Identifier
-
Mp00160:
Permutations
—graph of inversions⟶
Graphs
Mp00037: Graphs —to partition of connected components⟶ Integer partitions
Mp00202: Integer partitions —first row removal⟶ Integer partitions
St000284: Integer partitions ⟶ ℤ
Values
[1,2,3] => ([],3) => [1,1,1] => [1,1] => 1
[1,2,3,4] => ([],4) => [1,1,1,1] => [1,1,1] => 1
[1,2,4,3] => ([(2,3)],4) => [2,1,1] => [1,1] => 1
[1,3,2,4] => ([(2,3)],4) => [2,1,1] => [1,1] => 1
[2,1,3,4] => ([(2,3)],4) => [2,1,1] => [1,1] => 1
[2,1,4,3] => ([(0,3),(1,2)],4) => [2,2] => [2] => 1
[1,2,3,4,5] => ([],5) => [1,1,1,1,1] => [1,1,1,1] => 1
[1,2,3,5,4] => ([(3,4)],5) => [2,1,1,1] => [1,1,1] => 1
[1,2,4,3,5] => ([(3,4)],5) => [2,1,1,1] => [1,1,1] => 1
[1,2,4,5,3] => ([(2,4),(3,4)],5) => [3,1,1] => [1,1] => 1
[1,2,5,3,4] => ([(2,4),(3,4)],5) => [3,1,1] => [1,1] => 1
[1,2,5,4,3] => ([(2,3),(2,4),(3,4)],5) => [3,1,1] => [1,1] => 1
[1,3,2,4,5] => ([(3,4)],5) => [2,1,1,1] => [1,1,1] => 1
[1,3,2,5,4] => ([(1,4),(2,3)],5) => [2,2,1] => [2,1] => 4
[1,3,4,2,5] => ([(2,4),(3,4)],5) => [3,1,1] => [1,1] => 1
[1,4,2,3,5] => ([(2,4),(3,4)],5) => [3,1,1] => [1,1] => 1
[1,4,3,2,5] => ([(2,3),(2,4),(3,4)],5) => [3,1,1] => [1,1] => 1
[2,1,3,4,5] => ([(3,4)],5) => [2,1,1,1] => [1,1,1] => 1
[2,1,3,5,4] => ([(1,4),(2,3)],5) => [2,2,1] => [2,1] => 4
[2,1,4,3,5] => ([(1,4),(2,3)],5) => [2,2,1] => [2,1] => 4
[2,1,4,5,3] => ([(0,1),(2,4),(3,4)],5) => [3,2] => [2] => 1
[2,1,5,3,4] => ([(0,1),(2,4),(3,4)],5) => [3,2] => [2] => 1
[2,1,5,4,3] => ([(0,1),(2,3),(2,4),(3,4)],5) => [3,2] => [2] => 1
[2,3,1,4,5] => ([(2,4),(3,4)],5) => [3,1,1] => [1,1] => 1
[2,3,1,5,4] => ([(0,1),(2,4),(3,4)],5) => [3,2] => [2] => 1
[3,1,2,4,5] => ([(2,4),(3,4)],5) => [3,1,1] => [1,1] => 1
[3,1,2,5,4] => ([(0,1),(2,4),(3,4)],5) => [3,2] => [2] => 1
[3,2,1,4,5] => ([(2,3),(2,4),(3,4)],5) => [3,1,1] => [1,1] => 1
[3,2,1,5,4] => ([(0,1),(2,3),(2,4),(3,4)],5) => [3,2] => [2] => 1
[1,2,3,4,5,6] => ([],6) => [1,1,1,1,1,1] => [1,1,1,1,1] => 1
[1,2,3,4,6,5] => ([(4,5)],6) => [2,1,1,1,1] => [1,1,1,1] => 1
[1,2,3,5,4,6] => ([(4,5)],6) => [2,1,1,1,1] => [1,1,1,1] => 1
[1,2,3,5,6,4] => ([(3,5),(4,5)],6) => [3,1,1,1] => [1,1,1] => 1
[1,2,3,6,4,5] => ([(3,5),(4,5)],6) => [3,1,1,1] => [1,1,1] => 1
[1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [1,1,1] => 1
[1,2,4,3,5,6] => ([(4,5)],6) => [2,1,1,1,1] => [1,1,1,1] => 1
[1,2,4,3,6,5] => ([(2,5),(3,4)],6) => [2,2,1,1] => [2,1,1] => 9
[1,2,4,5,3,6] => ([(3,5),(4,5)],6) => [3,1,1,1] => [1,1,1] => 1
[1,2,4,5,6,3] => ([(2,5),(3,5),(4,5)],6) => [4,1,1] => [1,1] => 1
[1,2,4,6,3,5] => ([(2,5),(3,4),(4,5)],6) => [4,1,1] => [1,1] => 1
[1,2,4,6,5,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1] => 1
[1,2,5,3,4,6] => ([(3,5),(4,5)],6) => [3,1,1,1] => [1,1,1] => 1
[1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => [4,1,1] => [1,1] => 1
[1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [1,1,1] => 1
[1,2,5,4,6,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1] => 1
[1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => [4,1,1] => [1,1] => 1
[1,2,5,6,4,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1] => 1
[1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => [4,1,1] => [1,1] => 1
[1,2,6,3,5,4] => ([(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1] => 1
[1,2,6,4,3,5] => ([(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1] => 1
[1,2,6,4,5,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1] => 1
[1,2,6,5,3,4] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1] => 1
[1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1] => 1
[1,3,2,4,5,6] => ([(4,5)],6) => [2,1,1,1,1] => [1,1,1,1] => 1
[1,3,2,4,6,5] => ([(2,5),(3,4)],6) => [2,2,1,1] => [2,1,1] => 9
[1,3,2,5,4,6] => ([(2,5),(3,4)],6) => [2,2,1,1] => [2,1,1] => 9
[1,3,2,5,6,4] => ([(1,2),(3,5),(4,5)],6) => [3,2,1] => [2,1] => 4
[1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => [3,2,1] => [2,1] => 4
[1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => [3,2,1] => [2,1] => 4
[1,3,4,2,5,6] => ([(3,5),(4,5)],6) => [3,1,1,1] => [1,1,1] => 1
[1,3,4,2,6,5] => ([(1,2),(3,5),(4,5)],6) => [3,2,1] => [2,1] => 4
[1,3,4,5,2,6] => ([(2,5),(3,5),(4,5)],6) => [4,1,1] => [1,1] => 1
[1,3,5,2,4,6] => ([(2,5),(3,4),(4,5)],6) => [4,1,1] => [1,1] => 1
[1,3,5,4,2,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1] => 1
[1,4,2,3,5,6] => ([(3,5),(4,5)],6) => [3,1,1,1] => [1,1,1] => 1
[1,4,2,3,6,5] => ([(1,2),(3,5),(4,5)],6) => [3,2,1] => [2,1] => 4
[1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => [4,1,1] => [1,1] => 1
[1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [1,1,1] => 1
[1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => [3,2,1] => [2,1] => 4
[1,4,3,5,2,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1] => 1
[1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => [4,1,1] => [1,1] => 1
[1,4,5,3,2,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1] => 1
[1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => [4,1,1] => [1,1] => 1
[1,5,2,4,3,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1] => 1
[1,5,3,2,4,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1] => 1
[1,5,3,4,2,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1] => 1
[1,5,4,2,3,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1] => 1
[1,5,4,3,2,6] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1] => 1
[2,1,3,4,5,6] => ([(4,5)],6) => [2,1,1,1,1] => [1,1,1,1] => 1
[2,1,3,4,6,5] => ([(2,5),(3,4)],6) => [2,2,1,1] => [2,1,1] => 9
[2,1,3,5,4,6] => ([(2,5),(3,4)],6) => [2,2,1,1] => [2,1,1] => 9
[2,1,3,5,6,4] => ([(1,2),(3,5),(4,5)],6) => [3,2,1] => [2,1] => 4
[2,1,3,6,4,5] => ([(1,2),(3,5),(4,5)],6) => [3,2,1] => [2,1] => 4
[2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => [3,2,1] => [2,1] => 4
[2,1,4,3,5,6] => ([(2,5),(3,4)],6) => [2,2,1,1] => [2,1,1] => 9
[2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => [2,2,2] => [2,2] => 4
[2,1,4,5,3,6] => ([(1,2),(3,5),(4,5)],6) => [3,2,1] => [2,1] => 4
[2,1,4,5,6,3] => ([(0,1),(2,5),(3,5),(4,5)],6) => [4,2] => [2] => 1
[2,1,4,6,3,5] => ([(0,1),(2,5),(3,4),(4,5)],6) => [4,2] => [2] => 1
[2,1,4,6,5,3] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [4,2] => [2] => 1
[2,1,5,3,4,6] => ([(1,2),(3,5),(4,5)],6) => [3,2,1] => [2,1] => 4
[2,1,5,3,6,4] => ([(0,1),(2,5),(3,4),(4,5)],6) => [4,2] => [2] => 1
[2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => [3,2,1] => [2,1] => 4
[2,1,5,4,6,3] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [4,2] => [2] => 1
[2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => [4,2] => [2] => 1
[2,1,5,6,4,3] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,2] => [2] => 1
[2,1,6,3,4,5] => ([(0,1),(2,5),(3,5),(4,5)],6) => [4,2] => [2] => 1
[2,1,6,3,5,4] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [4,2] => [2] => 1
[2,1,6,4,3,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [4,2] => [2] => 1
[2,1,6,4,5,3] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,2] => [2] => 1
[2,1,6,5,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,2] => [2] => 1
>>> Load all 1338 entries. <<<[2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,2] => [2] => 1
[2,3,1,4,5,6] => ([(3,5),(4,5)],6) => [3,1,1,1] => [1,1,1] => 1
[2,3,1,4,6,5] => ([(1,2),(3,5),(4,5)],6) => [3,2,1] => [2,1] => 4
[2,3,1,5,4,6] => ([(1,2),(3,5),(4,5)],6) => [3,2,1] => [2,1] => 4
[2,3,1,5,6,4] => ([(0,5),(1,5),(2,4),(3,4)],6) => [3,3] => [3] => 1
[2,3,1,6,4,5] => ([(0,5),(1,5),(2,4),(3,4)],6) => [3,3] => [3] => 1
[2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => [3,3] => [3] => 1
[2,3,4,1,5,6] => ([(2,5),(3,5),(4,5)],6) => [4,1,1] => [1,1] => 1
[2,3,4,1,6,5] => ([(0,1),(2,5),(3,5),(4,5)],6) => [4,2] => [2] => 1
[2,4,1,3,5,6] => ([(2,5),(3,4),(4,5)],6) => [4,1,1] => [1,1] => 1
[2,4,1,3,6,5] => ([(0,1),(2,5),(3,4),(4,5)],6) => [4,2] => [2] => 1
[2,4,3,1,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1] => 1
[2,4,3,1,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [4,2] => [2] => 1
[3,1,2,4,5,6] => ([(3,5),(4,5)],6) => [3,1,1,1] => [1,1,1] => 1
[3,1,2,4,6,5] => ([(1,2),(3,5),(4,5)],6) => [3,2,1] => [2,1] => 4
[3,1,2,5,4,6] => ([(1,2),(3,5),(4,5)],6) => [3,2,1] => [2,1] => 4
[3,1,2,5,6,4] => ([(0,5),(1,5),(2,4),(3,4)],6) => [3,3] => [3] => 1
[3,1,2,6,4,5] => ([(0,5),(1,5),(2,4),(3,4)],6) => [3,3] => [3] => 1
[3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => [3,3] => [3] => 1
[3,1,4,2,5,6] => ([(2,5),(3,4),(4,5)],6) => [4,1,1] => [1,1] => 1
[3,1,4,2,6,5] => ([(0,1),(2,5),(3,4),(4,5)],6) => [4,2] => [2] => 1
[3,2,1,4,5,6] => ([(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [1,1,1] => 1
[3,2,1,4,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => [3,2,1] => [2,1] => 4
[3,2,1,5,4,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => [3,2,1] => [2,1] => 4
[3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => [3,3] => [3] => 1
[3,2,1,6,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => [3,3] => [3] => 1
[3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => [3,3] => [3] => 1
[3,2,4,1,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1] => 1
[3,2,4,1,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [4,2] => [2] => 1
[3,4,1,2,5,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => [4,1,1] => [1,1] => 1
[3,4,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => [4,2] => [2] => 1
[3,4,2,1,5,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1] => 1
[3,4,2,1,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,2] => [2] => 1
[4,1,2,3,5,6] => ([(2,5),(3,5),(4,5)],6) => [4,1,1] => [1,1] => 1
[4,1,2,3,6,5] => ([(0,1),(2,5),(3,5),(4,5)],6) => [4,2] => [2] => 1
[4,1,3,2,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1] => 1
[4,1,3,2,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [4,2] => [2] => 1
[4,2,1,3,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1] => 1
[4,2,1,3,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [4,2] => [2] => 1
[4,2,3,1,5,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1] => 1
[4,2,3,1,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,2] => [2] => 1
[4,3,1,2,5,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1] => 1
[4,3,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,2] => [2] => 1
[4,3,2,1,5,6] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1] => 1
[4,3,2,1,6,5] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,2] => [2] => 1
[1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[1,2,3,4,5,7,6] => ([(5,6)],7) => [2,1,1,1,1,1] => [1,1,1,1,1] => 1
[1,2,3,4,6,5,7] => ([(5,6)],7) => [2,1,1,1,1,1] => [1,1,1,1,1] => 1
[1,2,3,4,6,7,5] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => [1,1,1,1] => 1
[1,2,3,4,7,5,6] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => [1,1,1,1] => 1
[1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,1,1,1] => 1
[1,2,3,5,4,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => [1,1,1,1,1] => 1
[1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => [2,1,1,1] => 16
[1,2,3,5,6,4,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => [1,1,1,1] => 1
[1,2,3,5,6,7,4] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[1,2,3,5,7,4,6] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[1,2,3,5,7,6,4] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[1,2,3,6,4,5,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => [1,1,1,1] => 1
[1,2,3,6,4,7,5] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,1,1,1] => 1
[1,2,3,6,5,7,4] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => [1,1,1] => 1
[1,2,3,6,7,5,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[1,2,3,7,5,6,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[1,2,4,3,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => [1,1,1,1,1] => 1
[1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => [2,1,1,1] => 16
[1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => [2,1,1,1] => 16
[1,2,4,3,6,7,5] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => [2,1,1] => 9
[1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => [2,1,1] => 9
[1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [2,1,1] => 9
[1,2,4,5,3,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => [1,1,1,1] => 1
[1,2,4,5,3,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => [2,1,1] => 9
