6. Perform TREE-SEARCH(root, "BUCKS"). How many node keys were compared with parameter value BUCKS? 7. Perform TREE-SEARCH(root, "HEAT"). Which node key was the last one to be compared with parameter value HEAT? 8. How many nodes would have to be added to the tree for it to become a full binary tree?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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3. Binary Search Tree and AVL Tree

This problem will compare the difference between an ordinary BST (henceforth
referred to as just BST) and an AVL Tree. Assume the following:
• The problem starts with an empty BST and an empty AVL Tree
• Follow a lexicographic/dictionary order on the keys
• You will be creating 2 trees by inserting the key values in the sequence they are
given. 1 tree will be a BST and the other is an AVL tree
After completing all insertions, answer the questions below based on the resulting
BST and AVL tree. There are 8 questions so you should have a total of 16 answers (1
answer for BST and 1 answer for AVL).
Answer format:
• write strings in ALL CAPS (ex. DOG instead of Dog)
• write numbers in Arabic numerals (ex. 1 instead of one)
• write NIL when referring to an empty node
Insert the following key values in this sequence for both trees: BUCKS, WIZARDS,
CAVALIERS, RAPTORS, CELTICS, PACERS, HAWKS, NETS, HEAT
Transcribed Image Text:This problem will compare the difference between an ordinary BST (henceforth referred to as just BST) and an AVL Tree. Assume the following: • The problem starts with an empty BST and an empty AVL Tree • Follow a lexicographic/dictionary order on the keys • You will be creating 2 trees by inserting the key values in the sequence they are given. 1 tree will be a BST and the other is an AVL tree After completing all insertions, answer the questions below based on the resulting BST and AVL tree. There are 8 questions so you should have a total of 16 answers (1 answer for BST and 1 answer for AVL). Answer format: • write strings in ALL CAPS (ex. DOG instead of Dog) • write numbers in Arabic numerals (ex. 1 instead of one) • write NIL when referring to an empty node Insert the following key values in this sequence for both trees: BUCKS, WIZARDS, CAVALIERS, RAPTORS, CELTICS, PACERS, HAWKS, NETS, HEAT
6. Perform TREE-SEARCH(root,
"BUCKS"). How many node keys
were compared with parameter
value BUCKS?
7. Perform TREE-SEARCH(root,
"HEAT"). Which node key was the
last one to be compared with
parameter value HEAT?
8. How many nodes would have to
be added to the tree for it to
become a full binary tree?
III
11
Transcribed Image Text:6. Perform TREE-SEARCH(root, "BUCKS"). How many node keys were compared with parameter value BUCKS? 7. Perform TREE-SEARCH(root, "HEAT"). Which node key was the last one to be compared with parameter value HEAT? 8. How many nodes would have to be added to the tree for it to become a full binary tree? III 11
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