- FindStat

Identifier

Mp00007: Alternating sign matrices —to Dyck path⟶ Dyck paths
Mp00102: Dyck paths —rise composition⟶ Integer compositions
Mp00133: Integer compositions —delta morphism⟶ Integer compositions
St001629: Integer compositions ⟶ ℤ

Values

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

>>> Load all 5129 entries. <<<

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0],[1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,0] => [3,1,1] => [1,2] => 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]] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1] => [6] => 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] => [2,1,1,1,1] => [1,4] => 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],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,2,1,1,1] => [1,1,3] => 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] => [2,1,1,1,1] => [1,4] => 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],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,0,0,0,1,0,1,0,1,0] => [3,1,1,1] => [1,3] => 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] => [2,1,1,1,1] => [1,4] => 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],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,1,1,0,0,0,1,0,1,0,1,0] => [3,1,1,1] => [1,3] => 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] => [1,1,2,1,1] => [2,1,2] => 3

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[[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] => [3,1,1,1] => [1,3] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [3,1,1,1] => [1,3] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1] => [1,4] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [3,1,1,1] => [1,3] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,3,1] => [2,1,1] => 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],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,0,1,1,1,0,0,1,0,0] => [2,3,1] => [1,1,1] => 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],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,2,2,1] => [1,2,1] => 2

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 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],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,3,1,1] => [1,1,2] => 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],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,4,1] => [1,1,1] => 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],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 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],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 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],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,2,2,1] => [1,2,1] => 2

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [1,3,1,1] => [1,1,2] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 1

[[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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1] => [1,1,1] => 1

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 1

[[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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 1

[[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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,3,1,1] => [1,1,2] => 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],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,4,1] => [1,1,1] => 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],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 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],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 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],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 1

[[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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 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],[0,0,1,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 1

[[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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1] => [1,1,3] => 2

[[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] => [2,1,1,1,1] => [1,4] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [2,1,1,1,1] => [1,4] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [1,3,1,1] => [1,1,2] => 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] => [2,2,1,1] => [2,2] => 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],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [3,1,1,1] => [1,3] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [3,1,1,1] => [1,3] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1] => [1,4] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [3,1,1,1] => [1,3] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,1] => [1,2] => 0

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,2,2,1] => [1,2,1] => 2

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 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],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,3,1,1] => [1,1,2] => 1

[[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] => [2,2,1,1] => [2,2] => 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],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 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],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 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],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 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],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1] => [1,1,1] => 1

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 1

[[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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 1

[[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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,3,1,1] => [1,1,2] => 1

[[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] => [2,2,1,1] => [2,2] => 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],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 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],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 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],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 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],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 1

[[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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 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],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1] => [1,4] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [2,2,1,1] => [2,2] => 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],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [3,1,1,1] => [1,3] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [3,1,1,1] => [1,3] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 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],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,2,1,1] => [2,2] => 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],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1] => [1,1,1] => 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],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 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],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 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],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,2,1,1] => [2,2] => 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],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1] => [1,1,1] => 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],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 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],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 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],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 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],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,1],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,3] => [3,1] => 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],[0,0,0,1,0,0]] => [1,1,0,0,1,0,1,1,1,0,0,0] => [2,1,3] => [1,1,1] => 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],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,2,3] => [1,1,1] => 1

[[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] => [2,1,3] => [1,1,1] => 1

[[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] => [2,1,3] => [1,1,1] => 1

[[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] => [1,1,2,2] => [2,2] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [1,2,1,2] => [1,1,1,1] => 0

[[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] => [2,1,1,2] => [1,2,1] => 2

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [2,1,1,2] => [1,2,1] => 2

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [1,3,2] => [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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [1,2,1,2] => [1,1,1,1] => 0

[[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] => [2,1,1,2] => [1,2,1] => 2

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [2,1,1,2] => [1,2,1] => 2

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [1,3,2] => [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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [2,1,1,2] => [1,2,1] => 2

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [1,1,3,1] => [2,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [1,2,2,1] => [1,2,1] => 2

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [1,3,1,1] => [1,1,2] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,2,2,1] => [1,2,1] => 2

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [1,3,1,1] => [1,1,2] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,4] => [2,1] => 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],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,2,3] => [1,1,1] => 1

[[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] => [2,1,3] => [1,1,1] => 1

[[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] => [2,1,3] => [1,1,1] => 1

[[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] => [1,3,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,2,3] => [1,1,1] => 1

[[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] => [2,1,3] => [1,1,1] => 1

[[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] => [2,1,3] => [1,1,1] => 1

[[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] => [1,3,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,1,3] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,2,2] => [2,2] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [1,2,1,2] => [1,1,1,1] => 0

[[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] => [2,1,1,2] => [1,2,1] => 2

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [2,1,1,2] => [1,2,1] => 2

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [1,3,2] => [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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [1,2,1,2] => [1,1,1,1] => 0

[[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] => [2,1,1,2] => [1,2,1] => 2

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [2,1,1,2] => [1,2,1] => 2

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [1,3,2] => [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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [2,1,1,2] => [1,2,1] => 2

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [3,1,2] => [1,1,1] => 1

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-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] => [1,1,3,1] => [2,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,2,2,1] => [1,2,1] => 2

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [1,3,1,1] => [1,1,2] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [1,2,2,1] => [1,2,1] => 2

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [1,3,1,1] => [1,1,2] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 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],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,3,1,1] => [1,1,2] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,4] => [2,1] => 0

[[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] => [1,2,3] => [1,1,1] => 1

[[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] => [2,1,3] => [1,1,1] => 1

[[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] => [2,1,3] => [1,1,1] => 1

[[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] => [1,3,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [1,2,3] => [1,1,1] => 1

[[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] => [2,1,3] => [1,1,1] => 1

[[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] => [2,1,3] => [1,1,1] => 1

[[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] => [1,3,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [2,1,3] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,3,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,2,1,2] => [1,1,1,1] => 0

