AI Greedy & A* Informed Search Strategies by Example

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Transcript of AI Greedy & A* Informed Search Strategies by Example

AI Greedy BFS & A* Search Strategies by Example

MENOUFIA UNIVERSITYFACULTY OF COMPUTERS AND INFORMATION

ALL DEPARTMENTSARTIFICIAL INTELLIGENCE

جامعة المنوفية

كلية الحاسبات والمعلومات

جميع األقسام

اإلصطناعيالذكاء

جامعة المنوفية

Ahmed Fawzy Gad

ahmed.fawzy@ci.menofia.edu.eg

Greedy Best-First Search

Greedy Best-First SearchGoal – Node K

𝑨𝟒𝟎𝟎 ---

Current Children

Greedy Best-First SearchGoal – Node K

𝑨𝟒𝟎𝟎 ---𝑨𝟒𝟎𝟎

Current Children

Greedy Best-First SearchGoal – Node K

𝑨𝟒𝟎𝟎 ---

𝑨𝟒𝟎𝟎

𝑨𝟒𝟎𝟎

Current Children

Greedy Best-First SearchGoal – Node K

𝑨𝟒𝟎𝟎 ---

𝑨𝟒𝟎𝟎 𝑪𝟏𝟓𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑨𝟒𝟎𝟎

Current Children

Greedy Best-First SearchGoal – Node K

𝑨𝟒𝟎𝟎 ---

𝑨𝟒𝟎𝟎 𝑪𝟏𝟓𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑪𝟏𝟓𝟎

𝑨𝟒𝟎𝟎

Current Children

Greedy Best-First SearchGoal – Node K

𝑨𝟒𝟎𝟎 ---

𝑨𝟒𝟎𝟎 𝑪𝟏𝟓𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑪𝟏𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑨𝟒𝟎𝟎

Current Children

Greedy Best-First SearchGoal – Node K

𝑨𝟒𝟎𝟎 ---

𝑨𝟒𝟎𝟎 𝑪𝟏𝟓𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑪𝟏𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑨𝟒𝟎𝟎

Current Children

𝑪𝟏𝟓𝟎

Greedy Best-First SearchGoal – Node K

𝑨𝟒𝟎𝟎 ---

𝑨𝟒𝟎𝟎 𝑪𝟏𝟓𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑪𝟏𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑪𝟏𝟓𝟎

𝑨𝟒𝟎𝟎

Current Children

𝑪𝟏𝟓𝟎

Greedy Best-First SearchGoal – Node K

𝑨𝟒𝟎𝟎 ---

𝑨𝟒𝟎𝟎 𝑪𝟏𝟓𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑪𝟏𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑪𝟏𝟓𝟎 𝑷𝟏𝟎𝟎,𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑨𝟒𝟎𝟎

𝑪𝟏𝟓𝟎

Current Children

Greedy Best-First SearchGoal – Node K

𝑨𝟒𝟎𝟎 ---

𝑨𝟒𝟎𝟎 𝑪𝟏𝟓𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑪𝟏𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑪𝟏𝟓𝟎 𝑷𝟏𝟎𝟎,𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑨𝟒𝟎𝟎

𝑪𝟏𝟓𝟎

𝑷𝟏𝟎𝟎

Current Children

Greedy Best-First SearchGoal – Node K

𝑨𝟒𝟎𝟎 ---

𝑨𝟒𝟎𝟎 𝑪𝟏𝟓𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑪𝟏𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑪𝟏𝟓𝟎 𝑷𝟏𝟎𝟎,𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑨𝟒𝟎𝟎

𝑪𝟏𝟓𝟎

𝑷𝟏𝟎𝟎 𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

Current Children

Greedy Best-First SearchGoal – Node K

𝑨𝟒𝟎𝟎 ---

𝑨𝟒𝟎𝟎 𝑪𝟏𝟓𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑪𝟏𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑪𝟏𝟓𝟎 𝑷𝟏𝟎𝟎,𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑨𝟒𝟎𝟎

𝑪𝟏𝟓𝟎

𝑷𝟏𝟎𝟎 𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎𝑷𝟏𝟎𝟎

Current Children

Greedy Best-First SearchGoal – Node K

𝑨𝟒𝟎𝟎 ---

𝑨𝟒𝟎𝟎 𝑪𝟏𝟓𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑪𝟏𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑪𝟏𝟓𝟎 𝑷𝟏𝟎𝟎,𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑨𝟒𝟎𝟎

