- FindStat

Identifier

Mp00002: Alternating sign matrices —to left key permutation⟶ Permutations
Mp00241: Permutations —invert Laguerre heap⟶ Permutations
Mp00160: Permutations —graph of inversions⟶ Graphs
St000454: Graphs ⟶ ℤ

Values

[[1]] => [1] => [1] => ([],1) => 0

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[[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]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(3,4)],5) => 1

[[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]] => [1,3,2,4,5] => [1,3,2,4,5] => ([(3,4)],5) => 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]] => [1,3,2,4,5] => [1,3,2,4,5] => ([(3,4)],5) => 1

[[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]] => [3,2,1,4,5] => [3,2,1,4,5] => ([(2,3),(2,4),(3,4)],5) => 2

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

[[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]] => [1,2,4,3,5] => [1,2,4,3,5] => ([(3,4)],5) => 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]] => [1,2,4,3,5] => [1,2,4,3,5] => ([(3,4)],5) => 1

[[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]] => [2,1,4,3,5] => [2,1,4,3,5] => ([(1,4),(2,3)],5) => 1

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

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

[[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]] => [2,4,1,3,5] => [3,4,1,2,5] => ([(1,3),(1,4),(2,3),(2,4)],5) => 2

[[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]] => [1,4,3,2,5] => [1,4,3,2,5] => ([(2,3),(2,4),(3,4)],5) => 2

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

[[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]] => [1,4,3,2,5] => [1,4,3,2,5] => ([(2,3),(2,4),(3,4)],5) => 2

[[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]] => [1,4,3,2,5] => [1,4,3,2,5] => ([(2,3),(2,4),(3,4)],5) => 2

[[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]] => [1,4,3,2,5] => [1,4,3,2,5] => ([(2,3),(2,4),(3,4)],5) => 2

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

[[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]] => [1,2,3,5,4] => [1,2,3,5,4] => ([(3,4)],5) => 1

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

[[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]] => [1,3,2,5,4] => [1,3,2,5,4] => ([(1,4),(2,3)],5) => 1

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

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

[[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]] => [1,2,3,5,4] => [1,2,3,5,4] => ([(3,4)],5) => 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]] => [1,2,3,5,4] => [1,2,3,5,4] => ([(3,4)],5) => 1

[[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]] => [2,1,3,5,4] => [2,1,3,5,4] => ([(1,4),(2,3)],5) => 1

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

[[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]] => [2,1,3,5,4] => [2,1,3,5,4] => ([(1,4),(2,3)],5) => 1

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

[[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]] => [1,3,2,5,4] => [1,3,2,5,4] => ([(1,4),(2,3)],5) => 1

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

[[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]] => [1,3,2,5,4] => [1,3,2,5,4] => ([(1,4),(2,3)],5) => 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]] => [1,3,2,5,4] => [1,3,2,5,4] => ([(1,4),(2,3)],5) => 1

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

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

[[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]] => [1,3,2,5,4] => [1,3,2,5,4] => ([(1,4),(2,3)],5) => 1

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

[[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]] => [1,3,2,5,4] => [1,3,2,5,4] => ([(1,4),(2,3)],5) => 1

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

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

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

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

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

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

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

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

[[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]] => [1,3,5,2,4] => [1,4,5,2,3] => ([(1,3),(1,4),(2,3),(2,4)],5) => 2

[[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]] => [1,3,5,2,4] => [1,4,5,2,3] => ([(1,3),(1,4),(2,3),(2,4)],5) => 2

[[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]] => [1,3,5,2,4] => [1,4,5,2,3] => ([(1,3),(1,4),(2,3),(2,4)],5) => 2

[[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]] => [1,3,5,2,4] => [1,4,5,2,3] => ([(1,3),(1,4),(2,3),(2,4)],5) => 2

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

[[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]] => [1,3,5,2,4] => [1,4,5,2,3] => ([(1,3),(1,4),(2,3),(2,4)],5) => 2

[[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]] => [1,3,5,2,4] => [1,4,5,2,3] => ([(1,3),(1,4),(2,3),(2,4)],5) => 2

[[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]] => [1,3,5,2,4] => [1,4,5,2,3] => ([(1,3),(1,4),(2,3),(2,4)],5) => 2

[[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]] => [1,2,5,4,3] => [1,2,5,4,3] => ([(2,3),(2,4),(3,4)],5) => 2

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

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

[[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]] => [1,2,5,4,3] => [1,2,5,4,3] => ([(2,3),(2,4),(3,4)],5) => 2

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

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

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

[[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]] => [1,2,5,4,3] => [1,2,5,4,3] => ([(2,3),(2,4),(3,4)],5) => 2

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

[[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]] => [1,2,5,4,3] => [1,2,5,4,3] => ([(2,3),(2,4),(3,4)],5) => 2

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

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

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

>>> Load all 1822 entries. <<<

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

[[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]] => [1,2,5,4,3] => [1,2,5,4,3] => ([(2,3),(2,4),(3,4)],5) => 2

[[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]] => [1,2,5,4,3] => [1,2,5,4,3] => ([(2,3),(2,4),(3,4)],5) => 2

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

[[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]] => [1,2,5,4,3] => [1,2,5,4,3] => ([(2,3),(2,4),(3,4)],5) => 2

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

[[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]] => [1,2,5,4,3] => [1,2,5,4,3] => ([(2,3),(2,4),(3,4)],5) => 2

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

[[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]] => [1,2,5,4,3] => [1,2,5,4,3] => ([(2,3),(2,4),(3,4)],5) => 2

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

[[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]] => [1,2,5,4,3] => [1,2,5,4,3] => ([(2,3),(2,4),(3,4)],5) => 2

[[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]] => [1,2,5,4,3] => [1,2,5,4,3] => ([(2,3),(2,4),(3,4)],5) => 2

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[[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]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6) => 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],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => ([(4,5)],6) => 1

[[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]] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => ([(4,5)],6) => 1

[[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]] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => ([(4,5)],6) => 1

[[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]] => [3,2,1,4,5,6] => [3,2,1,4,5,6] => ([(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => ([(4,5)],6) => 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],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [2,1,4,3,5,6] => [2,1,4,3,5,6] => ([(2,5),(3,4)],6) => 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]] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => ([(4,5)],6) => 1

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => ([(4,5)],6) => 1

[[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]] => [2,1,4,3,5,6] => [2,1,4,3,5,6] => ([(2,5),(3,4)],6) => 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],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [2,1,4,3,5,6] => [2,1,4,3,5,6] => ([(2,5),(3,4)],6) => 1

[[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]] => [2,1,4,3,5,6] => [2,1,4,3,5,6] => ([(2,5),(3,4)],6) => 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],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [2,4,1,3,5,6] => [3,4,1,2,5,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [2,4,1,3,5,6] => [3,4,1,2,5,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [1,4,3,2,5,6] => [1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,5,6] => [1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,5,6] => [1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,5,6] => [1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,5,6] => [1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6) => 2

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [4,3,2,1,5,6] => [4,3,2,1,5,6] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => ([(4,5)],6) => 1

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [2,1,3,5,4,6] => [2,1,3,5,4,6] => ([(2,5),(3,4)],6) => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6) => 1

[[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]] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6) => 1

[[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]] => [3,2,1,5,4,6] => [3,2,1,5,4,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => ([(4,5)],6) => 1