[[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] => [2,1,1,2] => [1,2,1] => 2

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [2,1,1,2] => [1,2,1] => 2

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [1,3,2] => [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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [2,1,1,2] => [1,2,1] => 2

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [3,1,2] => [1,1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-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] => [1,2,2,1] => [1,2,1] => 2

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [1,3,1,1] => [1,1,2] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 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,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,3,1,1] => [1,1,2] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 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,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,2,3] => [1,1,1] => 1

[[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] => [2,1,3] => [1,1,1] => 1

[[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] => [2,1,3] => [1,1,1] => 1

[[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] => [1,3,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [2,1,3] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,3,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [3,1,2] => [1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [2,1,1,2] => [1,2,1] => 2

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 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],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,1,2] => [1,1,1] => 1

[[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] => [3,1,2] => [1,1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-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] => [3,2,1] => [1,1,1] => 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],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 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],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-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] => [3,2,1] => [1,1,1] => 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],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 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],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 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],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,1,3] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [3,1,2] => [1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,3,1] => [2,1,1] => 1

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,0,1,1,1,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,2,2,1] => [1,2,1] => 2

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [1,3,1,1] => [1,1,2] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,2,2,1] => [1,2,1] => 2

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [1,3,1,1] => [1,1,2] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,3,1,1] => [1,1,2] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,4] => [2,1] => 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],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,2,3] => [1,1,1] => 1

[[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] => [2,1,3] => [1,1,1] => 1

[[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] => [2,1,3] => [1,1,1] => 1

[[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] => [1,3,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,2,3] => [1,1,1] => 1

[[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] => [2,1,3] => [1,1,1] => 1

[[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] => [2,1,3] => [1,1,1] => 1

[[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] => [1,3,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,1,3] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,3,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,2,2,1] => [1,2,1] => 2

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [1,3,1,1] => [1,1,2] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,3,1,1] => [1,1,2] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 0

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,2,3] => [1,1,1] => 1

[[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] => [2,1,3] => [1,1,1] => 1

[[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] => [2,1,3] => [1,1,1] => 1

[[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] => [1,3,2] => [1,1,1] => 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],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,1,3] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,3,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [3,1,2] => [1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 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],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 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],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 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],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 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],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 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],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,1,3] => [1,1,1] => 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],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [3,1,2] => [1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0],[0,0,0,1,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,2,1,1] => [2,1,2] => 3

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [1,2,1,1,1] => [1,1,3] => 2

[[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] => [2,1,1,1,1] => [1,4] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [2,1,1,1,1] => [1,4] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [1,3,1,1] => [1,1,2] => 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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1] => [1,1,3] => 2

[[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] => [2,1,1,1,1] => [1,4] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [2,1,1,1,1] => [1,4] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [1,3,1,1] => [1,1,2] => 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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [3,1,1,1] => [1,3] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1] => [1,4] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [3,1,1,1] => [1,3] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,3,1] => [2,1,1] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,0,1,1,1,0,0,1,0,0] => [2,3,1] => [1,1,1] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,2,2,1] => [1,2,1] => 2

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,3,1,1] => [1,1,2] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,4,1] => [1,1,1] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,2,2,1] => [1,2,1] => 2

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [1,3,1,1] => [1,1,2] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1] => [1,1,1] => 1

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,3,1,1] => [1,1,2] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,4,1] => [1,1,1] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1] => [1,1,3] => 2

[[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] => [2,1,1,1,1] => [1,4] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [2,1,1,1,1] => [1,4] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [1,3,1,1] => [1,1,2] => 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] => [2,2,1,1] => [2,2] => 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],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [3,1,1,1] => [1,3] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [3,1,1,1] => [1,3] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1] => [1,4] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [3,1,1,1] => [1,3] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,1] => [1,2] => 0

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,2,2,1] => [1,2,1] => 2

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 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],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,3,1,1] => [1,1,2] => 1

[[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] => [2,2,1,1] => [2,2] => 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],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 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],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 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],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 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],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1] => [1,1,1] => 1

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 1

[[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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 1

[[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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,3,1,1] => [1,1,2] => 1

[[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] => [2,2,1,1] => [2,2] => 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],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 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],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 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],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 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],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 1

[[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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 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],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1] => [1,4] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [2,2,1,1] => [2,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [3,1,1,1] => [1,3] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [3,1,1,1] => [1,3] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,2,1,1] => [2,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1] => [1,1,1] => 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],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,2,1,1] => [2,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1] => [1,1,1] => 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],[1,0,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,0,1],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,2,2] => [2,2] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [1,2,1,2] => [1,1,1,1] => 0

[[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] => [2,1,1,2] => [1,2,1] => 2

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [2,1,1,2] => [1,2,1] => 2

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [1,3,2] => [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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [1,2,1,2] => [1,1,1,1] => 0

[[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] => [2,1,1,2] => [1,2,1] => 2

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [2,1,1,2] => [1,2,1] => 2

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [1,3,2] => [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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [2,1,1,2] => [1,2,1] => 2

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [3,1,2] => [1,1,1] => 1

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-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] => [1,1,3,1] => [2,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,2,2,1] => [1,2,1] => 2

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [1,3,1,1] => [1,1,2] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [1,2,2,1] => [1,2,1] => 2

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [1,3,1,1] => [1,1,2] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 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],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,3,1,1] => [1,1,2] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,4] => [2,1] => 0

[[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] => [1,2,3] => [1,1,1] => 1

[[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] => [2,1,3] => [1,1,1] => 1

[[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] => [2,1,3] => [1,1,1] => 1

[[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] => [1,3,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [1,2,3] => [1,1,1] => 1

[[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] => [2,1,3] => [1,1,1] => 1

[[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] => [2,1,3] => [1,1,1] => 1

[[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] => [1,3,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [2,1,3] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,3,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,2,1,2] => [1,1,1,1] => 0

