[2, 2]
[[[1, 0], [1, 1]]]

[4, 2]
[[[1, 0], [2, 0], [1, 1], [2, 1]], [[0, 1], [2, 1]]]

[2, 2, 2]
[[[1, 0, 0], [1, 1, 0], [1, 0, 1]], [[1, 0, 0], [1, 1, 0], [1, 1, 1]], [[1, 0, 0], [1, 0, 1], [1, 1, 1]], [[1, 1, 0], [1, 0, 1], [1, 1, 1]]]

[3, 3]
[[[1, 0], [1, 1], [1, 2]]]

[4, 3]
[[[1, 0], [2, 0], [0, 1], [3, 1], [2, 2]]]

[2, 2, 3]
[[[1, 0, 0], [1, 1, 0], [0, 0, 1], [1, 0, 2], [1, 1, 2]]]

[8, 2]
[[[1, 0], [2, 0], [4, 0], [1, 1], [2, 1], [4, 1]], [[0, 1], [4, 1]]]

[4, 4]
[[[1, 0], [2, 0], [1, 1], [1, 2], [2, 2], [1, 3]]]

[4, 2, 2]
[[[1, 0, 0], [2, 0, 0], [1, 1, 0], [2, 1, 0], [2, 0, 1]], [[1, 0, 0], [2, 0, 0], [2, 1, 0], [1, 0, 1], [2, 0, 1]], [[1, 0, 0], [2, 0, 0], [1, 1, 0], [2, 1, 0], [1, 0, 1], [1, 1, 1]], [[2, 0, 0], [1, 1, 0], [2, 1, 0], [2, 0, 1], [1, 1, 1]], [[1, 0, 0], [2, 0, 0], [1, 1, 0], [1, 0, 1], [2, 0, 1], [1, 1, 1]], [[2, 0, 0], [2, 1, 0], [1, 0, 1], [2, 0, 1], [1, 1, 1]], [[1, 0, 0], [2, 0, 0], [1, 1, 0], [2, 1, 0], [2, 1, 1]], [[2, 0, 0], [1, 1, 0], [2, 1, 0], [1, 0, 1], [2, 1, 1]], [[2, 1, 0], [2, 0, 1], [2, 1, 1]], [[1, 0, 0], [2, 0, 0], [1, 0, 1], [2, 0, 1], [2, 1, 1]], [[2, 0, 0], [1, 1, 0], [1, 0, 1], [2, 0, 1], [2, 1, 1]], [[1, 0, 0], [2, 0, 0], [2, 1, 0], [1, 1, 1], [2, 1, 1]], [[1, 0, 0], [2, 0, 0], [1, 1, 0], [1, 0, 1], [1, 1, 1], [2, 1, 1]], [[2, 0, 0], [2, 1, 0], [1, 0, 1], [1, 1, 1], [2, 1, 1]], [[1, 0, 0], [2, 0, 0], [2, 0, 1], [1, 1, 1], [2, 1, 1]], [[2, 0, 0], [1, 1, 0], [2, 0, 1], [1, 1, 1], [2, 1, 1]], [[0, 1, 0], [2, 1, 0], [0, 1, 1]], [[0, 1, 0], [2, 1, 0], [2, 1, 1]], [[0, 1, 0], [0, 1, 1], [2, 1, 1]], [[2, 1, 0], [0, 1, 1], [2, 1, 1]]]

[2, 2, 2, 2]
[[[1, 0, 0, 0], [1, 1, 0, 0], [1, 0, 1, 0], [1, 0, 0, 1]], [[1, 0, 0, 0], [1, 1, 0, 0], [1, 1, 1, 0], [1, 0, 0, 1]], [[1, 0, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [1, 0, 0, 1]], [[1, 1, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [1, 0, 0, 1]], [[1, 0, 0, 0], [1, 1, 0, 0], [1, 0, 1, 0], [1, 1, 0, 1]], [[1, 0, 0, 0], [1, 1, 0, 0], [1, 1, 1, 0], [1, 1, 0, 1]], [[1, 0, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [1, 1, 0, 1]], [[1, 1, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [1, 1, 0, 1]], [[1, 0, 0, 0], [1, 0, 1, 0], [1, 0, 0, 1], [1, 1, 0, 1]], [[1, 1, 0, 0], [1, 0, 1, 0], [1, 0, 0, 1], [1, 1, 0, 1]], [[1, 0, 0, 0], [1, 1, 1, 0], [1, 0, 0, 1], [1, 1, 0, 1]], [[1, 1, 0, 0], [1, 1, 1, 0], [1, 0, 0, 1], [1, 1, 0, 1]], [[1, 0, 0, 0], [1, 1, 0, 0], [1, 0, 1, 0], [1, 0, 1, 1]], [[1, 0, 0, 0], [1, 1, 0, 0], [1, 1, 1, 0], [1, 0, 1, 1]], [[1, 0, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [1, 0, 1, 1]], [[1, 1, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [1, 0, 1, 1]], [[1, 0, 0, 0], [1, 1, 0, 0], [1, 0, 0, 1], [1, 0, 1, 1]], [[1, 1, 0, 0], [1, 0, 1, 0], [1, 0, 0, 1], [1, 0, 1, 1]], [[1, 0, 0, 0], [1, 1, 1, 0], [1, 0, 0, 1], [1, 0, 1, 1]], [[1, 0, 1, 0], [1, 1, 1, 0], [1, 0, 0, 1], [1, 0, 1, 1]], [[1, 0, 0, 0], [1, 1, 0, 0], [1, 1, 0, 1], [1, 0, 1, 1]], [[1, 0, 0, 0], [1, 0, 1, 0], [1, 1, 0, 1], [1, 0, 1, 1]], [[1, 1, 0, 0], [1, 1, 1, 0], [1, 1, 0, 1], [1, 0, 1, 1]], [[1, 0, 1, 0], [1, 1, 1, 0], [1, 1, 0, 1], [1, 0, 1, 1]], [[1, 0, 0, 0], [1, 0, 0, 1], [1, 1, 0, 1], [1, 0, 1, 1]], [[1, 1, 0, 0], [1, 0, 0, 1], [1, 1, 0, 1], [1, 0, 1, 1]], [[1, 0, 1, 0], [1, 0, 0, 1], [1, 1, 0, 1], [1, 0, 1, 1]], [[1, 1, 1, 0], [1, 0, 0, 1], [1, 1, 0, 1], [1, 0, 1, 1]], [[1, 0, 0, 0], [1, 1, 0, 0], [1, 0, 1, 0], [1, 1, 1, 1]], [[1, 0, 0, 0], [1, 1, 0, 0], [1, 1, 1, 0], [1, 1, 1, 1]], [[1, 0, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [1, 1, 1, 1]], [[1, 1, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [1, 1, 1, 1]], [[1, 0, 0, 0], [1, 1, 0, 0], [1, 0, 0, 1], [1, 1, 1, 1]], [[1, 0, 0, 0], [1, 0, 1, 0], [1, 0, 0, 1], [1, 1, 1, 1]], [[1, 1, 0, 0], [1, 1, 1, 0], [1, 0, 0, 1], [1, 1, 1, 1]], [[1, 0, 1, 0], [1, 1, 1, 0], [1, 0, 0, 1], [1, 1, 1, 1]], [[1, 0, 0, 0], [1, 1, 0, 0], [1, 1, 0, 1], [1, 1, 1, 1]], [[1, 1, 0, 0], [1, 0, 1, 0], [1, 1, 0, 1], [1, 1, 1, 1]], [[1, 0, 0, 0], [1, 1, 1, 0], [1, 1, 0, 1], [1, 1, 1, 1]], [[1, 0, 1, 0], [1, 1, 1, 0], [1, 1, 0, 1], [1, 1, 1, 1]], [[1, 0, 0, 0], [1, 0, 0, 1], [1, 1, 0, 1], [1, 1, 1, 1]], [[1, 1, 0, 0], [1, 0, 0, 1], [1, 1, 0, 1], [1, 1, 1, 1]], [[1, 0, 1, 0], [1, 0, 0, 1], [1, 1, 0, 1], [1, 1, 1, 1]], [[1, 1, 1, 0], [1, 0, 0, 1], [1, 1, 0, 1], [1, 1, 1, 1]], [[1, 0, 0, 0], [1, 0, 1, 0], [1, 0, 1, 1], [1, 1, 1, 1]], [[1, 1, 0, 0], [1, 0, 1, 0], [1, 0, 1, 1], [1, 1, 1, 1]], [[1, 0, 0, 0], [1, 1, 1, 0], [1, 0, 1, 1], [1, 1, 1, 1]], [[1, 1, 0, 0], [1, 1, 1, 0], [1, 0, 1, 1], [1, 1, 1, 1]], [[1, 0, 0, 0], [1, 0, 0, 1], [1, 0, 1, 1], [1, 1, 1, 1]], [[1, 1, 0, 0], [1, 0, 0, 1], [1, 0, 1, 1], [1, 1, 1, 1]], [[1, 0, 1, 0], [1, 0, 0, 1], [1, 0, 1, 1], [1, 1, 1, 1]], [[1, 1, 1, 0], [1, 0, 0, 1], [1, 0, 1, 1], [1, 1, 1, 1]], [[1, 0, 0, 0], [1, 1, 0, 1], [1, 0, 1, 1], [1, 1, 1, 1]], [[1, 1, 0, 0], [1, 1, 0, 1], [1, 0, 1, 1], [1, 1, 1, 1]], [[1, 0, 1, 0], [1, 1, 0, 1], [1, 0, 1, 1], [1, 1, 1, 1]], [[1, 1, 1, 0], [1, 1, 0, 1], [1, 0, 1, 1], [1, 1, 1, 1]]]

[2, 9]
[[[1, 0], [0, 1], [0, 3], [1, 5], [1, 6]]]

[2, 3, 3]
[[[1, 0, 0], [0, 1, 0], [0, 1, 1], [0, 1, 2]], [[1, 0, 0], [0, 1, 0], [1, 2, 0], [1, 2, 1], [0, 1, 2]], [[1, 0, 0], [0, 1, 0], [1, 2, 0], [0, 1, 1], [1, 2, 2]], [[1, 0, 0], [0, 1, 0], [1, 2, 0], [1, 2, 1], [1, 2, 2]], [[1, 0, 0], [1, 2, 0], [0, 1, 1], [1, 2, 1], [1, 2, 2]], [[1, 0, 0], [1, 2, 0], [1, 2, 1], [0, 1, 2], [1, 2, 2]], [[1, 0, 0], [0, 1, 1], [1, 2, 1], [0, 1, 2], [1, 2, 2]], [[0, 1, 0], [1, 2, 0], [0, 1, 1], [1, 2, 1], [0, 1, 2], [1, 2, 2]]]

[4, 5]
[[[1, 0], [2, 0], [0, 1], [2, 3], [1, 4]]]

[2, 2, 5]
[[[1, 0, 0], [1, 1, 0], [0, 0, 1], [1, 0, 3], [1, 1, 3]]]

[8, 3]
[[[1, 0], [2, 0], [4, 0], [0, 1], [6, 1], [3, 2], [4, 2]]]

[4, 2, 3]
[[[1, 0, 0], [2, 0, 0], [1, 1, 0], [2, 1, 0], [0, 0, 1], [2, 0, 2], [2, 1, 2]], [[1, 0, 0], [2, 0, 0], [2, 1, 0], [0, 0, 1], [3, 0, 1], [2, 0, 2], [2, 1, 2]], [[2, 0, 0], [1, 1, 0], [2, 1, 0], [0, 0, 1], [3, 1, 1], [2, 0, 2], [2, 1, 2]], [[1, 0, 0], [2, 0, 0], [1, 1, 0], [2, 1, 0], [3, 0, 1], [3, 1, 1], [2, 0, 2], [2, 1, 2]], [[1, 0, 0], [2, 0, 0], [1, 1, 0], [0, 0, 1], [3, 0, 1], [3, 1, 1], [2, 0, 2], [2, 1, 2]], [[2, 0, 0], [2, 1, 0], [0, 0, 1], [3, 0, 1], [3, 1, 1], [2, 0, 2], [2, 1, 2]], [[0, 1, 0], [2, 1, 0], [0, 0, 1], [0, 1, 2], [2, 1, 2]]]

[2, 2, 2, 3]
[[[1, 0, 0, 0], [1, 1, 0, 0], [1, 0, 1, 0], [0, 0, 0, 1], [1, 0, 0, 2], [1, 1, 0, 2]], [[1, 0, 0, 0], [1, 1, 0, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 0, 0, 2], [1, 1, 0, 2]], [[1, 0, 0, 0], [1, 1, 0, 0], [1, 0, 1, 0], [0, 0, 0, 1], [1, 0, 0, 2], [1, 0, 1, 2]], [[1, 0, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 0, 0, 2], [1, 0, 1, 2]], [[1, 0, 0, 0], [1, 1, 0, 0], [1, 0, 1, 0], [0, 0, 0, 1], [1, 1, 0, 2], [1, 0, 1, 2]], [[1, 1, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 1, 0, 2], [1, 0, 1, 2]], [[1, 0, 0, 0], [1, 1, 0, 0], [0, 0, 0, 1], [1, 0, 0, 2], [1, 1, 0, 2], [1, 0, 1, 2]], [[1, 0, 0, 0], [1, 0, 1, 0], [0, 0, 0, 1], [1, 0, 0, 2], [1, 1, 0, 2], [1, 0, 1, 2]], [[1, 1, 0, 0], [1, 0, 1, 0], [0, 0, 0, 1], [1, 0, 0, 2], [1, 1, 0, 2], [1, 0, 1, 2]], [[1, 0, 0, 0], [1, 1, 0, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 0, 0, 2], [1, 1, 1, 2]], [[1, 0, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 0, 0, 2], [1, 1, 1, 2]], [[1, 0, 0, 0], [1, 1, 0, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 1, 0, 2], [1, 1, 1, 2]], [[1, 1, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 1, 0, 2], [1, 1, 1, 2]], [[1, 0, 0, 0], [1, 1, 0, 0], [0, 0, 0, 1], [1, 0, 0, 2], [1, 1, 0, 2], [1, 1, 1, 2]], [[1, 0, 0, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 0, 0, 2], [1, 1, 0, 2], [1, 1, 1, 2]], [[1, 1, 0, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 0, 0, 2], [1, 1, 0, 2], [1, 1, 1, 2]], [[1, 0, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 0, 1, 2], [1, 1, 1, 2]], [[1, 1, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 0, 1, 2], [1, 1, 1, 2]], [[1, 0, 0, 0], [1, 0, 1, 0], [0, 0, 0, 1], [1, 0, 0, 2], [1, 0, 1, 2], [1, 1, 1, 2]], [[1, 0, 0, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 0, 0, 2], [1, 0, 1, 2], [1, 1, 1, 2]], [[1, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 0, 0, 2], [1, 0, 1, 2], [1, 1, 1, 2]], [[1, 1, 0, 0], [1, 0, 1, 0], [0, 0, 0, 1], [1, 1, 0, 2], [1, 0, 1, 2], [1, 1, 1, 2]], [[1, 1, 0, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 1, 0, 2], [1, 0, 1, 2], [1, 1, 1, 2]], [[1, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 1, 0, 2], [1, 0, 1, 2], [1, 1, 1, 2]], [[1, 0, 0, 0], [0, 0, 0, 1], [1, 0, 0, 2], [1, 1, 0, 2], [1, 0, 1, 2], [1, 1, 1, 2]], [[1, 1, 0, 0], [0, 0, 0, 1], [1, 0, 0, 2], [1, 1, 0, 2], [1, 0, 1, 2], [1, 1, 1, 2]], [[1, 0, 1, 0], [0, 0, 0, 1], [1, 0, 0, 2], [1, 1, 0, 2], [1, 0, 1, 2], [1, 1, 1, 2]], [[1, 1, 1, 0], [0, 0, 0, 1], [1, 0, 0, 2], [1, 1, 0, 2], [1, 0, 1, 2], [1, 1, 1, 2]]]

[5, 5]
[[[1, 0], [1, 1], [1, 2], [1, 3], [1, 4]]]

[9, 3]
[[[1, 0], [3, 0], [1, 1], [3, 1], [1, 2], [3, 2]], [[0, 1], [3, 1], [6, 1]]]

[3, 3, 3]
[[[1, 0, 0], [1, 1, 0], [1, 2, 0], [1, 0, 1]], [[1, 0, 0], [1, 1, 0], [1, 2, 0], [1, 1, 1]], [[1, 0, 0], [1, 1, 0], [1, 2, 0], [1, 2, 1]], [[1, 0, 0], [1, 0, 1], [1, 1, 1], [1, 2, 1]], [[1, 1, 0], [1, 0, 1], [1, 1, 1], [1, 2, 1]], [[1, 2, 0], [1, 0, 1], [1, 1, 1], [1, 2, 1]], [[1, 0, 0], [1, 1, 0], [1, 2, 0], [1, 0, 2]], [[1, 0, 0], [1, 1, 0], [1, 0, 1], [1, 0, 2]], [[1, 0, 0], [1, 2, 0], [1, 0, 1], [1, 0, 2]], [[1, 0, 0], [1, 2, 0], [1, 1, 1], [1, 0, 2]], [[1, 1, 0], [1, 2, 0], [1, 1, 1], [1, 0, 2]], [[1, 0, 0], [1, 0, 1], [1, 1, 1], [1, 0, 2]], [[1, 2, 0], [1, 0, 1], [1, 1, 1], [1, 0, 2]], [[1, 0, 0], [1, 1, 0], [1, 2, 1], [1, 0, 2]], [[1, 1, 0], [1, 2, 0], [1, 2, 1], [1, 0, 2]], [[1, 0, 0], [1, 0, 1], [1, 2, 1], [1, 0, 2]], [[1, 1, 0], [1, 0, 1], [1, 2, 1], [1, 0, 2]], [[1, 1, 0], [1, 1, 1], [1, 2, 1], [1, 0, 2]], [[1, 2, 0], [1, 1, 1], [1, 2, 1], [1, 0, 2]], [[1, 0, 1], [1, 1, 1], [1, 2, 1], [1, 0, 2]], [[1, 0, 0], [1, 1, 0], [1, 2, 0], [1, 1, 2]], [[1, 0, 0], [1, 2, 0], [1, 0, 1], [1, 1, 2]], [[1, 1, 0], [1, 2, 0], [1, 0, 1], [1, 1, 2]], [[1, 0, 0], [1, 1, 0], [1, 1, 1], [1, 1, 2]], [[1, 1, 0], [1, 2, 0], [1, 1, 1], [1, 1, 2]], [[1, 1, 0], [1, 0, 1], [1, 1, 1], [1, 1, 2]], [[1, 2, 0], [1, 0, 1], [1, 1, 1], [1, 1, 2]], [[1, 0, 0], [1, 1, 0], [1, 2, 1], [1, 1, 2]], [[1, 0, 0], [1, 2, 0], [1, 2, 1], [1, 1, 2]], [[1, 0, 0], [1, 0, 1], [1, 2, 1], [1, 1, 2]], [[1, 2, 0], [1, 0, 1], [1, 2, 1], [1, 1, 2]], [[1, 0, 0], [1, 1, 1], [1, 2, 1], [1, 1, 2]], [[1, 1, 0], [1, 1, 1], [1, 2, 1], [1, 1, 2]], [[1, 0, 1], [1, 1, 1], [1, 2, 1], [1, 1, 2]], [[1, 0, 0], [1, 0, 1], [1, 0, 2], [1, 1, 2]], [[1, 2, 0], [1, 0, 1], [1, 0, 2], [1, 1, 2]], [[1, 1, 0], [1, 1, 1], [1, 0, 2], [1, 1, 2]], [[1, 2, 0], [1, 1, 1], [1, 0, 2], [1, 1, 2]], [[1, 0, 0], [1, 2, 1], [1, 0, 2], [1, 1, 2]], [[1, 1, 0], [1, 2, 1], [1, 0, 2], [1, 1, 2]], [[1, 0, 0], [1, 1, 0], [1, 2, 0], [1, 2, 2]], [[1, 0, 0], [1, 1, 0], [1, 0, 1], [1, 2, 2]], [[1, 1, 0], [1, 2, 0], [1, 0, 1], [1, 2, 2]], [[1, 0, 0], [1, 1, 0], [1, 1, 1], [1, 2, 2]], [[1, 0, 0], [1, 2, 0], [1, 1, 1], [1, 2, 2]], [[1, 0, 0], [1, 0, 1], [1, 1, 1], [1, 2, 2]], [[1, 1, 0], [1, 0, 1], [1, 1, 1], [1, 2, 2]], [[1, 0, 0], [1, 2, 0], [1, 2, 1], [1, 2, 2]], [[1, 1, 0], [1, 2, 0], [1, 2, 1], [1, 2, 2]], [[1, 1, 0], [1, 0, 1], [1, 2, 1], [1, 2, 2]], [[1, 2, 0], [1, 0, 1], [1, 2, 1], [1, 2, 2]], [[1, 0, 0], [1, 1, 1], [1, 2, 1], [1, 2, 2]], [[1, 2, 0], [1, 1, 1], [1, 2, 1], [1, 2, 2]], [[1, 0, 1], [1, 1, 1], [1, 2, 1], [1, 2, 2]], [[1, 0, 0], [1, 0, 1], [1, 0, 2], [1, 2, 2]], [[1, 1, 0], [1, 0, 1], [1, 0, 2], [1, 2, 2]], [[1, 0, 0], [1, 1, 1], [1, 0, 2], [1, 2, 2]], [[1, 2, 0], [1, 1, 1], [1, 0, 2], [1, 2, 2]], [[1, 1, 0], [1, 2, 1], [1, 0, 2], [1, 2, 2]], [[1, 2, 0], [1, 2, 1], [1, 0, 2], [1, 2, 2]], [[1, 1, 0], [1, 0, 1], [1, 1, 2], [1, 2, 2]], [[1, 2, 0], [1, 0, 1], [1, 1, 2], [1, 2, 2]], [[1, 0, 0], [1, 1, 1], [1, 1, 2], [1, 2, 2]], [[1, 1, 0], [1, 1, 1], [1, 1, 2], [1, 2, 2]], [[1, 0, 0], [1, 2, 1], [1, 1, 2], [1, 2, 2]], [[1, 2, 0], [1, 2, 1], [1, 1, 2], [1, 2, 2]], [[1, 0, 0], [1, 0, 2], [1, 1, 2], [1, 2, 2]], [[1, 1, 0], [1, 0, 2], [1, 1, 2], [1, 2, 2]], [[1, 2, 0], [1, 0, 2], [1, 1, 2], [1, 2, 2]], [[1, 0, 1], [1, 0, 2], [1, 1, 2], [1, 2, 2]], [[1, 1, 1], [1, 0, 2], [1, 1, 2], [1, 2, 2]], [[1, 2, 1], [1, 0, 2], [1, 1, 2], [1, 2, 2]]]

