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I assumed that the knockout tournament was a “single-elimination” tournament [ http://en.wikipedia.org/wiki/Single-elimination_tournament ]. The fun here was writing a neat function to determine the number of byes. I wrote a recursive function, so that it can be cached using the

cached()function fromenigma.py, which is fine for the relatively small number of participants in a tennis tournament. This Python code runs in 36ms.Solution:There are 130 women and 34 men in the club.