level=0 c=1
level=1 c=0.5,0.5
level=2 c=0.75,0.25
level=3 c=0.33333,0.33333,0.33333
level=4 c=0.5,0.25,0.25
level=5 c=0.875,0.125
level=5 c=0.625,0.375
level=6 c=0.75,0.125,0.125