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3 cards from this section. Quick, good the night before a test.
Define the factorial of 4 using the inductive definition.
Start by breaking down 4! step by step.
What is the base case for the factorial function?
Think about what happens when you have zero items.
What is the base case for the inductive definition of factorial?
Consider what factorial means for zero.
True or False: Greedy algorithms always guarantee an optimal solution.
Consider scenarios like weighted interval scheduling.
Prove that the recursive definition of factorial is correct through induction.
Start with simple values to show it holds.
Given the interval scheduling problem with weights, design an efficient algorithm using dynamic programming.
Consider maintaining an array of best weights to avoid overlaps.
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