𝑪𝟏𝟓𝟎

𝑷𝟏𝟎𝟎 𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑷𝟏𝟎𝟎

𝑷𝟏𝟎𝟎

Current Children

Greedy Best-First SearchGoal – Node K

𝑨𝟒𝟎𝟎 ---

𝑨𝟒𝟎𝟎 𝑪𝟏𝟓𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑪𝟏𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑪𝟏𝟓𝟎 𝑷𝟏𝟎𝟎,𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑨𝟒𝟎𝟎

𝑪𝟏𝟓𝟎

𝑷𝟏𝟎𝟎 𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑷𝟏𝟎𝟎 𝑹𝟓𝟎,𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑷𝟏𝟎𝟎

Current Children

Greedy Best-First SearchGoal – Node K

𝑨𝟒𝟎𝟎 ---

𝑨𝟒𝟎𝟎 𝑪𝟏𝟓𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑪𝟏𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑪𝟏𝟓𝟎 𝑷𝟏𝟎𝟎,𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑨𝟒𝟎𝟎

𝑪𝟏𝟓𝟎

𝑷𝟏𝟎𝟎 𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑷𝟏𝟎𝟎 𝑹𝟓𝟎,𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑷𝟏𝟎𝟎

𝑹𝟓𝟎

Current Children

Greedy Best-First SearchGoal – Node K

𝑨𝟒𝟎𝟎 ---

𝑨𝟒𝟎𝟎 𝑪𝟏𝟓𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑪𝟏𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑪𝟏𝟓𝟎 𝑷𝟏𝟎𝟎,𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑨𝟒𝟎𝟎

𝑪𝟏𝟓𝟎

𝑷𝟏𝟎𝟎 𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑷𝟏𝟎𝟎 𝑹𝟓𝟎,𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑷𝟏𝟎𝟎

𝑹𝟓𝟎 𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

Current Children

Greedy Best-First SearchGoal – Node K

𝑨𝟒𝟎𝟎 ---

𝑨𝟒𝟎𝟎 𝑪𝟏𝟓𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑪𝟏𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑪𝟏𝟓𝟎 𝑷𝟏𝟎𝟎,𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑨𝟒𝟎𝟎

𝑪𝟏𝟓𝟎

𝑷𝟏𝟎𝟎 𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑷𝟏𝟎𝟎 𝑹𝟓𝟎,𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑷𝟏𝟎𝟎

𝑹𝟓𝟎 𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎𝑹𝟓𝟎

Current Children

Greedy Best-First SearchGoal – Node K

𝑨𝟒𝟎𝟎 ---

𝑨𝟒𝟎𝟎 𝑪𝟏𝟓𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑪𝟏𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑪𝟏𝟓𝟎 𝑷𝟏𝟎𝟎,𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑨𝟒𝟎𝟎

𝑪𝟏𝟓𝟎

𝑷𝟏𝟎𝟎 𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑷𝟏𝟎𝟎 𝑹𝟓𝟎,𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑷𝟏𝟎𝟎

𝑹𝟓𝟎 𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎𝑹𝟓𝟎

𝑸𝟏𝟎𝟎

Current Children

Greedy Best-First SearchGoal – Node K

𝑨𝟒𝟎𝟎 ---

𝑨𝟒𝟎𝟎 𝑪𝟏𝟓𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑪𝟏𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑪𝟏𝟓𝟎 𝑷𝟏𝟎𝟎,𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑨𝟒𝟎𝟎

𝑪𝟏𝟓𝟎

𝑷𝟏𝟎𝟎 𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑷𝟏𝟎𝟎 𝑹𝟓𝟎,𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑷𝟏𝟎𝟎

𝑹𝟓𝟎 𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎𝑹𝟓𝟎

𝑸𝟏𝟎𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

Current Children

Greedy Best-First SearchGoal – Node K

𝑨𝟒𝟎𝟎 ---

𝑨𝟒𝟎𝟎 𝑪𝟏𝟓𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑪𝟏𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑪𝟏𝟓𝟎 𝑷𝟏𝟎𝟎,𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑨𝟒𝟎𝟎

𝑪𝟏𝟓𝟎

𝑷𝟏𝟎𝟎 𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑷𝟏𝟎𝟎 𝑹𝟓𝟎,𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑷𝟏𝟎𝟎