[[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]] => [2,1,3,5,4,6] => [2,1,3,5,4,6] => ([(2,5),(3,4)],6) => 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]] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => ([(4,5)],6) => 1

[[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]] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => ([(4,5)],6) => 1

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [2,1,3,5,4,6] => [2,1,3,5,4,6] => ([(2,5),(3,4)],6) => 1

[[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]] => [2,1,3,5,4,6] => [2,1,3,5,4,6] => ([(2,5),(3,4)],6) => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [2,1,3,5,4,6] => [2,1,3,5,4,6] => ([(2,5),(3,4)],6) => 1

[[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]] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6) => 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]] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6) => 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]] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6) => 1

[[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]] => [3,2,1,5,4,6] => [3,2,1,5,4,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6) => 1

[[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]] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6) => 1

[[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]] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6) => 1

[[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]] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6) => 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]] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6) => 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]] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6) => 1

[[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]] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6) => 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]] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6) => 1

[[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]] => [3,2,1,5,4,6] => [3,2,1,5,4,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [3,2,1,5,4,6] => [3,2,1,5,4,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [3,2,1,5,4,6] => [3,2,1,5,4,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [3,2,1,5,4,6] => [3,2,1,5,4,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [3,2,1,5,4,6] => [3,2,1,5,4,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [3,2,1,5,4,6] => [3,2,1,5,4,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [5,1,2,3,4,6] => [2,3,4,5,1,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [5,2,1,3,4,6] => [3,4,5,2,1,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,3,5,2,4,6] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 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]] => [1,3,5,2,4,6] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,3,5,2,4,6] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,3,5,2,4,6] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,3,5,2,4,6] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [1,3,5,2,4,6] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [1,3,5,2,4,6] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [1,3,5,2,4,6] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 2

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,2,5,4,3,6] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,5,4,3,6] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,2,5,4,3,6] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => 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]] => [1,2,5,4,3,6] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,5,4,3,6] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [2,1,5,4,3,6] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,5,4,3,6] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,2,5,4,3,6] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,2,5,4,3,6] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,2,5,4,3,6] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,5,4,3,6] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,5,4,3,6] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,5,4,3,6] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,5,4,3,6] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,2,5,4,3,6] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => 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]] => [1,2,5,4,3,6] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,5,4,3,6] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,2,5,4,3,6] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,5,4,3,6] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,2,5,4,3,6] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [1,2,5,4,3,6] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,2,5,4,3,6] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,5,4,3,6] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,2,5,4,3,6] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,2,5,4,3,6] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,5,4,3,6] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,5,4,3,6] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,5,4,3,6] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,5,4,3,6] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,5,4,3,6] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1]] => [2,1,5,4,3,6] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,5,4,3,6] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,5,4,3,6] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,5,4,3,6] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,5,4,3,6] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [4,1,3,5,2,6] => [5,2,3,4,1,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [4,1,3,5,2,6] => [5,2,3,4,1,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [4,1,3,5,2,6] => [5,2,3,4,1,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,5,4,3,2,6] => [1,5,4,3,2,6] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1]] => [1,5,4,3,2,6] => [1,5,4,3,2,6] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,5,4,3,2,6] => [1,5,4,3,2,6] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,5,4,3,2,6] => [1,5,4,3,2,6] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,5,4,3,2,6] => [1,5,4,3,2,6] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,5,4,3,2,6] => [1,5,4,3,2,6] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,5,4,3,2,6] => [1,5,4,3,2,6] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,5,4,3,2,6] => [1,5,4,3,2,6] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,5,4,3,2,6] => [1,5,4,3,2,6] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,5,4,3,2,6] => [1,5,4,3,2,6] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,5,4,3,2,6] => [1,5,4,3,2,6] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,5,4,3,2,6] => [1,5,4,3,2,6] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,5,4,3,2,6] => [1,5,4,3,2,6] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,5,4,3,2,6] => [1,5,4,3,2,6] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,3,4,5,1,6] => [5,1,2,3,4,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [2,3,5,4,1,6] => [5,4,1,2,3,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,3,5,4,1,6] => [5,4,1,2,3,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [2,3,5,4,1,6] => [5,4,1,2,3,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 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],[1,0,0,0,0,0],[0,0,0,0,0,1]] => [5,4,3,2,1,6] => [5,4,3,2,1,6] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[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]] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => ([(4,5)],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],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [2,1,3,4,6,5] => [2,1,3,4,6,5] => ([(2,5),(3,4)],6) => 1

[[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]] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => 1

[[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]] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => 1

[[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]] => [3,2,1,4,6,5] => [3,2,1,4,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 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]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 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]] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 1

[[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 1

[[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]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 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]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 1

[[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]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 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]] => [2,4,1,3,6,5] => [3,4,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [2,4,1,3,6,5] => [3,4,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [4,3,2,1,6,5] => [4,3,2,1,6,5] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => ([(4,5)],6) => 1

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [2,1,3,4,6,5] => [2,1,3,4,6,5] => ([(2,5),(3,4)],6) => 1

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => 1

[[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]] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => 1

[[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]] => [3,2,1,4,6,5] => [3,2,1,4,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => ([(4,5)],6) => 1

[[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]] => [2,1,3,4,6,5] => [2,1,3,4,6,5] => ([(2,5),(3,4)],6) => 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]] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => ([(4,5)],6) => 1

[[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]] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => ([(4,5)],6) => 1

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [2,1,3,4,6,5] => [2,1,3,4,6,5] => ([(2,5),(3,4)],6) => 1

[[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]] => [2,1,3,4,6,5] => [2,1,3,4,6,5] => ([(2,5),(3,4)],6) => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [2,1,3,4,6,5] => [2,1,3,4,6,5] => ([(2,5),(3,4)],6) => 1

[[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]] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => 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]] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => 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]] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => 1

[[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]] => [3,2,1,4,6,5] => [3,2,1,4,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => 1

[[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]] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => 1

[[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]] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => 1

[[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]] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => 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]] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => 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]] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => 1

[[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]] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => 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]] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => 1

[[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]] => [3,2,1,4,6,5] => [3,2,1,4,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [3,2,1,4,6,5] => [3,2,1,4,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [3,2,1,4,6,5] => [3,2,1,4,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [3,2,1,4,6,5] => [3,2,1,4,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [3,2,1,4,6,5] => [3,2,1,4,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [3,2,1,4,6,5] => [3,2,1,4,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 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]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 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]] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 1

[[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]] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 1

[[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]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 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]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 1

[[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]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 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]] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 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]] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 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]] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 1

[[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]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 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]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 1

[[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]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [2,4,1,3,6,5] => [3,4,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [2,4,1,3,6,5] => [3,4,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [2,4,1,3,6,5] => [3,4,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [4,3,2,1,6,5] => [4,3,2,1,6,5] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 1

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 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]] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 1

[[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]] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 1

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 1

[[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]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [2,4,1,3,6,5] => [3,4,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [2,4,1,3,6,5] => [3,4,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 1

[[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]] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 1

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 1

[[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]] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 1

[[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]] => [2,4,1,3,6,5] => [3,4,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 1

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 1

[[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]] => [2,4,1,3,6,5] => [3,4,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [2,4,1,3,6,5] => [3,4,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [2,4,1,3,6,5] => [3,4,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 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]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 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]] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 1

[[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]] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 1

[[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]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 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]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 1

[[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]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 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]] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 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]] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 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]] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 1

