Identifier
-
Mp00160:
Permutations
—graph of inversions⟶
Graphs
Mp00275: Graphs —to edge-partition of connected components⟶ Integer partitions
Mp00044: Integer partitions —conjugate⟶ Integer partitions
St000319: Integer partitions ⟶ ℤ (values match St000320The dinv adjustment of an integer partition.)
Values
[2,1] => ([(0,1)],2) => [1] => [1] => 0
[1,3,2] => ([(1,2)],3) => [1] => [1] => 0
[2,1,3] => ([(1,2)],3) => [1] => [1] => 0
[2,3,1] => ([(0,2),(1,2)],3) => [2] => [1,1] => 0
[3,1,2] => ([(0,2),(1,2)],3) => [2] => [1,1] => 0
[3,2,1] => ([(0,1),(0,2),(1,2)],3) => [3] => [1,1,1] => 0
[1,2,4,3] => ([(2,3)],4) => [1] => [1] => 0
[1,3,2,4] => ([(2,3)],4) => [1] => [1] => 0
[1,3,4,2] => ([(1,3),(2,3)],4) => [2] => [1,1] => 0
[1,4,2,3] => ([(1,3),(2,3)],4) => [2] => [1,1] => 0
[1,4,3,2] => ([(1,2),(1,3),(2,3)],4) => [3] => [1,1,1] => 0
[2,1,3,4] => ([(2,3)],4) => [1] => [1] => 0
[2,1,4,3] => ([(0,3),(1,2)],4) => [1,1] => [2] => 1
[2,3,1,4] => ([(1,3),(2,3)],4) => [2] => [1,1] => 0
[2,3,4,1] => ([(0,3),(1,3),(2,3)],4) => [3] => [1,1,1] => 0
[2,4,1,3] => ([(0,3),(1,2),(2,3)],4) => [3] => [1,1,1] => 0
[2,4,3,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => [4] => [1,1,1,1] => 0
[3,1,2,4] => ([(1,3),(2,3)],4) => [2] => [1,1] => 0
[3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => [3] => [1,1,1] => 0
[3,2,1,4] => ([(1,2),(1,3),(2,3)],4) => [3] => [1,1,1] => 0
[3,2,4,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => [4] => [1,1,1,1] => 0
[3,4,1,2] => ([(0,2),(0,3),(1,2),(1,3)],4) => [4] => [1,1,1,1] => 0
[3,4,2,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => [5] => [1,1,1,1,1] => 0
[4,1,2,3] => ([(0,3),(1,3),(2,3)],4) => [3] => [1,1,1] => 0
[4,1,3,2] => ([(0,3),(1,2),(1,3),(2,3)],4) => [4] => [1,1,1,1] => 0
[4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => [4] => [1,1,1,1] => 0
[4,2,3,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => [5] => [1,1,1,1,1] => 0
[4,3,1,2] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => [5] => [1,1,1,1,1] => 0
[4,3,2,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => [6] => [1,1,1,1,1,1] => 0
[1,2,3,5,4] => ([(3,4)],5) => [1] => [1] => 0
[1,2,4,3,5] => ([(3,4)],5) => [1] => [1] => 0
[1,2,4,5,3] => ([(2,4),(3,4)],5) => [2] => [1,1] => 0
[1,2,5,3,4] => ([(2,4),(3,4)],5) => [2] => [1,1] => 0
[1,2,5,4,3] => ([(2,3),(2,4),(3,4)],5) => [3] => [1,1,1] => 0
[1,3,2,4,5] => ([(3,4)],5) => [1] => [1] => 0
[1,3,2,5,4] => ([(1,4),(2,3)],5) => [1,1] => [2] => 1
[1,3,4,2,5] => ([(2,4),(3,4)],5) => [2] => [1,1] => 0
[1,3,4,5,2] => ([(1,4),(2,4),(3,4)],5) => [3] => [1,1,1] => 0
[1,3,5,2,4] => ([(1,4),(2,3),(3,4)],5) => [3] => [1,1,1] => 0
[1,3,5,4,2] => ([(1,4),(2,3),(2,4),(3,4)],5) => [4] => [1,1,1,1] => 0
[1,4,2,3,5] => ([(2,4),(3,4)],5) => [2] => [1,1] => 0
[1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => [3] => [1,1,1] => 0
[1,4,3,2,5] => ([(2,3),(2,4),(3,4)],5) => [3] => [1,1,1] => 0
[1,4,3,5,2] => ([(1,4),(2,3),(2,4),(3,4)],5) => [4] => [1,1,1,1] => 0
[1,4,5,2,3] => ([(1,3),(1,4),(2,3),(2,4)],5) => [4] => [1,1,1,1] => 0
[1,4,5,3,2] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1] => 0
[1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => [3] => [1,1,1] => 0
[1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => [4] => [1,1,1,1] => 0
[1,5,3,2,4] => ([(1,4),(2,3),(2,4),(3,4)],5) => [4] => [1,1,1,1] => 0
[1,5,3,4,2] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1] => 0
[1,5,4,2,3] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1] => 0
[1,5,4,3,2] => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [6] => [1,1,1,1,1,1] => 0
[2,1,3,4,5] => ([(3,4)],5) => [1] => [1] => 0
[2,1,3,5,4] => ([(1,4),(2,3)],5) => [1,1] => [2] => 1
[2,1,4,3,5] => ([(1,4),(2,3)],5) => [1,1] => [2] => 1
[2,1,4,5,3] => ([(0,1),(2,4),(3,4)],5) => [2,1] => [2,1] => 1
[2,1,5,3,4] => ([(0,1),(2,4),(3,4)],5) => [2,1] => [2,1] => 1
[2,1,5,4,3] => ([(0,1),(2,3),(2,4),(3,4)],5) => [3,1] => [2,1,1] => 1
[2,3,1,4,5] => ([(2,4),(3,4)],5) => [2] => [1,1] => 0
[2,3,1,5,4] => ([(0,1),(2,4),(3,4)],5) => [2,1] => [2,1] => 1
[2,3,4,1,5] => ([(1,4),(2,4),(3,4)],5) => [3] => [1,1,1] => 0
[2,3,4,5,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => [4] => [1,1,1,1] => 0
[2,3,5,1,4] => ([(0,4),(1,4),(2,3),(3,4)],5) => [4] => [1,1,1,1] => 0
[2,3,5,4,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1] => 0
[2,4,1,3,5] => ([(1,4),(2,3),(3,4)],5) => [3] => [1,1,1] => 0
[2,4,1,5,3] => ([(0,4),(1,3),(2,3),(2,4)],5) => [4] => [1,1,1,1] => 0
[2,4,3,1,5] => ([(1,4),(2,3),(2,4),(3,4)],5) => [4] => [1,1,1,1] => 0
[2,4,3,5,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1] => 0
[2,4,5,1,3] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1] => 0
[2,4,5,3,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [6] => [1,1,1,1,1,1] => 0
[2,5,1,3,4] => ([(0,4),(1,4),(2,3),(3,4)],5) => [4] => [1,1,1,1] => 0
[2,5,1,4,3] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => [5] => [1,1,1,1,1] => 0
[2,5,3,1,4] => ([(0,4),(1,3),(2,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1] => 0
[2,5,3,4,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [6] => [1,1,1,1,1,1] => 0
[2,5,4,1,3] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => [6] => [1,1,1,1,1,1] => 0
[2,5,4,3,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [7] => [1,1,1,1,1,1,1] => 0
[3,1,2,4,5] => ([(2,4),(3,4)],5) => [2] => [1,1] => 0
[3,1,2,5,4] => ([(0,1),(2,4),(3,4)],5) => [2,1] => [2,1] => 1
[3,1,4,2,5] => ([(1,4),(2,3),(3,4)],5) => [3] => [1,1,1] => 0
[3,1,4,5,2] => ([(0,4),(1,4),(2,3),(3,4)],5) => [4] => [1,1,1,1] => 0
[3,1,5,2,4] => ([(0,4),(1,3),(2,3),(2,4)],5) => [4] => [1,1,1,1] => 0
[3,1,5,4,2] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => [5] => [1,1,1,1,1] => 0
[3,2,1,4,5] => ([(2,3),(2,4),(3,4)],5) => [3] => [1,1,1] => 0
[3,2,1,5,4] => ([(0,1),(2,3),(2,4),(3,4)],5) => [3,1] => [2,1,1] => 1
[3,2,4,1,5] => ([(1,4),(2,3),(2,4),(3,4)],5) => [4] => [1,1,1,1] => 0
[3,2,4,5,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1] => 0
[3,2,5,1,4] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => [5] => [1,1,1,1,1] => 0
[3,2,5,4,1] => ([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5) => [6] => [1,1,1,1,1,1] => 0
[3,4,1,2,5] => ([(1,3),(1,4),(2,3),(2,4)],5) => [4] => [1,1,1,1] => 0
[3,4,1,5,2] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1] => 0
[3,4,2,1,5] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1] => 0
[3,4,2,5,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [6] => [1,1,1,1,1,1] => 0
[3,4,5,1,2] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => [6] => [1,1,1,1,1,1] => 0
[3,4,5,2,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [7] => [1,1,1,1,1,1,1] => 0
[3,5,1,2,4] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1] => 0
[3,5,1,4,2] => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => [6] => [1,1,1,1,1,1] => 0
[3,5,2,1,4] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => [6] => [1,1,1,1,1,1] => 0
[3,5,2,4,1] => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => [7] => [1,1,1,1,1,1,1] => 0
[3,5,4,1,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5) => [7] => [1,1,1,1,1,1,1] => 0
[3,5,4,2,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,1,2,3,5] => ([(1,4),(2,4),(3,4)],5) => [3] => [1,1,1] => 0
>>> Load all 3288 entries. <<<[4,1,2,5,3] => ([(0,4),(1,4),(2,3),(3,4)],5) => [4] => [1,1,1,1] => 0
[4,1,3,2,5] => ([(1,4),(2,3),(2,4),(3,4)],5) => [4] => [1,1,1,1] => 0
[4,1,3,5,2] => ([(0,4),(1,3),(2,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1] => 0
[4,1,5,2,3] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1] => 0
[4,1,5,3,2] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => [6] => [1,1,1,1,1,1] => 0
[4,2,1,3,5] => ([(1,4),(2,3),(2,4),(3,4)],5) => [4] => [1,1,1,1] => 0
[4,2,1,5,3] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => [5] => [1,1,1,1,1] => 0
[4,2,3,1,5] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1] => 0
[4,2,3,5,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [6] => [1,1,1,1,1,1] => 0
[4,2,5,1,3] => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => [6] => [1,1,1,1,1,1] => 0