𝑹𝟓𝟎 𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎𝑹𝟓𝟎

𝑸𝟏𝟎𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎𝑸𝟏𝟎𝟎

Current Children

Greedy Best-First SearchGoal – Node K

𝑨𝟒𝟎𝟎 ---

𝑨𝟒𝟎𝟎 𝑪𝟏𝟓𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑪𝟏𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑪𝟏𝟓𝟎 𝑷𝟏𝟎𝟎,𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑨𝟒𝟎𝟎

𝑪𝟏𝟓𝟎

𝑷𝟏𝟎𝟎 𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑷𝟏𝟎𝟎 𝑹𝟓𝟎,𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑷𝟏𝟎𝟎

𝑹𝟓𝟎 𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎𝑹𝟓𝟎

𝑸𝟏𝟎𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑸𝟏𝟎𝟎

𝑸𝟏𝟎𝟎

Current Children

Greedy Best-First SearchGoal – Node K

𝑨𝟒𝟎𝟎 ---

𝑨𝟒𝟎𝟎 𝑪𝟏𝟓𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑪𝟏𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑪𝟏𝟓𝟎 𝑷𝟏𝟎𝟎,𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑨𝟒𝟎𝟎

𝑪𝟏𝟓𝟎

𝑷𝟏𝟎𝟎 𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑷𝟏𝟎𝟎 𝑹𝟓𝟎,𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑷𝟏𝟎𝟎

𝑹𝟓𝟎 𝑸𝟏𝟎𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎𝑹𝟓𝟎

𝑸𝟏𝟎𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎

𝑸𝟏𝟎𝟎 𝑺𝟓𝟎,𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑸𝟏𝟎𝟎

Current Children

Greedy Best-First SearchGoal – Node K

Current Children

𝑺𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

Greedy Best-First SearchGoal – Node K

Current Children

𝑺𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎𝑺𝟓𝟎

Greedy Best-First SearchGoal – Node K

Current Children

𝑺𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎

𝑺𝟓𝟎

Greedy Best-First SearchGoal – Node K

Current Children

𝑺𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎 𝑵𝟏𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎

Greedy Best-First SearchGoal – Node K

Current Children

𝑺𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎 𝑵𝟏𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎

𝑵𝟏𝟎

Greedy Best-First SearchGoal – Node K

Current Children

𝑺𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎 𝑵𝟏𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎

𝑵𝟏𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

Greedy Best-First SearchGoal – Node K

Current Children

𝑺𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎 𝑵𝟏𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎

𝑵𝟏𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎𝑵𝟏𝟎

Greedy Best-First SearchGoal – Node K

Current Children

𝑺𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎 𝑵𝟏𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎

𝑵𝟏𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎𝑵𝟏𝟎

𝑩𝟐𝟓𝟎𝑩𝟐𝟓𝟎

Greedy Best-First SearchGoal – Node K

Current Children

𝑺𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎 𝑵𝟏𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎

𝑵𝟏𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎𝑵𝟏𝟎

𝑩𝟐𝟓𝟎𝑩𝟐𝟓𝟎 𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

Greedy Best-First SearchGoal – Node K

Current Children

𝑺𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎 𝑵𝟏𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎

𝑵𝟏𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎𝑵𝟏𝟎

𝑩𝟐𝟓𝟎𝑩𝟐𝟓𝟎 𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

Greedy Best-First SearchGoal – Node K

Current Children

𝑺𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎 𝑵𝟏𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎

𝑵𝟏𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑩𝟐𝟓𝟎 𝑭𝟐𝟎𝟎,𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑵𝟏𝟎

𝑩𝟐𝟓𝟎𝑩𝟐𝟓𝟎 𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎𝑩𝟐𝟓𝟎

Greedy Best-First SearchGoal – Node K

Current Children

𝑺𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎 𝑵𝟏𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎

𝑵𝟏𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑩𝟐𝟓𝟎 𝑭𝟐𝟎𝟎,𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑵𝟏𝟎

𝑩𝟐𝟓𝟎𝑩𝟐𝟓𝟎 𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎𝑩𝟐𝟓𝟎

Greedy Best-First SearchGoal – Node K

Current Children

𝑺𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎 𝑵𝟏𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎

𝑵𝟏𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑩𝟐𝟓𝟎 𝑭𝟐𝟎𝟎,𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑵𝟏𝟎

𝑭𝟐𝟎𝟎

𝑩𝟐𝟓𝟎𝑩𝟐𝟓𝟎 𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎𝑩𝟐𝟓𝟎

Greedy Best-First SearchGoal – Node K

Current Children

𝑺𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎 𝑵𝟏𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎

𝑵𝟏𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑩𝟐𝟓𝟎 𝑭𝟐𝟎𝟎,𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑵𝟏𝟎

𝑭𝟐𝟎𝟎 𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑩𝟐𝟓𝟎𝑩𝟐𝟓𝟎 𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

Greedy Best-First SearchGoal – Node K

Current Children

𝑺𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎 𝑵𝟏𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎

𝑵𝟏𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑩𝟐𝟓𝟎 𝑭𝟐𝟎𝟎,𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑵𝟏𝟎

𝑭𝟐𝟎𝟎 𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎𝑭𝟐𝟎𝟎

𝑩𝟐𝟓𝟎𝑩𝟐𝟓𝟎 𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

Greedy Best-First SearchGoal – Node K

Current Children

𝑺𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎 𝑵𝟏𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎

𝑵𝟏𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑩𝟐𝟓𝟎 𝑭𝟐𝟎𝟎,𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑵𝟏𝟎

𝑭𝟐𝟎𝟎 𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑭𝟐𝟎𝟎

𝑭𝟐𝟎𝟎

𝑩𝟐𝟓𝟎𝑩𝟐𝟓𝟎 𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

Greedy Best-First SearchGoal – Node K

Current Children

𝑺𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎 𝑵𝟏𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎

𝑵𝟏𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑩𝟐𝟓𝟎 𝑭𝟐𝟎𝟎,𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑵𝟏𝟎

𝑭𝟐𝟎𝟎 𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑭𝟐𝟎𝟎 𝑱𝟏𝟓𝟎,𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑭𝟐𝟎𝟎

𝑩𝟐𝟓𝟎𝑩𝟐𝟓𝟎 𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

Greedy Best-First SearchGoal – Node K

Current Children

𝑺𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎 𝑵𝟏𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎

𝑵𝟏𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑩𝟐𝟓𝟎 𝑭𝟐𝟎𝟎,𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑵𝟏𝟎

𝑭𝟐𝟎𝟎 𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑭𝟐𝟎𝟎 𝑱𝟏𝟓𝟎,𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑭𝟐𝟎𝟎

𝑱𝟏𝟓𝟎

𝑩𝟐𝟓𝟎𝑩𝟐𝟓𝟎 𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

Greedy Best-First SearchGoal – Node K

Current Children

𝑺𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎 𝑵𝟏𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎

𝑵𝟏𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑩𝟐𝟓𝟎 𝑭𝟐𝟎𝟎,𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑵𝟏𝟎

𝑭𝟐𝟎𝟎 𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑭𝟐𝟎𝟎 𝑱𝟏𝟓𝟎,𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑭𝟐𝟎𝟎

𝑱𝟏𝟓𝟎 𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑩𝟐𝟓𝟎𝑩𝟐𝟓𝟎 𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

Greedy Best-First SearchGoal – Node K

Current Children

𝑺𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎 𝑵𝟏𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎

𝑵𝟏𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑩𝟐𝟓𝟎 𝑭𝟐𝟎𝟎,𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑵𝟏𝟎

𝑭𝟐𝟎𝟎 𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑭𝟐𝟎𝟎 𝑱𝟏𝟓𝟎,𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑭𝟐𝟎𝟎

𝑱𝟏𝟓𝟎 𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎𝑱𝟏𝟓𝟎

𝑩𝟐𝟓𝟎𝑩𝟐𝟓𝟎 𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

Greedy Best-First SearchGoal – Node K

Current Children

𝑺𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎 𝑵𝟏𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎

𝑵𝟏𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑩𝟐𝟓𝟎 𝑭𝟐𝟎𝟎,𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑵𝟏𝟎

𝑭𝟐𝟎𝟎 𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑭𝟐𝟎𝟎 𝑱𝟏𝟓𝟎,𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑭𝟐𝟎𝟎

𝑱𝟏𝟓𝟎 𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑱𝟏𝟓𝟎

𝑱𝟏𝟓𝟎

𝑩𝟐𝟓𝟎𝑩𝟐𝟓𝟎 𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

Greedy Best-First SearchGoal – Node K

Current Children

𝑺𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎 𝑵𝟏𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎

𝑵𝟏𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑩𝟐𝟓𝟎 𝑭𝟐𝟎𝟎,𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑵𝟏𝟎

𝑭𝟐𝟎𝟎 𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑭𝟐𝟎𝟎 𝑱𝟏𝟓𝟎,𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑭𝟐𝟎𝟎

