2048
root: *noder1 *noder2 *noder3 *noder4
noder1: *root *node11 *node12 *noder1v
noder1v: 1 1 1 *noder1
node11: *root *root 0 *q1grad
node12: *root 0 *root *q1grad
noder2: *node21 *root *noder2v *node22
noder2v: 1 1 *noder2 1
node21: *root *root *q2grad 0
node22: 0 *root *q2grad *root
noder3: *node31 *noder3v *root *node32
noder3v: 1 *noder3 1 1
node31: *root *q3grad *root 0
node32: 0 *q3grad *root *root
noder4: *noder4v *node41 *node42 *root
noder4v: *noder4 1 1 1 
node41: *q4grad *root 0 *root  
node42: *q4grad 0 *root *root
q1grad: 0 *q1grad *q1grad 1
q2grad: *q2grad 0 1 *q2grad
q3grad: *q3grad 1 0 *q3grad
q4grad: 1 *q4grad *q4grad 0