Practice Column by Column Computation - 2.2.4 | 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 paths exist from (0,0) to (1,1) in a grid with no obstacles?

💡 Hint: Consider the two possible movements: right then up, or up then right.

Question 2

Easy

What is the number of paths from (0,0) to (0,0)?

💡 Hint: Think about staying in the same spot.

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 ways can you reach (0,0) from (0,0)?

  • 1
  • 0
  • More than 1

💡 Hint: Think about the simplest path.

Question 2

Dynamic programming guarantees fewer calls than memoization.

  • True
  • False

💡 Hint: Reflect on the efficiencies of direct vs recursive strategies.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

How would you compute paths in a grid of size 100x100 with random holes placed throughout?

💡 Hint: Think about the memory storage needed for computations.

Question 2

Propose a new method to slim down the computations further in this grid-path scenario.

💡 Hint: Integrate heuristic searches that rely on grid layout.

Challenge and get performance evaluation