Optimal Merge Patern

Duration: 5 min

This video lesson is available to enrolled students.

Return to /learn/SSC-JE-IMD-SCIENTIFIC-ASSISTANT-COMPUTER-SCIENCE/algorithms/greedy-algorithms/optimal-merge-pattern/asset-optimal-merge-patern after enrolling

Inside: a video lesson and guided study material.

Module outline

  1. General Intelligence & Reasoning: Analogy, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Blood Relations, Directions (Direction Test), Ranking, Order and Sequence, Logical Sequence Of Words, Syllogisms, Venn Diagram, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Selection Decision Table (Decision Making), Data Sufficiency, Puzzle Solving (Puzzles), Data Arrangement, Cubes & Dices, Calendar, Clock, Arithmetic, Number System, HCF LCM, Verbal Analogy (Word Based Analogy), Visual Recognition and Figure Completion, Paper Folding and Cutting, Transformation of Shapes, Clocks and Calendars, Direction Sense, Cubes and Dice, Patterns in Two-Dimensional Figures, Seating Arrangements, Analogy and Classification, Logical Deduction and Induction, Alphabet and Word Tests, Mathematical Operations, Series Completion, Simplification and Approximation, Coding and Decoding, Numerical Reasoning, Assembling and Grouping of Shapes, Three-Dimensional Patterns and Visualization, Vocabulary, Number System, Averages, Mixtures and Alligation, Simple and Compound Interest, Percentages, Algebra, Speed, Time and Distance, Seating and Arrangement Puzzles, Traverse Surveying, Order, Ranking and Sequence, Constraint Puzzles, Syllogisms and Venn Diagrams, Reading Comprehension, Critical Reasoning, Permutations and Combinations, Narrative Sequencing, Project Monitoring, Resources and Safety, Profit, Loss and Discount, Ratio and Proportion, Time and Work, Mensuration, Data Interpretation, Powers, Surds and Logarithms, Sequences and Series, Articles and Determiners, Sentence Completion, Data Sufficiency, Blood Relations, Simple Interest and Compound Interest, Mixture and Alligation, Sequence and Series (Series), Speed Time and Distance, Algebra, Profit and Loss, Powers and Exponents (Surds and Indices), Permutation and Combination
  2. General Awareness: Physics, Chemistry, Biology, History, Geography, Polity, Indian Economy, Environment, Static General Knowledge, GK- Current Affairs, Artificial Intelligence, MS Office Applications, Terms & Abbreviations, Keyboard Shortcuts, Evolution of Indian Banking (Banking & Financial Awareness), Emerging Tech Trends
  3. Engineering Mathematics: Set Theory, Relations, Functions, Graph Theory, Group Theory, Propositional and Predicate Logic, Linear Algebra, Calculus, Probability, Statistics, Signal Space and Optimum Detection, Probability, Statistics
  4. Digital Logic: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation, Floating Point Rep, Number Systems and Codes, Registers and Counters, Boolean Algebra and Logic Gates, Microprocessors and Microcontrollers, Logic Families and CMOS Logic, Microprocessors, Logic Gates and Boolean Algebra, Minimization of Boolean Functions, Timing, Hazards and Testing, Logic Families, Combinational Logic Design, Arithmetic Circuits, Waveform Generators and Timer Circuits, Semiconductor Memories and Programmable Logic Devices, Combinational Logic Circuits, Latches and Flip-Flops, Finite State Machines, Sequential Circuits and State Machines, Minimization of Boolean Functions, Arithmetic Circuits, Latches and Flip-Flops, Number Systems and Codes, Registers and Counters
  5. Computer Organisation & Architecture: Basics of COA, Cache Memory Organization, Input Output Organisation, Pipelining, Instr Formats & Modes, Control Unit Design, Programming the Basic Computer, Register Transfer and Microoperations, Semiconductor Memories and Programmable Logic, Processor Organization and Instructions, Memory Hierarchy and Input/Output, Registers and Counters
  6. Programming & Data Structures: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling, Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing, HTML Basics, OOPS with C++, Java, Object Oriented Technology
  7. Databases: 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, Database Recovery, Database Security & Authorization
  8. Algorithms: Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos
  9. Theory of Computation: Introduction to TOC, Deterministic FA (DFA), Non-Deterministic FA, Regular Expressions, Grammar, Regular Language Properties, Moore & Mealy Machines, Pushdown Automata & CFG, Turing Machines, Complexity Theory
  10. 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
  11. Operating System: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, Disc Scheduling, File Management, Security, Windows OS, Distributed Systems, Unix OS, Linux OS
  12. Computer Networks: Introduction to CN, 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, Data Communication, Website, Browser & Services, Web Design & Development, Network Security, Cyber Threats and Malware Attacks, Cyber Safety and Security
  13. Full Length Mock Tests:
  14. Sectional Tests:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

