Implement a function or class to solve the Black-Scholed Model Partial Differential Equation. It should be able to price both European and American-style derivatives of arbitrary payoff structure (i.e. the payoff function should be a Callable). Implement full functionality: That is, calculate the price of both European and American options on dividend-paying stocks and be flexible to price other options besides standard calls and puts. Provide documentation: Provide docstrings and example usage for your implementation. It should be easy for someone looking at your code to understand how to call it and what the parameters mean. A short README.md file or example script would be useful.

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Bare bones programming language

Bare bones programming language is a low-level programming language that gives a detailed stepwise description of a program. It has a tight program design and in-depth understanding of the toolchain. It is based on the target environment and is used for safe coding practices. C programming language is a type of bare bones programming language.