- FindStat

Identifier

Mp00007: Alternating sign matrices —to Dyck path⟶ Dyck paths
Mp00027: Dyck paths —to partition⟶ Integer partitions
Mp00202: Integer partitions —first row removal⟶ Integer partitions
St000681: Integer partitions ⟶ ℤ

Values

[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]] => [1,0,1,0,1,0,1,0] => [3,2,1] => [2,1] => 0

[[0,1,0,0],[1,0,0,0],[0,0,1,0],[0,0,0,1]] => [1,1,0,0,1,0,1,0] => [3,2] => [2] => 1

[[1,0,0,0],[0,0,1,0],[0,1,0,0],[0,0,0,1]] => [1,0,1,1,0,0,1,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0],[0,1,0,0],[0,0,0,1],[0,0,1,0]] => [1,0,1,0,1,1,0,0] => [2,2,1] => [2,1] => 0

[[0,1,0,0],[1,0,0,0],[0,0,0,1],[0,0,1,0]] => [1,1,0,0,1,1,0,0] => [2,2] => [2] => 1

[[1,0,0,0],[0,0,1,0],[0,1,-1,1],[0,0,1,0]] => [1,0,1,1,0,1,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0],[0,0,0,1],[0,1,0,0],[0,0,1,0]] => [1,0,1,1,1,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0],[0,0,1,0],[0,0,0,1],[0,1,0,0]] => [1,0,1,1,0,1,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0],[0,0,0,1],[0,0,1,0],[0,1,0,0]] => [1,0,1,1,1,0,0,0] => [1,1,1] => [1,1] => 1

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

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

[[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1]] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => [3,1,1] => 0

[[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1]] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => [3,1] => 3

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

[[0,1,0,0,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1]] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => [3,1] => 3

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

[[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1]] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => [2,2,1] => 0

[[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1]] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => [2,2] => 2

[[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[0,0,0,0,1]] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => [2,1,1] => 3

[[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[0,0,0,0,1]] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => [2,1] => 0

[[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,1,0],[0,0,1,0,0],[0,0,0,0,1]] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => [2] => 1

[[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,0,0,0,1]] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => [2,1] => 0

[[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,0,0,0,1]] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => [2] => 1

[[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1]] => [1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => [1,1,1] => 2

[[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1]] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1]] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => [1,1] => 1

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

[[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1]] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => [2,1] => 0

[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1]] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => [2] => 1

[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,0,0,1]] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => [2,1] => 0

[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,0,0,1]] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => [2] => 1

[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1]] => [1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => [1,1,1] => 2

[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1]] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,0,1]] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,0,0,1]] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => [2,1] => 0

[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,0,0,1]] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => [2] => 1

[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1]] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => [1,1] => 1

[[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0]] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,1,0,0,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0]] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => [3,2] => 0

[[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0]] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0]] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => [3,1] => 3

[[0,0,1,0,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0]] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => [3] => 2

[[0,1,0,0,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0]] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => [3,1] => 3

[[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0]] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => [3] => 2

[[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0]] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0]] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => [2,2] => 2

[[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => [2,1] => 0

[[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => [2,1] => 0

[[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => [2] => 1

[[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]] => [1,0,1,1,1,0,0,1,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => [2,1] => 0

[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,1,0],[0,1,0,-1,1],[0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => [2,1] => 0

[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,-1,1],[0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => [2] => 1

[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]] => [1,0,1,1,1,0,0,1,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => [2,1] => 0

[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,-1,1],[0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,0,0,1,0]] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => [2,2] => 2

[[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[0,0,0,1,0]] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,0,1],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,0,1],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => [2] => 1

[[1,0,0,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,1,0,0,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0]] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => [2] => 1

[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,1,0,0,0],[1,-1,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0],[0,0,0,0,1],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[1,0,0,0,0],[0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,0,1,0,0]] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,0,1,0,0]] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => [2,2] => 2

[[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,1,0],[0,0,0,0,1],[0,0,1,0,0]] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,0,0,1],[0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => [2,1] => 0

[[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,1,0],[0,0,0,0,1],[0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,1,0],[0,0,0,0,1],[0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => [2,1] => 0

[[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,1,0],[0,0,0,0,1],[0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => [2] => 1

[[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0]] => [1,0,1,1,1,0,0,1,0,0] => [3,1,1,1] => [1,1,1] => 2

