A *writes down "1+1+1+1+1+1+1+1 =" on a sheet of paper*

A : "What's that equal to?"
B : *counting* "Eight!"

A *writes down another "1+" on the left*
A : "What about that?"
B : *quickly* "Nine!"
A : "How'd you know it was nine so fast?"
A : "You just added one more"
A : "So you didn't need to recount because you remembered there were eight! Dynamic Programming is just a fancy way to say 'remembering stuff to save time later'"

1. Think of a recursive approach to solving the problem.
    Essentially expressing the problem P(X) in terms of P(Y) or an expression involving P(Yi)
            where Yi is less than X.
    The "less than" here could mean multiple things. if X is an integer, then it could mean less than arithmetically.
    If X is a string, it could mean a substring of X.
    If X is an array, it could mean a subarray of X, and so forth.

2. Write a recursive code for the approach you just thought of.
            Lets say your function definition looks like this :
                    solve(A1, A2, A3 ... )

3. Save the results you get for every function run so that if solve(A1, A2, A3, ... ) is called again, you do not recompute the whole thing.

4. Analyze the space and time requirements, and improve it if possible.

    And voila, we have a DP solution ready.