
Advanced Algorithms Challenge

Quiz
•
Information Technology (IT)
•
University
•
Hard
Ravindra Kumar
FREE Resource
15 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the time complexity of the Fast Fourier Transform?
O(log n)
O(n^2)
O(n)
O(n log n)
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Explain the concept of NP-Completeness with an example.
NP-Completeness is a measure of how quickly a problem can be solved using brute force.
NP-Completeness is a classification of problems that are verifiable in polynomial time and as hard as the hardest problems in NP, exemplified by the Traveling Salesman Problem.
An example of NP-Completeness is the Fibonacci sequence calculation.
NP-Completeness refers to problems that can be solved in linear time.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary purpose of approximation algorithms?
To provide random solutions without any guarantees.
To provide near-optimal solutions efficiently for hard optimization problems.
To find exact solutions for all optimization problems.
To simplify problems by ignoring constraints.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Describe the Rabin-Karp algorithm for string matching.
The Rabin-Karp algorithm is a string matching algorithm that uses hashing to find patterns in a text efficiently.
The Rabin-Karp algorithm relies on dynamic programming to match strings.
The Rabin-Karp algorithm uses brute force to find patterns in a text.
The Rabin-Karp algorithm is a sorting algorithm for strings.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the P vs NP problem?
It determines the speed of computer hardware.
The significance of the P vs NP problem lies in its implications for computational theory, cryptography, and problem-solving efficiency.
It focuses on the aesthetics of algorithm design.
It is a method for improving internet security.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does the Fast Fourier Transform improve polynomial multiplication?
The Fast Fourier Transform improves polynomial multiplication by reducing the time complexity from O(n^2) to O(n log n).
It only works for polynomials of degree two or higher.
It increases the degree of the polynomial being multiplied.
It eliminates the need for any multiplication operations.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are randomized algorithms and how do they differ from deterministic algorithms?
Randomized algorithms always produce the best possible outcome.
Deterministic algorithms use random numbers to make decisions.
Randomized algorithms are only used in sorting tasks.
Randomized algorithms incorporate randomness in their logic, while deterministic algorithms yield consistent results for the same input.
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