AI Informed Search Strategies by Examples
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Explaining how informed search strategies in Artificial Intelligence (AI) works by examples. Three informed search strategies presented: Hill Climbing Search. Greedy Best-First Search. A* Search. In numerical analysis, hill climbing is a mathematical optimization technique which belongs to the family of local search. It is an iterative algorithm that starts with an arbitrary solution to a problem, then attempts to find a better solution by incrementally changing a single element of the solution. If the change produces a better solution, an incremental change is made to the new solution, repeating until no further improvements can be found. In computer science, A* is a computer algorithm that is widely used in pathfinding and graph traversal, the process of plotting an efficiently directed path between multiple points, called nodes. It enjoys widespread use due to its performance and accuracy. However, in practical travel-routing systems, it is generally outperformed by algorithms which can pre-process the graph to attain better performance, although other work has found A* to be superior to other approaches. A greedy algorithm is an algorithmic paradigm that follows the problem solving heuristic of making the locally optimal choice at each stage with the hope of finding a global optimum. In many problems, a greedy strategy does not in general produce an optimal solution, but nonetheless a greedy heuristic may yield locally optimal solutions that approximate a global optimal solution in a reasonable time. Find me on: AFCIT http://www.afcit.xyz YouTube https://www.youtube.com/channel/UCuewOYbBXH5gwhfOrQOZOdw Google Plus https://plus.google.com/u/0/+AhmedGadIT SlideShare https://www.slideshare.net/AhmedGadFCIT LinkedIn https://www.linkedin.com/in/ahmedfgad/ ResearchGate https://www.researchgate.net/profile/Ahmed_Gad13 Academia https://www.academia.edu/ Google Scholar https://scholar.google.com.eg/citations?user=r07tjocAAAAJ&hl=en Mendelay https://www.mendeley.com/profiles/ahmed-gad12/ ORCID https://orcid.org/0000-0003-1978-8574 StackOverFlow http://stackoverflow.com/users/5426539/ahmed-gad Twitter https://twitter.com/ahmedfgad Facebook https://www.facebook.com/ahmed.f.gadd Pinterest https://www.pinterest.com/ahmedfgad/
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AI Informed Search Strategies by Examples
- 1. AI Informed Search Strategies by Examples MENOUFIA UNIVERSITY FACULTY OF COMPUTERS AND INFORMATION ALL DEPARTMENTS ARTIFICIAL INTELLIGENCE المنوفية جامعة والمعلومات الحاسبات كلية األقسام جميع الذكاءاإلصطناعي المنوفية جامعة Ahmed Fawzy Gad ahmed.fawzy@ci.menofia.edu.eg
- 2. Uninformed Search Vs. Informed Search OR Heuristically Informed Search
- 3. Uninformed Search Vs. Informed Search OR Heuristically Informed Search
- 4. Uninformed Search Vs. Informed Search OR Heuristically Informed Search
- 5. Uninformed Search Vs. Informed Search OR Heuristically Informed Search Heuristic Evaluation Function
- 6. Uninformed Search Vs. Informed Search OR Heuristically Informed Search Heuristic Evaluation Function
- 7. Uninformed Search Vs. Informed Search OR Heuristically Informed Search Heuristic Evaluation Function Heuristic Value
- 8. Uninformed Search Vs. Informed Search OR Heuristically Informed Search Heuristic Evaluation Function Heuristic Value Small Heuristic Value Better Path
- 9. Uninformed Search Vs. Informed Search OR Heuristically Informed Search Heuristic Evaluation Function Heuristic Value Small Heuristic Value Better Path h(C)
- 10. Uninformed Search Vs. Informed Search OR Heuristically Informed Search Heuristic Evaluation Function Heuristic Value Small Heuristic Value Better Path h(C) h(B)
