level=0		aj=1		g=1		ii=1
level=1		aj=0.5,0.5	g=1		ii=1
level=1		aj=1		g=0.5,0.5	ii=1
level=1		aj=1		g=1		ii=0.5,0.5
level=2		aj=1		g=0.5,0.5	ii=0.5,0.5
level=2		aj=0.5,0.5	g=1		ii=0.5,0.5
level=2		aj=0.5,0.5	g=0.5,0.5	ii=1
level=3		aj=0.5,0.5	g=0.5,0.5	ii=0.5,0.5