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Red-Black Tree Example
James Clarke
University of Cambridge
February 7, 2015
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Inserting ‘J’
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Inserting ‘J’
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James Clarke (University of Cambridge) Red-Black Tree Example February 7, 2015 105 / 144
Inserting ‘J’
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Inserting ‘J’
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James Clarke (University of Cambridge) Red-Black Tree Example February 7, 2015 107 / 144
Inserting ‘R’
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Inserting ‘R’
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Inserting ‘R’
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James Clarke (University of Cambridge) Red-Black Tree Example February 7, 2015 110 / 144
Inserting ‘R’
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James Clarke (University of Cambridge) Red-Black Tree Example February 7, 2015 111 / 144
Inserting ‘R’
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James Clarke (University of Cambridge) Red-Black Tree Example February 7, 2015 112 / 144
Inserting ‘R’
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James Clarke (University of Cambridge) Red-Black Tree Example February 7, 2015 113 / 144
Inserting ‘R’
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A B
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R R
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James Clarke (University of Cambridge) Red-Black Tree Example February 7, 2015 114 / 144
Inserting ‘T’
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James Clarke (University of Cambridge) Red-Black Tree Example February 7, 2015 115 / 144
Inserting ‘T’
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A B
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James Clarke (University of Cambridge) Red-Black Tree Example February 7, 2015 116 / 144
Inserting ‘T’
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James Clarke (University of Cambridge) Red-Black Tree Example February 7, 2015 117 / 144
Inserting ‘T’
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A B
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James Clarke (University of Cambridge) Red-Black Tree Example February 7, 2015 118 / 144
Inserting ‘T’
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A
A B
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E
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O
M
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I L
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R
R R
T
T
James Clarke (University of Cambridge) Red-Black Tree Example February 7, 2015 119 / 144
Inserting ‘C’
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A
A B
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E
H
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O
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R R
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T
James Clarke (University of Cambridge) Red-Black Tree Example February 7, 2015 120 / 144
Inserting ‘C’
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C
A
A B
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E
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O
M
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I L
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S
R
R R
T
T
James Clarke (University of Cambridge) Red-Black Tree Example February 7, 2015 121 / 144
Inserting ‘C’
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C
A
A B
G
D
E
H
G
O
M
J
I L
M
S
R
R R
T
T
James Clarke (University of Cambridge) Red-Black Tree Example February 7, 2015 122 / 144
Inserting ‘C’
I
C
A
A B
G
D
E
H
G
O
M
J
I L
M
S
R
R R
T
T
James Clarke (University of Cambridge) Red-Black Tree Example February 7, 2015 123 / 144
Inserting ‘C’
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C
A
A B
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D
C E
H
G
O
M
J
I L
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R
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T
T
James Clarke (University of Cambridge) Red-Black Tree Example February 7, 2015 124 / 144
Inserting ‘4’
I
C
A
A B
G
D
C E
H
G
O
M
J
I L
M
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R
R R
T
T
James Clarke (University of Cambridge) Red-Black Tree Example February 7, 2015 125 / 144
Inserting ‘4’
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A B
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D
C E
H
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O
M
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I L
M
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R
R R
T
T
James Clarke (University of Cambridge) Red-Black Tree Example February 7, 2015 126 / 144
Inserting ‘4’
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C
A
A B
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D
C E
H
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M
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M
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R
R R
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T
James Clarke (University of Cambridge) Red-Black Tree Example February 7, 2015 127 / 144
Inserting ‘4’
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A B
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C E
H
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O
M
J
I L
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R
R R
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T
James Clarke (University of Cambridge) Red-Black Tree Example February 7, 2015 128 / 144
Inserting ‘4’
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C
A
A
4
B
G
D
C E
H
G
O
M
J
I L
M
S
R
R R
T
T
James Clarke (University of Cambridge) Red-Black Tree Example February 7, 2015 129 / 144
Finding ‘A’
I
C
A
A
4
B
G
D
C E
H
G
O
M
J
I L
M
S
R
R R
T
T
James Clarke (University of Cambridge) Red-Black Tree Example February 7, 2015 130 / 144
Finding ‘A’
I
C
A
A
4
B
G
D
C E
H
G
O
M
J
I L
M
S
R
R R
T
T
James Clarke (University of Cambridge) Red-Black Tree Example February 7, 2015 131 / 144
Finding ‘A’
I
C
A
A
4
B
G
D
C E
H
G
O
M
J
I L
M
S
R
R R
T
T
James Clarke (University of Cambridge) Red-Black Tree Example February 7, 2015 132 / 144
Finding ‘A’
I
C
A
A
4
B
G
D
C E
H
G
O
M
J
I L
M
S
R
R R
T
T
James Clarke (University of Cambridge) Red-Black Tree Example February 7, 2015 133 / 144
Finding ‘Z’
I
C
A
A
4
B
G
D
C E
H
G
O
M
J
I L
M
S
R
R R
T
T
James Clarke (University of Cambridge) Red-Black Tree Example February 7, 2015 134 / 144
Finding ‘Z’
I
C
A
A
4
B
G
D
C E
H
G
O
M
J
I L
M
S
R
R R
T
T
James Clarke (University of Cambridge) Red-Black Tree Example February 7, 2015 135 / 144
Finding ‘Z’
I
C
A
A
4
B
G
D
C E
H
G
O
M
J
I L
M
S
R
R R
T
T
James Clarke (University of Cambridge) Red-Black Tree Example February 7, 2015 136 / 144
Finding ‘Z’
I
C
A
A
4
B
G
D
C E
H
G
O
M
J
I L
M
S
R
R R
T
T
James Clarke (University of Cambridge) Red-Black Tree Example February 7, 2015 137 / 144
Finding ‘Z’
I
C
A
A
4
B
G
D
C E
H
G
O
M
J
I L
M
S
R
R R
T
T
James Clarke (University of Cambridge) Red-Black Tree Example February 7, 2015 138 / 144
Predecessor of ‘M’
I
C
A
A
4
B
G
D
C E
H
G
O
M
J
I L
M
S
R
R R
T
T
James Clarke (University of Cambridge) Red-Black Tree Example February 7, 2015 139 / 144
Predecessor of ‘M’
I
C
A
A
4
B
G
D
C E
H
G
O
M
J
I L
M
S
R
R R
T
T
James Clarke (University of Cambridge) Red-Black Tree Example February 7, 2015 140 / 144
Predecessor of ‘M’
I
C
A
A
4
B
G
D
C E
H
G
O
M
J
I L
M
S
R
R R
T
T
James Clarke (University of Cambridge) Red-Black Tree Example February 7, 2015 141 / 144
Predecessor of ‘M’
I
C
A
A
4
B
G
D
C E
H
G
O
M
J
I L
M
S
R
R R
T
T
James Clarke (University of Cambridge) Red-Black Tree Example February 7, 2015 142 / 144
Predecessor of ‘M’
I
C
A
A
4
B
G
D
C E
H
G
O
M
J
I L
M
S
R
R R
T
T
James Clarke (University of Cambridge) Red-Black Tree Example February 7, 2015 143 / 144
Predecessor of ‘M’
I
C
A
A
4
B
G
D
C E
H
G
O
M
J
I L
M
S
R
R R
T
T
James Clarke (University of Cambridge) Red-Black Tree Example February 7, 2015 144 / 144
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