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AI Informed Search Strategies by Examples
MENOUFIA UNIVERSITYFACULTY OF COMPUTERS AND INFORMATION
ALL DEPARTMENTSARTIFICIAL INTELLIGENCE
جامعة المنوفية
كلية الحاسبات والمعلومات
جميع األقسام
اإلصطناعيالذكاء
جامعة المنوفية
Ahmed Fawzy Gad
Uninformed Search Vs. Informed Search ORHeuristically Informed Search
Uninformed Search Vs. Informed Search ORHeuristically Informed Search
Uninformed Search Vs. Informed Search ORHeuristically Informed Search
Uninformed Search Vs. Informed Search ORHeuristically Informed Search
Heuristic Evaluation Function
Uninformed Search Vs. Informed Search ORHeuristically Informed Search
Heuristic Evaluation Function
Uninformed Search Vs. Informed Search ORHeuristically Informed Search
Heuristic Evaluation Function
Heuristic Value
Uninformed Search Vs. Informed Search ORHeuristically Informed Search
Heuristic Evaluation Function
Heuristic Value
Small Heuristic Value
Better Path
Uninformed Search Vs. Informed Search ORHeuristically Informed Search
Heuristic Evaluation Function
Heuristic Value
Small Heuristic Value
Better Path
h(C)
Uninformed Search Vs. Informed Search ORHeuristically Informed Search
Heuristic Evaluation Function
Heuristic Value
Small Heuristic Value
Better Path
h(C) h(B)
Uninformed Search Vs. Informed Search ORHeuristically Informed Search
Heuristic Evaluation Function
Heuristic Value
Small Heuristic Value
Better Path
h(C) h(B)<
Uninformed Search Vs. Informed Search ORHeuristically Informed Search
Heuristic Evaluation Function
Heuristic Value
Small Heuristic Value
Better Path
h(C) h(B)<C
Uninformed Search Vs. Informed Search ORHeuristically Informed Search
Heuristic Evaluation Function
Heuristic Value
Small Heuristic Value
Better Path
h(C) h(B)<C
Uninformed SearchNO INFORMATION
Direct SearchBEST PATH
Heuristic Evaluation Function
• Good heuristic evaluation function is what directs search to reachgoal with the smallest number of nodes.
• Good heuristic evaluation function is not time consuming in theheuristic value calculation.
𝒉𝟏𝑯𝒆𝒖𝒓𝒊𝒔𝒕𝒊𝒄 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏
Heuristic Evaluation Function
• Good heuristic evaluation function is what directs search to reachgoal with the smallest number of nodes.
• Good heuristic evaluation function is not time consuming in theheuristic value calculation.
𝒉𝟏 𝒉𝟐𝑯𝒆𝒖𝒓𝒊𝒔𝒕𝒊𝒄 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏
Heuristic Evaluation Function
• Good heuristic evaluation function is what directs search to reachgoal with the smallest number of nodes.
• Good heuristic evaluation function is not time consuming in theheuristic value calculation.
𝒉𝟏 𝒉𝟐𝑯𝒆𝒖𝒓𝒊𝒔𝒕𝒊𝒄 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏
# 𝒐𝒇 𝑵𝒐𝒅𝒆𝒔
Heuristic Evaluation Function
• Good heuristic evaluation function is what directs search to reachgoal with the smallest number of nodes.
• Good heuristic evaluation function is not time consuming in theheuristic value calculation.
𝒉𝟏 𝒉𝟐𝟓
𝑯𝒆𝒖𝒓𝒊𝒔𝒕𝒊𝒄 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏
# 𝒐𝒇 𝑵𝒐𝒅𝒆𝒔
Heuristic Evaluation Function
• Good heuristic evaluation function is what directs search to reachgoal with the smallest number of nodes.
• Good heuristic evaluation function is not time consuming in theheuristic value calculation.
𝒉𝟏 𝒉𝟐𝟓 𝟕
𝑯𝒆𝒖𝒓𝒊𝒔𝒕𝒊𝒄 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏
# 𝒐𝒇 𝑵𝒐𝒅𝒆𝒔
Heuristic Evaluation Function
• Good heuristic evaluation function is what directs search to reachgoal with the smallest number of nodes.
• Good heuristic evaluation function is not time consuming in theheuristic value calculation.
𝒉𝟏 𝒉𝟐𝟓 𝟕
𝒉𝟏𝑯𝒆𝒖𝒓𝒊𝒔𝒕𝒊𝒄 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏
# 𝒐𝒇 𝑵𝒐𝒅𝒆𝒔
Heuristic Evaluation Function
• Good heuristic evaluation function is what directs search to reachgoal with the smallest number of nodes.
• Good heuristic evaluation function is not time consuming in theheuristic value calculation.
𝒉𝟏 𝒉𝟐𝟓 𝟕
𝒉𝟏𝟓
𝑯𝒆𝒖𝒓𝒊𝒔𝒕𝒊𝒄 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏
# 𝒐𝒇 𝑵𝒐𝒅𝒆𝒔
Heuristic Evaluation Function
• Good heuristic evaluation function is what directs search to reachgoal with the smallest number of nodes.
• Good heuristic evaluation function is not time consuming in theheuristic value calculation.
𝒉𝟏 𝒉𝟐𝟓 𝟕
𝒉𝟏𝟓
𝒉𝟏
𝑯𝒆𝒖𝒓𝒊𝒔𝒕𝒊𝒄 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏
# 𝒐𝒇 𝑵𝒐𝒅𝒆𝒔
𝑯𝒆𝒖𝒓𝒊𝒔𝒕𝒊𝒄 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏
Heuristic Evaluation Function
• Good heuristic evaluation function is what directs search to reachgoal with the smallest number of nodes.
• Good heuristic evaluation function is not time consuming in theheuristic value calculation.
𝒉𝟏 𝒉𝟐𝟓 𝟕
𝒉𝟏𝟓
𝒉𝟏 𝒉𝟐
𝑯𝒆𝒖𝒓𝒊𝒔𝒕𝒊𝒄 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏
# 𝒐𝒇 𝑵𝒐𝒅𝒆𝒔
𝑯𝒆𝒖𝒓𝒊𝒔𝒕𝒊𝒄 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏
𝑻𝒊𝒎𝒆
Heuristic Evaluation Function
• Good heuristic evaluation function is what directs search to reachgoal with the smallest number of nodes.
• Good heuristic evaluation function is not time consuming in theheuristic value calculation.