[4, 7]
[[[1, 0], [2, 0], [0, 1], [3, 2], [2, 4]]]

[2, 2, 7]
[[[1, 0, 0], [1, 1, 0], [0, 0, 1], [1, 0, 4], [1, 1, 4]]]

[2, 3, 5]
[[[1, 0, 0], [0, 1, 0], [1, 2, 0], [0, 0, 1], [0, 2, 2], [1, 0, 3]], [[1, 0, 0], [0, 1, 0], [1, 2, 0], [1, 1, 1], [0, 2, 2], [1, 0, 3]], [[1, 0, 0], [1, 2, 0], [0, 0, 1], [1, 1, 1], [0, 2, 2], [1, 0, 3]], [[0, 1, 0], [1, 2, 0], [0, 0, 1], [1, 1, 1], [0, 2, 2], [1, 0, 3]]]

[16, 2]
[[[1, 0], [2, 0], [4, 0], [8, 0], [1, 1], [2, 1], [4, 1], [8, 1]], [[0, 1], [8, 1]]]

[8, 4]
[[[1, 0], [2, 0], [4, 0], [1, 1], [2, 1], [1, 2], [2, 2], [4, 2], [1, 3], [2, 3]], [[0, 1], [2, 1], [4, 1], [6, 1], [0, 2], [4, 2]]]

[8, 2, 2]
[[[1, 0, 0], [2, 0, 0], [4, 0, 0], [1, 1, 0], [2, 1, 0], [4, 1, 0], [4, 0, 1]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [4, 1, 0], [1, 0, 1], [2, 0, 1], [4, 0, 1]], [[2, 0, 0], [4, 0, 0], [2, 1, 0], [4, 1, 0], [1, 0, 1], [4, 0, 1], [1, 1, 1]], [[2, 0, 0], [4, 0, 0], [1, 1, 0], [4, 1, 0], [2, 0, 1], [4, 0, 1], [1, 1, 1]], [[4, 0, 0], [2, 1, 0], [4, 1, 0], [4, 0, 1], [2, 1, 1]], [[4, 0, 0], [4, 1, 0], [2, 0, 1], [4, 0, 1], [2, 1, 1]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [1, 1, 0], [2, 1, 0], [4, 1, 0], [1, 0, 1], [2, 0, 1], [1, 1, 1], [2, 1, 1]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [1, 1, 0], [2, 1, 0], [1, 0, 1], [2, 0, 1], [4, 0, 1], [1, 1, 1], [2, 1, 1]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [1, 1, 0], [2, 1, 0], [4, 1, 0], [4, 1, 1]], [[4, 0, 0], [2, 1, 0], [4, 1, 0], [2, 0, 1], [4, 1, 1]], [[4, 1, 0], [4, 0, 1], [4, 1, 1]], [[4, 0, 0], [2, 1, 0], [2, 0, 1], [4, 0, 1], [4, 1, 1]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [1, 0, 1], [2, 0, 1], [4, 0, 1], [4, 1, 1]], [[2, 0, 0], [4, 0, 0], [2, 1, 0], [4, 1, 0], [1, 0, 1], [1, 1, 1], [4, 1, 1]], [[2, 0, 0], [4, 0, 0], [1, 1, 0], [2, 0, 1], [4, 0, 1], [1, 1, 1], [4, 1, 1]], [[2, 0, 0], [4, 0, 0], [1, 1, 0], [4, 1, 0], [1, 0, 1], [2, 1, 1], [4, 1, 1]], [[4, 0, 0], [4, 1, 0], [2, 0, 1], [2, 1, 1], [4, 1, 1]], [[4, 0, 0], [2, 1, 0], [4, 0, 1], [2, 1, 1], [4, 1, 1]], [[2, 0, 0], [4, 0, 0], [1, 1, 0], [1, 0, 1], [4, 0, 1], [2, 1, 1], [4, 1, 1]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [4, 1, 0], [1, 1, 1], [2, 1, 1], [4, 1, 1]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [1, 1, 0], [2, 1, 0], [1, 0, 1], [2, 0, 1], [1, 1, 1], [2, 1, 1], [4, 1, 1]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [4, 0, 1], [1, 1, 1], [2, 1, 1], [4, 1, 1]], [[0, 1, 0], [4, 1, 0], [0, 1, 1]], [[0, 1, 0], [4, 1, 0], [4, 1, 1]], [[0, 1, 0], [0, 1, 1], [4, 1, 1]], [[4, 1, 0], [0, 1, 1], [4, 1, 1]]]

[4, 4, 2]
[[[1, 0, 0], [2, 0, 0], [1, 1, 0], [1, 2, 0], [2, 2, 0], [1, 3, 0], [2, 0, 1]], [[1, 0, 0], [2, 0, 0], [1, 1, 0], [2, 2, 0], [1, 3, 0], [1, 0, 1], [2, 0, 1]], [[1, 0, 0], [2, 0, 0], [1, 2, 0], [2, 2, 0], [1, 3, 0], [2, 0, 1], [1, 1, 1]], [[1, 0, 0], [2, 0, 0], [2, 2, 0], [1, 3, 0], [1, 0, 1], [2, 0, 1], [1, 1, 1]], [[1, 0, 0], [2, 0, 0], [1, 1, 0], [1, 2, 0], [2, 2, 0], [1, 3, 0], [1, 0, 1], [1, 2, 1]], [[2, 0, 0], [1, 1, 0], [1, 2, 0], [2, 2, 0], [1, 3, 0], [2, 0, 1], [1, 2, 1]], [[1, 0, 0], [2, 0, 0], [1, 2, 0], [1, 0, 1], [2, 0, 1], [1, 2, 1]], [[2, 0, 0], [1, 1, 0], [2, 2, 0], [1, 3, 0], [1, 0, 1], [2, 0, 1], [1, 2, 1]], [[2, 0, 0], [1, 2, 0], [2, 2, 0], [1, 3, 0], [2, 0, 1], [1, 1, 1], [1, 2, 1]], [[2, 0, 0], [2, 2, 0], [1, 3, 0], [1, 0, 1], [2, 0, 1], [1, 1, 1], [1, 2, 1]], [[1, 0, 0], [2, 0, 0], [1, 1, 0], [1, 2, 0], [2, 2, 0], [1, 3, 0], [2, 2, 1]], [[2, 0, 0], [1, 1, 0], [1, 2, 0], [2, 2, 0], [1, 3, 0], [1, 0, 1], [2, 2, 1]], [[1, 0, 0], [2, 0, 0], [1, 0, 1], [2, 0, 1], [2, 2, 1]], [[2, 0, 0], [1, 2, 0], [1, 0, 1], [2, 0, 1], [2, 2, 1]], [[1, 0, 0], [2, 0, 0], [1, 1, 0], [1, 2, 0], [2, 2, 0], [1, 1, 1], [2, 2, 1]], [[2, 0, 0], [1, 1, 0], [1, 2, 0], [2, 2, 0], [1, 0, 1], [1, 1, 1], [2, 2, 1]], [[1, 1, 0], [2, 2, 0], [2, 0, 1], [1, 1, 1], [2, 2, 1]], [[2, 2, 0], [1, 3, 0], [2, 0, 1], [1, 1, 1], [2, 2, 1]], [[1, 0, 0], [2, 0, 0], [1, 1, 0], [2, 2, 0], [1, 3, 0], [1, 2, 1], [2, 2, 1]], [[1, 0, 0], [2, 0, 0], [1, 2, 0], [1, 0, 1], [1, 2, 1], [2, 2, 1]], [[2, 0, 0], [1, 1, 0], [2, 2, 0], [1, 3, 0], [1, 0, 1], [1, 2, 1], [2, 2, 1]], [[1, 0, 0], [2, 0, 0], [2, 0, 1], [1, 2, 1], [2, 2, 1]], [[2, 0, 0], [1, 2, 0], [2, 0, 1], [1, 2, 1], [2, 2, 1]], [[1, 0, 0], [2, 0, 0], [1, 1, 0], [2, 2, 0], [1, 1, 1], [1, 2, 1], [2, 2, 1]], [[2, 0, 0], [1, 1, 0], [2, 2, 0], [1, 0, 1], [1, 1, 1], [1, 2, 1], [2, 2, 1]], [[1, 0, 0], [2, 0, 0], [1, 1, 0], [1, 2, 0], [2, 2, 0], [2, 0, 1], [1, 3, 1]], [[1, 0, 0], [2, 0, 0], [1, 1, 0], [2, 2, 0], [1, 0, 1], [2, 0, 1], [1, 3, 1]], [[1, 0, 0], [2, 0, 0], [1, 1, 0], [1, 2, 0], [2, 2, 0], [1, 3, 0], [1, 1, 1], [1, 3, 1]], [[1, 0, 0], [2, 0, 0], [1, 2, 0], [2, 2, 0], [2, 0, 1], [1, 1, 1], [1, 3, 1]], [[1, 1, 0], [2, 2, 0], [1, 3, 0], [2, 0, 1], [1, 1, 1], [1, 3, 1]], [[1, 0, 0], [2, 0, 0], [2, 2, 0], [1, 0, 1], [2, 0, 1], [1, 1, 1], [1, 3, 1]], [[2, 0, 0], [1, 1, 0], [1, 2, 0], [2, 2, 0], [2, 0, 1], [1, 2, 1], [1, 3, 1]], [[2, 0, 0], [1, 1, 0], [2, 2, 0], [1, 0, 1], [2, 0, 1], [1, 2, 1], [1, 3, 1]], [[1, 0, 0], [2, 0, 0], [1, 2, 0], [2, 2, 0], [1, 0, 1], [1, 1, 1], [1, 2, 1], [1, 3, 1]], [[2, 0, 0], [1, 1, 0], [2, 2, 0], [1, 3, 0], [1, 0, 1], [1, 1, 1], [1, 2, 1], [1, 3, 1]], [[2, 0, 0], [1, 2, 0], [2, 2, 0], [2, 0, 1], [1, 1, 1], [1, 2, 1], [1, 3, 1]], [[2, 0, 0], [2, 2, 0], [1, 0, 1], [2, 0, 1], [1, 1, 1], [1, 2, 1], [1, 3, 1]], [[1, 0, 0], [2, 0, 0], [1, 2, 0], [2, 2, 0], [1, 3, 0], [2, 2, 1], [1, 3, 1]], [[2, 0, 0], [1, 2, 0], [2, 2, 0], [1, 3, 0], [1, 0, 1], [2, 2, 1], [1, 3, 1]], [[1, 1, 0], [2, 2, 0], [2, 0, 1], [2, 2, 1], [1, 3, 1]], [[2, 2, 0], [1, 3, 0], [2, 0, 1], [2, 2, 1], [1, 3, 1]], [[1, 0, 0], [2, 0, 0], [1, 2, 0], [2, 2, 0], [1, 1, 1], [2, 2, 1], [1, 3, 1]], [[1, 1, 0], [2, 2, 0], [1, 3, 0], [1, 1, 1], [2, 2, 1], [1, 3, 1]], [[2, 0, 0], [1, 2, 0], [2, 2, 0], [1, 0, 1], [1, 1, 1], [2, 2, 1], [1, 3, 1]], [[1, 0, 0], [2, 0, 0], [2, 2, 0], [1, 3, 0], [1, 2, 1], [2, 2, 1], [1, 3, 1]], [[2, 0, 0], [2, 2, 0], [1, 3, 0], [1, 0, 1], [1, 2, 1], [2, 2, 1], [1, 3, 1]], [[1, 0, 0], [2, 0, 0], [2, 2, 0], [1, 1, 1], [1, 2, 1], [2, 2, 1], [1, 3, 1]], [[2, 0, 0], [2, 2, 0], [1, 0, 1], [1, 1, 1], [1, 2, 1], [2, 2, 1], [1, 3, 1]], [[0, 0, 1], [2, 0, 1], [0, 2, 1]], [[0, 0, 1], [2, 0, 1], [2, 2, 1]], [[0, 0, 1], [0, 2, 1], [2, 2, 1]], [[2, 0, 1], [0, 2, 1], [2, 2, 1]]]

