static hazard_pq

Duration: 2 min

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Inside: a video lesson and guided study material.

Module outline

  1. About Course: About the Course
  2. General Aptitude & Reasoning: Number System, Percentage, Ratio and Proportion (Ratios), Average, Profit and Loss, Simple Interest and Compound Interest, Time and Work, Speed Time and Distance, Mixture and Alligation, Data Interpretation, Algebra, Probability, Permutation and Combination, Venn Diagram, HCF LCM, Divisibility Rules, Age Problems, Pipe and Cistern, Partnership, Linear Algebra, Sequence and Series (Series), Statistics, Powers and Exponents (Surds and Indices), Arithmetic, Mensuration and Geometry, Calculus, Trigonometry, Vectors, Speed Mathematics and Basic Mathematics, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Analogy, Series (Number and Letter Series) (Numerical Relations and Reasoning), Puzzle Solving (Puzzles), Syllogisms, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Calendar, Seating Arrangements, Coding Decoding, Blood Relations, Directions (Direction Test), Clock, Analytical Reasoning (Counting Figures Reasoning), Ranking, Order and Sequence, Logical Sequence Of Words, Inequality, Data Sufficiency, Cubes & Dices
  3. Computer Networks & Cybersecurity: 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
  4. Programming, Data Structures & Algorithms: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling, OOPS with C++, Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing, Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos, Advanced Algorithms
  5. AI, Machine Learning, Big Data & Cloud: Emerging Tech Trends, Artificial Intelligence, Big Data Systems, Approaches to AI, Search Algorithms, Knowledge Representation, Cloud Computing
  6. Digital Logic & Computer Organization: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation, Basics of COA, Floating Point Rep, Cache Memory Organization, Input Output Organisation, Pipelining, Instr Formats & Modes, Register Transfer and Microoperations, Control Unit Design, Programming the Basic Computer
  7. TOC & Compiler: 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, 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
  8. Discrete Mathematics: Set Theory, Relations, Functions, Graph Theory, Group Theory, Propositional and Predicate Logic
  9. Operating System: 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, Distributed Systems
  10. Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management, Object Oriented Technology, HTML Basics, JavaScript-Basics, Java, XML
  11. Database Management System: 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, Data Warehousing & Mining, Enhanced Data Models, NoSQL
  12. Other Recurring CS Topics: Basics of Computer Graphics, 2-D Geometrical Transforms and Viewing, Multimedia
  13. Live Classes: ISRO Live classes
  14. Full Mock Test:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

The user wants a JSON summary of the provided video lecture. **1. Analyze the Video Content:** - **Topic:** Digital Logic Design, specifically Boolean functions, Karnaugh Maps (K-maps), and Static Hazards. - **Problem Statement:** The video starts with a question: "A Boolean function is given as f(A, B, C, D) = Σm(5, 7, 11, 12, 13, 15). If this function is implemented using its minimal Sum of Products (SOP) form, then will the resulting circuit have static hazard?" - **Process:** - The instructor draws a 4-variable K-map. - He labels