- 11. Uninformed Search Vs. Informed Search OR Heuristically Informed Search Heuristic Evaluation Function Heuristic Value Small Heuristic Value Better Path h(C) h(B)<
- 12. Uninformed Search Vs. Informed Search OR Heuristically Informed Search Heuristic Evaluation Function Heuristic Value Small Heuristic Value Better Path h(C) h(B)<C
- 13. Uninformed Search Vs. Informed Search OR Heuristically Informed Search Heuristic Evaluation Function Heuristic Value Small Heuristic Value Better Path h(C) h(B)<C Uninformed Search NO INFORMATION Direct Search BEST PATH
- 14. Heuristic Evaluation Function • Good heuristic evaluation function is what directs search to reach goal with the smallest number of nodes. • Good heuristic evaluation function is not time consuming in the heuristic value calculation. 𝒉 𝟏𝑯𝒆𝒖𝒓𝒊𝒔𝒕𝒊𝒄 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏
- 15. Heuristic Evaluation Function • Good heuristic evaluation function is what directs search to reach goal with the smallest number of nodes. • Good heuristic evaluation function is not time consuming in the heuristic value calculation. 𝒉 𝟏 𝒉 𝟐𝑯𝒆𝒖𝒓𝒊𝒔𝒕𝒊𝒄 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏
- 16. Heuristic Evaluation Function • Good heuristic evaluation function is what directs search to reach goal with the smallest number of nodes. • Good heuristic evaluation function is not time consuming in the heuristic value calculation. 𝒉 𝟏 𝒉 𝟐𝑯𝒆𝒖𝒓𝒊𝒔𝒕𝒊𝒄 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏 # 𝒐𝒇 𝑵𝒐𝒅𝒆𝒔
- 17. Heuristic Evaluation Function • Good heuristic evaluation function is what directs search to reach goal with the smallest number of nodes. • Good heuristic evaluation function is not time consuming in the heuristic value calculation. 𝒉 𝟏 𝒉 𝟐 𝟓 𝑯𝒆𝒖𝒓𝒊𝒔𝒕𝒊𝒄 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏 # 𝒐𝒇 𝑵𝒐𝒅𝒆𝒔
- 18. Heuristic Evaluation Function • Good heuristic evaluation function is what directs search to reach goal with the smallest number of nodes. • Good heuristic evaluation function is not time consuming in the heuristic value calculation. 𝒉 𝟏 𝒉 𝟐 𝟓 𝟕 𝑯𝒆𝒖𝒓𝒊𝒔𝒕𝒊𝒄 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏 # 𝒐𝒇 𝑵𝒐𝒅𝒆𝒔
- 19. Heuristic Evaluation Function • Good heuristic evaluation function is what directs search to reach goal with the smallest number of nodes. • Good heuristic evaluation function is not time consuming in the heuristic value calculation. 𝒉 𝟏 𝒉 𝟐 𝟓 𝟕 𝒉 𝟏𝑯𝒆𝒖𝒓𝒊𝒔𝒕𝒊𝒄 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏 # 𝒐𝒇 𝑵𝒐𝒅𝒆𝒔
- 20. Heuristic Evaluation Function • Good heuristic evaluation function is what directs search to reach goal with the smallest number of nodes. • Good heuristic evaluation function is not time consuming in the heuristic value calculation. 𝒉 𝟏 𝒉 𝟐 𝟓 𝟕 𝒉 𝟏 𝟓 𝑯𝒆𝒖𝒓𝒊𝒔𝒕𝒊𝒄 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏 # 𝒐𝒇 𝑵𝒐𝒅𝒆𝒔
- 21. Heuristic Evaluation Function • Good heuristic evaluation function is what directs search to reach goal with the smallest number of nodes. • Good heuristic evaluation function is not time consuming in the heuristic value calculation. 𝒉 𝟏 𝒉 𝟐 𝟓 𝟕 𝒉 𝟏 𝟓 𝒉 𝟏 𝑯𝒆𝒖𝒓𝒊𝒔𝒕𝒊𝒄 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏 # 𝒐𝒇 𝑵𝒐𝒅𝒆𝒔 𝑯𝒆𝒖𝒓𝒊𝒔𝒕𝒊𝒄 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏
- 22. Heuristic Evaluation Function • Good heuristic evaluation function is what directs search to reach goal with the smallest number of nodes. • Good heuristic evaluation function is not time consuming in the heuristic value calculation. 𝒉 𝟏 𝒉 𝟐 𝟓 𝟕 𝒉 𝟏 𝟓 𝒉 𝟏 𝒉 𝟐 𝑯𝒆𝒖𝒓𝒊𝒔𝒕𝒊𝒄 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏 # 𝒐𝒇 𝑵𝒐𝒅𝒆𝒔 𝑯𝒆𝒖𝒓𝒊𝒔𝒕𝒊𝒄 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏 𝑻𝒊𝒎𝒆
- 23. Heuristic Evaluation Function • Good heuristic evaluation function is what directs search to reach goal with the smallest number of nodes. • Good heuristic evaluation function is not time consuming in the heuristic value calculation. 𝒉 𝟏 𝒉 𝟐 𝟓 𝟕 𝒉 𝟏 𝟓 𝒉 𝟏 𝒉 𝟐 𝟔𝟎𝒔 𝑯𝒆𝒖𝒓𝒊𝒔𝒕𝒊𝒄 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏 # 𝒐𝒇 𝑵𝒐𝒅𝒆𝒔 𝑯𝒆𝒖𝒓𝒊𝒔𝒕𝒊𝒄 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏 𝑻𝒊𝒎𝒆
