Suppose a BST is converted into an AVL tree. Which of the following statements is correct? a. The in-order traversal of the AVL tree and the BST will be the same. b. The pre-order traversal of the AVL tree and the BST will be the same. c. The post-order traversal of the AVL tree and the BST will be the same. d. None of the above.

3. In a B*-tree, there can be at most 4 search-key values in each node. Assume that the height of the B*-tree is 2. The height of the tree is the length of the path from the root to a leaf node. a) What is the maximum number of leaf nodes this tree can have? Answer: b) Let N1 be a node in the tree. N1 is neither a leaf nor the root. What is the minimum number of children that N1 can have? Answer:

All of the following are true EXCEPT: An empty tree is defined to have a height of 1. The depth of a node p is the number of ancestors of p, other than p itself. The height of a tree to be equal to the maximum of the depths of its nodes (or zero, if the tree is empty). The height of a node p in a tree T: • If p is a leaf, then the height of p is 0. • Otherwise, the height of p is one more than the maximum of the heights of p's children.

Rewrite the definition of the function searchNode of the class B-tree provided (bTree.h) by using a binary search. Write a C++  code to ask the user to enter a list of positive integers ending with -999, build a b- tree of order 5 using the positive integers, and display the tree contents. Also, ask the user to enter a number to search and display if the number is found in the tree. bTree.h

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