In an AVL tree the height of the left and the right subtrees of each node can differ by at most 1. Why are AVL trees preferred if a perfect balance can be achieved by having both the left and right subtrees of each node at the same height? Demonstrate your argument with the help of an example. b. Starting with an empty tree, contruct an AVL tree by inserting the following numbers into the tree (in the same order). Mention the balance of each node and the rotation performed (if required) at each step. 30, 45, 41, 32, 31, 27, 57 12:20 AM

Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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In an AVL tree the height of the left
and the right subtrees of each
node can differ by at most 1. Why
are AVL trees preferred if a perfect
balance can be achieved by having
both the left and right subtrees
of each node at the same height?
Demonstrate your argument with
the help of an example.
b. Starting with an empty tree,
contruct an AVL tree by inserting
the following numbers into the tree
(in
the same order). Mention the
balance of each node and the
rotation performed (if required) at
each step.
30, 45, 41, 32, 31, 27, 57
12:20 AM
Transcribed Image Text:In an AVL tree the height of the left and the right subtrees of each node can differ by at most 1. Why are AVL trees preferred if a perfect balance can be achieved by having both the left and right subtrees of each node at the same height? Demonstrate your argument with the help of an example. b. Starting with an empty tree, contruct an AVL tree by inserting the following numbers into the tree (in the same order). Mention the balance of each node and the rotation performed (if required) at each step. 30, 45, 41, 32, 31, 27, 57 12:20 AM
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