# 4 different group configurations
[[ 0,  1,  2], [ 3,  4,  5], [ 6,  7,  8]]
[[ 0,  6,  4], [ 3,  7,  1], [ 2,  5,  8]]
[[ 2,  7,  4], [ 0,  3,  8], [ 5,  1,  6]]
[[ 4,  8,  1], [ 3,  6,  2], [ 0,  5,  7]]
