6.1.3. Special Case: Input Size for Numbers

Try these first

1. 1.

   What does the term worst-case mean in algorithm analysis?

   Hint

   Think about scenarios where input makes performance degrade.

2. 2.

   How is input size typically measured for arrays?

   Hint

   Consider the total count of items.

3. 3.

   What is the primary focus of this section?

   • Analyzing average-case performance
   • Understanding input size for numbers
   • Exploring best-case scenarios

   Hint

   Reflect on the terms discussed throughout.

4. 4.

   True or False: In algorithm analysis, the magnitude of a number determines its treatment as input size.

   • True
   • False

   Hint

   Consider how numbers relate to logarithms.

5. 5.

   Develop an algorithm that checks if a number is prime. Explain the worst-case scenario and how input size affects its performance.

   Hint

   Reflect on the nature of prime numbers.

6. 6.

   Analyze and compare the performance of searching algorithms in average-case versus worst-case using different types of input datasets.

   Hint

   Experiment with inputs to visualize outcomes.