# 17 different group configurations
[[ 0,  1], [ 2,  3], [ 4,  5], [ 6,  7], [ 8,  9], [10, 11], [12, 13], [14, 15], [16, 17]]
[[ 8,  1], [ 5,  9], [15, 10], [14, 12], [17,  3], [11, 16], [ 2, 13], [ 4,  7], [ 0,  6]]
[[ 6,  2], [17, 12], [14,  4], [ 5, 16], [13, 10], [ 3,  8], [ 9,  7], [ 1, 15], [ 0, 11]]
[[ 8, 14], [16, 12], [ 0,  4], [ 7, 10], [11,  9], [ 2, 17], [ 5, 15], [ 1, 13], [ 6,  3]]
[[ 4,  6], [ 8, 17], [15, 11], [14,  1], [10,  0], [ 9, 16], [ 5, 12], [ 3, 13], [ 7,  2]]
[[ 9,  2], [ 5,  8], [16, 15], [ 0, 12], [ 3,  4], [ 1, 10], [ 6, 13], [11, 17], [14,  7]]
[[ 1,  7], [ 5, 14], [11, 13], [15, 17], [ 9,  0], [ 8,  2], [ 3, 10], [16,  6], [ 4, 12]]
[[ 5, 17], [12, 15], [13,  8], [14, 16], [ 7,  0], [10,  6], [11,  2], [ 3,  9], [ 4,  1]]
[[13,  4], [ 2,  0], [ 9,  1], [17, 10], [14, 11], [15,  3], [ 7,  5], [ 8, 16], [ 6, 12]]
[[ 6, 14], [15,  0], [ 8, 11], [ 1, 16], [ 2, 10], [12,  9], [13,  7], [17,  4], [ 3,  5]]
[[ 1,  5], [10,  9], [ 7, 11], [ 6, 15], [17, 14], [12,  2], [13, 16], [ 4,  8], [ 3,  0]]
[[12,  1], [ 8,  6], [ 5,  2], [ 9, 15], [ 4, 10], [14, 13], [16,  0], [11,  3], [17,  7]]
[[17,  0], [ 4,  9], [ 2, 16], [10,  5], [ 8,  7], [11, 12], [15, 13], [ 1,  6], [ 3, 14]]
[[ 4,  2], [ 0,  5], [11,  6], [ 9, 14], [ 3,  1], [ 8, 15], [16,  7], [13, 17], [12, 10]]
[[13,  9], [ 5, 11], [ 8, 10], [ 3, 12], [ 0, 14], [ 6, 17], [ 2,  1], [16,  4], [15,  7]]
[[12,  8], [ 6,  5], [ 7,  3], [ 0, 13], [ 4, 15], [17,  9], [16, 10], [11,  1], [ 2, 14]]
[[ 0,  8], [ 7, 12], [13,  5], [17,  1], [15,  2], [ 9,  6], [10, 14], [11,  4], [16,  3]]