[4, 2, 2, 2]
[[[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [2, 0, 1, 0], [2, 0, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [2, 0, 1, 0], [2, 0, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [2, 0, 0, 1]], [[2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [2, 0, 1, 0], [1, 1, 1, 0], [2, 0, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [1, 0, 1, 0], [2, 0, 1, 0], [1, 1, 1, 0], [2, 0, 0, 1]], [[2, 0, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [2, 0, 1, 0], [1, 1, 1, 0], [2, 0, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [2, 1, 1, 0], [2, 0, 0, 1]], [[2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [2, 1, 1, 0], [2, 0, 0, 1]], [[2, 1, 0, 0], [2, 0, 1, 0], [2, 1, 1, 0], [2, 0, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 0, 1, 0], [2, 0, 1, 0], [2, 1, 1, 0], [2, 0, 0, 1]], [[2, 0, 0, 0], [1, 1, 0, 0], [1, 0, 1, 0], [2, 0, 1, 0], [2, 1, 1, 0], [2, 0, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [2, 1, 0, 0], [1, 1, 1, 0], [2, 1, 1, 0], [2, 0, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [2, 1, 1, 0], [2, 0, 0, 1]], [[2, 0, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [2, 1, 1, 0], [2, 0, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [2, 0, 1, 0], [1, 1, 1, 0], [2, 1, 1, 0], [2, 0, 0, 1]], [[2, 0, 0, 0], [1, 1, 0, 0], [2, 0, 1, 0], [1, 1, 1, 0], [2, 1, 1, 0], [2, 0, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [2, 1, 0, 0], [2, 0, 1, 0], [1, 0, 0, 1], [2, 0, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [1, 0, 0, 1], [2, 0, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [2, 0, 1, 0], [1, 1, 1, 0], [1, 0, 0, 1], [2, 0, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [2, 1, 0, 0], [2, 1, 1, 0], [1, 0, 0, 1], [2, 0, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [1, 0, 1, 0], [2, 1, 1, 0], [1, 0, 0, 1], [2, 0, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [2, 0, 1, 0], [2, 1, 1, 0], [1, 0, 0, 1], [2, 0, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [2, 0, 1, 0], [1, 0, 0, 1], [1, 1, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [2, 0, 1, 0], [1, 0, 0, 1], [1, 1, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [1, 0, 0, 1], [1, 1, 0, 1]], [[2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [2, 0, 1, 0], [1, 1, 1, 0], [1, 0, 0, 1], [1, 1, 0, 1]], [[2, 0, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [2, 0, 1, 0], [1, 1, 1, 0], [1, 0, 0, 1], [1, 1, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [2, 1, 1, 0], [1, 0, 0, 1], [1, 1, 0, 1]], [[2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [2, 1, 1, 0], [1, 0, 0, 1], [1, 1, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [2, 1, 0, 0], [1, 1, 1, 0], [2, 1, 1, 0], [1, 0, 0, 1], [1, 1, 0, 1]], [[2, 0, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [2, 1, 1, 0], [1, 0, 0, 1], [1, 1, 0, 1]], [[2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [2, 0, 1, 0], [2, 0, 0, 1], [1, 1, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [1, 0, 1, 0], [2, 0, 1, 0], [2, 0, 0, 1], [1, 1, 0, 1]], [[2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [2, 0, 0, 1], [1, 1, 0, 1]], [[2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [2, 1, 1, 0], [2, 0, 0, 1], [1, 1, 0, 1]], [[2, 0, 0, 0], [1, 1, 0, 0], [2, 0, 1, 0], [2, 1, 1, 0], [2, 0, 0, 1], [1, 1, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [1, 1, 1, 0], [2, 1, 1, 0], [2, 0, 0, 1], [1, 1, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [2, 0, 1, 0], [1, 0, 0, 1], [2, 0, 0, 1], [1, 1, 0, 1]], [[2, 0, 0, 0], [2, 1, 0, 0], [2, 0, 1, 0], [1, 0, 0, 1], [2, 0, 0, 1], [1, 1, 0, 1]], [[2, 0, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [1, 0, 0, 1], [2, 0, 0, 1], [1, 1, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 1, 0], [1, 0, 0, 1], [2, 0, 0, 1], [1, 1, 0, 1]], [[2, 0, 0, 0], [2, 1, 0, 0], [2, 1, 1, 0], [1, 0, 0, 1], [2, 0, 0, 1], [1, 1, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [2, 0, 1, 0], [2, 1, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [2, 0, 1, 0], [2, 1, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [2, 1, 0, 1]], [[2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [2, 0, 1, 0], [1, 1, 1, 0], [2, 1, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [1, 0, 1, 0], [2, 0, 1, 0], [1, 1, 1, 0], [2, 1, 0, 1]], [[2, 0, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [2, 0, 1, 0], [1, 1, 1, 0], [2, 1, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [2, 1, 1, 0], [2, 1, 0, 1]], [[2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [2, 1, 1, 0], [2, 1, 0, 1]], [[2, 1, 0, 0], [2, 0, 1, 0], [2, 1, 1, 0], [2, 1, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 0, 1, 0], [2, 0, 1, 0], [2, 1, 1, 0], [2, 1, 0, 1]], [[2, 0, 0, 0], [1, 1, 0, 0], [1, 0, 1, 0], [2, 0, 1, 0], [2, 1, 1, 0], [2, 1, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [2, 1, 0, 0], [1, 1, 1, 0], [2, 1, 1, 0], [2, 1, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [2, 1, 1, 0], [2, 1, 0, 1]], [[2, 0, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [2, 1, 1, 0], [2, 1, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [2, 0, 1, 0], [1, 1, 1, 0], [2, 1, 1, 0], [2, 1, 0, 1]], [[2, 0, 0, 0], [1, 1, 0, 0], [2, 0, 1, 0], [1, 1, 1, 0], [2, 1, 1, 0], [2, 1, 0, 1]], [[2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [2, 0, 1, 0], [1, 0, 0, 1], [2, 1, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [1, 0, 1, 0], [2, 0, 1, 0], [1, 0, 0, 1], [2, 1, 0, 1]], [[2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [1, 0, 0, 1], [2, 1, 0, 1]], [[2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [2, 1, 1, 0], [1, 0, 0, 1], [2, 1, 0, 1]], [[2, 0, 0, 0], [1, 1, 0, 0], [2, 0, 1, 0], [2, 1, 1, 0], [1, 0, 0, 1], [2, 1, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [1, 1, 1, 0], [2, 1, 1, 0], [1, 0, 0, 1], [2, 1, 0, 1]], [[2, 1, 0, 0], [2, 0, 1, 0], [2, 0, 0, 1], [2, 1, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 0, 1, 0], [2, 0, 1, 0], [2, 0, 0, 1], [2, 1, 0, 1]], [[2, 0, 0, 0], [1, 1, 0, 0], [2, 0, 1, 0], [1, 1, 1, 0], [2, 0, 0, 1], [2, 1, 0, 1]], [[2, 1, 0, 0], [2, 1, 1, 0], [2, 0, 0, 1], [2, 1, 0, 1]], [[2, 0, 0, 0], [1, 1, 0, 0], [1, 0, 1, 0], [2, 1, 1, 0], [2, 0, 0, 1], [2, 1, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 1, 0], [2, 1, 1, 0], [2, 0, 0, 1], [2, 1, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [2, 0, 1, 0], [1, 0, 0, 1], [2, 0, 0, 1], [2, 1, 0, 1]], [[2, 0, 0, 0], [1, 1, 0, 0], [2, 0, 1, 0], [1, 0, 0, 1], [2, 0, 0, 1], [2, 1, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [2, 1, 1, 0], [1, 0, 0, 1], [2, 0, 0, 1], [2, 1, 0, 1]], [[2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 1, 0], [1, 0, 0, 1], [2, 0, 0, 1], [2, 1, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [2, 1, 0, 0], [2, 0, 1, 0], [1, 1, 0, 1], [2, 1, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [1, 1, 0, 1], [2, 1, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [2, 0, 1, 0], [1, 1, 1, 0], [1, 1, 0, 1], [2, 1, 0, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [2, 1, 0, 0], [2, 1, 1, 0], [1, 1, 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[1, 1, 1, 1], [2, 1, 1, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 1, 0], [1, 1, 0, 1], [2, 0, 1, 1], [1, 1, 1, 1], [2, 1, 1, 1]], [[2, 0, 0, 0], [1, 1, 0, 0], [1, 1, 1, 0], [1, 1, 0, 1], [2, 0, 1, 1], [1, 1, 1, 1], [2, 1, 1, 1]], [[1, 0, 0, 0], [2, 0, 0, 0], [2, 1, 0, 1], [2, 0, 1, 1], [1, 1, 1, 1], [2, 1, 1, 1]], [[2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 1], [2, 0, 1, 1], [1, 1, 1, 1], [2, 1, 1, 1]], [[2, 0, 0, 0], [1, 0, 1, 0], [2, 1, 0, 1], [2, 0, 1, 1], [1, 1, 1, 1], [2, 1, 1, 1]], [[0, 1, 0, 0], [2, 1, 0, 0], [0, 1, 1, 0], [0, 1, 0, 1]], [[0, 1, 0, 0], [2, 1, 0, 0], [2, 1, 1, 0], [0, 1, 0, 1]], [[0, 1, 0, 0], [0, 1, 1, 0], [2, 1, 1, 0], [0, 1, 0, 1]], [[2, 1, 0, 0], [0, 1, 1, 0], [2, 1, 1, 0], [0, 1, 0, 1]], [[0, 1, 0, 0], [2, 1, 0, 0], [0, 1, 1, 0], [2, 1, 0, 1]], [[0, 1, 0, 0], [2, 1, 0, 0], [2, 1, 1, 0], [2, 1, 0, 1]], [[0, 1, 0, 0], [0, 1, 1, 0], [2, 1, 1, 0], [2, 1, 0, 1]], [[2, 1, 0, 0], [0, 1, 1, 0], [2, 1, 1, 0], [2, 1, 0, 1]], [[0, 1, 0, 0], [0, 1, 1, 0], [0, 1, 0, 1], [2, 1, 0, 1]], [[2, 1, 0, 0], [0, 1, 1, 0], [0, 1, 0, 1], [2, 1, 0, 1]], [[0, 1, 0, 0], [2, 1, 1, 0], [0, 1, 0, 1], [2, 1, 0, 1]], [[2, 1, 0, 0], [2, 1, 1, 0], [0, 1, 0, 1], [2, 1, 0, 1]], [[0, 1, 0, 0], [2, 1, 0, 0], [0, 1, 1, 0], [0, 1, 1, 1]], [[0, 1, 0, 0], [2, 1, 0, 0], [2, 1, 1, 0], [0, 1, 1, 1]], [[0, 1, 0, 0], [0, 1, 1, 0], [2, 1, 1, 0], [0, 1, 1, 1]], [[2, 1, 0, 0], [0, 1, 1, 0], [2, 1, 1, 0], [0, 1, 1, 1]], [[0, 1, 0, 0], [2, 1, 0, 0], [0, 1, 0, 1], [0, 1, 1, 1]], [[2, 1, 0, 0], [0, 1, 1, 0], [0, 1, 0, 1], [0, 1, 1, 1]], [[0, 1, 0, 0], [2, 1, 1, 0], [0, 1, 0, 1], [0, 1, 1, 1]], [[0, 1, 1, 0], [2, 1, 1, 0], [0, 1, 0, 1], [0, 1, 1, 1]], [[0, 1, 0, 0], [2, 1, 0, 0], [2, 1, 0, 1], [0, 1, 1, 1]], [[0, 1, 0, 0], [0, 1, 1, 0], [2, 1, 0, 1], [0, 1, 1, 1]], [[2, 1, 0, 0], [2, 1, 1, 0], [2, 1, 0, 1], [0, 1, 1, 1]], [[0, 1, 1, 0], [2, 1, 1, 0], [2, 1, 0, 1], [0, 1, 1, 1]], [[0, 1, 0, 0], [0, 1, 0, 1], [2, 1, 0, 1], [0, 1, 1, 1]], [[2, 1, 0, 0], [0, 1, 0, 1], [2, 1, 0, 1], [0, 1, 1, 1]], [[0, 1, 1, 0], [0, 1, 0, 1], [2, 1, 0, 1], [0, 1, 1, 1]], [[2, 1, 1, 0], [0, 1, 0, 1], [2, 1, 0, 1], [0, 1, 1, 1]], [[0, 1, 0, 0], [2, 1, 0, 0], [0, 1, 1, 0], [2, 1, 1, 1]], [[0, 1, 0, 0], [2, 1, 0, 0], [2, 1, 1, 0], [2, 1, 1, 1]], [[0, 1, 0, 0], [0, 1, 1, 0], [2, 1, 1, 0], [2, 1, 1, 1]], [[2, 1, 0, 0], [0, 1, 1, 0], [2, 1, 1, 0], [2, 1, 1, 1]], [[0, 1, 0, 0], [2, 1, 0, 0], [0, 1, 0, 1], [2, 1, 1, 1]], [[0, 1, 0, 0], [0, 1, 1, 0], [0, 1, 0, 1], [2, 1, 1, 1]], [[2, 1, 0, 0], [2, 1, 1, 0], [0, 1, 0, 1], [2, 1, 1, 1]], [[0, 1, 1, 0], [2, 1, 1, 0], [0, 1, 0, 1], [2, 1, 1, 1]], [[0, 1, 0, 0], [2, 1, 0, 0], [2, 1, 0, 1], [2, 1, 1, 1]], [[2, 1, 0, 0], [0, 1, 1, 0], [2, 1, 0, 1], [2, 1, 1, 1]], [[0, 1, 0, 0], [2, 1, 1, 0], [2, 1, 0, 1], [2, 1, 1, 1]], [[0, 1, 1, 0], [2, 1, 1, 0], [2, 1, 0, 1], [2, 1, 1, 1]], [[0, 1, 0, 0], [0, 1, 0, 1], [2, 1, 0, 1], [2, 1, 1, 1]], [[2, 1, 0, 0], [0, 1, 0, 1], [2, 1, 0, 1], [2, 1, 1, 1]], [[0, 1, 1, 0], [0, 1, 0, 1], [2, 1, 0, 1], [2, 1, 1, 1]], [[2, 1, 1, 0], [0, 1, 0, 1], [2, 1, 0, 1], [2, 1, 1, 1]], [[0, 1, 0, 0], [0, 1, 1, 0], [0, 1, 1, 1], [2, 1, 1, 1]], [[2, 1, 0, 0], [0, 1, 1, 0], [0, 1, 1, 1], [2, 1, 1, 1]], [[0, 1, 0, 0], [2, 1, 1, 0], [0, 1, 1, 1], [2, 1, 1, 1]], [[2, 1, 0, 0], [2, 1, 1, 0], [0, 1, 1, 1], [2, 1, 1, 1]], [[0, 1, 0, 0], [0, 1, 0, 1], [0, 1, 1, 1], [2, 1, 1, 1]], [[2, 1, 0, 0], [0, 1, 0, 1], [0, 1, 1, 1], [2, 1, 1, 1]], [[0, 1, 1, 0], [0, 1, 0, 1], [0, 1, 1, 1], [2, 1, 1, 1]], [[2, 1, 1, 0], [0, 1, 0, 1], [0, 1, 1, 1], [2, 1, 1, 1]], [[0, 1, 0, 0], [2, 1, 0, 1], [0, 1, 1, 1], [2, 1, 1, 1]], [[2, 1, 0, 0], [2, 1, 0, 1], [0, 1, 1, 1], [2, 1, 1, 1]], [[0, 1, 1, 0], [2, 1, 0, 1], [0, 1, 1, 1], [2, 1, 1, 1]], [[2, 1, 1, 0], [2, 1, 0, 1], [0, 1, 1, 1], [2, 1, 1, 1]]]

[2, 2, 2, 2, 2]
[[[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 0, 0, 1]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 0, 0, 1]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 0, 0, 1]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 0, 0, 1]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [1, 0, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 0, 1]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 0, 0, 1]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 0, 0, 1]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 0, 0, 1]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 0, 0, 1]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 0, 0, 1]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 0, 0, 1]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 0, 0, 1]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 0, 0, 1]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 0, 0, 1]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 0, 0, 1]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 0, 0, 1]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 1, 0], [1, 1, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [1, 1, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [1, 1, 0, 0, 1]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [1, 1, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [1, 1, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [1, 1, 0, 0, 1]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [1, 1, 0, 0, 1]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [1, 1, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [1, 1, 0, 0, 1]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [1, 1, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [1, 1, 0, 0, 1]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [1, 1, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [1, 1, 0, 0, 1]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [1, 1, 0, 0, 1]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [1, 1, 0, 0, 1]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [1, 1, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [1, 1, 0, 0, 1]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [1, 1, 0, 0, 1]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [1, 1, 0, 0, 1]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 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0, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 1, 1, 0, 0], [1, 0, 0, 0, 1], [1, 0, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 0, 0, 1, 0], [1, 0, 0, 0, 1], [1, 0, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 1, 0, 1, 0], [1, 0, 0, 0, 1], [1, 0, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 0, 1, 1, 0], [1, 0, 0, 0, 1], [1, 0, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 1, 1, 1, 0], [1, 0, 0, 0, 1], [1, 0, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 1], [1, 0, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 1, 0, 0, 0], [1, 1, 0, 0, 1], [1, 0, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 0, 1, 0, 0], [1, 1, 0, 0, 1], [1, 0, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 1, 1, 0, 0], [1, 1, 0, 0, 1], [1, 0, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 0, 0, 1, 0], [1, 1, 0, 0, 1], [1, 0, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 1, 0, 1, 0], [1, 1, 0, 0, 1], [1, 0, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 0, 1, 1, 0], [1, 1, 0, 0, 1], [1, 0, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 1, 1, 1, 0], [1, 1, 0, 0, 1], [1, 0, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 1], [1, 0, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 1], [1, 0, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 0, 1, 0, 0], [1, 0, 1, 0, 1], [1, 0, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 1, 1, 0, 0], [1, 0, 1, 0, 1], [1, 0, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 0, 0, 1, 0], [1, 0, 1, 0, 1], [1, 0, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 1, 0, 1, 0], [1, 0, 1, 0, 1], [1, 0, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 0, 1, 1, 0], [1, 0, 1, 0, 1], [1, 0, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 1, 1, 1, 0], [1, 0, 1, 0, 1], [1, 0, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 1], [1, 0, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 1], [1, 0, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 1], [1, 0, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 1, 1, 0, 0], [1, 1, 1, 0, 1], [1, 0, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 0, 0, 1, 0], [1, 1, 1, 0, 1], [1, 0, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 1, 0, 1, 0], [1, 1, 1, 0, 1], [1, 0, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 0, 1, 1, 0], [1, 1, 1, 0, 1], [1, 0, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 1, 1, 1, 0], [1, 1, 1, 0, 1], [1, 0, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 0, 0, 0, 0], [1, 1, 0, 1, 0], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 0, 0, 0, 0], [1, 0, 1, 1, 0], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 1, 0, 0, 0], [1, 0, 1, 1, 0], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 0, 0, 0, 0], [1, 1, 1, 1, 0], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 1, 0, 0, 0], [1, 1, 1, 1, 0], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 0, 1, 0, 0], [1, 1, 1, 1, 0], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 0, 0, 0, 0], [1, 0, 0, 0, 1], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 1, 0, 0, 0], [1, 0, 0, 0, 1], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 0, 1, 0, 0], [1, 0, 0, 0, 1], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 1, 1, 0, 0], [1, 0, 0, 0, 1], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 0, 0, 1, 0], [1, 0, 0, 0, 1], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 1, 0, 1, 0], [1, 0, 0, 0, 1], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 0, 1, 1, 0], [1, 0, 0, 0, 1], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 1, 1, 1, 0], [1, 0, 0, 0, 1], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 1], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 1, 0, 0, 0], [1, 1, 0, 0, 1], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 0, 1, 0, 0], [1, 1, 0, 0, 1], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 1, 1, 0, 0], [1, 1, 0, 0, 1], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 0, 0, 1, 0], [1, 1, 0, 0, 1], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 1, 0, 1, 0], [1, 1, 0, 0, 1], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 0, 1, 1, 0], [1, 1, 0, 0, 1], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 1, 1, 1, 0], [1, 1, 0, 0, 1], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 1], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 1], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 0, 1, 0, 0], [1, 0, 1, 0, 1], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 1, 1, 0, 0], [1, 0, 1, 0, 1], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 0, 0, 1, 0], [1, 0, 1, 0, 1], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 1, 0, 1, 0], [1, 0, 1, 0, 1], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 0, 1, 1, 0], [1, 0, 1, 0, 1], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 1, 1, 1, 0], [1, 0, 1, 0, 1], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 1], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 1], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 1], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 1, 1, 0, 0], [1, 1, 1, 0, 1], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 0, 0, 1, 0], [1, 1, 1, 0, 1], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 1, 0, 1, 0], [1, 1, 1, 0, 1], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 0, 1, 1, 0], [1, 1, 1, 0, 1], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]], [[1, 1, 1, 1, 0], [1, 1, 1, 0, 1], [1, 1, 0, 1, 1], [1, 0, 1, 1, 1], [1, 1, 1, 1, 1]]]

[4, 9]
[[[1, 0], [2, 0], [0, 1], [0, 3], [3, 3], [2, 5], [2, 6], [1, 7]]]

[2, 2, 9]
[[[1, 0, 0], [1, 1, 0], [0, 0, 1], [0, 0, 3], [1, 0, 5], [1, 1, 5], [1, 0, 6], [1, 1, 6]]]

[4, 3, 3]
[[[1, 0, 0], [2, 0, 0], [0, 1, 0], [0, 1, 1], [0, 1, 2]], [[1, 0, 0], [2, 0, 0], [0, 1, 0], [3, 1, 0], [2, 2, 0], [2, 2, 1], [0, 1, 2]], [[1, 0, 0], [0, 1, 0], [3, 1, 0], [0, 1, 1], [3, 1, 1], [0, 1, 2], [3, 1, 2]], [[1, 0, 0], [2, 0, 0], [0, 1, 0], [2, 2, 0], [2, 2, 1], [0, 1, 2], [3, 1, 2]], [[1, 0, 0], [0, 1, 0], [3, 1, 0], [2, 2, 0], [3, 1, 1], [2, 2, 1], [0, 1, 2], [3, 1, 2]], [[1, 0, 0], [2, 0, 0], [0, 1, 0], [3, 1, 0], [2, 2, 0], [0, 1, 1], [2, 2, 2]], [[1, 0, 0], [2, 0, 0], [0, 1, 0], [2, 2, 0], [0, 1, 1], [3, 1, 1], [2, 2, 2]], [[1, 0, 0], [2, 0, 0], [0, 1, 1], [3, 1, 1], [2, 2, 1], [0, 1, 2], [2, 2, 2]], [[1, 0, 0], [0, 1, 0], [3, 1, 0], [2, 2, 0], [0, 1, 1], [3, 1, 1], [3, 1, 2], [2, 2, 2]], [[1, 0, 0], [2, 0, 0], [0, 1, 0], [3, 1, 0], [2, 2, 0], [3, 1, 1], [2, 2, 1], [3, 1, 2], [2, 2, 2]], [[1, 0, 0], [2, 0, 0], [3, 1, 0], [2, 2, 0], [0, 1, 1], [3, 1, 1], [2, 2, 1], [3, 1, 2], [2, 2, 2]], [[1, 0, 0], [2, 0, 0], [0, 1, 1], [2, 2, 1], [0, 1, 2], [3, 1, 2], [2, 2, 2]], [[1, 0, 0], [2, 0, 0], [3, 1, 0], [2, 2, 0], [3, 1, 1], [2, 2, 1], [0, 1, 2], [3, 1, 2], [2, 2, 2]], [[1, 0, 0], [3, 1, 0], [0, 1, 1], [3, 1, 1], [2, 2, 1], [0, 1, 2], [3, 1, 2], [2, 2, 2]], [[0, 1, 0], [3, 1, 0], [2, 2, 0], [0, 1, 1], [3, 1, 1], [2, 2, 1], [0, 1, 2], [3, 1, 2], [2, 2, 2]]]

[2, 2, 3, 3]
[[[1, 0, 0, 0], [1, 1, 0, 0], [0, 0, 1, 0], [0, 0, 1, 1], [0, 0, 1, 2]], [[1, 0, 0, 0], [1, 1, 0, 0], [0, 0, 1, 0], [1, 0, 2, 0], [1, 1, 2, 0], [1, 0, 2, 1], [1, 1, 2, 1], [0, 0, 1, 2]], [[1, 0, 0, 0], [1, 1, 0, 0], [0, 0, 1, 0], [1, 0, 2, 0], [1, 1, 2, 0], [1, 0, 2, 1], [1, 0, 2, 2]], [[1, 1, 0, 0], [0, 0, 1, 0], [1, 0, 2, 0], [0, 0, 1, 1], [1, 0, 2, 1], [0, 0, 1, 2], [1, 0, 2, 2]], [[1, 0, 0, 0], [1, 1, 0, 0], [1, 0, 2, 0], [1, 0, 2, 1], [1, 1, 2, 1], [0, 0, 1, 2], [1, 0, 2, 2]], [[1, 0, 0, 0], [1, 1, 0, 0], [0, 0, 1, 0], [1, 0, 2, 0], [1, 1, 2, 0], [1, 1, 2, 1], [1, 1, 2, 2]], [[1, 0, 0, 0], [0, 0, 1, 0], [1, 1, 2, 0], [0, 0, 1, 1], [1, 1, 2, 1], [0, 0, 1, 2], [1, 1, 2, 2]], [[1, 0, 0, 0], [1, 1, 0, 0], [1, 1, 2, 0], [1, 0, 2, 1], [1, 1, 2, 1], [0, 0, 1, 2], [1, 1, 2, 2]], [[1, 0, 0, 0], [1, 1, 0, 0], [0, 0, 1, 0], [1, 0, 2, 0], [1, 1, 2, 0], [0, 0, 1, 1], [1, 0, 2, 2], [1, 1, 2, 2]], [[1, 0, 0, 0], [1, 1, 0, 0], [1, 0, 2, 0], [0, 0, 1, 1], [1, 0, 2, 1], [1, 0, 2, 2], [1, 1, 2, 2]], [[1, 0, 0, 0], [1, 1, 0, 0], [1, 1, 2, 0], [0, 0, 1, 1], [1, 1, 2, 1], [1, 0, 2, 2], [1, 1, 2, 2]], [[1, 0, 0, 0], [1, 1, 0, 0], [1, 0, 2, 0], [1, 1, 2, 0], [1, 0, 2, 1], [1, 1, 2, 1], [1, 0, 2, 2], [1, 1, 2, 2]], [[1, 0, 0, 0], [1, 1, 0, 0], [0, 0, 1, 1], [1, 0, 2, 1], [1, 1, 2, 1], [0, 0, 1, 2], [1, 0, 2, 2], [1, 1, 2, 2]], [[0, 0, 1, 0], [1, 0, 2, 0], [1, 1, 2, 0], [0, 0, 1, 1], [1, 0, 2, 1], [1, 1, 2, 1], [0, 0, 1, 2], [1, 0, 2, 2], [1, 1, 2, 2]]]

