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Here is my solution to the 2007 mathematical contest in modeling. This was written in about 72 hours (hence the suboptimal code quality) and without much background in Python (hence the unidiomatic code). model.py was the original attempt, and I rewrote it as model2.py to run the final simulations. I don't remember exactly how to use it, but I remember tweaking the last couple of lines in various ways to get it to run with different parameters.