M = 12, K = 8, Q = 128ΒΆ
M=12_K=8_Q=128_minh=2_ineq=5.txt is available here.
# minimum Hamming distance = 2
# activation inequality = 5
# active indices
a = [[0, 1, 2, 3, 4, 5, 6, 7], [0, 1, 2, 3, 4, 5, 6, 9], [0, 1, 2, 3, 4, 5, 6, 10], [0, 1, 2, 3, 4, 5, 6, 11], [0, 1, 2, 3, 4, 5, 7, 9], [0, 1, 2, 3, 4, 5, 7, 10], [0, 1, 2, 3, 4, 5, 7, 11], [0, 1, 2, 3, 4, 5, 8, 10], [0, 1, 2, 3, 4, 5, 8, 11], [0, 1, 2, 3, 4, 5, 9, 11], [0, 1, 2, 3, 4, 6, 7, 8], [0, 1, 2, 3, 4, 6, 7, 9], [0, 1, 2, 3, 4, 6, 8, 9], [0, 1, 2, 3, 4, 6, 8, 11], [0, 1, 2, 3, 4, 6, 9, 10], [0, 1, 2, 3, 4, 6, 9, 11], [0, 1, 2, 3, 4, 6, 10, 11], [0, 1, 2, 3, 4, 7, 8, 9], [0, 1, 2, 3, 4, 7, 8, 10], [0, 1, 2, 3, 4, 7, 8, 11], [0, 1, 2, 3, 4, 7, 9, 11], [0, 1, 2, 3, 4, 7, 10, 11], [0, 1, 2, 3, 4, 8, 9, 10], [0, 1, 2, 3, 4, 8, 9, 11], [0, 1, 2, 3, 4, 8, 10, 11], [0, 1, 2, 3, 4, 9, 10, 11], [0, 1, 2, 3, 5, 6, 7, 8], [0, 1, 2, 3, 5, 6, 7, 10], [0, 1, 2, 3, 5, 6, 7, 11], [0, 1, 2, 3, 5, 6, 8, 9], [0, 1, 2, 3, 5, 6, 8, 10], [0, 1, 2, 3, 5, 6, 8, 11], [0, 1, 2, 3, 5, 6, 9, 10], [0, 1, 2, 3, 5, 6, 9, 11], [0, 1, 2, 3, 5, 6, 10, 11], [0, 1, 2, 3, 5, 7, 8, 9], [0, 1, 2, 3, 5, 8, 9, 10], [0, 1, 2, 3, 6, 8, 9, 10], [0, 1, 2, 3, 6, 8, 9, 11], [0, 1, 2, 3, 6, 9, 10, 11], [0, 1, 2, 5, 6, 8, 9, 10], [0, 1, 2, 5, 7, 8, 9, 10], [0, 1, 3, 4, 5, 7, 8, 10], [0, 1, 4, 5, 7, 8, 9, 10], [0, 1, 4, 5, 7, 8, 9, 11], [0, 1, 4, 6, 7, 8, 9, 10], [0, 1, 4, 6, 7, 8, 9, 11], [0, 1, 4, 6, 7, 8, 10, 11], [0, 1, 4, 6, 7, 9, 10, 11], [0, 1, 4, 6, 8, 9, 10, 11], [0, 1, 4, 7, 8, 9, 10, 11], [0, 1, 5, 6, 7, 8, 9, 10], [0, 1, 5, 6, 7, 8, 9, 11], [0, 1, 5, 6, 7, 8, 10, 11], [0, 1, 5, 6, 7, 9, 10, 11], [0, 1, 5, 7, 8, 9, 10, 11], [0, 1, 6, 7, 8, 9, 10, 11], [0, 2, 3, 4, 5, 8, 9, 11], [0, 2, 3, 5, 7, 8, 10, 11], [0, 2, 3, 6, 7, 8, 9, 11], [0, 2, 4, 5, 6, 7, 10, 11], [0, 2, 4, 5, 6, 8, 9, 10], [0, 2, 4, 5, 6, 8, 9, 11], [0, 2, 4, 5, 8, 9, 10, 11], [0, 2, 4, 6, 7, 8, 9, 10], [0, 2, 4, 6, 7, 8, 10, 11], [0, 2, 4, 6, 7, 9, 10, 11], [0, 2, 4, 6, 8, 9, 10, 11], [0, 2, 4, 7, 8, 9, 10, 11], [0, 2, 5, 6, 7, 8, 9, 10], [0, 2, 5, 6, 7, 9, 10, 11], [0, 2, 5, 7, 8, 9, 10, 11], [0, 3, 4, 5, 6, 7, 8, 10], [0, 3, 4, 5, 6, 7, 9, 11], [0, 3, 4, 5, 7, 8, 9, 10], [0, 3, 4, 5, 7, 8, 9, 11], [0, 3, 4, 5, 7, 9, 10, 11], [0, 3, 4, 6, 7, 8, 9, 10], [0, 3, 4, 6, 7, 9, 10, 11], [0, 3, 4, 7, 8, 9, 10, 11], [0, 3, 5, 6, 7, 8, 10, 11], [0, 3, 5, 6, 7, 9, 10, 11], [0, 3, 6, 7, 8, 9, 10, 11], [0, 4, 5, 6, 7, 8, 9, 10], [0, 4, 5, 6, 7, 8, 10, 11], [0, 4, 6, 7, 8, 9, 10, 11], [1, 2, 3, 5, 6, 8, 10, 11], [1, 2, 3, 5, 7, 8, 9, 10], [1, 2, 3, 5, 7, 8, 9, 11], [1, 2, 3, 5, 7, 8, 10, 11], [1, 2, 3, 5, 7, 9, 10, 11], [1, 2, 3, 5, 8, 9, 10, 11], [1, 2, 4, 5, 6, 8, 10, 11], [1, 2, 4, 5, 6, 9, 10, 11], [1, 2, 4, 5, 7, 8, 10, 11], [1, 2, 4, 6, 8, 9, 10, 11], [1, 2, 5, 6, 7, 8, 9, 10], [1, 2, 5, 6, 7, 8, 9, 11], [1, 2, 5, 6, 7, 8, 10, 11], [1, 2, 5, 6, 7, 9, 10, 11], [1, 2, 5, 6, 8, 9, 10, 11], [1, 3, 4, 5, 6, 7, 8, 9], [1, 3, 4, 5, 6, 7, 8, 11], [1, 3, 4, 5, 6, 7, 9, 10], [1, 3, 4, 5, 6, 7, 9, 11], [1, 3, 4, 5, 6, 7, 10, 11], [1, 3, 4, 5, 6, 8, 9, 10], [1, 3, 4, 5, 6, 8, 10, 11], [1, 3, 4, 5, 7, 8, 9, 11], [1, 3, 5, 6, 7, 8, 10, 11], [1, 3, 5, 6, 8, 9, 10, 11], [1, 4, 5, 6, 7, 9, 10, 11], [1, 4, 5, 6, 8, 9, 10, 11], [1, 4, 6, 7, 8, 9, 10, 11], [2, 3, 4, 5, 6, 7, 8, 9], [2, 3, 4, 5, 6, 7, 8, 11], [2, 3, 4, 5, 6, 7, 9, 10], [2, 3, 4, 5, 6, 7, 9, 11], [2, 3, 4, 5, 6, 7, 10, 11], [2, 3, 4, 5, 6, 8, 9, 10], [2, 3, 4, 5, 7, 8, 9, 10], [2, 3, 4, 5, 7, 8, 9, 11], [2, 3, 4, 5, 7, 8, 10, 11], [2, 3, 4, 5, 7, 9, 10, 11], [2, 3, 4, 6, 7, 8, 9, 11], [2, 3, 4, 6, 7, 8, 10, 11], [2, 3, 4, 6, 7, 9, 10, 11], [3, 4, 6, 7, 8, 9, 10, 11]]
# activation tensor
A = [[[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 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]], [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 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, 1], [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, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 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, 1], [0, 0, 0, 0, 0, 0, 0, 0]], [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 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]], [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 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, 1, 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]], [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 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, 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, 1], [0, 0, 0, 0, 0, 0, 0, 0]], [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 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, 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, 1]], [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 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, 1, 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]], [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 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, 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, 1]], [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 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, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1]], [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 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, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 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]], [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 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, 1, 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, 1], [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, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 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, 1, 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, 1], [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, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 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, 1, 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, 1]], [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 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, 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, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0]], [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 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, 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, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1]], [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 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, 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, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1]], [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 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, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 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]], [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 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, 1, 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, 1], [0, 0, 0, 0, 0, 0, 0, 0]], [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 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, 1, 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, 1]], [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 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, 1, 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, 1]], [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 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, 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, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1]], [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 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, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0]], [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 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, 1, 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, 1]], [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 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, 1, 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, 1]], [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 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, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1]], [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 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, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 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]], [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 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, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 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, 1], [0, 0, 0, 0, 0, 0, 0, 0]], [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 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, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 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0], [1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 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, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 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, 1]], [[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, 1, 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, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 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, 1, 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], [1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 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, 1, 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, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 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], [1, 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, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1]]]
