SlideShare uma empresa Scribd logo
1 de 37
PROBLEM, PROBLEM  SPACE  AND  SEARCH
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
4- Gallon jug 3- Gallon jug Rules 0 0 0 3 2 3 0 9 3 3 2 3+1=4 3-1=2 7 0 2 11 2 0
4- Gallon jug 3- Gallon jug Rules 0 0 4 0 4-3=1 0+3=3 1 0 0 1 4 1 4-2=2 1+2=3
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object]
[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object]
library school hospital factory park newsagent university church Explore  nodes  in tree order: library, school, hospital, factory, park, newsagent, uni, church. (conventionally explore left to right at each level)
[object Object],library school hospital factory park newsagent university
Initial state One level BFS Second level  BFS ,[object Object],[object Object],[object Object],[object Object],[object Object],0, 0 4, 0 0, 3 4, 3 0, 0 1, 3 4, 3 0, 0 3, 0
[object Object],[object Object],[object Object],[object Object]
Initial state Subordinates ,[object Object],[object Object],[object Object],[object Object],0, 0 4, 0 4, 3
[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],CITIES A B C D A X 250 1400 900 B 650 1800 200 1100 C X 2000 3600 4000 D 1250 X 1900 600
[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],Initial state Goal state 2 8 3 1 6 4 7 5 1 2 3 8 4 7 6 5
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Monotonic Repetition of rules is allowed  Non-Monotonic No such Repetition is allowed Partially Commutative If x gives y then permutation of x also gives y Theorem Proving Robot Navigation Non Partially Commutative It is both monotonic and partial commutative Chemical Synthesis Bridge
[object Object],[object Object],[object Object]
Search Tree Search Graph 0,0 is appearing 2 times and it is one of our previous state so instead of repeating it we just linked it. It requires a small book-keeping which is called a graph.  0, 0 4, 0 0, 3 4, 3 0, 0 1, 3 4, 3 0, 0 3, 0 0, 0 4, 0 0, 3 4, 3 0, 0 1, 3 4, 3 0, 0 3, 0
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object]

Mais conteúdo relacionado

Mais procurados

Linguistic variable
Linguistic variable Linguistic variable
Linguistic variable Math-Circle
 
Oscillation and Convengence Properties of Second Order Nonlinear Neutral Dela...
Oscillation and Convengence Properties of Second Order Nonlinear Neutral Dela...Oscillation and Convengence Properties of Second Order Nonlinear Neutral Dela...
Oscillation and Convengence Properties of Second Order Nonlinear Neutral Dela...inventionjournals
 
January18
January18January18
January18khyps13
 
Polynomial Functions
Polynomial FunctionsPolynomial Functions
Polynomial Functionsnicole379865
 
Bayesian decesion theory
Bayesian decesion theoryBayesian decesion theory
Bayesian decesion theoryVARUN KUMAR
 
15.3 solving systems of equations by elimination
15.3 solving systems of equations by elimination15.3 solving systems of equations by elimination
15.3 solving systems of equations by eliminationGlenSchlee
 
6 2 Solving Systems with substitution
6 2 Solving Systems with substitution6 2 Solving Systems with substitution
6 2 Solving Systems with substitutionBitsy Griffin
 
introduction to differential equations
introduction to differential equationsintroduction to differential equations
introduction to differential equationsEmdadul Haque Milon
 
8 - solving systems of linear equations by adding or subtracting
8  - solving systems of linear equations by adding or subtracting8  - solving systems of linear equations by adding or subtracting
8 - solving systems of linear equations by adding or subtractingAnthony_Maiorano
 

Mais procurados (18)

Linguistic variable
Linguistic variable Linguistic variable
Linguistic variable
 
Ch02 4
Ch02 4Ch02 4
Ch02 4
 
AI Lesson 03
AI Lesson 03AI Lesson 03
AI Lesson 03
 
Oscillation and Convengence Properties of Second Order Nonlinear Neutral Dela...
Oscillation and Convengence Properties of Second Order Nonlinear Neutral Dela...Oscillation and Convengence Properties of Second Order Nonlinear Neutral Dela...
Oscillation and Convengence Properties of Second Order Nonlinear Neutral Dela...
 
