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Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 1
IKI10400 • Struktur Data & Algoritma:
Fakultas Ilmu Komputer • Universitas Indonesia
Slide acknowledgments:Bayu DistiawanTim dosen:
Ruli Manurung, Tisha Melia , Bayu Distiawan , Clara Vania , Zaki Rahman
AVL Tree Example Operation
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 2
Gambarkan step by step hasil operasi berikut:
Insert:10, 85, 15, 70, 20, 60, 30, 50, 65, 80, 90, 40, 5, 55
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 3
Insert 10, 85, 15, 70, 20, 60, 30, 50, 65, 80, 90, 40, 5, 55
10
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 4
Insert 85, 15, 70, 20, 60, 30, 50, 65, 80, 90, 40, 5, 55
10
85
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 5
Insert 15, 70, 20, 60, 30, 50, 65, 80, 90, 40, 5, 55
10
85
15
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 6
Insert 15, 70, 20, 60, 30, 50, 65, 80, 90, 40, 5, 55
10
85
15
Double rotation right
left
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 7
Insert 15, 70, 20, 60, 30, 50, 65, 80, 90, 40, 5, 55
10
15
85
Double rotation right
left
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 8
Insert 15, 70, 20, 60, 30, 50, 65, 80, 90, 40, 5, 55
15
8510
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 9
Insert 70, 20, 60, 30, 50, 65, 80, 90, 40, 5, 55
15
8510
70
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 10
Insert 20, 60, 30, 50, 65, 80, 90, 40, 5, 55
15
8510
70
20
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 11
Insert 20, 60, 30, 50, 65, 80, 90, 40, 5, 55
15
8510
70
20
Single rotation right
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 12
Insert 20, 60, 30, 50, 65, 80, 90, 40, 5, 55
15
7010
20 85
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 13
Insert 60, 30, 50, 65, 80, 90, 40, 5, 55
15
7010
20 85
60
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 14
Insert 60, 30, 50, 65, 80, 90, 40, 5, 55
15
7010
20 85
60
Double rotation right
left
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 15
Insert 60, 30, 50, 65, 80, 90, 40, 5, 55
15
2010
85
70
60
Double rotation right
left
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 16
Insert 60, 30, 50, 65, 80, 90, 40, 5, 55
20
7015
856010
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 17
Insert 30, 50, 65, 80, 90, 40, 5, 55
20
7015
856010
30
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 18
Insert 50, 65, 80, 90, 40, 5, 55
20
7015
856010
30
50
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 19
Insert 50, 65, 80, 90, 40, 5, 55
20
7015
856010
30
50
Double rotation left
right
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 20
Insert 50, 65, 80, 90, 40, 5, 55
20
7015
856010
50
30
Double rotation left
right
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 21
Insert 50, 65, 80, 90, 40, 5, 55
20
7015
855010
30 60
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 22
Insert 65, 80, 90, 40, 5, 55
20
7015
855010
30 60
65
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 23
Insert 65, 80, 90, 40, 5, 55
20
7015
855010
30 60
65
Double rotation left
right
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 24
Insert 65, 80, 90, 40, 5, 55
20
7015
856010
50 65
30
Double rotation left
right
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 25
Insert 65, 80, 90, 40, 5, 55
20
15
705010
30 65 85
60
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 26
Insert 80, 90, 40, 5, 55
20
15
705010
30 65 85
60
80
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 27
Insert 80, 90, 40, 5, 55
20
15
705010
30 65 85
60
80
Single rotation left
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 28
Insert 80, 90, 40, 5, 55
20 70
5015
30
65 85
80
Single rotation left
10
60
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 29
Insert 90, 40, 5, 55
20 70
5015
30
65 85
8010
60
90
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 30
Insert 40, 5, 55
20 70
5015
30
65 85
8010
60
90
40
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 31
Insert 40, 5, 55
20 70
5015
30
65 85
8010
60
90
40
Double rotation left
right
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 32
Insert 40, 5, 55
20 70
5015
40
65 85
8010
60
90
30
Double rotation left
right
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 33
Insert 40, 5, 55
20 70
15
30
65 85
8010
60
9050
Double rotation left
right
40
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 34
Insert 5, 55
20 70
15
30
65 85
8010
60
9050
40
5
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 35
Insert 5, 55
20 70
15
30
65 85
8010
60
9050
40
5
Single rotation right
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 36
Insert 5, 55
20 70
30
65 85
805
60
9050
40
15
10
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 37
Insert 55
20 70
30
65 85
805
60
9050
40
15
10
55
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 38
AVL Trees: Latihan
Coba simulasikan urutan proses pada sebuah AVL Tree berikut ini
insert 10, 85, 15, 70, 20, 60, 30,
delete 15, 10,
insert 50, 65, 80,
delete 20, 60,
insert 90, 40, 5, 55
delete 70
Gambarkan kondisi akhir dari AVL Tree tersebut.
