Practice Using Dynamic Programming on the Grid - 2.2 | 2. Inductive Formulation of the Grid Path | Design & Analysis of Algorithms - Vol 3
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Using Dynamic Programming on the Grid

2.2 - Using Dynamic Programming on the Grid

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define what dynamic programming is.

💡 Hint: Think about strategies to optimize complex problems.

Question 2 Easy

What will be the value of paths(0,0)?

💡 Hint: Consider how many movements are needed to stay put.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What are the two valid moves on the grid?

Up and Down
Left and Right
Right and Up

💡 Hint: Think about how you navigate through a checkerboard.

Question 2

True or False: Dynamic programming is equivalent to brute force methods.

True
False

💡 Hint: Recall the essence of optimization in programming.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a 4x4 grid with holes at positions (1,1) and (2,2), calculate the number of ways to get from (0,0) to (3,3).

💡 Hint: Start by laying out the grid and systematically fill in values on the way.

Challenge 2 Hard

Design an algorithm that identifies the optimal path through a grid containing multiple holes while visiting all non-holes.

💡 Hint: Think about how you'd navigate challenges while ensuring all lanes are covered.

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