[[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] => [2,1,1,2] => [1,2,1] => 2

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [2,1,1,2] => [1,2,1] => 2

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [1,3,2] => [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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [2,1,1,2] => [1,2,1] => 2

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [3,1,2] => [1,1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-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] => [1,2,2,1] => [1,2,1] => 2

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [1,3,1,1] => [1,1,2] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 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,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,3,1,1] => [1,1,2] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 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,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,2,3] => [1,1,1] => 1

[[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] => [2,1,3] => [1,1,1] => 1

[[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] => [2,1,3] => [1,1,1] => 1

[[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] => [1,3,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [2,1,3] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,3,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [3,1,2] => [1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [2,1,1,2] => [1,2,1] => 2

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 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],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,1,2] => [1,1,1] => 1

[[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] => [3,1,2] => [1,1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-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] => [3,2,1] => [1,1,1] => 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],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 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],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-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] => [3,2,1] => [1,1,1] => 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],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 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],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 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],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,1,3] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [3,1,2] => [1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,-1,0,1,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,3,1] => [2,1,1] => 1

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,0,1,1,1,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,2,2,1] => [1,2,1] => 2

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [1,3,1,1] => [1,1,2] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,2,2,1] => [1,2,1] => 2

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [1,3,1,1] => [1,1,2] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,3,1,1] => [1,1,2] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,4] => [2,1] => 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],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,2,3] => [1,1,1] => 1

[[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] => [2,1,3] => [1,1,1] => 1

[[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] => [2,1,3] => [1,1,1] => 1

[[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] => [1,3,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,2,3] => [1,1,1] => 1

[[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] => [2,1,3] => [1,1,1] => 1

[[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] => [2,1,3] => [1,1,1] => 1

[[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] => [1,3,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,1,3] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,3,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,2,2,1] => [1,2,1] => 2

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [1,3,1,1] => [1,1,2] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,3,1,1] => [1,1,2] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 0

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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,-1,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,2,3] => [1,1,1] => 1

[[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] => [2,1,3] => [1,1,1] => 1

[[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] => [2,1,3] => [1,1,1] => 1

[[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] => [1,3,2] => [1,1,1] => 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,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,1,3] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,3,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [3,1,2] => [1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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,-1,1,0,0],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 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],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 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],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 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],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 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],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 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],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,1,3] => [1,1,1] => 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],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [3,1,2] => [1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,3,1,1] => [1,1,2] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,3,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [3,1,2] => [1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 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],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 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],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 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],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [3,1,2] => [1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1] => [1,1,3] => 2

[[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] => [2,1,1,1,1] => [1,4] => 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],[0,1,0,0,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [2,1,1,1,1] => [1,4] => 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],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [1,3,1,1] => [1,1,2] => 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] => [2,2,1,1] => [2,2] => 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],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [3,1,1,1] => [1,3] => 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],[0,1,0,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [3,1,1,1] => [1,3] => 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],[0,1,0,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1] => [1,4] => 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],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [3,1,1,1] => [1,3] => 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],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,1] => [1,2] => 0

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,2,2,1] => [1,2,1] => 2

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 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],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,3,1,1] => [1,1,2] => 1

[[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] => [2,2,1,1] => [2,2] => 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],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 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],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 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],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 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],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1] => [1,1,1] => 1

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,3,1,1] => [1,1,2] => 1

[[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] => [2,2,1,1] => [2,2] => 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],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 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],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 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],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 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],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 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],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1] => [1,4] => 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,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [2,2,1,1] => [2,2] => 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,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [3,1,1,1] => [1,3] => 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,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [3,1,1,1] => [1,3] => 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,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 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,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,2,1,1] => [2,2] => 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,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1] => [1,1,1] => 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],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 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,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 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,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,2,1,1] => [2,2] => 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,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1] => [1,1,1] => 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],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 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,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 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,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 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,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,2,1,2] => [1,1,1,1] => 0

[[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] => [2,1,1,2] => [1,2,1] => 2

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [2,1,1,2] => [1,2,1] => 2

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [1,3,2] => [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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [2,1,1,2] => [1,2,1] => 2

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [3,1,2] => [1,1,1] => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-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] => [1,2,2,1] => [1,2,1] => 2

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [1,3,1,1] => [1,1,2] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 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],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,3,1,1] => [1,1,2] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 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],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,2,3] => [1,1,1] => 1

[[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] => [2,1,3] => [1,1,1] => 1

[[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] => [2,1,3] => [1,1,1] => 1

[[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] => [1,3,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [2,1,3] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,3,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [3,1,2] => [1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [2,1,1,2] => [1,2,1] => 2

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 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],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,1,2] => [1,1,1] => 1

[[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] => [3,1,2] => [1,1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-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] => [3,2,1] => [1,1,1] => 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],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 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],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-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] => [3,2,1] => [1,1,1] => 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],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 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],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 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],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,1,3] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [3,1,2] => [1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,2,2,1] => [1,2,1] => 2

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [1,3,1,1] => [1,1,2] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,3,1,1] => [1,1,2] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 0

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,2,3] => [1,1,1] => 1

[[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] => [2,1,3] => [1,1,1] => 1

[[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] => [2,1,3] => [1,1,1] => 1

[[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] => [1,3,2] => [1,1,1] => 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],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,1,3] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,3,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,-1,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [3,1,2] => [1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[0,0,0,1,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 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],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 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],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 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],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 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],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 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],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,1,3] => [1,1,1] => 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,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [3,1,2] => [1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,-1,0,1,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,3,1,1] => [1,1,2] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 0

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 1

[[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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,3,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [3,1,2] => [1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,4,1] => [1,1,1] => 1

[[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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,-1,0,0,0,1],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 0