[1,2,4,5,6,3,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,4,5,7,3,6] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,4,5,7,6,3] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,4,6,3,5,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[1,2,4,6,3,7,5] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => [1,1] => 1
[1,2,4,6,5,3,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[1,2,4,6,5,7,3] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,4,6,7,3,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,4,6,7,5,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,4,7,3,5,6] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,4,7,3,6,5] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,4,7,5,3,6] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,4,7,5,6,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,4,7,6,3,5] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,4,7,6,5,3] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,5,3,4,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => [1,1,1,1] => 1
[1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => [2,1,1] => 9
[1,2,5,3,6,4,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[1,2,5,3,6,7,4] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,5,3,7,4,6] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => [1,1] => 1
[1,2,5,3,7,6,4] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,1,1,1] => 1
[1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [2,1,1] => 9
[1,2,5,4,6,3,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[1,2,5,4,6,7,3] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,5,4,7,3,6] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,5,4,7,6,3] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => [1,1,1] => 1
[1,2,5,6,3,7,4] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,5,6,4,3,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[1,2,5,6,4,7,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,5,6,7,3,4] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => [1,1] => 1
[1,2,5,6,7,4,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,5,7,3,6,4] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,5,7,4,3,6] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,5,7,4,6,3] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,5,7,6,3,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => [1,1] => 1
[1,2,5,7,6,4,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[1,2,6,3,4,7,5] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[1,2,6,3,5,7,4] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,6,3,7,5,4] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[1,2,6,4,3,7,5] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,6,4,5,3,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[1,2,6,4,5,7,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,6,4,7,3,5] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,6,4,7,5,3] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[1,2,6,5,3,7,4] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,6,5,4,3,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[1,2,6,5,4,7,3] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,6,5,7,3,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => [1,1] => 1
[1,2,6,5,7,4,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,6,7,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => [1,1] => 1
[1,2,6,7,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => [1,1] => 1
[1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => [1,1] => 1
[1,2,6,7,4,5,3] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,6,7,5,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,6,7,5,4,3] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,7,3,5,6,4] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,7,3,6,5,4] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,7,4,3,6,5] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,7,4,5,3,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,7,4,5,6,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,7,4,6,3,5] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,7,4,6,5,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,7,5,3,6,4] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,7,5,4,3,6] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,7,5,4,6,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,7,5,6,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,7,5,6,4,3] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,7,6,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,7,6,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,7,6,4,5,3] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,2,7,6,5,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[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) => [5,1,1] => [1,1] => 1
[1,3,2,4,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => [1,1,1,1,1] => 1
[1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => [2,1,1,1] => 16
[1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => [2,1,1,1] => 16
[1,3,2,4,6,7,5] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => [2,1,1] => 9
[1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => [2,1,1] => 9
[1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [2,1,1] => 9
[1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => [2,1,1,1] => 16
[1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => [2,2,2,1] => [2,2,1] => 25
[1,3,2,5,6,4,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => [2,1,1] => 9
[1,3,2,5,6,7,4] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[1,3,2,5,7,4,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => [2,1] => 4
[1,3,2,5,7,6,4] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => [2,1,1] => 9
[1,3,2,6,4,7,5] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => [2,1] => 4
[1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [2,1,1] => 9
[1,3,2,6,5,7,4] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[1,3,2,6,7,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [2,1] => 4
[1,3,2,6,7,5,4] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[1,3,2,7,4,6,5] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[1,3,2,7,5,4,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[1,3,2,7,5,6,4] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[1,3,2,7,6,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[1,3,4,2,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => [1,1,1,1] => 1
[1,3,4,2,5,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => [2,1,1] => 9
[1,3,4,2,6,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => [2,1,1] => 9
[1,3,4,2,6,7,5] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => [3,1] => 9
[1,3,4,2,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => [3,1] => 9
[1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3,1] => [3,1] => 9
[1,3,4,5,2,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[1,3,4,5,2,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[1,3,4,5,6,2,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,3,4,6,2,5,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,3,4,6,5,2,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,3,5,2,4,6,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[1,3,5,2,4,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => [2,1] => 4
[1,3,5,2,6,4,7] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => [1,1] => 1
[1,3,5,4,2,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[1,3,5,4,2,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[1,3,5,4,6,2,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,3,5,6,2,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,3,5,6,4,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,3,6,2,4,5,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,3,6,2,5,4,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,3,6,4,2,5,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,3,6,4,5,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,3,6,5,2,4,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,3,6,5,4,2,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,4,2,3,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => [1,1,1,1] => 1
[1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => [2,1,1] => 9
[1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => [2,1,1] => 9
[1,4,2,3,6,7,5] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => [3,1] => 9
[1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => [3,1] => 9
[1,4,2,3,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3,1] => [3,1] => 9
[1,4,2,5,3,6,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[1,4,2,5,3,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => [2,1] => 4
[1,4,2,5,6,3,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,4,2,6,3,5,7] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => [1,1] => 1
[1,4,2,6,5,3,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,1,1,1] => 1
[1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [2,1,1] => 9
[1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [2,1,1] => 9
[1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3,1] => [3,1] => 9
[1,4,3,2,7,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3,1] => [3,1] => 9
[1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => [3,3,1] => [3,1] => 9
[1,4,3,5,2,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[1,4,3,5,2,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[1,4,3,5,6,2,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,4,3,6,2,5,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,4,3,6,5,2,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => [1,1,1] => 1
[1,4,5,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [2,1] => 4
[1,4,5,2,6,3,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,4,5,3,2,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[1,4,5,3,2,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[1,4,5,3,6,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,4,5,6,2,3,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => [1,1] => 1
[1,4,5,6,3,2,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,4,6,2,5,3,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,4,6,3,2,5,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,4,6,3,5,2,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,4,6,5,2,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => [1,1] => 1
[1,4,6,5,3,2,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[1,5,2,3,6,4,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[1,5,2,4,3,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[1,5,2,4,6,3,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,5,2,6,4,3,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[1,5,3,2,4,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[1,5,3,2,6,4,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,5,3,4,2,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[1,5,3,4,2,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[1,5,3,4,6,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,5,3,6,2,4,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,5,3,6,4,2,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[1,5,4,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[1,5,4,2,6,3,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,5,4,3,2,6,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[1,5,4,3,6,2,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,5,4,6,2,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => [1,1] => 1
[1,5,4,6,3,2,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,5,6,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => [1,1] => 1
[1,5,6,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => [1,1] => 1
[1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => [1,1] => 1
[1,5,6,3,4,2,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,5,6,4,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,5,6,4,3,2,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,6,2,4,5,3,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,6,2,5,4,3,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,6,3,2,5,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,6,3,4,2,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,6,3,4,5,2,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,6,3,5,2,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,6,3,5,4,2,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,6,4,2,5,3,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,6,4,3,2,5,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,6,4,3,5,2,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,6,4,5,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,6,4,5,3,2,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,6,5,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,6,5,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,6,5,3,4,2,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[1,6,5,4,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[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) => [5,1,1] => [1,1] => 1