[4,2,5,3,1] => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => [7] => [1,1,1,1,1,1,1] => 0
[4,3,1,2,5] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1] => 0
[4,3,1,5,2] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => [6] => [1,1,1,1,1,1] => 0
[4,3,2,1,5] => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [6] => [1,1,1,1,1,1] => 0
[4,3,2,5,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [7] => [1,1,1,1,1,1,1] => 0
[4,3,5,1,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5) => [7] => [1,1,1,1,1,1,1] => 0
[4,3,5,2,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => [6] => [1,1,1,1,1,1] => 0
[4,5,1,3,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5) => [7] => [1,1,1,1,1,1,1] => 0
[4,5,2,1,3] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5) => [7] => [1,1,1,1,1,1,1] => 0
[4,5,2,3,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,5,3,1,2] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,5,3,2,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => [4] => [1,1,1,1] => 0
[5,1,2,4,3] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1] => 0
[5,1,3,2,4] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1] => 0
[5,1,3,4,2] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [6] => [1,1,1,1,1,1] => 0
[5,1,4,2,3] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [6] => [1,1,1,1,1,1] => 0
[5,1,4,3,2] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [7] => [1,1,1,1,1,1,1] => 0
[5,2,1,3,4] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1] => 0
[5,2,1,4,3] => ([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5) => [6] => [1,1,1,1,1,1] => 0
[5,2,3,1,4] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [6] => [1,1,1,1,1,1] => 0
[5,2,3,4,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [7] => [1,1,1,1,1,1,1] => 0
[5,2,4,1,3] => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => [7] => [1,1,1,1,1,1,1] => 0
[5,2,4,3,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,3,1,2,4] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [6] => [1,1,1,1,1,1] => 0
[5,3,1,4,2] => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => [7] => [1,1,1,1,1,1,1] => 0
[5,3,2,1,4] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [7] => [1,1,1,1,1,1,1] => 0
[5,3,2,4,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,3,4,1,2] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,3,4,2,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,4,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [7] => [1,1,1,1,1,1,1] => 0
[5,4,1,3,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,4,2,1,3] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,4,2,3,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,4,3,1,2] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,2,3,4,6,5] => ([(4,5)],6) => [1] => [1] => 0
[1,2,3,5,4,6] => ([(4,5)],6) => [1] => [1] => 0
[1,2,3,5,6,4] => ([(3,5),(4,5)],6) => [2] => [1,1] => 0
[1,2,3,6,4,5] => ([(3,5),(4,5)],6) => [2] => [1,1] => 0
[1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => [3] => [1,1,1] => 0
[1,2,4,3,5,6] => ([(4,5)],6) => [1] => [1] => 0
[1,2,4,3,6,5] => ([(2,5),(3,4)],6) => [1,1] => [2] => 1
[1,2,4,5,3,6] => ([(3,5),(4,5)],6) => [2] => [1,1] => 0
[1,2,4,5,6,3] => ([(2,5),(3,5),(4,5)],6) => [3] => [1,1,1] => 0
[1,2,4,6,3,5] => ([(2,5),(3,4),(4,5)],6) => [3] => [1,1,1] => 0
[1,2,4,6,5,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => [4] => [1,1,1,1] => 0
[1,2,5,3,4,6] => ([(3,5),(4,5)],6) => [2] => [1,1] => 0
[1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => [3] => [1,1,1] => 0
[1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => [3] => [1,1,1] => 0
[1,2,5,4,6,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => [4] => [1,1,1,1] => 0
[1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => [4] => [1,1,1,1] => 0
[1,2,5,6,4,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => [3] => [1,1,1] => 0
[1,2,6,3,5,4] => ([(2,5),(3,4),(3,5),(4,5)],6) => [4] => [1,1,1,1] => 0
[1,2,6,4,3,5] => ([(2,5),(3,4),(3,5),(4,5)],6) => [4] => [1,1,1,1] => 0
[1,2,6,4,5,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[1,2,6,5,3,4] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[1,3,2,4,5,6] => ([(4,5)],6) => [1] => [1] => 0
[1,3,2,4,6,5] => ([(2,5),(3,4)],6) => [1,1] => [2] => 1
[1,3,2,5,4,6] => ([(2,5),(3,4)],6) => [1,1] => [2] => 1
[1,3,2,5,6,4] => ([(1,2),(3,5),(4,5)],6) => [2,1] => [2,1] => 1
[1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => [2,1] => [2,1] => 1
[1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => [3,1] => [2,1,1] => 1
[1,3,4,2,5,6] => ([(3,5),(4,5)],6) => [2] => [1,1] => 0
[1,3,4,2,6,5] => ([(1,2),(3,5),(4,5)],6) => [2,1] => [2,1] => 1
[1,3,4,5,2,6] => ([(2,5),(3,5),(4,5)],6) => [3] => [1,1,1] => 0
[1,3,4,5,6,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => [4] => [1,1,1,1] => 0
[1,3,4,6,2,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => [4] => [1,1,1,1] => 0
[1,3,4,6,5,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[1,3,5,2,4,6] => ([(2,5),(3,4),(4,5)],6) => [3] => [1,1,1] => 0
[1,3,5,2,6,4] => ([(1,5),(2,4),(3,4),(3,5)],6) => [4] => [1,1,1,1] => 0
[1,3,5,4,2,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => [4] => [1,1,1,1] => 0
[1,3,5,4,6,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[1,3,5,6,2,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[1,3,5,6,4,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[1,3,6,2,4,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => [4] => [1,1,1,1] => 0
[1,3,6,2,5,4] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[1,3,6,4,2,5] => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[1,3,6,4,5,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[1,3,6,5,2,4] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[1,3,6,5,4,2] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[1,4,2,3,5,6] => ([(3,5),(4,5)],6) => [2] => [1,1] => 0
[1,4,2,3,6,5] => ([(1,2),(3,5),(4,5)],6) => [2,1] => [2,1] => 1
[1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => [3] => [1,1,1] => 0
[1,4,2,5,6,3] => ([(1,5),(2,5),(3,4),(4,5)],6) => [4] => [1,1,1,1] => 0
[1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6) => [4] => [1,1,1,1] => 0
[1,4,2,6,5,3] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6) => [3] => [1,1,1] => 0
[1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => [3,1] => [2,1,1] => 1
[1,4,3,5,2,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => [4] => [1,1,1,1] => 0
[1,4,3,5,6,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[1,4,3,6,2,5] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[1,4,3,6,5,2] => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => [4] => [1,1,1,1] => 0
[1,4,5,2,6,3] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[1,4,5,3,2,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[1,4,5,3,6,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[1,4,5,6,2,3] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1] => 0
[1,4,5,6,3,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[1,4,6,2,5,3] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[1,4,6,3,2,5] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[1,4,6,3,5,2] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[1,4,6,5,2,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[1,4,6,5,3,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => [3] => [1,1,1] => 0
[1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6) => [4] => [1,1,1,1] => 0
[1,5,2,4,3,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => [4] => [1,1,1,1] => 0
[1,5,2,4,6,3] => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[1,5,2,6,4,3] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[1,5,3,2,4,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => [4] => [1,1,1,1] => 0
