Practice Design And Analysis Of Algorithms (7.1) - Design and Analysis of Algorithms

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9 questions

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6 sample questions

Question 1.
Name one notation used to express upper bounds of algorithms.
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Think of how we describe the maximum running time.
Question 2.
What does Omega notation represent?
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Consider what the minimum performance of an algorithm could be.
3Question 3.
What does Big O notation signify?
- A lower bound of time complexity
- An upper bound of time complexity
- Both upper and lower bounds
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Think of how it sets limits on performance.
4Question 4.
True or False: Omega notation provides the upper limit of an algorithm's efficiency.
- True
- False
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Consider what the expression of efficiency means.
Question 5.
Prove that t(n) = 3n^2 + 5n + 1 is Θ(n^2). Provide constants to support your argument.
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Consider selecting `c1 = 1` and `c2 = 4` for large enough `n`.
Question 6.
Find an example of an algorithm and determine its time complexity using Big O, Omega, and Theta notations.
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Remember to analyze the best and worst cases.

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