- 24. Heuristic Evaluation Function • Good heuristic evaluation function is what directs search to reach goal with the smallest number of nodes. • Good heuristic evaluation function is not time consuming in the heuristic value calculation. 𝒉 𝟏 𝒉 𝟐 𝟓 𝟕 𝒉 𝟏 𝟓 𝒉 𝟏 𝒉 𝟐 𝟔𝟎𝒔 𝟏𝟎𝒔 𝑯𝒆𝒖𝒓𝒊𝒔𝒕𝒊𝒄 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏 # 𝒐𝒇 𝑵𝒐𝒅𝒆𝒔 𝑯𝒆𝒖𝒓𝒊𝒔𝒕𝒊𝒄 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏 𝑻𝒊𝒎𝒆
- 25. Heuristic Evaluation Function • Good heuristic evaluation function is what directs search to reach goal with the smallest number of nodes. • Good heuristic evaluation function is not time consuming in the heuristic value calculation. 𝒉 𝟏 𝒉 𝟐 𝟓 𝟕 𝒉 𝟏 𝟓 𝒉 𝟏 𝒉 𝟐 𝟔𝟎𝒔 𝟏𝟎𝒔 𝒉 𝟐 𝑯𝒆𝒖𝒓𝒊𝒔𝒕𝒊𝒄 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏 # 𝒐𝒇 𝑵𝒐𝒅𝒆𝒔 𝑯𝒆𝒖𝒓𝒊𝒔𝒕𝒊𝒄 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏 𝑻𝒊𝒎𝒆
- 26. Heuristic Evaluation Function • Good heuristic evaluation function is what directs search to reach goal with the smallest number of nodes. • Good heuristic evaluation function is not time consuming in the heuristic value calculation. 𝒉 𝟏 𝒉 𝟐 𝟓 𝟕 𝒉 𝟏 𝟓 𝒉 𝟏 𝒉 𝟐 𝟔𝟎𝒔 𝟏𝟎𝒔 𝒉 𝟐 𝟏𝟎𝒔 𝑯𝒆𝒖𝒓𝒊𝒔𝒕𝒊𝒄 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏 # 𝒐𝒇 𝑵𝒐𝒅𝒆𝒔 𝑯𝒆𝒖𝒓𝒊𝒔𝒕𝒊𝒄 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏 𝑻𝒊𝒎𝒆
- 27. Hill Climbing Goal – Node G S --- Current Children
- 28. Hill Climbing Goal – Node G S --- Current Children S
- 29. Hill Climbing Goal – Node G S --- Current Children S S
- 30. Hill Climbing Goal – Node G S --- Current Children S 𝑫 𝟖.𝟗, 𝑨 𝟏𝟎.𝟒 S
- 31. Hill Climbing Goal – Node G S --- Current Children S 𝑫 𝟖.𝟗, 𝑨 𝟏𝟎.𝟒 D S
- 32. Hill Climbing Goal – Node G S --- Current Children S 𝑫 𝟖.𝟗, 𝑨 𝟏𝟎.𝟒 D --- S
- 33. Hill Climbing Goal – Node G S --- Current Children S 𝑫 𝟖.𝟗, 𝑨 𝟏𝟎.𝟒 D --- S D
- 34. Hill Climbing Goal – Node G S --- Current Children S 𝑫 𝟖.𝟗, 𝑨 𝟏𝟎.𝟒 D --- D S D
- 35. Hill Climbing Goal – Node G S --- Current Children S 𝑫 𝟖.𝟗, 𝑨 𝟏𝟎.𝟒 D --- D 𝑬 𝟔.𝟗, 𝑨 𝟏𝟎.𝟒 S D
- 36. Hill Climbing Goal – Node G S --- Current Children S 𝑫 𝟖.𝟗, 𝑨 𝟏𝟎.𝟒 D --- D 𝑬 𝟔.𝟗, 𝑨 𝟏𝟎.𝟒 E S D
- 37. Hill Climbing Goal – Node G S --- Current Children S 𝑫 𝟖.𝟗, 𝑨 𝟏𝟎.𝟒 D --- D 𝑬 𝟔.𝟗, 𝑨 𝟏𝟎.𝟒 E --- S D
- 38. Hill Climbing Goal – Node G S --- Current Children S 𝑫 𝟖.𝟗, 𝑨 𝟏𝟎.𝟒 D --- D 𝑬 𝟔.𝟗, 𝑨 𝟏𝟎.𝟒 E --- S D E
- 39. Hill Climbing Goal – Node G S --- Current Children S 𝑫 𝟖.𝟗, 𝑨 𝟏𝟎.𝟒 D --- D 𝑬 𝟔.𝟗, 𝑨 𝟏𝟎.𝟒 E --- E S D E
- 40. Hill Climbing Goal – Node G S --- Current Children S 𝑫 𝟖.𝟗, 𝑨 𝟏𝟎.𝟒 D --- D 𝑬 𝟔.𝟗, 𝑨 𝟏𝟎.𝟒 E --- E 𝑭 𝟑.𝟎, 𝑩 𝟔.𝟕 S D E
- 41. Hill Climbing Goal – Node G S --- Current Children S 𝑫 𝟖.𝟗, 𝑨 𝟏𝟎.𝟒 D --- D 𝑬 𝟔.𝟗, 𝑨 𝟏𝟎.𝟒 E --- E 𝑭 𝟑.𝟎, 𝑩 𝟔.𝟕 F S D E
- 42. Hill Climbing Goal – Node G S --- Current Children S 𝑫 𝟖.𝟗, 𝑨 𝟏𝟎.𝟒 D --- D 𝑬 𝟔.𝟗, 𝑨 𝟏𝟎.𝟒 E --- E 𝑭 𝟑.𝟎, 𝑩 𝟔.𝟕 F --- S D E
- 43. Hill Climbing Goal – Node G S --- Current Children S 𝑫 𝟖.𝟗, 𝑨 𝟏𝟎.𝟒 D --- D 𝑬 𝟔.𝟗, 𝑨 𝟏𝟎.𝟒 E --- E 𝑭 𝟑.𝟎, 𝑩 𝟔.𝟕 F --- S D E F
- 44. Hill Climbing Goal – Node G S --- Current Children S 𝑫 𝟖.𝟗, 𝑨 𝟏𝟎.𝟒 D --- D 𝑬 𝟔.𝟗, 𝑨 𝟏𝟎.𝟒 E --- E 𝑭 𝟑.𝟎, 𝑩 𝟔.𝟕 F --- F S D E F
- 45. Hill Climbing Goal – Node G S --- Current Children S 𝑫 𝟖.𝟗, 𝑨 𝟏𝟎.𝟒 D --- D 𝑬 𝟔.𝟗, 𝑨 𝟏𝟎.𝟒 E --- E 𝑭 𝟑.𝟎, 𝑩 𝟔.𝟕 F --- F G S D E F
- 46. Hill Climbing Goal – Node G S --- Current Children S 𝑫 𝟖.𝟗, 𝑨 𝟏𝟎.𝟒 D --- D 𝑬 𝟔.𝟗, 𝑨 𝟏𝟎.𝟒 E --- E 𝑭 𝟑.𝟎, 𝑩 𝟔.𝟕 F --- F G S D E F
- 47. Hill Climbing Goal – Node G S --- Current Children S 𝑫 𝟖.𝟗, 𝑨 𝟏𝟎.𝟒 D --- D 𝑬 𝟔.𝟗, 𝑨 𝟏𝟎.𝟒 E --- E 𝑭 𝟑.𝟎, 𝑩 𝟔.𝟕 F --- F G S D E F G
- 48. Hill Climbing Goal – Node G S --- Current Children S 𝑫 𝟖.𝟗, 𝑨 𝟏𝟎.𝟒 D --- D 𝑬 𝟔.𝟗, 𝑨 𝟏𝟎.𝟒 E --- E 𝑭 𝟑.𝟎, 𝑩 𝟔.𝟕 F --- F G S D E F G ---
- 49. Hill Climbing Goal – Node G S --- Current Children S 𝑫 𝟖.𝟗, 𝑨 𝟏𝟎.𝟒 D --- D 𝑬 𝟔.𝟗, 𝑨 𝟏𝟎.𝟒 E --- E 𝑭 𝟑.𝟎, 𝑩 𝟔.𝟕 F --- F G S D E F GG ---