>>> Load all 4997 entries. <<<

[[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,1,-1,0,1],[0,0,1,0,0]] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,1,0],[0,1,-1,0,1],[0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => [2,1] => 0

[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,1,-1,0,1],[0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,1,0],[0,1,-1,0,1],[0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => [2,1] => 0

[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,1,0],[0,1,-1,0,1],[0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => [2] => 1

[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]] => [1,0,1,1,1,0,0,1,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[1,0,-1,0,1],[0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => [2,1] => 0

[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[1,0,-1,0,1],[0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0]] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => [2,2] => 2

[[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,0,1,0],[0,0,1,0,0]] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,0,1],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,0,1],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,0,1],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,0,1],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => [2] => 1

[[1,0,0,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,1,0,0,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,-1,1,0],[0,0,1,0,0]] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,0,1],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,0,1],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,0,1],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => [2] => 1

[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,1,0,0,0],[1,-1,0,0,1],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0],[0,0,0,0,1],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[1,0,-1,1,0],[0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[1,0,-1,1,0],[0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[1,0,-1,1,0],[0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0]] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,1,0,0,0],[1,-1,0,1,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0],[0,0,0,1,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,1,0,0,0],[1,-1,0,0,1],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0],[0,0,0,0,1],[1,-1,0,1,0],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0]] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => [2,1] => 0

[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0]] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,1,0],[0,0,0,0,1],[0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => [2,1] => 0

[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,1,0],[0,0,0,0,1],[0,1,0,0,0]] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => [2] => 1

[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0]] => [1,0,1,1,1,0,0,1,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0]] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,0,0],[0,0,0,0,1],[0,1,0,0,0]] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[1,-1,0,0,1],[0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => [2,1] => 0

[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[1,-1,0,0,1],[0,1,0,0,0]] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[1,-1,0,0,1],[0,1,0,0,0]] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0]] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,0,1],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,0,1],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => [2] => 1

[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,1,0,0,0],[1,-1,0,0,1],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0],[0,0,0,0,1],[1,-1,1,0,0],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[1,-1,0,1,0],[0,1,0,0,0]] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[1,-1,0,1,0],[0,1,0,0,0]] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[1,-1,0,1,0],[0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[1,-1,0,1,0],[0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0]] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,1,0,0,0],[1,-1,0,1,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0],[0,0,0,1,0],[1,-1,0,0,1],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,1,0,0,0],[1,-1,0,0,1],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0],[0,0,0,0,1],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[1,-1,1,0,0],[0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[1,-1,1,0,0],[0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1],[1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => [2,1] => 0

[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[1,0,0,0,0]] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0]] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0],[1,0,0,0,0]] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[1,0,0,0,0]] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0],[1,0,0,0,0]] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0]] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0]] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0]] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => [1,1] => 1