𝒉𝟏 𝒉𝟐𝟓 𝟕
𝒉𝟏𝟓
𝒉𝟏 𝒉𝟐𝟔𝟎𝒔
𝑯𝒆𝒖𝒓𝒊𝒔𝒕𝒊𝒄 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏
# 𝒐𝒇 𝑵𝒐𝒅𝒆𝒔
𝑯𝒆𝒖𝒓𝒊𝒔𝒕𝒊𝒄 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏
𝑻𝒊𝒎𝒆
Heuristic Evaluation Function
• Good heuristic evaluation function is what directs search to reachgoal with the smallest number of nodes.
• Good heuristic evaluation function is not time consuming in theheuristic value calculation.
𝒉𝟏 𝒉𝟐𝟓 𝟕
𝒉𝟏𝟓
𝒉𝟏 𝒉𝟐𝟔𝟎𝒔 𝟏𝟎𝒔
𝑯𝒆𝒖𝒓𝒊𝒔𝒕𝒊𝒄 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏
# 𝒐𝒇 𝑵𝒐𝒅𝒆𝒔
𝑯𝒆𝒖𝒓𝒊𝒔𝒕𝒊𝒄 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏
𝑻𝒊𝒎𝒆
Heuristic Evaluation Function
• Good heuristic evaluation function is what directs search to reachgoal with the smallest number of nodes.
• Good heuristic evaluation function is not time consuming in theheuristic value calculation.
𝒉𝟏 𝒉𝟐𝟓 𝟕
𝒉𝟏𝟓
𝒉𝟏 𝒉𝟐𝟔𝟎𝒔 𝟏𝟎𝒔
𝒉𝟐
𝑯𝒆𝒖𝒓𝒊𝒔𝒕𝒊𝒄 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏
# 𝒐𝒇 𝑵𝒐𝒅𝒆𝒔
𝑯𝒆𝒖𝒓𝒊𝒔𝒕𝒊𝒄 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏
𝑻𝒊𝒎𝒆
Heuristic Evaluation Function
• Good heuristic evaluation function is what directs search to reachgoal with the smallest number of nodes.
• Good heuristic evaluation function is not time consuming in theheuristic value calculation.
𝒉𝟏 𝒉𝟐𝟓 𝟕
𝒉𝟏𝟓
𝒉𝟏 𝒉𝟐𝟔𝟎𝒔 𝟏𝟎𝒔
𝒉𝟐
𝟏𝟎𝒔
𝑯𝒆𝒖𝒓𝒊𝒔𝒕𝒊𝒄 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏
# 𝒐𝒇 𝑵𝒐𝒅𝒆𝒔
𝑯𝒆𝒖𝒓𝒊𝒔𝒕𝒊𝒄 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏
𝑻𝒊𝒎𝒆
Hill ClimbingGoal – Node G
S ---
Current Children
Hill ClimbingGoal – Node G
S ---
Current Children
S
Hill ClimbingGoal – Node G
S ---
Current Children
S
S
Hill ClimbingGoal – Node G
S ---
Current Children
S 𝑫𝟖.𝟗, 𝑨𝟏𝟎.𝟒
S
Hill ClimbingGoal – Node G
S ---
Current Children
S 𝑫𝟖.𝟗, 𝑨𝟏𝟎.𝟒
D
S
Hill ClimbingGoal – Node G
S ---
Current Children
S 𝑫𝟖.𝟗, 𝑨𝟏𝟎.𝟒
D ---
S
Hill ClimbingGoal – Node G
S ---
Current Children
S 𝑫𝟖.𝟗, 𝑨𝟏𝟎.𝟒
D ---
S
D
Hill ClimbingGoal – Node G
S ---
Current Children
S 𝑫𝟖.𝟗, 𝑨𝟏𝟎.𝟒
D ---
D
S
D
Hill ClimbingGoal – Node G
S ---
Current Children
S 𝑫𝟖.𝟗, 𝑨𝟏𝟎.𝟒
D ---
D 𝑬𝟔.𝟗, 𝑨𝟏𝟎.𝟒
S
D
Hill ClimbingGoal – Node G
S ---
Current Children
S 𝑫𝟖.𝟗, 𝑨𝟏𝟎.𝟒
D ---
D 𝑬𝟔.𝟗, 𝑨𝟏𝟎.𝟒
E
S
D
Hill ClimbingGoal – Node G
S ---
Current Children
S 𝑫𝟖.𝟗, 𝑨𝟏𝟎.𝟒
D ---
D 𝑬𝟔.𝟗, 𝑨𝟏𝟎.𝟒
E ---
S
D
Hill ClimbingGoal – Node G
S ---
Current Children
S 𝑫𝟖.𝟗, 𝑨𝟏𝟎.𝟒
D ---
D 𝑬𝟔.𝟗, 𝑨𝟏𝟎.𝟒
E ---
S
D
E
Hill ClimbingGoal – Node G
S ---
Current Children
S 𝑫𝟖.𝟗, 𝑨𝟏𝟎.𝟒
D ---
D 𝑬𝟔.𝟗, 𝑨𝟏𝟎.𝟒
E ---
E
S
D
E
Hill ClimbingGoal – Node G
S ---
Current Children
S 𝑫𝟖.𝟗, 𝑨𝟏𝟎.𝟒
D ---
D 𝑬𝟔.𝟗, 𝑨𝟏𝟎.𝟒
E ---
E 𝑭𝟑.𝟎, 𝑩𝟔.𝟕
S
D
E
Hill ClimbingGoal – Node G
S ---
Current Children
S 𝑫𝟖.𝟗, 𝑨𝟏𝟎.𝟒
D ---
D 𝑬𝟔.𝟗, 𝑨𝟏𝟎.𝟒
E ---
E 𝑭𝟑.𝟎, 𝑩𝟔.𝟕
F
S
D
E
Hill ClimbingGoal – Node G
S ---
Current Children
S 𝑫𝟖.𝟗, 𝑨𝟏𝟎.𝟒
D ---
D 𝑬𝟔.𝟗, 𝑨𝟏𝟎.𝟒
E ---
E 𝑭𝟑.𝟎, 𝑩𝟔.𝟕
F ---
S
D
E
Hill ClimbingGoal – Node G
S ---
Current Children
S 𝑫𝟖.𝟗, 𝑨𝟏𝟎.𝟒
D ---
D 𝑬𝟔.𝟗, 𝑨𝟏𝟎.𝟒
E ---
E 𝑭𝟑.𝟎, 𝑩𝟔.𝟕
F ---
S
D
E
F
Hill ClimbingGoal – Node G
S ---
Current Children
S 𝑫𝟖.𝟗, 𝑨𝟏𝟎.𝟒
D ---
D 𝑬𝟔.𝟗, 𝑨𝟏𝟎.𝟒
E ---
E 𝑭𝟑.𝟎, 𝑩𝟔.𝟕
F ---
F
S
D
E
F
Hill ClimbingGoal – Node G
S ---
Current Children
S 𝑫𝟖.𝟗, 𝑨𝟏𝟎.𝟒
D ---
D 𝑬𝟔.𝟗, 𝑨𝟏𝟎.𝟒
E ---
E 𝑭𝟑.𝟎, 𝑩𝟔.𝟕
F ---
F G
S
D
E
F
Hill ClimbingGoal – Node G
S ---
Current Children
S 𝑫𝟖.𝟗, 𝑨𝟏𝟎.𝟒
D ---
D 𝑬𝟔.𝟗, 𝑨𝟏𝟎.𝟒
E ---
E 𝑭𝟑.𝟎, 𝑩𝟔.𝟕
F ---
F G
S
D
E
F
Hill ClimbingGoal – Node G
S ---
Current Children
S 𝑫𝟖.𝟗, 𝑨𝟏𝟎.𝟒
D ---
D 𝑬𝟔.𝟗, 𝑨𝟏𝟎.𝟒
E ---
E 𝑭𝟑.𝟎, 𝑩𝟔.𝟕
F ---
F G
S
D
E
F
G
Hill ClimbingGoal – Node G
S ---
Current Children
S 𝑫𝟖.𝟗, 𝑨𝟏𝟎.𝟒
D ---
D 𝑬𝟔.𝟗, 𝑨𝟏𝟎.𝟒
E ---
E 𝑭𝟑.𝟎, 𝑩𝟔.𝟕
F ---
F G
S
D
E
F
G ---
Hill ClimbingGoal – Node G
S ---
Current Children
S 𝑫𝟖.𝟗, 𝑨𝟏𝟎.𝟒
D ---
D 𝑬𝟔.𝟗, 𝑨𝟏𝟎.𝟒
E ---
E 𝑭𝟑.𝟎, 𝑩𝟔.𝟕
F ---
F G
S
D
E
F
GG ---
Hill ClimbingGoal – Node KLocal Maxima a ---
Current Children
Hill ClimbingGoal – Node KLocal Maxima a ---