[2,1,3,4,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => [1,1,1,1,1] => 1
[2,1,3,4,5,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => [2,1,1,1] => 16
[2,1,3,4,6,5,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => [2,1,1,1] => 16
[2,1,3,4,6,7,5] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => [2,1,1] => 9
[2,1,3,4,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => [2,1,1] => 9
[2,1,3,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [2,1,1] => 9
[2,1,3,5,4,6,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => [2,1,1,1] => 16
[2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => [2,2,2,1] => [2,2,1] => 25
[2,1,3,5,6,4,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => [2,1,1] => 9
[2,1,3,5,6,7,4] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[2,1,3,5,7,4,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => [2,1] => 4
[2,1,3,5,7,6,4] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[2,1,3,6,4,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => [2,1,1] => 9
[2,1,3,6,4,7,5] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => [2,1] => 4
[2,1,3,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [2,1,1] => 9
[2,1,3,6,5,7,4] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[2,1,3,6,7,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [2,1] => 4
[2,1,3,6,7,5,4] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[2,1,3,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[2,1,3,7,4,6,5] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[2,1,3,7,5,4,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[2,1,3,7,5,6,4] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[2,1,3,7,6,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[2,1,3,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[2,1,4,3,5,6,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => [2,1,1,1] => 16
[2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => [2,2,2,1] => [2,2,1] => 25
[2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => [2,2,2,1] => [2,2,1] => 25
[2,1,4,3,6,7,5] => ([(0,3),(1,2),(4,6),(5,6)],7) => [3,2,2] => [2,2] => 4
[2,1,4,3,7,5,6] => ([(0,3),(1,2),(4,6),(5,6)],7) => [3,2,2] => [2,2] => 4
[2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => [3,2,2] => [2,2] => 4
[2,1,4,5,3,6,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => [2,1,1] => 9
[2,1,4,5,3,7,6] => ([(0,3),(1,2),(4,6),(5,6)],7) => [3,2,2] => [2,2] => 4
[2,1,4,5,6,3,7] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,4,5,7,3,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [5,2] => [2] => 1
[2,1,4,5,7,6,3] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,4,6,3,5,7] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => [2,1] => 4
[2,1,4,6,3,7,5] => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,4,6,5,3,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[2,1,4,6,5,7,3] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,4,6,7,3,5] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [2] => 1
[2,1,4,6,7,5,3] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,4,7,3,5,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [5,2] => [2] => 1
[2,1,4,7,3,6,5] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,4,7,5,3,6] => ([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,4,7,5,6,3] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,4,7,6,3,5] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,4,7,6,5,3] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,5,3,4,6,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => [2,1,1] => 9
[2,1,5,3,4,7,6] => ([(0,3),(1,2),(4,6),(5,6)],7) => [3,2,2] => [2,2] => 4
[2,1,5,3,6,4,7] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => [2,1] => 4
[2,1,5,3,6,7,4] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [5,2] => [2] => 1
[2,1,5,3,7,4,6] => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,5,3,7,6,4] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,5,4,3,6,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [2,1,1] => 9
[2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => [3,2,2] => [2,2] => 4
[2,1,5,4,6,3,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[2,1,5,4,6,7,3] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,5,4,7,3,6] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,5,4,7,6,3] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,5,6,3,4,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [2,1] => 4
[2,1,5,6,3,7,4] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [2] => 1
[2,1,5,6,4,3,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[2,1,5,6,4,7,3] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,5,6,7,3,4] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [2] => 1
[2,1,5,6,7,4,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,5,7,3,4,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [2] => 1
[2,1,5,7,3,6,4] => ([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,5,7,4,3,6] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,5,7,4,6,3] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,5,7,6,3,4] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [2] => 1
[2,1,5,7,6,4,3] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,6,3,4,5,7] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[2,1,6,3,4,7,5] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [5,2] => [2] => 1
[2,1,6,3,5,4,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[2,1,6,3,5,7,4] => ([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,6,3,7,4,5] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [2] => 1
[2,1,6,3,7,5,4] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,6,4,3,5,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[2,1,6,4,3,7,5] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,6,4,5,3,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[2,1,6,4,5,7,3] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,6,4,7,3,5] => ([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,6,4,7,5,3] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,6,5,3,4,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[2,1,6,5,3,7,4] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,6,5,4,3,7] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[2,1,6,5,4,7,3] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,6,5,7,3,4] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [2] => 1
[2,1,6,5,7,4,3] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,6,7,3,4,5] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [2] => 1
[2,1,6,7,3,5,4] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [2] => 1
[2,1,6,7,4,3,5] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [2] => 1
[2,1,6,7,4,5,3] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,6,7,5,3,4] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,6,7,5,4,3] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,7,3,4,5,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,7,3,4,6,5] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,7,3,5,4,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,7,3,5,6,4] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,7,3,6,4,5] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,7,3,6,5,4] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,7,4,3,5,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,7,4,3,6,5] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,7,4,5,3,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,7,4,5,6,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,7,4,6,3,5] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,7,4,6,5,3] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,7,5,3,4,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,7,5,3,6,4] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,7,5,4,3,6] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,7,5,4,6,3] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,7,5,6,3,4] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,7,5,6,4,3] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,7,6,3,4,5] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,7,6,3,5,4] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,7,6,4,3,5] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,7,6,4,5,3] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,1,7,6,5,3,4] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[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) => [5,2] => [2] => 1
[2,3,1,4,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => [1,1,1,1] => 1
[2,3,1,4,5,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => [2,1,1] => 9
[2,3,1,4,6,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => [2,1,1] => 9
[2,3,1,4,6,7,5] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => [3,1] => 9
[2,3,1,4,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => [3,1] => 9
[2,3,1,4,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3,1] => [3,1] => 9
[2,3,1,5,4,6,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => [2,1,1] => 9
[2,3,1,5,4,7,6] => ([(0,3),(1,2),(4,6),(5,6)],7) => [3,2,2] => [2,2] => 4
[2,3,1,5,6,4,7] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => [3,1] => 9
[2,3,1,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [4,3] => [3] => 1
[2,3,1,5,7,4,6] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [4,3] => [3] => 1
[2,3,1,5,7,6,4] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,3] => [3] => 1
[2,3,1,6,4,5,7] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => [3,1] => 9
[2,3,1,6,4,7,5] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [4,3] => [3] => 1
[2,3,1,6,5,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3,1] => [3,1] => 9
[2,3,1,6,5,7,4] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,3] => [3] => 1
[2,3,1,6,7,4,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => [4,3] => [3] => 1
[2,3,1,6,7,5,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [4,3] => [3] => 1
[2,3,1,7,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [4,3] => [3] => 1
[2,3,1,7,4,6,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,3] => [3] => 1
[2,3,1,7,5,4,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,3] => [3] => 1
[2,3,1,7,5,6,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [4,3] => [3] => 1
[2,3,1,7,6,4,5] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [4,3] => [3] => 1
[2,3,1,7,6,5,4] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3] => [3] => 1
[2,3,4,1,5,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[2,3,4,1,5,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[2,3,4,1,6,5,7] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[2,3,4,1,6,7,5] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [4,3] => [3] => 1
[2,3,4,1,7,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [4,3] => [3] => 1
[2,3,4,1,7,6,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [4,3] => [3] => 1
[2,3,4,5,1,6,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,3,5,1,4,6,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => [1,1] => 1
[2,3,5,1,4,7,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [5,2] => [2] => 1
[2,3,5,4,1,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[2,3,5,4,1,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,4,1,3,5,6,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[2,4,1,3,5,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => [2,1] => 4
[2,4,1,3,6,5,7] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => [2,1] => 4
[2,4,1,3,6,7,5] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [4,3] => [3] => 1
[2,4,1,3,7,5,6] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [4,3] => [3] => 1
[2,4,1,3,7,6,5] => ([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7) => [4,3] => [3] => 1
[2,4,1,5,3,6,7] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => [1,1] => 1