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 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]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 1

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [2,4,1,3,6,5] => [3,4,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [2,4,1,3,6,5] => [3,4,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [2,4,1,3,6,5] => [3,4,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 1

[[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]] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 1

[[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]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 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]] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 1

[[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]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 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]] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 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]] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 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]] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 1

[[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]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 1

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 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]] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 1

[[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]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 1

[[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]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 1

[[0,0,1,0,0,0],[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [2,4,1,3,6,5] => [3,4,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [2,4,1,3,6,5] => [3,4,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 1

[[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]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 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]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 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]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 1

[[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]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 1

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 1

[[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]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 1

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [2,4,1,3,6,5] => [3,4,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [2,4,1,3,6,5] => [3,4,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [2,4,1,3,6,5] => [3,4,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [2,4,1,3,6,5] => [3,4,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [2,4,1,3,6,5] => [3,4,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [4,3,2,1,6,5] => [4,3,2,1,6,5] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0]] => [4,3,2,1,6,5] => [4,3,2,1,6,5] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [4,3,2,1,6,5] => [4,3,2,1,6,5] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [4,3,2,1,6,5] => [4,3,2,1,6,5] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [4,3,2,1,6,5] => [4,3,2,1,6,5] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0]] => [4,3,2,1,6,5] => [4,3,2,1,6,5] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [4,3,2,1,6,5] => [4,3,2,1,6,5] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 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],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [4,3,2,1,6,5] => [4,3,2,1,6,5] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [4,3,2,1,6,5] => [4,3,2,1,6,5] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 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],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [4,3,2,1,6,5] => [4,3,2,1,6,5] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [4,3,2,1,6,5] => [4,3,2,1,6,5] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 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],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [4,3,2,1,6,5] => [4,3,2,1,6,5] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [4,3,2,1,6,5] => [4,3,2,1,6,5] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 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],[1,0,0,0,-1,1],[0,0,0,0,1,0]] => [4,3,2,1,6,5] => [4,3,2,1,6,5] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [3,2,1,6,4,5] => [3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [3,2,1,6,4,5] => [3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [3,2,1,6,4,5] => [3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [3,2,1,6,4,5] => [3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 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]] => [3,2,1,6,4,5] => [3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [3,2,1,6,4,5] => [3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [3,2,1,6,4,5] => [3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [3,2,1,6,4,5] => [3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [3,2,1,6,4,5] => [3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,2,1,6,4,5] => [3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,2,1,6,4,5] => [3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [3,2,1,6,4,5] => [3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,2,1,6,4,5] => [3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,2,1,6,4,5] => [3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,2,1,6,4,5] => [3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,2,1,6,4,5] => [3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [3,2,1,6,4,5] => [3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,2,1,6,4,5] => [3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,2,1,6,4,5] => [3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [3,2,1,6,4,5] => [3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,6,2,3,4,5] => [1,3,4,5,6,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,6,2,3,4,5] => [1,3,4,5,6,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,6,2,3,4,5] => [1,3,4,5,6,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,6,2,3,4,5] => [1,3,4,5,6,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,6,2,3,4,5] => [1,3,4,5,6,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,6,3,2,4,5] => [1,4,5,6,3,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,6,3,2,4,5] => [1,4,5,6,3,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,6,3,2,4,5] => [1,4,5,6,3,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,6,3,2,4,5] => [1,4,5,6,3,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,6,3,2,4,5] => [1,4,5,6,3,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,6,3,2,4,5] => [1,4,5,6,3,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,6,3,2,4,5] => [1,4,5,6,3,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,6,3,2,4,5] => [1,4,5,6,3,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,6,3,2,4,5] => [1,4,5,6,3,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,3,6,1,4,5] => [4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3

[[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]] => [2,3,6,1,4,5] => [4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [2,3,6,1,4,5] => [4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3

[[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]] => [2,3,6,1,4,5] => [4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3

[[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]] => [2,3,6,1,4,5] => [4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3

[[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]] => [2,3,6,1,4,5] => [4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3

[[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]] => [1,2,4,6,3,5] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [2,1,4,6,3,5] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [1,2,4,6,3,5] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [1,2,4,6,3,5] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => 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]] => [2,1,4,6,3,5] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [2,1,4,6,3,5] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 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]] => [2,1,4,6,3,5] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [2,4,1,6,3,5] => [5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4

[[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]] => [2,4,1,6,3,5] => [5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4

[[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]] => [1,2,4,6,3,5] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [1,2,4,6,3,5] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => 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]] => [2,1,4,6,3,5] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [1,2,4,6,3,5] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => 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]] => [2,1,4,6,3,5] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [2,4,1,6,3,5] => [5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4

[[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]] => [2,1,4,6,3,5] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 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]] => [2,1,4,6,3,5] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [2,4,1,6,3,5] => [5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4

[[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]] => [2,4,1,6,3,5] => [5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4

[[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]] => [2,4,1,6,3,5] => [5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4

[[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]] => [1,2,4,6,3,5] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [2,1,4,6,3,5] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [1,2,4,6,3,5] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => 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]] => [1,2,4,6,3,5] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [2,1,4,6,3,5] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [2,1,4,6,3,5] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [2,1,4,6,3,5] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,2,4,6,3,5] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,2,4,6,3,5] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [1,2,4,6,3,5] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [2,1,4,6,3,5] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [2,1,4,6,3,5] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [2,1,4,6,3,5] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [2,1,4,6,3,5] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [2,4,1,6,3,5] => [5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4

[[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]] => [2,4,1,6,3,5] => [5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4

[[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]] => [2,4,1,6,3,5] => [5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4

[[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]] => [1,2,4,6,3,5] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => 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]] => [1,2,4,6,3,5] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [2,1,4,6,3,5] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,2,4,6,3,5] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [2,1,4,6,3,5] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,2,4,6,3,5] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [1,2,4,6,3,5] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [1,2,4,6,3,5] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [2,1,4,6,3,5] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [1,2,4,6,3,5] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [1,2,4,6,3,5] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [2,1,4,6,3,5] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [2,1,4,6,3,5] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [2,1,4,6,3,5] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [2,4,1,6,3,5] => [5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4

[[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]] => [2,4,1,6,3,5] => [5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4

[[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]] => [2,1,4,6,3,5] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [2,1,4,6,3,5] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,0,0,0],[0,0,0,0,1,0]] => [2,1,4,6,3,5] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [2,1,4,6,3,5] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [2,1,4,6,3,5] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [2,1,4,6,3,5] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [2,1,4,6,3,5] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 2

[[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]] => [2,4,1,6,3,5] => [5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4

[[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]] => [2,4,1,6,3,5] => [5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4

[[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]] => [2,4,1,6,3,5] => [5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4

[[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]] => [2,4,1,6,3,5] => [5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4

[[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]] => [2,4,1,6,3,5] => [5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4

[[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]] => [2,4,1,6,3,5] => [5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4

[[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]] => [2,4,1,6,3,5] => [5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4

[[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]] => [2,4,1,6,3,5] => [5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4

[[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]] => [2,4,1,6,3,5] => [5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4

[[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]] => [2,4,1,6,3,5] => [5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4

[[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]] => [2,4,1,6,3,5] => [5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4

[[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]] => [2,4,1,6,3,5] => [5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4

