Select one or more: a. Merge Sort takes more space than Insertion Sort. b. In the worst case, Quick Sort is quicker than Bubble Sort. c. Heap sort takes a fixed number of memory space. d. In the worst case, Heap Sort is one of the best algorithms in terms of time efficiency, but worst in terms of memory use e. The running time of Insertion Sort quadruples when the input size doubles. Of. In the worst case, Insertion Sort is one of the worst algorithms in terms of time efficiency, but best in terms of memory use g. Insertion Sort takes less space than Heap Sort. Oh. In the worst case, Selection Sort is quicker than Heap Sort.

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
Question
Given the time and space complexity of the following sorting algorithms, which of the following is/are true?
Note: We will only consider the worst case for both complexities
Time Complexity
Sorting Algorithms
Bubble Sort
Selection Sort
Insertion Sort
Quick Sort
Merge Sort
Heap Sort
Source: weblink
Best Case
Q(N)
Q(N^2)
Q(N)
Q(N log N)
Q(N log N)
Q(N log N)
Average Case
e(N^2)
(N^2)
O(N^2)
e(N log N)
e(N log N)
e(N log N)
Worst Case
O(N^2)
O(N^2)
O(N^2)
O(N^2)
O(N log N)
O(N log N)
Space Complexity
Worst Case
0(1)
0(1)
0(1)
O(N)
O(N)
0(1)
Select one or more:
a. Merge Sort takes more space than Insertion Sort.
b. In the worst case, Quick Sort is quicker than Bubble Sort.
c. Heap sort takes a fixed number of memory space.
Od. In the worst case, Heap Sort is one of the best algorithms in terms of time efficiency, but worst in terms of memory use
e. The running time of Insertion Sort quadruples when the input size doubles.
Of. In the worst case, Insertion Sort is one of the worst algorithms in terms of time efficiency, but best in terms of memory use
g. Insertion Sort takes less space than Heap Sort.
Oh. In the worst case, Selection Sort is quicker than Heap Sort.
Transcribed Image Text:Given the time and space complexity of the following sorting algorithms, which of the following is/are true? Note: We will only consider the worst case for both complexities Time Complexity Sorting Algorithms Bubble Sort Selection Sort Insertion Sort Quick Sort Merge Sort Heap Sort Source: weblink Best Case Q(N) Q(N^2) Q(N) Q(N log N) Q(N log N) Q(N log N) Average Case e(N^2) (N^2) O(N^2) e(N log N) e(N log N) e(N log N) Worst Case O(N^2) O(N^2) O(N^2) O(N^2) O(N log N) O(N log N) Space Complexity Worst Case 0(1) 0(1) 0(1) O(N) O(N) 0(1) Select one or more: a. Merge Sort takes more space than Insertion Sort. b. In the worst case, Quick Sort is quicker than Bubble Sort. c. Heap sort takes a fixed number of memory space. Od. In the worst case, Heap Sort is one of the best algorithms in terms of time efficiency, but worst in terms of memory use e. The running time of Insertion Sort quadruples when the input size doubles. Of. In the worst case, Insertion Sort is one of the worst algorithms in terms of time efficiency, but best in terms of memory use g. Insertion Sort takes less space than Heap Sort. Oh. In the worst case, Selection Sort is quicker than Heap Sort.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Quicksort
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
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