What is an asymptotic notation that best describes the height of the resulting binary search tree? In a sentence or two, explain why. What is an asymptotic notation that best describes the time required to insert another key into that binary search tree after it's been built, assuming the key was chosen completely at random and not subject to the arrangement described above? In a sentence or two, explain why.

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
icon
Related questions
icon
Concept explainers
Question

Let's assume that there are n keys that have been inserted in this fashion, and let's also assume that the keys (after sorting) are not entirely consecutive (i.e., each key is not 1 greater than the key preceding it). Answer the following questions about the resulting binary search tree.

  1. What is an asymptotic notation that best describes the height of the resulting binary search tree? In a sentence or two, explain why.
  2. What is an asymptotic notation that best describes the time required to insert another key into that binary search tree after it's been built, assuming the key was chosen completely at random and not subject to the arrangement described above? In a sentence or two, explain why.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Heuristic System
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education