# vector representation
[[1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0],
[1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0],
[1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0],
[1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1],
[1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0],
[1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0],
[1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1],
[1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0],
[1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1],
[1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1],
[1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0],
[1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0],
[1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0],
[1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1],
[1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0],
[1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1],
[1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1],
[1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0],
[1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0],
[1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1],
[1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1],
[1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1],
[1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0],
[1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1],
[1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1],
[1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1],
[1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0],
[1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0],
[1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1],
[1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0],
[1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0],
[1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1],
[1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0],
[1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1],
[1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1],
[1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0],
[1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0],
[1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0],
[1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1],
[1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1],
[1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0],
[1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0],
[1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0],
[1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0],
[1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1],
[1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0],
[1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1],
[1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1],
[1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1],
[1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1],
[1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1],
[1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0],
[1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1],
[1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1],
[1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1],
[1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1],
[1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1],
[1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1],
[1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1],
[1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1],
[1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1],
[1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0],
[1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1],
[1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1],
[1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0],
[1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1],
[1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1],
[1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1],
[1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1],
[1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0],
[1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1],
[1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1],
[1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0],
[1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1],
[1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0],
[1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1],
[1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1],
[1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0],
[1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1],
[1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1],
[1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1],
[1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1],
[1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1],
[1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0],
[1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1],
[1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1],
[0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1],
[0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0],
[0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1],
[0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1],
[0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1],
[0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1],
[0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1],
[0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1],
[0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1],
[0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1],
[0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0],
[0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1],
[0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1],
[0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1],
[0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1],
[0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0],
[0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1],
[0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0],
[0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1],
[0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1],
[0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0],
[0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1],
[0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1],
[0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1],
[0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1],
[0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1],
[0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1],
[0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1],
[0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0],
[0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1],
[0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0],
[0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1],
[0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1],
[0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0],
[0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0],
[0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1],
[0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1],
[0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1],
[0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1],
[0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1],
[0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1],
[0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1]]
