Practice Inductive Solution Approach (23.7) - Dynamic Programming - Design & Analysis of Algorithms

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6 sample questions

Question 1.
What is an inductive definition?
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Think about how factorial is defined.
Question 2.
What does the base case of a recursive function provide?
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Consider what happens when n=0 in factorial.
3Question 3.
What does an inductive definition allow?
- Defining functions iteratively
- Defining functions based on smaller cases
- Neither
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Think of how factorial is structured.
4Question 4.
True or False: The optimal substructure property means a problem can be solved by combining solutions of subproblems.
- True
- False
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Recall the definitions of optimal substructure.
Question 5.
Using dynamic programming, calculate the number of ways to reach the nth Fibonacci number without recalculating each intermediate step.
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Remember how Fibonacci builds on previous results.
Question 6.
Devise an optimal solution for a modified interval scheduling problem where each request has a different weight based on the value of the request.
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Think about prioritizing requests based on weight versus duration.

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