[8, 5]
[[[1, 0], [2, 0], [4, 0], [0, 1], [5, 2], [4, 3], [2, 4]]]

[4, 2, 5]
[[[1, 0, 0], [2, 0, 0], [1, 1, 0], [2, 1, 0], [0, 0, 1], [2, 0, 3], [2, 1, 3], [1, 0, 4], [1, 1, 4]], [[0, 1, 0], [2, 1, 0], [0, 0, 1], [0, 1, 3], [2, 1, 3]]]

[2, 2, 2, 5]
[[[1, 0, 0, 0], [1, 1, 0, 0], [1, 0, 1, 0], [0, 0, 0, 1], [1, 0, 0, 3], [1, 1, 0, 3]], [[1, 0, 0, 0], [1, 1, 0, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 0, 0, 3], [1, 1, 0, 3]], [[1, 0, 0, 0], [1, 1, 0, 0], [1, 0, 1, 0], [0, 0, 0, 1], [1, 0, 0, 3], [1, 0, 1, 3]], [[1, 0, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 0, 0, 3], [1, 0, 1, 3]], [[1, 0, 0, 0], [1, 1, 0, 0], [1, 0, 1, 0], [0, 0, 0, 1], [1, 1, 0, 3], [1, 0, 1, 3]], [[1, 1, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 1, 0, 3], [1, 0, 1, 3]], [[1, 0, 0, 0], [1, 1, 0, 0], [0, 0, 0, 1], [1, 0, 0, 3], [1, 1, 0, 3], [1, 0, 1, 3]], [[1, 0, 0, 0], [1, 0, 1, 0], [0, 0, 0, 1], [1, 0, 0, 3], [1, 1, 0, 3], [1, 0, 1, 3]], [[1, 1, 0, 0], [1, 0, 1, 0], [0, 0, 0, 1], [1, 0, 0, 3], [1, 1, 0, 3], [1, 0, 1, 3]], [[1, 0, 0, 0], [1, 1, 0, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 0, 0, 3], [1, 1, 1, 3]], [[1, 0, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 0, 0, 3], [1, 1, 1, 3]], [[1, 0, 0, 0], [1, 1, 0, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 1, 0, 3], [1, 1, 1, 3]], [[1, 1, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 1, 0, 3], [1, 1, 1, 3]], [[1, 0, 0, 0], [1, 1, 0, 0], [0, 0, 0, 1], [1, 0, 0, 3], [1, 1, 0, 3], [1, 1, 1, 3]], [[1, 0, 0, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 0, 0, 3], [1, 1, 0, 3], [1, 1, 1, 3]], [[1, 1, 0, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 0, 0, 3], [1, 1, 0, 3], [1, 1, 1, 3]], [[1, 0, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 0, 1, 3], [1, 1, 1, 3]], [[1, 1, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 0, 1, 3], [1, 1, 1, 3]], [[1, 0, 0, 0], [1, 0, 1, 0], [0, 0, 0, 1], [1, 0, 0, 3], [1, 0, 1, 3], [1, 1, 1, 3]], [[1, 0, 0, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 0, 0, 3], [1, 0, 1, 3], [1, 1, 1, 3]], [[1, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 0, 0, 3], [1, 0, 1, 3], [1, 1, 1, 3]], [[1, 1, 0, 0], [1, 0, 1, 0], [0, 0, 0, 1], [1, 1, 0, 3], [1, 0, 1, 3], [1, 1, 1, 3]], [[1, 1, 0, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 1, 0, 3], [1, 0, 1, 3], [1, 1, 1, 3]], [[1, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 1, 0, 3], [1, 0, 1, 3], [1, 1, 1, 3]], [[1, 0, 0, 0], [0, 0, 0, 1], [1, 0, 0, 3], [1, 1, 0, 3], [1, 0, 1, 3], [1, 1, 1, 3]], [[1, 1, 0, 0], [0, 0, 0, 1], [1, 0, 0, 3], [1, 1, 0, 3], [1, 0, 1, 3], [1, 1, 1, 3]], [[1, 0, 1, 0], [0, 0, 0, 1], [1, 0, 0, 3], [1, 1, 0, 3], [1, 0, 1, 3], [1, 1, 1, 3]], [[1, 1, 1, 0], [0, 0, 0, 1], [1, 0, 0, 3], [1, 1, 0, 3], [1, 0, 1, 3], [1, 1, 1, 3]]]

[2, 3, 7]
[[[1, 0, 0], [0, 1, 0], [1, 2, 0], [0, 0, 1], [1, 0, 4], [0, 1, 5], [1, 2, 6]]]

[4, 11]
[[[1, 0], [2, 0], [0, 1], [3, 3], [2, 6]]]

[2, 2, 11]
[[[1, 0, 0], [1, 1, 0], [0, 0, 1], [1, 0, 6], [1, 1, 6]]]

[9, 5]
[[[1, 0], [3, 0], [0, 1], [6, 2], [2, 4]]]

[3, 3, 5]
[[[1, 0, 0], [1, 1, 0], [1, 2, 0], [0, 0, 1]], [[1, 0, 0], [1, 2, 0], [0, 0, 1], [2, 0, 2], [2, 1, 2]], [[1, 0, 0], [1, 1, 0], [0, 0, 1], [2, 0, 2], [2, 2, 2]], [[1, 1, 0], [1, 2, 0], [0, 0, 1], [2, 1, 2], [2, 2, 2]], [[1, 0, 0], [1, 1, 0], [1, 2, 0], [2, 0, 2], [2, 1, 2], [2, 2, 2]], [[1, 0, 0], [0, 0, 1], [2, 0, 2], [2, 1, 2], [2, 2, 2]], [[1, 1, 0], [0, 0, 1], [2, 0, 2], [2, 1, 2], [2, 2, 2]], [[1, 2, 0], [0, 0, 1], [2, 0, 2], [2, 1, 2], [2, 2, 2]]]

[16, 3]
[[[1, 0], [2, 0], [4, 0], [8, 0], [0, 1], [11, 1], [12, 1], [6, 2], [8, 2]]]

[8, 2, 3]
[[[1, 0, 0], [2, 0, 0], [4, 0, 0], [1, 1, 0], [2, 1, 0], [4, 1, 0], [0, 0, 1], [4, 0, 2], [4, 1, 2]], [[4, 0, 0], [2, 1, 0], [4, 1, 0], [0, 0, 1], [6, 1, 1], [4, 0, 2], [4, 1, 2]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [1, 1, 0], [4, 1, 0], [0, 0, 1], [3, 0, 2], [4, 0, 2], [4, 1, 2]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [4, 1, 0], [0, 0, 1], [6, 0, 1], [3, 0, 2], [4, 0, 2], [4, 1, 2]], [[1, 0, 0], [2, 0, 0], [1, 1, 0], [4, 1, 0], [0, 0, 1], [6, 0, 1], [3, 0, 2], [4, 0, 2], [4, 1, 2]], [[2, 0, 0], [4, 0, 0], [1, 1, 0], [4, 1, 0], [0, 0, 1], [6, 0, 1], [3, 0, 2], [4, 0, 2], [4, 1, 2]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [1, 1, 0], [4, 1, 0], [0, 0, 1], [4, 0, 2], [3, 1, 2], [4, 1, 2]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [4, 1, 0], [0, 0, 1], [6, 0, 1], [4, 0, 2], [3, 1, 2], [4, 1, 2]], [[1, 0, 0], [2, 0, 0], [1, 1, 0], [4, 1, 0], [0, 0, 1], [6, 0, 1], [4, 0, 2], [3, 1, 2], [4, 1, 2]], [[2, 0, 0], [4, 0, 0], [1, 1, 0], [4, 1, 0], [0, 0, 1], [6, 0, 1], [4, 0, 2], [3, 1, 2], [4, 1, 2]], [[1, 0, 0], [4, 0, 0], [1, 1, 0], [4, 1, 0], [0, 0, 1], [3, 0, 2], [4, 0, 2], [3, 1, 2], [4, 1, 2]], [[1, 0, 0], [4, 0, 0], [4, 1, 0], [0, 0, 1], [6, 0, 1], [3, 0, 2], [4, 0, 2], [3, 1, 2], [4, 1, 2]], [[1, 0, 0], [1, 1, 0], [4, 1, 0], [0, 0, 1], [6, 0, 1], [3, 0, 2], [4, 0, 2], [3, 1, 2], [4, 1, 2]], [[4, 0, 0], [1, 1, 0], [4, 1, 0], [0, 0, 1], [6, 0, 1], [3, 0, 2], [4, 0, 2], [3, 1, 2], [4, 1, 2]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [1, 1, 0], [2, 1, 0], [4, 1, 0], [6, 0, 1], [6, 1, 1], [3, 0, 2], [4, 0, 2], [3, 1, 2], [4, 1, 2]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [1, 1, 0], [2, 1, 0], [0, 0, 1], [6, 0, 1], [6, 1, 1], [3, 0, 2], [4, 0, 2], [3, 1, 2], [4, 1, 2]], [[4, 0, 0], [4, 1, 0], [0, 0, 1], [6, 0, 1], [6, 1, 1], [3, 0, 2], [4, 0, 2], [3, 1, 2], [4, 1, 2]], [[0, 1, 0], [4, 1, 0], [0, 0, 1], [0, 1, 2], [4, 1, 2]]]

[4, 4, 3]
[[[1, 0, 0], [2, 0, 0], [1, 1, 0], [1, 2, 0], [2, 2, 0], [1, 3, 0], [0, 0, 1], [2, 0, 2], [2, 2, 2]], [[1, 0, 0], [2, 0, 0], [1, 1, 0], [2, 2, 0], [1, 3, 0], [0, 0, 1], [3, 0, 1], [2, 0, 2], [2, 2, 2]], [[1, 0, 0], [2, 0, 0], [1, 2, 0], [2, 2, 0], [1, 3, 0], [0, 0, 1], [3, 1, 1], [2, 0, 2], [2, 2, 2]], [[1, 0, 0], [2, 0, 0], [2, 2, 0], [1, 3, 0], [0, 0, 1], [3, 0, 1], [3, 1, 1], [2, 0, 2], [2, 2, 2]], [[2, 0, 0], [1, 1, 0], [1, 2, 0], [2, 2, 0], [1, 3, 0], [0, 0, 1], [3, 2, 1], [2, 0, 2], [2, 2, 2]], [[2, 0, 0], [1, 1, 0], [2, 2, 0], [1, 3, 0], [0, 0, 1], [3, 0, 1], [3, 2, 1], [2, 0, 2], [2, 2, 2]], [[2, 0, 0], [1, 2, 0], [2, 2, 0], [1, 3, 0], [0, 0, 1], [3, 1, 1], [3, 2, 1], [2, 0, 2], [2, 2, 2]], [[2, 0, 0], [2, 2, 0], [1, 3, 0], [0, 0, 1], [3, 0, 1], [3, 1, 1], [3, 2, 1], [2, 0, 2], [2, 2, 2]], [[1, 0, 0], [2, 0, 0], [1, 1, 0], [1, 2, 0], [2, 2, 0], [0, 0, 1], [3, 3, 1], [2, 0, 2], [2, 2, 2]], [[1, 0, 0], [2, 0, 0], [1, 1, 0], [2, 2, 0], [0, 0, 1], [3, 0, 1], [3, 3, 1], [2, 0, 2], [2, 2, 2]], [[1, 0, 0], [2, 0, 0], [1, 2, 0], [2, 2, 0], [0, 0, 1], [3, 1, 1], [3, 3, 1], [2, 0, 2], [2, 2, 2]], [[1, 0, 0], [2, 0, 0], [2, 2, 0], [0, 0, 1], [3, 0, 1], [3, 1, 1], [3, 3, 1], [2, 0, 2], [2, 2, 2]], [[2, 0, 0], [1, 1, 0], [1, 2, 0], [2, 2, 0], [0, 0, 1], [3, 2, 1], [3, 3, 1], [2, 0, 2], [2, 2, 2]], [[2, 0, 0], [1, 1, 0], [2, 2, 0], [0, 0, 1], [3, 0, 1], [3, 2, 1], [3, 3, 1], [2, 0, 2], [2, 2, 2]], [[2, 0, 0], [1, 2, 0], [2, 2, 0], [0, 0, 1], [3, 1, 1], [3, 2, 1], [3, 3, 1], [2, 0, 2], [2, 2, 2]], [[1, 0, 0], [2, 0, 0], [1, 1, 0], [1, 2, 0], [2, 2, 0], [1, 3, 0], [3, 0, 1], [3, 1, 1], [3, 2, 1], [3, 3, 1], [2, 0, 2], [2, 2, 2]], [[1, 0, 0], [2, 0, 0], [1, 2, 0], [0, 0, 1], [3, 0, 1], [3, 1, 1], [3, 2, 1], [3, 3, 1], [2, 0, 2], [2, 2, 2]], [[2, 0, 0], [2, 2, 0], [0, 0, 1], [3, 0, 1], [3, 1, 1], [3, 2, 1], [3, 3, 1], [2, 0, 2], [2, 2, 2]], [[1, 1, 0], [2, 2, 0], [1, 3, 0], [0, 0, 1], [3, 0, 1], [3, 1, 1], [3, 2, 1], [3, 3, 1], [2, 0, 2], [2, 2, 2]]]