[2,4,1,5,3,7,6] => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,4,3,1,5,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[2,4,3,1,5,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[2,4,3,1,6,5,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[2,4,3,1,6,7,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,3] => [3] => 1
[2,4,3,1,7,5,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,3] => [3] => 1
[2,4,3,1,7,6,5] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,3] => [3] => 1
[2,4,3,5,1,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[2,4,3,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,4,5,1,3,6,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[2,4,5,1,3,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [2] => 1
[2,4,5,3,1,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[2,4,5,3,1,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,5,1,3,4,6,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => [1,1] => 1
[2,5,1,3,4,7,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [5,2] => [2] => 1
[2,5,1,4,3,6,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[2,5,1,4,3,7,6] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,5,3,1,4,6,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[2,5,3,1,4,7,6] => ([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,5,3,4,1,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[2,5,3,4,1,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,5,4,1,3,6,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[2,5,4,1,3,7,6] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[2,5,4,3,1,6,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[2,5,4,3,1,7,6] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[3,1,2,4,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => [1,1,1,1] => 1
[3,1,2,4,5,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => [2,1,1] => 9
[3,1,2,4,6,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => [2,1,1] => 9
[3,1,2,4,6,7,5] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => [3,1] => 9
[3,1,2,4,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => [3,1] => 9
[3,1,2,4,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3,1] => [3,1] => 9
[3,1,2,5,4,6,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => [2,1,1] => 9
[3,1,2,5,4,7,6] => ([(0,3),(1,2),(4,6),(5,6)],7) => [3,2,2] => [2,2] => 4
[3,1,2,5,6,4,7] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => [3,1] => 9
[3,1,2,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [4,3] => [3] => 1
[3,1,2,5,7,4,6] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [4,3] => [3] => 1
[3,1,2,5,7,6,4] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,3] => [3] => 1
[3,1,2,6,4,5,7] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => [3,1] => 9
[3,1,2,6,4,7,5] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [4,3] => [3] => 1
[3,1,2,6,5,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3,1] => [3,1] => 9
[3,1,2,6,5,7,4] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,3] => [3] => 1
[3,1,2,6,7,4,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => [4,3] => [3] => 1
[3,1,2,6,7,5,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [4,3] => [3] => 1
[3,1,2,7,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [4,3] => [3] => 1
[3,1,2,7,4,6,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,3] => [3] => 1
[3,1,2,7,5,4,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,3] => [3] => 1
[3,1,2,7,5,6,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [4,3] => [3] => 1
[3,1,2,7,6,4,5] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [4,3] => [3] => 1
[3,1,2,7,6,5,4] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3] => [3] => 1
[3,1,4,2,5,6,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[3,1,4,2,5,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => [2,1] => 4
[3,1,4,2,6,5,7] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => [2,1] => 4
[3,1,4,2,6,7,5] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [4,3] => [3] => 1
[3,1,4,2,7,5,6] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [4,3] => [3] => 1
[3,1,4,2,7,6,5] => ([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7) => [4,3] => [3] => 1
[3,1,4,5,2,6,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => [1,1] => 1
[3,1,4,5,2,7,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [5,2] => [2] => 1
[3,1,5,2,4,6,7] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => [1,1] => 1
[3,1,5,2,4,7,6] => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => [5,2] => [2] => 1
[3,1,5,4,2,6,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[3,1,5,4,2,7,6] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[3,2,1,4,5,6,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,1,1,1] => 1
[3,2,1,4,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [2,1,1] => 9
[3,2,1,4,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [2,1,1] => 9
[3,2,1,4,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3,1] => [3,1] => 9
[3,2,1,4,7,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3,1] => [3,1] => 9
[3,2,1,4,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => [3,3,1] => [3,1] => 9
[3,2,1,5,4,6,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [2,1,1] => 9
[3,2,1,5,4,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => [3,2,2] => [2,2] => 4
[3,2,1,5,6,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3,1] => [3,1] => 9
[3,2,1,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [4,3] => [3] => 1
[3,2,1,5,7,4,6] => ([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7) => [4,3] => [3] => 1
[3,2,1,5,7,6,4] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,3] => [3] => 1
[3,2,1,6,4,5,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3,1] => [3,1] => 9
[3,2,1,6,4,7,5] => ([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7) => [4,3] => [3] => 1
[3,2,1,6,5,4,7] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => [3,3,1] => [3,1] => 9
[3,2,1,6,5,7,4] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,3] => [3] => 1
[3,2,1,6,7,4,5] => ([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7) => [4,3] => [3] => 1
[3,2,1,6,7,5,4] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3] => [3] => 1
[3,2,1,7,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [4,3] => [3] => 1
[3,2,1,7,4,6,5] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,3] => [3] => 1
[3,2,1,7,5,4,6] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,3] => [3] => 1
[3,2,1,7,5,6,4] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3] => [3] => 1
[3,2,1,7,6,4,5] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3] => [3] => 1
[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) => [4,3] => [3] => 1
[3,2,4,1,5,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[3,2,4,1,5,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[3,2,4,1,6,5,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[3,2,4,1,6,7,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,3] => [3] => 1
[3,2,4,1,7,5,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,3] => [3] => 1
[3,2,4,1,7,6,5] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,3] => [3] => 1
[3,2,4,5,1,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[3,2,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[3,2,5,1,4,6,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[3,2,5,1,4,7,6] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[3,2,5,4,1,6,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[3,2,5,4,1,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,2] => [2] => 1
[3,4,1,2,5,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => [1,1,1] => 1
[3,4,1,2,5,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [2,1] => 4
[3,4,1,2,6,5,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [2,1] => 4
[3,4,1,2,6,7,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => [4,3] => [3] => 1
[3,4,1,2,7,5,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => [4,3] => [3] => 1
[3,4,1,2,7,6,5] => ([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7) => [4,3] => [3] => 1
[3,4,1,5,2,6,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[3,4,1,5,2,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [2] => 1
[3,4,2,1,5,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[3,4,2,1,5,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[3,4,2,1,6,5,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[3,4,2,1,6,7,5] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [4,3] => [3] => 1
[3,4,2,1,7,5,6] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [4,3] => [3] => 1
[3,4,2,1,7,6,5] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3] => [3] => 1
[3,4,2,5,1,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[3,4,2,5,1,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[3,4,5,1,2,6,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => [1,1] => 1
[3,4,5,1,2,7,6] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [2] => 1
[3,4,5,2,1,6,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[3,4,5,2,1,7,6] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[3,5,1,2,4,6,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[3,5,1,2,4,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [2] => 1
[3,5,1,4,2,6,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[3,5,1,4,2,7,6] => ([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[3,5,2,1,4,6,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[3,5,2,1,4,7,6] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[3,5,2,4,1,6,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[3,5,2,4,1,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[3,5,4,1,2,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => [1,1] => 1
[3,5,4,1,2,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [2] => 1
[3,5,4,2,1,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[3,5,4,2,1,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[4,1,2,3,5,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[4,1,2,3,5,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[4,1,2,3,6,5,7] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[4,1,2,3,6,7,5] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [4,3] => [3] => 1
[4,1,2,3,7,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [4,3] => [3] => 1
[4,1,2,3,7,6,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [4,3] => [3] => 1
[4,1,2,5,3,6,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => [1,1] => 1
[4,1,2,5,3,7,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [5,2] => [2] => 1
[4,1,3,2,5,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[4,1,3,2,5,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[4,1,3,2,6,5,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[4,1,3,2,6,7,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,3] => [3] => 1
[4,1,3,2,7,5,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,3] => [3] => 1
[4,1,3,2,7,6,5] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,3] => [3] => 1
[4,1,3,5,2,6,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[4,1,3,5,2,7,6] => ([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[4,1,5,2,3,6,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[4,1,5,2,3,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [2] => 1
[4,1,5,3,2,6,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[4,1,5,3,2,7,6] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[4,2,1,3,5,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[4,2,1,3,5,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[4,2,1,3,6,5,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[4,2,1,3,6,7,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,3] => [3] => 1
[4,2,1,3,7,5,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,3] => [3] => 1
[4,2,1,3,7,6,5] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,3] => [3] => 1
[4,2,1,5,3,6,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[4,2,1,5,3,7,6] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[4,2,3,1,5,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[4,2,3,1,5,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[4,2,3,1,6,5,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[4,2,3,1,6,7,5] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [4,3] => [3] => 1
[4,2,3,1,7,5,6] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [4,3] => [3] => 1
[4,2,3,1,7,6,5] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3] => [3] => 1