[1,5,3,2,6,4] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[1,5,3,4,2,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[1,5,3,4,6,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[1,5,3,6,2,4] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[1,5,3,6,4,2] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[1,5,4,2,3,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[1,5,4,2,6,3] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[1,5,4,3,2,6] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[1,5,4,3,6,2] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[1,5,4,6,2,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[1,5,4,6,3,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,5,6,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1] => 0
[1,5,6,2,4,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[1,5,6,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[1,5,6,3,4,2] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,5,6,4,2,3] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,5,6,4,3,2] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => [4] => [1,1,1,1] => 0
[1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[1,6,2,4,5,3] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[1,6,2,5,4,3] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[1,6,3,2,4,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[1,6,3,2,5,4] => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[1,6,3,4,2,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[1,6,3,4,5,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[1,6,3,5,2,4] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[1,6,3,5,4,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,6,4,2,3,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[1,6,4,2,5,3] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[1,6,4,3,2,5] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[1,6,4,3,5,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,6,4,5,2,3] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,6,4,5,3,2] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,6,5,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[1,6,5,2,4,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,6,5,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,6,5,3,4,2] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,6,5,4,2,3] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,1,3,4,5,6] => ([(4,5)],6) => [1] => [1] => 0
[2,1,3,4,6,5] => ([(2,5),(3,4)],6) => [1,1] => [2] => 1
[2,1,3,5,4,6] => ([(2,5),(3,4)],6) => [1,1] => [2] => 1
[2,1,3,5,6,4] => ([(1,2),(3,5),(4,5)],6) => [2,1] => [2,1] => 1
[2,1,3,6,4,5] => ([(1,2),(3,5),(4,5)],6) => [2,1] => [2,1] => 1
[2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => [3,1] => [2,1,1] => 1
[2,1,4,3,5,6] => ([(2,5),(3,4)],6) => [1,1] => [2] => 1
[2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => [1,1,1] => [3] => 2
[2,1,4,5,3,6] => ([(1,2),(3,5),(4,5)],6) => [2,1] => [2,1] => 1
[2,1,4,5,6,3] => ([(0,1),(2,5),(3,5),(4,5)],6) => [3,1] => [2,1,1] => 1
[2,1,4,6,3,5] => ([(0,1),(2,5),(3,4),(4,5)],6) => [3,1] => [2,1,1] => 1
[2,1,4,6,5,3] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [4,1] => [2,1,1,1] => 1
[2,1,5,3,4,6] => ([(1,2),(3,5),(4,5)],6) => [2,1] => [2,1] => 1
[2,1,5,3,6,4] => ([(0,1),(2,5),(3,4),(4,5)],6) => [3,1] => [2,1,1] => 1
[2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => [3,1] => [2,1,1] => 1
[2,1,5,4,6,3] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [4,1] => [2,1,1,1] => 1
[2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => [4,1] => [2,1,1,1] => 1
[2,1,5,6,4,3] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => [2,1,1,1,1] => 1
[2,1,6,3,4,5] => ([(0,1),(2,5),(3,5),(4,5)],6) => [3,1] => [2,1,1] => 1
[2,1,6,3,5,4] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [4,1] => [2,1,1,1] => 1
[2,1,6,4,3,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [4,1] => [2,1,1,1] => 1
[2,1,6,4,5,3] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => [2,1,1,1,1] => 1
[2,1,6,5,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => [2,1,1,1,1] => 1
[2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6,1] => [2,1,1,1,1,1] => 1
[2,3,1,4,5,6] => ([(3,5),(4,5)],6) => [2] => [1,1] => 0
[2,3,1,4,6,5] => ([(1,2),(3,5),(4,5)],6) => [2,1] => [2,1] => 1
[2,3,1,5,4,6] => ([(1,2),(3,5),(4,5)],6) => [2,1] => [2,1] => 1
[2,3,1,5,6,4] => ([(0,5),(1,5),(2,4),(3,4)],6) => [2,2] => [2,2] => 1
[2,3,1,6,4,5] => ([(0,5),(1,5),(2,4),(3,4)],6) => [2,2] => [2,2] => 1
[2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => [3,2] => [2,2,1] => 1
[2,3,4,1,5,6] => ([(2,5),(3,5),(4,5)],6) => [3] => [1,1,1] => 0
[2,3,4,1,6,5] => ([(0,1),(2,5),(3,5),(4,5)],6) => [3,1] => [2,1,1] => 1
[2,3,4,5,1,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => [4] => [1,1,1,1] => 0
[2,3,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[2,3,4,6,1,5] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[2,3,4,6,5,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[2,3,5,1,4,6] => ([(1,5),(2,5),(3,4),(4,5)],6) => [4] => [1,1,1,1] => 0
[2,3,5,1,6,4] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[2,3,5,4,1,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[2,3,5,4,6,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[2,3,5,6,1,4] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[2,3,5,6,4,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[2,3,6,1,4,5] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[2,3,6,1,5,4] => ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[2,3,6,4,1,5] => ([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[2,3,6,4,5,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[2,3,6,5,1,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[2,3,6,5,4,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,4,1,3,5,6] => ([(2,5),(3,4),(4,5)],6) => [3] => [1,1,1] => 0
[2,4,1,3,6,5] => ([(0,1),(2,5),(3,4),(4,5)],6) => [3,1] => [2,1,1] => 1
[2,4,1,5,3,6] => ([(1,5),(2,4),(3,4),(3,5)],6) => [4] => [1,1,1,1] => 0
[2,4,1,5,6,3] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[2,4,1,6,3,5] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5] => [1,1,1,1,1] => 0
[2,4,1,6,5,3] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1] => 0
[2,4,3,1,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => [4] => [1,1,1,1] => 0
[2,4,3,1,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [4,1] => [2,1,1,1] => 1
[2,4,3,5,1,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[2,4,3,5,6,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[2,4,3,6,1,5] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[2,4,3,6,5,1] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[2,4,5,1,3,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[2,4,5,1,6,3] => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1] => 0
[2,4,5,3,1,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[2,4,5,3,6,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[2,4,5,6,1,3] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[2,4,5,6,3,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,4,6,1,3,5] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[2,4,6,1,5,3] => ([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[2,4,6,3,1,5] => ([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[2,4,6,3,5,1] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,4,6,5,1,3] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,4,6,5,3,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,5,1,3,4,6] => ([(1,5),(2,5),(3,4),(4,5)],6) => [4] => [1,1,1,1] => 0
