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)
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...
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].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F88167701-6d3f-46b8-9f75-5ab21a2347bf%2Faef36a61-980a-42de-8a79-1299a1cb34a2%2F3iu46ie_processed.jpeg&w=3840&q=75)
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.
Step by step
Solved in 2 steps
Recommended textbooks for you
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 Engineering
ISBN:
9780124077263
Author:
David A. Patterson, John L. Hennessy
Publisher:
Elsevier Science
Network+ Guide to Networks (MindTap Course List)
Computer Engineering
ISBN:
9781337569330
Author:
Jill West, Tamara Dean, Jean Andrews
Publisher:
Cengage Learning
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 Engineering
ISBN:
9780124077263
Author:
David A. Patterson, John L. Hennessy
Publisher:
Elsevier Science
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
Computer Engineering
ISBN:
9781337093422
Author:
Joy L. Starks, Philip J. Pratt, Mary Z. Last
Publisher:
Cengage Learning
Prelude to Programming
Computer Engineering
ISBN:
9780133750423
Author:
VENIT, Stewart
Publisher:
Pearson Education
Sc Business Data Communications and Networking, T…
Computer Engineering
ISBN:
9781119368830
Author:
FITZGERALD
Publisher:
WILEY