The video lecture provides a comprehensive explanation of the 'Optimal merge pattern' problem within the domain of file sorting. The instructor begins by defining the optimal merge pattern as a strategy to merge two or more sorted files into a single sorted file using two-way merges, specifically aiming for the minimum number of record movements. He highlights that the size of the solution space for this problem is n!, indicating the complexity of finding the optimal solution. The lecture then transitions to a practical application, presenting a problem involving 8 files with varying page counts (18, 3, 15, 12, 10, 11, 7, 9). The core of the lesson demonstrates a greedy algorithm, analogous to Huffman coding, to solve this problem. The instructor systematically selects the two smallest files, merges them, and repeats the process until a single file remains, calculating the total cost as the sum of all intermediate merge costs. This step-by-step approach illustrates how to construct a merge tree and determine the minimum record movements required.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The instructor introduces the definition of 'Optimal merge pattern' from the slide, underlining key terms like 'merging of two or more sorted files' and 'minimum number of record movements'. He explains that the solution space size is n!. He then draws a simple example on the whiteboard, writing 'F1 3' and 'F2 4', merging them into a box with '7'. He further illustrates a tree structure with values 10, 20, and 30, showing how merging 10 and 20 results in 30, and then merging that with 30 results in 60. He calculates a cost, writing '2 + 16 = 18' (though the context is slightly ambiguous, it relates to the cost calculation of the merge tree). He also draws arrows to show the flow of merging.

  2. 2:00 – 5:00 02:00-05:00

    A new problem appears on the slide: 'Given a set of 8 files from F1 to F8 with following number of pages find the minimum number of record movements to merge them into single file?'. The table lists file sizes: 18, 3, 15, 12, 10, 11, 7, 9. The instructor solves this by repeatedly picking the two smallest available file sizes. He crosses out 3 (F2) and 7 (F7) and merges them to create a new file of size 10. He then crosses out 9 (F8) and 10 (F5) to merge them into 19. Next, he merges the new 10 (from F2+F7) with 11 (F6) to get 21. He continues by merging 12 (F4) and 15 (F3) to get 27. Then he merges 18 (F1) and 19 (new) to get 37. He merges 21 (new) and 27 (new) to get 48. Finally, he merges 37 and 48 to get 85. He sums these intermediate costs: 10 + 19 + 21 + 27 + 37 + 48 + 85 = 247. He writes the final summation on the board: '85 + 48 + 21 + 27 + 37 + 19 + 10 = 247'.

  3. 5:00 – 5:28 05:00-05:28

    The video concludes with the instructor standing next to the initial definition slide. He appears to be wrapping up the explanation of the optimal merge pattern problem, reinforcing the concept that the greedy approach yields the minimum record movements. The final board shows the completed tree structure and the total cost calculation. He gestures towards the board to emphasize the final result, ensuring students understand the cumulative cost calculation method.

The lecture effectively bridges theoretical definitions with practical application. It starts by defining the problem space (n! possibilities) and the goal (minimum record movements). It then demonstrates the solution strategy using a greedy algorithm, which is the standard approach for this problem (Huffman coding). The step-by-step calculation of the 8-file example solidifies the understanding of how to construct the merge tree and sum the internal node values to find the total cost. The visual aids, including the slide definitions and the whiteboard tree diagrams, play a crucial role in clarifying the abstract concept of optimal merge patterns.

Loading lesson…