[2,5,1,3,6,4] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[2,5,1,4,3,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[2,5,1,4,6,3] => ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[2,5,1,6,3,4] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[2,5,1,6,4,3] => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[2,5,3,1,4,6] => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[2,5,3,1,6,4] => ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[2,5,3,4,1,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[2,5,3,4,6,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[2,5,3,6,1,4] => ([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[2,5,3,6,4,1] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,5,4,1,3,6] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[2,5,4,1,6,3] => ([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[2,5,4,3,1,6] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[2,5,4,3,6,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,5,4,6,1,3] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,5,4,6,3,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,5,6,1,3,4] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[2,5,6,1,4,3] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,5,6,3,1,4] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,5,6,3,4,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,5,6,4,1,3] => ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,5,6,4,3,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,6,1,3,4,5] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[2,6,1,3,5,4] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[2,6,1,4,3,5] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[2,6,1,4,5,3] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[2,6,1,5,3,4] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[2,6,1,5,4,3] => ([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,6,3,1,4,5] => ([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[2,6,3,1,5,4] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[2,6,3,4,1,5] => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[2,6,3,4,5,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,6,3,5,1,4] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,6,3,5,4,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,6,4,1,3,5] => ([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[2,6,4,1,5,3] => ([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,6,4,3,1,5] => ([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,6,4,3,5,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,6,4,5,1,3] => ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,6,4,5,3,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,6,5,1,3,4] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,6,5,1,4,3] => ([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,6,5,3,1,4] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,6,5,3,4,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,6,5,4,1,3] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,1,2,4,5,6] => ([(3,5),(4,5)],6) => [2] => [1,1] => 0
[3,1,2,4,6,5] => ([(1,2),(3,5),(4,5)],6) => [2,1] => [2,1] => 1
[3,1,2,5,4,6] => ([(1,2),(3,5),(4,5)],6) => [2,1] => [2,1] => 1
[3,1,2,5,6,4] => ([(0,5),(1,5),(2,4),(3,4)],6) => [2,2] => [2,2] => 1
[3,1,2,6,4,5] => ([(0,5),(1,5),(2,4),(3,4)],6) => [2,2] => [2,2] => 1
[3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => [3,2] => [2,2,1] => 1
[3,1,4,2,5,6] => ([(2,5),(3,4),(4,5)],6) => [3] => [1,1,1] => 0
[3,1,4,2,6,5] => ([(0,1),(2,5),(3,4),(4,5)],6) => [3,1] => [2,1,1] => 1
[3,1,4,5,2,6] => ([(1,5),(2,5),(3,4),(4,5)],6) => [4] => [1,1,1,1] => 0
[3,1,4,5,6,2] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[3,1,4,6,2,5] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[3,1,4,6,5,2] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[3,1,5,2,4,6] => ([(1,5),(2,4),(3,4),(3,5)],6) => [4] => [1,1,1,1] => 0
[3,1,5,2,6,4] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5] => [1,1,1,1,1] => 0
[3,1,5,4,2,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[3,1,5,4,6,2] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[3,1,5,6,2,4] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[3,1,5,6,4,2] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[3,1,6,2,4,5] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[3,1,6,2,5,4] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1] => 0
[3,1,6,4,2,5] => ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[3,1,6,4,5,2] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[3,1,6,5,2,4] => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[3,1,6,5,4,2] => ([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,2,1,4,5,6] => ([(3,4),(3,5),(4,5)],6) => [3] => [1,1,1] => 0
[3,2,1,4,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => [3,1] => [2,1,1] => 1
[3,2,1,5,4,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => [3,1] => [2,1,1] => 1
[3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => [3,2] => [2,2,1] => 1
[3,2,1,6,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => [3,2] => [2,2,1] => 1
[3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => [3,3] => [2,2,2] => 1
[3,2,4,1,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => [4] => [1,1,1,1] => 0
[3,2,4,1,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [4,1] => [2,1,1,1] => 1
[3,2,4,5,1,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[3,2,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[3,2,4,6,1,5] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[3,2,4,6,5,1] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[3,2,5,1,4,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[3,2,5,1,6,4] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1] => 0
[3,2,5,4,1,6] => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[3,2,5,4,6,1] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[3,2,5,6,1,4] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[3,2,5,6,4,1] => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,2,6,1,4,5] => ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[3,2,6,1,5,4] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[3,2,6,4,1,5] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[3,2,6,4,5,1] => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,2,6,5,1,4] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,2,6,5,4,1] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,4,1,2,5,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => [4] => [1,1,1,1] => 0
[3,4,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => [4,1] => [2,1,1,1] => 1
[3,4,1,5,2,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[3,4,1,5,6,2] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[3,4,1,6,2,5] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[3,4,1,6,5,2] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[3,4,2,1,5,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[3,4,2,1,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => [2,1,1,1,1] => 1
[3,4,2,5,1,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[3,4,2,5,6,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[3,4,2,6,1,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[3,4,2,6,5,1] => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,4,5,1,2,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1] => 0
[3,4,5,1,6,2] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[3,4,5,2,1,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[3,4,5,2,6,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,4,5,6,1,2] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,4,5,6,2,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,4,6,1,2,5] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[3,4,6,1,5,2] => ([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,4,6,2,1,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,4,6,2,5,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,4,6,5,1,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,4,6,5,2,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,5,1,2,4,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[3,5,1,2,6,4] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[3,5,1,4,2,6] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[3,5,1,4,6,2] => ([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[3,5,1,6,2,4] => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[3,5,1,6,4,2] => ([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,5,2,1,4,6] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[3,5,2,1,6,4] => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[3,5,2,4,1,6] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[3,5,2,4,6,1] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,5,2,6,1,4] => ([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,5,2,6,4,1] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