Practice Implementing With Recursion And Memoization (42.1.6) - Grid paths
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Implementing with Recursion and Memoization

Practice - Implementing with Recursion and Memoization

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the total number of paths from (0, 0) to (2, 1)?

💡 Hint: Think about the combinations of movements.

Question 2 Easy

What movement directions are allowed in grid paths?

💡 Hint: Consider the horizontal and vertical movements.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the number of unique paths from (0, 0) to (2, 1)?

2
3
4

💡 Hint: Consider the required moves to reach the end point.

Question 2

True or False: Dynamic programming only calculates paths that contribute to the final answer.

True
False

💡 Hint: Reflect on the purpose of dynamic programming in computing independently of the final result.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Create a function that computes the number of valid paths in a grid of size (n, m) with k blocked intersections randomly placed. Account for the overhead of blocked spaces in your calculations.

💡 Hint: Think about how you can dynamically adjust your blocked spaces as the function computes.

Challenge 2 Hard

Propose an algorithm that not only counts paths but also lists them based on their unique sequences of moves. How would you store and display these sequences?

💡 Hint: Consider how paths can branch out and how you can track those paths towards your goal.

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Reference links

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