Insertion In AVL Tree

Duration: 8 min

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  1. About the course: About the Course
  2. Mathematical Aptitude: संख्या पद्धति / Number System, महत्तम समापवर्तक और लघुत्तम समापवर्त्य / HCF and LCM, Divisibility Rules, प्रतिशत / Percentage, अनुपात और समानुपात / Ratio and Proportion, औसत / Average, लाभ, हानि और बट्टा / Profit, Loss and Discount, समय और कार्य / Time and Work, घन क्षेत्रमिति / Solid Mensuration, साधारण और चक्रवृद्धि ब्याज / Simple and Compound Interest, समय, चाल और दूरी / Time, Speed and Distance, Age Problems, मिश्रण और एलिगेशन / Mixture and Alligation, Algebra, सरलीकरण, घातांक और करणी / Simplification, Indices and Surds, Pipe and Cistern, Trigonometry, Statistics, आँकड़ा निर्वचन / Data Interpretation, Arithmetic, समुच्चय, संबंध, फलन और विविक्त गणित / Sets, Relations, Functions and Discrete Mathematics, संख्या पद्धति और संख्या सिद्धांत / Number Systems and Number Theory, निर्देशांक ज्यामिति, सदिश और त्रिविमीय ज्यामिति / Coordinate Geometry, Vectors and 3D Geometry, बहुपद, समीकरण और सम्मिश्र संख्याएँ / Polynomials, Equations and Complex Numbers
  3. Logical Reasoning: श्रेणी / Series, कूट लेखन एवं कूट वाचन / Coding-Decoding, सादृश्यता एवं वर्गीकरण / Analogy and Classification, रक्त संबंध / Blood Relations, दिशा एवं दूरी / Direction and Distance, क्रम एवं रैंकिंग / Order and Ranking, अशाब्दिक तर्क / Non-Verbal Reasoning, बैठक व्यवस्था एवं पहेलियाँ / Seating Arrangement and Puzzles, Syllogisms, वेन आरेख, न्याय वाक्य एवं असमानता / Venn Diagrams, Syllogism and Inequalities, गणितीय संक्रियाएँ एवं लुप्त संख्या / Mathematical Operations and Missing Numbers, वर्णमाला एवं संख्या परीक्षण / Alphabet and Number Test, कथन आधारित तार्किक विवेचन / Statement-Based Reasoning, Analytical Reasoning (Counting Figures Reasoning), घन, पासा एवं आकृतियों की गिनती / Cubes, Dice and Figure Counting, कैलेंडर एवं घड़ी / Calendar and Clock, Clock
  4. General Knowledge: वैज्ञानिक उपलब्धियाँ और अनुसंधान / Scientific Achievements and Research, Chemistry, Biology, History, Geography, Polity, Indian Economy, समसामयिकी / Current Affairs, Static General Knowledge, राज्य विशेष सामान्य ज्ञान / State-Specific General Knowledge
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  6. Environmental Science: Environment
  7. Unit 1 | Digital Electronics: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation
  8. Unit 2 | COA: Basics of COA, Floating Point Rep, Cache Memory Organization, Input Output Organisation, Instr Formats & Modes, Control Unit Design, Register Transfer and Microoperations, Programming the Basic Computer
  9. Unit 3 | C Programming: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  10. Unit 3 | Data Structures: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing
  11. Unit 4 | Algorithms: Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos, Advanced Algorithms
  12. Unit 5 | Operating System: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, Disc Scheduling, File Management
  13. Unit 6 | Database Management System: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, File Organization & Indexing, Relational Algebra, SQL, Transaction Management, Concurrency Control
  14. Unit 7 | 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
  15. Unit 8 | Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  16. Unit 9 | Object Oriented Programming: OOPS with C++
  17. Unit 10 | Web Development: HTML Basics, CSS, JavaScript-Basics, XML, Node.js, Git & Github, PHP
  18. Unit 11 | 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
  19. Unit 12 | IoT: Emerging Tech Trends, Cloud Computing, कंप्यूटर नेटवर्क / Computer Networks
  20. Unit 13 | Artificial Intelligence: Approaches to AI, Search Algorithms, Game Playing, Knowledge Representation, Natural Language Processing, Artificial Neural Networks, Genetic Algorithms
  21. Unit 14 | E-Commerce: Electronic Data Interchange and E-Commerce, Role of Internet and Web Services, Security in Mobile and Wireless Computing, Physical Security and Cryptography Basics, Cyber Safety and Security
  22. Unit 15 | Multimedia: Multimedia
  23. Unit 16 | Python: Introduction to Python, Tokens, Variables, Data Types, I/O, Operators & Expressions, Control Flow & Looping, Collections & Strings, Functions & Modules, File Handling & Data Analysis, DSA using Python
  24. Full Length Mock Tests — General Paper:
  25. Full Length Mock Tests — Computer Science (Paper II):
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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