Practice Topological Sorting - 2.2.5 | 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 total number of paths from (0,0) to (1,1) in a 2x2 grid?

💡 Hint: Consider the different orders of movements.

Question 2

Easy

If a hole exists at (1,1), how many paths are available to (2,2)?

💡 Hint: No hint provided

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 are there from (0,0) to (2,2) in an unobstructed grid?

  • 2
  • 4
  • 6

💡 Hint: Think about the different sequences of right and down movements.

Question 2

True or False: Dynamic programming requires a directed acyclic graph to visualize dependencies.

  • True
  • False

💡 Hint: Recall how dependencies are structured.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a grid with dimensions 6x6 and holes at (2,3) and (4,5), calculate how many distinct paths exist from (0,0) to (5,5).

💡 Hint: Start from (0,0) and fill row by row or column by column.

Question 2

Explain under what conditions memoization is preferable to dynamic programming.

💡 Hint: Consider the efficiency of recursive vs iterative solutions.

Challenge and get performance evaluation