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Please write a function to perform multinomial sampling. This function should take the following inputs:
- keys: a list of options to select from (e.g. keys = ['blue', 'green', 'red'])
- weights: a list of non-negative weights for each key (e.g. weights = [2,

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(as is available in Python and R). We would like you to develop a solution that does not rely on any other types of random sampling routines.