Practice Examples of Input Sizes - 6.1.2 | 6. Input Size and Running Time | Design & Analysis of Algorithms - Vol 1
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6.1.2 - Examples of Input Sizes

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does input size refer to in the context of algorithms?

💡 Hint: Think about how different problems might require different types of data.

Question 2

Easy

Can you name a problem where the worst-case analysis is particularly relevant?

💡 Hint: Consider scenarios of searching in lists.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What does input size primarily represent in algorithm analysis?

  • The value of numbers
  • The amount of space needed to represent data
  • The speed of execution

💡 Hint: Think about how the representation of data can impact processing.

Question 2

True or False: In primality checking algorithms, the size of the input is based on the numeric value of the number being checked.

  • True
  • False

💡 Hint: What do we focus on when analyzing digits versus values?

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Design an algorithm to find the largest prime number less than a given number n. Discuss the impact of input size on the efficiency of your algorithm.

💡 Hint: Consider how prime checking scales with larger n.

Question 2

Analyze a sorting algorithm of your choice, identifying how different input sizes affect its performance in worst-case scenarios.

💡 Hint: Think about pivot selection strategies and their impacts.

Challenge and get performance evaluation