[[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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 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],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 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],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 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],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,0,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [3,1,2] => [1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,0,0,1],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,0,0,1],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 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],[1,0,0,0,0,0],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [3,1,2] => [1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[0,1,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1] => [1,4] => 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],[1,0,0,0,0,0]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [2,2,1,1] => [2,2] => 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],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [3,1,1,1] => [1,3] => 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],[1,0,0,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [3,1,1,1] => [1,3] => 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],[1,0,0,0,0,0]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 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],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,2,1,1] => [2,2] => 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],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1] => [1,1,1] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 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],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 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],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,2,1,1] => [2,2] => 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],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1] => [1,1,1] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 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],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 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],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [1,1,1] => 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],[0,0,0,0,0,1],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [2,1,1,2] => [1,2,1] => 2

[[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] => [3,1,2] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,1,2] => [1,1,1] => 1

[[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] => [3,1,2] => [1,1,1] => 1

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-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] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-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] => [3,2,1] => [1,1,1] => 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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-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] => [3,2,1] => [1,1,1] => 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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,1,3] => [1,1,1] => 1

[[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] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [3,1,2] => [1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [2,1,2,1] => [1,1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,1,3] => [1,1,1] => 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],[0,0,0,1,0,0],[1,0,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [3,1,2] => [1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,2,1,1] => [2,2] => 1

[[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] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2] => [3] => 1

[[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] => [3,1,2] => [1,1,1] => 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] => [3,1,2] => [1,1,1] => 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] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [3,1,2] => [1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [1,1,1] => 1

[[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] => [3,2,1] => [1,1,1] => 1

[[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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [1,3] => 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] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [1,1,1] => 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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [3,1,2] => [1,1,1] => 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] => [3,2,1] => [1,1,1] => 1

[[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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [1,1,1] => 1

[[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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [1,2] => 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],[1,0,0,0,0,0]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [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],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1] => [7] => 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],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,2] => [5,1] => 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],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,2,1] => [4,1,1] => 2

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,2,1,1] => [3,1,2] => 4

[[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] => [1,1,2,1,1,1] => [2,1,3] => 4

[[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] => [1,2,1,1,1,1] => [1,1,4] => 2

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1] => [1,5] => 0

[[0,1,0,0,0,0,0],[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],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1] => [1,5] => 0

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[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] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,1,0,0,0],[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] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1] => [1,5] => 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,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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,-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] => [3,1,1,1,1] => [1,4] => 0

[[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] => [4,1,1,1] => [1,3] => 0

[[0,0,0,0,1,0,0],[1,0,0,0,-1,1,0],[0,1,0,0,0,-1,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 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]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1] => [8] => 1

[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,1,2] => [6,1] => 0

[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,2,1] => [5,1,1] => 3

[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,2,1,1] => [4,1,2] => 8

[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[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]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,2,1,1,1] => [3,1,3] => 11

[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,-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]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,2,1,1,1,1] => [2,1,4] => 8

[[1,0,0,0,0,0,0,0],[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]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1,1,1] => [1,1,5] => 3

[[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1] => [1,6] => 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],[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]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1] => [1,6] => 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],[0,0,1,0,0,0,0,0],[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]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1] => [1,6] => 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],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1] => [1,6] => 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],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,1,1,1,1,1,1] => [1,6] => 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],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1,1] => [1,6] => 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,-1,1],[0,0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1,1] => [1,6] => 0

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,2,1] => [4,1,1] => 2

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,2,1,1] => [3,1,2] => 4

[[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] => [1,2,1,1,1,1] => [1,1,4] => 2

[[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] => [2,2,1,1,1] => [2,3] => 1

[[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],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1] => [1,5] => 0

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[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] => [2,1,1,1,1,1] => [1,5] => 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],[1,0,0,0,0,0,0],[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] => [2,1,1,1,2] => [1,3,1] => 3

[[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] => [2,1,1,1,1,1] => [1,5] => 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],[0,1,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1,1] => [1,4] => 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],[1,0,0,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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],[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] => [4,1,1,1] => [1,3] => 0

[[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 0

[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0],[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] => [3,1,1,1,1] => [1,4] => 0

[[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] => [4,1,1,1] => [1,3] => 0

[[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,-1,1],[0,1,-1,1,-1,1,0],[1,-1,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 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],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,1,0]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,1,1,2] => [7,1] => 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],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,1,2,1] => [6,1,1] => 3

[[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],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,1,2,1,1] => [5,1,2] => 11

[[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],[0,0,0,0,0,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,2,1,1,1] => [4,1,3] => 19

[[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],[0,0,0,0,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,2,1,1,1,1] => [3,1,4] => 19

[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,2,1,1,1,1,1] => [2,1,5] => 11

[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1,1,1,1] => [1,1,6] => 3

[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1,1,1] => [1,7] => 0

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,2,1,1] => [3,1,2] => 4

[[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] => [1,1,2,1,1,1] => [2,1,3] => 4

[[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] => [1,2,1,1,1,1] => [1,1,4] => 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] => [2,1,1,1,1,1] => [1,5] => 0

[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1],[0,0,0,0,0,1,0,0]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,2,1] => [5,1,1] => 3

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,1,-1,0,1],[0,0,0,0,1,0,0]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,2,1,1] => [3,1,2] => 4

[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,2,1,1] => [4,1,2] => 8

[[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] => [1,1,2,1,1,1] => [2,1,3] => 4

[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,2,1,1,1] => [3,1,3] => 11

[[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] => [1,2,1,1,1,1] => [1,1,4] => 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] => [1,1,2,1,1,1] => [2,1,3] => 4

[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,1,0,-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]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,2,1,1,1,1] => [2,1,4] => 8

[[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] => [2,1,1,1,1,1] => [1,5] => 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,-1,1],[0,0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1,1] => [1,1,4] => 2

[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,1,0,-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]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1,1,1] => [1,1,5] => 3

[[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] => [2,1,1,1,1,1] => [1,5] => 0

[[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[1,0,-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]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1,1] => [1,6] => 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],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0,0]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,1,2,1] => [6,1,1] => 3