[4,2,3,5,1,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[4,2,3,5,1,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[4,2,5,1,3,6,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[4,2,5,1,3,7,6] => ([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[4,2,5,3,1,6,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[4,2,5,3,1,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[4,3,1,2,5,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[4,3,1,2,5,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[4,3,1,2,6,5,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[4,3,1,2,6,7,5] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [4,3] => [3] => 1
[4,3,1,2,7,5,6] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [4,3] => [3] => 1
[4,3,1,2,7,6,5] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3] => [3] => 1
[4,3,1,5,2,6,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[4,3,1,5,2,7,6] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[4,3,2,1,5,6,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1] => 1
[4,3,2,1,5,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[4,3,2,1,6,5,7] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [2,1] => 4
[4,3,2,1,6,7,5] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3] => [3] => 1
[4,3,2,1,7,5,6] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3] => [3] => 1
[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) => [4,3] => [3] => 1
[4,3,2,5,1,6,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[4,3,2,5,1,7,6] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[4,3,5,1,2,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => [1,1] => 1
[4,3,5,1,2,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [2] => 1
[4,3,5,2,1,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[4,3,5,2,1,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[4,5,1,2,3,6,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => [1,1] => 1
[4,5,1,2,3,7,6] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [2] => 1
[4,5,1,3,2,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => [1,1] => 1
[4,5,1,3,2,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [2] => 1
[4,5,2,1,3,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => [1,1] => 1
[4,5,2,1,3,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [2] => 1
[4,5,2,3,1,6,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[4,5,2,3,1,7,6] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,2] => [2] => 1
[4,5,3,1,2,6,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[4,5,3,1,2,7,6] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,2] => [2] => 1
[4,5,3,2,1,6,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[4,5,3,2,1,7,6] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[5,1,2,3,4,6,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[5,1,2,3,4,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => [5,2] => [2] => 1
[5,1,2,4,3,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[5,1,2,4,3,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[5,1,3,2,4,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[5,1,3,2,4,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[5,1,3,4,2,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[5,1,3,4,2,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[5,1,4,2,3,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[5,1,4,2,3,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[5,1,4,3,2,6,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[5,1,4,3,2,7,6] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[5,2,1,3,4,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[5,2,1,3,4,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[5,2,1,4,3,6,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[5,2,1,4,3,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,2] => [2] => 1
[5,2,3,1,4,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[5,2,3,1,4,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[5,2,3,4,1,6,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[5,2,3,4,1,7,6] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[5,2,4,1,3,6,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[5,2,4,1,3,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[5,2,4,3,1,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[5,2,4,3,1,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[5,3,1,2,4,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[5,3,1,2,4,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[5,3,1,4,2,6,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[5,3,1,4,2,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[5,3,2,1,4,6,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[5,3,2,1,4,7,6] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[5,3,2,4,1,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[5,3,2,4,1,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[5,3,4,1,2,6,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[5,3,4,1,2,7,6] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,2] => [2] => 1
[5,3,4,2,1,6,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[5,3,4,2,1,7,6] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[5,4,1,2,3,6,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[5,4,1,2,3,7,6] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[5,4,1,3,2,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[5,4,1,3,2,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[5,4,2,1,3,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[5,4,2,1,3,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[5,4,2,3,1,6,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[5,4,2,3,1,7,6] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[5,4,3,1,2,6,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1] => 1
[5,4,3,1,2,7,6] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2] => 1
[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) => [5,1,1] => [1,1] => 1
[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) => [5,2] => [2] => 1
[4,5,6,3,2,1,7,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[6,5,2,3,4,1,7,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[6,2,3,4,5,1,7,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[4,5,3,2,6,1,7,8] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[4,3,5,2,6,1,7,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[3,4,5,2,6,1,7,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[5,3,2,4,6,1,7,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[5,2,3,4,6,1,7,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[4,3,2,5,6,1,7,8] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[3,4,2,5,6,1,7,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[4,2,3,5,6,1,7,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[3,2,4,5,6,1,7,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[5,6,3,4,1,2,7,8] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => [1,1] => 1
[3,4,5,6,1,2,7,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => [1,1] => 1
[6,5,4,1,2,3,7,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[4,5,6,1,2,3,7,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [6,1,1] => [1,1] => 1
[6,3,4,2,1,5,7,8] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[6,4,3,1,2,5,7,8] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[6,4,2,1,3,5,7,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[6,4,1,2,3,5,7,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[6,2,3,1,4,5,7,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[6,3,1,2,4,5,7,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[2,3,4,5,1,6,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => [1,1,1] => 1
[5,1,2,3,4,6,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => [1,1,1] => 1
[4,3,2,1,5,6,7,8] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => [1,1,1,1] => 1
[3,4,1,2,5,6,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => [1,1,1,1] => 1
[1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[2,1,8,7,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[2,1,6,7,8,5,4,3] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[2,1,6,5,8,7,4,3] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[2,1,5,6,7,8,4,3] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[1,2,6,7,8,5,4,3] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,5,6,8,7,4,3] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,5,7,6,8,4,3] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,6,5,7,8,4,3] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,5,6,7,8,4,3] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,4,6,8,7,5,3] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,4,6,7,8,5,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,4,5,8,7,6,3] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,4,5,7,8,6,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,4,5,6,8,7,3] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,5,7,6,4,8,3] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,5,6,7,4,8,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,4,7,6,5,8,3] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,6,5,4,7,8,3] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,5,4,6,7,8,3] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[3,2,1,8,7,6,5,4] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,3] => [3] => 1
[3,2,1,6,7,8,5,4] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,3] => [3] => 1
[3,2,1,6,5,8,7,4] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [5,3] => [3] => 1
[2,3,1,6,5,8,7,4] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7)],8) => [5,3] => [3] => 1
[1,2,3,5,6,7,8,4] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => [1,1,1] => 1
[4,3,2,1,8,7,6,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8) => [4,4] => [4] => 1
[4,3,2,1,7,8,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,7)],8) => [4,4] => [4] => 1
[4,3,2,1,6,8,7,5] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8) => [4,4] => [4] => 1
[4,3,2,1,7,6,8,5] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8) => [4,4] => [4] => 1
[4,3,2,1,6,7,8,5] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8) => [4,4] => [4] => 1
[3,4,2,1,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,7)],8) => [4,4] => [4] => 1
[3,4,2,1,7,8,6,5] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(6,7)],8) => [4,4] => [4] => 1
[2,4,3,1,8,7,6,5] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8) => [4,4] => [4] => 1
[2,4,3,1,6,8,7,5] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [4,4] => [4] => 1
[2,4,3,1,7,6,8,5] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [4,4] => [4] => 1
[3,2,4,1,8,7,6,5] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8) => [4,4] => [4] => 1
[3,2,4,1,6,8,7,5] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [4,4] => [4] => 1
[3,2,4,1,7,6,8,5] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [4,4] => [4] => 1
[2,3,4,1,8,7,6,5] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8) => [4,4] => [4] => 1
[2,3,4,1,6,7,8,5] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => [4,4] => [4] => 1
[1,4,3,2,8,7,6,5] => ([(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,3,1] => [3,1] => 9
[1,3,4,2,8,7,6,5] => ([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,3,1] => [3,1] => 9
[2,1,4,3,8,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,2] => [2,2] => 4
[2,1,4,3,7,8,6,5] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,2] => [2,2] => 4
[1,2,4,3,8,7,6,5] => ([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,1,1] => [2,1,1] => 9
[3,2,1,4,8,7,6,5] => ([(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,3,1] => [3,1] => 9
[2,3,1,4,8,7,6,5] => ([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,3,1] => [3,1] => 9
[1,3,2,4,8,7,6,5] => ([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,1,1] => [2,1,1] => 9
[2,1,3,4,8,7,6,5] => ([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,1,1] => [2,1,1] => 9
[1,2,3,4,8,7,6,5] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => [1,1,1,1] => 1
[5,4,3,2,1,8,7,6] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,3] => [3] => 1
[3,4,5,2,1,8,7,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,3] => [3] => 1
[3,2,5,4,1,8,7,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [5,3] => [3] => 1
[3,2,5,4,1,7,8,6] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7)],8) => [5,3] => [3] => 1
[1,5,4,3,2,8,7,6] => ([(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,3,1] => [3,1] => 9
