(5pts) Write a Java Method which checks whether a tree is an AVL tree.

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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5. (5pts) Write a Java Method which checks whether a tree is an AVL tree.
6. (30pts): Write a Java Method to implement insertion of a node with tree rebalancing. After
inserting a node, it is necessary to check each of the node's ancestors for consistency with
the rules of AVL. For each node checked. if the balance factor remains -1, 0. or I then no
rotations are necessary. However, if the balance factor becomes 2 or 2 then the subtree
rooted at this node is unbalanced. If insertions are performed serially, after each insertion, at
most two tree rotations are needed to restore the entire tree to the rules of AVL
Transcribed Image Text:5. (5pts) Write a Java Method which checks whether a tree is an AVL tree. 6. (30pts): Write a Java Method to implement insertion of a node with tree rebalancing. After inserting a node, it is necessary to check each of the node's ancestors for consistency with the rules of AVL. For each node checked. if the balance factor remains -1, 0. or I then no rotations are necessary. However, if the balance factor becomes 2 or 2 then the subtree rooted at this node is unbalanced. If insertions are performed serially, after each insertion, at most two tree rotations are needed to restore the entire tree to the rules of AVL
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