# 17 different group configurations
[[ 0,  1,  2], [ 3,  4,  5], [ 6,  7,  8], [ 9, 10, 11], [12, 13, 14], [15, 16, 17], [18, 19, 20], [21, 22, 23], [24, 25, 26], [27, 28, 29], [30, 31, 32], [33, 34, 35], [36, 37, 38]]
[[ 6,  5, 29], [16, 31,  8], [24,  3, 27], [25, 33, 37], [32, 21,  7], [30,  0, 18], [11, 28, 23], [36, 15, 13], [ 4, 34,  2], [26, 38,  1], [22, 35, 10], [12, 20,  9], [14, 17, 19]]
[[21, 14,  0], [19, 16,  2], [ 8,  4, 35], [27, 11, 22], [32,  9, 34], [13, 31, 28], [37,  5, 10], [38, 29,  3], [26,  6, 30], [24, 12, 33], [36, 18,  1], [ 7, 20, 17], [25, 23, 15]]
[[32, 38, 22], [17, 25,  4], [36, 14,  9], [16, 30,  3], [18, 37, 24], [13, 21, 26], [28, 34,  8], [33,  2, 10], [ 7, 23, 12], [ 1,  5, 31], [20, 35, 11], [ 6,  0, 27], [19, 29, 15]]
[[15, 38,  7], [30, 19, 28], [14, 10, 16], [24, 13, 11], [29, 31, 18], [20, 22, 33], [25,  6, 34], [ 2,  3, 26], [23, 36,  0], [37, 21, 35], [ 1, 27,  8], [17,  9,  5], [ 4, 32, 12]]
[[ 9,  8,  2], [ 1, 11, 16], [23, 32, 27], [34, 31,  3], [33, 36, 19], [26, 18, 17], [29,  4,  0], [ 6, 24, 38], [ 7, 22, 28], [15, 21, 30], [10, 25, 13], [14, 37, 20], [ 5, 12, 35]]
[[14, 22, 29], [36, 21, 10], [ 3,  7,  9], [ 8, 38, 17], [12, 30,  1], [35,  0, 13], [ 5, 11, 34], [ 2, 28, 32], [31,  4, 33], [37, 26, 16], [23, 18,  6], [15, 24, 20], [19, 27, 25]]
[[38, 23,  4], [27, 21, 17], [11, 19,  7], [30, 24,  9], [20, 34, 26], [16, 25, 12], [32,  8, 36], [33,  1, 14], [35,  3, 28], [37, 13, 29], [15, 10, 18], [31,  2,  6], [ 0, 22,  5]]
[[37,  2, 15], [35, 26, 27], [ 0, 11, 32], [33,  5, 30], [ 6, 17, 13], [28, 14, 18], [ 7, 34,  1], [19, 12, 21], [16,  4, 36], [20, 10, 23], [31,  9, 38], [22, 25,  3], [24, 29,  8]]
[[21,  9, 33], [23,  3, 19], [ 2, 25, 35], [14, 30,  7], [28,  1, 37], [38, 34, 16], [12, 26,  0], [32, 17, 29], [11, 15,  6], [ 4, 13, 18], [20,  5,  8], [10, 31, 27], [36, 22, 24]]
[[ 7, 29, 35], [ 1,  3, 10], [24, 21,  5], [15,  9, 27], [36, 30, 34], [13,  8, 22], [33, 32, 16], [25, 11, 38], [31, 17, 23], [18, 12,  2], [14, 26,  4], [20,  6, 28], [ 0, 37, 19]]
[[26,  7, 33], [22, 30,  2], [ 1, 19,  6], [34, 18, 21], [29, 16,  9], [31,  0, 25], [12,  8, 37], [24, 35, 23], [10, 38, 28], [15,  5, 14], [17, 36, 11], [32,  3, 13], [20, 27,  4]]
[[20, 21, 38], [29, 25,  1], [26, 28, 36], [15, 12, 34], [19, 24,  4], [ 6,  9, 22], [ 2,  7, 13], [27, 37, 30], [10,  0,  8], [ 5, 23, 16], [18, 35, 32], [33, 17,  3], [11, 14, 31]]
[[21,  1,  4], [ 0, 17, 24], [34, 23, 37], [18,  7, 27], [16,  6, 35], [33, 15,  8], [30, 11, 29], [12, 31, 22], [ 2, 14, 38], [13, 19,  9], [36, 20,  3], [25,  5, 28], [10, 26, 32]]
[[17,  1, 22], [ 2, 21, 11], [ 3,  0, 15], [34, 14, 27], [32, 37,  6], [36, 31, 35], [ 9,  4, 28], [ 7, 24, 16], [13, 23, 33], [ 5, 38, 18], [12, 10, 29], [30, 20, 25], [19,  8, 26]]
[[ 9, 18, 25], [ 5, 27, 13], [12, 36,  6], [14, 23,  8], [10,  7,  4], [37,  3, 11], [ 1, 24, 32], [35, 30, 17], [31, 15, 26], [22, 19, 34], [38,  0, 33], [21, 28, 16], [ 2, 29, 20]]
[[ 1, 35,  9], [22,  4, 15], [38, 13, 30], [31,  7, 37], [ 8, 21, 25], [36, 27,  2], [26, 29, 23], [10, 34, 24], [ 3,  6, 14], [11, 33, 18], [17, 28, 12], [16, 20,  0], [19,  5, 32]]
