Function_Practice Question

Duration: 3 min

This video lesson is available to enrolled students.

Return to /learn/BTSC-LAB-ASSISTANT/programming-fundamentals/functions-ca695d/basic-recursion/asset-function-practice-question after enrolling

Inside: a video lesson and guided study material.

Module outline

  1. About Course: BTSC About Course
  2. Basics of Computer Science: Basics of COA, Number System, Number Representation
  3. Operating System: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory
  4. Data Structures & Algorithms: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing, Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms
  5. Database Management Systems(DBMS): Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Relational Algebra, SQL, Transaction Management, Concurrency Control, Database Recovery
  6. Networking and Internet: Introduction to CN, Data Communication, Net Layer: IPv4 & Proto, Net Layer: IP Addressing, Application Layer, Hardware Basics, Network Access Technologies, Network Security
  7. Cyber Security Basics: Cyber Threats and Malware Attacks, Role of Internet and Web Services, Electronic Data Interchange and E-Commerce, Cyber Safety and Security
  8. C Programming (Programming Fundamentals): C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  9. C++, OOPs & Java (Programming Fundamentals): Java, OOPS with C++
  10. Python (Programming Fundamentals): Introduction to Python, Tokens, Variables, Data Types, I/O, Operators & Expressions, Control Flow & Looping, Collections & Strings, Functions & Modules
  11. Web Development Basics: Internet Fundamentals, Web Design & Development, Protocols & Services, Web Publishing & Hosting, Server Side & Security, Emerging Technologies, JavaScript-Basics, HTML Basics
  12. Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing
  13. Software and Hardware Tools: MS Office Applications, Unix OS, Linux OS
  14. Emerging Trends. AI & Social Ethics: Artificial Intelligence, Emerging Tech Trends, Society, Law & Ethics
  15. Full Mock Test:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

The video presents a detailed walkthrough of a recursive function problem designed to test understanding of algorithmic logic. The specific task is to find the output of the function x when the input n is 6. The instructor, Sanchit Jain Sir, uses a whiteboard-style presentation to break down the pseudo-code. The code defines a function int x(int n) with a conditional check: if n is less than 3, it returns 1; otherwise, it returns the sum of x(n-1) called twice plus 1. The lecture focuses on tracing the execution path and calculating the final integer value through step-by-step evaluation.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The instructor introduces the problem statement 'Find the output of the following pseudo code on n = 6?'. He writes the function definition int x(int n) and the logic if (n < 3) return 1; Else return x(n-1) + x(n-1) + 1;. He begins drawing a recursion tree in red ink. The root is x(6), which splits into x(5), x(5), and 1. He expands the tree downwards, showing x(5) splitting into x(4), x(4), and 1, continuing until x(2) is reached. He marks x(2) as the base case because 2 < 3, meaning it returns 1 immediately without further recursion.

  2. 2:00 – 2:46 02:00-02:46

    The instructor calculates the values starting from the base case x(2) = 1. He writes x(3) = 3 on the board, derived from 1 + 1 + 1. He then calculates x(4) = 7 using the formula 3 + 3 + 1. Following this pattern, he determines x(5) = 15 (since 7 + 7 + 1). Finally, he computes x(6) = 31 by adding 15 + 15 + 1. He circles the final result 31 in red ink. He briefly mentions the mathematical pattern 2^(n-1) - 1 to confirm the sequence 3, 7, 15, 31.

The lesson effectively demonstrates a standard technique for solving recursive problems: visualization via recursion trees and iterative evaluation. By breaking down the complex call x(6) into smaller sub-problems x(5), x(4), etc., the instructor shows how to manage the state of the recursion. The key takeaway is recognizing the base case n < 3 and applying the recurrence relation T(n) = 2*T(n-1) + 1 to find the closed-form solution or specific value. This approach helps students avoid common pitfalls like infinite loops or incorrect base case handling.

Loading lesson…