x1 = R
x2 = LR
x3 = G
x4 = Gt
x5 = Gd
x6 = RG
x7 = Gbg
x8 = LRG
x9 = LRGt
x10 = RGd
x11 = RGt
x12 = LRGd
x13 = LRrgs
x14 = LRrgsG
x15 = LRrgsGd
x16 = LRrgsGt
x17 = Rrgs
x18 = RrgsG
x19 = RrgsGd
x20 = RrgsGt
x21 = rgs