Practice Algorithms By Sanjay Dasgupta, Christos Papadimitriou, And Umesh Vazirani (1.8.2)

Practice: Algorithms by Sanjay Dasgupta, Christos Papadimitriou, and Umesh Vazirani

Lesson 1.8.2Design and Analysis of Algorithms

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10 questions

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6 sample questions

Question 1.
What does it mean for an algorithm to be correct?
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Think about the outputs given different valid inputs.
Question 2.
Explain Big O notation in your own words.
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Consider how algorithm efficiency is expressed mathematically.
3Question 3.
What is the main goal of algorithm correctness?
- To ensure efficiency
- To ensure the algorithm works as expected
- To reduce memory usage
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Consider what makes an algorithm reliable.
4Question 4.
True or False: Asymptotic complexity measures the efficiency of an algorithm based on how the running time changes with input size.
- True
- False
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Think about the relevance of input size in algorithm analysis.
Question 5.
Create an algorithm to sort a list using the divide and conquer method. Document each step you will take.
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Consider how the list is divided and then the methods of combining them.
Question 6.
Evaluate a problem where a greedy approach seems attractive but leads to error. Explain the shortcomings of this approach.
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Reflect on scenarios where early choices limit future options.

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