Diffy Q Paper
Diffy Q PaperDiffy Q Paper
Diffy Q Paper
 
Cramer's Rule
Cramer's RuleCramer's Rule
Cramer's Rule
 
January18
January18January18
January18
 
Transform idea
Transform ideaTransform idea
Transform idea
 
Epistemic vs Aleatory: Granular Computing and Ideas Beyond That
Epistemic vs Aleatory: Granular Computing and Ideas Beyond ThatEpistemic vs Aleatory: Granular Computing and Ideas Beyond That
Epistemic vs Aleatory: Granular Computing and Ideas Beyond That
 
Polynomial Functions
Polynomial FunctionsPolynomial Functions
Polynomial Functions
 
Bayesian decesion theory
Bayesian decesion theoryBayesian decesion theory
Bayesian decesion theory
 
15.3 solving systems of equations by elimination
15.3 solving systems of equations by elimination15.3 solving systems of equations by elimination
15.3 solving systems of equations by elimination
 
Ordinary differential equation
Ordinary differential equationOrdinary differential equation
Ordinary differential equation
 
Introduction to differential equation
Introduction to differential equationIntroduction to differential equation
Introduction to differential equation
 
6 2 Solving Systems with substitution
6 2 Solving Systems with substitution6 2 Solving Systems with substitution
6 2 Solving Systems with substitution
 
introduction to differential equations
introduction to differential equationsintroduction to differential equations
introduction to differential equations
 
8 - solving systems of linear equations by adding or subtracting
8  - solving systems of linear equations by adding or subtracting8  - solving systems of linear equations by adding or subtracting
8 - solving systems of linear equations by adding or subtracting
 
Solutions of linear systems (2.1 old)
Solutions of linear systems (2.1   old)Solutions of linear systems (2.1   old)
Solutions of linear systems (2.1 old)
 

Destaque (8)

Ai
AiAi
Ai
 
Gbo
GboGbo
Gbo
 
Problem space
Problem spaceProblem space
Problem space
 
Myspace tll new
Myspace tll newMyspace tll new
Myspace tll new
 
Listening to the song
Listening to the songListening to the song
Listening to the song
 
WEST HILL - Investor Presentation
WEST HILL - Investor PresentationWEST HILL - Investor Presentation
WEST HILL - Investor Presentation
 
Project
ProjectProject
Project
 
(VN)_LAKE POINT TRUCKING_v2_25 NEW 2015
(VN)_LAKE POINT TRUCKING_v2_25 NEW 2015(VN)_LAKE POINT TRUCKING_v2_25 NEW 2015
(VN)_LAKE POINT TRUCKING_v2_25 NEW 2015
 

Semelhante a Problem space

2.Problems Problem Spaces and Search.ppt
2.Problems Problem Spaces and Search.ppt2.Problems Problem Spaces and Search.ppt
2.Problems Problem Spaces and Search.pptDr. Naushad Varish
 
Problems Spaces and Search
Problems Spaces and SearchProblems Spaces and Search
Problems Spaces and SearchChaitanyaHanda
 
(Radhika) presentation on chapter 2 ai
(Radhika) presentation on chapter 2 ai(Radhika) presentation on chapter 2 ai
(Radhika) presentation on chapter 2 aiRadhika Srinivasan
 
study material for Artificial Intelligence
study material for Artificial Intelligencestudy material for Artificial Intelligence
study material for Artificial Intelligencekarmastrike9441
 
Chapter2final 130103081315-phpapp02
Chapter2final 130103081315-phpapp02Chapter2final 130103081315-phpapp02
Chapter2final 130103081315-phpapp02Madhan Kumar
 
unit 2.pptx
unit 2.pptxunit 2.pptx
unit 2.pptxGavy11
 
Artificial Intelligence
Artificial IntelligenceArtificial Intelligence
Artificial IntelligenceJay Nagar
 
