There are generally two ways of implementing dynamic programming solutions to problems, which have equal asymptotic time complexities. (The details of the problem may determine which is better in a given situation). What are they?

Select two:

1) Bottom-up

2) Left-to-right

3) Right-to-left

4) Top-down

1) Bottom-up

2) Top-down

Explanation:

In general dynamic programming is a divide and conquer strategy which can be implemented using bottom up approach or top down approach.

Bottom-up approach in dynamic programming will solve a relatively simple sub-problem first and then use the solution to build and arrive at solutions to a bigger sub-problem.

Top down approach is reversed to bottom-up approach and is also known as Memoization Method. Instead of solving a problem started from the base state sub-problem, the top down approach break a problem into a smaller problems from the top most destination state until it reaches the bottom most base state.