[[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]] => [2,4,1,6,3,5] => [5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [2,6,3,4,1,5] => [4,1,2,5,6,3] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [2,6,3,4,1,5] => [4,1,2,5,6,3] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [2,6,3,4,1,5] => [4,1,2,5,6,3] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0]] => [2,6,3,4,1,5] => [4,1,2,5,6,3] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2

[[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]] => [3,2,1,5,6,4] => [3,2,1,6,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,2,1,5,6,4] => [3,2,1,6,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [3,2,1,5,6,4] => [3,2,1,6,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,2,1,5,6,4] => [3,2,1,6,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,2,1,5,6,4] => [3,2,1,6,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,2,1,5,6,4] => [3,2,1,6,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,1,0],[0,0,0,0,0,1],[0,0,0,1,0,0]] => [3,2,1,5,6,4] => [3,2,1,6,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,2,1,5,6,4] => [3,2,1,6,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,2,1,5,6,4] => [3,2,1,6,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,2,1,5,6,4] => [3,2,1,6,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,2,1,5,6,4] => [3,2,1,6,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,2,1,5,6,4] => [3,2,1,6,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [3,2,1,5,6,4] => [3,2,1,6,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,2,1,5,6,4] => [3,2,1,6,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,-1,0,1],[0,0,0,1,0,0]] => [3,2,1,5,6,4] => [3,2,1,6,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,2,1,5,6,4] => [3,2,1,6,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,2,1,5,6,4] => [3,2,1,6,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,2,1,5,6,4] => [3,2,1,6,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[1,0,0,-1,0,1],[0,0,0,1,0,0]] => [3,2,1,5,6,4] => [3,2,1,6,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,2,1,5,6,4] => [3,2,1,6,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [1,2,3,6,5,4] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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]] => [1,2,3,6,5,4] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,2,3,6,5,4] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,2,3,6,5,4] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 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]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 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]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 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]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 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]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 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]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,2,3,6,5,4] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,2,3,6,5,4] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 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]] => [1,2,3,6,5,4] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,2,3,6,5,4] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,2,3,6,5,4] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,2,3,6,5,4] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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],[0,0,0,1,0,0]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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],[0,0,0,1,0,0]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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],[0,0,0,1,0,0]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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]] => [1,2,3,6,5,4] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,2,3,6,5,4] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,2,3,6,5,4] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 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]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 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]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,2,3,6,5,4] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,2,3,6,5,4] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 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]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,2,3,6,5,4] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 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]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 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]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,2,3,6,5,4] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,2,3,6,5,4] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 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]] => [1,2,3,6,5,4] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,2,3,6,5,4] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,2,3,6,5,4] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,2,3,6,5,4] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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]] => [1,2,3,6,5,4] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 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]] => [1,2,3,6,5,4] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,2,3,6,5,4] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,2,3,6,5,4] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,2,3,6,5,4] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,2,3,6,5,4] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,2,3,6,5,4] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,2,3,6,5,4] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 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]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 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]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 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]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[1,-1,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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,-1,1,0],[0,0,0,1,0,0]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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,-1,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,1,0,0,0],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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,-1,1,0],[0,0,0,1,0,0]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[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]] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [3,1,2,6,5,4] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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,-1,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 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],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 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]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 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],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 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],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,1,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 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],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[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]] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 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],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 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],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 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],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0]] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2

[[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]] => [1,5,2,4,6,3] => [1,6,3,4,5,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,5,2,4,6,3] => [1,6,3,4,5,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,5,2,4,6,3] => [1,6,3,4,5,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,5,2,4,6,3] => [1,6,3,4,5,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,5,2,4,6,3] => [1,6,3,4,5,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,0,0,0]] => [1,5,2,4,6,3] => [1,6,3,4,5,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,5,2,4,6,3] => [1,6,3,4,5,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,5,2,4,6,3] => [1,6,3,4,5,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,5,2,4,6,3] => [1,6,3,4,5,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,5,2,4,6,3] => [1,6,3,4,5,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,5,2,4,6,3] => [1,6,3,4,5,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,5,2,4,6,3] => [1,6,3,4,5,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,1,-1,0,0,1],[0,0,1,0,0,0]] => [1,5,2,4,6,3] => [1,6,3,4,5,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,5,2,4,6,3] => [1,6,3,4,5,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,5,2,4,6,3] => [1,6,3,4,5,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,5,2,4,6,3] => [1,6,3,4,5,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,5,2,4,6,3] => [1,6,3,4,5,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,5,2,4,6,3] => [1,6,3,4,5,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,5,2,4,6,3] => [1,6,3,4,5,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,5,2,4,6,3] => [1,6,3,4,5,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,5,2,4,6,3] => [1,6,3,4,5,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,0,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,1,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,0,0,-1,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,1,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,0,0,-1,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,1,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,1,0,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,0,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,1,0,0],[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,1,0,0,0,0],[1,-1,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,0,1,0],[1,0,0,0,0,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,0,1,0],[0,1,0,0,0,0],[1,-1,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,0,1,0],[0,0,1,0,0,0],[1,0,-1,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,0,1,0],[0,0,0,1,0,0],[1,0,0,0,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,0,1,0],[0,1,0,0,0,0],[0,0,0,1,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,1,-1,1,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,1,0,0,-1,1],[1,-1,1,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,-1,1],[1,0,0,-1,1,0],[0,1,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 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],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 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],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,1,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 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],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 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],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 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],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 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],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 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],[1,0,-1,1,0,0],[0,0,1,0,0,0]] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [4,5,6,1,2,3] => [2,3,6,1,4,5] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2

[[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]] => [1,3,4,5,6,2] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 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]] => [1,3,4,5,6,2] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2

[[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]] => [1,3,4,5,6,2] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2

[[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[1,-1,0,0,1,0],[0,0,0,0,0,1],[0,1,0,0,0,0]] => [1,3,4,5,6,2] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 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],[1,-1,0,0,0,1],[0,1,0,0,0,0]] => [1,3,4,5,6,2] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2

[[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]] => [1,3,4,6,5,2] => [1,6,5,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,3,4,6,5,2] => [1,6,5,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,3,4,6,5,2] => [1,6,5,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,3,4,6,5,2] => [1,6,5,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,3,4,6,5,2] => [1,6,5,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,3,4,6,5,2] => [1,6,5,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,3,4,6,5,2] => [1,6,5,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,3,4,6,5,2] => [1,6,5,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,3,4,6,5,2] => [1,6,5,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,3,4,6,5,2] => [1,6,5,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,3,4,6,5,2] => [1,6,5,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[1,-1,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,3,4,6,5,2] => [1,6,5,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,3,4,6,5,2] => [1,6,5,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,3,4,6,5,2] => [1,6,5,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[1,-1,0,1,-1,1],[0,0,0,0,1,0],[0,1,0,0,0,0]] => [1,3,4,6,5,2] => [1,6,5,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,3,4,6,5,2] => [1,6,5,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,3,4,6,5,2] => [1,6,5,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[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]] => [1,3,4,6,5,2] => [1,6,5,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[1,-1,0,0,1,0],[0,1,0,0,0,0]] => [1,3,4,6,5,2] => [1,6,5,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[[1,0,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[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],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[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],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[0,1,0,0,0,0],[0,0,0,0,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[1,-1,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[0,0,1,0,0,0],[0,0,0,0,0,1],[1,0,-1,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[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],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[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],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[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],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[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],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[0,0,0,1,0,0],[0,1,0,-1,0,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[0,0,0,0,1,0],[0,1,0,0,-1,1],[0,0,0,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,1,0,-1,1,0],[1,-1,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[1,0,-1,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[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],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[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],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[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],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[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],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[0,1,0,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[0,0,1,0,0,0],[0,1,-1,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[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,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[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,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,1,-1,0,1,0],[0,0,0,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[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,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[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,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[0,0,0,1,0,0],[0,0,1,-1,0,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[0,0,0,0,1,0],[0,0,1,0,-1,1],[0,0,0,0,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,1,-1,1,0],[0,1,-1,1,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0]] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[[0,0,0,0,0,1],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[1,0,0,0,0,0]] => [6,5,4,3,2,1] => [6,5,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 5

