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