depth first search

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1 Depth First Search 0 1 2 3 4 dfs(0, 0) 0 1 2 3 4 open site blocked site reachable from top via open sites

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Depth First Search. open site. dfs(0, 0). blocked site. reachable from top via open sites. 0. 1. 2. 3. 4. 0. 1. 2. 3. 4. Depth First Search. open site. dfs(0, 0). blocked site. reachable from top via open sites. 0. 1. 2. 3. 4. - PowerPoint PPT Presentation

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Page 1: Depth First Search

1

Depth First Search

0

1

2

3

4

dfs(0, 0)

0 1 2 3 4

open site

blocked site

reachable from top via open sites

Page 2: Depth First Search

2

Depth First Search

0

1

2

3

4

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

flow()

dfs(0, 0)

0 1 2 3 4

open site

blocked site

reachable from top via open sites

Page 3: Depth First Search

3

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 0)

0 1 2 3 4

open site

blocked site

reachable from top via open sites

Page 4: Depth First Search

4

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 0)

0 1 2 3 4

open site

blocked site

reachable from top via open sites

Page 5: Depth First Search

5

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 0)

mark down right left up

dfs(1, 0)

0 1 2 3 4

open site

blocked site

reachable from top via open sites

Page 6: Depth First Search

6

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 0)

mark down right left up

dfs(1, 0)

0 1 2 3 4

open site

blocked site

reachable from top via open sites

Page 7: Depth First Search

7

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 0)

mark down right left up

dfs(1, 0)

0 1 2 3 4

open site

blocked site

reachable from top via open sites

Page 8: Depth First Search

8

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 0)

mark down right left up

dfs(1, 0)

0 1 2 3 4

open site

blocked site

reachable from top via open sites

Page 9: Depth First Search

9

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 0)

mark down right left up

dfs(1, 0)

0 1 2 3 4

open site

blocked site

reachable from top via open sites

Page 10: Depth First Search

10

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 0)

0 1 2 3 4

open site

blocked site

reachable from top via open sites

Page 11: Depth First Search

11

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 0)

0 1 2 3 4

open site

blocked site

reachable from top via open sites

Page 12: Depth First Search

12

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 0)

0 1 2 3 4

open site

blocked site

reachable from top via open sites

Page 13: Depth First Search

13

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

0 1 2 3 4

flow()

dfs(0, 0)open site

blocked site

reachable from top via open sites

Page 14: Depth First Search

14

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

0 1 2 3 4

flow()

dfs(0, 0)open site

blocked site

reachable from top via open sites

Page 15: Depth First Search

15

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

0 1 2 3 4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 2)

open site

blocked site

reachable from top via open sites

Page 16: Depth First Search

16

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

0 1 2 3 4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 2)

open site

blocked site

reachable from top via open sites

Page 17: Depth First Search

17

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

0 1 2 3 4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 2)

mark down right left up

dfs(1, 2)

open site

blocked site

reachable from top via open sites

Page 18: Depth First Search

18

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

0 1 2 3 4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 2)

mark down right left up

dfs(1, 2)

open site

blocked site

reachable from top via open sites

Page 19: Depth First Search

19

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

0 1 2 3 4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 2)

mark down right left up

dfs(1, 2)

mark down right left up

dfs(2, 2)

open site

blocked site

reachable from top via open sites

Page 20: Depth First Search

20

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

0 1 2 3 4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 2)

mark down right left up

dfs(1, 2)

mark down right left up

dfs(2, 2)

open site

blocked site

reachable from top via open sites

Page 21: Depth First Search

21

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

0 1 2 3 4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 2)

mark down right left up

dfs(1, 2)

mark down right left up

dfs(2, 2)

mark down right left up

dfs(3, 2)

open site

blocked site

reachable from top via open sites

Page 22: Depth First Search

22

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

0 1 2 3 4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 2)

mark down right left up

dfs(1, 2)

mark down right left up

dfs(2, 2)

mark down right left up

dfs(3, 2)