[1,5,4,3,2,7,8,6] => ([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,3,1] => [3,1] => 9
[1,2,5,4,3,8,7,6] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [3,3,1,1] => [3,1,1] => 36
[1,2,4,5,3,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => [3,1,1] => 36
[4,3,2,1,5,7,8,6] => ([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,3,1] => [3,1] => 9
[1,4,3,2,5,8,7,6] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [3,3,1,1] => [3,1,1] => 36
[1,3,4,2,5,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => [3,1,1] => 36
[3,2,1,4,5,8,7,6] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [3,3,1,1] => [3,1,1] => 36
[2,3,1,4,5,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => [3,1,1] => 36
[6,5,4,3,2,1,8,7] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[4,5,6,3,2,1,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[4,3,6,5,2,1,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[2,1,6,5,4,3,8,7] => ([(0,3),(1,2),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,2] => [2,2] => 4
[2,1,5,6,4,3,8,7] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,2] => [2,2] => 4
[4,3,2,1,6,5,8,7] => ([(0,3),(1,2),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,2] => [2,2] => 4
[3,4,2,1,6,5,8,7] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,2] => [2,2] => 4
[2,1,4,3,6,5,8,7] => ([(0,7),(1,6),(2,5),(3,4)],8) => [2,2,2,2] => [2,2,2] => 25
[1,2,3,4,6,5,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => [2,1,1,1,1] => 25
[1,2,3,5,4,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => [2,1,1,1,1] => 25
[4,3,2,1,5,6,8,7] => ([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,1,1] => [2,1,1] => 9
[1,2,4,3,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => [2,1,1,1,1] => 25
[1,3,2,4,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => [2,1,1,1,1] => 25
[2,1,3,4,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => [2,1,1,1,1] => 25
[1,5,6,7,4,3,2,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,4,6,7,5,3,2,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,5,6,4,7,3,2,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,4,6,5,7,3,2,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,5,4,6,7,3,2,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,3,6,7,5,4,2,8] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,3,5,7,6,4,2,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,3,6,5,7,4,2,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,3,5,6,7,4,2,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,3,4,6,7,5,2,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,3,4,5,7,6,2,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,5,4,6,3,7,2,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,3,6,5,4,7,2,8] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,3,5,6,4,7,2,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,5,4,3,6,7,2,8] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,4,5,3,6,7,2,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,4,5,6,7,3,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => [1,1,1] => 1
[3,2,1,7,6,5,4,8] => ([(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,3,1] => [3,1] => 9
[1,3,2,7,6,5,4,8] => ([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,1,1] => [2,1,1] => 9
[1,2,3,7,6,5,4,8] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => [1,1,1,1] => 1
[4,3,2,1,7,6,5,8] => ([(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,3,1] => [3,1] => 9
[1,4,3,2,7,6,5,8] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [3,3,1,1] => [3,1,1] => 36
[1,3,4,2,6,7,5,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => [3,1,1] => 36
[3,2,1,4,7,6,5,8] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [3,3,1,1] => [3,1,1] => 36
[2,3,1,4,6,7,5,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => [3,1,1] => 36
[1,5,4,3,2,7,6,8] => ([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,1,1] => [2,1,1] => 9
[1,2,3,5,4,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => [2,1,1,1,1] => 25
[1,2,4,3,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => [2,1,1,1,1] => 25
[1,3,2,4,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => [2,1,1,1,1] => 25
[2,1,3,4,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => [2,1,1,1,1] => 25
[2,4,6,5,3,1,7,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[2,4,5,6,3,1,7,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[2,3,5,6,4,1,7,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[2,3,4,6,5,1,7,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[3,5,4,2,6,1,7,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[2,3,5,4,6,1,7,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,3,4,5,6,2,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => [1,1,1] => 1
[1,2,6,5,4,3,7,8] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => [1,1,1,1] => 1
[3,2,1,6,5,4,7,8] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [3,3,1,1] => [3,1,1] => 36
[2,3,1,5,6,4,7,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => [3,1,1] => 36
[4,3,2,1,6,5,7,8] => ([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,1,1] => [2,1,1] => 9
[1,2,4,3,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => [2,1,1,1,1] => 25
[1,3,2,4,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => [2,1,1,1,1] => 25
[2,1,3,4,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => [2,1,1,1,1] => 25
[1,5,4,3,2,6,7,8] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => [1,1,1,1] => 1
[1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => [2,1,1,1,1] => 25
[2,1,3,5,4,6,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => [2,1,1,1,1] => 25
[2,1,4,3,5,6,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => [2,1,1,1,1] => 25
[1,2,4,5,8,6,7,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,4,7,5,6,8,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,4,8,5,6,7,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,4,8,6,5,7,3] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,6,4,5,7,8,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,7,4,5,6,8,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,8,4,5,6,7,3] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,8,4,6,7,5,3] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,8,5,4,6,7,3] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,8,5,6,4,7,3] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,8,5,6,7,4,3] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,3,6,4,5,7,2,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,3,7,4,5,6,2,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,5,3,4,6,7,2,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,7,3,4,5,6,2,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,7,3,5,4,6,2,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[2,1,4,3,8,6,7,5] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,2] => [2,2] => 4
[2,1,6,4,5,3,8,7] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,2] => [2,2] => 4
[2,1,8,4,5,6,7,3] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[2,1,8,5,4,7,6,3] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[2,1,8,5,6,7,4,3] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[2,3,1,8,6,7,5,4] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,3] => [3] => 1
[2,3,6,4,5,1,7,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[2,6,3,4,5,1,7,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[3,2,1,8,5,6,7,4] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,3] => [3] => 1
[4,2,3,1,6,5,8,7] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,2] => [2,2] => 4
[4,2,3,1,8,6,7,5] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(6,7)],8) => [4,4] => [4] => 1
[4,2,3,1,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,7)],8) => [4,4] => [4] => 1
[5,2,3,4,1,8,7,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,3] => [3] => 1
[6,2,3,4,5,1,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[6,2,3,5,4,1,7,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[5,2,4,3,6,1,7,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[4,3,2,1,8,6,7,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,7)],8) => [4,4] => [4] => 1
[6,3,2,5,4,1,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[5,3,4,2,1,7,8,6] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,3] => [3] => 1
[6,3,4,5,2,1,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[2,4,1,3,6,8,5,7] => ([(0,7),(1,5),(2,4),(3,6),(4,5),(6,7)],8) => [4,4] => [4] => 1
[2,4,1,3,7,5,8,6] => ([(0,7),(1,5),(2,4),(3,6),(4,5),(6,7)],8) => [4,4] => [4] => 1
[2,1,4,3,7,8,5,6] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7)],8) => [4,2,2] => [2,2] => 4
[2,4,5,1,3,7,8,6] => ([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8) => [5,3] => [3] => 1
[2,1,4,5,8,3,6,7] => ([(0,1),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => [6,2] => [2] => 1
[2,4,1,3,5,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => [1,1,1,1] => 1
[2,4,5,1,6,3,7,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => [1,1] => 1
[2,1,5,6,3,4,8,7] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7)],8) => [4,2,2] => [2,2] => 4
[2,1,5,6,7,8,3,4] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,2] => [2] => 1
[2,1,5,7,3,8,4,6] => ([(0,1),(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8) => [6,2] => [2] => 1
[2,3,1,5,7,8,4,6] => ([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8) => [5,3] => [3] => 1
[2,1,6,7,8,3,4,5] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [6,2] => [2] => 1
[2,1,6,3,4,7,8,5] => ([(0,1),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => [6,2] => [2] => 1
[2,3,1,6,8,4,5,7] => ([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8) => [5,3] => [3] => 1
[2,3,6,1,4,5,8,7] => ([(0,1),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => [6,2] => [2] => 1
[2,3,1,6,4,5,7,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => [3,1,1] => 36
[2,1,7,8,3,4,5,6] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,2] => [2] => 1
[2,3,1,7,4,8,5,6] => ([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8) => [5,3] => [3] => 1
[2,3,1,4,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => [3,1,1] => 36
[2,3,4,1,8,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => [4,4] => [4] => 1
[2,3,1,4,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => [3,1,1] => 36
[3,4,1,2,6,5,8,7] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7)],8) => [4,2,2] => [2,2] => 4
[3,1,4,2,6,8,5,7] => ([(0,7),(1,5),(2,4),(3,6),(4,5),(6,7)],8) => [4,4] => [4] => 1
[3,1,4,2,7,5,8,6] => ([(0,7),(1,5),(2,4),(3,6),(4,5),(6,7)],8) => [4,4] => [4] => 1
[3,4,1,2,7,8,5,6] => ([(0,6),(0,7),(1,3),(1,4),(2,3),(2,4),(5,6),(5,7)],8) => [4,4] => [4] => 1
[3,4,1,5,2,8,6,7] => ([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8) => [5,3] => [3] => 1
[3,4,5,6,1,2,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,2] => [2] => 1
[3,1,4,2,5,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => [1,1,1,1] => 1
[3,5,1,6,2,4,8,7] => ([(0,1),(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8) => [6,2] => [2] => 1
[3,5,1,2,4,7,8,6] => ([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8) => [5,3] => [3] => 1
[3,5,1,2,4,8,6,7] => ([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8) => [5,3] => [3] => 1
[1,3,5,2,4,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => [1,1,1,1] => 1
[1,3,5,6,2,7,4,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => [1,1] => 1
[3,1,2,6,7,4,8,5] => ([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8) => [5,3] => [3] => 1
[3,1,2,6,8,4,5,7] => ([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8) => [5,3] => [3] => 1
[3,1,2,4,6,7,5,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => [3,1,1] => 36
[3,1,2,7,4,8,5,6] => ([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8) => [5,3] => [3] => 1
[3,1,2,4,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => [3,1,1] => 36
[3,1,2,4,5,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => [3,1,1] => 36
[3,1,2,4,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => [3,1,1] => 36
[1,3,4,2,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => [3,1,1] => 36
[4,5,6,1,2,3,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [6,2] => [2] => 1
[4,1,5,2,3,7,8,6] => ([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8) => [5,3] => [3] => 1
[4,1,5,2,3,8,6,7] => ([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8) => [5,3] => [3] => 1
