Insertion in Binary Search Tree

Duration: 2 min

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Module outline

  1. Quantitative Aptitude: Ratio and Proportion (Ratios), Data Interpretation, Mixture and Alligation, Permutation and Combination, Number System, Sequence and Series (Series), Speed Time and Distance, Speed Mathematics and Basic Mathematics, Algebra, Percentage, Profit and Loss, Simple Interest and Compound Interest, Powers and Exponents (Surds and Indices), Time and Work, Mensuration and Geometry, Partnership
  2. Reasoning Ability: Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Data Sufficiency, Seating Arrangements, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Directions (Direction Test), Ranking, Order and Sequence, Syllogisms, Blood Relations, Puzzle Solving (Puzzles), Inequality, Machine Input-Output
  3. English Language: Vocabulary, Noun, Subject Verb Agreement (Verb Noun Agreement), Adjectives, Tenses, 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), Sentence Construction, Pronoun, Preposition, Conjunction, Adverb, Verb, Modals, Articles, Determiner, Interjection
  4. General Awareness: Evolution of Indian Banking (Banking & Financial Awareness), GK- Current Affairs, Static General Knowledge, Indian Economy
  5. C Concepts + MCQs (IT Specialist): C Programming by Yash Sir, C Language Core
  6. Java (IT Specialist): Java
  7. Python (IT Specialist): Python for Placements by Yash Sir, Python Basics
  8. OOPs (IT Specialist): Object Oriented Programming (OOPS)
  9. DBMS (IT Specialist): 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
  10. SQL (IT Specialist): SQL
  11. Software Engineering (IT Specialist): Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  12. Data Structure (IT Specialist): Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing
  13. Operating System (IT Specialist): 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
  14. Compiler Design (IT Specialist): 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
  15. Computer Architecture (IT Specialist): Basics of COA, Floating Point Rep, Cache Memory Organization, Input Output Organisation, Pipelining, Instr Formats & Modes, Control Unit Design, Register Transfer and Microoperations, Multiprocessors, Programming the Basic Computer
  16. Data Communication & Networking (IT Specialist): 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
  17. Descriptive Test (Main Exam): English Writing Ability
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

The video lecture provides a concise overview of Binary Search Tree (BST) operations, focusing heavily on the insertion mechanism. It opens with a definition slide outlining the three main operations: insertion, deletion, and lookup. The content is a detailed walkthrough of a GATE 2015 problem involving tree construction. The instructor methodically constructs a BST by inserting a specific sequence of integers: 71, 65, 84, 69, 67, and 83. He explains the logic behind each placement clearly. The problem requires identifying the element residing at the lowest level. By visually drawing the tree node by node, the instructor clarifies how the sequence of insertion dictates the final shape and depth of the tree, leading to the correct identification of the deepest node.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video begins with a slide titled "Operations," listing the three primary functions: insertion, deletion, and lookup. The instructor introduces a GATE 2015 problem, asking to determine the element at the lowest level after inserting 71, 65, 84, 69, 67, and 83 into an initially empty BST. He starts the construction process by placing 71 as the root node. Following the BST property, he inserts 65 as the left child of 71 and 84 as the right child. The process continues with 69 being placed as the right child of 65. Subsequently, 67 is inserted as the left child of 69. Finally, 83 is added as the left child of 84. Throughout this process, the instructor draws the tree structure on the screen, visually demonstrating the hierarchical relationships and node placement.

  2. 2:00 – 2:22 02:00-02:22

    In the final segment, the instructor completes the analysis. He examines the levels of the tree to identify the deepest node. The tree has 71 at the root, 65 and 84 at the first level, 69 and 83 at the second level, and 67 at the third level. He points out that 67 is the only element at the lowest level (level 3) of the tree. Consequently, he circles option (B) 67 on the slide, confirming it as the correct answer to the GATE question. The video concludes with the final tree diagram and the selected option clearly displayed for the students.

The lecture transitions from theoretical definitions to practical problem-solving. Defining core operations first establishes the necessary rules. The step-by-step drawing reinforces the abstract concept of tree insertion. The final identification of the lowest level element ties the construction process back to the specific question asked, demonstrating how structural properties are derived from insertion sequences effectively. This approach ensures students grasp the "how" and "why" of BST operations effectively.

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