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

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

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

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => [4,3,1] => 4

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => [4,3] => 0

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => [4,3,1] => 4

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => [4,3] => 0

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => [4,2,2,1] => 2

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => [4,2,2] => 0

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => [4,2,1,1] => 1

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => [4,2,1] => 5

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => [4,2] => 4

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => [4,2,1] => 5

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => [4,2] => 4

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => [4,1,1,1] => 0

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => [4,1,1] => 1

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => [4,1] => 2

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => [4] => 3

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => [4,1,1] => 1

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => [4,1] => 2

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => [4] => 3

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => [4,2,1,1] => 1

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => [4,2,1] => 5

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => [4,2] => 4

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => [4,2,1] => 5

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => [4,2] => 4

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => [4,1,1,1] => 0

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => [4,1,1] => 1

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => [4,1] => 2

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => [4] => 3

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => [4,1,1] => 1

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => [4,1] => 2

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => [4] => 3

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => [4,1] => 2

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => [4] => 3

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => [4,2,1] => 5

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => [4,2] => 4

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => [4,1,1] => 1

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => [4,1] => 2

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => [4] => 3

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => [4,1] => 2

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => [4] => 3

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

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

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => [3,3,1,1] => 0

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => [3,3,1] => 3

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => [3,3] => 4

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => [3,3,1] => 3

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => [3,3] => 4

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => [3,2,2,1] => 4

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => [3,2,2] => 3

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => [3,2,1,1] => 5

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => [3,2] => 0

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => [3,1,1,1] => 1

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => [3] => 2

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => [3,2,1,1] => 5

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => [3,2] => 0

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => [3,1,1,1] => 1

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => [3] => 2

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => [2,2,2,1] => 0

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => [2,2,2] => 4

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => [1,1] => 1

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

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

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => [3,2,1,1] => 5

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => [3,2] => 0

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => [3,1,1,1] => 1

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => [3,1] => 3

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

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => [3,1] => 3

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

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => [3,2,1,1] => 5

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => [3,2] => 0

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => [3,1,1,1] => 1

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => [3] => 2

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => [2,2,2,1] => 0

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => [2,2,2] => 4

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => [1,1] => 1

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

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => [1,1] => 1

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

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => [3,2,1] => 1

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

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => [3,2] => 0

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => [3,1,1,1] => 1

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => [3,1] => 3

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

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => [3,1] => 3

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

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => [3] => 2

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => [1,1] => 1

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

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

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => [3,1] => 3

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

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => [3,1] => 3

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

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => [1,1] => 1

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

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => [1,1] => 1

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

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

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

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => [4,3,1] => 4

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => [4,3] => 0

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => [4,3,1] => 4

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => [4,3] => 0

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => [4,2,2,1] => 2

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => [4,2,2] => 0

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => [4,2,1,1] => 1

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => [4,2,1] => 5

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => [4,2] => 4

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => [4,2,1] => 5

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => [4,2] => 4

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => [4,1,1,1] => 0

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => [4,1,1] => 1

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => [4,1] => 2

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => [4] => 3

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => [4,1,1] => 1

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => [4,1] => 2

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => [4] => 3

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => [4,2,1,1] => 1

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => [4,2,1] => 5

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => [4,2] => 4

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => [4,2,1] => 5

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => [4,2] => 4

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => [4,1,1,1] => 0

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => [4,1,1] => 1

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => [4,1] => 2

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => [4] => 3

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => [4,1,1] => 1

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => [4,1] => 2

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => [4] => 3

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => [4,1] => 2

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => [4] => 3

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => [4,2,1] => 5

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => [4,2] => 4

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => [4,1,1] => 1

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => [4,1] => 2

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => [4] => 3

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => [4,1] => 2

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => [4] => 3

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => [3,3,2,1] => 5

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => [3,3,2] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => [3,3,1,1] => 0

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => [3,3,1] => 3

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => [3,3] => 4

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => [3,3,1] => 3

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => [3,3] => 4

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => [3,2,2,1] => 4

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => [3,2,2] => 3

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => [3,2,1,1] => 5

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [3,2] => 0

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => [3,1,1,1] => 1

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => [3,2,1,1] => 5

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [3,2] => 0

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => [3,1,1,1] => 1

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => [2,2,2,1] => 0

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => [2,2,2] => 4

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => [3,2,2,1] => 4

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => [3,2,2] => 3

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => [3,2,1,1] => 5

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [3,2] => 0

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => [3,1,1,1] => 1

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => [3,2,1,1] => 5

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [3,2] => 0

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => [3,1,1,1] => 1

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => [2,2,2,1] => 0

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => [2,2,2] => 4

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => [3,2,1,1] => 5

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [3,2] => 0

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => [3,1,1,1] => 1

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

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

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => [3,3,2] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => [3,3,1,1] => 0