[4,1,2,5,6,3,8,7] => ([(0,1),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => [6,2] => [2] => 1
[1,4,2,5,3,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => [1,1,1,1] => 1
[1,4,5,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => [1,1,1,1] => 1
[1,4,5,6,7,2,3,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => [1,1] => 1
[4,1,6,2,3,5,7,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => [1,1] => 1
[1,2,4,6,3,5,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => [1,1,1,1] => 1
[1,4,2,3,6,7,5,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => [3,1,1] => 36
[4,1,2,3,6,7,8,5] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => [4,4] => [4] => 1
[1,4,2,3,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => [3,1,1] => 36
[1,4,2,3,5,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => [3,1,1] => 36
[4,1,2,3,8,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => [4,4] => [4] => 1
[1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => [3,1,1] => 36
[1,2,4,5,3,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => [3,1,1] => 36
[1,5,6,7,2,3,4,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [6,1,1] => [1,1] => 1
[5,6,1,2,3,4,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,2] => [2] => 1
[1,2,5,3,6,4,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => [1,1,1,1] => 1
[1,2,5,6,3,4,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => [1,1,1,1] => 1
[1,2,5,6,7,8,3,4] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => [1,1] => 1
[1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => [1,1] => 1
[1,2,3,5,7,4,6,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => [1,1,1,1] => 1
[1,2,5,3,4,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => [3,1,1] => 36
[1,2,5,3,4,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => [3,1,1] => 36
[1,2,6,7,8,3,4,5] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [6,1,1] => [1,1] => 1
[1,6,7,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => [1,1] => 1
[1,2,3,6,4,7,5,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => [1,1,1,1] => 1
[1,2,3,6,7,4,5,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => [1,1,1,1] => 1
[1,2,6,3,8,4,5,7] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => [1,1] => 1
[1,2,3,4,6,8,5,7] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => [1,1,1,1] => 1
[1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => [1,1,1] => 1
[1,2,7,8,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => [1,1] => 1
[1,2,3,4,7,5,8,6] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => [1,1,1,1] => 1
[1,2,3,4,7,8,5,6] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => [1,1,1,1] => 1
[1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => [1,1,1] => 1
[1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => [1,1,1] => 1
[5,3,2,6,1,4,8,7] => ([(0,1),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[6,4,5,2,3,1,8,7] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[5,4,6,2,1,3,8,7] => ([(0,1),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[3,6,1,5,4,2,8,7] => ([(0,1),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[4,6,5,1,3,2,8,7] => ([(0,1),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[5,6,4,3,1,2,8,7] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[2,1,7,5,4,8,3,6] => ([(0,1),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[2,1,8,6,7,4,5,3] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[2,1,7,6,8,4,3,5] => ([(0,1),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[4,3,2,1,7,8,5,6] => ([(0,2),(0,3),(1,2),(1,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,4] => [4] => 1
[3,4,1,2,8,7,6,5] => ([(0,2),(0,3),(1,2),(1,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,4] => [4] => 1
[2,1,5,8,3,7,6,4] => ([(0,1),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[2,1,6,8,7,3,5,4] => ([(0,1),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[2,1,7,8,6,5,3,4] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[4,2,5,1,3,6,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => [1,1,1] => 1
[5,3,2,6,1,4,7,8] => ([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[3,5,2,6,1,4,8,7] => ([(0,1),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[3,5,2,6,4,1,8,7] => ([(0,1),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [6,2] => [2] => 1
[4,5,6,2,3,1,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [6,2] => [2] => 1
[4,5,6,2,1,3,8,7] => ([(0,1),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[3,5,1,6,4,2,8,7] => ([(0,1),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[4,5,6,1,3,2,8,7] => ([(0,1),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[4,5,6,3,1,2,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [6,2] => [2] => 1
[2,1,5,7,4,8,3,6] => ([(0,1),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[2,1,5,7,4,8,6,3] => ([(0,1),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [6,2] => [2] => 1
[2,1,6,7,8,4,5,3] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [6,2] => [2] => 1
[2,1,6,7,8,4,3,5] => ([(0,1),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[3,4,2,1,7,8,5,6] => ([(0,2),(0,3),(1,2),(1,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,4] => [4] => 1
[3,4,1,2,7,8,6,5] => ([(0,2),(0,3),(1,2),(1,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,4] => [4] => 1
[2,1,5,7,3,8,6,4] => ([(0,1),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[2,1,6,7,8,3,5,4] => ([(0,1),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[2,1,6,7,8,5,3,4] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [6,2] => [2] => 1
[1,6,7,4,5,2,3,8] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => [1,1] => 1
[1,5,4,7,6,2,3,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => [1,1] => 1
[4,1,3,2,8,6,5,7] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [4,4] => [4] => 1
[1,5,3,7,2,6,4,8] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,6,7,3,2,5,4,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => [1,1] => 1
[4,3,1,2,8,7,5,6] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(6,7)],8) => [4,4] => [4] => 1
[4,2,1,3,8,5,7,6] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [4,4] => [4] => 1
[4,3,1,2,6,5,8,7] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,2] => [2,2] => 4
[5,3,1,6,2,4,8,7] => ([(0,1),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[6,3,1,5,2,4,8,7] => ([(0,1),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [6,2] => [2] => 1
[6,4,5,1,2,3,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [6,2] => [2] => 1
[5,4,6,1,2,3,8,7] => ([(0,1),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[2,1,6,5,3,4,8,7] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,2] => [2,2] => 4
[3,6,1,5,2,4,8,7] => ([(0,1),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[4,6,5,1,2,3,8,7] => ([(0,1),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[5,6,4,1,2,3,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [6,2] => [2] => 1
[6,5,4,1,2,3,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[2,1,7,5,3,8,4,6] => ([(0,1),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[2,1,8,5,3,7,4,6] => ([(0,1),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [6,2] => [2] => 1
[2,1,8,6,7,3,4,5] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [6,2] => [2] => 1
[2,1,7,6,8,3,4,5] => ([(0,1),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[4,3,1,2,7,8,5,6] => ([(0,2),(0,3),(1,2),(1,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,4] => [4] => 1
[2,1,4,3,8,7,5,6] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,2] => [2,2] => 4
[3,4,1,2,8,7,5,6] => ([(0,2),(0,3),(1,2),(1,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,4] => [4] => 1
[2,1,5,8,3,7,4,6] => ([(0,1),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[2,1,6,8,7,3,4,5] => ([(0,1),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[2,1,7,8,6,3,4,5] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [6,2] => [2] => 1
[2,1,8,7,6,3,4,5] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[4,3,2,1,6,8,5,7] => ([(0,3),(1,2),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,4] => [4] => 1
[4,3,2,1,8,6,5,7] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8) => [4,4] => [4] => 1
[4,3,2,1,8,7,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,7)],8) => [4,4] => [4] => 1
[4,3,2,1,8,5,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8) => [4,4] => [4] => 1
[4,3,2,1,8,5,6,7] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8) => [4,4] => [4] => 1
[4,3,2,1,5,8,6,7] => ([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,3,1] => [3,1] => 9
[1,2,5,8,3,7,6,4] => ([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[2,4,1,3,8,7,6,5] => ([(0,3),(1,2),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,4] => [4] => 1
[4,2,1,3,8,7,6,5] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8) => [4,4] => [4] => 1
[4,1,2,3,8,7,6,5] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8) => [4,4] => [4] => 1
[1,4,2,3,8,7,6,5] => ([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,3,1] => [3,1] => 9
[4,1,3,2,8,7,6,5] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8) => [4,4] => [4] => 1
[4,3,1,2,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,7)],8) => [4,4] => [4] => 1
[3,1,4,2,8,7,6,5] => ([(0,3),(1,2),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,4] => [4] => 1
[3,1,2,4,8,7,6,5] => ([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,3,1] => [3,1] => 9
[4,1,3,2,8,5,7,6] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [4,4] => [4] => 1
[3,2,1,6,4,7,8,5] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [5,3] => [3] => 1
[3,2,1,7,8,5,6,4] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [5,3] => [3] => 1
[4,5,2,3,1,8,7,6] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [5,3] => [3] => 1
[3,1,2,6,5,8,7,4] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7)],8) => [5,3] => [3] => 1
[3,1,5,2,4,8,7,6] => ([(0,7),(1,6),(2,3),(2,4),(3,4),(5,6),(5,7)],8) => [5,3] => [3] => 1
[4,5,1,2,3,8,7,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [5,3] => [3] => 1
[5,4,1,2,3,8,7,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,3] => [3] => 1
[3,1,2,7,8,5,6,4] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [5,3] => [3] => 1
[3,1,2,8,7,5,6,4] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,3] => [3] => 1
[2,1,6,5,7,8,3,4] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [6,2] => [2] => 1
[2,1,7,8,5,6,4,3] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[2,4,3,1,8,5,7,6] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [4,4] => [4] => 1
[4,1,3,2,6,8,7,5] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [4,4] => [4] => 1
[3,2,1,6,4,8,5,7] => ([(0,7),(1,6),(2,3),(2,4),(3,4),(5,6),(5,7)],8) => [5,3] => [3] => 1
[3,2,1,7,8,4,5,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [5,3] => [3] => 1
[3,2,5,4,1,8,6,7] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7)],8) => [5,3] => [3] => 1
[4,5,2,3,1,8,6,7] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [5,3] => [3] => 1
[5,4,2,3,1,8,6,7] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,3] => [3] => 1
[3,2,1,8,7,4,5,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,3] => [3] => 1
[4,3,5,6,1,2,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [6,2] => [2] => 1
[6,5,2,1,4,3,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[2,1,8,7,4,3,6,5] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[3,2,1,5,8,4,6,7] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [5,3] => [3] => 1
[2,1,8,7,3,4,5,6] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[1,2,8,7,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[5,6,2,1,3,4,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [6,2] => [2] => 1
[2,1,7,8,4,3,5,6] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [6,2] => [2] => 1
[1,7,2,4,3,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,7,2,6,3,4,5,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,7,2,6,3,5,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,7,2,3,4,6,5,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[3,2,1,8,5,4,7,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [5,3] => [3] => 1
[3,2,1,8,6,7,4,5] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [5,3] => [3] => 1
[4,1,3,2,7,6,8,5] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [4,4] => [4] => 1
