M = 26, K = 10, Q = 128ΒΆ

M=26_K=10_Q=128_minh=8_ineq=9.txt is available here.

# minimum Hamming distance = 8
# activation inequality = 9
# active indices
a = [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 14, 15, 16, 17], [0, 1, 2, 3, 4, 8, 13, 15, 18, 24], [0, 1, 2, 3, 6, 7, 10, 11, 16, 17], [0, 1, 2, 3, 7, 8, 14, 16, 18, 20], [0, 1, 2, 3, 7, 9, 10, 13, 18, 21], [0, 1, 2, 8, 11, 14, 19, 20, 21, 23], [0, 1, 4, 5, 6, 7, 18, 19, 22, 23], [0, 1, 4, 7, 11, 14, 16, 17, 18, 22], [0, 1, 4, 8, 11, 16, 19, 22, 23, 25], [0, 1, 4, 9, 10, 11, 12, 15, 19, 25], [0, 1, 4, 9, 10, 12, 13, 17, 21, 23], [0, 1, 4, 9, 11, 14, 15, 16, 21, 23], [0, 1, 4, 9, 11, 17, 21, 22, 24, 25], [0, 1, 4, 9, 12, 15, 16, 17, 18, 24], [0, 1, 5, 6, 7, 9, 12, 14, 19, 25], [0, 1, 5, 7, 12, 17, 18, 22, 24, 25], [0, 1, 5, 7, 13, 14, 15, 17, 19, 22], [0, 1, 5, 7, 13, 16, 18, 20, 21, 22], [0, 1, 5, 7, 13, 16, 19, 23, 24, 25], [0, 1, 5, 8, 10, 11, 12, 15, 18, 24], [0, 1, 5, 8, 10, 11, 13, 14, 19, 25], [0, 1, 5, 8, 10, 12, 13, 17, 20, 22], [0, 1, 5, 8, 10, 16, 21, 22, 24, 25], [0, 1, 5, 8, 11, 17, 18, 19, 21, 22], [0, 1, 5, 8, 12, 15, 16, 17, 19, 25], [0, 1, 5, 9, 10, 14, 15, 16, 19, 24], [0, 1, 5, 9, 11, 12, 13, 17, 19, 24], [0, 1, 5, 9, 11, 14, 15, 17, 18, 25], [0, 1, 5, 9, 13, 14, 18, 19, 21, 23], [0, 1, 6, 8, 11, 13, 18, 19, 23, 24], [0, 1, 6, 8, 12, 13, 14, 17, 19, 21], [0, 1, 6, 8, 12, 13, 15, 16, 18, 20], [0, 1, 6, 8, 15, 17, 18, 21, 24, 25], [0, 1, 6, 9, 10, 11, 15, 17, 23, 24], [0, 1, 6, 9, 10, 12, 14, 15, 18, 21], [0, 1, 6, 9, 12, 13, 14, 16, 23, 24], [0, 1, 8, 9, 10, 13, 15, 17, 18, 19], [0, 1, 8, 9, 11, 12, 14, 16, 18, 19], [0, 1, 8, 9, 16, 17, 18, 20, 22, 25], [0, 1, 10, 11, 14, 15, 18, 19, 22, 23], [0, 1, 10, 11, 16, 17, 20, 21, 22, 23], [0, 1, 10, 12, 14, 16, 18, 20, 22, 24], [0, 1, 10, 13, 14, 17, 18, 21, 22, 25], [0, 1, 10, 13, 14, 17, 19, 20, 23, 24], [0, 1, 11, 12, 14, 17, 19, 20, 22, 25], [0, 1, 11, 13, 15, 17, 18, 20, 22, 24], [0, 1, 12, 13, 14, 15, 20, 21, 22, 23], [0, 1, 18, 19, 20, 21, 22, 23, 24, 25], [2, 3, 4, 5, 6, 7, 10, 11, 18, 21], [2, 3, 4, 5, 6, 9, 10, 20, 24, 25], [2, 3, 4, 5, 7, 8, 11, 19, 22, 23], [2, 3, 4, 5, 8, 10, 15, 17, 20, 21], [2, 3, 4, 5, 13, 15, 18, 20, 23, 25], [2, 3, 4, 6, 7, 8, 10, 12, 16, 25], [2, 3, 4, 6, 8, 12, 17, 19, 21, 23], [2, 3, 4, 9, 14, 15, 19, 21, 23, 24], [2, 3, 5, 7, 10, 11, 13, 16, 22, 24], [2, 3, 5, 8, 10, 11, 12, 14, 18, 20], [2, 3, 5, 8, 14, 16, 17, 20, 22, 24], [2, 3, 6, 7, 8, 9, 14, 15, 20, 23], [2, 3, 6, 7, 11, 12, 15, 17, 22, 23], [2, 3, 6, 8, 9, 11, 12, 13, 20, 25], [2, 3, 6, 8, 15, 16, 18, 21, 23, 24], [2, 3, 6, 10, 14, 16, 17, 21, 22, 25], [2, 3, 6, 12, 19, 20, 22, 23, 24, 25], [2, 3, 7, 9, 10, 16, 17, 18, 20, 25], [2, 3, 8, 10, 11, 12, 21, 23, 24, 25], [2, 3, 9, 10, 12, 13, 17, 19, 20, 23], [2, 3, 9, 10, 13, 14, 18, 22, 23, 25], [2, 3, 11, 13, 16, 17, 19, 21, 24, 25], [2, 3, 11, 14, 15, 17, 18, 20, 22, 25], [2, 4, 5, 6, 9, 13, 17, 20, 21, 23], [2, 4, 5, 7, 11, 13, 14, 15, 16, 21], [2, 4, 5, 8, 13, 15, 16, 19, 22, 24], [2, 4, 5, 10, 12, 15, 19, 21, 23, 25], [2, 4, 5, 10, 13, 14, 18, 20, 21, 22], [2, 4, 6, 7, 8, 9, 12, 17, 18, 20], [2, 4, 6, 7, 10, 18, 19, 20, 22, 25], [2, 4, 6, 8, 12, 14, 16, 22, 23, 