The heuristic f applied to states in the 8-puzzle. Lovel of search gin) - Start 283 16 4 girt = 0 State a 64 Ta)- 4 8|3 Stato b b) -6 State c State a gin) - 1 Tec) -4 ted) -6 5 283 164 75 283 2 8 3 2 a State g State e e) -5 State r gin) = 2 gir =1 164 TT) -5 6 5 765 76 5 7 5 23 4 State I t) = 7 State t = 5 gin) = 3 2|14 765 State n 1. State k tn) - 6 tk) =7 65 7. 65 z 65 Values of finj for each state, 6 4 6 where: tini = gin + hin. gint = actual distance from n to the start state, and hint = number of tiles out of place. State i R) = 5 gin) = 4 65 12 3 g(n) = 5 State m Tm) = 5 state n 76 5 84 7. fn) = 7 65 Goal Goal

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Question

 solving 8 puzzle using two search algorithms. The first algorithm is breadth first the second algorithm is best first search 

1- Run the two algorithms three times and compare the size of the tree for each algorithm

2- For each run make at least five tiles in wrong place. In your report solve the figure

The heuristic f applied to states in the
8-puzzle.
Start
Lovel of search
g(n) -
28 3
2
State a
Tia)- 4
164
7 5
gint = 0
6 4
2
8|3
Stato b
b)-6
State c
tic) =4
State d
g(n) - 1
1
6 4
75
75
283
164
75
28 3
4
76 5
2 83
3.
2|a3
14
.
state f
Ter) = 5
State g
g) -6
Stato o
Oin) =2
4.
glnt =1
1
164
No) =5
65
7.
65
6 5
7 5
283
14
23
21
State
rg) = 5
State n
State I
State k
Din) = 3
Tn) = 6
r(1) = 7
Tk) =7
6 5
65
6 5
7
Values of fin) for each state,
6
4
6
where:
fini = gin) + hn),
gin = actual distance from n
1o the start state, and
2|3
statei
I) = 5
gin) =4
%3D
65
123
hini = mumber of tles cut of place.
4
7
12|3
784
123
State m
g(n) = 5
76 5
State n
fn) = 7
4
m) =5
Goal
Goai
-
Transcribed Image Text:The heuristic f applied to states in the 8-puzzle. Start Lovel of search g(n) - 28 3 2 State a Tia)- 4 164 7 5 gint = 0 6 4 2 8|3 Stato b b)-6 State c tic) =4 State d g(n) - 1 1 6 4 75 75 283 164 75 28 3 4 76 5 2 83 3. 2|a3 14 . state f Ter) = 5 State g g) -6 Stato o Oin) =2 4. glnt =1 1 164 No) =5 65 7. 65 6 5 7 5 283 14 23 21 State rg) = 5 State n State I State k Din) = 3 Tn) = 6 r(1) = 7 Tk) =7 6 5 65 6 5 7 Values of fin) for each state, 6 4 6 where: fini = gin) + hn), gin = actual distance from n 1o the start state, and 2|3 statei I) = 5 gin) =4 %3D 65 123 hini = mumber of tles cut of place. 4 7 12|3 784 123 State m g(n) = 5 76 5 State n fn) = 7 4 m) =5 Goal Goai -
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