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Breadth First Search. 2. 4. 8. s. 5. 7. 3. 6. 9. Breadth First Search. Shortest path from s. 1. 2. 2. 4. 8. 0. s. 5. 7. 3. 6. 9. Undiscovered. Queue: s. Discovered. Top of queue. Finished. Breadth First Search. 1. 2. 4. 8. 0. s. 5. 7. 3. 3. 6. 9. 1.

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Presentation Transcript
breadth first search1
Breadth First Search

Shortest pathfrom s

1

2

2

4

8

0

s

5

7

3

6

9

Undiscovered

Queue: s

Discovered

Top of queue

Finished

breadth first search2
Breadth First Search

1

2

4

8

0

s

5

7

3

3

6

9

1

Undiscovered

Queue: s 2

Discovered

Top of queue

Finished

breadth first search3
Breadth First Search

1

2

4

8

0

5

s

5

7

1

3

6

9

1

Undiscovered

Queue: s 2 3

Discovered

Top of queue

Finished

breadth first search4
Breadth First Search

1

2

4

8

0

s

5

7

1

3

6

9

1

Undiscovered

Queue: 2 3 5

Discovered

Top of queue

Finished

breadth first search5
Breadth First Search

1

2

2

4

4

8

0

s

5

7

1

3

6

9

1

Undiscovered

Queue: 2 3 5

Discovered

Top of queue

Finished

breadth first search6
Breadth First Search

1

2

2

4

8

5 already discovered:don\'t enqueue

0

s

5

7

1

3

6

9

1

Undiscovered

Queue: 2 3 5 4

Discovered

Top of queue

Finished

breadth first search7
Breadth First Search

1

2

2

4

8

0

s

5

7

1

3

6

9

1

Undiscovered

Queue: 2 3 5 4

Discovered

Top of queue

Finished

breadth first search8
Breadth First Search

1

2

2

4

8

0

s

5

7

1

3

6

9

1

Undiscovered

Queue: 3 5 4

Discovered

Top of queue

Finished

breadth first search9
Breadth First Search

1

2

2

4

8

0

s

5

7

1

3

6

6

9

1

2

Undiscovered

Queue: 3 5 4

Discovered

Top of queue

Finished

breadth first search10
Breadth First Search

1

2

2

4

8

0

s

5

7

1

3

6

9

1

2

Undiscovered

Queue: 3 5 4 6

Discovered

Top of queue

Finished

breadth first search11
Breadth First Search

1

2

2

4

8

0

s

5

7

1

3

6

9

1

2

Undiscovered

Queue: 5 4 6

Discovered

Top of queue

Finished

breadth first search12
Breadth First Search

1

2

2

4

8

0

s

5

7

1

3

6

9

1

2

Undiscovered

Queue: 5 4 6

Discovered

Top of queue

Finished

breadth first search13
Breadth First Search

1

2

2

4

8

0

s

5

7

1

3

6

9

1

2

Undiscovered

Queue: 4 6

Discovered

Top of queue

Finished

breadth first search14
Breadth First Search

1

2

3

2

4

8

8

0

s

5

7

1

3

6

9

1

2

Undiscovered

Queue: 4 6

Discovered

Top of queue

Finished

breadth first search15
Breadth First Search

1

2

3

2

4

8

0

s

5

7

1

3

6

9

1

2

Undiscovered

Queue: 4 6 8

Discovered

Top of queue

Finished

breadth first search16
Breadth First Search

1

2

3

2

4

8

0

7

s

5

7

1

3

3

6

9

1

2

Undiscovered

Queue: 6 8

Discovered

Top of queue

Finished

breadth first search17
Breadth First Search

1

2

3

2

4

8

0

s

5

7

1

3

3

6

9

9

3

1

2

Undiscovered

Queue: 6 8 7

Discovered

Top of queue

Finished

breadth first search18
Breadth First Search

1

2

3

2

4

8

0

s

5

7

1

3

3

6

9

3

1

2

Undiscovered

Queue: 6 8 7 9

Discovered

Top of queue

Finished

breadth first search19
Breadth First Search

1

2

3

2

4

8

0

s

5

7

1

3

3

6

9

3

1

2

Undiscovered

Queue: 8 7 9

Discovered

Top of queue

Finished

breadth first search20
Breadth First Search

1

2

3

2

4

8

0

s

5

7

1

3

3

6

9

3

1

2

Undiscovered

Queue: 7 9

Discovered

Top of queue

Finished

breadth first search21
Breadth First Search

1

2

3

2

4

8

0

s

5

7

1

3

3

6

9

3

1

2

Undiscovered

Queue: 7 9

Discovered

Top of queue

Finished

breadth first search22
Breadth First Search

1

2

3

2

4

8

0

s

5

7

1

3

3

6

9

3

1

2

Undiscovered

Queue: 7 9

Discovered

Top of queue

Finished

breadth first search23
Breadth First Search

1

2

3

2

4

8

0

s

5

7

1

3

3

6

9

3

1

2

Undiscovered

Queue: 7 9

Discovered

Top of queue

Finished

breadth first search24
Breadth First Search

1

2

3

2

4

8

0

s

5

7

1

3

3

6

9

3

1

2

Undiscovered

Queue: 9

Discovered

Top of queue

Finished

breadth first search25
Breadth First Search

1

2

3

2

4

8

0

s

5

7

1

3

3

6

9

3

1

2

Undiscovered

Queue: 9

Discovered

Top of queue

Finished

breadth first search26
Breadth First Search

1

2

3

2

4

8

0

s

5

7

1

3

3

6

9

3

1

2

Undiscovered

Queue: 9

Discovered

Top of queue

Finished

breadth first search27
Breadth First Search

1

2

3

2

4

8

0

s

5

7

1

3

3

6

9

3

1

2

Undiscovered

Queue:

Discovered

Top of queue

Finished

breadth first search28
Breadth First Search

1

2

3

2

4

8

0

s

5

7

1

3

3

6

9

3

1

2

Level Graph

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