Design an algorithm for the following operations for a binary tree BT, and show the worst-case running times for each implementation

computer science

Description

Answer all questions – maximum 100 marks. You must score at least 50 to pass the assignment. 

1. (15 marks) Design an algorithm for the following operations for a binary tree BT, and show the worst-case running times for each implementation: preorderNext(x): return the node visited after node x in a pre-order traversal of BT. postorderNext(x): return the node visited after node x in a post-order traversal of BT. inorderNext(x): return the node visited after node x in an in-order traversal of BT. 

2. (25 marks) Design a recursive linear-time algorithm that tests whether a binary tree satisfies the search tree order property at every node. 

3. (20 marks) Exercise 8.2. Illustrate what happens when the sequence 1, 5, 2, 4, 3 is added to an empty ScapegoatTree, and show where the credits described in the proof of Lemma 8.3 go, and how they are used during this sequence of additions

Instruction Files

Related Questions in computer science category


Disclaimer
The ready solutions purchased from Library are already used solutions. Please do not submit them directly as it may lead to plagiarism. Once paid, the solution file download link will be sent to your provided email. Please either use them for learning purpose or re-write them in your own language. In case if you haven't get the email, do let us know via chat support.