[Stuck!]: I don’t see how to ensure all evens, because a number like 14 will give 7 remaining, then a bye is required A [Aha!]: The numbers should be powers of 2 (2ⁿ) S: I’m not sure that this doesn’t eliminate some legitimate possibilities. S: I don’t see how to check with-out just picking numbers at random to test that are even but not 2ⁿ A: Trying with random even numbers smaller than 27 ... S: Starting with 16 players means 11 byes in first round, then where do they go? S: I don’t know … if we are not to have any byes after the first round, it’s ambiguous. If we can, changes the problem completely A: Will allow byes in any round ... Each round that finished with an odd number also had a bye … S: I can’t be sure that will always be the case A: Try testing numbers near 27 to see what pattern develops [… figuring out …] A: Number of matches is N-1 always. … Number of rounds is given by the power of the next highest power of 2 ... S: I can’t nail down the pattern for the byes, although I can see one developing …