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I have looked at about fifteen of these and my solution is the same as what I'm generally seeing, but with one important difference that I think makes my solution correct where all the others are flawed:
The problem is the assumption that there is only one tournament with the max rank diff and only one player with the maximum wins. What if there are two tournaments with an exact value of 34.47381 for average rank difference? What if there are two players (or more) with exactly four wins in any tournament meeting the criterion (max average rank difference)?
The solution I have attached accounts for these possibilities. (The second one is a lot likelier than the first.) It doesn't make a difference to the result with this data, but it's a more complete and robust solution. Comments welcome.
done
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