Current Children
a
Hill ClimbingGoal – Node KLocal Maxima a ---
Current Children
a
a
Hill ClimbingGoal – Node KLocal Maxima a ---
Current Children
a 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
a
Hill ClimbingGoal – Node KLocal Maxima a ---
Current Children
a 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
f
a
Hill ClimbingGoal – Node KLocal Maxima a ---
Current Children
a 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
f ---
a
Hill ClimbingGoal – Node KLocal Maxima a ---
Current Children
a 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
f ---
a
f
Hill ClimbingGoal – Node KLocal Maxima a ---
Current Children
a 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
f ---
f
a
f
Hill ClimbingGoal – Node KLocal Maxima a ---
Current Children
a 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
f ---
f 𝒈𝟑, 𝒆𝟓
a
f
Hill ClimbingGoal – Node KLocal Maxima a ---
Current Children
a 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
f ---
f 𝒈𝟑, 𝒆𝟓
a
f
g
Hill ClimbingGoal – Node KLocal Maxima a ---
Current Children
a 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
f ---
f 𝒈𝟑, 𝒆𝟓
a
f
g ---
Hill ClimbingGoal – Node KLocal Maxima a ---
Current Children
a 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
f ---
f 𝒈𝟑, 𝒆𝟓
a
f
g ---g
Hill ClimbingGoal – Node KLocal Maxima a ---
Current Children
a 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
f ---
f 𝒈𝟑, 𝒆𝟓
a
f
g ---
g
g
Hill ClimbingGoal – Node KLocal Maxima a ---
Current Children
a 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
f ---
f 𝒈𝟑, 𝒆𝟓
a
f
g ---
g ---
g
Hill ClimbingGoal – Node KLocal Maxima a ---
Current Children
a 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
f ---
f 𝒈𝟑, 𝒆𝟓
a
f
g ---
g ---
g
Search FinishedNo GOAL
Hill ClimbingGoal – Node KLocal Maxima a ---
Current Children
a 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
f ---
f 𝒈𝟑, 𝒆𝟓
a
f
g ---
g ---
g
Search FinishedNo GOAL
Greedy Best-First SearchGoal – Node K
𝒂𝟏𝟎 ---
Current Children
Greedy Best-First SearchGoal – Node K
𝒂𝟏𝟎 ---
Current Children
𝒂𝟏𝟎
Greedy Best-First SearchGoal – Node K
𝒂𝟏𝟎 ---
Current Children
𝒂𝟏𝟎
𝒂𝟏𝟎
Greedy Best-First SearchGoal – Node K
𝒂𝟏𝟎 ---
Current Children
𝒂𝟏𝟎 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
𝒂𝟏𝟎
Greedy Best-First SearchGoal – Node K
𝒂𝟏𝟎 ---
Current Children
𝒂𝟏𝟎 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕
𝒂𝟏𝟎
Greedy Best-First SearchGoal – Node K
𝒂𝟏𝟎 ---
Current Children
𝒂𝟏𝟎 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒋𝟖,𝒃𝟏𝟎
𝒂𝟏𝟎
Greedy Best-First SearchGoal – Node K
𝒂𝟏𝟎 ---
Current Children
𝒂𝟏𝟎 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒋𝟖,𝒃𝟏𝟎
𝒂𝟏𝟎
𝒇𝟕
Greedy Best-First SearchGoal – Node K
𝒂𝟏𝟎 ---
Current Children
𝒂𝟏𝟎 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕
𝒂𝟏𝟎
𝒇𝟕
Greedy Best-First SearchGoal – Node K
𝒂𝟏𝟎 ---
Current Children
𝒂𝟏𝟎 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒈𝟑,𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒂𝟏𝟎
𝒇𝟕
Greedy Best-First SearchGoal – Node K
𝒂𝟏𝟎 ---
Current Children
𝒂𝟏𝟎 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒈𝟑,𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒂𝟏𝟎
𝒇𝟕
𝒈𝟑
Greedy Best-First SearchGoal – Node K
𝒂𝟏𝟎 ---
Current Children
𝒂𝟏𝟎 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒈𝟑,𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒂𝟏𝟎
𝒇𝟕
𝒈𝟑 𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
Greedy Best-First SearchGoal – Node K
𝒂𝟏𝟎 ---
Current Children
𝒂𝟏𝟎 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒈𝟑,𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒂𝟏𝟎
𝒇𝟕
𝒈𝟑 𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒆𝟓
𝒈𝟑
