Practice Initial Conditions - 2.1.3 | 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 are there to the point (0,0)?

💡 Hint: Consider your starting point.

Question 2

Easy

What happens to the path count if there’s a hole at (2,3)?

💡 Hint: Think about the implications of obstacles.

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 is the path count from (0,0) to (0,0)?

  • 0
  • 1
  • More than 1

💡 Hint: Think about movement options.

Question 2

Paths to a point with a hole are counted as?

  • True
  • False

💡 Hint: Remember the role of obstacles.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

In a 6x6 grid with holes at (2,2) and (3,3), compute the number of paths to (5,5) through dynamic programming and illustrate your table.

💡 Hint: Start with your base cases and fill each cell considering blockage from holes.

Question 2

Construct a comprehensive table showing both memoized and dynamically programmed solutions for a 5x5 grid with four holes randomly distributed.

💡 Hint: Use both methods to fill the same grid and compare the resulting path counts, especially noting differences in efficiency.

Challenge and get performance evaluation