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Linked List

prev
next
data
prev
next
data
prev
next
data
prev
next
data
prev
next
data
NULL
NULL
Node
Node
Node
Node
Node

L

K

J

I

H

G

F

E

D

C

B

A

L

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J

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A

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A

L

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G

F

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A

X

Implementation

A

next
prev

B

next
prev

C

next
prev

D

next
prev

D

next
prev
NULL
NULL

delete

A

next
prev

B

next
prev

C

next
prev

A

next
prev

B

next
prev

C

next
prev

insert

A

next
prev

C

next
prev

A

next
prev

B

next
prev

C

next
prev

Tree

indexing

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

15

14

13

12

11

10

9

8

7

6

5

4

3

2

1

0

treap

50,3

23,5

80,11

4,58

37,13

71,47

92,25

9,69

68,90

87,79

99,39

segment tree

[0,6)

[0,3)

[3,6)

[0,1)

[1,3)

[3,4)

[4,6)

[1,2)

[2,3)

[4,5)

[5,6)

Heap

1

min

1

7

min

4

1

7

min

4

1

7

5

min

4

5

7

min

5

7

min

8

5

7

min

Implementation

0

5

24

58

34

41

78

67

62

69

64

45

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0

5

24

58

34

41

78

67

62

69

64

45

0

5

24

58

34

41

78

67

62

69

64

45

17

0

5

24

58

34

17

78

67

62

69

64

45

41

0

5

17

58

34

24

78

67

62

69

64

45

41

delete

0

5

24

58

34

41

78

67

62

69

64

45

5

24

58

34

41

78

67

62

69

64

45

5

24

58

34

41

78

67

62

69

64

45

45

24

58

34

41

78

67

62

69

64

5

34

24

58

45

41

78

67

62

69

64

5

arange

 2x+1 
2x
x
index
value
arange(x)

\(\min(a, b, c)=\)

\(b\)

\(c\)

\(a\)

 2x+1 
2x
x
return x   
return 2x  
return 2x+1

回傳 \(a\) 的新位置

a
b
c
a
a
a
c
c
c
b
b
b

BST

B

A

C

A

B

C

<

<

C

A

B

C

<

<

A

B

insert

41

34

62

0

45

78

5

58

69

99

41

34

62

0

45

78

5

58

69

99

< 43

41

34

62

0

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78

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58

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43 <

41

34

62

0

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78

5

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43 <

41

34

62

0

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78

5

58

69

99

43

find

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34

62

0

45

78

5

58

69

99

43

< 69

41

34

62

0

45

78

5

58

69

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43

< 69

41

34

62

0

45

78

5

58

69

99

43

69 <

41

34

62

0

45

78

5

58

69

99

43

found

Dsu

boss
boss
boss
boss
chief
chief
boss
chief
chief
chief

A

B

set A

set B

A

B

set A+B

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