Greedy Best-First SearchGoal – Node K
𝒂𝟏𝟎 ---
Current Children
𝒂𝟏𝟎 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒈𝟑,𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒂𝟏𝟎
𝒇𝟕
𝒈𝟑 𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎𝒈𝟑
Greedy Best-First SearchGoal – Node K
𝒂𝟏𝟎 ---
Current Children
𝒂𝟏𝟎 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒈𝟑,𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒂𝟏𝟎
𝒇𝟕
𝒈𝟑 𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒆𝟓
𝒈𝟑
Greedy Best-First SearchGoal – Node K
𝒂𝟏𝟎 ---
Current Children
𝒂𝟏𝟎 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒈𝟑,𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒂𝟏𝟎
𝒇𝟕
𝒈𝟑 𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒆𝟓 𝒋𝟖,𝒃𝟏𝟎
𝒈𝟑
Greedy Best-First SearchGoal – Node K
𝒂𝟏𝟎 ---
Current Children
𝒂𝟏𝟎 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒈𝟑,𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒂𝟏𝟎
𝒇𝟕
𝒈𝟑 𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒆𝟓 𝒋𝟖,𝒃𝟏𝟎
𝒈𝟑
𝒆𝟓
Greedy Best-First SearchGoal – Node K
𝒂𝟏𝟎 ---
Current Children
𝒂𝟏𝟎 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒈𝟑,𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒂𝟏𝟎
𝒇𝟕
𝒈𝟑 𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒆𝟓 𝒋𝟖,𝒃𝟏𝟎
𝒈𝟑
𝒆𝟓
𝒆𝟓
Greedy Best-First SearchGoal – Node K
𝒂𝟏𝟎 ---
Current Children
𝒂𝟏𝟎 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒈𝟑,𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒂𝟏𝟎
𝒇𝟕
𝒈𝟑 𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒆𝟓 𝒋𝟖,𝒃𝟏𝟎
𝒈𝟑
𝒆𝟓
𝒆𝟓 𝒊𝟔,𝒋𝟖,𝒃𝟏𝟎
Greedy Best-First SearchGoal – Node K
𝒂𝟏𝟎 ---
Current Children
𝒂𝟏𝟎 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒈𝟑,𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒂𝟏𝟎
𝒇𝟕
𝒈𝟑 𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒆𝟓 𝒋𝟖,𝒃𝟏𝟎
𝒈𝟑
𝒆𝟓
𝒆𝟓 𝒊𝟔,𝒋𝟖,𝒃𝟏𝟎
𝒊𝟔
Greedy Best-First SearchGoal – Node K
𝒂𝟏𝟎 ---
Current Children
𝒂𝟏𝟎 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒈𝟑,𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒂𝟏𝟎
𝒇𝟕
𝒈𝟑 𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒆𝟓 𝒋𝟖,𝒃𝟏𝟎
𝒈𝟑
𝒆𝟓
𝒆𝟓 𝒊𝟔,𝒋𝟖,𝒃𝟏𝟎
𝒊𝟔 𝒋𝟖,𝒃𝟏𝟎
Greedy Best-First SearchGoal – Node K
𝒂𝟏𝟎 ---
Current Children
𝒂𝟏𝟎 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒈𝟑,𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒂𝟏𝟎
𝒇𝟕
𝒈𝟑 𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒆𝟓 𝒋𝟖,𝒃𝟏𝟎
𝒈𝟑
𝒆𝟓
𝒆𝟓 𝒊𝟔,𝒋𝟖,𝒃𝟏𝟎
𝒊𝟔 𝒋𝟖,𝒃𝟏𝟎𝒊𝟔
Greedy Best-First SearchGoal – Node K
𝒂𝟏𝟎 ---
Current Children
𝒂𝟏𝟎 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒈𝟑,𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒂𝟏𝟎
𝒇𝟕
𝒈𝟑 𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒆𝟓 𝒋𝟖,𝒃𝟏𝟎
𝒈𝟑
𝒆𝟓
𝒆𝟓 𝒊𝟔,𝒋𝟖,𝒃𝟏𝟎
𝒊𝟔 𝒋𝟖,𝒃𝟏𝟎𝒊𝟔
𝒊𝟔
Greedy Best-First SearchGoal – Node K
𝒂𝟏𝟎 ---
Current Children
𝒂𝟏𝟎 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒈𝟑,𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒂𝟏𝟎
𝒇𝟕
𝒈𝟑 𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒆𝟓 𝒋𝟖,𝒃𝟏𝟎
𝒈𝟑
𝒆𝟓
𝒆𝟓 𝒊𝟔,𝒋𝟖,𝒃𝟏𝟎
𝒊𝟔 𝒋𝟖,𝒃𝟏𝟎𝒊𝟔
𝒊𝟔 𝒌𝟎,𝒋𝟖,𝒃𝟏𝟎
Greedy Best-First SearchGoal – Node K
𝒂𝟏𝟎 ---
Current Children
𝒂𝟏𝟎 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒈𝟑,𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒂𝟏𝟎
𝒇𝟕
𝒈𝟑 𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒆𝟓 𝒋𝟖,𝒃𝟏𝟎
𝒈𝟑
𝒆𝟓
𝒆𝟓 𝒊𝟔,𝒋𝟖,𝒃𝟏𝟎
𝒊𝟔 𝒋𝟖,𝒃𝟏𝟎𝒊𝟔
𝒊𝟔 𝒌𝟎,𝒋𝟖,𝒃𝟏𝟎
𝒌𝟎
Greedy Best-First SearchGoal – Node K
𝒂𝟏𝟎 ---
Current Children
𝒂𝟏𝟎 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒈𝟑,𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒂𝟏𝟎
𝒇𝟕
𝒈𝟑 𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒆𝟓 𝒋𝟖,𝒃𝟏𝟎
𝒈𝟑
𝒆𝟓
𝒆𝟓 𝒊𝟔,𝒋𝟖,𝒃𝟏𝟎
𝒊𝟔 𝒋𝟖,𝒃𝟏𝟎𝒊𝟔
𝒊𝟔 𝒌𝟎,𝒋𝟖,𝒃𝟏𝟎
𝒌𝟎 𝒋𝟖,𝒃𝟏𝟎
Greedy Best-First SearchGoal – Node K
𝒂𝟏𝟎 ---
Current Children
