What is the main difference between top-down and bottom-up approaches in dynamic
Practice Questions
Q1
What is the main difference between top-down and bottom-up approaches in dynamic programming?
Top-down uses recursion, bottom-up uses iteration
Top-down is faster than bottom-up
Bottom-up is more space efficient than top-down
There is no difference
Questions & Step-by-Step Solutions
What is the main difference between top-down and bottom-up approaches in dynamic programming?
Step 1: Understand that dynamic programming is a method for solving problems by breaking them down into simpler subproblems.
Step 2: Learn about the top-down approach, which starts with the main problem and breaks it down into smaller problems using recursion.
Step 3: In the top-down approach, when a subproblem is solved, its result is saved (this is called memoization) to avoid solving it again.
Step 4: Now, learn about the bottom-up approach, which starts with the smallest subproblems and solves them first.
Step 5: In the bottom-up approach, you build up the solution iteratively, meaning you solve each subproblem one at a time until you reach the main problem.
Step 6: Remember that the key difference is that top-down uses recursion and memoization, while bottom-up builds the solution step by step.
