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Another view of the hashing is that throwing m balls into n bins.
m
n
There are some useful notes:
https://pdfs.semanticscholar.org/e897/a9be45cce237fa48a8632af0725cb6c0f359.pdf
https://people.eecs.berkeley.edu/~sinclair/cs271/n16.pdf
https://www.cs.cmu.edu/~avrim/Randalgs11/lectures/lect0202.pdf