,5,4,1,2,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[3,5,4,1,6,2] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,5,4,2,1,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,5,4,2,6,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,5,4,6,1,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,5,4,6,2,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,5,6,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,5,6,1,4,2] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,5,6,2,1,4] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,5,6,2,4,1] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,5,6,4,1,2] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,6,1,2,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[3,6,1,2,5,4] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[3,6,1,4,2,5] => ([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[3,6,1,4,5,2] => ([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,6,1,5,2,4] => ([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,6,1,5,4,2] => ([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,6,2,1,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[3,6,2,1,5,4] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,6,2,4,1,5] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,6,2,4,5,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,6,2,5,1,4] => ([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,6,2,5,4,1] => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,6,4,1,2,5] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,6,4,1,5,2] => ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,6,4,2,1,5] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,6,4,2,5,1] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,6,4,5,1,2] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,6,5,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,6,5,1,4,2] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,6,5,2,1,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,1,2,3,5,6] => ([(2,5),(3,5),(4,5)],6) => [3] => [1,1,1] => 0
[4,1,2,3,6,5] => ([(0,1),(2,5),(3,5),(4,5)],6) => [3,1] => [2,1,1] => 1
[4,1,2,5,3,6] => ([(1,5),(2,5),(3,4),(4,5)],6) => [4] => [1,1,1,1] => 0
[4,1,2,5,6,3] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[4,1,2,6,3,5] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[4,1,2,6,5,3] => ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[4,1,3,2,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => [4] => [1,1,1,1] => 0
[4,1,3,2,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [4,1] => [2,1,1,1] => 1
[4,1,3,5,2,6] => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[4,1,3,5,6,2] => ([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[4,1,3,6,2,5] => ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[4,1,3,6,5,2] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[4,1,5,2,3,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[4,1,5,2,6,3] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[4,1,5,3,2,6] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[4,1,5,3,6,2] => ([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[4,1,5,6,2,3] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[4,1,5,6,3,2] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,1,6,2,3,5] => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1] => 0
[4,1,6,2,5,3] => ([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[4,1,6,3,2,5] => ([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[4,1,6,3,5,2] => ([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,1,6,5,2,3] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,1,6,5,3,2] => ([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,2,1,3,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => [4] => [1,1,1,1] => 0
[4,2,1,3,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [4,1] => [2,1,1,1] => 1
[4,2,1,5,3,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[4,2,1,5,6,3] => ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[4,2,1,6,3,5] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1] => 0
[4,2,1,6,5,3] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[4,2,3,1,5,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[4,2,3,1,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => [2,1,1,1,1] => 1
[4,2,3,5,1,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[4,2,3,5,6,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[4,2,3,6,1,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[4,2,3,6,5,1] => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,2,5,1,3,6] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[4,2,5,1,6,3] => ([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[4,2,5,3,1,6] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[4,2,5,3,6,1] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,2,5,6,1,3] => ([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,2,5,6,3,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,2,6,1,3,5] => ([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[4,2,6,1,5,3] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,2,6,3,1,5] => ([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,2,6,3,5,1] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,2,6,5,1,3] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,2,6,5,3,1] => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,3,1,2,5,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[4,3,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => [2,1,1,1,1] => 1
[4,3,1,5,2,6] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[4,3,1,5,6,2] => ([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[4,3,1,6,2,5] => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[4,3,1,6,5,2] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,3,2,1,5,6] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[4,3,2,1,6,5] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6,1] => [2,1,1,1,1,1] => 1
[4,3,2,5,1,6] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[4,3,2,5,6,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,3,2,6,1,5] => ([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,3,2,6,5,1] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,3,5,1,2,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[4,3,5,1,6,2] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,3,5,2,1,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,3,5,2,6,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,3,5,6,1,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,3,5,6,2,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,3,6,1,2,5] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,3,6,1,5,2] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,3,6,2,1,5] => ([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,3,6,2,5,1] => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,3,6,5,1,2] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,5,1,2,3,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1] => 0