[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,1,0,0]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,2,1,1] => [4,1,2] => 8

[[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],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,0,1,0]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,1,2,1,1] => [5,1,2] => 11

[[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] => [1,1,2,1,1,1] => [2,1,3] => 4

[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,1,0,-1,1],[0,0,0,0,0,0,1,0]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,2,1,1,1] => [3,1,3] => 11

[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1],[0,0,0,0,1,0,0,0]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,2,1,1] => [4,1,2] => 8

[[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],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,1,0,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,2,1,1,1] => [4,1,3] => 19

[[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] => [1,2,1,1,1,1] => [1,1,4] => 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] => [1,1,2,1,1,1] => [2,1,3] => 4

[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,1,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,2,1,1,1,1] => [2,1,4] => 8

[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,1,0,0,-1,1],[0,0,0,0,0,0,1,0]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,2,1,1,1] => [3,1,3] => 11

[[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],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,1,0,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,2,1,1,1,1] => [3,1,4] => 19

[[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] => [2,1,1,1,1,1] => [1,5] => 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,-1,1],[0,0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1,1] => [1,1,4] => 2

[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,1,0,-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]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1,1,1] => [1,1,5] => 3

[[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] => [1,1,2,1,1,1] => [2,1,3] => 4

[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,1,0,0,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,2,1,1,1,1] => [2,1,4] => 8

[[1,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,1,0,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,2,1,1,1,1,1] => [2,1,5] => 11

[[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] => [2,1,1,1,1,1] => [1,5] => 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],[0,1,0,-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]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1,1] => [1,6] => 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,-1,1],[0,0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1,1] => [1,1,4] => 2

[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,1,0,0,-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]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1,1,1] => [1,1,5] => 3

[[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,1,0,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1,1,1,1] => [1,1,6] => 3

[[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] => [2,1,1,1,1,1] => [1,5] => 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],[1,0,0,-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]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1,1] => [1,6] => 0

[[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[1,0,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1,1,1] => [1,7] => 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],[0,0,0,1,0,0,0,0],[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] => [5,1,1,1] => [1,3] => 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],[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1,1] => [1,6] => 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] => [2,1,1,1,1,1] => [1,5] => 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],[0,1,-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] => [1,2,1,1,1,1] => [1,1,4] => 2

[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1],[0,1,0,0,0,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1,1,1] => [1,1,5] => 3

[[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],[1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1,1,1] => [1,7] => 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],[1,-1,0,0,0,0,1,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1,1] => [1,6] => 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],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1] => [1,5] => 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],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1] => [1,5] => 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],[0,1,0,-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] => [1,2,1,1,1,1] => [1,1,4] => 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] => [1,2,1,1,1,1] => [1,1,4] => 2

[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,1,-1,0,0,0,0,1],[0,0,1,0,0,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1,1,1] => [1,1,5] => 3

[[1,0,0,0,0,0,0,0,0],[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],[0,1,0,0,0,0,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1,1,1,1] => [1,1,6] => 3

[[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],[1,-1,0,0,0,0,0,1,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1,1,1] => [1,7] => 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],[1,0,-1,0,0,0,1,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1,1] => [1,6] => 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,-1,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1,1] => [1,6] => 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],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1] => [1,5] => 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],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1] => [1,5] => 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],[0,1,0,0,-1,0,1],[0,0,0,0,1,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1,1] => [1,1,4] => 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] => [1,2,1,1,1,1] => [1,1,4] => 2

[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,1,0,-1,0,0,0,1],[0,0,0,1,0,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1,1,1] => [1,1,5] => 3

[[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] => [1,2,1,1,1,1] => [1,1,4] => 2

[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,1,-1,0,0,0,1,0],[0,0,0,0,0,0,0,1],[0,0,1,0,0,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1,1,1] => [1,1,5] => 3

[[1,0,0,0,0,0,0,0,0],[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],[0,1,-1,0,0,0,0,0,1],[0,0,1,0,0,0,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1,1,1,1] => [1,1,6] => 3

[[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],[1,0,-1,0,0,0,0,1,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1,1,1] => [1,7] => 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],[1,-1,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1,1,1] => [1,7] => 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],[1,0,0,-1,0,0,1,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1,1] => [1,6] => 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,-1,0,0,0,1,0,0],[0,1,-1,0,0,0,1,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1,1] => [1,6] => 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],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1,1] => [1,6] => 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],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1] => [1,5] => 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],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1] => [1,5] => 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],[0,1,0,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1,1] => [1,1,4] => 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] => [1,2,1,1,1,1] => [1,1,4] => 2

[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,1,0,0,-1,0,0,1],[0,0,0,0,1,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1,1,1] => [1,1,5] => 3

[[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] => [1,2,1,1,1,1] => [1,1,4] => 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] => [1,2,1,1,1,1] => [1,1,4] => 2

[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,1,-1,0,0,0,1,0],[0,0,1,-1,0,0,0,1],[0,0,0,1,0,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1,1,1] => [1,1,5] => 3

[[1,0,0,0,0,0,0,0,0],[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],[0,1,0,-1,0,0,0,0,1],[0,0,0,1,0,0,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1,1,1,1] => [1,1,6] => 3

[[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] => [1,2,1,1,1,1] => [1,1,4] => 2

[[1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,1,-1,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1],[0,0,1,0,0,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1,1,1] => [1,1,5] => 3

[[1,0,0,0,0,0,0,0,0],[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],[0,1,-1,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1],[0,0,1,0,0,0,0,0,0]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1,1,1,1] => [1,1,6] => 3

[[0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[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]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1] => [1,7] => 0

[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[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]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1] => [1,7] => 0

[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[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]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1] => [1,7] => 0

[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1] => [1,7] => 0

[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1] => [1,7] => 0

[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,1,1,1,1,1,1,1] => [1,7] => 0