[4,2,1,3,7,6,8,5] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [4,4] => [4] => 1
[1,2,8,3,7,6,4,5] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,8,3,7,4,5,6] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,7,2,3,6,4,5,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[6,1,2,3,5,4,7,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,8,3,4,6,7,5] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[2,1,8,7,5,6,3,4] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[1,2,8,7,6,3,4,5] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[4,6,5,2,1,3,8,7] => ([(0,1),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[5,6,4,2,3,1,8,7] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[6,4,5,3,1,2,8,7] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[5,4,6,1,3,2,8,7] => ([(0,1),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[2,1,6,8,7,4,3,5] => ([(0,1),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[2,1,7,8,6,4,5,3] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[2,1,8,6,7,5,3,4] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[2,1,7,6,8,3,5,4] => ([(0,1),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[1,7,2,4,5,6,3,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[2,1,7,8,3,4,6,5] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [6,2] => [2] => 1
[5,2,1,4,3,7,8,6] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7)],8) => [5,3] => [3] => 1
[4,2,6,1,5,3,7,8] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8) => [6,1,1] => [1,1] => 1
[2,3,1,8,5,4,7,6] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7)],8) => [5,3] => [3] => 1
[3,4,5,1,2,8,7,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [5,3] => [3] => 1
[2,3,1,8,6,7,4,5] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [5,3] => [3] => 1
[3,2,4,1,8,5,7,6] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [4,4] => [4] => 1
[3,2,4,1,8,6,5,7] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [4,4] => [4] => 1
[1,2,8,5,4,3,6,7] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,8,7,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,8,3,6,5,7,4] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[6,2,4,3,1,5,7,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[4,2,1,3,8,6,5,7] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [4,4] => [4] => 1
[6,2,4,1,5,3,8,7] => ([(0,1),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [6,2] => [2] => 1
[2,1,8,4,6,3,7,5] => ([(0,1),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [6,2] => [2] => 1
[1,2,8,7,4,5,6,3] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[3,2,1,5,7,4,8,6] => ([(0,7),(1,6),(2,3),(2,4),(3,4),(5,6),(5,7)],8) => [5,3] => [3] => 1
[3,2,1,6,7,8,4,5] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [5,3] => [3] => 1
[5,6,1,2,4,3,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [6,2] => [2] => 1
[3,1,2,7,8,6,4,5] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [5,3] => [3] => 1
[1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,8,3,6,4,5,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[5,3,4,2,1,8,6,7] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,3] => [3] => 1
[1,7,2,3,5,4,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[2,1,8,5,6,7,3,4] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [6,2] => [2] => 1
[1,2,8,3,5,6,7,4] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,7,5,2,3,4,6,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[3,4,1,2,8,6,7,5] => ([(0,2),(0,3),(1,2),(1,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,4] => [4] => 1
[4,2,3,1,7,8,5,6] => ([(0,2),(0,3),(1,2),(1,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,4] => [4] => 1
[1,2,7,8,5,6,3,4] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => [1,1] => 1
[1,2,6,4,8,3,7,5] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8) => [6,1,1] => [1,1] => 1
[4,3,1,2,8,6,7,5] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(6,7)],8) => [4,4] => [4] => 1
[1,2,7,5,6,8,4,3] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,7,6,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,8,3,7,5,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[2,4,6,1,3,5,7,8,9] => ([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) => [6,1,1,1] => [1,1,1] => 1
[4,3,1,2,7,8,6,5] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(6,7)],8) => [4,4] => [4] => 1
[3,4,2,1,8,7,5,6] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(6,7)],8) => [4,4] => [4] => 1
[1,5,3,6,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => [1,1,1] => 1
[3,2,1,5,6,8,4,7] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [5,3] => [3] => 1
[1,7,6,3,2,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[4,2,3,1,7,8,6,5] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(6,7)],8) => [4,4] => [4] => 1
[3,4,2,1,8,6,7,5] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(6,7)],8) => [4,4] => [4] => 1
[3,6,1,5,4,2,7,8] => ([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,7,6,2,4,3,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,7,6,3,4,5,2,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,7,2,5,4,3,6,8] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[3,1,4,5,2,8,7,6] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [5,3] => [3] => 1
[4,1,2,5,3,8,7,6] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [5,3] => [3] => 1
[6,5,1,2,3,4,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[1,7,3,4,2,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[5,6,3,4,2,1,8,7] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[4,2,3,1,8,7,5,6] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(6,7)],8) => [4,4] => [4] => 1
[1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[6,5,3,4,1,2,8,7] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [2] => 1
[2,1,5,6,8,7,3,4] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [6,2] => [2] => 1
[1,2,7,5,4,8,3,6] => ([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[4,5,2,3,1,7,8,6] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [5,3] => [3] => 1
[2,3,1,7,8,6,4,5] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [5,3] => [3] => 1
[6,1,3,5,4,2,7,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,3,6,8,4,7,5] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => [1,1,1] => 1
[1,7,5,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,6,5,8,7,3,4] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => [1,1] => 1
[1,7,6,2,4,5,3,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,8,3,5,7,6,4] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[6,1,4,5,3,2,7,8] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[5,4,3,1,2,8,6,7] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,3] => [3] => 1
[1,2,7,8,4,3,6,5] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => [1,1] => 1
[1,2,8,6,4,5,7,3] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[4,1,5,2,6,3,7,8,9] => ([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) => [6,1,1,1] => [1,1,1] => 1
[1,2,8,3,7,4,6,5] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,8,7,3,4,6,5] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[2,3,1,8,7,6,4,5] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,3] => [3] => 1
[2,3,1,7,8,5,6,4] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [5,3] => [3] => 1
[1,4,6,2,5,3,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => [1,1,1] => 1
[1,7,2,6,4,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,7,2,5,4,6,3,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[2,3,5,1,4,8,7,6] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [5,3] => [3] => 1
[1,2,8,4,5,6,3,7] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,3,7,5,8,4,6] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => [1,1,1] => 1
[1,2,7,6,4,5,8,3] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[5,6,1,3,2,4,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [6,2] => [2] => 1
[1,7,3,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,7,2,4,5,3,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,7,4,5,3,2,6,8] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,7,6,4,2,3,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,7,2,4,6,5,3,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,4,7,2,6,5,3,8] => ([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[5,6,2,1,4,3,7,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => [1,1] => 1
[2,1,7,8,4,5,6,3] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [6,2] => [2] => 1
[6,1,3,4,2,5,7,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[6,5,1,3,4,2,7,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[4,3,6,5,1,2,7,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => [1,1] => 1
[1,2,5,8,6,7,4,3] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,7,4,3,2,5,6,8] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,8,3,5,6,4,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[6,1,2,5,3,4,7,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,6,4,7,3,5,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => [1,1,1] => 1
[1,6,4,3,7,2,5,8] => ([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,7,6,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,8,6,4,5,3,7] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[3,2,1,7,8,6,4,5] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [5,3] => [3] => 1
[4,5,3,1,2,8,6,7] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [5,3] => [3] => 1
[1,2,8,3,4,7,6,5] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,8,3,6,5,4,7] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[3,5,1,4,2,6,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => [1,1,1] => 1
[4,5,3,1,2,8,7,6] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [5,3] => [3] => 1
[6,1,2,4,3,5,7,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[3,1,2,8,7,6,4,5] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,3] => [3] => 1
[1,2,8,7,3,5,4,6] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[2,3,1,8,7,5,6,4] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,3] => [3] => 1
[3,1,2,8,5,4,7,6] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7)],8) => [5,3] => [3] => 1
[4,5,3,2,1,8,6,7] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,3] => [3] => 1
[5,4,2,3,1,7,8,6] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,3] => [3] => 1
[6,1,3,4,5,2,7,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[6,1,4,2,3,5,7,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,7,2,5,6,4,3,8] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[2,1,7,8,3,5,4,6] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [6,2] => [2] => 1
[1,2,8,3,4,6,5,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[2,6,5,3,4,1,7,8] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,6,4,5,7,3,2,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
[1,2,3,7,4,8,5,9,6] => ([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) => [6,1,1,1] => [1,1,1] => 1
[3,5,4,6,1,2,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [6,2] => [2] => 1
[1,7,3,5,4,2,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1] => 1
search for individual values
searching the database for the individual values of this statistic
Description
The Plancherel distribution on integer partitions.
This is defined as the distribution induced by the RSK shape of the uniform distribution on permutations. In other words, this is the size of the preimage of the map 'Robinson-Schensted tableau shape' from permutations to integer partitions.
Equivalently, this is given by the square of the number of standard Young tableaux of the given shape.
This is defined as the distribution induced by the RSK shape of the uniform distribution on permutations. In other words, this is the size of the preimage of the map 'Robinson-Schensted tableau shape' from permutations to integer partitions.
Equivalently, this is given by the square of the number of standard Young tableaux of the given shape.
Map
to partition of connected components
Description
Return the partition of the sizes of the connected components of the graph.
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.
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
first row removal
Description
Removes the first entry of an integer partition
searching the database
Sorry, this statistic was not found in the database
or
add this statistic to the database – it's very simple and we need your support!