Practice Effect of Holes on Computation - 2.3.1 | 2. Inductive Formulation of the Grid Path | Design & Analysis of Algorithms - Vol 3
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the base case for paths at (0, 0)?

💡 Hint: Consider how many ways you can stay at the origin.

Question 2

Easy

If there is a hole at (1, 1), what will paths(1, 1) equal?

💡 Hint: Think about how many paths can reach a hole.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What condition states that paths equal zero?

  • When paths are from below
  • When there is a hole
  • When summing paths

💡 Hint: Remember the definition of a hole in the grid.

Question 2

Dynamic programming builds solutions in what manner?

  • True
  • False

💡 Hint: Analyze the structure of dynamic programming.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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).

💡 Hint: Create your table based on a structure where you check left and below for computations.

Question 2

Create a memoized function to compute paths in a 3x3 grid, explaining how you avoid repeated calls.

💡 Hint: Think about the strategy for storing results to prevent re-evaluation.

Challenge and get performance evaluation