Practice Grid Paths (42.1) - Grid paths - Data Structures and Algorithms in Python
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Grid Paths

Practice - Grid Paths

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

How many paths are there from (0,0) to (2,2) with movement only right or up?

💡 Hint: Use the combination formula C(4,2).

Question 2 Easy

What movement constraints are present for grid paths?

💡 Hint: Think of one-way streets.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the total number of paths from (0,0) to (5,10)?

1000
3003
50

💡 Hint: Think of total moves and how they can be distributed.

Question 2

True or False: You can move downwards in grid paths.

True
False

💡 Hint: Consider the direction of allowed moves.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Determine and justify the number of distinct paths from (0, 0) to (6, 6) with blocked blocks at (2, 2) and (4, 4).

💡 Hint: Draw out the grid and mark the routes.

Challenge 2 Hard

Create an optimized algorithm using dynamic programming that counts paths when several blocks exist and explain your approach.

💡 Hint: Consider how values depend on previous calculations.

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