[[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]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7) => 0

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(5,6)],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],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],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],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(5,6)],7) => 1

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7) => 1

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7) => 1

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(5,6)],7) => 1

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7) => 1

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 1

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => 1

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 1

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7) => 1

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7) => 1

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(5,6)],7) => 1

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => 1

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 1

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,7,3,4,5,6] => [1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[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]] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7) => 1

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => 1

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => 1

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => 1

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => 1

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => 1

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => 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],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7) => 1

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 1

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => 1

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 1

[[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],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7) => 1

[[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],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1

[[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],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7) => 1

[[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]] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(5,6)],7) => 1

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => 1

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 1

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,0,0,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,7,3,4,5,6] => [1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => 1

[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-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]] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => 1

[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-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]] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => 1

[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[1,0,0,0,0,0,0],[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,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => 1

[[1,0,0,0,0,0,0],[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,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 1

[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1

[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,-1,0,0,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,7,3,4,5,6] => [1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[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],[0,0,0,0,0,1,0]] => [1,2,7,3,4,5,6] => [1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,6,2,3,4,5,7] => [1,3,4,5,6,2,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,1,0,0,0,-1,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,7,3,4,5,6] => [1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 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]] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => ([(5,6)],7) => 1

[[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],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [2,1,3,4,5,7,6] => [2,1,3,4,5,7,6] => ([(3,6),(4,5)],7) => 1

[[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],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [2,1,3,4,6,5,7] => [2,1,3,4,6,5,7] => ([(3,6),(4,5)],7) => 1

[[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],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,3,4,5,7,6] => [2,1,3,4,5,7,6] => ([(3,6),(4,5)],7) => 1

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [2,1,3,5,4,6,7] => [2,1,3,5,4,6,7] => ([(3,6),(4,5)],7) => 1

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [2,1,3,4,6,5,7] => [2,1,3,4,6,5,7] => ([(3,6),(4,5)],7) => 1

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,3,4,5,7,6] => [2,1,3,4,5,7,6] => ([(3,6),(4,5)],7) => 1

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [2,1,4,3,5,6,7] => [2,1,4,3,5,6,7] => ([(3,6),(4,5)],7) => 1

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [2,1,4,3,5,7,6] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [2,1,4,3,6,5,7] => [2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,4,3,5,7,6] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[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]] => [2,1,3,5,4,6,7] => [2,1,3,5,4,6,7] => ([(3,6),(4,5)],7) => 1

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [2,1,3,4,6,5,7] => [2,1,3,4,6,5,7] => ([(3,6),(4,5)],7) => 1

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[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]] => [2,1,3,4,5,7,6] => [2,1,3,4,5,7,6] => ([(3,6),(4,5)],7) => 1

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [2,1,4,3,6,5,7] => [2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,4,3,5,7,6] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[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],[0,0,0,0,0,1,0]] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [2,1,7,3,4,5,6] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 2

[[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]] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7) => 1

[[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],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => 1

[[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],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => 1

[[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],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[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]] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(5,6)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,0,0,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,7,3,4,5,6] => [1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0],[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]] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0],[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]] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0],[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]] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,-1,0,0,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,7,3,4,5,6] => [1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[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],[0,0,0,0,0,1,0]] => [1,2,7,3,4,5,6] => [1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,0,0,0,1,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,6,2,3,4,5,7] => [1,3,4,5,6,2,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,0,0,0,1,0],[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]] => [1,2,7,3,4,5,6] => [1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[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]] => [2,1,4,3,5,6,7] => [2,1,4,3,5,6,7] => ([(3,6),(4,5)],7) => 1

[[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [2,1,4,3,5,7,6] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [2,1,4,3,6,5,7] => [2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,4,3,5,7,6] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[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]] => [2,1,3,5,4,6,7] => [2,1,3,5,4,6,7] => ([(3,6),(4,5)],7) => 1

[[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[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]] => [2,1,3,4,6,5,7] => [2,1,3,4,6,5,7] => ([(3,6),(4,5)],7) => 1

[[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[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]] => [2,1,3,4,5,7,6] => [2,1,3,4,5,7,6] => ([(3,6),(4,5)],7) => 1

[[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [2,1,4,3,6,5,7] => [2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,4,3,5,7,6] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-1,0,0,0,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [2,1,7,3,4,5,6] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => 1

[[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => 1

[[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => 1

[[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => 1

[[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 1

[[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1

[[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,-1,0,0,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,7,3,4,5,6] => [1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[1,0,-1,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,0,1,0,0,0,0],[1,0,-1,0,1,0,0],[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],[0,0,0,0,0,1,0]] => [1,2,7,3,4,5,6] => [1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[1,0,-1,0,0,1,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,6,2,3,4,5,7] => [1,3,4,5,6,2,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[1,0,-1,0,0,1,0],[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]] => [1,2,7,3,4,5,6] => [1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2

[[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [2,1,4,3,6,5,7] => [2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,4,3,5,7,6] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[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,-1,1],[0,0,0,0,0,1,0]] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,1,0,-1,0,0,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [2,1,7,3,4,5,6] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 2

[[0,0,0,1,0,0,0],[1,0,0,-1,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,0,0,1,0,0,0],[1,0,0,-1,1,0,0],[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],[0,0,0,0,0,1,0]] => [1,2,7,3,4,5,6] => [1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2

[[0,0,0,1,0,0,0],[1,0,0,-1,0,1,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,6,2,3,4,5,7] => [1,3,4,5,6,2,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2

[[0,0,0,1,0,0,0],[1,0,0,-1,0,1,0],[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]] => [1,2,7,3,4,5,6] => [1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2

[[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],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [5,1,2,3,4,6,7] => [2,3,4,5,1,6,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2

[[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],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [5,1,2,3,4,7,6] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 2

[[0,0,0,0,1,0,0],[1,0,0,0,0,0,0],[0,1,0,0,-1,0,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [2,1,7,3,4,5,6] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 2

[[0,0,0,0,1,0,0],[1,0,0,0,-1,1,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,6,2,3,4,5,7] => [1,3,4,5,6,2,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2

[[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]] => [1,2,7,3,4,5,6] => [1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2

[[0,0,0,0,0,1,0],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [5,1,2,3,4,7,6] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 2

[[0,0,0,0,0,1,0],[1,0,0,0,0,0,0],[0,1,0,0,0,-1,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [2,1,7,3,4,5,6] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [1,2,3,6,5,4,7] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,2,5,4,3,6,7] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,2,5,4,3,7,6] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]] => [1,2,6,5,4,3,7] => [1,2,6,5,4,3,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0]] => [1,2,7,6,5,4,3] => [1,2,7,6,5,4,3] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[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],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [1,3,2,6,5,4,7] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]] => [1,3,2,7,6,5,4] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,4,3,2,5,6,7] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,4,3,2,5,7,6] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,4,3,2,6,5,7] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [1,4,3,2,7,6,5] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,5,4,3,2,6,7] => [1,5,4,3,2,6,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,5,4,3,2,7,6] => [1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1]] => [1,6,5,4,3,2,7] => [1,6,5,4,3,2,7] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4

