Problem: Using an AVL Tree, create a Balanced Binary Search Tree for the following list (ordered by insert): A = [7, 2, 1, 3, 5, 8, 9, 10, 6, 1] Show how the tree changes for each insert and rotation. Also show the height at each subtree. Describe any imbalance in the tree (e.g. LL, LR, RL, RR). Then show how to fix the imbalances through rotations. In other words, draw the tree for each major change (e.g. insert / rotation), showing the transitions with arrows. Recall for AVL Trees: Balance Factor height(left) - height(right) = For every node the Balance Factor| ≤ 1
Problem: Using an AVL Tree, create a Balanced Binary Search Tree for the following list (ordered by insert): A = [7, 2, 1, 3, 5, 8, 9, 10, 6, 1] Show how the tree changes for each insert and rotation. Also show the height at each subtree. Describe any imbalance in the tree (e.g. LL, LR, RL, RR). Then show how to fix the imbalances through rotations. In other words, draw the tree for each major change (e.g. insert / rotation), showing the transitions with arrows. Recall for AVL Trees: Balance Factor height(left) - height(right) = For every node the Balance Factor| ≤ 1
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![Problem: Using an AVL Tree, create a Balanced Binary Search Tree for the
following list (ordered by insert):
A = [7, 2, 1, 3, 5, 8, 9, 10, 6, 1]
Show how the tree changes for each insert and rotation. Also show the height
at each subtree. Describe any imbalance in the tree (e.g. LL, LR, RL, RR).
Then show how to fix the imbalances through rotations. In other words, draw
the tree for each major change (e.g. insert / rotation), showing the transitions
with arrows.
Recall for AVL Trees:
Balance Factor height(left) - height(right)
=
For every node the Balance Factor| ≤ 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F66608611-4921-4f8f-b379-f14150b42331%2F1bd09fb5-2c16-48dd-aef7-098d0ac5d4f0%2F45qvaks_processed.png&w=3840&q=75)
Transcribed Image Text:Problem: Using an AVL Tree, create a Balanced Binary Search Tree for the
following list (ordered by insert):
A = [7, 2, 1, 3, 5, 8, 9, 10, 6, 1]
Show how the tree changes for each insert and rotation. Also show the height
at each subtree. Describe any imbalance in the tree (e.g. LL, LR, RL, RR).
Then show how to fix the imbalances through rotations. In other words, draw
the tree for each major change (e.g. insert / rotation), showing the transitions
with arrows.
Recall for AVL Trees:
Balance Factor height(left) - height(right)
=
For every node the Balance Factor| ≤ 1
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