- 50. Hill Climbing Goal – Node K Local Maxima a --- Current Children
- 51. Hill Climbing Goal – Node K Local Maxima a --- Current Children a
- 52. Hill Climbing Goal – Node K Local Maxima a --- Current Children a a
- 53. Hill Climbing Goal – Node K Local Maxima a --- Current Children a 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 a
- 54. Hill Climbing Goal – Node K Local Maxima a --- Current Children a 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 f a
- 55. Hill Climbing Goal – Node K Local Maxima a --- Current Children a 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 f --- a
- 56. Hill Climbing Goal – Node K Local Maxima a --- Current Children a 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 f --- a f
- 57. Hill Climbing Goal – Node K Local Maxima a --- Current Children a 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 f --- f a f
- 58. Hill Climbing Goal – Node K Local Maxima a --- Current Children a 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 f --- f 𝒈 𝟑, 𝒆 𝟓 a f
- 59. Hill Climbing Goal – Node K Local Maxima a --- Current Children a 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 f --- f 𝒈 𝟑, 𝒆 𝟓 a f g
- 60. Hill Climbing Goal – Node K Local Maxima a --- Current Children a 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 f --- f 𝒈 𝟑, 𝒆 𝟓 a f g ---
- 61. Hill Climbing Goal – Node K Local Maxima a --- Current Children a 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 f --- f 𝒈 𝟑, 𝒆 𝟓 a f g ---g
- 62. Hill Climbing Goal – Node K Local Maxima a --- Current Children a 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 f --- f 𝒈 𝟑, 𝒆 𝟓 a f g --- g g
- 63. Hill Climbing Goal – Node K Local Maxima a --- Current Children a 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 f --- f 𝒈 𝟑, 𝒆 𝟓 a f g --- g --- g
- 64. Hill Climbing Goal – Node K Local Maxima a --- Current Children a 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 f --- f 𝒈 𝟑, 𝒆 𝟓 a f g --- g --- g Search Finished No GOAL
- 65. Hill Climbing Goal – Node K Local Maxima a --- Current Children a 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 f --- f 𝒈 𝟑, 𝒆 𝟓 a f g --- g --- g Search Finished No GOAL
- 66. Greedy Best-First Search Goal – Node K 𝒂 𝟏𝟎 --- Current Children
- 67. Greedy Best-First Search Goal – Node K 𝒂 𝟏𝟎 --- Current Children 𝒂 𝟏𝟎
- 68. Greedy Best-First Search Goal – Node K 𝒂 𝟏𝟎 --- Current Children 𝒂 𝟏𝟎 𝒂 𝟏𝟎
- 69. Greedy Best-First Search Goal – Node K 𝒂 𝟏𝟎 --- Current Children 𝒂 𝟏𝟎 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 𝒂 𝟏𝟎
- 70. Greedy Best-First Search Goal – Node K 𝒂 𝟏𝟎 --- Current Children 𝒂 𝟏𝟎 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒂 𝟏𝟎
- 71. Greedy Best-First Search Goal – Node K 𝒂 𝟏𝟎 --- Current Children 𝒂 𝟏𝟎 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒋 𝟖,𝒃 𝟏𝟎 𝒂 𝟏𝟎
- 72. Greedy Best-First Search Goal – Node K 𝒂 𝟏𝟎 --- Current Children 𝒂 𝟏𝟎 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒋 𝟖,𝒃 𝟏𝟎 𝒂 𝟏𝟎 𝒇 𝟕
- 73. Greedy Best-First Search Goal – Node K 𝒂 𝟏𝟎 --- Current Children 𝒂 𝟏𝟎 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒂 𝟏𝟎 𝒇 𝟕
- 74. Greedy Best-First Search Goal – Node K 𝒂 𝟏𝟎 --- Current Children 𝒂 𝟏𝟎 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒈 𝟑,𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒂 𝟏𝟎 𝒇 𝟕
- 75. Greedy Best-First Search Goal – Node K 𝒂 𝟏𝟎 --- Current Children 𝒂 𝟏𝟎 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒈 𝟑,𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒂 𝟏𝟎 𝒇 𝟕 𝒈 𝟑
- 76. Greedy Best-First Search Goal – Node K 𝒂 𝟏𝟎 --- Current Children 𝒂 𝟏𝟎 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒈 𝟑,𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒂 𝟏𝟎 𝒇 𝟕 𝒈 𝟑 𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎
- 77. Greedy Best-First Search Goal – Node K 𝒂 𝟏𝟎 --- Current Children 𝒂 𝟏𝟎 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒈 𝟑,𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒂 𝟏𝟎 𝒇 𝟕 𝒈 𝟑 𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒆 𝟓 𝒈 𝟑
- 78. Greedy Best-First Search Goal – Node K 𝒂 𝟏𝟎 --- Current Children 𝒂 𝟏𝟎 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒈 𝟑,𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒂 𝟏𝟎 𝒇 𝟕 𝒈 𝟑 𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎𝒈 𝟑
- 79. Greedy Best-First Search Goal – Node K 𝒂 𝟏𝟎 --- Current Children 𝒂 𝟏𝟎 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒈 𝟑,𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒂 𝟏𝟎 𝒇 𝟕 𝒈 𝟑 𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒆 𝟓 𝒈 𝟑
- 80. Greedy Best-First Search Goal – Node K 𝒂 𝟏𝟎 --- Current Children 𝒂 𝟏𝟎 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒈 𝟑,𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒂 𝟏𝟎 𝒇 𝟕 𝒈 𝟑 𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒆 𝟓 𝒋 𝟖,𝒃 𝟏𝟎 𝒈 𝟑
- 81. Greedy Best-First Search Goal – Node K 𝒂 𝟏𝟎 --- Current Children 𝒂 𝟏𝟎 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒈 𝟑,𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒂 𝟏𝟎 𝒇 𝟕 𝒈 𝟑 𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒆 𝟓 𝒋 𝟖,𝒃 𝟏𝟎 𝒈 𝟑 𝒆 𝟓
- 82. Greedy Best-First Search Goal – Node K 𝒂 𝟏𝟎 --- Current Children 𝒂 𝟏𝟎 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒈 𝟑,𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒂 𝟏𝟎 𝒇 𝟕 𝒈 𝟑 𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒆 𝟓 𝒋 𝟖,𝒃 𝟏𝟎 𝒈 𝟑 𝒆 𝟓 𝒆 𝟓
- 83. Greedy Best-First Search Goal – Node K 𝒂 𝟏𝟎 --- Current Children 𝒂 𝟏𝟎 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒈 𝟑,𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒂 𝟏𝟎 𝒇 𝟕 𝒈 𝟑 𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒆 𝟓 𝒋 𝟖,𝒃 𝟏𝟎 𝒈 𝟑 𝒆 𝟓 𝒆 𝟓 𝒊 𝟔,𝒋 𝟖,𝒃 𝟏𝟎
- 84. Greedy Best-First Search Goal – Node K 𝒂 𝟏𝟎 --- Current Children 𝒂 𝟏𝟎 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒈 𝟑,𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒂 𝟏𝟎 𝒇 𝟕 𝒈 𝟑 𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒆 𝟓 𝒋 𝟖,𝒃 𝟏𝟎 𝒈 𝟑 𝒆 𝟓 𝒆 𝟓 𝒊 𝟔,𝒋 𝟖,𝒃 𝟏𝟎 𝒊 𝟔
- 85. Greedy Best-First Search Goal – Node K 𝒂 𝟏𝟎 --- Current Children 𝒂 𝟏𝟎 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒈 𝟑,𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒂 𝟏𝟎 𝒇 𝟕 𝒈 𝟑 𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒆 𝟓 𝒋 𝟖,𝒃 𝟏𝟎 𝒈 𝟑 𝒆 𝟓 𝒆 𝟓 𝒊 𝟔,𝒋 𝟖,𝒃 𝟏𝟎 𝒊 𝟔 𝒋 𝟖,𝒃 𝟏𝟎
- 86. Greedy Best-First Search Goal – Node K 𝒂 𝟏𝟎 --- Current Children 𝒂 𝟏𝟎 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒈 𝟑,𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒂 𝟏𝟎 𝒇 𝟕 𝒈 𝟑 𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒆 𝟓 𝒋 𝟖,𝒃 𝟏𝟎 𝒈 𝟑 𝒆 𝟓 𝒆 𝟓 𝒊 𝟔,𝒋 𝟖,𝒃 𝟏𝟎 𝒊 𝟔 𝒋 𝟖,𝒃 𝟏𝟎𝒊 𝟔
- 87. Greedy Best-First Search Goal – Node K 𝒂 𝟏𝟎 --- Current Children 𝒂 𝟏𝟎 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒈 𝟑,𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒂 𝟏𝟎 𝒇 𝟕 𝒈 𝟑 𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒆 𝟓 𝒋 𝟖,𝒃 𝟏𝟎 𝒈 𝟑 𝒆 𝟓 𝒆 𝟓 𝒊 𝟔,𝒋 𝟖,𝒃 𝟏𝟎 𝒊 𝟔 𝒋 𝟖,𝒃 𝟏𝟎𝒊 𝟔 𝒊 𝟔
- 88. Greedy Best-First Search Goal – Node K 𝒂 𝟏𝟎 --- Current Children 𝒂 𝟏𝟎 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒈 𝟑,𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒂 𝟏𝟎 𝒇 𝟕 𝒈 𝟑 𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒆 𝟓 𝒋 𝟖,𝒃 𝟏𝟎 𝒈 𝟑 𝒆 𝟓 𝒆 𝟓 𝒊 𝟔,𝒋 𝟖,𝒃 𝟏𝟎 𝒊 𝟔 𝒋 𝟖,𝒃 𝟏𝟎𝒊 𝟔 𝒊 𝟔 𝒌 𝟎,𝒋 𝟖,𝒃 𝟏𝟎
- 89. Greedy Best-First Search Goal – Node K 𝒂 𝟏𝟎 --- Current Children 𝒂 𝟏𝟎 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒈 𝟑,𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒂 𝟏𝟎 𝒇 𝟕 𝒈 𝟑 𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒆 𝟓 𝒋 𝟖,𝒃 𝟏𝟎 𝒈 𝟑 𝒆 𝟓 𝒆 𝟓 𝒊 𝟔,𝒋 𝟖,𝒃 𝟏𝟎 𝒊 𝟔 𝒋 𝟖,𝒃 𝟏𝟎𝒊 𝟔 𝒊 𝟔 𝒌 𝟎,𝒋 𝟖,𝒃 𝟏𝟎 𝒌 𝟎