[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1,1,1] => [1,7] => 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],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,0,1,0],[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] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,0,1,0],[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] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,0,1,0],[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] => [2,1,1,1,1,1] => [1,5] => 0

[[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] => [2,1,1,1,1,1] => [1,5] => 0

[[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] => [2,1,1,1,1,1] => [1,5] => 0

[[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] => [2,1,1,1,1,1] => [1,5] => 0

[[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] => [2,1,1,1,1,1] => [1,5] => 0

[[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] => [2,1,1,1,1,1] => [1,5] => 0

[[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] => [2,1,1,1,1,1] => [1,5] => 0

[[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] => [2,1,1,1,1,1] => [1,5] => 0

[[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] => [2,1,1,1,1,1] => [1,5] => 0

[[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] => [2,1,1,1,1,1] => [1,5] => 0

[[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] => [2,1,1,1,1,1] => [1,5] => 0

[[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] => [2,1,1,1,1,1] => [1,5] => 0

[[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] => [2,1,1,1,1,1] => [1,5] => 0

[[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] => [2,1,1,1,1,1] => [1,5] => 0

[[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] => [2,1,1,1,1,1] => [1,5] => 0

[[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] => [2,1,1,1,1,1] => [1,5] => 0

[[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] => [2,1,1,1,1,1] => [1,5] => 0

[[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] => [2,1,1,1,1,1] => [1,5] => 0

[[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] => [2,1,1,1,1,1] => [1,5] => 0

[[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] => [2,1,1,1,1,1] => [1,5] => 0

[[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] => [2,1,1,1,1,1] => [1,5] => 0

[[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] => [2,1,1,1,1,1] => [1,5] => 0

[[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] => [2,1,1,1,1,1] => [1,5] => 0

[[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] => [2,1,1,1,1,1] => [1,5] => 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],[0,1,0,0,-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] => [2,1,1,1,1,1] => [1,5] => 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],[0,1,0,0,-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] => [2,1,1,1,1,1] => [1,5] => 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],[0,1,0,-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] => [2,1,1,1,1,1] => [1,5] => 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],[0,1,0,-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] => [2,1,1,1,1,1] => [1,5] => 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],[0,1,0,-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] => [2,1,1,1,1,1] => [1,5] => 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],[0,1,-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] => [2,1,1,1,1,1] => [1,5] => 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],[0,1,-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] => [2,1,1,1,1,1] => [1,5] => 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],[0,1,-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] => [2,1,1,1,1,1] => [1,5] => 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],[0,1,-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] => [2,1,1,1,1,1] => [1,5] => 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,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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,-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] => [2,1,1,1,1,1] => [1,5] => 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,-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] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,0,0,1],[0,1,0,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,0,1,0],[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] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,0,1,0],[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] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,0,1,0],[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] => [2,1,1,1,1,1] => [1,5] => 0

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,0,0,1,0,0],[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] => [2,1,1,1,1,1] => [1,5] => 0

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,0,0,1,0,0],[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] => [2,1,1,1,1,1] => [1,5] => 0

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,0,0,1,0,0],[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] => [2,1,1,1,1,1] => [1,5] => 0

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,0,0,1,0,0],[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] => [2,1,1,1,1,1] => [1,5] => 0

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,0,0,1,0,0],[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] => [2,1,1,1,1,1] => [1,5] => 0

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,0,0,1,0,0],[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] => [2,1,1,1,1,1] => [1,5] => 0

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,0,0,1,0,0],[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] => [2,1,1,1,1,1] => [1,5] => 0

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,0,0,1,0,0],[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] => [2,1,1,1,1,1] => [1,5] => 0

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,0,0,1,0,0],[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] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,0,1,0],[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] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,0,1,0],[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] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,0,1,0],[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] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,0,1,0],[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] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,0,1,0],[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] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,0,1,0],[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] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,0,1,0],[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] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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,-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] => [2,1,1,1,1,1] => [1,5] => 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,-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] => [2,1,1,1,1,1] => [1,5] => 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,-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] => [2,1,1,1,1,1] => [1,5] => 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,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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,-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] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,0,0,1],[0,0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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,-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] => [2,1,1,1,1,1] => [1,5] => 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,-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] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,0,0,1],[0,1,0,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,0,1,0],[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] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,0,1,0],[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] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,0,1,0],[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] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,1,0,-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] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,1,0,-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] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,1,-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] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,1,-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] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,1,-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] => [2,1,1,1,1,1] => [1,5] => 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,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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,-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] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,0,0,1],[0,0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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,-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] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,0,0,1],[0,0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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,-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] => [2,1,1,1,1,1] => [1,5] => 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,-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] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,0,0,1],[0,1,0,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,0,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,0,0,1],[0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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,-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] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,0,0,1],[0,0,1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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,-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] => [2,1,1,1,1,1] => [1,5] => 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,-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] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,0,0,1],[0,1,0,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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,-1,1],[0,0,0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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,-1,0,1],[0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [1,5] => 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,-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] => [2,1,1,1,1,1] => [1,5] => 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,-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] => [2,1,1,1,1,1] => [1,5] => 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,-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] => [2,1,1,1,1,1] => [1,5] => 0

[[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,1,-1,0,1],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 0

[[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,1,-1,0,1,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 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],[0,1,-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] => [4,1,1,1] => [1,3] => 0

[[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,1,-1,0,1],[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,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [6,1,1] => [1,2] => 0

[[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,-1,1,0],[0,1,-1,0,1,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 0

[[0,0,0,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[0,1,-1,0,0,1,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 0

[[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,1,-1,0,1,0],[0,0,1,-1,1,0,0,0],[0,1,-1,1,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,1,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [6,1,1] => [1,2] => 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] => [4,1,1,1] => [1,3] => 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] => [5,1,1,1] => [1,3] => 0

[[0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,1,-1,1,0,0],[0,0,0,1,-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],[0,1,0,0,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [7,1,1] => [1,2] => 0