[4, 2, 2, 3]
[[[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [2, 0, 1, 0], [0, 0, 0, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [2, 0, 1, 0], [0, 0, 0, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [2, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[2, 0, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [2, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [2, 1, 1, 0], [0, 0, 0, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [2, 1, 0, 0], [1, 1, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[2, 0, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [2, 1, 0, 0], [2, 0, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [2, 1, 0, 0], [2, 1, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [2, 0, 1, 0], [0, 0, 0, 1], [3, 1, 0, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [3, 1, 0, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [2, 1, 1, 0], [0, 0, 0, 1], [3, 1, 0, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [2, 0, 1, 0], [3, 0, 0, 1], [3, 1, 0, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [2, 1, 1, 0], [3, 0, 0, 1], [3, 1, 0, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [2, 0, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 1, 0, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[2, 0, 0, 0], [2, 1, 0, 0], [2, 0, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 1, 0, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 1, 0, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[2, 0, 0, 0], [2, 1, 0, 0], [2, 1, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 1, 0, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [0, 0, 0, 1], [3, 0, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[2, 0, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [2, 0, 1, 0], [0, 0, 0, 1], [3, 0, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[2, 0, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [3, 0, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 0, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [0, 0, 0, 1], [3, 1, 0, 1], [3, 0, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [1, 0, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 1, 0, 1], [3, 0, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[2, 0, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 1, 0, 1], [3, 0, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [1, 1, 1, 0], [0, 0, 0, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[2, 0, 0, 0], [2, 1, 0, 0], [2, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[2, 0, 0, 0], [2, 1, 0, 0], [1, 1, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [2, 1, 0, 0], [1, 1, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [1, 1, 1, 0], [0, 0, 0, 1], [3, 1, 0, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [1, 1, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 1, 0, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[2, 0, 0, 0], [2, 1, 0, 0], [1, 1, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 1, 0, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[2, 0, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [2, 0, 1, 0], [1, 1, 1, 0], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[2, 0, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [2, 1, 1, 0], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[2, 0, 0, 0], [2, 1, 0, 0], [2, 0, 1, 0], [0, 0, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[2, 0, 0, 0], [1, 0, 1, 0], [2, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[2, 0, 0, 0], [2, 1, 0, 0], [2, 1, 1, 0], [0, 0, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[2, 0, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [2, 1, 0, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [0, 0, 0, 1], [3, 1, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[2, 0, 0, 0], [1, 1, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [3, 1, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [3, 0, 0, 1], [3, 1, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[2, 0, 0, 0], [2, 1, 0, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 1, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [2, 0, 1, 0], [0, 0, 0, 1], [2, 0, 0, 2], [2, 0, 1, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [2, 0, 1, 0], [0, 0, 0, 1], [2, 0, 0, 2], [2, 0, 1, 2]], [[2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [2, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [2, 0, 0, 2], [2, 0, 1, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [1, 0, 1, 0], [2, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [2, 0, 0, 2], [2, 0, 1, 2]], [[2, 0, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [2, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [2, 0, 0, 2], [2, 0, 1, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 0, 1, 0], [2, 0, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [2, 0, 0, 2], [2, 0, 1, 2]], [[2, 0, 0, 0], [1, 1, 0, 0], [1, 0, 1, 0], [2, 0, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [2, 0, 0, 2], [2, 0, 1, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [2, 0, 1, 0], [1, 1, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [2, 0, 0, 2], [2, 0, 1, 2]], [[2, 0, 0, 0], [1, 1, 0, 0], [2, 0, 1, 0], [1, 1, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [2, 0, 0, 2], [2, 0, 1, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [2, 1, 0, 0], [2, 0, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [2, 0, 0, 2], [2, 0, 1, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [2, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [2, 0, 0, 2], [2, 0, 1, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [2, 0, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [2, 0, 0, 2], [2, 0, 1, 2]], [[2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [2, 0, 1, 0], [0, 0, 0, 1], [3, 1, 0, 1], [2, 0, 0, 2], [2, 0, 1, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [1, 0, 1, 0], [2, 0, 1, 0], [0, 0, 0, 1], [3, 1, 0, 1], [2, 0, 0, 2], [2, 0, 1, 2]], [[2, 0, 0, 0], [1, 1, 0, 0], [2, 0, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [3, 1, 0, 1], [2, 0, 0, 2], [2, 0, 1, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [2, 0, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 1, 0, 1], [2, 0, 0, 2], [2, 0, 1, 2]], [[2, 0, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [2, 0, 1, 0], [0, 0, 0, 1], [3, 0, 1, 1], [2, 0, 0, 2], [2, 0, 1, 2]], [[2, 0, 0, 0], [1, 1, 0, 0], [1, 0, 1, 0], [2, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [3, 0, 1, 1], [2, 0, 0, 2], [2, 0, 1, 2]], [[2, 0, 0, 0], [1, 0, 1, 0], [2, 0, 1, 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[2, 0, 1, 2]], [[2, 0, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [2, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [2, 1, 0, 2], [2, 0, 1, 2]], [[2, 1, 0, 0], [2, 0, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [2, 1, 0, 2], [2, 0, 1, 2]], [[1, 0, 0, 0], [2, 1, 0, 0], [2, 0, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [2, 1, 0, 2], [2, 0, 1, 2]], [[1, 1, 0, 0], [2, 1, 0, 0], [2, 0, 1, 0], [0, 0, 0, 1], [3, 1, 0, 1], [2, 1, 0, 2], [2, 0, 1, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [2, 0, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 1, 0, 1], [2, 1, 0, 2], [2, 0, 1, 2]], [[2, 1, 0, 0], [1, 0, 1, 0], [2, 0, 1, 0], [0, 0, 0, 1], [3, 0, 1, 1], [2, 1, 0, 2], [2, 0, 1, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [2, 1, 0, 0], [1, 0, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 0, 1, 1], [2, 1, 0, 2], [2, 0, 1, 2]], [[2, 1, 0, 0], [2, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [3, 1, 1, 1], [2, 1, 0, 2], [2, 0, 1, 2]], [[2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [1, 1, 1, 0], [0, 0, 0, 1], [3, 1, 0, 1], [3, 1, 1, 1], [2, 1, 0, 2], [2, 0, 1, 2]], 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1, 1], [2, 0, 0, 2], [2, 1, 0, 2], [2, 0, 1, 2]], [[2, 1, 0, 0], [1, 1, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 1, 0, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2], [2, 0, 1, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [0, 0, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2], [2, 0, 1, 2]], [[2, 1, 0, 0], [2, 0, 1, 0], [0, 0, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2], [2, 0, 1, 2]], [[2, 0, 0, 0], [1, 0, 1, 0], [2, 0, 1, 0], [0, 0, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2], [2, 0, 1, 2]], [[2, 0, 0, 0], [2, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2], [2, 0, 1, 2]], [[1, 0, 0, 0], [2, 1, 0, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2], [2, 0, 1, 2]], [[2, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2], [2, 0, 1, 2]], [[1, 1, 0, 0], [2, 1, 0, 0], [0, 0, 0, 1], [3, 1, 0, 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[2, 0, 0, 2], [2, 1, 0, 2], [2, 1, 1, 2]], [[1, 1, 0, 0], [2, 1, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 1, 0, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2], [2, 1, 1, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 0, 0], [0, 0, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2], [2, 1, 1, 2]], [[2, 1, 0, 0], [2, 1, 1, 0], [0, 0, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2], [2, 1, 1, 2]], [[2, 0, 0, 0], [1, 0, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2], [2, 1, 1, 2]], [[2, 0, 0, 0], [1, 1, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2], [2, 1, 1, 2]], [[1, 0, 0, 0], [2, 1, 0, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2], [2, 1, 1, 2]], [[1, 0, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2], [2, 1, 1, 2]], [[1, 1, 0, 0], [2, 1, 0, 0], [0, 0, 0, 1], [3, 1, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2], [2, 1, 1, 2]], [[1, 1, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [3, 1, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2], [2, 1, 1, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 0, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 1, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2], [2, 1, 1, 2]], [[2, 0, 0, 0], [1, 1, 0, 0], [1, 0, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 1, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2], [2, 1, 1, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 1, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2], [2, 1, 1, 2]], [[2, 0, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 1, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2], [2, 1, 1, 2]], [[2, 1, 0, 0], [2, 0, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [2, 0, 1, 2], [2, 1, 1, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 0, 1, 0], [2, 0, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [2, 0, 1, 2], [2, 1, 1, 2]], [[2, 0, 0, 0], [1, 1, 0, 0], [1, 0, 1, 0], [2, 0, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [2, 0, 1, 2], [2, 1, 1, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [2, 0, 1, 0], [1, 1, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [2, 0, 1, 2], [2, 1, 1, 2]], [[2, 0, 0, 0], [1, 1, 0, 0], [2, 0, 1, 0], [1, 1, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [2, 0, 1, 2], [2, 1, 1, 2]], [[1, 0, 0, 0], [2, 0, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [2, 0, 1, 2], [2, 1, 1, 2]], [[1, 1, 0, 0], [2, 0, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [3, 1, 0, 1], [2, 0, 1, 2], [2, 1, 1, 2]], [[1, 0, 1, 0], [2, 0, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [3, 0, 1, 1], [2, 0, 1, 2], [2, 1, 1, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 0, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 0, 1, 1], [2, 0, 1, 2], [2, 1, 1, 2]], [[2, 0, 0, 0], [1, 1, 0, 0], [1, 0, 1, 0], [2, 0, 1, 0], [0, 0, 0, 1], [3, 1, 0, 1], [3, 0, 1, 1], [2, 0, 1, 2], [2, 1, 1, 2]], [[2, 0, 1, 0], [1, 1, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [3, 1, 1, 1], [2, 0, 1, 2], [2, 1, 1, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [2, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 1, 1, 1], [2, 0, 1, 2], [2, 1, 1, 2]], [[2, 0, 0, 0], [1, 1, 0, 0], [1, 1, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [3, 1, 0, 1], [3, 1, 1, 1], [2, 0, 1, 2], [2, 1, 1, 2]], [[2, 0, 0, 0], [1, 1, 0, 0], [2, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 0, 1, 1], [2, 0, 0, 2], [2, 0, 1, 2], [2, 1, 1, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [2, 1, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 0, 1, 1], [2, 0, 0, 2], [2, 0, 1, 2], [2, 1, 1, 2]], [[2, 0, 0, 0], [1, 0, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 0, 1, 1], [2, 0, 0, 2], [2, 0, 1, 2], [2, 1, 1, 2]], [[2, 0, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 0, 1, 1], [2, 0, 0, 2], [2, 0, 1, 2], [2, 1, 1, 2]], [[2, 0, 0, 0], [1, 1, 0, 0], [2, 0, 1, 0], [0, 0, 0, 1], [3, 1, 0, 1], [3, 0, 1, 1], [2, 0, 0, 2], [2, 0, 1, 2], [2, 1, 1, 2]], [[2, 0, 0, 0], [1, 0, 1, 0], [2, 0, 1, 0], [0, 0, 0, 1], [3, 1, 0, 1], [3, 0, 1, 1], [2, 0, 0, 2], [2, 0, 1, 2], [2, 1, 1, 2]], [[2, 0, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [3, 1, 0, 1], [3, 0, 1, 1], [2, 0, 0, 2], [2, 0, 1, 2], [2, 1, 1, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [3, 1, 0, 1], [3, 0, 1, 1], [2, 0, 0, 2], [2, 0, 1, 2], [2, 1, 1, 2]], [[1, 1, 0, 0], [2, 0, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 1, 0, 1], [3, 0, 1, 1], [2, 0, 0, 2], [2, 0, 1, 2], [2, 1, 1, 2]], [[1, 0, 0, 0], [2, 1, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 1, 0, 1], [3, 0, 1, 1], [2, 0, 0, 2], [2, 0, 1, 2], [2, 1, 1, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [2, 0, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 0, 1, 2], [2, 1, 1, 2]], [[2, 0, 0, 0], [2, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 0, 1, 2], [2, 1, 1, 2]], [[2, 0, 0, 0], [1, 1, 0, 0], [1, 0, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 0, 1, 2], [2, 1, 1, 2]], [[2, 0, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 0, 1, 2], [2, 1, 1, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 0, 1, 0], [2, 0, 1, 0], [0, 0, 0, 1], [3, 1, 0, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 0, 1, 2], [2, 1, 1, 2]], [[2, 0, 0, 0], [1, 1, 0, 0], [2, 1, 1, 0], [0, 0, 0, 1], [3, 1, 0, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 0, 1, 2], [2, 1, 1, 2]], [[2, 0, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [3, 1, 0, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 0, 1, 2], [2, 1, 1, 2]], [[2, 0, 0, 0], [1, 1, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [3, 1, 0, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 0, 1, 2], [2, 1, 1, 2]], [[1, 0, 0, 0], [2, 0, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 1, 0, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 0, 1, 2], [2, 1, 1, 2]], [[1, 1, 0, 0], [2, 1, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 1, 0, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 0, 1, 2], [2, 1, 1, 2]], [[2, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 0, 1, 2], [2, 1, 1, 2]], [[1, 0, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 0, 1, 2], [2, 1, 1, 2]], [[1, 0, 1, 0], [2, 0, 1, 0], [0, 0, 0, 1], [3, 1, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 0, 1, 2], [2, 1, 1, 2]], [[1, 1, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [3, 1, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 0, 1, 2], [2, 1, 1, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 0, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 1, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 0, 1, 2], [2, 1, 1, 2]], [[2, 0, 0, 0], [1, 1, 0, 0], [1, 0, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 1, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 0, 1, 2], [2, 1, 1, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [1, 1, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 1, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 0, 1, 2], [2, 1, 1, 2]], [[2, 0, 0, 0], [1, 1, 0, 0], [1, 1, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 1, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 0, 1, 2], [2, 1, 1, 2]], [[2, 1, 0, 0], [2, 0, 1, 0], [0, 0, 0, 1], [2, 1, 0, 2], [2, 0, 1, 2], [2, 1, 1, 2]], [[2, 1, 0, 0], [2, 1, 1, 0], [0, 0, 0, 1], [2, 1, 0, 2], [2, 0, 1, 2], [2, 1, 1, 2]], [[2, 0, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [2, 1, 0, 2], [2, 0, 1, 2], [2, 1, 1, 2]], [[1, 0, 0, 0], [2, 0, 0, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 1, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2], [2, 0, 1, 2], [2, 1, 1, 2]], [[2, 0, 0, 0], [1, 1, 0, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 1, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2], [2, 0, 1, 2], [2, 1, 1, 2]], [[2, 1, 0, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 1, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2], [2, 0, 1, 2], [2, 1, 1, 2]], [[2, 0, 0, 0], [1, 0, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 1, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2], [2, 0, 1, 2], [2, 1, 1, 2]], [[2, 0, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 1, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2], [2, 0, 1, 2], [2, 1, 1, 2]], [[2, 0, 0, 0], [1, 1, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 1, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2], [2, 0, 1, 2], [2, 1, 1, 2]], [[2, 1, 1, 0], [0, 0, 0, 1], [3, 0, 0, 1], [3, 1, 0, 1], [3, 0, 1, 1], [3, 1, 1, 1], [2, 0, 0, 2], [2, 1, 0, 2], [2, 0, 1, 2], [2, 1, 1, 2]], [[0, 1, 0, 0], [2, 1, 0, 0], [0, 1, 1, 0], [0, 0, 0, 1], [0, 1, 0, 2], [2, 1, 0, 2]], [[0, 1, 0, 0], [2, 1, 0, 0], [2, 1, 1, 0], [0, 0, 0, 1], [0, 1, 0, 2], [2, 1, 0, 2]], [[0, 1, 0, 0], [2, 1, 0, 0], [0, 1, 1, 0], [0, 0, 0, 1], [0, 1, 0, 2], [0, 1, 1, 2]], [[0, 1, 0, 0], [0, 1, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [0, 1, 0, 2], [0, 1, 1, 2]], [[0, 1, 0, 0], [2, 1, 0, 0], [0, 1, 1, 0], [0, 0, 0, 1], [2, 1, 0, 2], [0, 1, 1, 2]], [[2, 1, 0, 0], [0, 1, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [2, 1, 0, 2], [0, 1, 1, 2]], [[0, 1, 0, 0], [2, 1, 0, 0], [0, 0, 0, 1], [0, 1, 0, 2], [2, 1, 0, 2], [0, 1, 1, 2]], [[0, 1, 0, 0], [0, 1, 1, 0], [0, 0, 0, 1], [0, 1, 0, 2], [2, 1, 0, 2], [0, 1, 1, 2]], [[2, 1, 0, 0], [0, 1, 1, 0], [0, 0, 0, 1], [0, 1, 0, 2], [2, 1, 0, 2], [0, 1, 1, 2]], [[0, 1, 0, 0], [2, 1, 0, 0], [2, 1, 1, 0], [0, 0, 0, 1], [0, 1, 0, 2], [2, 1, 1, 2]], [[0, 1, 0, 0], [0, 1, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [0, 1, 0, 2], [2, 1, 1, 2]], [[0, 1, 0, 0], [2, 1, 0, 0], [2, 1, 1, 0], [0, 0, 0, 1], [2, 1, 0, 2], [2, 1, 1, 2]], [[2, 1, 0, 0], [0, 1, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [2, 1, 0, 2], [2, 1, 1, 2]], [[0, 1, 0, 0], [2, 1, 0, 0], [0, 0, 0, 1], [0, 1, 0, 2], [2, 1, 0, 2], [2, 1, 1, 2]], [[0, 1, 0, 0], [2, 1, 1, 0], [0, 0, 0, 1], [0, 1, 0, 2], [2, 1, 0, 2], [2, 1, 1, 2]], [[2, 1, 0, 0], [2, 1, 1, 0], [0, 0, 0, 1], [0, 1, 0, 2], [2, 1, 0, 2], [2, 1, 1, 2]], [[0, 1, 0, 0], [0, 1, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [0, 1, 1, 2], [2, 1, 1, 2]], [[2, 1, 0, 0], [0, 1, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [0, 1, 1, 2], [2, 1, 1, 2]], [[0, 1, 0, 0], [0, 1, 1, 0], [0, 0, 0, 1], [0, 1, 0, 2], [0, 1, 1, 2], [2, 1, 1, 2]], [[0, 1, 0, 0], [2, 1, 1, 0], [0, 0, 0, 1], [0, 1, 0, 2], [0, 1, 1, 2], [2, 1, 1, 2]], [[0, 1, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [0, 1, 0, 2], [0, 1, 1, 2], [2, 1, 1, 2]], [[2, 1, 0, 0], [0, 1, 1, 0], [0, 0, 0, 1], [2, 1, 0, 2], [0, 1, 1, 2], [2, 1, 1, 2]], [[2, 1, 0, 0], [2, 1, 1, 0], [0, 0, 0, 1], [2, 1, 0, 2], [0, 1, 1, 2], [2, 1, 1, 2]], [[0, 1, 1, 0], [2, 1, 1, 0], [0, 0, 0, 1], [2, 1, 0, 2], [0, 1, 1, 2], [2, 1, 1, 2]], [[0, 1, 0, 0], [0, 0, 0, 1], [0, 1, 0, 2], [2, 1, 0, 2], [0, 1, 1, 2], [2, 1, 1, 2]], [[2, 1, 0, 0], [0, 0, 0, 1], [0, 1, 0, 2], [2, 1, 0, 2], [0, 1, 1, 2], [2, 1, 1, 2]], [[0, 1, 1, 0], [0, 0, 0, 1], [0, 1, 0, 2], [2, 1, 0, 2], [0, 1, 1, 2], [2, 1, 1, 2]], [[2, 1, 1, 0], [0, 0, 0, 1], [0, 1, 0, 2], [2, 1, 0, 2], [0, 1, 1, 2], [2, 1, 1, 2]]]

[2, 2, 2, 2, 3]
[[[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 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[1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 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[1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2]], [[1, 0, 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0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2]], [[1, 0, 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0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 0, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 1, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 0, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 0, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 0, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 0, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]], [[1, 1, 1, 1, 0], [0, 0, 0, 0, 1], [1, 0, 0, 0, 2], [1, 1, 0, 0, 2], [1, 0, 1, 0, 2], [1, 1, 1, 0, 2], [1, 0, 0, 1, 2], [1, 1, 0, 1, 2], [1, 0, 1, 1, 2], [1, 1, 1, 1, 2]]]

[7, 7]
[[[1, 0], [1, 1], [1, 2], [1, 3], [1, 4], [1, 5], [1, 6]]]

[2, 25]
[[[1, 0], [0, 1], [0, 5], [1, 13], [1, 15]]]

[2, 5, 5]
[[[1, 0, 0], [0, 1, 0], [1, 3, 0], [0, 1, 2], [0, 1, 3]], [[1, 0, 0], [0, 1, 1], [1, 3, 1], [0, 1, 2], [0, 1, 3]], [[1, 0, 0], [0, 1, 0], [0, 1, 1], [0, 1, 2], [1, 3, 3]], [[1, 0, 0], [0, 1, 0], [1, 3, 0], [1, 3, 1], [0, 1, 2], [1, 3, 3]], [[1, 0, 0], [0, 1, 1], [1, 3, 1], [0, 1, 2], [1, 3, 2], [1, 3, 3]], [[1, 0, 0], [0, 1, 0], [1, 3, 0], [0, 1, 1], [0, 1, 4]], [[1, 0, 0], [0, 1, 0], [1, 3, 1], [0, 1, 2], [0, 1, 4]], [[1, 0, 0], [0, 1, 0], [1, 3, 0], [1, 3, 1], [1, 3, 2], [0, 1, 4]], [[1, 0, 0], [0, 1, 1], [0, 1, 2], [1, 3, 2], [0, 1, 4]], [[1, 0, 0], [0, 1, 0], [0, 1, 1], [0, 1, 2], [0, 1, 3], [0, 1, 4]], [[1, 0, 0], [0, 1, 0], [1, 3, 2], [0, 1, 3], [0, 1, 4]], [[1, 0, 0], [1, 3, 0], [0, 1, 1], [1, 3, 2], [1, 3, 3], [0, 1, 4]], [[1, 0, 0], [0, 1, 1], [0, 1, 3], [1, 3, 3], [0, 1, 4]], [[1, 0, 0], [0, 1, 0], [0, 1, 1], [0, 1, 3], [1, 3, 4]], [[1, 0, 0], [1, 3, 0], [1, 3, 1], [0, 1, 2], [0, 1, 3], [1, 3, 4]], [[1, 0, 0], [0, 1, 0], [1, 3, 0], [1, 3, 2], [0, 1, 3], [1, 3, 4]], [[1, 0, 0], [0, 1, 0], [1, 3, 0], [0, 1, 1], [1, 3, 3], [1, 3, 4]], [[1, 0, 0], [0, 1, 0], [1, 3, 0], [1, 3, 1], [1, 3, 2], [1, 3, 3], [1, 3, 4]], [[1, 0, 0], [1, 3, 0], [0, 1, 1], [1, 3, 1], [1, 3, 2], [1, 3, 3], [1, 3, 4]], [[1, 0, 0], [1, 3, 0], [1, 3, 1], [0, 1, 2], [1, 3, 2], [1, 3, 3], [1, 3, 4]], [[1, 0, 0], [0, 1, 1], [1, 3, 1], [0, 1, 3], [1, 3, 3], [1, 3, 4]], [[1, 0, 0], [1, 3, 0], [1, 3, 1], [1, 3, 2], [0, 1, 3], [1, 3, 3], [1, 3, 4]], [[1, 0, 0], [1, 3, 1], [0, 1, 2], [1, 3, 2], [0, 1, 4], [1, 3, 4]], [[1, 0, 0], [0, 1, 2], [0, 1, 3], [0, 1, 4], [1, 3, 4]], [[1, 0, 0], [1, 3, 0], [1, 3, 1], [1, 3, 2], [1, 3, 3], [0, 1, 4], [1, 3, 4]], [[1, 0, 0], [1, 3, 2], [0, 1, 3], [1, 3, 3], [0, 1, 4], [1, 3, 4]], [[0, 1, 0], [1, 3, 0], [0, 1, 1], [1, 3, 1], [0, 1, 2], [1, 3, 2], [0, 1, 3], [1, 3, 3], [0, 1, 4], [1, 3, 4]]]

[4, 13]
[[[1, 0], [2, 0], [0, 1], [2, 7], [1, 10]]]

[2, 2, 13]
[[[1, 0, 0], [1, 1, 0], [0, 0, 1], [1, 0, 7], [1, 1, 7]]]

[2, 27]
[[[1, 0], [0, 1], [0, 3], [0, 9], [1, 14], [1, 15], [1, 18]]]

[2, 9, 3]
[[[1, 0, 0], [0, 1, 0], [0, 3, 0], [1, 5, 0], [1, 6, 0], [0, 1, 1], [1, 6, 1], [0, 3, 2]], [[1, 0, 0], [0, 1, 0], [1, 5, 0], [1, 6, 0], [1, 5, 1], [1, 6, 1], [0, 3, 2]], [[1, 0, 0], [0, 1, 0], [0, 3, 0], [0, 1, 1], [0, 3, 1], [0, 1, 2], [0, 3, 2]], [[1, 0, 0], [0, 1, 0], [0, 3, 0], [1, 6, 0], [0, 1, 1], [1, 6, 1], [0, 1, 2], [0, 3, 2]], [[1, 0, 0], [0, 1, 0], [0, 3, 0], [1, 6, 0], [1, 5, 1], [1, 6, 1], [0, 1, 2], [0, 3, 2]], [[1, 0, 0], [1, 5, 0], [1, 6, 0], [0, 1, 1], [1, 6, 1], [0, 3, 2], [1, 5, 2]], [[1, 0, 0], [0, 3, 0], [1, 6, 0], [0, 1, 1], [1, 6, 1], [0, 1, 2], [0, 3, 2], [1, 5, 2]], [[1, 0, 0], [1, 6, 0], [1, 5, 1], [1, 6, 1], [0, 1, 2], [0, 3, 2], [1, 5, 2]], [[1, 0, 0], [0, 1, 0], [0, 3, 0], [1, 5, 0], [1, 6, 0], [0, 3, 1], [0, 1, 2], [1, 6, 2]], [[1, 0, 0], [0, 1, 0], [0, 3, 0], [1, 6, 0], [0, 1, 1], [0, 3, 1], [0, 1, 2], [1, 6, 2]], [[1, 0, 0], [1, 5, 0], [1, 6, 0], [0, 3, 1], [1, 5, 1], [0, 1, 2], [1, 6, 2]], [[1, 0, 0], [0, 3, 0], [1, 6, 0], [0, 1, 1], [0, 3, 1], [1, 5, 1], [0, 1, 2], [1, 6, 2]], [[1, 0, 0], [0, 3, 1], [1, 6, 1], [0, 3, 2], [1, 6, 2]], [[1, 0, 0], [0, 1, 0], [1, 5, 0], [1, 6, 0], [0, 3, 1], [1, 5, 2], [1, 6, 2]], [[1, 0, 0], [0, 1, 0], [0, 3, 0], [1, 6, 0], [0, 1, 1], [0, 3, 1], [1, 5, 2], [1, 6, 2]], [[1, 0, 0], [1, 6, 0], [0, 1, 1], [0, 3, 1], [1, 5, 1], [1, 5, 2], [1, 6, 2]], [[1, 0, 0], [1, 5, 0], [1, 6, 0], [0, 3, 1], [1, 5, 1], [1, 6, 1], [1, 5, 2], [1, 6, 2]], [[1, 0, 0], [0, 1, 0], [0, 3, 0], [1, 5, 0], [1, 6, 0], [0, 1, 1], [1, 5, 1], [1, 6, 1], [0, 1, 2], [1, 5, 2], [1, 6, 2]], [[1, 0, 0], [1, 5, 0], [1, 6, 0], [1, 5, 1], [1, 6, 1], [0, 3, 2], [1, 5, 2], [1, 6, 2]], [[0, 1, 0], [0, 3, 0], [1, 5, 0], [1, 6, 0], [0, 1, 1], [0, 3, 1], [1, 5, 1], [1, 6, 1], [0, 1, 2], [0, 3, 2], [1, 5, 2], [1, 6, 2]], [[1, 0, 0], [0, 0, 1], [0, 3, 1], [0, 6, 1]], [[1, 0, 0], [0, 0, 1], [0, 6, 1], [1, 0, 2], [1, 3, 2]], [[1, 0, 0], [0, 0, 1], [0, 3, 1], [1, 0, 2], [1, 6, 2]], [[1, 0, 0], [0, 3, 1], [0, 6, 1], [1, 3, 2], [1, 6, 2]], [[1, 0, 0], [0, 0, 1], [1, 0, 2], [1, 3, 2], [1, 6, 2]], [[1, 0, 0], [0, 3, 1], [1, 0, 2], [1, 3, 2], [1, 6, 2]], [[1, 0, 0], [0, 6, 1], [1, 0, 2], [1, 3, 2], [1, 6, 2]], [[0, 0, 1], [0, 3, 1], [0, 6, 1], [1, 0, 2], [1, 3, 2], [1, 6, 2]]]

