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Algorithms Analysis and Design Quiz

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Questions and Answers

What does algorithm analysis involve?

Predicting the resources and performance of an algorithm (correct)
Creating an efficient algorithm
Analyzing the probability distribution of the input
Calculating the time complexity of an algorithm

What is space complexity?

The minimum number of operations for n inputs
The maximum number of operations for n inputs
The amount of time required to run the algorithm
The amount of memory used by the algorithm (correct)

Which case of algorithm analysis is more common?

Expected case
Worst-case (correct)
Average-case
Best-case

What does worst-case analysis provide?

Upper bound on running time (B) Signup and view all the answers

Why is average case running time harder to analyze?

It requires knowing the probability distribution of the input (D) Signup and view all the answers

What is the purpose of algorithm design?

Creating an efficient algorithm (C) Signup and view all the answers

Which notation denotes that a function is asymptotically less than or equal to another function?

Big-Oh (Upper bound) (A) Signup and view all the answers

What does the big-Theta notation denote?

Asymptotically equal to g(n) (C) Signup and view all the answers

In which type of applications is knowing the worst case time important?

Air traffic control (B) Signup and view all the answers

What is the purpose of using a wall clock in the context of the given text?

To get an accurate measure of the actual running time (A) Signup and view all the answers

What does big-Omega notation denote?

Asymptotically greater than or equal to g(n) (B) Signup and view all the answers

What does big-Oh notation represent?

An upper bound on the growth rate of a function (A) Signup and view all the answers