[4,5,1,2,6,3] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[4,5,1,3,2,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[4,5,1,3,6,2] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,5,1,6,2,3] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,5,1,6,3,2] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,5,2,1,3,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[4,5,2,1,6,3] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,5,2,3,1,6] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,5,2,3,6,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,5,2,6,1,3] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,5,2,6,3,1] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,5,3,1,2,6] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,5,3,1,6,2] => ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,5,3,2,1,6] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,5,3,2,6,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,5,3,6,1,2] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,5,6,1,3,2] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,5,6,2,1,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,6,1,2,3,5] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[4,6,1,2,5,3] => ([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,6,1,3,2,5] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,6,1,3,5,2] => ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,6,1,5,2,3] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,6,1,5,3,2] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,6,2,1,3,5] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,6,2,1,5,3] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,6,2,3,1,5] => ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,6,2,3,5,1] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,6,2,5,1,3] => ([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,6,3,1,2,5] => ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,6,3,1,5,2] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,6,3,2,1,5] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,6,5,1,2,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,1,2,3,4,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => [4] => [1,1,1,1] => 0
[5,1,2,3,6,4] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[5,1,2,4,3,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[5,1,2,4,6,3] => ([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[5,1,2,6,3,4] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[5,1,2,6,4,3] => ([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[5,1,3,2,4,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[5,1,3,2,6,4] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[5,1,3,4,2,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[5,1,3,4,6,2] => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[5,1,3,6,2,4] => ([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[5,1,3,6,4,2] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,1,4,2,3,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[5,1,4,2,6,3] => ([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[5,1,4,3,2,6] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[5,1,4,3,6,2] => ([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,1,4,6,2,3] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,1,4,6,3,2] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,1,6,2,3,4] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[5,1,6,2,4,3] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,1,6,3,2,4] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,1,6,3,4,2] => ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,1,6,4,2,3] => ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,1,6,4,3,2] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,2,1,3,4,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[5,2,1,3,6,4] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[5,2,1,4,3,6] => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[5,2,1,4,6,3] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[5,2,1,6,3,4] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[5,2,1,6,4,3] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,2,3,1,4,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[5,2,3,1,6,4] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[5,2,3,4,1,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[5,2,3,4,6,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,2,3,6,1,4] => ([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,2,3,6,4,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,2,4,1,3,6] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[5,2,4,1,6,3] => ([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,2,4,3,1,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,2,4,3,6,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,2,4,6,1,3] => ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,2,4,6,3,1] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,2,6,1,3,4] => ([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,2,6,1,4,3] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,2,6,3,1,4] => ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,2,6,3,4,1] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,2,6,4,1,3] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,3,1,2,4,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[5,3,1,2,6,4] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[5,3,1,4,2,6] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[5,3,1,4,6,2] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,3,1,6,2,4] => ([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,3,1,6,4,2] => ([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,3,2,1,4,6] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[5,3,2,1,6,4] => ([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,3,2,4,1,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,3,2,4,6,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,3,2,6,1,4] => ([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,3,2,6,4,1] => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,3,4,1,2,6] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,3,4,1,6,2] => ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,3,4,2,1,6] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,3,4,2,6,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,3,4,6,1,2] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,3,6,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,3,6,1,4,2] => ([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,3,6,2,1,4] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,4,1,2,3,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[5,4,1,2,6,3] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,4,1,3,2,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,4,1,3,6,2] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,4,1,6,2,3] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,4,1,6,3,2] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,4,2,1,3,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,4,2,1,6,3] => ([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,4,2,3,1,6] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,4,2,3,6,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,4,2,6,1,3] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,4,3,1,2,6] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,4,3,1,6,2] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,4,3,2,1,6] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,4,6,1,2,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,6,1,2,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,6,1,2,4,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,6,1,3,2,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,6,1,3,4,2] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,6,1,4,2,3] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,6,2,1,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,6,2,1,4,3] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,6,2,3,1,4] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,6,3,1,2,4] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => [5] => [1,1,1,1,1] => 0
[6,1,2,3,5,4] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[6,1,2,4,3,5] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[6,1,2,4,5,3] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[6,1,2,5,3,4] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[6,1,2,5,4,3] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,1,3,2,4,5] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[6,1,3,2,5,4] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[6,1,3,4,2,5] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[6,1,3,4,5,2] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,1,3,5,2,4] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,1,3,5,4,2] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,1,4,2,3,5] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[6,1,4,2,5,3] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,1,4,3,2,5] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,1,4,3,5,2] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,1,4,5,2,3] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,1,4,5,3,2] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,1,5,2,3,4] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,1,5,2,4,3] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,1,5,3,2,4] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,1,5,3,4,2] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,1,5,4,2,3] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,2,1,3,4,5] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => 0