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => [3,3,1] => 3

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => [3,3] => 4

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => [3,3,1] => 3

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => [3,3] => 4

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => [3,2,2,1] => 4

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => [3,2,2] => 3

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => [3,2,1,1] => 5

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => [3,1,1,1] => 1

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => [3,2,1,1] => 5

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => [3,1,1,1] => 1

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => [2,2,2,1] => 0

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => [2,2,2] => 4

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => [2,2,2,1] => 0

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => [2,2,2] => 4

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

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

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => [3,2,2] => 3

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => [3,2,1,1] => 5

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => [3,1,1,1] => 1

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => [3,2,1,1] => 5

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => [3,1,1,1] => 1

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => [2,2,2,1] => 0

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => [2,2,2] => 4

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => [2,2,2,1] => 0

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => [2,2,2] => 4

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

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

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => [3,1,1,1] => 1

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

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

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

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => [3,3,1,1] => 0

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => [3,3,1] => 3

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => [3,3] => 4

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => [3,3,1] => 3

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => [3,3] => 4

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => [3,2,2,1] => 4

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => [3,2,2] => 3

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => [3,2,1,1] => 5

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [3,2] => 0

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => [3,1,1,1] => 1

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => [3,2,1,1] => 5

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [3,2] => 0

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => [3,1,1,1] => 1

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => [2,2,2,1] => 0

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => [2,2,2] => 4

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => [3,2,2,1] => 4

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => [3,2,2] => 3

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => [3,2,1,1] => 5

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [3,2] => 0

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => [3,1,1,1] => 1

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => [3,2,1,1] => 5

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [3,2] => 0

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => [3,1,1,1] => 1

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => [2,2,2,1] => 0

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => [2,2,2] => 4

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => [3,2,1,1] => 5

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [3,2] => 0

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => [3,1,1,1] => 1

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

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

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => [3,3,2] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => [3,3,1,1] => 0

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => [3,3,1] => 3

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => [3,3] => 4

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => [3,3,1] => 3

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => [3,3] => 4

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => [3,2,2,1] => 4

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => [3,2,2] => 3

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => [3,2,1,1] => 5

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => [3,1,1,1] => 1

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => [3,2,1,1] => 5

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => [3,1,1,1] => 1

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => [2,2,2,1] => 0

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => [2,2,2] => 4

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => [2,2,2,1] => 0

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => [2,2,2] => 4

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => [3,2,2,1] => 4

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => [3,2,2] => 3

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => [3,2,1,1] => 5

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => [3,1,1,1] => 1

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => [3,2,1,1] => 5

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => [3,1,1,1] => 1

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => [2,2,2,1] => 0

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => [2,2,2] => 4

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => [2,2,2,1] => 0

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => [2,2,2] => 4

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => [3,2,1,1] => 5

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => [3,1,1,1] => 1

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => [2,2,2,1] => 0

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

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => [2,2,2,1] => 0

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => [2,2,2] => 4

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

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

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

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

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

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => [3,2,1,1] => 5

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [3,2] => 0

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => [3,1,1,1] => 1

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

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

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

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

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => [3,2,1,1] => 5

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [3,2] => 0

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => [3,1,1,1] => 1

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => [2,2,2,1] => 0

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => [2,2,2] => 4

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

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

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => [3,2,1,1] => 5

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [3,2] => 0

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => [3,1,1,1] => 1

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

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

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => [3,2,2] => 3

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => [3,2,1,1] => 5

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => [3,1,1,1] => 1

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => [3,2,1,1] => 5

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => [3,1,1,1] => 1

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => [2,2,2,1] => 0

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => [2,2,2] => 4

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => [2,2,2,1] => 0

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => [2,2,2] => 4

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => [3,2,1,1] => 5

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => [3,1,1,1] => 1

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => [2,2,2,1] => 0

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

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => [2,2,2,1] => 0

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => [2,2,2] => 4

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

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

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

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

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [3,2] => 0

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => [3,1,1,1] => 1

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

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

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

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

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

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

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => [3,1,1,1] => 1

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

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

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => [2,2,1,1] => 4

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => [2,1,1,1] => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

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

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

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

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

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [3,1] => 3

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

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

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

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [3,2] => 0

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,1,1] => 0

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,1] => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3] => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [2,2,1] => 0

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [2,2] => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [2,1,1] => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [2,1] => 0

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [2] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [1,1] => 1

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [5,4,3,2,2,1] => [4,3,2,2,1] => 6

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1,1] => [4,3,2,1,1] => 2

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [6,5,4,2,1] => [5,4,2,1] => 6

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [6,5,3,2,1] => [5,3,2,1] => 2

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [6,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,0,1,0,0,0],[1,0,0,-1,1,0,0],[0,1,0,0,-1,1,0],[0,0,1,0,0,-1,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1] => [2,1] => 0

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

[[1,0,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1] => [1,1,1,1,1] => 4

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

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [6,5,4,2,1] => [5,4,2,1] => 6

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

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[1,0,0,0,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [6,4,3,2,1] => [4,3,2,1] => 1

