Practice Effect Of Holes On Computation (2.3.1) - Inductive Formulation of the Grid Path

Practice: Effect of Holes on Computation

Lesson 2.3.1Inductive Formulation of the Grid Path

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9 questions

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6 sample questions

Question 1.
What is the base case for paths at (0, 0)?
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Consider how many ways you can stay at the origin.
Question 2.
If there is a hole at (1, 1), what will paths(1, 1) equal?
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Think about how many paths can reach a hole.
3Question 3.
What condition states that paths equal zero?
- When paths are from below
- When there is a hole
- When summing paths
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Remember the definition of a hole in the grid.
4Question 4.
Dynamic programming builds solutions in what manner?
- True
- False
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Analyze the structure of dynamic programming.
Question 5.
Given a 5x5 grid with holes at (2, 2) and (3, 3), outline a path-finding algorithm that utilizes dynamic programming to calculate how to reach (4, 4).
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Create your table based on a structure where you check left and below for computations.
Question 6.
Create a memoized function to compute paths in a 3x3 grid, explaining how you avoid repeated calls.
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Think about the strategy for storing results to prevent re-evaluation.

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