dvanhorn

Memoization is fundamentally a top-down computation and dynamic
programming is fundamentally bottom-up.  In memoization, we observe
that a computational *tree* can actually be represented as a
computational *DAG* (the single most underrated data structure in
computer science); we then use a black-box to turn the tree into a
DAG.  But it allows the top-down description of the problem to remain
unchanged.

In dynamic programming, we make the same observation, but construct
the DAG from the bottom-up.  That means we have to rewrite the