The bracket tree can't work like that
After 1 day, in your scenario, there would be 14 teams left. You need a power of 2 left to have a bracket with no additional byes.
What would work is to leave the 15th team out. Then 3-14 play the first day with 1&2 getting byes. That would leave 8 teams after day 1.
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In response to this post by lchoro)
Posted: 03/10/2017 at 10:45AM