open site

blocked site

reachable from top via open sites

Page 23: Depth First Search

23

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

0 1 2 3 4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 2)

mark down right left up

dfs(1, 2)

mark down right left up

dfs(2, 2)

mark down right left up

dfs(3, 2)

open site

blocked site

reachable from top via open sites

Page 24: Depth First Search

24

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

0 1 2 3 4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 2)

mark down right left up

dfs(1, 2)

mark down right left up

dfs(2, 2)

mark down right left up

dfs(3, 2)

open site

blocked site

reachable from top via open sites

Page 25: Depth First Search

25

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

0 1 2 3 4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 2)

mark down right left up

dfs(1, 2)

mark down right left up

dfs(2, 2)

mark down right left up

dfs(3, 2)

open site

blocked site

reachable from top via open sites

Page 26: Depth First Search

26

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

0 1 2 3 4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 2)

mark down right left up

dfs(1, 2)

mark down right left up

dfs(2, 2)

open site

blocked site

reachable from top via open sites

Page 27: Depth First Search

27

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

0 1 2 3 4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 2)

mark down right left up

dfs(1, 2)

mark down right left up

dfs(2, 2)

open site

blocked site

reachable from top via open sites

Page 28: Depth First Search

28

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

0 1 2 3 4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 2)

mark down right left up

dfs(1, 2)

mark down right left up

dfs(2, 2)

mark down right left up

dfs(2, 1)

open site

blocked site

reachable from top via open sites

Page 29: Depth First Search

29

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

0 1 2 3 4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 2)

mark down right left up

dfs(1, 2)

mark down right left up

dfs(2, 2)

mark down right left up

dfs(2, 1)

open site

blocked site

reachable from top via open sites

Page 30: Depth First Search

30

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

0 1 2 3 4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 2)

mark down right left up

dfs(1, 2)

mark down right left up

dfs(2, 2)

mark down right left up

dfs(2, 1)

open site

blocked site

reachable from top via open sites

Page 31: Depth First Search

31

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

0 1 2 3 4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 2)

mark down right left up

dfs(1, 2)

mark down right left up

dfs(2, 2)

mark down right left up

dfs(2, 1)

open site

blocked site

reachable from top via open sites

Page 32: Depth First Search

32

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

0 1 2 3 4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 2)

mark down right left up

dfs(1, 2)

mark down right left up

dfs(2, 2)

mark down right left up

dfs(2, 1)

open site

blocked site

reachable from top via open sites

Page 33: Depth First Search

33

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

0 1 2 3 4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 2)

mark down right left up

dfs(1, 2)

mark down right left up

dfs(2, 2)

open site

blocked site

reachable from top via open sites

Page 34: Depth First Search

34

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

0 1 2 3 4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 2)

mark down right left up

dfs(1, 2)

open site

blocked site

reachable from top via open sites

Page 35: Depth First Search

35

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

0 1 2 3 4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 2)

mark down right left up

dfs(1, 2)

mark down right left up

dfs(1, 3)

open site

blocked site

reachable from top via open sites

Page 36: Depth First Search

36

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

0 1 2 3 4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 2)

mark down right left up

dfs(1, 2)

mark down right left up

dfs(1, 3)

open site

blocked site

reachable from top via open sites

Page 37: Depth First Search

37

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

0 1 2 3 4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 2)

mark down right left up

dfs(1, 2)

mark down right left up

dfs(1, 3)

open site

blocked site

reachable from top via open sites

Page 38: Depth First Search

38

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

0 1 2 3 4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 2)

mark down right left up

dfs(1, 2)

mark down right left up

dfs(1, 3)

mark down right left up

dfs(1, 4)

open site

blocked site

reachable from top via open sites

Page 39: Depth First Search

39

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

0 1 2 3 4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 2)

mark down right left up

dfs(1, 2)

mark down right left up

dfs(1, 3)

mark down right left up

dfs(1, 4)

open site

blocked site

reachable from top via open sites

Page 40: Depth First Search

40

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

0 1 2 3 4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 2)

mark down right left up

dfs(1, 2)