𝑱𝟏𝟓𝟎 𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑱𝟏𝟓𝟎 𝒁𝟎,𝑴𝟏𝟎𝟎,𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑱𝟏𝟓𝟎

𝑩𝟐𝟓𝟎𝑩𝟐𝟓𝟎 𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

Greedy Best-First SearchGoal – Node K

Current Children

𝑺𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎 𝑵𝟏𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎

𝑵𝟏𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑩𝟐𝟓𝟎 𝑭𝟐𝟎𝟎,𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑵𝟏𝟎

𝑭𝟐𝟎𝟎 𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑭𝟐𝟎𝟎 𝑱𝟏𝟓𝟎,𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑭𝟐𝟎𝟎

𝑱𝟏𝟓𝟎 𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑱𝟏𝟓𝟎 𝒁𝟎,𝑴𝟏𝟎𝟎,𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑱𝟏𝟓𝟎

𝒁𝟎

𝑩𝟐𝟓𝟎𝑩𝟐𝟓𝟎 𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

Greedy Best-First SearchGoal – Node K

Current Children

𝑺𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎 𝑵𝟏𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎

𝑵𝟏𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑩𝟐𝟓𝟎 𝑭𝟐𝟎𝟎,𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑵𝟏𝟎

𝑭𝟐𝟎𝟎 𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑭𝟐𝟎𝟎 𝑱𝟏𝟓𝟎,𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑭𝟐𝟎𝟎

𝑱𝟏𝟓𝟎 𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑱𝟏𝟓𝟎 𝒁𝟎,𝑴𝟏𝟎𝟎,𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑱𝟏𝟓𝟎

𝒁𝟎 𝑴𝟏𝟎𝟎,𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑩𝟐𝟓𝟎𝑩𝟐𝟓𝟎 𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

Greedy Best-First SearchGoal – Node K

Current Children

𝑺𝟓𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎 𝑵𝟏𝟎, 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑺𝟓𝟎

𝑵𝟏𝟎 𝑩𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑩𝟐𝟓𝟎 𝑭𝟐𝟎𝟎,𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑵𝟏𝟎

𝑭𝟐𝟎𝟎 𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑭𝟐𝟎𝟎 𝑱𝟏𝟓𝟎,𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑭𝟐𝟎𝟎

𝑱𝟏𝟓𝟎 𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑱𝟏𝟓𝟎 𝒁𝟎,𝑴𝟏𝟎𝟎,𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑱𝟏𝟓𝟎

𝒁𝟎 𝑴𝟏𝟎𝟎,𝑬𝟐𝟓𝟎,𝑫𝟑𝟎𝟎, 𝑮𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

𝑩𝟐𝟓𝟎

𝒁𝟎

𝑩𝟐𝟓𝟎 𝑫𝟑𝟎𝟎, 𝑻𝟑𝟓𝟎

Goal Path

A* Search

A

AA

A Children

B

AA

A Children

B

C

AA

A Children

B

C

D

AA

A Children

B

C

D

AA

A Children

Calculate Total Cost

B

C

D

AA

A Children

Calculate Total Cost

Order Asc.

B

C

D

AA

A Children

Calculate Total Cost

Order Asc.