[[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0],[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] => [2,1,1,1,1,1] => [1,5] => 0

[[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[1,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1] => [1,6] => 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],[0,0,1,0,0,0,0],[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] => [2,1,1,1,1,1] => [1,5] => 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],[0,1,0,0,0,0,0,0],[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]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1] => [1,6] => 0

[[0,1,0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0],[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]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1] => [1,7] => 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],[1,0,0,0,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1,1] => [1,6] => 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],[1,0,0,0,0,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1,1,1] => [1,7] => 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],[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] => [3,1,1,1,1] => [1,4] => 0

[[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,0,-1,0,1],[0,0,0,1,0,0,0],[0,1,-1,0,1,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 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],[0,1,-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] => [4,1,1,1] => [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,-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] => [3,1,1,1,1] => [1,4] => 0

[[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,1,-1,0,1],[0,1,0,-1,1,0,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 0

[[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,1,0,-1,0,1,0],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 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],[0,0,1,0,0,0,0],[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] => [4,1,1,1] => [1,3] => 0

[[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,0,-1,0,1],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 0

[[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,-1,1],[0,1,-1,1,-1,1,0],[0,0,1,-1,1,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 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] => [4,1,1,1] => [1,3] => 0

[[0,0,0,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1],[0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 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] => [4,1,1,1] => [1,3] => 0

[[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,-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] => [3,1,1,1,1] => [1,4] => 0

[[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,0,-1,0,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 0

[[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,-1,1,0],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 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],[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] => [4,1,1,1] => [1,3] => 0

[[0,0,0,0,1,0,0],[0,0,1,0,-1,1,0],[0,1,-1,1,0,-1,1],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 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] => [4,1,1,1] => [1,3] => 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] => [3,1,1,1,1] => [1,4] => 0

[[0,0,0,0,1,0,0],[0,1,0,0,-1,1,0],[0,0,1,0,0,-1,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[1,-1,0,0,0,1,0],[0,1,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 0

[[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] => [4,1,1,1] => [1,3] => 0

[[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,1,-1,0,1],[0,0,1,-1,1,0,0],[1,0,-1,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 0

[[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,1,-1,0,1,0],[1,0,-1,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 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] => [4,1,1,1] => [1,3] => 0

[[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,0,-1,0,1],[0,0,0,1,0,0,0],[1,0,-1,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 0

[[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,-1,1,0],[1,0,-1,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 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] => [4,1,1,1] => [1,3] => 0

[[0,0,0,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1],[0,0,0,0,1,0,0],[1,0,-1,0,0,1,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 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] => [4,1,1,1] => [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],[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] => [3,1,1,1,1] => [1,4] => 0

[[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,1,-1,0,1],[0,1,0,-1,1,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 0

[[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,1,0,-1,0,1,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 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],[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] => [4,1,1,1] => [1,3] => 0

[[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,0,-1,0,1],[0,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 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] => [4,1,1,1] => [1,3] => 0

[[0,0,0,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1],[0,1,-1,0,1,0,0],[1,-1,1,-1,0,1,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 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] => [4,1,1,1] => [1,3] => 0

[[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,1,-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] => [3,1,1,1,1] => [1,4] => 0

[[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,0,-1,0,1],[0,0,1,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 0

[[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,-1,1,0],[1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 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],[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] => [4,1,1,1] => [1,3] => 0

[[0,0,0,0,1,0,0],[0,0,1,0,-1,1,0],[0,1,-1,1,0,-1,1],[0,0,1,-1,1,0,0],[1,-1,0,1,-1,1,0],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 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] => [4,1,1,1] => [1,3] => 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] => [3,1,1,1,1] => [1,4] => 0

[[0,0,0,0,1,0,0],[0,1,0,0,-1,1,0],[0,0,1,0,0,-1,1],[0,0,0,1,0,0,0],[1,-1,0,0,1,0,0],[0,1,-1,0,0,1,0],[0,0,1,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 0

[[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] => [4,1,1,1] => [1,3] => 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] => [3,1,1,1,1] => [1,4] => 0

[[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,1,-1,0,1],[1,0,0,-1,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 0

[[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[1,0,0,-1,0,1,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 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],[0,1,0,0,0,0,0],[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] => [4,1,1,1] => [1,3] => 0

[[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,1,0,-1,0,1],[1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 0

[[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,-1,1],[1,0,-1,1,-1,1,0],[0,1,0,-1,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 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] => [4,1,1,1] => [1,3] => 0

[[0,0,0,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,-1,1],[1,0,-1,0,1,0,0],[0,1,0,-1,0,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 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] => [4,1,1,1] => [1,3] => 0

[[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[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] => [3,1,1,1,1] => [1,4] => 0

[[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,1,0,0,-1,0,1],[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]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 0

[[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,1,0,-1,1,-1,1],[1,-1,1,0,-1,1,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 0

[[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] => [4,1,1,1] => [1,3] => 0

[[0,0,0,0,1,0,0],[0,0,1,0,-1,1,0],[0,1,-1,1,0,-1,1],[1,-1,1,-1,1,0,0],[0,1,-1,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 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] => [3,1,1,1,1] => [1,4] => 0

[[0,0,0,0,1,0,0],[0,1,0,0,-1,1,0],[0,0,1,0,0,-1,1],[1,-1,0,1,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 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,-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] => [4,1,1,1] => [1,3] => 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] => [3,1,1,1,1] => [1,4] => 0

[[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[1,0,0,0,-1,0,1],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 0

[[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[1,0,0,-1,1,-1,1],[0,1,0,0,-1,1,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 0

[[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] => [4,1,1,1] => [1,3] => 0

[[0,0,0,0,1,0,0],[0,0,1,0,-1,1,0],[1,0,-1,1,0,-1,1],[0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 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] => [4,1,1,1] => [1,3] => 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] => [3,1,1,1,1] => [1,4] => 0