- 90. Greedy Best-First Search Goal – Node K 𝒂 𝟏𝟎 --- Current Children 𝒂 𝟏𝟎 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒈 𝟑,𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒂 𝟏𝟎 𝒇 𝟕 𝒈 𝟑 𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒆 𝟓 𝒋 𝟖,𝒃 𝟏𝟎 𝒈 𝟑 𝒆 𝟓 𝒆 𝟓 𝒊 𝟔,𝒋 𝟖,𝒃 𝟏𝟎 𝒊 𝟔 𝒋 𝟖,𝒃 𝟏𝟎𝒊 𝟔 𝒊 𝟔 𝒌 𝟎,𝒋 𝟖,𝒃 𝟏𝟎 𝒌 𝟎 𝒋 𝟖,𝒃 𝟏𝟎
- 91. Greedy Best-First Search Goal – Node K 𝒂 𝟏𝟎 --- Current Children 𝒂 𝟏𝟎 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒈 𝟑,𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒂 𝟏𝟎 𝒇 𝟕 𝒈 𝟑 𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒆 𝟓 𝒋 𝟖,𝒃 𝟏𝟎 𝒈 𝟑 𝒆 𝟓 𝒆 𝟓 𝒊 𝟔,𝒋 𝟖,𝒃 𝟏𝟎 𝒊 𝟔 𝒋 𝟖,𝒃 𝟏𝟎𝒊 𝟔 𝒊 𝟔 𝒌 𝟎,𝒋 𝟖,𝒃 𝟏𝟎 𝒌 𝟎 𝒋 𝟖,𝒃 𝟏𝟎𝒌 𝟎
- 92. Greedy Best-First Search Goal – Node K 𝒂 𝟏𝟎 --- Current Children 𝒂 𝟏𝟎 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒈 𝟑,𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒂 𝟏𝟎 𝒇 𝟕 𝒈 𝟑 𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒆 𝟓 𝒋 𝟖,𝒃 𝟏𝟎 𝒈 𝟑 𝒆 𝟓 𝒆 𝟓 𝒊 𝟔,𝒋 𝟖,𝒃 𝟏𝟎 𝒊 𝟔 𝒋 𝟖,𝒃 𝟏𝟎𝒊 𝟔 𝒊 𝟔 𝒌 𝟎,𝒋 𝟖,𝒃 𝟏𝟎 𝒌 𝟎 𝒋 𝟖,𝒃 𝟏𝟎𝒌 𝟎 Similar to Uniform Cost Just use Heuristic & Avoids Cost
- 93. Greedy Best-First Search Goal – Node K 𝒂 𝟏𝟎 --- Current Children 𝒂 𝟏𝟎 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒈 𝟑,𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒂 𝟏𝟎 𝒇 𝟕 𝒈 𝟑 𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒆 𝟓 𝒋 𝟖,𝒃 𝟏𝟎 𝒈 𝟑 𝒆 𝟓 𝒆 𝟓 𝒊 𝟔,𝒋 𝟖,𝒃 𝟏𝟎 𝒊 𝟔 𝒋 𝟖,𝒃 𝟏𝟎𝒊 𝟔 𝒊 𝟔 𝒌 𝟎,𝒋 𝟖,𝒃 𝟏𝟎 𝒌 𝟎 𝒋 𝟖,𝒃 𝟏𝟎𝒌 𝟎 Similar to Uniform Cost Just use Heuristic & Avoids Cost Cost: Node to Node Heuristic: Node to Goal
- 94. Greedy Best-First Search Goal – Node K 𝒂 𝟏𝟎 --- Current Children 𝒂 𝟏𝟎 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒈 𝟑,𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒂 𝟏𝟎 𝒇 𝟕 𝒈 𝟑 𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒆 𝟓 𝒋 𝟖,𝒃 𝟏𝟎 𝒈 𝟑 𝒆 𝟓 𝒆 𝟓 𝒊 𝟔,𝒋 𝟖,𝒃 𝟏𝟎 𝒊 𝟔 𝒋 𝟖,𝒃 𝟏𝟎𝒊 𝟔 𝒊 𝟔 𝒌 𝟎,𝒋 𝟖,𝒃 𝟏𝟎 𝒌 𝟎 𝒋 𝟖,𝒃 𝟏𝟎𝒌 𝟎 Similar to Uniform Cost Just use Heuristic & Avoids Cost Heuristic Cost: Node to Node Heuristic: Node to Goal
- 95. Greedy Best-First Search Goal – Node K 𝒂 𝟏𝟎 --- Current Children 𝒂 𝟏𝟎 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒈 𝟑,𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒂 𝟏𝟎 𝒇 𝟕 𝒈 𝟑 𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒆 𝟓 𝒋 𝟖,𝒃 𝟏𝟎 𝒈 𝟑 𝒆 𝟓 𝒆 𝟓 𝒊 𝟔,𝒋 𝟖,𝒃 𝟏𝟎 𝒊 𝟔 𝒋 𝟖,𝒃 𝟏𝟎𝒊 𝟔 𝒊 𝟔 𝒌 𝟎,𝒋 𝟖,𝒃 𝟏𝟎 𝒌 𝟎 𝒋 𝟖,𝒃 𝟏𝟎𝒌 𝟎 Similar to Uniform Cost Just use Heuristic & Avoids Cost Heuristic 5 Cost: Node to Node Heuristic: Node to Goal
- 96. Greedy Best-First Search Goal – Node K 𝒂 𝟏𝟎 --- Current Children 𝒂 𝟏𝟎 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒈 𝟑,𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒂 𝟏𝟎 𝒇 𝟕 𝒈 𝟑 𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒆 𝟓 𝒋 𝟖,𝒃 𝟏𝟎 𝒈 𝟑 𝒆 𝟓 𝒆 𝟓 𝒊 𝟔,𝒋 𝟖,𝒃 𝟏𝟎 𝒊 𝟔 𝒋 𝟖,𝒃 𝟏𝟎𝒊 𝟔 𝒊 𝟔 𝒌 𝟎,𝒋 𝟖,𝒃 𝟏𝟎 𝒌 𝟎 𝒋 𝟖,𝒃 𝟏𝟎𝒌 𝟎 Similar to Uniform Cost Just use Heuristic & Avoids Cost Heuristic 5 2 Cost: Node to Node Heuristic: Node to Goal
- 97. Greedy Best-First Search Goal – Node K 𝒂 𝟏𝟎 --- Current Children 𝒂 𝟏𝟎 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒈 𝟑,𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒂 𝟏𝟎 𝒇 𝟕 𝒈 𝟑 𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒆 𝟓 𝒋 𝟖,𝒃 𝟏𝟎 𝒈 𝟑 𝒆 𝟓 𝒆 𝟓 𝒊 𝟔,𝒋 𝟖,𝒃 𝟏𝟎 𝒊 𝟔 𝒋 𝟖,𝒃 𝟏𝟎𝒊 𝟔 𝒊 𝟔 𝒌 𝟎,𝒋 𝟖,𝒃 𝟏𝟎 𝒌 𝟎 𝒋 𝟖,𝒃 𝟏𝟎𝒌 𝟎 Similar to Uniform Cost Just use Heuristic & Avoids Cost Heuristic 5 2 Cost Cost: Node to Node Heuristic: Node to Goal
- 98. Greedy Best-First Search Goal – Node K 𝒂 𝟏𝟎 --- Current Children 𝒂 𝟏𝟎 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒈 𝟑,𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒂 𝟏𝟎 𝒇 𝟕 𝒈 𝟑 𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒆 𝟓 𝒋 𝟖,𝒃 𝟏𝟎 𝒈 𝟑 𝒆 𝟓 𝒆 𝟓 𝒊 𝟔,𝒋 𝟖,𝒃 𝟏𝟎 𝒊 𝟔 𝒋 𝟖,𝒃 𝟏𝟎𝒊 𝟔 𝒊 𝟔 𝒌 𝟎,𝒋 𝟖,𝒃 𝟏𝟎 𝒌 𝟎 𝒋 𝟖,𝒃 𝟏𝟎𝒌 𝟎 Similar to Uniform Cost Just use Heuristic & Avoids Cost Heuristic 5 2 Cost 3 Cost: Node to Node Heuristic: Node to Goal