Artificial intelligent Lec 3-ai chapter3-search
Artificial intelligent Lec 3-ai chapter3-searchArtificial intelligent Lec 3-ai chapter3-search
Artificial intelligent Lec 3-ai chapter3-searchTaymoor Nazmy
 
Algorithm and flowchart with pseudo code
Algorithm and flowchart with pseudo codeAlgorithm and flowchart with pseudo code
Algorithm and flowchart with pseudo codehamza javed
 
chapterThree.pptx
chapterThree.pptxchapterThree.pptx
chapterThree.pptxchalachew5
 
Search-Beyond-Classical-no-exercise-answers.pdf
Search-Beyond-Classical-no-exercise-answers.pdfSearch-Beyond-Classical-no-exercise-answers.pdf
Search-Beyond-Classical-no-exercise-answers.pdfMrRRThirrunavukkaras
 
Artificial intelligence cs607 handouts lecture 11 - 45
Artificial intelligence   cs607 handouts lecture 11 - 45Artificial intelligence   cs607 handouts lecture 11 - 45
Artificial intelligence cs607 handouts lecture 11 - 45Sattar kayani
 

Semelhante a Problem space (20)

2.Problems Problem Spaces and Search.ppt
2.Problems Problem Spaces and Search.ppt2.Problems Problem Spaces and Search.ppt
2.Problems Problem Spaces and Search.ppt
 
Problems Spaces and Search
Problems Spaces and SearchProblems Spaces and Search
Problems Spaces and Search
 
(Radhika) presentation on chapter 2 ai
(Radhika) presentation on chapter 2 ai(Radhika) presentation on chapter 2 ai
(Radhika) presentation on chapter 2 ai
 
problemsolving with AI.pptx
problemsolving with AI.pptxproblemsolving with AI.pptx
problemsolving with AI.pptx
 
study material for Artificial Intelligence
study material for Artificial Intelligencestudy material for Artificial Intelligence
study material for Artificial Intelligence
 
Ai unit-3
Ai unit-3Ai unit-3
Ai unit-3
 
Chapter2final 130103081315-phpapp02
Chapter2final 130103081315-phpapp02Chapter2final 130103081315-phpapp02
Chapter2final 130103081315-phpapp02
 
Chapter 2 (final)
Chapter 2 (final)Chapter 2 (final)
Chapter 2 (final)
 
unit 2.pptx
unit 2.pptxunit 2.pptx
unit 2.pptx
 
Artificial Intelligence
Artificial IntelligenceArtificial Intelligence
Artificial Intelligence
 
Artificial intelligent Lec 3-ai chapter3-search
Artificial intelligent Lec 3-ai chapter3-searchArtificial intelligent Lec 3-ai chapter3-search
Artificial intelligent Lec 3-ai chapter3-search
 
Problem solving
Problem solvingProblem solving
Problem solving
 
Algorithm and flowchart with pseudo code
Algorithm and flowchart with pseudo codeAlgorithm and flowchart with pseudo code
Algorithm and flowchart with pseudo code
 
ppt
pptppt
ppt
 
ppt
pptppt
ppt
 
chapterThree.pptx
chapterThree.pptxchapterThree.pptx
chapterThree.pptx
 
Search-Beyond-Classical-no-exercise-answers.pdf
Search-Beyond-Classical-no-exercise-answers.pdfSearch-Beyond-Classical-no-exercise-answers.pdf
Search-Beyond-Classical-no-exercise-answers.pdf
 
Pso notes
Pso notesPso notes
Pso notes
 
Lecture 2
Lecture 2Lecture 2
Lecture 2
 
Artificial intelligence cs607 handouts lecture 11 - 45
Artificial intelligence   cs607 handouts lecture 11 - 45Artificial intelligence   cs607 handouts lecture 11 - 45
Artificial intelligence cs607 handouts lecture 11 - 45
 

