SE250:lab-X:sbas046

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Task 1

Number of states: calculated by 9 factorial (9P9)

362880

Number of edges: the number of state transitions are 9!/2(going back to the same state) and the average number of legal moves from each state is 24/9. Hence the number of states edges are (9!*24)/18

483480

Task 2

  • while the state is not empty:
  • looks at the adjacent states. (pops off the ordered state list)
  • if the state is the final state then break the program.
  • else add the state to the ordered state list
  • repeat

Task 3

<html><a><img src="http://img27.picoodle.com/img/img27/4/6/2/f_graphm_08036dd.jpg" border="0" alt="Graph" /></a></html>

Task 4

Here are the last few searches the program performs before finding the final state. It is depth first search. It looks at its children's children until it all the children are either empty or they have already been visited.

126
5.4
783

126
54.
783

126
543
78.

12.
546
783

126
584
7.3

126
584
73.

.26
154
783

2.6
154
783

26.
154
783

264
15.
783

264
153
78.

264
153
7.8

142
6.5
738

142
65.
738

142
658
73.

142
658
7.3

142
.65
738

142
765
.38

142
765
3.8

142
765
38.

$
76.
385

142
7.6
385

1.2
746
385

12.
746
385

126
74.
385

126
745
38.

126
745
3.8

126
745
.38

126
.45
738

126
4.5
738

126
45.
738

12.
456
738

1.2
456
738

152
4.6
738

152
436
7.8

152
436
78.

152
43.
786

152
4.3
786

1.2
453
786

12.
453
786

123
45.
786

Task 5

The search.exe file lists the shortest path from the initial state to the final state whereas the graph details every state and edge.

Task 6

Task 7

Task 8

Task 9

Task 10