mark down right left up

dfs(1, 3)

mark down right left up

dfs(1, 4)

mark down right left up

dfs(2, 4)

open site

blocked site

reachable from top via open sites

Page 41: Depth First Search

41

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

0 1 2 3 4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 2)

mark down right left up

dfs(1, 2)

mark down right left up

dfs(1, 3)

mark down right left up

dfs(1, 4)

mark down right left up

dfs(2, 4)

open site

blocked site

reachable from top via open sites

Page 42: Depth First Search

42

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

0 1 2 3 4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 2)

mark down right left up

dfs(1, 2)

mark down right left up

dfs(1, 3)

mark down right left up

dfs(1, 4)

mark down right left up

dfs(2, 4)

mark down right left up

dfs(3, 4)

open site

blocked site

reachable from top via open sites

Page 43: Depth First Search

43

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

0 1 2 3 4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 2)

mark down right left up

dfs(1, 2)

mark down right left up

dfs(1, 3)

mark down right left up

dfs(1, 4)

mark down right left up

dfs(2, 4)

mark down right left up

dfs(3, 4)

open site

blocked site

reachable from top via open sites

Page 44: Depth First Search

44

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

0 1 2 3 4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 2)

mark down right left up

dfs(1, 2)

mark down right left up

dfs(1, 3)

mark down right left up

dfs(1, 4)

mark down right left up

dfs(2, 4)

mark down right left up

dfs(3, 4)

mark down right left up

dfs(4, 4)open site

blocked site

reachable from top via open sites

Page 45: Depth First Search

45

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

0 1 2 3 4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 2)

mark down right left up

dfs(1, 2)

mark down right left up

dfs(1, 3)

mark down right left up

dfs(1, 4)

mark down right left up

dfs(2, 4)

mark down right left up

dfs(3, 4)

mark down right left up

dfs(4, 4)open site

blocked site

reachable from top via open sites

Page 46: Depth First Search

46

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

0 1 2 3 4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 2)

mark down right left up

dfs(1, 2)

mark down right left up

dfs(1, 3)

mark down right left up

dfs(1, 4)

mark down right left up

dfs(2, 4)

mark down right left up

dfs(3, 4)

mark down right left up

dfs(4, 4)open site

blocked site

reachable from top via open sites

Page 47: Depth First Search

47

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

0 1 2 3 4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 2)

mark down right left up

dfs(1, 2)

mark down right left up

dfs(1, 3)

mark down right left up

dfs(1, 4)

mark down right left up

dfs(2, 4)

mark down right left up

dfs(3, 4)

mark down right left up

dfs(4, 4)open site

blocked site

reachable from top via open sites

Page 48: Depth First Search

48

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

0 1 2 3 4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 2)

mark down right left up

dfs(1, 2)

mark down right left up

dfs(1, 3)

mark down right left up

dfs(1, 4)

mark down right left up

dfs(2, 4)

mark down right left up

dfs(3, 4)

mark down right left up

dfs(4, 4)open site

blocked site

reachable from top via open sites

Page 49: Depth First Search

49

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

0 1 2 3 4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 2)

mark down right left up

dfs(1, 2)

mark down right left up

dfs(1, 3)

mark down right left up

dfs(1, 4)

mark down right left up

dfs(2, 4)

mark down right left up

dfs(3, 4)

open site

blocked site

reachable from top via open sites

Page 50: Depth First Search

50

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

0 1 2 3 4

flow()

dfs(0, 0)

mark down right left up

dfs(0, 2)

mark down right left up

dfs(1, 2)

mark down right left up

dfs(1, 3)

mark down right left up

dfs(1, 4)

mark down right left up

dfs(2, 4)

mark down right left up

dfs(3, 4)

open site

blocked site

reachable from top via open sites

Page 51: Depth First Search

51

dfs(0, 0) dfs(0, 1) dfs(0, 2) dfs(0, 3) dfs(0, 4)

Depth First Search

0

1

2

3

4

0 1 2 3 4

flow()

dfs(0, 0)

mark down right left up

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