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

[[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

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

[[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0,0],[1,-1,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0,0],[0,1,-1,0,0,0,1],[1,-1,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,-1,1,0],[1,-1,1,-1,1,-1,1],[0,1,-1,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0,0],[0,0,1,-1,0,0,1],[0,1,-1,0,0,1,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [5,4,3,2,2,1] => [4,3,2,2,1] => 6

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1,1] => [4,3,2,1,1] => 2

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [5,4,3,2,2,1] => [4,3,2,2,1] => 6

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1,1] => [4,3,2,1,1] => 2

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [5,4,3,2,2,1] => [4,3,2,2,1] => 6

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1,1] => [4,3,2,1,1] => 2

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,0,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [5,4,3,2,2,1] => [4,3,2,2,1] => 6

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1,1] => [4,3,2,1,1] => 2

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [5,4,3,2,2,1] => [4,3,2,2,1] => 6

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1,1] => [4,3,2,1,1] => 2

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,-1,0,0,1],[0,0,0,1,0,0,0]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [5,4,3,2,2,1] => [4,3,2,2,1] => 6

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1,1] => [4,3,2,1,1] => 2

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [3,2,1] => [2,1] => 0

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,-1,0,0,0,1,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [6,4,3,2,1] => [4,3,2,1] => 1

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,-1,0,0,0,1],[0,0,1,0,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1,1] => [4,3,2,1,1] => 2

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,0,-1,0,0,1,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [6,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [6,4,3,2,1] => [4,3,2,1] => 1

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,-1,0,0,1],[0,0,0,1,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1,1] => [4,3,2,1,1] => 2

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,0,0,0,0,1],[0,0,1,0,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1,1] => [4,3,2,1,1] => 2

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,0,0,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [6,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [6,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [6,4,3,2,1] => [4,3,2,1] => 1

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,0,-1,0,1],[0,0,0,0,1,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1,1] => [4,3,2,1,1] => 2

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,1,-1,0,0,1],[0,0,0,1,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1,1] => [4,3,2,1,1] => 2

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,0,1,0,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1,1] => [4,3,2,1,1] => 2

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,0,0,0,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [6,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [6,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,-1,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [6,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [6,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [6,4,3,2,1] => [4,3,2,1] => 1

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1,1] => [4,3,2,1,1] => 2

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,1,0,-1,0,1],[0,0,0,0,1,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1,1] => [4,3,2,1,1] => 2

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,-1,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1,1] => [4,3,2,1,1] => 2

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,-1,0,0,1],[0,0,0,1,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1,1] => [4,3,2,1,1] => 2

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,0,1,0,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1,1] => [4,3,2,1,1] => 2

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,0,0,1,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,0,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,-1,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,0,0,1,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,0,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,-1,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,0,-1,1,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,-1,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,-1,0,1,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,-1,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,1,0,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,1,-1,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,0,0,0,0,1],[0,0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,0,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,-1,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,-1,0,0,0,1],[0,0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,1,0,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,0,0,1,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,0,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,-1,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,0,0,1,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,0,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,-1,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,0,-1,1,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,-1,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,-1,0,1,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,-1,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,1,0,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,1,-1,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,0,0,0,0,1],[0,0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,0,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,-1,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,-1,0,0,0,1],[0,0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,1,0,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,0,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,0,-1,1,0,0],[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,0,-1,1,0,0],[0,0,0,0,0,1,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,0,-1,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,-1,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,-1,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,-1,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,-1,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,-1,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,-1,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,-1,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,0,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,-1,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,-1,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,-1,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,0,-1,1,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,-1,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,-1,0,1,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,-1,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,1,0,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,1,-1,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,0,0,0,0,1],[0,0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,0,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,-1,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,-1,0,0,0,1],[0,0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,1,0,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,0,0,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,0,0,0,-1,1,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,0,0,-1,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,0,0,-1,0,1,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,0,0,-1,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,0,-1,0,0,1,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,0,-1,0,0,1,0],[0,0,1,0,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,0,-1,0,0,1,0],[0,0,1,-1,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,0,-1,0,0,1,0],[0,0,0,0,0,0,1],[0,0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,-1,0,0,0,1,0],[0,1,0,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,-1,0,0,0,1,0],[0,1,0,0,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,-1,0,0,0,1,0],[0,1,0,-1,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,-1,0,0,0,1,0],[0,1,-1,0,0,0,1],[0,0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,-1,0,0,0,1,0],[0,0,0,0,0,0,1],[0,1,0,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[1,0,0,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[1,0,0,0,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[1,0,0,-1,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[1,0,-1,0,0,0,1],[0,0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[1,-1,0,0,0,0,1],[0,1,0,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,-1,0,0,1],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,1,-1,0,0,1,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,1,-1,0,0,1],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,1,0,0,0,0],[0,1,-1,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[1,0,0,0,0,0,0,0]] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1] => [1,1,1,1,1] => 4

