Question

Describe the differences between the top-to-bottom, bottom-to-top, and divide-and-conquer.

Better display a chart for differences

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Answer 1

Top to Bottom	Bottom to Top
1. In top to bottom we basically focus on dividing problem into smaller pieces and then solving them.	1. In bottom to top we solve the smaller problems and then combine them to solve the bigger problem
2.Each smaller piece is programmed seperately so there will be redundancy	2. Here redundancy can be minimised using techniques like data encapsulation.
3. It is mainly used in debugging and dcumentation.	3,. This approach is mainly used for testing.

Divide and Conquer : It is one of the top to bottom approach , recursive , consumes more time and which inovlves three steps in each level of recursion

1. Divide : Divide problem into sub problems.

2. Conquer : solving the subproblems recursively.

3. Combine : combining the subproblems to solve the problem.