[6,2,1,3,5,4] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[6,2,1,4,3,5] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[6,2,1,4,5,3] => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,2,1,5,3,4] => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,2,1,5,4,3] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,2,3,1,4,5] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[6,2,3,1,5,4] => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,2,3,4,1,5] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,2,3,4,5,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,2,3,5,1,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,2,3,5,4,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,2,4,1,3,5] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,2,4,1,5,3] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,2,4,3,1,5] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,2,4,3,5,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,2,4,5,1,3] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,2,5,1,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,2,5,1,4,3] => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,2,5,3,1,4] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,3,1,2,4,5] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [7] => [1,1,1,1,1,1,1] => 0
[6,3,1,2,5,4] => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,3,1,4,2,5] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,3,1,4,5,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,3,1,5,2,4] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,3,1,5,4,2] => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,3,2,1,4,5] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,3,2,1,5,4] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,3,2,4,1,5] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,3,2,4,5,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,3,2,5,1,4] => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,3,4,1,2,5] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,3,4,1,5,2] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,3,4,2,1,5] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,3,5,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,4,1,2,3,5] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,4,1,2,5,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,4,1,3,2,5] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,4,1,3,5,2] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,4,1,5,2,3] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,4,2,1,3,5] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,4,2,1,5,3] => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,4,2,3,1,5] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,4,3,1,2,5] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,5,1,2,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,5,1,2,4,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,5,1,3,2,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,5,2,1,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,2,3,4,5,7,6] => ([(5,6)],7) => [1] => [1] => 0
[1,2,3,4,6,5,7] => ([(5,6)],7) => [1] => [1] => 0
[1,2,3,4,6,7,5] => ([(4,6),(5,6)],7) => [2] => [1,1] => 0
[1,2,3,4,7,5,6] => ([(4,6),(5,6)],7) => [2] => [1,1] => 0
[1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => [3] => [1,1,1] => 0
[1,2,3,5,4,6,7] => ([(5,6)],7) => [1] => [1] => 0
[1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => [1,1] => [2] => 1
[1,2,3,5,6,4,7] => ([(4,6),(5,6)],7) => [2] => [1,1] => 0
[1,2,3,5,6,7,4] => ([(3,6),(4,6),(5,6)],7) => [3] => [1,1,1] => 0
[1,2,3,5,7,4,6] => ([(3,6),(4,5),(5,6)],7) => [3] => [1,1,1] => 0
[1,2,3,5,7,6,4] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4] => [1,1,1,1] => 0
[1,2,3,6,4,5,7] => ([(4,6),(5,6)],7) => [2] => [1,1] => 0
[1,2,3,6,4,7,5] => ([(3,6),(4,5),(5,6)],7) => [3] => [1,1,1] => 0
[1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7) => [3] => [1,1,1] => 0
[1,2,3,6,5,7,4] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4] => [1,1,1,1] => 0
[1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4] => [1,1,1,1] => 0
[1,2,3,6,7,5,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7) => [3] => [1,1,1] => 0
[1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4] => [1,1,1,1] => 0
[1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4] => [1,1,1,1] => 0
[1,2,3,7,5,6,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,2,4,3,5,6,7] => ([(5,6)],7) => [1] => [1] => 0
[1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => [1,1] => [2] => 1
[1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => [1,1] => [2] => 1
[1,2,4,3,6,7,5] => ([(2,3),(4,6),(5,6)],7) => [2,1] => [2,1] => 1
[1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [2,1] => [2,1] => 1
[1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,1] => [2,1,1] => 1
[1,2,4,5,3,6,7] => ([(4,6),(5,6)],7) => [2] => [1,1] => 0
[1,2,4,5,3,7,6] => ([(2,3),(4,6),(5,6)],7) => [2,1] => [2,1] => 1
[1,2,4,5,6,3,7] => ([(3,6),(4,6),(5,6)],7) => [3] => [1,1,1] => 0
[1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => [4] => [1,1,1,1] => 0
[1,2,4,5,7,3,6] => ([(2,6),(3,6),(4,5),(5,6)],7) => [4] => [1,1,1,1] => 0
[1,2,4,5,7,6,3] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,2,4,6,3,5,7] => ([(3,6),(4,5),(5,6)],7) => [3] => [1,1,1] => 0
[1,2,4,6,3,7,5] => ([(2,6),(3,5),(4,5),(4,6)],7) => [4] => [1,1,1,1] => 0
[1,2,4,6,5,3,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4] => [1,1,1,1] => 0
[1,2,4,6,5,7,3] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,2,4,6,7,3,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,2,4,6,7,5,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,2,4,7,3,5,6] => ([(2,6),(3,6),(4,5),(5,6)],7) => [4] => [1,1,1,1] => 0
[1,2,4,7,3,6,5] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,2,4,7,5,3,6] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,2,4,7,5,6,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,2,4,7,6,3,5] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,2,4,7,6,5,3] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,2,5,3,4,6,7] => ([(4,6),(5,6)],7) => [2] => [1,1] => 0
[1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7) => [2,1] => [2,1] => 1
[1,2,5,3,6,4,7] => ([(3,6),(4,5),(5,6)],7) => [3] => [1,1,1] => 0
[1,2,5,3,6,7,4] => ([(2,6),(3,6),(4,5),(5,6)],7) => [4] => [1,1,1,1] => 0
[1,2,5,3,7,4,6] => ([(2,6),(3,5),(4,5),(4,6)],7) => [4] => [1,1,1,1] => 0
[1,2,5,3,7,6,4] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7) => [3] => [1,1,1] => 0
[1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,1] => [2,1,1] => 1
[1,2,5,4,6,3,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4] => [1,1,1,1] => 0
[1,2,5,4,6,7,3] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,2,5,4,7,3,6] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,2,5,4,7,6,3] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4] => [1,1,1,1] => 0
[1,2,5,6,3,7,4] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,2,5,6,4,3,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,2,5,6,4,7,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,2,5,6,7,3,4] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,2,5,6,7,4,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,2,5,7,3,6,4] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,2,5,7,4,3,6] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,2,5,7,4,6,3] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,2,5,7,6,3,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,2,5,7,6,4,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7) => [3] => [1,1,1] => 0