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 39
Insert 10, 85, 15, 70, 20, 60, 30
10
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 40
Insert 85, 15, 70, 20, 60, 30
10
85
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 41
Insert 15, 70, 20, 60, 30
10
85
15
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 42
Insert 15, 70, 20, 60, 30
10
85
15
Double rotation right
left
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 43
Insert 15, 70, 20, 60, 30
10
15
85
Double rotation right
left
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 44
Insert 15, 70, 20, 60, 30
15
8510
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 45
Insert 70, 20, 60, 30
15
8510
70
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 46
Insert 20, 60, 30
15
8510
70
20
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 47
Insert 20, 60, 30
15
8510
70
20
Single rotation right
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 48
Insert 20, 60, 30
15
7010
20 85
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 49
Insert 60, 30
15
7010
20 85
60
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 50
Insert 60, 30
15
7010
20 85
60
Double rotation right
left
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 51
Insert 60, 30
15
2010
85
70
60
Double rotation right
left
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 52
Insert 60, 30
20
7015
856010
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 53
Insert 30
20
7015
856010
30
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 54
Delete 15, 10
20
7015
856010
30
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 55
Delete 15, 10
20
7010
8560
30
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 56
Delete 15, 10
20
7010
8560
30
Double rotation right
left
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 57
Delete 15, 10
20
6010
7030
Double rotation right
left
85
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 58
Delete 15, 10
60
20 70
30
Double rotation right
left
8510
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 59
Delete 10
60
20 70
30 85
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 60
Insert 50, 65, 80
60
20 70
30 85
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 61
Insert 50, 65, 80
60
20 70
30 85
50
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 62
Insert 50, 65, 80
60
20 70
30 85
50
Single rotation left
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 63
Insert 50, 65, 80
60
70
50 8520
Single rotation left30
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 64
Insert 65, 80
60
70
50 8520
30
65
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 65
Insert 80
60
70
50 8520
30
65
80
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 66
Delete 20, 60
60
70
50 8520
30
65
80
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 67
Delete 20, 60
60
70
50 85
30
65
80
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 68
Delete 60
70
50 85
30
65
80
Gantikandengan
predecessor inordernya
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 69
Delete 60
70
50 8565
80
Gantikandengan
predecessor inordernya
30
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 70
Delete 60
50
7030
8565
80
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 71
Delete 60
50
7030
8565
80
Single rotation left
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 72
Delete 60
70
50 85
65 80
Single rotation left
30
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 73
Insert 90, 40, 5, 55
70
50 85
65 8030
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 74
Insert 90, 40, 5, 55
70
50 85
65 8030 90
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 75
Insert 40, 5, 55
70
50 85
65 8030 90
40
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 76
Insert 5, 55
70
50 85
65 8030 90
405
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 77
Insert 55
70
50 85
65 8030 90
405 55
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 78
Delete 70
70
50 85
65 8030 90
405 55
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 79
Delete 70
50 85
65 8030 90
405 55
Gantikandengan
predecessor inordernya
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 80
Delete 70
50 85
65 8030 90
405 55
Gantikandengan
predecessor inordernya
Fasilkom UI • IKI10400 Struktur Data & Algoritma 2010/11 • Genap • Kuliah 10 81
Delete 70
65
50 85
8030 90
405
55
