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