[[1,0,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,7,6,5,4,3,2] => [1,7,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 5

[[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],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [2,1,3,4,7,6,5] => [2,1,3,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [2,1,3,6,5,4,7] => [2,1,3,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]] => [2,1,3,7,6,5,4] => [2,1,3,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [2,1,4,3,7,6,5] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [2,1,5,4,3,6,7] => [2,1,5,4,3,6,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [2,1,5,4,3,7,6] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]] => [2,1,6,5,4,3,7] => [2,1,6,5,4,3,7] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0]] => [2,1,7,6,5,4,3] => [2,1,7,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4

[[0,0,1,0,0,0,0],[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]] => [3,2,1,4,5,6,7] => [3,2,1,4,5,6,7] => ([(4,5),(4,6),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[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],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [3,2,1,4,5,7,6] => [3,2,1,4,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [3,2,1,4,6,5,7] => [3,2,1,4,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [3,2,1,4,7,6,5] => [3,2,1,4,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [3,2,1,5,4,6,7] => [3,2,1,5,4,6,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [3,2,1,5,4,7,6] => [3,2,1,5,4,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [3,2,1,6,5,4,7] => [3,2,1,6,5,4,7] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]] => [3,2,1,7,6,5,4] => [3,2,1,7,6,5,4] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[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],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [4,3,2,1,5,6,7] => [4,3,2,1,5,6,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[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],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [4,3,2,1,5,7,6] => [4,3,2,1,5,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[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],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [4,3,2,1,6,5,7] => [4,3,2,1,6,5,7] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[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],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [4,3,2,1,7,6,5] => [4,3,2,1,7,6,5] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [5,4,3,2,1,6,7] => [5,4,3,2,1,6,7] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4

[[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [5,4,3,2,1,7,6] => [5,4,3,2,1,7,6] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4

[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,0,1]] => [6,5,4,3,2,1,7] => [6,5,4,3,2,1,7] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 5

[[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0]] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 6

[[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,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => 2

[[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,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [1,2,3,6,5,4,7] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => 1

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 1

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [1,2,3,6,5,4,7] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[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]] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,2,5,4,3,7,6] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0]] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[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],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 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],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[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,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [1,2,3,6,5,4,7] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[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],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,2,5,4,3,6,7] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7) => 2

[[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],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,2,5,4,3,7,6] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[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],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => 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],[0,0,1,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 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],[0,0,1,0,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[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,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [1,2,3,6,5,4,7] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7) => 2

[[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,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 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,-1,1,0],[0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => 2

[[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],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]] => [1,2,6,5,4,3,7] => [1,2,6,5,4,3,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,2,5,4,3,7,6] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0]] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0]] => [1,2,7,6,5,4,3] => [1,2,7,6,5,4,3] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4

[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,4,3,2,5,7,6] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => 1

[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-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]] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => 1

[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[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]] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => 1

[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [1,3,2,6,5,4,7] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]] => [1,3,2,7,6,5,4] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,2,5,4,3,6,7] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,2,5,4,3,7,6] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-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]] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => 1

[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 1

[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[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],[0,0,0,0,0,0,1]] => [1,2,3,6,5,4,7] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[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,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1

[[1,0,0,0,0,0,0],[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,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,-1,0,1],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]] => [1,2,6,5,4,3,7] => [1,2,6,5,4,3,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,2,5,4,3,7,6] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0]] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,1,-1,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,0,1],[0,1,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0]] => [1,2,7,6,5,4,3] => [1,2,7,6,5,4,3] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4

[[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,4,3,2,6,5,7] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,4,3,2,5,7,6] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [1,4,3,2,7,6,5] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [1,3,2,6,5,4,7] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,1,0,-1,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,0,1],[0,1,0,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]] => [1,3,2,7,6,5,4] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]] => [1,2,6,5,4,3,7] => [1,2,6,5,4,3,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,2,5,4,3,7,6] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,-1,1],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0]] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[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],[0,0,0,1,0,0,0]] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,1,-1,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0]] => [1,2,7,6,5,4,3] => [1,2,7,6,5,4,3] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4

[[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,5,4,3,2,7,6] => [1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,1,0,0,-1,1,0],[0,0,0,0,1,0,0]] => [1,4,3,2,7,6,5] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2

[[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,-1,1,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,3,2,7,6,5,4] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,2,7,6,5,4,3] => [1,2,7,6,5,4,3] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [2,1,3,4,7,6,5] => [2,1,3,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]] => [2,1,3,4,7,6,5] => [2,1,3,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [2,1,3,4,7,6,5] => [2,1,3,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [2,1,3,6,5,4,7] => [2,1,3,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]] => [2,1,3,7,6,5,4] => [2,1,3,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [2,1,4,3,6,5,7] => [2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,4,3,5,7,6] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [2,1,4,3,7,6,5] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [2,1,3,6,5,4,7] => [2,1,3,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]] => [2,1,3,4,7,6,5] => [2,1,3,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]] => [2,1,3,7,6,5,4] => [2,1,3,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]] => [2,1,5,4,3,7,6] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0]] => [2,1,4,3,7,6,5] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]] => [2,1,3,7,6,5,4] => [2,1,3,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[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],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [1,3,2,6,5,4,7] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]] => [1,3,2,7,6,5,4] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[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],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [1,2,3,6,5,4,7] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,2,5,4,3,6,7] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,2,5,4,3,7,6] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [1,2,3,6,5,4,7] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,1,0,0],[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]] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]] => [1,2,6,5,4,3,7] => [1,2,6,5,4,3,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,2,5,4,3,7,6] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0]] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0]] => [1,2,7,6,5,4,3] => [1,2,7,6,5,4,3] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4

[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[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]] => [1,4,3,2,5,6,7] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,4,3,2,5,7,6] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,4,3,2,6,5,7] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,4,3,2,5,7,6] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [1,4,3,2,7,6,5] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-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]] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[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]] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [1,3,2,6,5,4,7] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]] => [1,3,2,7,6,5,4] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,2,5,4,3,6,7] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,2,5,4,3,7,6] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-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]] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[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],[0,0,0,0,0,0,1]] => [1,2,3,6,5,4,7] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[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,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[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]] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,-1,0,1],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]] => [1,2,6,5,4,3,7] => [1,2,6,5,4,3,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,2,5,4,3,7,6] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0]] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,1,-1,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,0,1,-1,0,0,1],[0,1,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0]] => [1,2,7,6,5,4,3] => [1,2,7,6,5,4,3] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4

[[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,5,4,3,2,6,7] => [1,5,4,3,2,6,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,5,4,3,2,7,6] => [1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,4,3,2,6,5,7] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,4,3,2,5,7,6] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [1,4,3,2,7,6,5] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [1,3,2,6,5,4,7] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,1,0,-1,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,0,1],[0,1,0,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]] => [1,3,2,7,6,5,4] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]] => [1,2,6,5,4,3,7] => [1,2,6,5,4,3,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,2,5,4,3,7,6] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,-1,1],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0]] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[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],[0,0,0,1,0,0,0]] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,1,-1,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0]] => [1,2,7,6,5,4,3] => [1,2,7,6,5,4,3] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4

