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## math, logic, dynamic programming
<br>
### dynamic programming
<br>
* take a recursive algorithm and cache overlapping problems (repeated calls).
* the runtime is given by the number of calls.
* **top-down**: how can we divide the problem into sub-problems?
* top-down dynamic programming is called **memoization**.
* **bottom-up**: solve for a simple case, then figure out for more elements.
## math
<br>