Practice DAG Structure of Dependencies - 2.2.1 | 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

How many ways can you reach (1,1) from (0,0)?

💡 Hint: Think about the paths you can take.

Question 2

Easy

If (2,2) has a hole, how many paths lead to it?

💡 Hint: What happens if a hole blocks the way?

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

How many paths exist to (0, 0)?

  • 0
  • 1
  • 2

💡 Hint: Consider the base case.

Question 2

True or False: Dynamic programming always yields fewer calculations compared to memoization.

  • True
  • False

💡 Hint: Think about how each technique processes subproblems.

Solve 3 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a 5x5 grid with holes at (1,2), (2,2), and (3,3), calculate the total unique paths from (0,0) to (4,4).

💡 Hint: Construct a dynamic programming table or visualize the grid.

Question 2

Design a function to compute paths in an arbitrary sized grid with variable hole placements. How does the algorithm shift with each new hole introduced?

💡 Hint: Consider how the grid values propagate.

Challenge and get performance evaluation