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
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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.
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