- 99. Greedy Best-First Search Goal – Node K 𝒂 𝟏𝟎 --- Current Children 𝒂 𝟏𝟎 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒈 𝟑,𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒂 𝟏𝟎 𝒇 𝟕 𝒈 𝟑 𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒆 𝟓 𝒋 𝟖,𝒃 𝟏𝟎 𝒈 𝟑 𝒆 𝟓 𝒆 𝟓 𝒊 𝟔,𝒋 𝟖,𝒃 𝟏𝟎 𝒊 𝟔 𝒋 𝟖,𝒃 𝟏𝟎𝒊 𝟔 𝒊 𝟔 𝒌 𝟎,𝒋 𝟖,𝒃 𝟏𝟎 𝒌 𝟎 𝒋 𝟖,𝒃 𝟏𝟎𝒌 𝟎 Similar to Uniform Cost Just use Heuristic & Avoids Cost Heuristic 5 2 Cost 3 9 Cost: Node to Node Heuristic: Node to Goal
- 100. Greedy Best-First Search Goal – Node K 𝒂 𝟏𝟎 --- Current Children 𝒂 𝟏𝟎 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒈 𝟑,𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒂 𝟏𝟎 𝒇 𝟕 𝒈 𝟑 𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒆 𝟓 𝒋 𝟖,𝒃 𝟏𝟎 𝒈 𝟑 𝒆 𝟓 𝒆 𝟓 𝒊 𝟔,𝒋 𝟖,𝒃 𝟏𝟎 𝒊 𝟔 𝒋 𝟖,𝒃 𝟏𝟎𝒊 𝟔 𝒊 𝟔 𝒌 𝟎,𝒋 𝟖,𝒃 𝟏𝟎 𝒌 𝟎 𝒋 𝟖,𝒃 𝟏𝟎𝒌 𝟎 Similar to Uniform Cost Just use Heuristic & Avoids Cost Heuristic 5 2 Cost 3 9 Total Cost: Node to Node Heuristic: Node to Goal
- 101. Greedy Best-First Search Goal – Node K 𝒂 𝟏𝟎 --- Current Children 𝒂 𝟏𝟎 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒈 𝟑,𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒂 𝟏𝟎 𝒇 𝟕 𝒈 𝟑 𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒆 𝟓 𝒋 𝟖,𝒃 𝟏𝟎 𝒈 𝟑 𝒆 𝟓 𝒆 𝟓 𝒊 𝟔,𝒋 𝟖,𝒃 𝟏𝟎 𝒊 𝟔 𝒋 𝟖,𝒃 𝟏𝟎𝒊 𝟔 𝒊 𝟔 𝒌 𝟎,𝒋 𝟖,𝒃 𝟏𝟎 𝒌 𝟎 𝒋 𝟖,𝒃 𝟏𝟎𝒌 𝟎 Similar to Uniform Cost Just use Heuristic & Avoids Cost Heuristic 5 2 Cost 3 9 Total 8 Cost: Node to Node Heuristic: Node to Goal
- 102. Greedy Best-First Search Goal – Node K 𝒂 𝟏𝟎 --- Current Children 𝒂 𝟏𝟎 𝒇 𝟕, 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒋 𝟖,𝒃 𝟏𝟎 𝒇 𝟕 𝒈 𝟑,𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒂 𝟏𝟎 𝒇 𝟕 𝒈 𝟑 𝒆 𝟓, 𝒋 𝟖,𝒃 𝟏𝟎 𝒆 𝟓 𝒋 𝟖,𝒃 𝟏𝟎 𝒈 𝟑 𝒆 𝟓 𝒆 𝟓 𝒊 𝟔,𝒋 𝟖,𝒃 𝟏𝟎 𝒊 𝟔 𝒋 𝟖,𝒃 𝟏𝟎𝒊 𝟔 𝒊 𝟔 𝒌 𝟎,𝒋 𝟖,𝒃 𝟏𝟎 𝒌 𝟎 𝒋 𝟖,𝒃 𝟏𝟎𝒌 𝟎 Similar to Uniform Cost Just use Heuristic & Avoids Cost Heuristic 5 2 Cost 3 9 Total 8 11 Cost: Node to Node Heuristic: Node to Goal
- 103. A* Search – Combines Heuristic & Cost Goal - Bucharest
- 104. A* Search – Continue Goal -Bucharest
- 105. Arad
- 106. AradArad
- 119. Heuristic Cost 253 140 Total Sibiu Timisoara Zerind Sibiu + = Arad Children +
- 120. Heuristic Cost 253 140 Total 393+ Sibiu Timisoara Zerind Sibiu + = Arad Children =
- 121. Heuristic Cost 253 140 Total 393+ = Sibiu Timisoara Zerind Sibiu + = Arad Children
- 122. Heuristic Cost 253 140 Total 393+ = Sibiu Timisoara Zerind Sibiu + = Arad Children 393
- 123. Heuristic Cost Total Sibiu Timisoara Zerind Timisoara + = Arad Children 393
- 125. Heuristic Cost 329 118 Total + Sibiu Timisoara Zerind Timisoara + = Arad Children 393
- 126. Heuristic Cost 329 118 Total 447+ = Sibiu Timisoara Zerind Timisoara + = Arad Children 393
- 127. Heuristic Cost 329 118 Total 447+ = Sibiu Timisoara Zerind Timisoara + = Arad Children 393 447
- 128. Heuristic Cost Total Sibiu Timisoara Zerind Zerind + = Arad Children 393 447
- 130. Heuristic Cost 374 75 Total + Sibiu Timisoara Zerind Zerind + = Arad Children 393 447
- 131. Heuristic Cost 374 75 Total 449+ = Sibiu Timisoara Zerind Zerind + = Arad Children 393 447
- 132. Heuristic Cost 374 75 Total 449+ = Sibiu Timisoara Zerind Zerind + = Arad Children 393 447 449
- 137. Sibiu
- 138. SibiuSibiu
- 151. Heuristic Cost 366 280 Total + Arad + = Sibiu Children Arad Fagaras Orades Ramnicu
- 152. Heuristic Cost 366 280 Total 646+ = Arad + = Sibiu Children Arad Fagaras Orades Ramnicu
- 153. Heuristic Cost 366 280 Total 646+ = Arad + = Sibiu Children Arad Fagaras Orades Ramnicu 646
- 154. Heuristic Cost Total Fagaras + = Sibiu Children Arad Fagaras Orades Ramnicu 646
- 156. Heuristic Cost 176 239 Total + Fagaras + = Sibiu Children Arad Fagaras Orades Ramnicu 646
- 157. Heuristic Cost 176 239 Total 415+ = Fagaras + = Sibiu Children Arad Fagaras Orades Ramnicu 646
- 158. Heuristic Cost 176 239 Total 415+ = Fagaras + = Sibiu Children Arad Fagaras Orades Ramnicu 646 415
- 159. Heuristic Cost Total Orades + = Sibiu Children Arad Fagaras Orades Ramnicu 646 415
- 161. Heuristic Cost 380 291 Total + Orades + = Sibiu Children Arad Fagaras Orades Ramnicu 646 415