[2, 3, 3, 3]
[[[0, 1, 0, 0], [1, 2, 0, 0], [0, 1, 1, 0], [1, 2, 1, 0], [0, 1, 2, 0], [1, 2, 2, 0], [0, 1, 0, 1]], [[0, 1, 0, 0], [1, 2, 0, 0], [0, 1, 1, 0], [1, 2, 1, 0], [0, 1, 2, 0], [1, 2, 2, 0], [0, 1, 1, 1]], [[0, 1, 0, 0], [1, 2, 0, 0], [0, 1, 1, 0], [1, 2, 1, 0], [0, 1, 2, 0], [1, 2, 2, 0], [0, 1, 2, 1]], [[1, 0, 0, 0], [0, 1, 0, 0], [1, 2, 0, 0], [0, 1, 0, 1], [0, 1, 1, 1], [0, 1, 2, 1]], [[1, 0, 0, 0], [1, 2, 1, 0], [0, 1, 2, 0], [0, 1, 0, 1], [0, 1, 1, 1], [0, 1, 2, 1]], [[1, 0, 0, 0], [0, 1, 1, 0], [1, 2, 2, 0], [0, 1, 0, 1], [0, 1, 1, 1], [0, 1, 2, 1]], [[1, 0, 0, 0], [1, 2, 0, 0], [0, 1, 0, 1], [1, 2, 0, 1], [0, 1, 1, 1], [0, 1, 2, 1]], [[1, 0, 0, 0], [1, 2, 1, 0], [0, 1, 0, 1], [1, 2, 0, 1], [0, 1, 1, 1], [0, 1, 2, 1]], [[1, 0, 0, 0], [1, 2, 2, 0], [0, 1, 0, 1], [1, 2, 0, 1], [0, 1, 1, 1], [0, 1, 2, 1]], [[1, 0, 0, 0], [1, 2, 0, 0], [0, 1, 0, 1], [0, 1, 1, 1], [1, 2, 1, 1], [0, 1, 2, 1]], [[1, 0, 0, 0], [1, 2, 1, 0], [0, 1, 0, 1], [0, 1, 1, 1], [1, 2, 1, 1], [0, 1, 2, 1]], [[1, 0, 0, 0], [1, 2, 2, 0], [0, 1, 0, 1], [0, 1, 1, 1], [1, 2, 1, 1], [0, 1, 2, 1]], [[1, 0, 0, 0], [1, 2, 0, 0], [0, 1, 0, 1], [0, 1, 1, 1], [0, 1, 2, 1], [1, 2, 2, 1]], [[1, 0, 0, 0], [1, 2, 1, 0], [0, 1, 0, 1], [0, 1, 1, 1], [0, 1, 2, 1], [1, 2, 2, 1]], [[1, 0, 0, 0], [1, 2, 2, 0], [0, 1, 0, 1], [0, 1, 1, 1], [0, 1, 2, 1], [1, 2, 2, 1]], [[0, 1, 0, 0], [1, 2, 0, 0], [0, 1, 1, 0], [1, 2, 1, 0], [0, 1, 2, 0], [1, 2, 2, 0], [0, 1, 0, 2]], [[1, 0, 0, 0], [0, 1, 0, 0], [1, 2, 1, 0], [0, 1, 2, 0], [0, 1, 0, 1], [0, 1, 0, 2]], [[1, 0, 0, 0], [0, 1, 0, 0], [0, 1, 1, 0], [1, 2, 2, 0], [0, 1, 0, 1], [0, 1, 0, 2]], [[1, 0, 0, 0], [0, 1, 0, 0], [1, 2, 1, 0], [1, 2, 2, 0], [0, 1, 0, 1], [0, 1, 0, 2]], [[1, 0, 0, 0], [0, 1, 0, 0], [0, 1, 1, 0], [0, 1, 2, 0], [1, 2, 0, 1], [0, 1, 0, 2]], [[1, 0, 0, 0], [0, 1, 0, 0], [1, 2, 0, 0], [1, 2, 1, 0], [0, 1, 2, 0], [1, 2, 0, 1], [0, 1, 0, 2]], [[1, 0, 0, 0], [0, 1, 0, 0], [1, 2, 0, 0], [0, 1, 1, 0], [1, 2, 2, 0], [1, 2, 0, 1], [0, 1, 0, 2]], [[1, 0, 0, 0], [0, 1, 0, 0], [1, 2, 0, 0], [1, 2, 1, 0], [1, 2, 2, 0], [1, 2, 0, 1], [0, 1, 0, 2]], [[1, 0, 0, 0], [1, 2, 0, 0], [0, 1, 1, 0], [1, 2, 1, 0], [1, 2, 2, 0], [1, 2, 0, 1], [0, 1, 0, 2]], [[1, 0, 0, 0], [1, 2, 0, 0], [1, 2, 1, 0], [0, 1, 2, 0], [1, 2, 2, 0], [1, 2, 0, 1], [0, 1, 0, 2]], [[1, 0, 0, 0], [0, 1, 1, 0], [1, 2, 1, 0], [0, 1, 2, 0], [1, 2, 2, 0], [1, 2, 0, 1], [0, 1, 0, 2]], [[1, 0, 0, 0], [0, 1, 0, 0], [1, 2, 0, 0], [0, 1, 2, 0], [0, 1, 1, 1], [0, 1, 0, 2]], [[1, 0, 0, 0], [1, 2, 0, 0], [0, 1, 2, 0], [1, 2, 2, 0], [0, 1, 1, 1], [0, 1, 0, 2]], [[1, 0, 0, 0], [0, 1, 1, 0], [0, 1, 2, 0], [1, 2, 2, 0], [0, 1, 1, 1], [0, 1, 0, 2]], [[1, 0, 0, 0], [0, 1, 0, 0], [1, 2, 2, 0], [0, 1, 0, 1], [1, 2, 1, 1], [0, 1, 0, 2]], [[1, 0, 0, 0], [1, 2, 0, 0], [0, 1, 2, 0], [0, 1, 1, 1], [1, 2, 1, 1], [0, 1, 0, 2]], [[1, 0, 0, 0], [0, 1, 0, 0], [1, 2, 0, 0], [0, 1, 1, 0], [0, 1, 2, 1], [0, 1, 0, 2]], [[1, 0, 0, 0], [1, 2, 0, 0], [0, 1, 1, 0], [1, 2, 1, 0], [0, 1, 2, 1], [0, 1, 0, 2]], [[1, 0, 0, 0], [0, 1, 1, 0], [1, 2, 1, 0], [0, 1, 2, 0], [0, 1, 2, 1], [0, 1, 0, 2]], [[1, 0, 0, 0], [0, 1, 0, 1], [1, 2, 0, 1], [0, 1, 1, 1], [0, 1, 2, 1], [0, 1, 0, 2]], [[1, 0, 0, 0], [0, 1, 1, 0], [1, 2, 1, 0], [1, 2, 1, 1], [0, 1, 2, 1], [0, 1, 0, 2]], [[1, 0, 0, 0], [0, 1, 0, 0], [1, 2, 1, 0], [0, 1, 0, 1], [1, 2, 2, 1], [0, 1, 0, 2]], [[1, 0, 0, 0], [0, 1, 2, 0], [1, 2, 2, 0], [0, 1, 1, 1], [1, 2, 2, 1], [0, 1, 0, 2]], [[1, 0, 0, 0], [0, 1, 0, 0], [0, 1, 0, 1], [1, 2, 1, 1], [1, 2, 2, 1], [0, 1, 0, 2]], [[1, 0, 0, 0], [0, 1, 0, 0], [1, 2, 0, 0], [1, 2, 0, 1], [1, 2, 1, 1], [1, 2, 2, 1], [0, 1, 0, 2]], [[1, 0, 0, 0], [1, 2, 1, 0], [0, 1, 2, 0], [1, 2, 0, 1], [1, 2, 1, 1], [1, 2, 2, 1], [0, 1, 0, 2]], [[1, 0, 0, 0], [0, 1, 1, 0], [1, 2, 2, 0], [1, 2, 0, 1], [1, 2, 1, 1], [1, 2, 2, 1], [0, 1, 0, 2]], [[1, 0, 0, 0], [0, 1, 2, 0], [0, 1, 1, 1], [1, 2, 1, 1], [1, 2, 2, 1], [0, 1, 0, 2]], [[1, 0, 0, 0], [1, 2, 0, 0], [0, 1, 1, 0], [0, 1, 2, 1], [1, 2, 2, 1], [0, 1, 0, 2]], [[1, 0, 0, 0], [0, 1, 1, 0], 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0, 2], [0, 1, 2, 2]], [[1, 0, 0, 0], [1, 2, 0, 0], [0, 1, 0, 1], [1, 2, 0, 1], [1, 2, 1, 1], [1, 2, 0, 2], [0, 1, 2, 2]], [[0, 1, 1, 0], [1, 2, 2, 0], [0, 1, 0, 1], [0, 1, 1, 1], [1, 2, 1, 1], [1, 2, 0, 2], [0, 1, 2, 2]], [[1, 0, 0, 0], [0, 1, 2, 0], [1, 2, 2, 0], [0, 1, 2, 1], [1, 2, 0, 2], [0, 1, 2, 2]], [[1, 0, 0, 0], [0, 1, 2, 0], [0, 1, 0, 1], [0, 1, 2, 1], [1, 2, 0, 2], [0, 1, 2, 2]], [[0, 1, 1, 0], [1, 2, 2, 0], [0, 1, 0, 1], [1, 2, 1, 1], [0, 1, 2, 1], [1, 2, 0, 2], [0, 1, 2, 2]], [[1, 0, 0, 0], [1, 2, 1, 0], [0, 1, 2, 0], [1, 2, 1, 1], [1, 2, 2, 1], [1, 2, 0, 2], [0, 1, 2, 2]], [[1, 0, 0, 0], [1, 2, 1, 0], [0, 1, 0, 1], [1, 2, 1, 1], [1, 2, 2, 1], [1, 2, 0, 2], [0, 1, 2, 2]], [[1, 0, 0, 0], [1, 2, 2, 0], [1, 2, 0, 1], [1, 2, 1, 1], [1, 2, 2, 1], [1, 2, 0, 2], [0, 1, 2, 2]], [[1, 0, 0, 0], [0, 1, 0, 1], [1, 2, 0, 1], [1, 2, 1, 1], [1, 2, 2, 1], [1, 2, 0, 2], [0, 1, 2, 2]], [[1, 0, 0, 0], [0, 1, 2, 0], [0, 1, 2, 1], [1, 2, 2, 1], [1, 2, 0, 2], [0, 1, 2, 2]], [[0, 1, 0, 0], [1, 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[1, 2, 1, 2], [0, 1, 2, 2]], [[1, 0, 0, 0], [0, 1, 1, 0], [1, 2, 2, 0], [1, 2, 1, 1], [0, 1, 2, 1], [1, 2, 1, 2], [0, 1, 2, 2]], [[1, 2, 1, 0], [0, 1, 2, 0], [0, 1, 0, 1], [1, 2, 1, 1], [0, 1, 2, 1], [1, 2, 1, 2], [0, 1, 2, 2]], [[1, 0, 0, 0], [1, 2, 2, 0], [1, 2, 0, 1], [1, 2, 1, 1], [0, 1, 2, 1], [1, 2, 1, 2], [0, 1, 2, 2]], [[1, 2, 1, 0], [0, 1, 2, 0], [0, 1, 1, 1], [1, 2, 1, 1], [0, 1, 2, 1], [1, 2, 1, 2], [0, 1, 2, 2]], [[1, 0, 0, 0], [0, 1, 0, 0], [0, 1, 1, 1], [1, 2, 2, 1], [1, 2, 1, 2], [0, 1, 2, 2]], [[1, 0, 0, 0], [0, 1, 0, 0], [1, 2, 0, 0], [1, 2, 1, 1], [1, 2, 2, 1], [1, 2, 1, 2], [0, 1, 2, 2]], [[1, 0, 0, 0], [1, 2, 1, 0], [1, 2, 0, 1], [1, 2, 1, 1], [1, 2, 2, 1], [1, 2, 1, 2], [0, 1, 2, 2]], [[1, 0, 0, 0], [1, 2, 0, 0], [1, 2, 1, 1], [0, 1, 2, 1], [1, 2, 2, 1], [1, 2, 1, 2], [0, 1, 2, 2]], [[1, 0, 0, 0], [1, 2, 0, 1], [1, 2, 1, 1], [0, 1, 2, 1], [1, 2, 2, 1], [1, 2, 1, 2], [0, 1, 2, 2]], [[1, 0, 0, 0], [1, 2, 1, 0], [1, 2, 0, 1], [1, 2, 1, 1], [0, 1, 0, 2], [1, 2, 1, 2], 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[[1, 0, 0, 0], [1, 2, 0, 0], [1, 2, 1, 1], [1, 2, 2, 1], [0, 1, 1, 2], [1, 2, 1, 2], [0, 1, 2, 2]], [[1, 0, 0, 0], [1, 2, 1, 0], [1, 2, 1, 1], [1, 2, 2, 1], [0, 1, 1, 2], [1, 2, 1, 2], [0, 1, 2, 2]], [[0, 1, 0, 0], [1, 2, 0, 0], [0, 1, 2, 1], [1, 2, 2, 1], [0, 1, 1, 2], [1, 2, 1, 2], [0, 1, 2, 2]], [[1, 0, 0, 0], [1, 2, 1, 1], [0, 1, 2, 1], [1, 2, 2, 1], [0, 1, 1, 2], [1, 2, 1, 2], [0, 1, 2, 2]], [[1, 0, 0, 0], [1, 2, 0, 0], [0, 1, 0, 2], [0, 1, 1, 2], [1, 2, 1, 2], [0, 1, 2, 2]], [[1, 0, 0, 0], [1, 2, 1, 0], [0, 1, 0, 2], [0, 1, 1, 2], [1, 2, 1, 2], [0, 1, 2, 2]], [[1, 0, 0, 0], [1, 2, 2, 0], [0, 1, 0, 2], [0, 1, 1, 2], [1, 2, 1, 2], [0, 1, 2, 2]], [[1, 0, 0, 0], [0, 1, 2, 1], [0, 1, 0, 2], [0, 1, 1, 2], [1, 2, 1, 2], [0, 1, 2, 2]], [[1, 0, 0, 0], [0, 1, 0, 0], [0, 1, 1, 0], [0, 1, 2, 0], [1, 2, 0, 1], [1, 2, 2, 2]], [[1, 0, 0, 0], [0, 1, 0, 0], [1, 2, 0, 0], [1, 2, 1, 0], [0, 1, 2, 0], [1, 2, 0, 1], [1, 2, 2, 2]], [[1, 0, 0, 0], [1, 2, 0, 0], [1, 2, 1, 0], [0, 1, 2, 0], [1, 2, 2, 0], [1, 2, 0, 1], [1, 2, 2, 2]], [[1, 0, 0, 0], [0, 1, 1, 0], [1, 2, 1, 0], [0, 1, 2, 0], [1, 2, 2, 0], [1, 2, 0, 1], [1, 2, 2, 2]], [[1, 0, 0, 0], [0, 1, 0, 0], [0, 1, 1, 0], [0, 1, 2, 0], [0, 1, 1, 1], [1, 2, 2, 2]], [[1, 0, 0, 0], [0, 1, 0, 0], [1, 2, 0, 0], [1, 2, 1, 0], [0, 1, 2, 0], [0, 1, 1, 1], [1, 2, 2, 2]], [[1, 0, 0, 0], [0, 1, 0, 0], [1, 2, 0, 0], [0, 1, 1, 0], [1, 2, 2, 0], [0, 1, 1, 1], [1, 2, 2, 2]], [[1, 0, 0, 0], [0, 1, 0, 0], [1, 2, 0, 0], [1, 2, 1, 0], [1, 2, 2, 0], [0, 1, 1, 1], [1, 2, 2, 2]], [[1, 0, 0, 0], [1, 2, 0, 0], [0, 1, 1, 0], [1, 2, 1, 0], [1, 2, 2, 0], [0, 1, 1, 1], [1, 2, 2, 2]], [[1, 0, 0, 0], [1, 2, 0, 0], [1, 2, 1, 0], [0, 1, 2, 0], [1, 2, 2, 0], [0, 1, 1, 1], [1, 2, 2, 2]], [[1, 0, 0, 0], [0, 1, 1, 0], [1, 2, 1, 0], [0, 1, 2, 0], [1, 2, 2, 0], [0, 1, 1, 1], [1, 2, 2, 2]], [[1, 0, 0, 0], [0, 1, 0, 0], [1, 2, 0, 0], [1, 2, 1, 0], [1, 2, 0, 1], [0, 1, 1, 1], [1, 2, 2, 2]], [[1, 0, 0, 0], [0, 1, 1, 0], [1, 2, 1, 0], [1, 2, 2, 0], [1, 2, 0, 1], [0, 1, 1, 1], [1, 2, 2, 2]], [[1, 0, 0, 0], [0, 1, 0, 0], [0, 1, 1, 0], [0, 1, 2, 0], [1, 2, 1, 1], [1, 2, 2, 2]], [[1, 0, 0, 0], [0, 1, 0, 0], [1, 2, 0, 0], [1, 2, 1, 0], [0, 1, 2, 0], [1, 2, 1, 1], [1, 2, 2, 2]], [[1, 0, 0, 0], [0, 1, 0, 0], [1, 2, 0, 0], [0, 1, 1, 0], [1, 2, 2, 0], [1, 2, 1, 1], [1, 2, 2, 2]], [[1, 0, 0, 0], [0, 1, 0, 0], [1, 2, 0, 0], [1, 2, 1, 0], [1, 2, 2, 0], [1, 2, 1, 1], [1, 2, 2, 2]], [[1, 0, 0, 0], [1, 2, 0, 0], [1, 2, 1, 0], [0, 1, 2, 0], [0, 1, 1, 1], [1, 2, 1, 1], [1, 2, 2, 2]], [[1, 0, 0, 0], [1, 2, 0, 0], [0, 1, 1, 0], [1, 2, 2, 0], [0, 1, 1, 1], [1, 2, 1, 1], [1, 2, 2, 2]], [[1, 0, 0, 0], [1, 2, 0, 0], [1, 2, 1, 0], [1, 2, 0, 1], [0, 1, 1, 1], [1, 2, 1, 1], [1, 2, 2, 2]], [[1, 0, 0, 0], [0, 1, 0, 0], [0, 1, 1, 0], [0, 1, 2, 0], [1, 2, 2, 1], [1, 2, 2, 2]], [[1, 0, 0, 0], [0, 1, 0, 0], [1, 2, 0, 0], [0, 1, 1, 0], [1, 2, 2, 0], [1, 2, 2, 1], [1, 2, 2, 2]], [[1, 0, 0, 0], [1, 2, 0, 0], [0, 1, 1, 0], [1, 2, 1, 0], [1, 2, 2, 0], [1, 2, 2, 1], [1, 2, 2, 2]], [[1, 0, 0, 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2], [1, 2, 2, 2]], [[1, 0, 0, 0], [1, 2, 2, 0], [1, 2, 0, 1], [0, 1, 1, 1], [1, 2, 2, 1], [0, 1, 0, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [1, 2, 1, 0], [1, 2, 0, 1], [1, 2, 1, 1], [1, 2, 2, 1], [0, 1, 0, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [1, 2, 0, 1], [0, 1, 1, 1], [1, 2, 1, 1], [1, 2, 2, 1], [0, 1, 0, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [0, 1, 1, 0], [0, 1, 2, 1], [1, 2, 2, 1], [0, 1, 0, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [1, 2, 1, 0], [0, 1, 2, 0], [0, 1, 0, 1], [1, 2, 0, 1], [1, 2, 0, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [0, 1, 0, 0], [1, 2, 0, 0], [0, 1, 0, 1], [0, 1, 1, 1], [1, 2, 0, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [1, 2, 1, 0], [0, 1, 2, 0], [0, 1, 0, 1], [0, 1, 1, 1], [1, 2, 0, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [0, 1, 1, 0], [1, 2, 2, 0], [0, 1, 0, 1], [0, 1, 1, 1], [1, 2, 0, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [0, 1, 0, 0], [1, 2, 0, 0], [1, 2, 0, 1], [0, 1, 1, 1], [1, 2, 0, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [1, 2, 0, 0], [0, 1, 0, 1], [1, 2, 0, 1], [0, 1, 1, 1], [1, 2, 0, 2], [1, 2, 2, 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2, 2]], [[0, 1, 0, 1], [0, 1, 1, 1], [0, 1, 2, 1], [1, 2, 0, 2], [0, 1, 1, 2], [1, 2, 1, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [0, 1, 0, 1], [1, 2, 2, 1], [1, 2, 0, 2], [0, 1, 1, 2], [1, 2, 1, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [0, 1, 1, 1], [1, 2, 2, 1], [1, 2, 0, 2], [0, 1, 1, 2], [1, 2, 1, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [0, 1, 2, 1], [1, 2, 2, 1], [1, 2, 0, 2], [0, 1, 1, 2], [1, 2, 1, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [1, 2, 0, 0], [0, 1, 1, 0], [0, 1, 0, 1], [0, 1, 2, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [0, 1, 1, 0], [0, 1, 0, 1], [0, 1, 1, 1], [0, 1, 2, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [1, 2, 0, 0], [1, 2, 1, 0], [0, 1, 2, 0], [1, 2, 1, 1], [0, 1, 2, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [1, 2, 0, 0], [0, 1, 1, 0], [1, 2, 2, 0], [1, 2, 1, 1], [0, 1, 2, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [1, 2, 1, 0], [0, 1, 2, 0], [1, 2, 0, 1], [1, 2, 1, 1], [0, 1, 2, 2], [1, 2, 2, 2]], [[0, 1, 0, 0], [1, 2, 0, 0], [0, 1, 1, 0], [0, 1, 1, 1], [1, 2, 1, 1], [0, 1, 2, 2], [1, 2, 2, 2]], [[0, 1, 0, 0], [1, 2, 0, 0], [0, 1, 2, 0], [0, 1, 1, 1], [1, 2, 1, 1], [0, 1, 2, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [1, 2, 1, 0], [0, 1, 2, 0], [0, 1, 1, 1], [1, 2, 1, 1], [0, 1, 2, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [0, 1, 1, 0], [1, 2, 2, 0], [0, 1, 1, 1], [1, 2, 1, 1], [0, 1, 2, 2], [1, 2, 2, 2]], [[0, 1, 0, 0], [1, 2, 0, 0], [0, 1, 0, 1], [0, 1, 1, 1], [1, 2, 1, 1], [0, 1, 2, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [1, 2, 1, 0], [1, 2, 0, 1], [0, 1, 1, 1], [1, 2, 1, 1], [0, 1, 2, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [1, 2, 0, 0], [0, 1, 2, 0], [0, 1, 2, 1], [0, 1, 2, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [0, 1, 2, 0], [1, 2, 0, 1], [0, 1, 2, 1], [0, 1, 2, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [0, 1, 2, 0], [0, 1, 1, 1], [0, 1, 2, 1], [0, 1, 2, 2], [1, 2, 2, 2]], [[0, 1, 0, 0], [1, 2, 0, 0], [0, 1, 1, 1], [1, 2, 1, 1], [0, 1, 2, 1], [0, 1, 2, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [0, 1, 1, 0], [0, 1, 0, 1], [1, 2, 2, 1], [0, 1, 2, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [0, 1, 1, 0], [1, 2, 2, 0], [1, 2, 1, 1], [1, 2, 2, 1], [0, 1, 2, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [1, 2, 0, 0], [1, 2, 0, 1], [1, 2, 1, 1], [1, 2, 2, 1], [0, 1, 2, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [1, 2, 2, 0], [0, 1, 1, 1], [1, 2, 1, 1], [1, 2, 2, 1], [0, 1, 2, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [1, 2, 0, 1], [0, 1, 1, 1], [1, 2, 1, 1], [1, 2, 2, 1], [0, 1, 2, 2], [1, 2, 2, 2]], [[1, 2, 1, 0], [0, 1, 2, 0], [1, 2, 0, 1], [0, 1, 1, 1], [0, 1, 0, 2], [0, 1, 2, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [1, 2, 0, 0], [1, 2, 0, 1], [1, 2, 1, 1], [0, 1, 0, 2], [0, 1, 2, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [1, 2, 1, 0], [1, 2, 0, 1], [1, 2, 1, 1], [0, 1, 0, 2], [0, 1, 2, 2], [1, 2, 2, 2]], [[0, 1, 0, 0], [1, 2, 0, 0], [0, 1, 1, 1], [1, 2, 1, 1], [0, 1, 0, 2], [0, 1, 2, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [1, 2, 0, 1], [0, 1, 1, 1], [1, 2, 1, 1], [0, 1, 0, 2], [0, 1, 2, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [1, 2, 0, 0], [1, 2, 2, 0], [1, 2, 1, 1], [1, 2, 0, 2], [0, 1, 2, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [1, 2, 0, 0], [0, 1, 0, 1], [1, 2, 1, 1], [1, 2, 0, 2], [0, 1, 2, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [1, 2, 2, 0], [0, 1, 1, 1], [1, 2, 1, 1], [1, 2, 0, 2], [0, 1, 2, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [0, 1, 0, 1], [0, 1, 1, 1], [1, 2, 1, 1], [1, 2, 0, 2], [0, 1, 2, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [0, 1, 2, 0], [0, 1, 2, 1], [1, 2, 0, 2], [0, 1, 2, 2], [1, 2, 2, 2]], [[0, 1, 0, 0], [1, 2, 0, 0], [0, 1, 1, 1], [1, 2, 1, 1], [0, 1, 1, 2], [0, 1, 2, 2], [1, 2, 2, 2]], [[0, 1, 1, 0], [1, 2, 2, 0], [0, 1, 1, 1], [1, 2, 2, 1], [0, 1, 1, 2], [0, 1, 2, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [1, 2, 0, 0], [1, 2, 1, 1], [1, 2, 2, 1], [0, 1, 1, 2], [0, 1, 2, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [1, 2, 2, 0], [1, 2, 1, 1], [1, 2, 2, 1], [0, 1, 1, 2], [0, 1, 2, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [0, 1, 1, 1], [1, 2, 1, 1], [1, 2, 2, 1], [0, 1, 1, 2], [0, 1, 2, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [1, 2, 0, 0], [0, 1, 0, 2], [0, 1, 1, 2], [0, 1, 2, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [1, 2, 1, 0], [0, 1, 0, 2], [0, 1, 1, 2], [0, 1, 2, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [1, 2, 2, 0], [0, 1, 0, 2], [0, 1, 1, 2], [0, 1, 2, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [0, 1, 1, 1], [0, 1, 0, 2], [0, 1, 1, 2], [0, 1, 2, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [0, 1, 1, 0], [0, 1, 0, 1], [1, 2, 1, 2], [0, 1, 2, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [1, 2, 0, 0], [1, 2, 1, 0], [1, 2, 1, 1], [1, 2, 1, 2], [0, 1, 2, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [1, 2, 1, 0], [0, 1, 1, 1], [1, 2, 1, 1], [1, 2, 1, 2], [0, 1, 2, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [1, 2, 0, 0], [1, 2, 1, 1], [0, 1, 2, 1], [1, 2, 1, 2], [0, 1, 2, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [0, 1, 1, 1], [1, 2, 1, 1], [0, 1, 2, 1], [1, 2, 1, 2], [0, 1, 2, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [0, 1, 0, 1], [1, 2, 1, 1], [1, 2, 0, 2], [1, 2, 1, 2], [0, 1, 2, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [0, 1, 1, 1], [1, 2, 1, 1], [1, 2, 0, 2], [1, 2, 1, 2], [0, 1, 2, 2], [1, 2, 2, 2]], [[0, 1, 0, 1], [0, 1, 1, 1], [0, 1, 2, 1], [1, 2, 0, 2], [1, 2, 1, 2], [0, 1, 2, 2], [1, 2, 2, 2]], [[1, 0, 0, 0], [1, 2, 1, 1], [0, 1, 2, 1], [1, 2, 0, 2], [1, 2, 1, 2], [0, 1, 2, 2], [1, 2, 2, 2]]]