[[0,0,0,0,1,0,0],[0,1,0,0,-1,1,0],[1,-1,1,0,0,-1,1],[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]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 0

[[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] => [4,1,1,1] => [1,3] => 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],[1,0,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1,1] => [1,4] => 0

[[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] => [4,1,1,1] => [1,3] => 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] => [3,1,1,1,1] => [1,4] => 0

[[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] => [3,1,1,1,1,1] => [1,5] => 0

[[0,0,0,0,1,0,0],[0,1,0,0,-1,1,0],[0,0,1,0,0,-1,1],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 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],[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] => [4,1,1,1] => [1,3] => 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] => [4,1,1,1,1] => [1,4] => 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],[1,0,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1,1] => [1,4] => 0

[[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] => [3,1,1,1,1,1] => [1,5] => 0

[[0,0,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,1,0],[1,0,0,0,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1,1,1,1] => [1,6] => 0

[[0,0,0,0,1,0,0],[0,0,1,0,-1,1,0],[0,1,-1,1,0,-1,1],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 0

[[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] => [5,1,1,1] => [1,3] => 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] => [4,1,1,1] => [1,3] => 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] => [4,1,1,1] => [1,3] => 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] => [4,1,1,1,1] => [1,4] => 0

[[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] => [4,1,1,1,1,1] => [1,5] => 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],[1,0,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1,1] => [1,4] => 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],[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] => [3,1,1,1,1,1] => [1,5] => 0

[[0,0,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,1,-1,0,1,0,0,0,0],[0,0,1,-1,0,1,0,0,0],[0,0,0,1,-1,0,1,0,0],[0,0,0,0,1,-1,0,1,0],[0,0,0,0,0,1,-1,0,1],[0,0,0,0,0,0,1,0,0],[1,0,0,0,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1,1,1,1] => [1,6] => 0

[[0,0,1,0,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0,0],[0,0,0,1,-1,1,0,0,0,0],[0,0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,0,0,1,0],[1,0,0,0,0,0,0,0,0,0]] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1,1,1,1,1] => [1,7] => 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],[0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0],[1,0,0,0,0,0,0,0]] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [6,1,1] => [1,2] => 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],[0,0,0,0,0,1,0,0,0],[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],[1,0,0,0,0,0,0,0,0]] => [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [7,1,1] => [1,2] => 0

[[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] => [2,1,1,1,1,1] => [1,5] => 0

[[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] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,0,1,0],[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] => [2,1,1,1,1,1] => [1,5] => 0

[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1] => [1,6] => 0

[[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] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,1,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1] => [1,6] => 0

[[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] => [2,1,1,1,1,1] => [1,5] => 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],[0,1,0,0,0,0,0],[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] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,0,1,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,1,1,1,1,1,1] => [1,6] => 0

[[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] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,0,0,1,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1,1] => [1,6] => 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],[0,0,0,0,0,0,0,1],[0,0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1,1] => [1,6] => 0

[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0],[0,1,0,0,0,0,0,0,0],[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]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1] => [1,7] => 0

[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,1,-1,0,1,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1] => [1,6] => 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],[1,0,0,0,0,0,0,0],[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]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1] => [1,6] => 0

[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,0,0],[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]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1] => [1,7] => 0

[[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] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,1,0,0,0,0],[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] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,1,0,0,0],[0,0,1,-1,0,1,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,1,1,1,1,1,1] => [1,6] => 0

[[0,1,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,1,0,0,0,0,0,0],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1] => [1,6] => 0

[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,0,0,1,0,0,0],[0,0,0,1,0,0,0,0,0],[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]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1] => [1,7] => 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],[0,1,0,-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] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,0,1,0,0],[0,0,0,1,-1,0,1,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1,1] => [1,6] => 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],[0,1,0,0,0,0,0],[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] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,1,0,0,0],[0,0,0,0,0,1,0,0],[0,0,1,0,0,0,0,0],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,1,1,1,1,1,1] => [1,6] => 0

[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,0,0,1,0,0],[0,0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,1,1,1,1,1,1,1] => [1,7] => 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],[0,0,0,0,0,0,1,0],[0,0,0,0,1,-1,0,1],[0,0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1,1] => [1,6] => 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],[0,1,-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] => [2,1,1,1,1,1] => [1,5] => 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],[0,0,0,0,0,1,0,0],[0,0,0,0,0,0,1,0],[0,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1,1] => [1,6] => 0

[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,0,0,1,0],[0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,0,1]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1,1,1] => [1,7] => 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],[0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1],[0,0,0,0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1,1] => [1,6] => 0

[[0,1,0,0,0,0,0,0,0],[1,-1,1,0,0,0,0,0,0],[0,1,-1,1,0,0,0,0,0],[0,0,1,-1,1,0,0,0,0],[0,0,0,1,-1,1,0,0,0],[0,0,0,0,1,-1,1,0,0],[0,0,0,0,0,1,-1,1,0],[0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1,1,1] => [1,7] => 0

[[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 0

[[0,0,0,0,0,1,0,0],[0,0,0,0,1,-1,1,0],[0,0,0,0,0,1,-1,1],[0,0,0,0,0,0,1,0],[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]] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [6,1,1] => [1,2] => 0

[[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,-1,1,0],[0,0,0,0,1,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [1,2] => 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],[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] => [4,1,1,1] => [1,3] => 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] => [4,1,1,1] => [1,3] => 0

search for individual values

searching the database for the individual values of this statistic

Description

The coefficient of the integer composition in the quasisymmetric expansion of the relabelling action of the symmetric group on cycles.

Map

delta morphism

Description

Apply the delta morphism to an integer composition.
The delta morphism of a composition

$C$ is the compositions composed of the lengths of consecutive runs of the same integer in

$C$ .

Map

rise composition

Description

Send a Dyck path to the composition of sizes of its rises.

Map

to Dyck path

Description

The Dyck path determined by the last diagonal of the monotone triangle of an alternating sign matrix.