Último

04-2024-HHUG-Sales-and-Marketing-Alignment.pptx
04-2024-HHUG-Sales-and-Marketing-Alignment.pptx04-2024-HHUG-Sales-and-Marketing-Alignment.pptx
04-2024-HHUG-Sales-and-Marketing-Alignment.pptxHampshireHUG
 
What Are The Drone Anti-jamming Systems Technology?
What Are The Drone Anti-jamming Systems Technology?What Are The Drone Anti-jamming Systems Technology?
What Are The Drone Anti-jamming Systems Technology?Antenna Manufacturer Coco
 
Finology Group – Insurtech Innovation Award 2024
Finology Group – Insurtech Innovation Award 2024Finology Group – Insurtech Innovation Award 2024
Finology Group – Insurtech Innovation Award 2024The Digital Insurer
 
How to Troubleshoot Apps for the Modern Connected Worker
How to Troubleshoot Apps for the Modern Connected WorkerHow to Troubleshoot Apps for the Modern Connected Worker
How to Troubleshoot Apps for the Modern Connected WorkerThousandEyes
 
The 7 Things I Know About Cyber Security After 25 Years | April 2024
The 7 Things I Know About Cyber Security After 25 Years | April 2024The 7 Things I Know About Cyber Security After 25 Years | April 2024
The 7 Things I Know About Cyber Security After 25 Years | April 2024Rafal Los
 
Powerful Google developer tools for immediate impact! (2023-24 C)
Powerful Google developer tools for immediate impact! (2023-24 C)Powerful Google developer tools for immediate impact! (2023-24 C)
Powerful Google developer tools for immediate impact! (2023-24 C)wesley chun
 
Scaling API-first – The story of a global engineering organization
Scaling API-first – The story of a global engineering organizationScaling API-first – The story of a global engineering organization
Scaling API-first – The story of a global engineering organizationRadu Cotescu
 
From Event to Action: Accelerate Your Decision Making with Real-Time Automation
From Event to Action: Accelerate Your Decision Making with Real-Time AutomationFrom Event to Action: Accelerate Your Decision Making with Real-Time Automation
From Event to Action: Accelerate Your Decision Making with Real-Time AutomationSafe Software
 
Histor y of HAM Radio presentation slide
Histor y of HAM Radio presentation slideHistor y of HAM Radio presentation slide
Histor y of HAM Radio presentation slidevu2urc
 
Boost PC performance: How more available memory can improve productivity
Boost PC performance: How more available memory can improve productivityBoost PC performance: How more available memory can improve productivity
Boost PC performance: How more available memory can improve productivityPrincipled Technologies
 
Data Cloud, More than a CDP by Matt Robison
Data Cloud, More than a CDP by Matt RobisonData Cloud, More than a CDP by Matt Robison
Data Cloud, More than a CDP by Matt RobisonAnna Loughnan Colquhoun
 
2024: Domino Containers - The Next Step. News from the Domino Container commu...
2024: Domino Containers - The Next Step. News from the Domino Container commu...2024: Domino Containers - The Next Step. News from the Domino Container commu...
2024: Domino Containers - The Next Step. News from the Domino Container commu...Martijn de Jong
 
Advantages of Hiring UIUX Design Service Providers for Your Business
Advantages of Hiring UIUX Design Service Providers for Your BusinessAdvantages of Hiring UIUX Design Service Providers for Your Business
Advantages of Hiring UIUX Design Service Providers for Your BusinessPixlogix Infotech
 
Presentation on how to chat with PDF using ChatGPT code interpreter
Presentation on how to chat with PDF using ChatGPT code interpreterPresentation on how to chat with PDF using ChatGPT code interpreter
Presentation on how to chat with PDF using ChatGPT code interpreternaman860154
 
Workshop - Best of Both Worlds_ Combine KG and Vector search for enhanced R...
Workshop - Best of Both Worlds_ Combine  KG and Vector search for  enhanced R...Workshop - Best of Both Worlds_ Combine  KG and Vector search for  enhanced R...
Workshop - Best of Both Worlds_ Combine KG and Vector search for enhanced R...Neo4j
 
