Topic: Trees
![(a) Draw a maximally balanced binary search tree that can be produced from the elements: 1,2,3,4,5,6,7,8,9. Hint a maximally balanced binary search tree minimises the average depth of its elements. 3 marks] (b) Draw a sequence of diagrams showing the insertion of the values: [1, 9,8,7,2,3,6, 4, 5] into an empty AVL tree, in the order shown above. You must: . Show the resulting tree immediately after each insertion step (that is before any balancing has taken place Show the resulting tree after balancing operation(s). [10 marks] (c) What are the requirements for a tree to be a 5-way B-tree? 6 marks] (d) What is the complexity for searching/adding/removing from an AVL tree with n nodes. What is the complexity for searching/adding/removing from a 5-way B-tree with n nodes. 6 marks]](https://media.cheggcdn.com/media%2F460%2F46064651-1e23-4dd6-8a70-ca17ca05fe2f%2FphpE3fU9H.png)
(a)
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(Solved) : Draw Maximally Balanced Binary Search Tree Produced Elements 1 2 3 4 5 6 7 8 9 Hint Maxima Q29975487 . . . .
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