[[0,1,0,0,0,0,0],[1,-1,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1]] => [1,6,5,4,3,2,7] => [1,6,5,4,3,2,7] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4

[[0,1,0,0,0,0,0],[1,-1,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,5,4,3,2,7,6] => [1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,1,0,0,0,0,0],[1,-1,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,1,0,0,-1,1,0],[0,0,0,0,1,0,0]] => [1,4,3,2,7,6,5] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2

[[0,1,0,0,0,0,0],[1,-1,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,-1,1,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,3,2,7,6,5,4] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,1,0,0,0,0,0],[1,-1,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,2,7,6,5,4,3] => [1,2,7,6,5,4,3] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4

[[0,1,0,0,0,0,0],[1,-1,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,7,6,5,4,3,2] => [1,7,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 5

[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [3,2,1,4,5,7,6] => [3,2,1,4,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [3,2,1,4,6,5,7] => [3,2,1,4,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [3,2,1,4,5,7,6] => [3,2,1,4,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [3,2,1,4,7,6,5] => [3,2,1,4,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [3,2,1,5,4,7,6] => [3,2,1,5,4,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]] => [3,2,1,4,7,6,5] => [3,2,1,4,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [2,1,4,3,5,6,7] => [2,1,4,3,5,6,7] => ([(3,6),(4,5)],7) => 1

[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [2,1,4,3,5,7,6] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [2,1,4,3,6,5,7] => [2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,4,3,5,7,6] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [2,1,4,3,7,6,5] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-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]] => [2,1,3,5,4,6,7] => [2,1,3,5,4,6,7] => ([(3,6),(4,5)],7) => 1

[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [2,1,3,4,6,5,7] => [2,1,3,4,6,5,7] => ([(3,6),(4,5)],7) => 1

[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[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]] => [2,1,3,4,5,7,6] => [2,1,3,4,5,7,6] => ([(3,6),(4,5)],7) => 1

[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [2,1,3,4,7,6,5] => [2,1,3,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [2,1,3,6,5,4,7] => [2,1,3,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]] => [2,1,3,4,7,6,5] => [2,1,3,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,1,0,0,0],[0,0,1,-1,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]] => [2,1,3,7,6,5,4] => [2,1,3,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [2,1,5,4,3,6,7] => [2,1,5,4,3,6,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [2,1,5,4,3,7,6] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [2,1,4,3,6,5,7] => [2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,4,3,5,7,6] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [2,1,4,3,7,6,5] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [2,1,3,6,5,4,7] => [2,1,3,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,0,1,0,0],[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]] => [2,1,3,4,7,6,5] => [2,1,3,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]] => [2,1,3,7,6,5,4] => [2,1,3,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]] => [2,1,6,5,4,3,7] => [2,1,6,5,4,3,7] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]] => [2,1,5,4,3,7,6] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0]] => [2,1,4,3,7,6,5] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]] => [2,1,3,7,6,5,4] => [2,1,3,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,-1,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0]] => [2,1,7,6,5,4,3] => [2,1,7,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4

[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[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]] => [1,4,3,2,5,6,7] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[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]] => [1,4,3,2,5,7,6] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,4,3,2,6,5,7] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,4,3,2,5,7,6] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [1,4,3,2,7,6,5] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-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],[0,0,0,0,0,0,1]] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => 1

[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,-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]] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => 1

[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[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]] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => 1

[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,-1,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [1,3,2,6,5,4,7] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,-1,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,-1,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]] => [1,3,2,7,6,5,4] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,2,5,4,3,6,7] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7) => 2

[[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],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,2,5,4,3,7,6] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[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,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => 1

[[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,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 1

[[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,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[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],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [1,2,3,6,5,4,7] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7) => 2

[[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,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1

[[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]] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => 2

[[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,-1,0,1],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,-1,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]] => [1,2,6,5,4,3,7] => [1,2,6,5,4,3,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,-1,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,2,5,4,3,7,6] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,-1,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0]] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,-1,0,1,0],[0,1,-1,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[1,-1,1,-1,0,0,1],[0,1,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0]] => [1,2,7,6,5,4,3] => [1,2,7,6,5,4,3] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4

[[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,5,4,3,2,6,7] => [1,5,4,3,2,6,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,5,4,3,2,7,6] => [1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,4,3,2,6,5,7] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,4,3,2,5,7,6] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [1,4,3,2,7,6,5] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [1,3,2,6,5,4,7] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,1,0,-1,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,-1,0,1],[0,1,0,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]] => [1,3,2,7,6,5,4] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[1,-1,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]] => [1,2,6,5,4,3,7] => [1,2,6,5,4,3,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[1,-1,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,2,5,4,3,7,6] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[1,-1,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,-1,1],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0]] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[1,-1,0,1,-1,1,0],[0,0,1,-1,1,-1,1],[0,1,-1,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[1,-1,0,1,-1,0,1],[0,0,1,-1,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0]] => [1,2,7,6,5,4,3] => [1,2,7,6,5,4,3] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4

[[0,0,1,0,0,0,0],[0,1,-1,0,0,1,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1]] => [1,6,5,4,3,2,7] => [1,6,5,4,3,2,7] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4

[[0,0,1,0,0,0,0],[0,1,-1,0,0,1,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,5,4,3,2,7,6] => [1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,0,1,0,0,0,0],[0,1,-1,0,0,1,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,1,0,0,-1,1,0],[0,0,0,0,1,0,0]] => [1,4,3,2,7,6,5] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2

[[0,0,1,0,0,0,0],[0,1,-1,0,0,1,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,-1,1,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,3,2,7,6,5,4] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,0,1,0,0,0,0],[0,1,-1,0,0,1,0],[1,-1,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,2,7,6,5,4,3] => [1,2,7,6,5,4,3] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4

[[0,0,1,0,0,0,0],[0,1,-1,0,0,0,1],[1,-1,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,7,6,5,4,3,2] => [1,7,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 5

[[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],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [4,3,2,1,5,7,6] => [4,3,2,1,5,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,-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]] => [3,2,1,5,4,6,7] => [3,2,1,5,4,6,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [3,2,1,5,4,7,6] => [3,2,1,5,4,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2

[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,-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]] => [3,2,1,4,6,5,7] => [3,2,1,4,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[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]] => [3,2,1,4,5,7,6] => [3,2,1,4,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,-1,1,0,0],[0,0,0,1,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [3,2,1,4,7,6,5] => [3,2,1,4,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2

[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [3,2,1,6,5,4,7] => [3,2,1,6,5,4,7] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2

[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [3,2,1,5,4,7,6] => [3,2,1,5,4,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2

[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,-1,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]] => [3,2,1,4,7,6,5] => [3,2,1,4,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2

[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,-1,0,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]] => [3,2,1,7,6,5,4] => [3,2,1,7,6,5,4] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [2,1,5,4,3,6,7] => [2,1,5,4,3,6,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [2,1,5,4,3,7,6] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2

[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[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]] => [2,1,4,3,6,5,7] => [2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,4,3,5,7,6] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [2,1,4,3,7,6,5] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2