EIS-Webinar-Prompt-Knowledge-Eng-2024-04-08.pptx
EIS-Webinar-Prompt-Knowledge-Eng-2024-04-08.pptxEIS-Webinar-Prompt-Knowledge-Eng-2024-04-08.pptx
EIS-Webinar-Prompt-Knowledge-Eng-2024-04-08.pptxEarley Information Science
 
Real Time Object Detection Using Open CV
Real Time Object Detection Using Open CVReal Time Object Detection Using Open CV
Real Time Object Detection Using Open CVKhem
 
CNv6 Instructor Chapter 6 Quality of Service
CNv6 Instructor Chapter 6 Quality of ServiceCNv6 Instructor Chapter 6 Quality of Service
CNv6 Instructor Chapter 6 Quality of Servicegiselly40
 
GenCyber Cyber Security Day Presentation
GenCyber Cyber Security Day PresentationGenCyber Cyber Security Day Presentation
GenCyber Cyber Security Day PresentationMichael W. Hawkins
 
Boost Fertility New Invention Ups Success Rates.pdf
Boost Fertility New Invention Ups Success Rates.pdfBoost Fertility New Invention Ups Success Rates.pdf
Boost Fertility New Invention Ups Success Rates.pdfsudhanshuwaghmare1
 

Último (20)

04-2024-HHUG-Sales-and-Marketing-Alignment.pptx
04-2024-HHUG-Sales-and-Marketing-Alignment.pptx04-2024-HHUG-Sales-and-Marketing-Alignment.pptx
04-2024-HHUG-Sales-and-Marketing-Alignment.pptx
 
What Are The Drone Anti-jamming Systems Technology?
What Are The Drone Anti-jamming Systems Technology?What Are The Drone Anti-jamming Systems Technology?
What Are The Drone Anti-jamming Systems Technology?
 
Finology Group – Insurtech Innovation Award 2024
Finology Group – Insurtech Innovation Award 2024Finology Group – Insurtech Innovation Award 2024
Finology Group – Insurtech Innovation Award 2024
 
How to Troubleshoot Apps for the Modern Connected Worker
How to Troubleshoot Apps for the Modern Connected WorkerHow to Troubleshoot Apps for the Modern Connected Worker
How to Troubleshoot Apps for the Modern Connected Worker
 
The 7 Things I Know About Cyber Security After 25 Years | April 2024
The 7 Things I Know About Cyber Security After 25 Years | April 2024The 7 Things I Know About Cyber Security After 25 Years | April 2024
The 7 Things I Know About Cyber Security After 25 Years | April 2024
 
Powerful Google developer tools for immediate impact! (2023-24 C)
Powerful Google developer tools for immediate impact! (2023-24 C)Powerful Google developer tools for immediate impact! (2023-24 C)
Powerful Google developer tools for immediate impact! (2023-24 C)
 
Scaling API-first – The story of a global engineering organization
Scaling API-first – The story of a global engineering organizationScaling API-first – The story of a global engineering organization
Scaling API-first – The story of a global engineering organization
 
From Event to Action: Accelerate Your Decision Making with Real-Time Automation
From Event to Action: Accelerate Your Decision Making with Real-Time AutomationFrom Event to Action: Accelerate Your Decision Making with Real-Time Automation
From Event to Action: Accelerate Your Decision Making with Real-Time Automation
 
Histor y of HAM Radio presentation slide
Histor y of HAM Radio presentation slideHistor y of HAM Radio presentation slide
Histor y of HAM Radio presentation slide
 
Boost PC performance: How more available memory can improve productivity
Boost PC performance: How more available memory can improve productivityBoost PC performance: How more available memory can improve productivity
Boost PC performance: How more available memory can improve productivity
 
Data Cloud, More than a CDP by Matt Robison
Data Cloud, More than a CDP by Matt RobisonData Cloud, More than a CDP by Matt Robison
Data Cloud, More than a CDP by Matt Robison
 
2024: Domino Containers - The Next Step. News from the Domino Container commu...
2024: Domino Containers - The Next Step. News from the Domino Container commu...2024: Domino Containers - The Next Step. News from the Domino Container commu...
2024: Domino Containers - The Next Step. News from the Domino Container commu...
 