[[0,0,0,1,0,0,0],[0,1,0,-1,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,1,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0,0,0],[0,1,-1,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[1,0,0,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0]] => [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1] => [1,1,1,1,1,1] => 5

[[0,0,0,1,0,0,0],[0,0,1,-1,0,0,1],[0,1,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,0,1,0,0,0,0],[0,1,0,-1,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[1,0,0,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,1,-1,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[1,0,0,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,0,1,0,0,0,0,0,0],[0,1,-1,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1] => [1,1,1,1,1] => 4

[[0,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0]] => [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 6

[[0,0,0,0,1,0,0,0],[0,1,0,0,-1,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[1,0,0,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,1,0,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,0,1,0,0,0],[0,0,1,-1,0,0,1],[0,0,0,0,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,0,1,0,0,0,0],[0,0,1,-1,0,0,0,1],[0,1,-1,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[1,0,0,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,0,1,0,0,0,0,0],[0,1,0,-1,0,0,0,0,1],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[1,0,0,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1],[0,1,-1,0,0,0,0,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1] => [1,1,1,1,1] => 4

[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1] => [1,1,1,1,1,1] => 5

[[0,1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0]] => [1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 7

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [6,5,4,2,1] => [5,4,2,1] => 6

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [6,5,3,2,1] => [5,3,2,1] => 2

[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[1,-1,0,0,0,1,0],[0,1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0]] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,0,1,0,0,0],[0,0,1,-1,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1],[0,1,-1,0,1,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,-1,0,0,0,1],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,-1,0,0,1],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,-1,0,1,0],[0,1,-1,1,-1,0,1],[0,0,1,-1,1,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,1,-1,0,1,-1,1],[0,0,1,-1,0,1,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,1,-1,0,0,1],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,-1,0,1,0],[0,0,1,0,-1,0,1],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[1,-1,0,0,0,1,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,-1,0,0,1],[1,0,-1,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1],[1,0,-1,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[1,0,-1,0,0,1,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[1,0,-1,0,0,0,1],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,-1,0,0,1],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,-1,0,1,0],[0,1,-1,1,-1,0,1],[1,-1,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,1,-1,0,1,-1,1],[1,-1,1,-1,0,1,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,-1,0,0,1,0],[1,-1,1,-1,0,0,1],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,-1,0,1,0],[0,0,1,0,-1,0,1],[1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1],[1,-1,0,1,-1,1,0],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0],[1,-1,0,1,-1,0,1],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1],[1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[1,-1,0,0,1,-1,1],[0,1,-1,0,0,1,0],[0,0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[1,0,0,-1,0,0,1],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,-1,0,1,0],[1,0,-1,1,-1,0,1],[0,1,0,-1,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[1,0,-1,0,1,-1,1],[0,1,0,-1,0,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,0,-1,0,0,1,0],[0,1,0,-1,0,0,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,-1,0,1,0],[1,-1,1,0,-1,0,1],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[1,-1,1,-1,0,1,0],[0,1,-1,1,-1,0,1],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0],[1,-1,0,1,0,-1,1],[0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[1,-1,0,1,-1,1,0],[0,1,-1,0,1,-1,1],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,0,0,-1,0,1,0],[0,1,0,0,-1,0,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[1,0,-1,1,-1,1,0],[0,1,0,-1,1,-1,1],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,-1,0,1,0,0],[0,1,0,-1,0,1,0],[0,0,1,0,-1,0,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,0,1,0,0,0],[0,1,0,-1,1,0,0],[1,-1,1,0,-1,1,0],[0,1,-1,1,0,-1,1],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,0,1,0,0,0],[0,0,1,-1,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,1,-1,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,0,1,0,0,0],[0,0,1,-1,0,0,1],[0,0,0,0,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,1,0,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,0,1,0,0,0],[0,0,1,-1,0,0,1],[0,1,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,1,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,0,1,0,0,0],[0,1,0,-1,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0,0],[0,1,-1,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,1,-1,1,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,0,1,0,0,0],[0,0,1,-1,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,1,0,-1,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,1,-1,0,1,0],[0,1,-1,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,0,1,0,0,0],[0,0,1,-1,0,0,1],[0,0,0,0,0,1,0],[0,1,-1,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,1,-1,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,1,0,-1,0,1,0],[0,0,0,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,0,1,0,0,0],[0,0,1,-1,0,0,1],[0,1,-1,0,0,1,0],[0,0,0,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,1,-1,0,0,1,0],[0,0,0,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,0,1,0,0,0],[0,1,0,-1,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0,0],[0,1,-1,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[1,0,0,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,1,-1,0,1,0],[1,0,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,0,1,0,0,0],[0,0,1,-1,0,0,1],[0,0,0,0,0,1,0],[1,0,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[1,0,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,1,0,-1,0,1,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,1,-1,0,0,1,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,0,1,0,0,0],[0,1,0,-1,0,0,1],[0,0,0,0,0,1,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0,0],[0,1,-1,0,0,0,1],[0,0,0,0,0,1,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[1,0,0,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,0,1,0,0,0],[0,0,1,-1,0,0,1],[1,0,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[1,0,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,0,1,0,0,0],[0,1,0,-1,0,0,1],[1,-1,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[1,-1,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1] => 3

