Please answer all the questions from this document.
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Homework-5_Module7.docx
Name:
Homework 5
Question 1 [7 pts]
Describe how an algorithm with linear time complexity behaves.
Describe how an algorithm with exponential time complexity behaves.
Question 2 [7 pts]
Describe time and space complexity of an algorithm. Explain the relationship between them.
Question 3 [7 pts]
Describe polynomial time (
P
) and nondeterministic polynomial time (
NP
) algorithms. What is the difference between them? Give examples to each.
Question 4 [7 pts]
What is an NP-complete problem? Describe the factoring problem that the RSA algorithm is based on.
Question 5 [7 pts]
Which of the following statements are correct?
· Quadratic time complexity is a type of polynomial complexity
· Superpolynomial time complex algorithms are harder to solve than algorithms with exponential time complexity.
· Trying to find the 128-bit key of a cipher text encrypted with AES is a problem with exponential complexity
· Factoring problem that RSA is using is not probably an NP-complete problem.
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