Stack recursion Practice questions

Duration: 3 min

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Inside: a video lesson and guided study material.

Module outline

  1. Paper 1 | Reasoning Test: Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Data Sufficiency, Syllogisms, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Seating Arrangements, Blood Relations, Puzzle Solving (Puzzles), Venn Diagram, Analogy, Ranking, Order and Sequence, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Selection Decision Table (Decision Making), Logical Sequence Of Words, Cubes & Dices, Analytical Reasoning (Counting Figures Reasoning), Calendar, Alphabet and Word Tests, Numerical Reasoning, Number System, Averages, Mixtures and Alligation, Percentages, Series Completion, Analogy and Classification, Patterns in Two-Dimensional Figures, Coding and Decoding, Mathematical Operations, Direction Sense, Algebra, Logical Deduction and Induction, Syllogisms and Venn Diagrams, Critical Reasoning, Order, Ranking and Sequence, Reading Comprehension, Profit, Loss and Discount, Constraint Puzzles, Speed, Time and Distance, Traverse Surveying, Ratio and Proportion, Time and Work, Mensuration, Permutations and Combinations, Clocks and Calendars, Data Interpretation, Assembling and Grouping of Shapes, Transformation of Shapes, Three-Dimensional Patterns and Visualization, Cubes and Dice, Vocabulary, Blood Relations, Data Sufficiency
  2. Paper 1 | Numerical Analysis: Number System, HCF LCM, Percentage, Ratio and Proportion (Ratios), Average, Sequence and Series (Series), Powers and Exponents (Surds and Indices), Algebra, Statistics, Data Interpretation, Mental Ability, Arithmetic, Logarithm, Profit and Loss, Simple Interest and Compound Interest, Speed Time and Distance, Mixture and Alligation, Mensuration and Geometry, Permutation and Combination, Probability, Sequences and Series, Powers, Surds and Logarithms, Subject-Verb Agreement, Sentence Completion, Geometry, Sentence Structure and Correction, Data Sufficiency, Trigonometry, Measurement and Quantity Take-Off, Signal Space and Optimum Detection, Probability, Statistics, Algebra, Time and Work, Speed, Time and Distance, Data Interpretation, Graph Theory, Combinatorics
  3. Paper 1 | General Knowledge: State Wise GK, History, Geography, GK- Current Affairs, Static General Knowledge, Polity, Indian Economy
  4. Paper 1 | DBMS: 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, Relational Calculus, Database Security & Authorization, Database Recovery
  5. Paper 1 | Data Communication & Network: 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, Network Security, Security in Mobile and Wireless Computing, Input Output Organisation, File Management, Hardware Basics, Terms & Abbreviations, Protocols & Services, Network Access Technologies, Cyber Safety and Security, Basics of COA
  6. Paper 2 | System Analysis & Design: Fundamentals of Systems and Information Systems, SDLC and Development Approaches, Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Documentation and Software Requirements Specification (SRS), SDD and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management, Security, Risk Management & Maintenance, extras
  7. Paper 2 | Programming Language (Java): Java Fundamentals, OOPS with Java, Array, String, IO & References, Generic & Collections, Multithreading, Java, Miscellaneous, Control Flow, OOPS with C++, Stack, C Fundamentals, Arrays & Pointers, Object Oriented Technology, Control Flow & Looping, Introduction to Python
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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