𝒂𝟏𝟎 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒈𝟑,𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒂𝟏𝟎
𝒇𝟕
𝒈𝟑 𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒆𝟓 𝒋𝟖,𝒃𝟏𝟎
𝒈𝟑
𝒆𝟓
𝒆𝟓 𝒊𝟔,𝒋𝟖,𝒃𝟏𝟎
𝒊𝟔 𝒋𝟖,𝒃𝟏𝟎𝒊𝟔
𝒊𝟔 𝒌𝟎,𝒋𝟖,𝒃𝟏𝟎
𝒌𝟎 𝒋𝟖,𝒃𝟏𝟎𝒌𝟎
Greedy Best-First SearchGoal – Node K
𝒂𝟏𝟎 ---
Current Children
𝒂𝟏𝟎 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒈𝟑,𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒂𝟏𝟎
𝒇𝟕
𝒈𝟑 𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒆𝟓 𝒋𝟖,𝒃𝟏𝟎
𝒈𝟑
𝒆𝟓
𝒆𝟓 𝒊𝟔,𝒋𝟖,𝒃𝟏𝟎
𝒊𝟔 𝒋𝟖,𝒃𝟏𝟎𝒊𝟔
𝒊𝟔 𝒌𝟎,𝒋𝟖,𝒃𝟏𝟎
𝒌𝟎 𝒋𝟖,𝒃𝟏𝟎𝒌𝟎
Similar to Uniform CostJust use Heuristic
& Avoids Cost
Greedy Best-First SearchGoal – Node K
𝒂𝟏𝟎 ---
Current Children
𝒂𝟏𝟎 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒈𝟑,𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒂𝟏𝟎
𝒇𝟕
𝒈𝟑 𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒆𝟓 𝒋𝟖,𝒃𝟏𝟎
𝒈𝟑
𝒆𝟓
𝒆𝟓 𝒊𝟔,𝒋𝟖,𝒃𝟏𝟎
𝒊𝟔 𝒋𝟖,𝒃𝟏𝟎𝒊𝟔
𝒊𝟔 𝒌𝟎,𝒋𝟖,𝒃𝟏𝟎
𝒌𝟎 𝒋𝟖,𝒃𝟏𝟎𝒌𝟎
Similar to Uniform CostJust use Heuristic
& Avoids Cost
Cost: Node to NodeHeuristic: Node to Goal
Greedy Best-First SearchGoal – Node K
𝒂𝟏𝟎 ---
Current Children
𝒂𝟏𝟎 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒈𝟑,𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒂𝟏𝟎
𝒇𝟕
𝒈𝟑 𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒆𝟓 𝒋𝟖,𝒃𝟏𝟎
𝒈𝟑
𝒆𝟓
𝒆𝟓 𝒊𝟔,𝒋𝟖,𝒃𝟏𝟎
𝒊𝟔 𝒋𝟖,𝒃𝟏𝟎𝒊𝟔
𝒊𝟔 𝒌𝟎,𝒋𝟖,𝒃𝟏𝟎
𝒌𝟎 𝒋𝟖,𝒃𝟏𝟎𝒌𝟎
Similar to Uniform CostJust use Heuristic
& Avoids Cost
Heuristic
Cost: Node to NodeHeuristic: Node to Goal
Greedy Best-First SearchGoal – Node K
𝒂𝟏𝟎 ---
Current Children
𝒂𝟏𝟎 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒈𝟑,𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒂𝟏𝟎
𝒇𝟕
𝒈𝟑 𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒆𝟓 𝒋𝟖,𝒃𝟏𝟎
𝒈𝟑
𝒆𝟓
𝒆𝟓 𝒊𝟔,𝒋𝟖,𝒃𝟏𝟎
𝒊𝟔 𝒋𝟖,𝒃𝟏𝟎𝒊𝟔
𝒊𝟔 𝒌𝟎,𝒋𝟖,𝒃𝟏𝟎
𝒌𝟎 𝒋𝟖,𝒃𝟏𝟎𝒌𝟎
Similar to Uniform CostJust use Heuristic
& Avoids Cost
Heuristic 5
Cost: Node to NodeHeuristic: Node to Goal
Greedy Best-First SearchGoal – Node K
𝒂𝟏𝟎 ---
Current Children
𝒂𝟏𝟎 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒈𝟑,𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒂𝟏𝟎
𝒇𝟕
𝒈𝟑 𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒆𝟓 𝒋𝟖,𝒃𝟏𝟎
𝒈𝟑
𝒆𝟓
𝒆𝟓 𝒊𝟔,𝒋𝟖,𝒃𝟏𝟎
𝒊𝟔 𝒋𝟖,𝒃𝟏𝟎𝒊𝟔
𝒊𝟔 𝒌𝟎,𝒋𝟖,𝒃𝟏𝟎
𝒌𝟎 𝒋𝟖,𝒃𝟏𝟎𝒌𝟎
Similar to Uniform CostJust use Heuristic
& Avoids Cost
Heuristic 5 2
Cost: Node to NodeHeuristic: Node to Goal
Greedy Best-First SearchGoal – Node K
𝒂𝟏𝟎 ---
Current Children
𝒂𝟏𝟎 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒈𝟑,𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒂𝟏𝟎
𝒇𝟕
𝒈𝟑 𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒆𝟓 𝒋𝟖,𝒃𝟏𝟎
𝒈𝟑
𝒆𝟓
𝒆𝟓 𝒊𝟔,𝒋𝟖,𝒃𝟏𝟎
𝒊𝟔 𝒋𝟖,𝒃𝟏𝟎𝒊𝟔
𝒊𝟔 𝒌𝟎,𝒋𝟖,𝒃𝟏𝟎
𝒌𝟎 𝒋𝟖,𝒃𝟏𝟎𝒌𝟎
Similar to Uniform CostJust use Heuristic
& Avoids Cost
Heuristic 5 2
Cost
Cost: Node to NodeHeuristic: Node to Goal
Greedy Best-First SearchGoal – Node K
𝒂𝟏𝟎 ---
Current Children
𝒂𝟏𝟎 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒈𝟑,𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒂𝟏𝟎
𝒇𝟕
𝒈𝟑 𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒆𝟓 𝒋𝟖,𝒃𝟏𝟎
𝒈𝟑
𝒆𝟓
𝒆𝟓 𝒊𝟔,𝒋𝟖,𝒃𝟏𝟎
𝒊𝟔 𝒋𝟖,𝒃𝟏𝟎𝒊𝟔
𝒊𝟔 𝒌𝟎,𝒋𝟖,𝒃𝟏𝟎
𝒌𝟎 𝒋𝟖,𝒃𝟏𝟎𝒌𝟎
Similar to Uniform CostJust use Heuristic
& Avoids Cost
Heuristic 5 2
Cost 3
Cost: Node to NodeHeuristic: Node to Goal
Greedy Best-First SearchGoal – Node K
𝒂𝟏𝟎 ---
Current Children
𝒂𝟏𝟎 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒈𝟑,𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒂𝟏𝟎
𝒇𝟕
𝒈𝟑 𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒆𝟓 𝒋𝟖,𝒃𝟏𝟎
𝒈𝟑
𝒆𝟓
𝒆𝟓 𝒊𝟔,𝒋𝟖,𝒃𝟏𝟎
𝒊𝟔 𝒋𝟖,𝒃𝟏𝟎𝒊𝟔
𝒊𝟔 𝒌𝟎,𝒋𝟖,𝒃𝟏𝟎
𝒌𝟎 𝒋𝟖,𝒃𝟏𝟎𝒌𝟎
Similar to Uniform CostJust use Heuristic
& Avoids Cost
Heuristic 5 2
Cost 3 9
Cost: Node to NodeHeuristic: Node to Goal
Greedy Best-First SearchGoal – Node K
𝒂𝟏𝟎 ---
Current Children