[8, 7]
[[[1, 0], [2, 0], [4, 0], [0, 1], [7, 1], [6, 2], [4, 4]]]

[4, 2, 7]
[[[1, 0, 0], [2, 0, 0], [1, 1, 0], [2, 1, 0], [0, 0, 1], [2, 0, 4], [2, 1, 4]], [[1, 0, 0], [2, 0, 0], [2, 1, 0], [0, 0, 1], [3, 0, 2], [2, 0, 4], [2, 1, 4]], [[2, 0, 0], [1, 1, 0], [2, 1, 0], [0, 0, 1], [3, 1, 2], [2, 0, 4], [2, 1, 4]], [[1, 0, 0], [2, 0, 0], [1, 1, 0], [2, 1, 0], [3, 0, 2], [3, 1, 2], [2, 0, 4], [2, 1, 4]], [[1, 0, 0], [2, 0, 0], [1, 1, 0], [0, 0, 1], [3, 0, 2], [3, 1, 2], [2, 0, 4], [2, 1, 4]], [[2, 0, 0], [2, 1, 0], [0, 0, 1], [3, 0, 2], [3, 1, 2], [2, 0, 4], [2, 1, 4]], [[0, 1, 0], [2, 1, 0], [0, 0, 1], [0, 1, 4], [2, 1, 4]]]

[2, 2, 2, 7]
[[[1, 0, 0, 0], [1, 1, 0, 0], [1, 0, 1, 0], [0, 0, 0, 1], [1, 0, 0, 4], [1, 1, 0, 4]], [[1, 0, 0, 0], [1, 1, 0, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 0, 0, 4], [1, 1, 0, 4]], [[1, 0, 0, 0], [1, 1, 0, 0], [1, 0, 1, 0], [0, 0, 0, 1], [1, 0, 0, 4], [1, 0, 1, 4]], [[1, 0, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 0, 0, 4], [1, 0, 1, 4]], [[1, 0, 0, 0], [1, 1, 0, 0], [1, 0, 1, 0], [0, 0, 0, 1], [1, 1, 0, 4], [1, 0, 1, 4]], [[1, 1, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 1, 0, 4], [1, 0, 1, 4]], [[1, 0, 0, 0], [1, 1, 0, 0], [0, 0, 0, 1], [1, 0, 0, 4], [1, 1, 0, 4], [1, 0, 1, 4]], [[1, 0, 0, 0], [1, 0, 1, 0], [0, 0, 0, 1], [1, 0, 0, 4], [1, 1, 0, 4], [1, 0, 1, 4]], [[1, 1, 0, 0], [1, 0, 1, 0], [0, 0, 0, 1], [1, 0, 0, 4], [1, 1, 0, 4], [1, 0, 1, 4]], [[1, 0, 0, 0], [1, 1, 0, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 0, 0, 4], [1, 1, 1, 4]], [[1, 0, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 0, 0, 4], [1, 1, 1, 4]], [[1, 0, 0, 0], [1, 1, 0, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 1, 0, 4], [1, 1, 1, 4]], [[1, 1, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 1, 0, 4], [1, 1, 1, 4]], [[1, 0, 0, 0], [1, 1, 0, 0], [0, 0, 0, 1], [1, 0, 0, 4], [1, 1, 0, 4], [1, 1, 1, 4]], [[1, 0, 0, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 0, 0, 4], [1, 1, 0, 4], [1, 1, 1, 4]], [[1, 1, 0, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 0, 0, 4], [1, 1, 0, 4], [1, 1, 1, 4]], [[1, 0, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 0, 1, 4], [1, 1, 1, 4]], [[1, 1, 0, 0], [1, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 0, 1, 4], [1, 1, 1, 4]], [[1, 0, 0, 0], [1, 0, 1, 0], [0, 0, 0, 1], [1, 0, 0, 4], [1, 0, 1, 4], [1, 1, 1, 4]], [[1, 0, 0, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 0, 0, 4], [1, 0, 1, 4], [1, 1, 1, 4]], [[1, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 0, 0, 4], [1, 0, 1, 4], [1, 1, 1, 4]], [[1, 1, 0, 0], [1, 0, 1, 0], [0, 0, 0, 1], [1, 1, 0, 4], [1, 0, 1, 4], [1, 1, 1, 4]], [[1, 1, 0, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 1, 0, 4], [1, 0, 1, 4], [1, 1, 1, 4]], [[1, 0, 1, 0], [1, 1, 1, 0], [0, 0, 0, 1], [1, 1, 0, 4], [1, 0, 1, 4], [1, 1, 1, 4]], [[1, 0, 0, 0], [0, 0, 0, 1], [1, 0, 0, 4], [1, 1, 0, 4], [1, 0, 1, 4], [1, 1, 1, 4]], [[1, 1, 0, 0], [0, 0, 0, 1], [1, 0, 0, 4], [1, 1, 0, 4], [1, 0, 1, 4], [1, 1, 1, 4]], [[1, 0, 1, 0], [0, 0, 0, 1], [1, 0, 0, 4], [1, 1, 0, 4], [1, 0, 1, 4], [1, 1, 1, 4]], [[1, 1, 1, 0], [0, 0, 0, 1], [1, 0, 0, 4], [1, 1, 0, 4], [1, 0, 1, 4], [1, 1, 1, 4]]]

[4, 3, 5]
[[[1, 0, 0], [2, 0, 0], [0, 1, 0], [3, 1, 0], [2, 2, 0], [0, 0, 1], [0, 2, 2], [2, 0, 3], [1, 0, 4]], [[1, 0, 0], [0, 1, 0], [3, 1, 0], [2, 2, 0], [0, 0, 1], [0, 2, 2], [2, 0, 3], [3, 2, 3], [1, 0, 4]], [[1, 0, 0], [2, 0, 0], [0, 1, 0], [3, 1, 0], [2, 2, 0], [2, 1, 1], [0, 2, 2], [2, 0, 3], [3, 2, 3], [1, 0, 4]], [[1, 0, 0], [2, 0, 0], [3, 1, 0], [2, 2, 0], [0, 0, 1], [2, 1, 1], [0, 2, 2], [2, 0, 3], [3, 2, 3], [1, 0, 4]], [[0, 1, 0], [3, 1, 0], [2, 2, 0], [0, 0, 1], [2, 1, 1], [0, 2, 2], [2, 0, 3], [3, 2, 3], [1, 0, 4]]]

[2, 2, 3, 5]
[[[1, 0, 0, 0], [1, 1, 0, 0], [0, 0, 1, 0], [1, 0, 2, 0], [1, 1, 2, 0], [1, 0, 1, 1], [1, 1, 1, 1], [0, 0, 2, 2]], [[1, 0, 0, 0], [1, 1, 0, 0], [0, 0, 1, 0], [1, 0, 2, 0], [1, 1, 2, 0], [1, 0, 1, 1], [0, 0, 2, 2], [1, 0, 0, 3]], [[1, 0, 0, 0], [0, 0, 1, 0], [1, 0, 2, 0], [1, 1, 2, 0], [1, 0, 1, 1], [1, 1, 1, 1], [0, 0, 2, 2], [1, 0, 0, 3]], [[1, 0, 0, 0], [1, 1, 0, 0], [0, 0, 1, 0], [1, 0, 2, 0], [1, 1, 2, 0], [1, 1, 1, 1], [0, 0, 2, 2], [1, 1, 0, 3]], [[1, 1, 0, 0], [0, 0, 1, 0], [1, 0, 2, 0], [1, 1, 2, 0], [1, 0, 1, 1], [1, 1, 1, 1], [0, 0, 2, 2], [1, 1, 0, 3]], [[1, 0, 0, 0], [1, 1, 0, 0], [0, 0, 1, 0], [1, 0, 2, 0], [1, 1, 2, 0], [0, 0, 0, 1], [1, 0, 0, 3], [1, 1, 0, 3]], [[1, 0, 0, 0], [1, 1, 0, 0], [0, 0, 1, 0], [1, 0, 2, 0], [1, 1, 2, 0], [0, 0, 2, 2], [1, 0, 0, 3], [1, 1, 0, 3]], [[1, 0, 0, 0], [1, 1, 0, 0], [0, 0, 1, 0], [1, 0, 2, 0], [0, 0, 0, 1], [0, 0, 2, 2], [1, 0, 0, 3], [1, 1, 0, 3]], [[1, 0, 0, 0], [1, 1, 0, 0], [0, 0, 1, 0], [1, 1, 2, 0], [0, 0, 0, 1], [0, 0, 2, 2], [1, 0, 0, 3], [1, 1, 0, 3]], [[1, 0, 0, 0], [1, 1, 0, 0], [1, 0, 2, 0], [0, 0, 0, 1], [1, 0, 1, 1], [0, 0, 2, 2], [1, 0, 0, 3], [1, 1, 0, 3]], [[1, 1, 0, 0], [0, 0, 1, 0], [1, 0, 2, 0], [1, 1, 2, 0], [0, 0, 0, 1], [1, 0, 1, 1], [0, 0, 2, 2], [1, 0, 0, 3], [1, 1, 0, 3]], [[1, 0, 0, 0], [1, 1, 0, 0], [1, 1, 2, 0], [0, 0, 0, 1], [1, 1, 1, 1], [0, 0, 2, 2], [1, 0, 0, 3], [1, 1, 0, 3]], [[1, 0, 0, 0], [0, 0, 1, 0], [1, 0, 2, 0], [1, 1, 2, 0], [0, 0, 0, 1], [1, 1, 1, 1], [0, 0, 2, 2], [1, 0, 0, 3], [1, 1, 0, 3]], [[1, 0, 0, 0], [1, 1, 0, 0], [1, 0, 2, 0], [1, 1, 2, 0], [1, 0, 1, 1], [1, 1, 1, 1], [0, 0, 2, 2], [1, 0, 0, 3], [1, 1, 0, 3]], [[1, 0, 0, 0], [1, 1, 0, 0], [0, 0, 0, 1], [1, 0, 1, 1], [1, 1, 1, 1], [0, 0, 2, 2], [1, 0, 0, 3], [1, 1, 0, 3]], [[1, 0, 0, 0], [1, 0, 2, 0], [0, 0, 0, 1], [1, 0, 1, 1], [1, 1, 1, 1], [0, 0, 2, 2], [1, 0, 0, 3], [1, 1, 0, 3]], [[1, 1, 0, 0], [1, 1, 2, 0], [0, 0, 0, 1], [1, 0, 1, 1], [1, 1, 1, 1], [0, 0, 2, 2], [1, 0, 0, 3], [1, 1, 0, 3]], [[0, 0, 1, 0], [1, 0, 2, 0], [1, 1, 2, 0], [0, 0, 0, 1], [1, 0, 1, 1], [1, 1, 1, 1], [0, 0, 2, 2], [1, 0, 0, 3], [1, 1, 0, 3]]]

[9, 7]
[[[1, 0], [3, 0], [0, 1], [4, 4], [3, 5]]]