[[0,0,0,1,0,0,0],[1,0,0,-1,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1] => [1,1] => 1

[[0,0,1,0,0,0,0],[1,0,-1,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1] => [1,1,1] => 2

[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0],[1,0,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[1,0,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0],[1,0,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0,0,0],[0,1,-1,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,0,0,1,-1,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0],[1,0,0,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,-1,1,0],[0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0,0,0],[0,1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[1,0,0,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,1,-1,0,0,1],[0,0,0,1,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,1,0,0],[1,0,0,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,0,0,0,1,0,0,0],[0,1,0,0,-1,1,0,0],[0,0,1,0,0,-1,1,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[1,0,0,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,-1,0,1,0],[0,0,1,0,-1,0,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,1,-1,0,1,-1,1],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0,0,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,-1,1,0,0],[0,0,1,-1,1,-1,1,0],[0,0,0,1,-1,1,-1,1],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,0,0],[1,0,0,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[1,0,0,0,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,-1,0,0,0,1],[0,0,1,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [4,3,2,1] => [3,2,1] => 1

[[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,1,-1,0,0,1,0,0],[0,0,1,-1,0,0,1,0],[0,0,0,1,-1,0,0,1],[0,0,0,0,1,0,0,0],[1,0,0,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [5,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [6,5,4,2,1] => [5,4,2,1] => 6

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [6,5,3,2,1] => [5,3,2,1] => 2

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,0,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [6,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [6,5,3,2,1] => [5,3,2,1] => 2

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [6,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [6,5,3,2,1] => [5,3,2,1] => 2

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [6,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [6,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,-1,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [6,5,3,2,1] => [5,3,2,1] => 2

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,0,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [6,4,3,2,1] => [4,3,2,1] => 1

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [6,5,3,2,1] => [5,3,2,1] => 2

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [6,4,3,2,1] => [4,3,2,1] => 1

[[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1] => [2,1] => 0

[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1] => [2,1] => 0

search for individual values

searching the database for the individual values of this statistic

Description

The Grundy value of Chomp on Ferrers diagrams.
Players take turns and choose a cell of the diagram, cutting off all cells below and to the right of this cell in English notation. The player who is left with the single cell partition looses. The traditional version is played on chocolate bars, see [1].
This statistic is the Grundy value of the partition, that is, the smallest non-negative integer which does not occur as value of a partition obtained by a single move.

Map

first row removal

Description

Removes the first entry of an integer partition

Map

to partition

Description

The cut-out partition of a Dyck path.
The partition

$\lambda$ associated to a Dyck path is defined to be the complementary partition inside the staircase partition

$(n-1,\ldots,2,1)$ when cutting out

$D$ considered as a path from

$(0,0)$ to

$(n,n)$ .
In other words,

$\lambda_{i}$ is the number of down-steps before the

$(n+1-i)$ -th up-step of

$D$ .
This map is a bijection between Dyck paths of size

$n$ and partitions inside the staircase partition

$(n-1,\ldots,2,1)$ .

Map

to Dyck path

Description

The Dyck path determined by the last diagonal of the monotone triangle of an alternating sign matrix.