6.1.2 - Examples of Input Sizes
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Practice Questions
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What does input size refer to in the context of algorithms?
💡 Hint: Think about how different problems might require different types of data.
Can you name a problem where the worst-case analysis is particularly relevant?
💡 Hint: Consider scenarios of searching in lists.
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Interactive Quizzes
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What does input size primarily represent in algorithm analysis?
💡 Hint: Think about how the representation of data can impact processing.
True or False: In primality checking algorithms, the size of the input is based on the numeric value of the number being checked.
💡 Hint: What do we focus on when analyzing digits versus values?
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Challenge Problems
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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.
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.
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