2. a) Consider the following AVL Tree. 50 / 25 75 10 Insert the following values...

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2. a) Consider the following AVL Tree. 50 / 25 75 10 Insert the following values in the given AVL Tree, one after another, an

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Answer 1

Answer #1

AVL Tree:Balancing Factor(BF) = Height of Left Subtree - Height of Right Subtree
This Balancing Factor(BF) is either 0,1,-1 then AVL Tree is balanced

Step 1: Insert keys 17

After Insertion the tree is Not balanced so Perform Double Rotate Right

Step 2: Insert key 40

Step 3: Insert key 10

After Insertion the tree is Not balanced so Perform Double Rotate Right

Step 4: Insert key 90

Step 5: Insert key 5

After Insertion the tree is Not balanced so Perform Single Rotate Right

Step 6: Insert key 100

After Insertion the tree is Not balanced so Perform Single Rotate Left

Which is Required AVL Tree after performing all Insertions

b) Given Tree from Part (a)

Delete Root: Delete 25

Node to delete has two childrens so find largest element in the left subtree

Copy largest value of the left subtree into Node to Delete

Which is Required Red/Black Tree after performing Deletion of Root

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Answer 2

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