AVL Example

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

Gambarkan step by step hasil operasi berikut:

Insert:10, 85, 15, 70, 20, 60, 30, 50, 65, 80, 90, 40, 5, 55

Insert 10, 85, 15, 70, 20, 60, 30, 50, 65, 80, 90, 40, 5, 55

Insert 85, 15, 70, 20, 60, 30, 50, 65, 80, 90, 40, 5, 55

Insert 15, 70, 20, 60, 30, 50, 65, 80, 90, 40, 5, 55

Double rotation right

Insert 15, 70, 20, 60, 30, 50, 65, 80, 90, 40, 5, 55

Insert 70, 20, 60, 30, 50, 65, 80, 90, 40, 5, 55

Insert 20, 60, 30, 50, 65, 80, 90, 40, 5, 55

Single rotation right

Insert 20, 60, 30, 50, 65, 80, 90, 40, 5, 55

Insert 60, 30, 50, 65, 80, 90, 40, 5, 55

856010

Insert 30, 50, 65, 80, 90, 40, 5, 55

856010

Insert 50, 65, 80, 90, 40, 5, 55

856010

Insert 50, 65, 80, 90, 40, 5, 55

856010

Double rotation left

Insert 50, 65, 80, 90, 40, 5, 55

856010

Insert 50, 65, 80, 90, 40, 5, 55

855010

Insert 65, 80, 90, 40, 5, 55

855010

Insert 65, 80, 90, 40, 5, 55

855010

Insert 65, 80, 90, 40, 5, 55

856010

Insert 65, 80, 90, 40, 5, 55

705010

30 65 85

Insert 80, 90, 40, 5, 55

705010

30 65 85

Insert 80, 90, 40, 5, 55

705010

30 65 85

Single rotation left

Insert 80, 90, 40, 5, 55

Insert 90, 40, 5, 55

Insert 40, 5, 55

Insert 5, 55

Insert 55

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.

Insert 10, 85, 15, 70, 20, 60, 30

Insert 85, 15, 70, 20, 60, 30

Insert 15, 70, 20, 60, 30

Insert 70, 20, 60, 30

Insert 20, 60, 30

Insert 60, 30

856010

Insert 30

856010

Delete 15, 10

856010

Delete 15, 10

Delete 10

Insert 50, 65, 80

50 8520

Single rotation left30

Insert 65, 80

50 8520

Insert 80

50 8520

Delete 20, 60

50 8520

Delete 20, 60

Delete 60

Gantikandengan

predecessor inordernya

Delete 60

50 8565

Gantikandengan

Delete 60

Insert 90, 40, 5, 55

65 8030

Insert 90, 40, 5, 55

65 8030 90

Insert 40, 5, 55

65 8030 90

Insert 5, 55

65 8030 90

Insert 55

65 8030 90

405 55

Delete 70

65 8030 90

405 55

Delete 70

65 8030 90

405 55

Gantikandengan

Delete 70

65 8030 90

405 55

Gantikandengan

Delete 70

8030 90

AVL Example

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