What is the primary difference between top-down and bottom-up dynamic programmin

What is the primary difference between top-down and bottom-up dynamic programming?

What is the primary difference between top-down and bottom-up 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 top-down dynamic programming, which starts with the main problem and breaks it down into smaller subproblems using recursion.
Step 3: In top-down, when a subproblem is solved, its result is saved (this is called memoization) so it doesn't have to be solved again.
Step 4: Now, look at bottom-up dynamic programming, which starts with the smallest subproblems and builds up to the main problem iteratively.
Step 5: In bottom-up, you solve all the smaller subproblems first and use their results to solve larger subproblems until you reach the main problem.
Step 6: The key difference is that top-down uses recursion and memoization, while bottom-up uses an iterative approach to build solutions.

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