Homework Help is Here – Start Your Trial Now!
Engineering
Computer Engineering
Immediately after performing a union(p, q) operation in a weighted quick union (by size) data structure with n elements, let T denote the tree containing p. Which of the following properties must T have? Mark all that apply. Mark all that apply. OT is a binary tree. The root of T is either p or q. T contains the element q. The height of T is at most log, n. The height of T is at least log,2 n].

Immediately after performing a union(p, q) operation in a weighted quick union (by size) data structure with n elements, let T denote the tree containing p. Which of the following properties must T have? Mark all that apply. Mark all that apply. OT is a binary tree. The root of T is either p or q. T contains the element q. The height of T is at most log, n. The height of T is at least log,2 n].

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
See similar textbooks
icon
Related questions
Question
Please answer ASAP
Immediately after performing a union(p, q) operation in a weighted quick union (by size) data structure with n elements, let T denote the tree containing p. Which of the following properties must T have? Mark all that apply. Mark all that apply. T is a binary tree. The root of T is either p or q. T contains the element q. The height of T is at most log, n. The height of T is at least log, n].
Transcribed Image Text:Immediately after performing a union(p, q) operation in a weighted quick union (by size) data structure with n elements, let T denote the tree containing p. Which of the following properties must T have? Mark all that apply. Mark all that apply. T is a binary tree. The root of T is either p or q. T contains the element q. The height of T is at most log, n. The height of T is at least log, n].
Expert Solution
Step 1

Weighted quick-union.
• Modify quick-union to avoid tall trees.
• Keep track of size of each component.
• Balance by linking small tree below large one.

 

Union. Modify quick-union to
• merge smaller tree into larger tree
• update the sz[] array.

Analysis.
• Find: takes time proportional to depth of p and q.
• Union: takes constant time, given roots.
• Fact: depth is at most lg N.

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Computer Networking: A Top-Down Approach (7th Edi…
Computer Networking: A Top-Down Approach (7th Edi…
Computer Engineering
ISBN:
9780133594140
Author:
James Kurose, Keith Ross
Publisher:
PEARSON
Computer Organization and Design MIPS Edition, Fi…
Computer Organization and Design MIPS Edition, Fi…
Computer Engineering
ISBN:
9780124077263
Author:
David A. Patterson, John L. Hennessy
Publisher:
Elsevier Science
Network+ Guide to Networks (MindTap Course List)
Network+ Guide to Networks (MindTap Course List)
Computer Engineering
ISBN:
9781337569330
Author:
Jill West, Tamara Dean, Jean Andrews
Publisher:
Cengage Learning
Concepts of Database Management
Concepts of Database Management
Computer Engineering
ISBN:
9781337093422
Author:
Joy L. Starks, Philip J. Pratt, Mary Z. Last
Publisher:
Cengage Learning
Prelude to Programming
Prelude to Programming
Computer Engineering
ISBN:
9780133750423
Author:
VENIT, Stewart
Publisher:
Pearson Education
Sc Business Data Communications and Networking, T…
Sc Business Data Communications and Networking, T…
Computer Engineering
ISBN:
9781119368830
Author:
FITZGERALD
Publisher:
WILEY
SEE MORE TEXTBOOKS