𝒂𝟏𝟎 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒈𝟑,𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒂𝟏𝟎
𝒇𝟕
𝒈𝟑 𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒆𝟓 𝒋𝟖,𝒃𝟏𝟎
𝒈𝟑
𝒆𝟓
𝒆𝟓 𝒊𝟔,𝒋𝟖,𝒃𝟏𝟎
𝒊𝟔 𝒋𝟖,𝒃𝟏𝟎𝒊𝟔
𝒊𝟔 𝒌𝟎,𝒋𝟖,𝒃𝟏𝟎
𝒌𝟎 𝒋𝟖,𝒃𝟏𝟎𝒌𝟎
Similar to Uniform CostJust use Heuristic
& Avoids Cost
Heuristic 5 2
Cost 3 9
Total
Cost: Node to NodeHeuristic: Node to Goal
Greedy Best-First SearchGoal – Node K
𝒂𝟏𝟎 ---
Current Children
𝒂𝟏𝟎 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒈𝟑,𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒂𝟏𝟎
𝒇𝟕
𝒈𝟑 𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒆𝟓 𝒋𝟖,𝒃𝟏𝟎
𝒈𝟑
𝒆𝟓
𝒆𝟓 𝒊𝟔,𝒋𝟖,𝒃𝟏𝟎
𝒊𝟔 𝒋𝟖,𝒃𝟏𝟎𝒊𝟔
𝒊𝟔 𝒌𝟎,𝒋𝟖,𝒃𝟏𝟎
𝒌𝟎 𝒋𝟖,𝒃𝟏𝟎𝒌𝟎
Similar to Uniform CostJust use Heuristic
& Avoids Cost
Heuristic 5 2
Cost 3 9
Total 8
Cost: Node to NodeHeuristic: Node to Goal
Greedy Best-First SearchGoal – Node K
𝒂𝟏𝟎 ---
Current Children
𝒂𝟏𝟎 𝒇𝟕, 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒋𝟖,𝒃𝟏𝟎
𝒇𝟕 𝒈𝟑,𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒂𝟏𝟎
𝒇𝟕
𝒈𝟑 𝒆𝟓, 𝒋𝟖,𝒃𝟏𝟎
𝒆𝟓 𝒋𝟖,𝒃𝟏𝟎
𝒈𝟑
𝒆𝟓
𝒆𝟓 𝒊𝟔,𝒋𝟖,𝒃𝟏𝟎
𝒊𝟔 𝒋𝟖,𝒃𝟏𝟎𝒊𝟔
𝒊𝟔 𝒌𝟎,𝒋𝟖,𝒃𝟏𝟎
𝒌𝟎 𝒋𝟖,𝒃𝟏𝟎𝒌𝟎
Similar to Uniform CostJust use Heuristic
& Avoids Cost
Heuristic 5 2
Cost 3 9
Total 8 11
Cost: Node to NodeHeuristic: Node to Goal
A* Search – Combines Heuristic & CostGoal - Bucharest
A* Search – ContinueGoal -Bucharest
Arad
AradArad
AradArad
Arad Children
Sibiu
AradArad
Arad Children
Sibiu
Timisoara
AradArad
Arad Children
Sibiu
Timisoara
Zerind
AradArad
Arad Children
Sibiu
Timisoara
Zerind
AradArad
Arad Children
Calculate Total Cost
Sibiu
Timisoara
Zerind
AradArad
Arad Children
Calculate Total Cost
Order Asc.
Sibiu
Timisoara
Zerind
AradArad
Arad Children
Calculate Total Cost
Order Asc.
Select Min. Cost
Sibiu
Timisoara
Zerind
Sibiu
Arad Children
Heuristic
Sibiu
Timisoara
Zerind
Sibiu
Arad Children
Heuristic Cost
Sibiu
Timisoara
Zerind
Sibiu
+
Arad Children
Heuristic Cost Total
Sibiu
Timisoara
Zerind
Sibiu
+
Arad Children
=
Heuristic Cost
253
Total
Sibiu
Timisoara
Zerind
Sibiu
+
Arad Children
=
Heuristic Cost
253 140
Total
Sibiu
Timisoara
Zerind
Sibiu
+ =
Arad Children
+
Heuristic Cost
253 140
Total
393+
Sibiu
Timisoara
Zerind
Sibiu
+ =
Arad Children
=
Heuristic Cost
253 140
Total
393+ =
Sibiu
Timisoara
Zerind
Sibiu
+ =
Arad Children
Heuristic Cost
253 140
Total
393+ =
Sibiu
Timisoara
Zerind
Sibiu
+ =
Arad Children
393
Heuristic Cost Total
Sibiu
Timisoara
Zerind
Timisoara
+ =
Arad Children
393
Heuristic Cost
329
Total
Sibiu
Timisoara
Zerind
Timisoara
+ =
Arad Children
393
Heuristic Cost
329 118
Total
+
Sibiu
Timisoara
Zerind
Timisoara
+ =
Arad Children
393
Heuristic Cost
329 118
Total
447+ =
Sibiu
Timisoara
Zerind
Timisoara
+ =
Arad Children
393
Heuristic Cost
329 118
Total
447+ =
Sibiu
Timisoara
Zerind
Timisoara
+ =
Arad Children
393
447
Heuristic Cost Total
Sibiu
Timisoara
Zerind
Zerind
+ =
Arad Children
393
447
Heuristic Cost
374
Total
Sibiu
Timisoara
Zerind
Zerind
+ =
Arad Children
393
447
Heuristic Cost
374 75
Total
+
Sibiu
Timisoara
Zerind
Zerind
+ =
Arad Children
393
447
Heuristic Cost
374 75
Total
449+ =
Sibiu
Timisoara
Zerind
Zerind
+ =
Arad Children
393
447
Heuristic Cost
374 75
Total
449+ =
Sibiu
Timisoara
Zerind
Zerind
+ =
Arad Children
393
447
449
Current Queue
Sibiu
393
Current Queue
Sibiu
393
Timisoara
447
Current Queue
Sibiu
393
Timisoara
447
Zerind
449
Current Queue
Sibiu
393
Timisoara
447
Zerind
449
Sibiu
393
Sibiu
SibiuSibiu
Arad
SibiuSibiu
Sibiu Children
Arad
Fagaras
SibiuSibiu
Sibiu Children
Arad
Fagaras
Orades
SibiuSibiu
Sibiu Children
Arad
Fagaras
Orades
SibiuSibiu
Sibiu Children
Ramnicu
Arad
Fagaras
Orades
SibiuSibiu
Sibiu Children
Calculate Total Cost
Ramnicu
Arad
Fagaras
Orades
SibiuSibiu
Sibiu Children
Calculate Total Cost
Order Asc.
