Stack recursion Practice questions

Duration: 3 min

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Inside: a video lesson and guided study material.

Module outline

  1. Discrete Mathematics: Permutation, Combination and Probability / क्रमचय, संचय एवं प्रायिकता, Set Theory, Relations, Functions, Propositional and Predicate Logic, Graph Theory, Group Theory
  2. Digital Logic: Digital Systems & Boolean Basics, Boolean Expression, Boolean Minimization, Logic Gates & Hardware, Combinational Circuit, Sequential Circuits, Number System, Number Representation, Floating Point Rep
  3. Computer Organization and Architecture: Basics of COA, Programming the Basic Computer, Cache Memory Organization, Input Output Organisation, Instr Formats & Modes, Register Transfer and Microoperations, Control Unit Design, Pipelining, Multiprocessors
  4. Programming: Language Design, C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling, OOPS with C++
  5. Data Structures: Introduction to DS, Array, Linked List, Stack, Queue, Tree, Graphs, Hashing
  6. Algorithms: Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos, Advanced Algorithms
  7. Theory of Computation: Grammar, Regular Language Properties, Moore & Mealy Machines, Turing Machines
  8. 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, Introduction to TOC, Deterministic FA (DFA), Non-Deterministic FA, Regular Expressions, Pushdown Automata & CFG, Complexity Theory
  9. Operating Systems: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, Disc Scheduling, File Management, Unix OS, Linux OS, Security
  10. Database Management Systems: 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, ORDBMS, NoSQL
  11. 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
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

The video presents a computer science problem involving a recursive function named `fun(int x, int y)`. The instructor systematically breaks down the execution of the function by tracing each recursive step on a digital whiteboard. The function logic is defined with a base case `if (x == 0) return y;` and a recursive step `return fun(x - 1, x + y);`. The instructor starts by initializing the parameters `x=4` and `y=3`. He then demonstrates how the function calls itself with modified arguments, decrementing `x` by 1 and adding the current value of `x` to `y` in each step. This process continues until the base case is met. The final result is identified as 13, corresponding to option (A).

Chapters

  1. 0:00 – 2:00 00:00-02:00

    In this initial segment, the instructor introduces the problem statement and the function definition. He writes `fun(4, 3)` on the board and assigns the initial values `x=4` and `y=3`. He checks the condition `if (x == 0)`, which evaluates to false. Consequently, he proceeds to the recursive call `fun(x - 1, x + y)`. He writes down the next call `fun(3, 7)`, showing the calculation `4-1=3` and `4+3=7`. He continues this process, writing `fun(2, 10)` where `x` becomes 2 and `y` becomes `3+7=10`. The instructor then writes `fun(1, 12)`, updating `x` to 1 and `y` to `2+10=12`. The board fills with the sequence of function calls, illustrating the recursive nature of the code.

  2. 2:00 – 3:15 02:00-03:15

    In the final segment, the instructor completes the trace of the recursive function. He writes the next call `fun(0, 13)`, where `x` becomes 0 and `y` becomes `1+12=13`. At this point, the condition `if (x == 0)` evaluates to true. The instructor indicates that the function returns the value of `y`, which is 13. He circles the number 13 on the board to highlight the final result. He then writes `(13) Ans` and places a checkmark next to option (A) 13, confirming it as the correct answer.

The lesson effectively demonstrates the evaluation of a recursive function by manually tracing its execution stack. By breaking down the problem into discrete steps, the instructor clarifies how parameters change with each recursive call. The visual aid of writing out each call on the board helps students follow the logic, from the initial call `fun(4, 3)` down to the base case `fun(0, 13)`. This methodical approach ensures a clear understanding of how the final value is derived through successive additions and decrements.

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