AVL Tree Example: Insert 14, 17, 11, 7,

AVL Tree Example:  Insert 14, 17, 11, 7,

AVL Tree Example: Insert 14, 17, 11, 7, 53, 4, 13 into an empty AVL tree 14 11 7 4 17 53 AVL Tree Example: Insert 14, 17, 11, 7, 53, 4, 13 into an empty AVL tree 14 7 4 17 11

53 13 AVL Tree Example: Now insert 12 14 7 4 17 11 53 13 12 AVL Tree Example:

Now insert 12 14 7 4 17 11 53 12 13 AVL Tree Example: Now the AVL tree is balanced. 14 7 4

17 12 11 53 13 AVL Tree Example: Now insert 8 14 7 4 17 12 11 8

53 13 AVL Tree Example: Now insert 8 14 7 4 17 11 8 53 12 13

AVL Tree Example: Now the AVL tree is balanced. 14 11 7 4 17 12 8 53 13 AVL Tree Example: Now remove 53 14

11 7 4 17 12 8 53 13 AVL Tree Example: Now remove 53, unbalanced 14 11 7 4

17 12 8 13 AVL Tree Example: Balanced! Remove 11 11 7 4 14 8 12

17 13 AVL Tree Example: Remove 11, replace it with the largest in its left branch 8 7 4 14 12 17 13 AVL Tree Example: Remove 8, unbalanced

7 4 14 12 17 13 AVL Tree Example: Remove 8, unbalanced 7 4 12 14 13 17

AVL Tree Example: Balanced!! 12 7 4 14 13 17 In Class Exercises Build an AVL tree with the following values: 15, 20, 24, 10, 13, 7, 30, 36, 25 15, 20, 24, 10, 13, 7, 30, 36, 25 20

15 15 24 20 10 24 13 20 13 10 20 24 15 15

13 10 24 15, 20, 24, 10, 13, 7, 30, 36, 25 20 13 13 10 24 10 15 7

20 15 24 30 7 13 10 7 36 20 15 30 24 36

15, 20, 24, 10, 13, 7, 30, 36, 25 13 10 7 13 20 15 10 30 24 20 7

15 24 36 30 25 25 13 10 24 7

20 15 30 25 36 36 Remove 24 and 20 from the AVL tree. 13 10 13 24 7

10 20 30 15 25 7 15 36 7 30 25

13 10 20 36 13 30 15 10 36 25 15

7 30 25 36

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