CBT

Duration: 4 min

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Module outline

  1. Communication Round: Vocabulary, Subject Verb Agreement (Verb Noun Agreement), 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), Direct and Indirect Speech, Active Passive Voice (Voice), Verbal Analogy (Word Based Analogy), Articles, Preposition, Conjunction, Sentence Construction, English Writing Ability, Communication Assessment
  2. Quantitative Aptitude: Ratio and Proportion (Ratios), Divisibility Rules, Data Interpretation, Mixture and Alligation, Permutation and Combination, Logarithm, Number System, HCF LCM, Speed Time and Distance, Percentage, Average, Powers and Exponents (Surds and Indices), Time and Work, Mensuration and Geometry, Age Problems, Pipe and Cistern, Probability, Profit and Loss, Simple Interest and Compound Interest, Algebra
  3. Analytical and Logical Reasoning: Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Data Sufficiency, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Directions (Direction Test), Ranking, Order and Sequence, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Selection Decision Table (Decision Making), Logical Sequence Of Words, Puzzle Solving (Puzzles), Syllogisms, Seating Arrangements, Calendar, Clock, Blood Relations, Cubes & Dices, Venn Diagram, Analytical Reasoning (Counting Figures Reasoning)
  4. Cognizant Gaming Aptitude: Gamified / Game Based Aptitude
  5. Java (Cluster 1): Java
  6. ANSI SQL MySQL (Cluster 1,2,3): SQL
  7. HTML, CSS, JavaScript (Cluster 1,3): HTML, CSS, JavaScript
  8. Python (Cluster 2): Python for Placements by Yash Sir
  9. Cloud Fundamentals (Cluster 2): Emerging Tech Trends
  10. C# (Cluster 3): C#
  11. OOPs: Object Oriented Programming (OOPS)
  12. Technical Assessment (Coding): Coding Questions by Yash Sir, C Programming by Yash Sir, Programming in C++, Pseudo Codes
  13. Data Structures: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing
  14. DBMS: 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
  15. Operating Systems: 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
  16. 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, Mobile Technology, Cloud Computing and IoT, Cyber and Info Security
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

The video provides a comprehensive lecture on the concept of Complete Binary Trees within data structures. It begins by formally defining the structure based on node distribution across levels. The instructor emphasizes two critical conditions: all levels except possibly the last must be fully populated, and the last level must be filled from left to right without gaps. Visual aids are used extensively to distinguish valid complete binary trees from invalid ones, highlighting specific structural violations. The second half of the lecture transitions to the mathematical properties of these trees, specifically the array-based indexing scheme. The instructor derives and demonstrates formulas to calculate the parent and children of any given node index, reinforcing the concept with a large, numbered tree diagram. This dual approach ensures students understand both the theoretical structure and the practical calculation methods.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The session opens with the definition of a Complete Binary Tree displayed prominently on the slide. The instructor reads and underlines the text: 'The binary tree T is said to be complete binary tree, if all its level except possibly the last, have the maximum number of nodes and if all the nodes at the last level appear as far left as possible.' He uses a digital pen to underline 'except possibly the last' and 'appear as far left as possible' to stress the specific constraints required for the definition. He then analyzes a set of diagrams below the text, pointing out a specific tree labeled 'Not a Complete Binary Tree.' He circles a missing node in the last level to demonstrate a violation of the 'far left' rule, showing that a gap exists before the rightmost nodes are filled. This visual comparison helps clarify the strict ordering required for completeness, contrasting it with the valid examples on the left where nodes are packed tightly.

  2. 2:00 – 4:26 02:00-04:26

    The lecture progresses to the indexing properties of complete binary trees, a key concept for implementation. A large diagram of a complete binary tree with nodes numbered 1 through 31 is shown to illustrate the pattern. The instructor introduces the formulas for navigation: 'Specially the left and right children of the node K are 2*k, 2*k + 1 and the parent of k is the node lower bound(k/2).' He underlines these formulas and writes them out in red ink above the tree. He demonstrates the logic by pointing to node 5, showing its children are 10 and 11, and pointing to node 13, showing its parent is 6. He draws arrows to visually connect the parent-child relationships, reinforcing how the mathematical formulas map directly to the tree structure. He also highlights the integer division aspect of the parent formula.

The lesson effectively bridges the gap between the structural definition of a complete binary tree and its practical implementation using array indexing. By first establishing the strict filling order (left-to-right), the instructor sets the stage for the mathematical formulas that follow. The transition from visual definitions to algebraic relationships provides a complete understanding of how these trees are stored and accessed in computer memory, which is crucial for heap data structures and priority queues. The combination of textual definitions, visual diagrams, and mathematical proofs ensures a robust grasp of the topic.

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