$30.00

## Description

The programs *bs**t**N**o**de**.**j**ava** *and *b**s**t**_o**p**s.**j**a**va** *in the class webpage contain implementations of basic binary search tree operations, including insertion, deletion, search and display.

Modify the code to include the following operations:

1) Inorder traversal using a stack instead of recursion (feel free to use the built–in stack operation).

2) Iterative version of the search operation.

3) Building a balanced binary search tree given a sorted array as input. Note: this should not use the insert operation, the tree must be built directly from the array in O(n) time.

4) Extracting the elements in a binary search tree into a sorted array. As above, this should be done in O(n) time.

5) Printing the elements in a binary tree ordered by depth. The root has depth 0, the root’s children have depth one,

and so on. For example, for the tree in the figure, your program should output:

Keys at depth 0: 10

^{Keys at depth 1: 4 15}

^{Keys at depth 2: 2 8 12 18}

^{Keys at depth 3: 1 3 5 9}

Keys at depth 4: 7

As usual, write a report describing your work.