Chapters

  1. 0:00 – 1:51 00:00-01:51

    The user wants a JSON summary of the provided video lecture. **1. Analyze the Video Content:** - **Topic:** Digital Logic Design, specifically Boolean functions, Karnaugh Maps (K-maps), and Static Hazards. - **Problem Statement:** The video starts with a question: "A Boolean function is given as f(A, B, C, D) = Σm(5, 7, 11, 12, 13, 15). If this function is implemented using its minimal Sum of Products (SOP) form, then will the resulting circuit have static hazard?" - **Process:** - The instructor draws a 4-variable K-map. - He labels the rows (AB) and columns (CD) with Gray code (00, 01, 11, 10). - He fills in the minterms: 5, 7, 11, 12, 13, 15. - He groups the 1s to find the minimal SOP expression. - He identifies a potential static hazard. A static hazard occurs when two adjacent minterms (differing by one variable) are covered by different product terms (groups) that do not overlap. - He specifically points out the transition between minterm 12 (1100) and minterm 13 (1101). Wait, let's look closer. - The groups drawn are: - Group 1: Minterms 5, 7, 13, 15 (Column 01 and 11 in row 01 and 11? No, let's re-examine the grouping). - Looking at the final grouping in the video (around 00:20-00:25): - One group is a quad: 5, 7, 13, 15. This corresponds to B=1, D=1 (BD). Wait, 5 is 0101, 7 is 0111, 13 is 1101, 15 is 1111. Yes, this is BD. - Another group is a quad: 12, 13, 14, 15? No, 14 is not in the list. The list is 5, 7, 11, 12, 13, 15. - Let's re-read the minterms: 5, 7, 11, 12, 13, 15. - Let's look at the K-map filling. - Row 01 (A'B): Col 01 (C'D) -> 5. Col 11 (CD) -> 7. - Row 11 (AB): Col 00 (CD') -> 12. Col 01 (C'D) -> 13. Col 11 (CD) -> 15. - Row 10 (AB'): Col 11 (CD) -> 11. - So the 1s are at: - (0,1,0,1) -> 5 - (0,1,1,1) -> 7 - (1,0,1,1) -> 11 - (1,1,0,0) -> 12 - (1,1,0,1) -> 13 - (1,1,1,1) -> 15 - Grouping: - Quad: 5, 7, 13, 15. (Rows 01, 11; Cols 01, 11). This is B D. - Pair: 12, 13. (Row 11; Cols 00, 01). This is A B C'. - Pair: 11, 15. (Row 10, 11; Col 11). This is A C D. - Wait, let's look at the red circles drawn. - Circle 1: Covers 5, 7, 13, 15. This is BD. - Circle 2: Covers 12, 13. This is ABC'. - Circle 3: Covers 11, 15. This is ACD. - Wait, is 11 covered? Yes, by circle 3. - Is 12 covered? Yes, by circle 2. - Is 13 covered? Yes, by circle 1 and 2. - Is 15 covered? Yes, by circle 1 and 3. - Is 5 covered? Yes, by circle 1. - Is 7 covered? Yes, by circle 1. - So the expression is BD + ABC' + ACD. - **Hazard Analysis:** - The instructor looks for adjacent 1s that are not covered by the same group. - He points to the transition between 12 and 13. They are covered by different groups (ABC' and BD). Wait, 13 is in BD. 12 is in ABC'. They are adjacent. - He points to the transition between 11 and 15. They are covered by different groups (ACD and BD). Wait, 15 is in BD. 11 is in ACD. They are adjacent. - He points to the transition between 12 and 8? No, 8 is 0. - He points to the transition between 13 and 5? Covered by same group. - He points to the transition between 13 and 15? Covered by same group. - He points to the transition between 12 and 14? 14 is 0. - He points to the transition between 11 and 10? 10 is 0. - He specifically highlights the gap between the group for 12 (ABC') and the group for 11 (ACD)? No, 12 and 11 are not adjacent. - Let's look at the specific "hazard" he identifies. - He draws a red circle around 12 and 13. Then another around 11 and 15. - He points out that 12 and 13 are adjacent. 12 is covered by ABC'. 13 is covered by BD. Since they are adjacent but covered by different terms, there is a potential hazard if B or D changes? No, 12 is 1100, 13 is 1101. Only D changes. - He points out that 11 and 15 are adjacent. 11 is 1011, 15 is 1111. Only B changes. - He points out that 12 and 8? No. - He points out that 13 and 5? Covered by same group. - He points out that 15 and 7? Covered by same group. - He points out that 11 and 3? 3 is 0. - He points out that 12 and 14? 14 is 0. - He points out that 13 and 9? 9 is 0. - He points out that 15 and 14? 14 is 0. - He points out that 11 and 10? 10 is 0. - He points out that 11 and 9? 9 is 0. - He points out that 12 and 8? 8 is 0. - He points out that 13 and 12? Yes, adjacent. Covered by different groups. - He points out that 15 and 11? Yes, adjacent. Covered by different groups. - He points out that 15 and 7? Covered by same group. - He points out that 13 and 5? Covered by same group. - He points out that 7 and 5? Covered by same group. - He points out that 12 and 13? Yes. - He points out that 11 and 15? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that 15 and 11? Yes. - He points out that 12 and 8? No. - He points out that 13 and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that

and 9? No. - He points out that 15 and 14? No. - He points out that 11 and 10? No. - He points out that 12 and 14? No. - He points out that 13 and 15? Covered by same group. - He points out that 11 and 3? No. - He points out that 12 and 13? Yes. - He points out that

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