Functions

Duration: 5 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 lecture explains how to determine the output of a recursive function named `Print_array(a, i, j)`. The instructor sets up a specific example using an array `a` with values `{10, 30, 18, 7, 15, 22}` and initial parameters `i=1` and `j=4`. He traces the execution step-by-step, demonstrating how the function prints elements sequentially until the base case `i == j` is reached, resulting in the output sequence 30, 18, 7, 15.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video begins with the instructor presenting a pseudo-code problem titled 'Find the output of the following pseudo code?'. The code defines a function `void Print_array(a, i, j)` with a base case `if (i == j)` that prints `a[i]` and returns. The else block prints `a[i]` and calls `print_array(a, i+1, j)`. To demonstrate, he draws an array `a` with indices 0 to 5 and fills it with values: 10, 30, 18, 7, 15, 22. He sets the initial call parameters as `i=1` and `j=4`, writing `print_array(a, 1, 4)` on the board to start the trace.

  2. 2:00 – 5:00 02:00-05:00

    The instructor performs a detailed trace of the recursion using a tree diagram. First, `print_array(a, 1, 4)` executes. Since `1 != 4`, it prints `a[1]` (value 30) and calls `print_array(a, 2, 4)`. Next, `print_array(a, 2, 4)` executes. Since `2 != 4`, it prints `a[2]` (value 18) and calls `print_array(a, 3, 4)`. Then, `print_array(a, 3, 4)` executes. Since `3 != 4`, it prints `a[3]` (value 7) and calls `print_array(a, 4, 4)`. Finally, `print_array(a, 4, 4)` executes. Here `4 == 4`, so it hits the base case, prints `a[4]` (value 15), and returns. He writes the sequence 30, 18, 7, 15 on the board.

  3. 5:00 – 5:08 05:00-05:08

    The instructor concludes the explanation by confirming the final output sequence. He writes the final answer '30 18 7 15' inside a box to signify the solution. He briefly reviews the trace to ensure the logic holds, emphasizing that the recursion stops exactly when the start index meets the end index, preventing infinite loops or out-of-bounds errors.

The lesson effectively demonstrates the mechanics of recursion by tracing a function that prints array elements within a specific range. By breaking down the base case and the recursive step, the instructor shows how the index `i` increments until it equals `j`, ensuring the correct subset of the array is printed. This method of drawing a recursion tree is a standard technique for visualizing and debugging recursive algorithms.

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