Practice Boundary Conditions - 2.1.2 | 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 path count to reach the point (2, 2) in a grid without any holes?

💡 Hint: Consider the unique routes without obstruction.

Question 2

Easy

How many paths are possible to (0,0)?

💡 Hint: Think about moving or not moving.

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 lead to the point (3,3) in a grid from (0,0) with no obstructions?

  • 4
  • 6
  • 8

💡 Hint: Think about how many ways you can arrange moving right and up.

Question 2

True or False: Dynamic programming only solves each problem once.

  • True
  • False

💡 Hint: Reflect on how it builds solutions from the ground up.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a 4x4 grid with holes at (2,1) and (3,3), calculate the unique paths from (0,0) to (3,3).

💡 Hint: Map out each possible movement and count how many actually reach (3,3).

Question 2

Create a dynamic programming solution to count paths in a grid with multiple holes, detailing algorithm steps.

💡 Hint: Think about how each hole affects adjacent path calculations.

Challenge and get performance evaluation