Following are the various algorithms time complexities expressions. Find the dominant terms and specify the Big-Oh complexity of each algorithm.
Following are the various algorithms time complexities expressions. Find the dominant terms and specify the Big-Oh complexity of each algorithm.
C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter15: Recursion
Section: Chapter Questions
Problem 17PE
Related questions
Question
- Following are the various algorithms time complexities expressions. Find the dominant terms and specify the Big-Oh complexity of each
algorithm .
S. No. |
Expression |
Dominant term(s) |
O (. . .) |
1. |
75 + 0.001n1.3 + 0.025n + (1000)4 |
|
|
2. |
500n + 100n + 50n log10 n |
|
|
3. |
(10n1.5)4 + 0.3n + 5n6.5 + 2.5 · n2.75 |
|
|
4. |
150n3 + n2 log2 n + n(log2 n)4 |
|
|
5. |
3 log10 n + log2 log2 n |
|
|
6. |
100n4 + 0.01n2 + 200(log2 n)4 |
|
|
7. |
n3 + 0.01n + 100n2 + 5n3 |
|
|
8. |
2n0.5 + n0.35 + 0.5n0.25 |
|
|
9. |
0.01n2 log2 n + n(log2 n) |
|
|
10. |
50n3 log3 n + n5 log3 n + 100n4 |
|
|
![Following are the various algorithms time complexities expressions. Find the dominant terms and
specify the Big-Oh complexity of each algorithm.
Expression
75 + 0.001n.3 +0.025n + (1000)
500n + 100n + 50n log1o n
(10n1.5)4 +0.3n + 5nº.5 + 2.5 · n².75
150n3 + n² log2 n+n(log2 n)*
3 log10 n + log2 log, n
100n4 + 0.01n² + 200(log2 n)
n3 + 0.01n + 100n? + 5n3
2n0.3 +n0.35 +0.5n0.25
0.01n² log2 n + n(log2 n)
50n3 log3 n + n log3 n + 100nt
S. No.
Dominant term(s)
O(.)
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F18199284-3e4e-40c6-ab2e-cbea7dca5917%2Fa3281bcd-c1b7-4ab4-84b2-1f21c498d203%2F0uj9erm_processed.png&w=3840&q=75)
Transcribed Image Text:Following are the various algorithms time complexities expressions. Find the dominant terms and
specify the Big-Oh complexity of each algorithm.
Expression
75 + 0.001n.3 +0.025n + (1000)
500n + 100n + 50n log1o n
(10n1.5)4 +0.3n + 5nº.5 + 2.5 · n².75
150n3 + n² log2 n+n(log2 n)*
3 log10 n + log2 log, n
100n4 + 0.01n² + 200(log2 n)
n3 + 0.01n + 100n? + 5n3
2n0.3 +n0.35 +0.5n0.25
0.01n² log2 n + n(log2 n)
50n3 log3 n + n log3 n + 100nt
S. No.
Dominant term(s)
O(.)
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
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.Recommended textbooks for you
![C++ Programming: From Problem Analysis to Program…](https://www.bartleby.com/isbn_cover_images/9781337102087/9781337102087_smallCoverImage.gif)
C++ Programming: From Problem Analysis to Program…
Computer Science
ISBN:
9781337102087
Author:
D. S. Malik
Publisher:
Cengage Learning
![C++ Programming: From Problem Analysis to Program…](https://www.bartleby.com/isbn_cover_images/9781337102087/9781337102087_smallCoverImage.gif)
C++ Programming: From Problem Analysis to Program…
Computer Science
ISBN:
9781337102087
Author:
D. S. Malik
Publisher:
Cengage Learning