[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[1,0,-1,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [2,1,3,6,5,4,7] => [2,1,3,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[1,0,-1,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[1,0,-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]] => [2,1,3,4,7,6,5] => [2,1,3,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,1,0,0],[1,0,-1,1,-1,0,1],[0,0,1,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]] => [2,1,3,7,6,5,4] => [2,1,3,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,0,1,0],[1,0,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]] => [2,1,6,5,4,3,7] => [2,1,6,5,4,3,7] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,0,1,0],[1,0,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]] => [2,1,5,4,3,7,6] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2

[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,0,1,0],[1,0,-1,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0]] => [2,1,4,3,7,6,5] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2

[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,0,1,0],[1,0,-1,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]] => [2,1,3,7,6,5,4] => [2,1,3,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,-1,0,0,1],[1,0,-1,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0]] => [2,1,7,6,5,4,3] => [2,1,7,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4

[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,5,4,3,2,6,7] => [1,5,4,3,2,6,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,5,4,3,2,7,6] => [1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,4,3,2,6,5,7] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,4,3,2,5,7,6] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [1,4,3,2,7,6,5] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2

[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,-1,1,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [1,3,2,6,5,4,7] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,-1,1,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1

[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,-1,1,0],[0,1,0,-1,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,-1,0,1],[0,1,0,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]] => [1,3,2,7,6,5,4] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[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,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]] => [1,2,6,5,4,3,7] => [1,2,6,5,4,3,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[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,-1,1,0,0,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,2,5,4,3,7,6] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,-1,1,0],[1,-1,1,-1,1,0,0],[0,1,-1,1,0,-1,1],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0]] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2

[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,-1,1,0],[1,-1,1,-1,1,-1,1],[0,1,-1,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,1,-1,1,-1,0,1],[1,-1,1,-1,0,1,0],[0,1,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0]] => [1,2,7,6,5,4,3] => [1,2,7,6,5,4,3] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4

[[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,1,-1,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1]] => [1,6,5,4,3,2,7] => [1,6,5,4,3,2,7] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4

[[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,1,-1,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,5,4,3,2,7,6] => [1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,1,-1,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,1,0,0,-1,1,0],[0,0,0,0,1,0,0]] => [1,4,3,2,7,6,5] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2

[[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,1,-1,0,1,0,0],[1,-1,0,1,0,-1,1],[0,0,1,0,-1,1,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,3,2,7,6,5,4] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,1,-1,0,1,-1,1],[1,-1,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [1,2,7,6,5,4,3] => [1,2,7,6,5,4,3] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4

[[0,0,0,1,0,0,0],[0,0,1,-1,0,0,1],[0,1,-1,0,0,1,0],[1,-1,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,7,6,5,4,3,2] => [1,7,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 5

[[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [4,3,2,1,6,5,7] => [4,3,2,1,6,5,7] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [4,3,2,1,5,7,6] => [4,3,2,1,5,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,-1,0,1],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0]] => [4,3,2,1,7,6,5] => [4,3,2,1,7,6,5] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,-1,1,0],[1,0,0,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1]] => [3,2,1,6,5,4,7] => [3,2,1,6,5,4,7] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2

[[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,-1,1,0],[1,0,0,-1,1,0,0],[0,0,0,1,0,-1,1],[0,0,0,0,0,1,0]] => [3,2,1,5,4,7,6] => [3,2,1,5,4,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2

[[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,-1,1,0],[1,0,0,-1,1,-1,1],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0]] => [3,2,1,4,7,6,5] => [3,2,1,4,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2

[[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,-1,0,1],[1,0,0,-1,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0]] => [3,2,1,7,6,5,4] => [3,2,1,7,6,5,4] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,1,0,-1,1,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,0,1]] => [2,1,6,5,4,3,7] => [2,1,6,5,4,3,7] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,1,0,-1,1,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,-1,1],[0,0,0,0,0,1,0]] => [2,1,5,4,3,7,6] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2

[[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,1,0,-1,1,0,0],[1,0,-1,1,0,-1,1],[0,0,1,0,-1,1,0],[0,0,0,0,1,0,0]] => [2,1,4,3,7,6,5] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2

[[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,1,0],[0,1,0,-1,1,-1,1],[1,0,-1,1,-1,1,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0]] => [2,1,3,7,6,5,4] => [2,1,3,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,-1,0,1],[0,1,0,-1,0,1,0],[1,0,-1,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0]] => [2,1,7,6,5,4,3] => [2,1,7,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4

[[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1]] => [1,6,5,4,3,2,7] => [1,6,5,4,3,2,7] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4

[[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,-1,1],[0,0,0,0,0,1,0]] => [1,5,4,3,2,7,6] => [1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,-1,1],[0,1,0,0,-1,1,0],[0,0,0,0,1,0,0]] => [1,4,3,2,7,6,5] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2

[[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,-1,1],[1,-1,1,0,-1,1,0],[0,1,0,-1,1,0,0],[0,0,0,1,0,0,0]] => [1,3,2,7,6,5,4] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[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]] => [1,2,7,6,5,4,3] => [1,2,7,6,5,4,3] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4

[[0,0,0,0,1,0,0],[0,0,0,1,-1,0,1],[0,0,1,-1,0,1,0],[0,1,-1,0,1,0,0],[1,-1,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,7,6,5,4,3,2] => [1,7,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 5

[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[1,0,0,0,0,-1,1],[0,0,0,0,0,1,0]] => [5,4,3,2,1,7,6] => [5,4,3,2,1,7,6] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4

[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,-1,1],[1,0,0,0,-1,1,0],[0,0,0,0,1,0,0]] => [4,3,2,1,7,6,5] => [4,3,2,1,7,6,5] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,-1,1],[0,1,0,0,-1,1,0],[1,0,0,-1,1,0,0],[0,0,0,1,0,0,0]] => [3,2,1,7,6,5,4] => [3,2,1,7,6,5,4] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,1,0,-1,1],[0,0,1,0,-1,1,0],[0,1,0,-1,1,0,0],[1,0,-1,1,0,0,0],[0,0,1,0,0,0,0]] => [2,1,7,6,5,4,3] => [2,1,7,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4

[[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,1,-1,1,0],[0,0,1,-1,1,0,0],[0,1,-1,1,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0]] => [1,7,6,5,4,3,2] => [1,7,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 5

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Description

The largest eigenvalue of a graph if it is integral.
If a graph is $d$-regular, then its largest eigenvalue equals $d$. One can show that the largest eigenvalue always lies between the average degree and the maximal degree.
This statistic is undefined if the largest eigenvalue of the graph is not integral.

Map

to left key permutation

Description

Return the permutation of the left key of an alternating sign matrix.
This was originally defined by Lascoux and then further studied by Aval [1].

Map

graph of inversions

Description

The graph of inversions of a permutation.
For a permutation of $\{1,\dots,n\}$, this is the graph with vertices $\{1,\dots,n\}$, where $(i,j)$ is an edge if and only if it is an inversion of the permutation.

Map

invert Laguerre heap

Description

The permutation obtained by inverting the corresponding Laguerre heap, according to Viennot.
Let $\pi$ be a permutation. Following Viennot [1], we associate to $\pi$ a heap of pieces, by considering each decreasing run $(\pi_i, \pi_{i+1}, \dots, \pi_j)$ of $\pi$ as one piece, beginning with the left most run. Two pieces commute if and only if the minimal element of one piece is larger than the maximal element of the other piece.
This map yields the permutation corresponding to the heap obtained by reversing the reading direction of the heap.
Equivalently, this is the permutation obtained by flipping the noncrossing arc diagram of Reading [2] vertically.
By definition, this map preserves the set of decreasing runs.