24], [2, 4, 7, 9, 13, 14, 16, 22, 24, 25], [2, 5, 6, 7, 9, 14, 17, 19, 22, 23], [2, 5, 7, 12, 16, 18, 19, 20, 22, 24], [2, 6, 7, 8, 9, 11, 19, 21, 23, 24], [2, 6, 7, 8, 10, 12, 18, 21, 22, 23], [2, 6, 7, 9, 11, 14, 20, 21, 22, 25], [2, 6, 7, 12, 14, 15, 16, 21, 23, 25], [2, 6, 9, 10, 12, 15, 16, 17, 22, 24], [2, 6, 9, 13, 15, 18, 19, 20, 24, 25], [2, 6, 10, 11, 12, 17, 19, 20, 21, 22], [2, 7, 9, 10, 11, 12, 20, 22, 23, 24], [2, 7, 10, 11, 15, 16, 17, 23, 24, 25], [3, 4, 5, 6, 14, 15, 16, 18, 19, 23], [3, 4, 5, 7, 9, 13, 20, 22, 23, 24], [3, 4, 5, 7, 10, 11, 12, 15, 20, 23], [3, 4, 5, 7, 12, 15, 16, 18, 21, 22], [3, 4, 5, 7, 14, 16, 19, 20, 24, 25], [3, 4, 5, 8, 10, 11, 16, 19, 21, 25], [3, 4, 5, 8, 10, 13, 18, 19, 20, 24], [3, 4, 5, 11, 14, 15, 17, 21, 24, 25], [3, 4, 6, 8, 9, 10, 14, 16, 17, 20], [3, 4, 6, 8, 10, 15, 19, 20, 23, 25], [3, 4, 7, 8, 9, 12, 15, 20, 21, 25], [3, 4, 8, 9, 10, 11, 13, 15, 17, 24], [3, 4, 9, 10, 12, 16, 18, 21, 23, 25], [3, 4, 9, 11, 12, 16, 17, 19, 20, 24], [3, 5, 6, 8, 11, 13, 14, 16, 24, 25], [3, 5, 6, 9, 11, 12, 13, 14, 19, 23], [3, 5, 7, 11, 12, 13, 14, 15, 17, 18], [3, 6, 7, 8, 10, 12, 13, 15, 20, 24], [3, 7, 8, 10, 12, 14, 16, 18, 19, 23], [3, 7, 8, 11, 12, 13, 16, 18, 20, 21], [4, 5, 6, 7, 13, 14, 19, 21, 23, 25], [4, 6, 7, 8, 11, 15, 16, 21, 24, 25], [4, 6, 7, 9, 12, 13, 14, 17, 19, 24], [4, 7, 8, 10, 12, 13, 14, 15, 21, 23], [4, 7, 9, 10, 11, 16, 17, 19, 22, 25], [4, 7, 11, 14, 15, 16, 19, 22, 23, 24], [4, 9, 10, 11, 13, 19, 20, 21, 23, 25], [5, 6, 7, 11, 14, 15, 18, 19, 21, 22], [5, 6, 8, 9, 12, 17, 20, 21, 22, 25], [5, 6, 10, 12, 13, 15, 18, 20, 22, 25], [5, 7, 9, 10, 18, 21, 22, 23, 24, 25], [6, 7, 8, 9, 13, 15, 16, 18, 21, 22], [6, 7, 9, 13, 16, 17, 21, 23, 24, 25], [6, 8, 9, 12, 13, 14, 18, 20, 21, 23], [6, 8, 13, 15, 16, 17, 20, 22, 24, 25], [8, 11, 13, 14, 15, 17, 20, 21, 23, 24]]
# activation tensor
A = [[[1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 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0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]]
# vector representation
[[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
 [1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0],
 [1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0],
 [1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0],
 [1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0],
 [1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0],
 [1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0],
 [1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0],
 [1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0],
 [1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1],
 [1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1],
 [1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0],
 [1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0],
 [1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1],
 [1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0],
 [1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1],
 [1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1],
 [1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0],
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