Select Min. Cost

B

C

D

B

A Children

Heuristic

B

C

D

B

A Children

Heuristic Cost

B

C

D

B

+

A Children

Heuristic Cost Total

B

C

D

B

+

A Children

=

Heuristic Cost

250

Total

B

C

D

B

+

A Children

=

Heuristic Cost

250 150

Total

+

B

C

D

B

+ =

A Children

Heuristic Cost

250 150

Total

400+ =

B

C

D

B

+ =

A Children

Heuristic Cost

250 150

Total

400+ =

B

C

D

B

+ =

A Children

400

Heuristic Cost Total

B

C

D

C

+ =

A Children

400

Heuristic Cost

150

Total

B

C

D

C

+ =

A Children

400

Heuristic Cost

150 100

Total

+

B

C

D

C

+ =

A Children

400

Heuristic Cost

150 100

Total

250+ =

B

C

D

C

+ =

A Children

400

Heuristic Cost

150 100

Total

250+ =

B

C

D

C

+ =

A Children

400

Heuristic Cost

150 100

Total

250+ =

B

C

D

C

+ =

A Children

400

250

Heuristic Cost Total

B

C

D

D

+ =

A Children

400

250

Heuristic Cost

300

Total

B

C

D

D

+ =

A Children

400

250

Heuristic Cost

300 50

Total

+

B

C

D

D

+ =

A Children

400

250

Heuristic Cost

300 50

Total

350+ =

B

C

D

D

+ =

A Children

400

250

Heuristic Cost

300 50

Total

350+ =

B

C

D

D

+ =

A Children

400

250

Heuristic Cost

300 50

Total

350+ =

B

C

D

D

+ =

A Children

400

250

350

Current Queue

C

250

D

350

B

400

C

250

C

CC

C Children

P

CC

C Children

P

Q

CC

C Children

P

Q

CC

C Children

Calculate Total Cost

P

Q

CC

C Children

Calculate Total Cost

Order Asc.

P

Q

CC

C Children

Calculate Total Cost

Order Asc.

Select Min. Cost

P

C Children

P

Q

Heuristic

P

C Children

P

Q

Heuristic Cost

P

+

C Children

P

Q

Heuristic Cost Total

P

+

C Children

P

Q

=

Heuristic Cost

100

Total

P

+

C Children

P

Q

=

Heuristic Cost

100 105

Total

+

P

+ =

C Children

P

Q

Heuristic Cost

100 105

Total

205+ =

P

+ =

C Children

P

Q

Heuristic Cost

100 105

Total

205+ =

P

+ =

C Children

205P

Q

Heuristic Cost Total

Q

+ =

C Children

205P

Q

Heuristic Cost

100

Total

Q

+ =

C Children

205P

Q

Heuristic Cost

100 115

Total

+

Q

+ =

C Children

205P

Q

Heuristic Cost

100 115

Total

215+ =

Q

+ =

C Children

205P

Q

Heuristic Cost

100 115

Total

215+ =

Q

+ =

C Children

205

215

P

Q

Current Queue

D

350

B

400

P

205

Q

215

Current Queue

D

350

B

400

P

205

Q

215

P

205

P

PP

P Children

R

PP

P Children

R

PP

P Children

Calculate Total Cost

R

PP

P Children

Calculate Total Cost

Order Asc.

R

PP

P Children

Calculate Total Cost

Order Asc.

Select Min. Cost

R

PChildren

R

Heuristic

R

PChildren

R

Heuristic Cost

R

+

PChildren

R

Heuristic Cost Total

R

+

PChildren

R

=

Heuristic Cost

50

Total

R

+

PChildren

R

=

Heuristic Cost

50 405

Total

+

R

+ =

PChildren

R

Heuristic Cost

50 405

Total

455+ =

R

+ =

PChildren

R

Heuristic Cost

50 405

Total

455+ =

R

+ =

PChildren

455R

Current Queue

D

350

Q

215

B

400

R

455

Current Queue

D

350

Q

215

B

400

R

455

Q

215

Q

QQ

Q Children

S

QQ

Q Children

S

T

QQ

Q Children

S

T

QQ

Q Children

Calculate Total Cost

S

T

QQ

Q Children

Calculate Total Cost

Order Asc.

S

T

QQ

Q Children

Calculate Total Cost

Order Asc.

Select Min. Cost

Heuristic Cost Total

S

+ =

Q Children

S

T

Heuristic Cost

50

Total

S

+ =

Q Children

S

T

Heuristic Cost

50 150

Total

+

S

+ =

Q Children

S

T

Heuristic Cost

50 150

Total

200+ =

S

+ =

Q Children

S

T

Heuristic Cost

50 150

Total

200+ =

S

+ =

200

Q Children

S

T

Heuristic Cost Total

T

+ =

200

Q Children

S

T

Heuristic Cost

350

Total

T

+ =

200

Q Children

S

T

Heuristic Cost

350 120

Total

+

T

+ =

200

Q Children

S

T

Heuristic Cost

350 120

Total

470+ =

T

+ =

200

Q Children

S

T

Heuristic Cost

350 120

Total

470+ =

T

+ =

200

470

Q Children

S

T

Current Queue

D

350

S

200

T

470

B

400

R

455

Current Queue

D

350

S

200

T

470

B

400

R

455

S

200

S

SS

SChildren

N

SS

SChildren

N

SS

SChildren

Calculate Total Cost

N

SS

SChildren

Calculate Total Cost

Order Asc.

N

SS

SChildren

Calculate Total Cost

Order Asc.