Ramnicu
Arad
Fagaras
Orades
SibiuSibiu
Sibiu Children
Calculate Total Cost
Order Asc.
Select Min. Cost
Ramnicu
Arad
Sibiu Children
Arad
Fagaras
Orades
Ramnicu
Heuristic
Arad
Sibiu Children
Arad
Fagaras
Orades
Ramnicu
Heuristic Cost
Arad
+
Sibiu Children
Arad
Fagaras
Orades
Ramnicu
Heuristic Cost Total
Arad
+
Sibiu Children
Arad
Fagaras
Orades
Ramnicu
=
Heuristic Cost
366
Total
Arad
+
Sibiu Children
Arad
Fagaras
Orades
Ramnicu
=
Heuristic Cost
366 280
Total
+
Arad
+ =
Sibiu Children
Arad
Fagaras
Orades
Ramnicu
Heuristic Cost
366 280
Total
646+ =
Arad
+ =
Sibiu Children
Arad
Fagaras
Orades
Ramnicu
Heuristic Cost
366 280
Total
646+ =
Arad
+ =
Sibiu Children
Arad
Fagaras
Orades
Ramnicu
646
Heuristic Cost Total
Fagaras
+ =
Sibiu Children
Arad
Fagaras
Orades
Ramnicu
646
Heuristic Cost
176
Total
Fagaras
+ =
Sibiu Children
Arad
Fagaras
Orades
Ramnicu
646
Heuristic Cost
176 239
Total
+
Fagaras
+ =
Sibiu Children
Arad
Fagaras
Orades
Ramnicu
646
Heuristic Cost
176 239
Total
415+ =
Fagaras
+ =
Sibiu Children
Arad
Fagaras
Orades
Ramnicu
646
Heuristic Cost
176 239
Total
415+ =
Fagaras
+ =
Sibiu Children
Arad
Fagaras
Orades
Ramnicu
646
415
Heuristic Cost Total
Orades
+ =
Sibiu Children
Arad
Fagaras
Orades
Ramnicu
646
415
Heuristic Cost
380
Total
Orades
+ =
Sibiu Children
Arad
Fagaras
Orades
Ramnicu
646
415
Heuristic Cost
380 291
Total
+
Orades
+ =
Sibiu Children
Arad
Fagaras
Orades
Ramnicu
646
415
Heuristic Cost
380 291
Total
671+ =
Orades
+ =
Sibiu Children
Arad
Fagaras
Orades
Ramnicu
646
415
Heuristic Cost
380 291
Total
671+ =
Orades
+ =
Sibiu Children
Arad
Fagaras
Orades
Ramnicu
646
415
671
Heuristic Cost Total
Ramnicu
+ =
Sibiu Children
Arad
Fagaras
Orades
Ramnicu
646
415
671
Heuristic Cost
193
Total+ =
Sibiu Children
Arad
Fagaras
Orades
Ramnicu
646
415
671
Ramnicu
Heuristic Cost
193 220
Total
+
+ =
Sibiu Children
Arad
Fagaras
Orades
Ramnicu
646
415
671
Ramnicu
Heuristic Cost
193 220
Total
413+ =
+ =
Sibiu Children
Arad
Fagaras
Orades
Ramnicu
646
415
671
Ramnicu
Heuristic Cost
193 220
Total
413+ =
+ =
Sibiu Children
Arad
Fagaras
Orades
Ramnicu
646
415
671
413
Ramnicu
Current Queue
Timisoara
447
Zerind
449
Current Queue
Arad
646
Timisoara
447
Zerind
449
Orades
671
Ramnicu
413
Fagaras
415
Current Queue
Arad
646
Timisoara
447
Zerind
449
Orades
671
Ramnicu
413
Fagaras
415
Current Queue
Arad
646
Timisoara
447
Zerind
449
Orades
671
Ramnicu
413
Fagaras
415
Ramnicu
413
Ramnicu
RamnicuRamnicu
Craiova
RamnicuRamnicu
RamnicuChildren
Craiova
Pitesti
RamnicuRamnicu
RamnicuChildren
Craiova
Pitesti
Sibiu
RamnicuRamnicu
RamnicuChildren
Craiova
Pitesti
Sibiu
RamnicuRamnicu
RamnicuChildren
Calculate Total Cost
Craiova
Pitesti
Sibiu
RamnicuRamnicu
RamnicuChildren
Calculate Total Cost
Order Asc.
Craiova
Pitesti
Sibiu
RamnicuRamnicu
RamnicuChildren
Calculate Total Cost
Order Asc.
Select Min. Cost
Craiova
RamnicuChildren
Craiova
Pitesti
Sibiu
Heuristic
Craiova
RamnicuChildren
Craiova
Pitesti
Sibiu
Heuristic Cost
Craiova
+
RamnicuChildren
Craiova
Pitesti
Sibiu
Heuristic Cost Total
Craiova
+
RamnicuChildren
Craiova
Pitesti
Sibiu
=
Heuristic Cost
160
Total
Craiova
+
RamnicuChildren
Craiova
Pitesti
Sibiu
=
Heuristic Cost
160 366
Total
+
Craiova
+ =
RamnicuChildren
Craiova
Pitesti
Sibiu
Heuristic Cost
160 366
Total
526+ =
Craiova
+ =
RamnicuChildren
Craiova
Pitesti
Sibiu
Heuristic Cost
160 366
Total
526+ =
Craiova
+ =
RamnicuChildren
526Craiova
Pitesti
Sibiu
Heuristic Cost Total
Pitesti
+ =
RamnicuChildren
526Craiova
Pitesti
Sibiu
Heuristic Cost
100
Total
Pitesti
+ =
RamnicuChildren
526Craiova
Pitesti
Sibiu
Heuristic Cost
100 317
Total
+
Pitesti
+ =
RamnicuChildren
526Craiova
Pitesti
Sibiu
Heuristic Cost
100 317
Total
417+ =
Pitesti
+ =
RamnicuChildren
526Craiova
Pitesti
Sibiu
Heuristic Cost
100 317
Total
417+ =
Pitesti
+ =
RamnicuChildren
526Craiova
Pitesti
Sibiu
417
Heuristic Cost Total
Sibiu
+ =
RamnicuChildren
526Craiova
Pitesti
Sibiu
417
Heuristic Cost
253
Total
Sibiu
+ =
RamnicuChildren
526Craiova
Pitesti
Sibiu
417
Heuristic Cost
253 300
Total
+
Sibiu
+ =
RamnicuChildren
526Craiova
Pitesti
Sibiu
417
Heuristic Cost
253 300
Total
553+ =
Sibiu
+ =
RamnicuChildren
526Craiova
Pitesti
Sibiu
417
Heuristic Cost
253 300
Total
553+ =
Sibiu
+ =
RamnicuChildren
526Craiova
Pitesti
Sibiu
417
553
Current Queue
Arad
646
Timisoara
447
Zerind
449
Orades
671
Fagaras
415
Current Queue
Arad
646
Timisoara
447
Zerind
449
Orades
671
Fagaras
415
Pitesti
417
Craiova
526
Sibiu
553
Current Queue
Arad
646
Timisoara
447
Zerind
449
Orades
671
Fagaras
415Pitesti
417
Craiova
526
Sibiu
553
Current Queue
Arad
646
Timisoara
447
Zerind
449
Orades
671
Fagaras
415Pitesti
417
Craiova
526
Sibiu
553
Fagaras
415
Fagaras
FagarasFagaras
Sibiu
FagarasFagaras
FagarasChildren
Sibiu
Bucharest
FagarasFagaras
FagarasChildren
Sibiu
Bucharest
FagarasFagaras
FagarasChildren
Calculate Total Cost
Sibiu
Bucharest
FagarasFagaras
FagarasChildren
Calculate Total Cost
Order Asc.