- 162. Heuristic Cost 380 291 Total 671+ = Orades + = Sibiu Children Arad Fagaras Orades Ramnicu 646 415
- 163. Heuristic Cost 380 291 Total 671+ = Orades + = Sibiu Children Arad Fagaras Orades Ramnicu 646 415 671
- 164. Heuristic Cost Total Ramnicu + = Sibiu Children Arad Fagaras Orades Ramnicu 646 415 671
- 166. Heuristic Cost 193 220 Total + + = Sibiu Children Arad Fagaras Orades Ramnicu 646 415 671 Ramnicu
- 167. Heuristic Cost 193 220 Total 413+ = + = Sibiu Children Arad Fagaras Orades Ramnicu 646 415 671 Ramnicu
- 168. Heuristic Cost 193 220 Total 413+ = + = Sibiu Children Arad Fagaras Orades Ramnicu 646 415 671 413 Ramnicu
- 173. Ramnicu
- 174. RamnicuRamnicu
- 186. Heuristic Cost 160 366 Total + Craiova + = Ramnicu Children Craiova Pitesti Sibiu
- 187. Heuristic Cost 160 366 Total 526+ = Craiova + = Ramnicu Children Craiova Pitesti Sibiu
- 188. Heuristic Cost 160 366 Total 526+ = Craiova + = Ramnicu Children 526Craiova Pitesti Sibiu
- 189. Heuristic Cost Total Pitesti + = Ramnicu Children 526Craiova Pitesti Sibiu
- 191. Heuristic Cost 100 317 Total + Pitesti + = Ramnicu Children 526Craiova Pitesti Sibiu
- 192. Heuristic Cost 100 317 Total 417+ = Pitesti + = Ramnicu Children 526Craiova Pitesti Sibiu
- 193. Heuristic Cost 100 317 Total 417+ = Pitesti + = Ramnicu Children 526Craiova Pitesti Sibiu 417
- 194. Heuristic Cost Total Sibiu + = Ramnicu Children 526Craiova Pitesti Sibiu 417
- 196. Heuristic Cost 253 300 Total + Sibiu + = Ramnicu Children 526Craiova Pitesti Sibiu 417
- 197. Heuristic Cost 253 300 Total 553+ = Sibiu + = Ramnicu Children 526Craiova Pitesti Sibiu 417
- 198. Heuristic Cost 253 300 Total 553+ = Sibiu + = Ramnicu Children 526Craiova Pitesti Sibiu 417 553
- 203. Fagaras
- 204. FagarasFagaras
- 209. Sibiu Bucharest FagarasFagaras Fagaras Children Calculate Total Cost Order Asc. Select Min. Cost
- 210. Heuristic Cost Total Sibiu + = Sibiu Bucharest Fagaras Children
- 212. Heuristic Cost 253 338 Total + Sibiu + = Sibiu Bucharest Fagaras Children
- 213. Heuristic Cost 253 338 Total 591+ = Sibiu + = Sibiu Bucharest Fagaras Children
- 214. Heuristic Cost 253 338 Total 591+ = Sibiu + = 591Sibiu Bucharest Fagaras Children
- 215. Heuristic Cost Total Bucharest + = 591Sibiu Bucharest Fagaras Children
- 217. Heuristic Cost 0 450 Total + Bucharest + = 591Sibiu Bucharest Fagaras Children
- 218. Heuristic Cost 0 450 Total 450+ = Bucharest + = 591Sibiu Bucharest Fagaras Children
- 219. Heuristic Cost 0 450 Total 450+ = Bucharest + = 591 450 Sibiu Bucharest Fagaras Children
- 224. Pitesti
- 225. PitestiPetisti
- 232. Heuristic Cost Total Bucharest + = Ramnicu Children Bucharest Craiova Ramnicu
- 234. Heuristic Cost 0 418 Total + Bucharest + = Ramnicu Children Bucharest Craiova Ramnicu
- 235. Heuristic Cost 0 418 Total 418+ = Bucharest + = Ramnicu Children Bucharest Craiova Ramnicu
- 236. Heuristic Cost 0 418 Total 418+ = Bucharest + = Ramnicu Children 418Bucharest Craiova Ramnicu
- 237. Heuristic Cost Total Craiova + = Ramnicu Children 418Bucharest Craiova Ramnicu
- 239. Heuristic Cost 160 455 Total + Craiova + = Ramnicu Children 418Bucharest Craiova Ramnicu
- 240. Heuristic Cost 160 455 Total 615+ = Craiova + = Ramnicu Children 418Bucharest Craiova Ramnicu
- 241. Heuristic Cost 160 455 Total 615+ = Craiova + = Ramnicu Children 418 615 Bucharest Craiova Ramnicu
- 242. Heuristic Cost Total Ramnicu + = Ramnicu Children 418 615 Bucharest Craiova Ramnicu
- 244. Heuristic Cost 193 414 Total + Ramnicu + = Ramnicu Children 418 615 Bucharest Craiova Ramnicu
- 245. Heuristic Cost 193 414 Total 607+ = Ramnicu + = Ramnicu Children 418 615 Bucharest Craiova Ramnicu
- 246. Heuristic Cost 193 414 Total 607+ = Ramnicu + = Ramnicu Children 418 615 607 Bucharest Craiova Ramnicu
- 250. Bucharest
- 251. BucharestBucharest
- 253. Path to Goal