Select Min. Cost

Heuristic Cost Total

N

+ =

SChildren

N

Heuristic Cost

10

Total

N

+ =

SChildren

N

Heuristic Cost

10 155

Total

+

N

+ =

SChildren

N

Heuristic Cost

10 155

Total

165+ =

N

+ =

SChildren

N

Heuristic Cost

10 155

Total

165+ =

N

+ =

SChildren

165N

Current Queue

D

350

N

165

T

470

B

400

R

455

Current Queue

D

350

N

165

T

470

B

400

R

455

N

165

N

NN

Current Queue

D

350

T

470

B

400

R

455

Current Queue

D

350

T

470

B

400

R

455

D

350

D

DD

D Children

V

DD

D Children

V

W

DD

D Children

V

W

DD

D Children

Calculate Total Cost

V

W

DD

D Children

Calculate Total Cost

Order Asc.

V

W

DD

D Children

Calculate Total Cost

Order Asc.

Select Min. Cost

Heuristic Cost Total

V

+ =

D Children

V

W

Heuristic Cost

200

Total

V

+ =

D Children

V

W

Heuristic Cost

200 100

Total

+

V

+ =

D Children

V

W

Heuristic Cost

200 100

Total

300+ =

V

+ =

D Children

V

W

Heuristic Cost

200 100

Total

300+ =

V

+ =

300

D Children

V

W

Heuristic Cost Total

W

+ =

300

D Children

V

W

Heuristic Cost

150

Total

W

+ =

300

D Children

V

W

Heuristic Cost

150 60

Total

+

W

+ =

300

D Children

V

W

Heuristic Cost

150 60

Total

210+ =

W

+ =

300

D Children

V

W

Heuristic Cost

150 60

Total

210+ =

W

+ =

300

210

D Children

V

W

Current Queue

V

300

T

470

W

210

B

400

R

455

Current Queue

V

300

T

470

W

210

B

400

R

455

W

WW

WChildren

Y

WW

WChildren

Y

WW

WChildren

Calculate Total Cost

Y

WW

WChildren

Calculate Total Cost

Order Asc.

Y

WW

WChildren

Calculate Total Cost

Order Asc.

Select Min. Cost

Heuristic Cost Total

Y

+ =

WChildren

Y

Heuristic Cost

50

Total

Y

+ =

WChildren

Y

Heuristic Cost

50 360

Total

+

Y

+ =

WChildren

Y

Heuristic Cost

50 360

Total

410+ =

Y

+ =

WChildren

Y

Heuristic Cost

50 360

Total

410+ =

Y

+ =

WChildren

410Y

Current Queue

V

300

T

470

Y

410

B

400

R

455

Current Queue

V

300

T

470

Y

410

B

400

R

455

V

VV

VChildren

X

VV

VChildren

X

VV

VChildren

Calculate Total Cost

X

VV

VChildren

Calculate Total Cost

Order Asc.

X

VV

VChildren

Calculate Total Cost

Order Asc.

Select Min. Cost

Heuristic Cost Total

X

+ =

VChildren

X

Heuristic Cost

100

Total

X

+ =

VChildren

X

Heuristic Cost

100 110

Total

+

X

+ =

VChildren

X

Heuristic Cost

100 110

Total

210+ =

X

+ =

VChildren

X

Heuristic Cost

100 110

Total

210+ =

X

+ =

VChildren

210X

Current Queue

X

210

T

470

Y

410

B

400

R

455

Current Queue

X

210

T

470

Y

410

B

400

R

455

X

XX

XChildren

Z

XX

XChildren

Z

XX

XChildren

Calculate Total Cost

Z

XX

XChildren

Calculate Total Cost

Order Asc.

Z

XX

XChildren

Calculate Total Cost

Order Asc.

Select Min. Cost

Heuristic Cost Total

Z

+ =

XChildren

Z

Heuristic Cost

0

Total

Z

+ =

XChildren

Z

Heuristic Cost

0 125

Total

+

Z

+ =

XChildren

Z

Heuristic Cost

0 125

Total

125+ =

Z

+ =

XChildren

Z

Heuristic Cost

0 125

Total

125+ =

Z

+ =

XChildren

125Z

Current Queue

Z

125

B

400

R

455

T

470

Y

410

Current Queue

Z

125

B

400

R

455

T

470

Y

410

Z

ZZ

ZZ

GOAL

Goal Path