverse Surveying, Order, Ranking and Sequence, Constraint Puzzles, Syllogisms and Venn Diagrams, Reading Comprehension, Critical Reasoning, Permutations and Combinations, Narrative Sequencing, Project Monitoring, Resources and Safety, Profit, Loss and Discount, Ratio and Proportion, Time and Work, Mensuration, Data Interpretation, Powers, Surds and Logarithms, Sequences and Series, Articles and Determiners, Sentence Completion, Data Sufficiency, Blood Relations, Simple Interest and Compound Interest, Mixture and Alligation, Sequence and Series (Series), Speed Time and Distance, Algebra, Profit and Loss, Powers and Exponents (Surds and Indices), Permutation and Combination
  2. General Awareness: Physics, Chemistry, Biology, History, Geography, Polity, Indian Economy, Environment, Static General Knowledge, GK- Current Affairs, Artificial Intelligence, MS Office Applications, Terms & Abbreviations, Keyboard Shortcuts, Evolution of Indian Banking (Banking & Financial Awareness), Emerging Tech Trends
  3. Engineering Mathematics: Set Theory, Relations, Functions, Graph Theory, Group Theory, Propositional and Predicate Logic, Linear Algebra, Calculus, Probability, Statistics, Signal Space and Optimum Detection, Probability, Statistics
  4. Digital Logic: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation, Floating Point Rep, Number Systems and Codes, Registers and Counters, Boolean Algebra and Logic Gates, Microprocessors and Microcontrollers, Logic Families and CMOS Logic, Microprocessors, Logic Gates and Boolean Algebra, Minimization of Boolean Functions, Timing, Hazards and Testing, Logic Families, Combinational Logic Design, Arithmetic Circuits, Waveform Generators and Timer Circuits, Semiconductor Memories and Programmable Logic Devices, Combinational Logic Circuits, Latches and Flip-Flops, Finite State Machines, Sequential Circuits and State Machines, Minimization of Boolean Functions, Arithmetic Circuits, Latches and Flip-Flops, Number Systems and Codes, Registers and Counters
  5. Computer Organisation & Architecture: Basics of COA, Cache Memory Organization, Input Output Organisation, Pipelining, Instr Formats & Modes, Control Unit Design, Programming the Basic Computer, Register Transfer and Microoperations, Semiconductor Memories and Programmable Logic, Processor Organization and Instructions, Memory Hierarchy and Input/Output, Registers and Counters
  6. Programming & Data Structures: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling, Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing, HTML Basics, OOPS with C++, Java, Object Oriented Technology
  7. Databases: 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, Database Recovery, Database Security & Authorization
  8. Algorithms: Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos
  9. 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
  10. 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
  11. Operating System: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, Disc Scheduling, File Management, Security, Windows OS, Distributed Systems, Unix OS, Linux OS
  12. Computer Networks: Introduction to CN, 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, Data Communication, Website, Browser & Services, Web Design & Development, Network Security, Cyber Threats and Malware Attacks, Cyber Safety and Security
  13. Full Length Mock Tests:
  14. Sectional Tests:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

The video features an educational lecture by Sanchit Jain from Knowledge Gate, focusing on the construction of an AVL tree. The instructor presents a specific problem: inserting a sequence of nodes (21, 26, 30, 9, 4, 14, 28, 18, 15, 10, 2, 3, 7) into an initially empty AVL tree. Throughout the lecture, he demonstrates the step-by-step insertion process, highlighting the importance of maintaining the balance property of the tree. He explains how to calculate balance factors and identify imbalances. When an imbalance is detected, he classifies the case (LL, RR, LR, or RL) and performs the necessary single or double rotations to restore balance. The video serves as a practical guide for students to understand AVL tree operations and rotation techniques.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The instructor begins by writing the problem statement on the board, listing the sequence of numbers to be inserted. He starts the insertion process with 21 as the root node. He then inserts 26 to the right of 21, followed by 30 to the right of 26. This creates a Right-Right (RR) imbalance at node 21. He identifies this case and performs a Left Rotation, making 26 the new root with 21 as its left child and 30 as its right child. Next, he inserts 9 to the left of 21 and 4 to the left of 9. This creates a Left-Left (LL) imbalance at node 21. He performs a Right Rotation, making 9 the left child of 26, with 21 as its right child and 4 as its left child. Finally, he inserts 14 to the right of 9, creating a Left-Right (LR) imbalance at node 9. He performs a Left-Right rotation, making 14 the parent of 9 and 21.

  2. 2:00 – 5:00 02:00-05:00

    Continuing the insertion, he adds 28 to the left of 30. This creates a Right-Left (RL) imbalance at node 26. He performs a Right-Left rotation, making 28 the right child of 26 and 30 the right child of 28. He then inserts 18 to the left of 21 and 15 to the left of 18. This creates a Left-Right (LR) imbalance at node 14. He performs a Left-Right rotation, making 18 the parent of 14 and 21. The tree structure is updated accordingly, with 18 becoming the left child of the root 26. The instructor carefully marks the balance factors and rotation types on the board to guide the students through the complex restructuring of the tree.

  3. 5:00 – 7:48 05:00-07:48

    In the final segment, the instructor inserts the remaining nodes: 10, 2, 3, and 7. He inserts 10 to the right of 9, 2 to the left of 4, 3 to the right of 2, and 7 to the right of 4. He checks the balance factors at each step to ensure the AVL property is maintained. No further rotations are required for these insertions as the tree remains balanced. He verifies the final structure of the tree, ensuring all nodes are correctly placed. The video concludes with the instructor summarizing the final tree configuration and the rotations performed throughout the process. He emphasizes the importance of checking balance factors after every insertion to maintain the efficiency of the AVL tree.

The video provides a comprehensive walkthrough of AVL tree construction. It starts with basic insertions and progresses to more complex scenarios requiring rotations. The instructor clearly explains the logic behind identifying imbalances and the specific rotations needed to fix them. By following the step-by-step process, students can learn how to maintain the balance property of an AVL tree. The visual aids on the board help in understanding the structural changes. The final tree is a balanced binary search tree, demonstrating the effectiveness of AVL tree operations.

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