Sibiu
Bucharest
FagarasFagaras
FagarasChildren
Calculate Total Cost
Order Asc.
Select Min. Cost
Heuristic Cost Total
Sibiu
+ =
Sibiu
Bucharest
FagarasChildren
Heuristic Cost
253
Total
Sibiu
+ =
Sibiu
Bucharest
FagarasChildren
Heuristic Cost
253 338
Total
+
Sibiu
+ =
Sibiu
Bucharest
FagarasChildren
Heuristic Cost
253 338
Total
591+ =
Sibiu
+ =
Sibiu
Bucharest
FagarasChildren
Heuristic Cost
253 338
Total
591+ =
Sibiu
+ =
591Sibiu
Bucharest
FagarasChildren
Heuristic Cost Total
Bucharest
+ =
591Sibiu
Bucharest
FagarasChildren
Heuristic Cost
0
Total
Bucharest
+ =
591Sibiu
Bucharest
FagarasChildren
Heuristic Cost
0 450
Total
+
Bucharest
+ =
591Sibiu
Bucharest
FagarasChildren
Heuristic Cost
0 450
Total
450+ =
Bucharest
+ =
591Sibiu
Bucharest
FagarasChildren
Heuristic Cost
0 450
Total
450+ =
Bucharest
+ =
591
450
Sibiu
Bucharest
FagarasChildren
Current Queue
Arad
646
Timisoara
447
Zerind
449Orades
671
Pitesti
417
Craiova
526
Sibiu
553
Current Queue
Arad
646
Timisoara
447
Zerind
449Orades
671
Pitesti
417
Craiova
526
Sibiu
591
Bucharest
450
Sibiu
553
Current Queue
Arad
646
Timisoara
447
Zerind
449
Orades
671
Pitesti
417
Craiova
526
Sibiu
591
Bucharest
450
Sibiu
553
Current Queue
Arad
646
Timisoara
447
Zerind
449
Orades
671
Pitesti
417
Craiova
526
Sibiu
591
Pitesti
417Bucharest
450
Sibiu
553
Pitesti
PitestiPetisti
Bucharest
PitestiPetisti
PetistiChildren
Bucharest
Craiova
PitestiPetisti
PetistiChildren
Bucharest
Craiova
Ramnicu
PitestiPetisti
PetistiChildren
Bucharest
Craiova
Ramnicu
PitestiPetisti
PetistiChildren
Calculate Total Cost
Bucharest
Craiova
Ramnicu
PitestiPetisti
PetistiChildren
Calculate Total Cost
Order Asc.
Bucharest
Craiova
Ramnicu
PitestiPetisti
PetistiChildren
Calculate Total Cost
Order Asc.
Select Min. Cost
Heuristic Cost Total
Bucharest
+ =
RamnicuChildren
Bucharest
Craiova
Ramnicu
Heuristic Cost
0
Total
Bucharest
+ =
RamnicuChildren
Bucharest
Craiova
Ramnicu
Heuristic Cost
0 418
Total
+
Bucharest
+ =
RamnicuChildren
Bucharest
Craiova
Ramnicu
Heuristic Cost
0 418
Total
418+ =
Bucharest
+ =
RamnicuChildren
Bucharest
Craiova
Ramnicu
Heuristic Cost
0 418
Total
418+ =
Bucharest
+ =
RamnicuChildren
418Bucharest
Craiova
Ramnicu
Heuristic Cost Total
Craiova
+ =
RamnicuChildren
418Bucharest
Craiova
Ramnicu
Heuristic Cost
160
Total
Craiova
+ =
RamnicuChildren
418Bucharest
Craiova
Ramnicu
Heuristic Cost
160 455
Total
+
Craiova
+ =
RamnicuChildren
418Bucharest
Craiova
Ramnicu
Heuristic Cost
160 455
Total
615+ =
Craiova
+ =
RamnicuChildren
418Bucharest
Craiova
Ramnicu
Heuristic Cost
160 455
Total
615+ =
Craiova
+ =
RamnicuChildren
418
615
Bucharest
Craiova
Ramnicu
Heuristic Cost Total
Ramnicu
+ =
RamnicuChildren
418
615
Bucharest
Craiova
Ramnicu
Heuristic Cost
193
Total
Ramnicu
+ =
RamnicuChildren
418
615
Bucharest
Craiova
Ramnicu
Heuristic Cost
193 414
Total
+
Ramnicu
+ =
RamnicuChildren
418
615
Bucharest
Craiova
Ramnicu
Heuristic Cost
193 414
Total
607+ =
Ramnicu
+ =
RamnicuChildren
418
615
Bucharest
Craiova
Ramnicu
Heuristic Cost
193 414
Total
607+ =
Ramnicu
+ =
RamnicuChildren
418
615
607
Bucharest
Craiova
Ramnicu
Current Queue
Arad
646
Timisoara
447
Zerind
449
Orades
671
Craiova
615
Sibiu
591
Bucharest
450
Sibiu
553
Bucharest
418
Craiova
526
Ramnicu
607
Current Queue
Arad
646
Timisoara
447
Zerind
449
Orades
671
Craiova
615
Sibiu
591
Bucharest
450
Sibiu
553
Bucharest
418
Craiova
526
Ramnicu
607
Current Queue
Arad
646
Timisoara
447
Zerind
449
Orades
671
Craiova
615
Sibiu
591
Bucharest
450
Sibiu
553
Bucharest
418
Craiova
526
Ramnicu
607
Bucharest
418
Bucharest
BucharestBucharest
BucharestBucharest
GOAL
Path to Goal