[3, 3, 7]
[[[1, 0, 0], [1, 1, 0], [1, 2, 0], [0, 0, 1], [1, 0, 5], [1, 1, 5], [1, 2, 5]]]

[32, 2]
[[[1, 0], [2, 0], [4, 0], [8, 0], [16, 0], [1, 1], [2, 1], [4, 1], [8, 1], [16, 1]], [[0, 1], [16, 1]]]

[16, 4]
[[[1, 0], [2, 0], [4, 0], [8, 0], [1, 1], [2, 1], [4, 1], [1, 2], [2, 2], [4, 2], [8, 2], [1, 3], [2, 3], [4, 3]], [[0, 1], [4, 1], [8, 1], [12, 1], [0, 2], [8, 2]]]

[16, 2, 2]
[[[1, 0, 0], [2, 0, 0], [4, 0, 0], [8, 0, 0], [1, 1, 0], [2, 1, 0], [4, 1, 0], [8, 1, 0], [8, 0, 1]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [8, 0, 0], [8, 1, 0], [1, 0, 1], [2, 0, 1], [4, 0, 1], [8, 0, 1]], [[2, 0, 0], [4, 0, 0], [8, 0, 0], [2, 1, 0], [4, 1, 0], [8, 1, 0], [1, 0, 1], [8, 0, 1], [1, 1, 1]], [[2, 0, 0], [4, 0, 0], [8, 0, 0], [1, 1, 0], [8, 1, 0], [2, 0, 1], [4, 0, 1], [8, 0, 1], [1, 1, 1]], [[4, 0, 0], [8, 0, 0], [4, 1, 0], [8, 1, 0], [2, 0, 1], [8, 0, 1], [2, 1, 1]], [[4, 0, 0], [8, 0, 0], [2, 1, 0], [8, 1, 0], [4, 0, 1], [8, 0, 1], [2, 1, 1]], [[8, 0, 0], [4, 1, 0], [8, 1, 0], [8, 0, 1], [4, 1, 1]], [[8, 0, 0], [8, 1, 0], [4, 0, 1], [8, 0, 1], [4, 1, 1]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [8, 0, 0], [1, 1, 0], [2, 1, 0], [4, 1, 0], [8, 1, 0], [1, 0, 1], [2, 0, 1], [4, 0, 1], [1, 1, 1], [2, 1, 1], [4, 1, 1]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [8, 0, 0], [1, 1, 0], [2, 1, 0], [4, 1, 0], [1, 0, 1], [2, 0, 1], [4, 0, 1], [8, 0, 1], [1, 1, 1], [2, 1, 1], [4, 1, 1]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [8, 0, 0], [1, 1, 0], [2, 1, 0], [4, 1, 0], [8, 1, 0], [8, 1, 1]], [[8, 0, 0], [4, 1, 0], [8, 1, 0], [4, 0, 1], [8, 1, 1]], [[8, 1, 0], [8, 0, 1], [8, 1, 1]], [[8, 0, 0], [4, 1, 0], [4, 0, 1], [8, 0, 1], [8, 1, 1]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [8, 0, 0], [1, 0, 1], [2, 0, 1], [4, 0, 1], [8, 0, 1], [8, 1, 1]], [[2, 0, 0], [4, 0, 0], [8, 0, 0], [2, 1, 0], [4, 1, 0], [8, 1, 0], [1, 0, 1], [1, 1, 1], [8, 1, 1]], [[2, 0, 0], [4, 0, 0], [8, 0, 0], [1, 1, 0], [2, 0, 1], [4, 0, 1], [8, 0, 1], [1, 1, 1], [8, 1, 1]], [[4, 0, 0], [8, 0, 0], [4, 1, 0], [8, 1, 0], [2, 0, 1], [2, 1, 1], [8, 1, 1]], [[4, 0, 0], [8, 0, 0], [2, 1, 0], [4, 0, 1], [8, 0, 1], [2, 1, 1], [8, 1, 1]], [[4, 0, 0], [8, 0, 0], [2, 1, 0], [8, 1, 0], [2, 0, 1], [4, 1, 1], [8, 1, 1]], [[8, 0, 0], [8, 1, 0], [4, 0, 1], [4, 1, 1], [8, 1, 1]], [[8, 0, 0], [4, 1, 0], [8, 0, 1], [4, 1, 1], [8, 1, 1]], [[4, 0, 0], [8, 0, 0], [2, 1, 0], [2, 0, 1], [8, 0, 1], [4, 1, 1], [8, 1, 1]], [[2, 0, 0], [4, 0, 0], [8, 0, 0], [1, 1, 0], [8, 1, 0], [1, 0, 1], [2, 1, 1], [4, 1, 1], [8, 1, 1]], [[2, 0, 0], [4, 0, 0], [8, 0, 0], [1, 1, 0], [1, 0, 1], [8, 0, 1], [2, 1, 1], [4, 1, 1], [8, 1, 1]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [8, 0, 0], [8, 1, 0], [1, 1, 1], [2, 1, 1], [4, 1, 1], [8, 1, 1]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [8, 0, 0], [1, 1, 0], [2, 1, 0], [4, 1, 0], [1, 0, 1], [2, 0, 1], [4, 0, 1], [1, 1, 1], [2, 1, 1], [4, 1, 1], [8, 1, 1]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [8, 0, 0], [8, 0, 1], [1, 1, 1], [2, 1, 1], [4, 1, 1], [8, 1, 1]], [[0, 1, 0], [8, 1, 0], [0, 1, 1]], [[0, 1, 0], [8, 1, 0], [8, 1, 1]], [[0, 1, 0], [0, 1, 1], [8, 1, 1]], [[8, 1, 0], [0, 1, 1], [8, 1, 1]]]

[8, 8]
[[[1, 0], [2, 0], [4, 0], [1, 1], [1, 2], [2, 2], [1, 3], [1, 4], [2, 4], [4, 4], [1, 5], [1, 6], [2, 6], [1, 7]]]

[8, 4, 2]
[[[1, 0, 0], [2, 0, 0], [4, 0, 0], [1, 1, 0], [2, 1, 0], [1, 2, 0], [2, 2, 0], [4, 2, 0], [1, 3, 0], [2, 3, 0], [4, 0, 1]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [2, 1, 0], [1, 3, 0], [1, 0, 1], [4, 0, 1]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [1, 1, 0], [2, 3, 0], [1, 0, 1], [4, 0, 1]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [2, 1, 0], [4, 2, 0], [2, 3, 0], [1, 0, 1], [2, 0, 1], [4, 0, 1]], [[4, 0, 0], [1, 1, 0], [2, 1, 0], [1, 2, 0], [2, 2, 0], [4, 0, 1], [1, 1, 1]], [[1, 0, 0], [4, 0, 0], [1, 1, 0], [2, 2, 0], [2, 3, 0], [4, 0, 1], [1, 1, 1]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [2, 3, 0], [1, 0, 1], [4, 0, 1], [1, 1, 1]], [[1, 0, 0], [4, 0, 0], [1, 1, 0], [2, 3, 0], [1, 0, 1], [4, 0, 1], [1, 1, 1]], [[4, 0, 0], [1, 1, 0], [2, 2, 0], [2, 3, 0], [1, 0, 1], [4, 0, 1], [1, 1, 1]], [[2, 0, 0], [4, 0, 0], [1, 1, 0], [2, 1, 0], [1, 2, 0], [4, 2, 0], [1, 3, 0], [1, 0, 1], [2, 1, 1]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [1, 1, 0], [4, 2, 0], [1, 3, 0], [2, 3, 0], [1, 0, 1], [2, 1, 1]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [1, 2, 0], [2, 2, 0], [4, 2, 0], [2, 3, 0], [4, 0, 1], [2, 1, 1]], [[2, 0, 0], [4, 0, 0], [1, 1, 0], [1, 2, 0], [2, 2, 0], [4, 2, 0], [2, 3, 0], [4, 0, 1], [2, 1, 1]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [2, 2, 0], [4, 2, 0], [1, 3, 0], [2, 3, 0], [4, 0, 1], [2, 1, 1]], [[2, 0, 0], [4, 0, 0], [1, 1, 0], [2, 2, 0], [4, 2, 0], [1, 3, 0], [2, 3, 0], [4, 0, 1], [2, 1, 1]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [1, 3, 0], [1, 0, 1], [4, 0, 1], [2, 1, 1]], [[2, 0, 0], [4, 0, 0], [1, 1, 0], [2, 2, 0], [4, 2, 0], [2, 3, 0], [1, 0, 1], [4, 0, 1], [2, 1, 1]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [4, 2, 0], [2, 3, 0], [1, 0, 1], [2, 0, 1], [4, 0, 1], [2, 1, 1]], [[1, 0, 0], [4, 0, 0], [2, 1, 0], [1, 2, 0], [2, 2, 0], [4, 2, 0], [1, 3, 0], [1, 1, 1], [2, 1, 1]], [[1, 0, 0], [4, 0, 0], [1, 1, 0], [1, 2, 0], [2, 2, 0], [4, 2, 0], [2, 3, 0], [1, 1, 1], [2, 1, 1]], [[4, 0, 0], [2, 1, 0], [1, 2, 0], [4, 2, 0], [1, 3, 0], [1, 0, 1], [1, 1, 1], [2, 1, 1]], [[1, 0, 0], [4, 0, 0], [1, 1, 0], [4, 2, 0], [2, 3, 0], [1, 0, 1], [1, 1, 1], [2, 1, 1]], [[4, 0, 0], [1, 1, 0], [1, 2, 0], [2, 2, 0], [4, 0, 1], [1, 1, 1], [2, 1, 1]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [2, 2, 0], [4, 2, 0], [2, 3, 0], [4, 0, 1], [1, 1, 1], [2, 1, 1]], [[2, 0, 0], [4, 0, 0], [1, 1, 0], [2, 1, 0], [1, 2, 0], [4, 0, 1], [1, 2, 1]], [[2, 0, 0], [4, 0, 0], [1, 2, 0], [1, 3, 0], [2, 3, 0], [4, 0, 1], [1, 2, 1]], [[2, 0, 0], [4, 0, 0], [2, 1, 0], [1, 2, 0], [4, 2, 0], [2, 3, 0], [2, 0, 1], [4, 0, 1], [1, 2, 1]], [[2, 0, 0], [4, 0, 0], [2, 1, 0], [1, 2, 0], [4, 0, 1], [1, 1, 1], [1, 2, 1]], [[4, 0, 0], [1, 1, 0], [2, 1, 0], [1, 2, 0], [4, 0, 1], [1, 1, 1], [1, 2, 1]], [[4, 0, 0], [1, 1, 0], [2, 1, 0], [2, 2, 0], [4, 0, 1], [1, 1, 1], [1, 2, 1]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [1, 1, 0], [2, 1, 0], [4, 2, 0], [1, 3, 0], [2, 1, 1], [1, 2, 1]], [[2, 0, 0], [4, 0, 0], [1, 1, 0], [1, 2, 0], [4, 2, 0], [1, 3, 0], [2, 3, 0], [2, 1, 1], [1, 2, 1]], [[2, 0, 0], [4, 0, 0], [1, 1, 0], [1, 2, 0], [4, 0, 1], [2, 1, 1], [1, 2, 1]], [[2, 0, 0], [4, 0, 0], [2, 2, 0], [4, 2, 0], [1, 3, 0], [2, 3, 0], [4, 0, 1], [2, 1, 1], [1, 2, 1]], [[2, 0, 0], [4, 0, 0], [2, 2, 0], [4, 2, 0], [2, 3, 0], [1, 0, 1], [4, 0, 1], [2, 1, 1], [1, 2, 1]], [[2, 0, 0], [4, 0, 0], [1, 2, 0], [4, 2, 0], [2, 3, 0], [2, 0, 1], [4, 0, 1], [2, 1, 1], [1, 2, 1]], [[1, 0, 0], [4, 0, 0], [2, 1, 0], [4, 2, 0], [1, 3, 0], [1, 1, 1], [2, 1, 1], [1, 2, 1]], [[4, 0, 0], [1, 1, 0], [1, 2, 0], [4, 2, 0], [2, 3, 0], [1, 1, 1], [2, 1, 1], [1, 2, 1]], [[4, 0, 0], [2, 1, 0], [2, 2, 0], [4, 2, 0], [1, 3, 0], [1, 0, 1], [1, 1, 1], [2, 1, 1], [1, 2, 1]], [[4, 0, 0], [1, 1, 0], [2, 2, 0], [4, 2, 0], [2, 3, 0], [1, 0, 1], [1, 1, 1], [2, 1, 1], [1, 2, 1]], [[2, 0, 0], [4, 0, 0], [1, 2, 0], [4, 0, 1], [1, 1, 1], [2, 1, 1], [1, 2, 1]], [[4, 0, 0], [1, 1, 0], [1, 2, 0], [4, 0, 1], [1, 1, 1], [2, 1, 1], [1, 2, 1]], [[4, 0, 0], [1, 1, 0], [2, 2, 0], [4, 0, 1], [1, 1, 1], [2, 1, 1], [1, 2, 1]], [[2, 0, 0], [4, 0, 0], [2, 2, 0], [4, 2, 0], [2, 3, 0], [4, 0, 1], [1, 1, 1], [2, 1, 1], [1, 2, 1]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [1, 1, 0], [2, 1, 0], [1, 2, 0], [2, 2, 0], [4, 2, 0], [1, 3, 0], [2, 3, 0], [2, 0, 1], [2, 2, 1]], [[4, 0, 0], [2, 1, 0], [4, 2, 0], [2, 3, 0], [2, 0, 1], [4, 0, 1], [2, 2, 1]], [[4, 0, 0], [1, 1, 0], [2, 1, 0], [2, 2, 0], [4, 2, 0], [2, 3, 0], [4, 0, 1], [1, 1, 1], [2, 2, 1]], [[4, 0, 0], [4, 2, 0], [2, 3, 0], [2, 0, 1], [4, 0, 1], [2, 1, 1], [2, 2, 1]], [[4, 0, 0], [1, 1, 0], [2, 2, 0], [4, 2, 0], [2, 3, 0], [4, 0, 1], [1, 1, 1], [2, 1, 1], [2, 2, 1]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [2, 1, 0], [1, 2, 0], [2, 2, 0], [4, 2, 0], [2, 3, 0], [1, 0, 1], [2, 0, 1], [1, 2, 1], [2, 2, 1]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [1, 1, 0], [2, 1, 0], [1, 2, 0], [2, 2, 0], [4, 2, 0], [1, 3, 0], [2, 3, 0], [4, 2, 1]], [[2, 0, 0], [4, 0, 0], [1, 1, 0], [2, 1, 0], [1, 2, 0], [1, 0, 1], [4, 2, 1]], [[2, 0, 0], [4, 0, 0], [1, 2, 0], [1, 3, 0], [2, 3, 0], [1, 0, 1], [4, 2, 1]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [1, 0, 1], [2, 0, 1], [4, 0, 1], [4, 2, 1]], [[1, 0, 0], [4, 0, 0], [2, 1, 0], [2, 2, 0], [1, 3, 0], [1, 1, 1], [4, 2, 1]], [[4, 0, 0], [1, 2, 0], [2, 2, 0], [1, 3, 0], [2, 3, 0], [1, 1, 1], [4, 2, 1]], [[2, 0, 0], [4, 0, 0], [1, 2, 0], [2, 3, 0], [1, 0, 1], [1, 1, 1], [4, 2, 1]], [[4, 0, 0], [1, 2, 0], [1, 3, 0], [2, 3, 0], [1, 0, 1], [1, 1, 1], [4, 2, 1]], [[4, 0, 0], [2, 2, 0], [1, 3, 0], [2, 3, 0], [1, 0, 1], [1, 1, 1], [4, 2, 1]], [[4, 0, 0], [2, 1, 0], [2, 2, 0], [4, 2, 0], [1, 3, 0], [2, 3, 0], [2, 0, 1], [1, 1, 1], [4, 2, 1]], [[4, 0, 0], [2, 2, 0], [1, 3, 0], [2, 0, 1], [4, 0, 1], [1, 1, 1], [4, 2, 1]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [1, 1, 0], [2, 1, 0], [2, 2, 0], [4, 2, 0], [2, 1, 1], [4, 2, 1]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [2, 1, 0], [1, 2, 0], [2, 2, 0], [4, 2, 0], [2, 1, 1], [4, 2, 1]], [[2, 0, 0], [4, 0, 0], [1, 1, 0], [2, 1, 0], [2, 2, 0], [4, 2, 0], [1, 3, 0], [2, 1, 1], [4, 2, 1]], [[2, 0, 0], [4, 0, 0], [2, 1, 0], [1, 2, 0], [2, 2, 0], [4, 2, 0], [1, 3, 0], [2, 1, 1], [4, 2, 1]], [[2, 0, 0], [4, 0, 0], [1, 1, 0], [2, 1, 0], [2, 2, 0], [4, 2, 0], [1, 0, 1], [2, 1, 1], [4, 2, 1]], [[2, 0, 0], [4, 0, 0], [1, 2, 0], [1, 3, 0], [1, 0, 1], [2, 1, 1], [4, 2, 1]], [[2, 1, 0], [4, 2, 0], [4, 0, 1], [2, 1, 1], [4, 2, 1]], [[4, 2, 0], [2, 3, 0], [4, 0, 1], [2, 1, 1], [4, 2, 1]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [2, 1, 0], [2, 2, 0], [4, 2, 0], [1, 1, 1], [2, 1, 1], [4, 2, 1]], [[4, 0, 0], [1, 2, 0], [2, 2, 0], [1, 3, 0], [1, 1, 1], [2, 1, 1], [4, 2, 1]], [[2, 0, 0], [4, 0, 0], [1, 2, 0], [1, 0, 1], [1, 1, 1], [2, 1, 1], [4, 2, 1]], [[2, 0, 0], [4, 0, 0], [2, 1, 0], [2, 2, 0], [4, 2, 0], [1, 0, 1], [1, 1, 1], [2, 1, 1], [4, 2, 1]], [[4, 0, 0], [1, 2, 0], [1, 3, 0], [1, 0, 1], [1, 1, 1], [2, 1, 1], [4, 2, 1]], [[4, 0, 0], [2, 2, 0], [1, 3, 0], [1, 0, 1], [1, 1, 1], [2, 1, 1], [4, 2, 1]], [[4, 0, 0], [2, 1, 0], [2, 2, 0], [4, 2, 0], [1, 3, 0], [2, 0, 1], [1, 1, 1], [2, 1, 1], [4, 2, 1]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [2, 1, 0], [1, 3, 0], [1, 2, 1], [4, 2, 1]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [1, 1, 0], [2, 3, 0], [1, 2, 1], [4, 2, 1]], [[2, 0, 0], [4, 0, 0], [1, 2, 0], [2, 0, 1], [4, 0, 1], [1, 2, 1], [4, 2, 1]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [2, 1, 0], [1, 1, 1], [1, 2, 1], [4, 2, 1]], [[1, 0, 0], [4, 0, 0], [2, 1, 0], [1, 3, 0], [1, 1, 1], [1, 2, 1], [4, 2, 1]], [[4, 0, 0], [2, 1, 0], [2, 2, 0], [1, 3, 0], [1, 1, 1], [1, 2, 1], [4, 2, 1]], [[1, 0, 0], [2, 0, 0], [4, 0, 0], [1, 1, 0], [2, 1, 1], [1, 2, 1], [4, 2, 1]], [[2, 0, 0], [4, 0, 0], [2, 1, 0], [2, 2, 0], [4, 2, 0], [1, 3, 0], [2, 1, 1], [1, 2, 1], [4, 2, 1]], [[2, 0, 0], [4, 0, 0], [2, 1, 0], [2, 2, 0], [4, 2, 0], [1, 0, 1], [2, 1, 1], [1, 2, 1], [4, 2, 1]], [[2, 0, 0], [4, 0, 0], [2, 1, 0], [1, 2, 0], [4, 2, 0], [2, 3, 0], [1, 0, 1], [2, 2, 1], [4, 2, 1]], [[4, 0, 0], [2, 1, 0], [4, 2, 0], [2, 3, 0], [2, 0, 1], [2, 2, 1], [4, 2, 1]], [[2, 0, 0], [4, 0, 0], [1, 2, 0], [1, 0, 1], [4, 0, 1], [2, 2, 1], [4, 2, 1]], [[4, 0, 0], [1, 1, 0], [2, 2, 0], [4, 0, 1], [1, 1, 1], [2, 2, 1], [4, 2, 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