Advantages of Hiring UIUX Design Service Providers for Your Business
Advantages of Hiring UIUX Design Service Providers for Your BusinessAdvantages of Hiring UIUX Design Service Providers for Your Business
Advantages of Hiring UIUX Design Service Providers for Your Business
 
Presentation on how to chat with PDF using ChatGPT code interpreter
Presentation on how to chat with PDF using ChatGPT code interpreterPresentation on how to chat with PDF using ChatGPT code interpreter
Presentation on how to chat with PDF using ChatGPT code interpreter
 
Workshop - Best of Both Worlds_ Combine KG and Vector search for enhanced R...
Workshop - Best of Both Worlds_ Combine  KG and Vector search for  enhanced R...Workshop - Best of Both Worlds_ Combine  KG and Vector search for  enhanced R...
Workshop - Best of Both Worlds_ Combine KG and Vector search for enhanced R...
 
EIS-Webinar-Prompt-Knowledge-Eng-2024-04-08.pptx
EIS-Webinar-Prompt-Knowledge-Eng-2024-04-08.pptxEIS-Webinar-Prompt-Knowledge-Eng-2024-04-08.pptx
EIS-Webinar-Prompt-Knowledge-Eng-2024-04-08.pptx
 
Real Time Object Detection Using Open CV
Real Time Object Detection Using Open CVReal Time Object Detection Using Open CV
Real Time Object Detection Using Open CV
 
CNv6 Instructor Chapter 6 Quality of Service
CNv6 Instructor Chapter 6 Quality of ServiceCNv6 Instructor Chapter 6 Quality of Service
CNv6 Instructor Chapter 6 Quality of Service
 
GenCyber Cyber Security Day Presentation
GenCyber Cyber Security Day PresentationGenCyber Cyber Security Day Presentation
GenCyber Cyber Security Day Presentation
 
Boost Fertility New Invention Ups Success Rates.pdf
Boost Fertility New Invention Ups Success Rates.pdfBoost Fertility New Invention Ups Success Rates.pdf
Boost Fertility New Invention Ups Success Rates.pdf
 

Problem space

  • 1. PROBLEM, PROBLEM SPACE AND SEARCH
  • 2.
  • 3.
  • 4.
  • 5.
  • 6.
  • 7.
  • 8.
  • 9. 4- Gallon jug 3- Gallon jug Rules 0 0 0 3 2 3 0 9 3 3 2 3+1=4 3-1=2 7 0 2 11 2 0
  • 10. 4- Gallon jug 3- Gallon jug Rules 0 0 4 0 4-3=1 0+3=3 1 0 0 1 4 1 4-2=2 1+2=3
  • 11.
  • 12.
  • 13.
  • 14.
  • 15.
  • 16. library school hospital factory park newsagent university church Explore nodes in tree order: library, school, hospital, factory, park, newsagent, uni, church. (conventionally explore left to right at each level)
  • 17.
  • 18.
  • 19.
  • 20.
  • 21.
  • 22.
  • 23.
  • 24.
  • 25.
  • 26.
  • 27.
  • 28.
  • 29.
  • 30.
  • 31.
  • 32. Monotonic Repetition of rules is allowed Non-Monotonic No such Repetition is allowed Partially Commutative If x gives y then permutation of x also gives y Theorem Proving Robot Navigation Non Partially Commutative It is both monotonic and partial commutative Chemical Synthesis Bridge
  • 33.
  • 34. Search Tree Search Graph 0,0 is appearing 2 times and it is one of our previous state so instead of repeating it we just linked it. It requires a small book-keeping which is called a graph. 0, 0 4, 0 0, 3 4, 3 0, 0 1, 3 4, 3 0, 0 3, 0 0, 0 4, 0 0, 3 4, 3 0, 0 1, 3 4, 3 0, 0 3, 0
  • 35.
  • 36.
  • 37.