[1,2,6,3,4,7,5] => ([(2,6),(3,6),(4,5),(5,6)],7) => [4] => [1,1,1,1] => 0
[1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4] => [1,1,1,1] => 0
[1,2,6,3,5,7,4] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,2,6,3,7,5,4] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4] => [1,1,1,1] => 0
[1,2,6,4,3,7,5] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,2,6,4,5,3,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,2,6,4,5,7,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,2,6,4,7,3,5] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,2,6,4,7,5,3] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,2,6,5,3,7,4] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,2,6,5,4,3,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,2,6,5,4,7,3] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,2,6,5,7,3,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,2,6,5,7,4,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,2,6,7,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,2,6,7,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,2,6,7,4,5,3] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,2,6,7,5,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[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) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => [4] => [1,1,1,1] => 0
[1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,2,7,3,5,6,4] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,2,7,3,6,5,4] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,2,7,4,3,6,5] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,2,7,4,5,3,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,2,7,4,5,6,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,2,7,4,6,3,5] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,2,7,4,6,5,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,2,7,5,3,6,4] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,2,7,5,4,3,6] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,2,7,5,4,6,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,2,7,5,6,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[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) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,2,7,6,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,2,7,6,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[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) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[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) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[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) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,3,2,4,5,6,7] => ([(5,6)],7) => [1] => [1] => 0
[1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => [1,1] => [2] => 1
[1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => [1,1] => [2] => 1
[1,3,2,4,6,7,5] => ([(2,3),(4,6),(5,6)],7) => [2,1] => [2,1] => 1
[1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [2,1] => [2,1] => 1
[1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,1] => [2,1,1] => 1
[1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => [1,1] => [2] => 1
[1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => [1,1,1] => [3] => 2
[1,3,2,5,6,4,7] => ([(2,3),(4,6),(5,6)],7) => [2,1] => [2,1] => 1
[1,3,2,5,6,7,4] => ([(1,2),(3,6),(4,6),(5,6)],7) => [3,1] => [2,1,1] => 1
[1,3,2,5,7,4,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [3,1] => [2,1,1] => 1
[1,3,2,5,7,6,4] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,1] => [2,1,1,1] => 1
[1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7) => [2,1] => [2,1] => 1
[1,3,2,6,4,7,5] => ([(1,2),(3,6),(4,5),(5,6)],7) => [3,1] => [2,1,1] => 1
[1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,1] => [2,1,1] => 1
[1,3,2,6,5,7,4] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,1] => [2,1,1,1] => 1
[1,3,2,6,7,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,1] => [2,1,1,1] => 1
[1,3,2,6,7,5,4] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [3,1] => [2,1,1] => 1
[1,3,2,7,4,6,5] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,1] => [2,1,1,1] => 1
[1,3,2,7,5,4,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,1] => [2,1,1,1] => 1
[1,3,2,7,5,6,4] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[1,3,2,7,6,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 1
[1,3,4,2,5,6,7] => ([(4,6),(5,6)],7) => [2] => [1,1] => 0
[1,3,4,2,5,7,6] => ([(2,3),(4,6),(5,6)],7) => [2,1] => [2,1] => 1
[1,3,4,2,6,5,7] => ([(2,3),(4,6),(5,6)],7) => [2,1] => [2,1] => 1
[1,3,4,2,6,7,5] => ([(1,6),(2,6),(3,5),(4,5)],7) => [2,2] => [2,2] => 1
[1,3,4,2,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7) => [2,2] => [2,2] => 1
[1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,2] => [2,2,1] => 1
[1,3,4,5,2,6,7] => ([(3,6),(4,6),(5,6)],7) => [3] => [1,1,1] => 0
[1,3,4,5,2,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [3,1] => [2,1,1] => 1
[1,3,4,5,6,2,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [4] => [1,1,1,1] => 0
[1,3,4,5,6,7,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,3,4,5,7,2,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,3,4,5,7,6,2] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,3,4,6,2,5,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [4] => [1,1,1,1] => 0
[1,3,4,6,2,7,5] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,3,4,6,5,2,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,3,4,6,5,7,2] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,3,4,6,7,2,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,3,4,6,7,5,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,3,4,7,2,5,6] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,3,4,7,2,6,5] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,3,4,7,5,2,6] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,3,4,7,5,6,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,3,4,7,6,2,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,3,4,7,6,5,2] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,3,5,2,4,6,7] => ([(3,6),(4,5),(5,6)],7) => [3] => [1,1,1] => 0
[1,3,5,2,4,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [3,1] => [2,1,1] => 1
[1,3,5,2,6,4,7] => ([(2,6),(3,5),(4,5),(4,6)],7) => [4] => [1,1,1,1] => 0
[1,3,5,2,6,7,4] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,3,5,2,7,4,6] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [5] => [1,1,1,1,1] => 0
[1,3,5,2,7,6,4] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,3,5,4,2,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4] => [1,1,1,1] => 0
[1,3,5,4,2,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,1] => [2,1,1,1] => 1
[1,3,5,4,6,2,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,3,5,4,6,7,2] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,3,5,4,7,2,6] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,3,5,4,7,6,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,3,5,6,2,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,3,5,6,2,7,4] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,3,5,6,4,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,3,5,6,4,7,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,3,5,6,7,2,4] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,3,5,6,7,4,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,3,5,7,2,4,6] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,3,5,7,2,6,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,3,5,7,4,2,6] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,3,5,7,4,6,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,3,5,7,6,2,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,3,5,7,6,4,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,3,6,2,4,5,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [4] => [1,1,1,1] => 0
[1,3,6,2,4,7,5] => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,3,6,2,5,4,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,3,6,2,5,7,4] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,3,6,2,7,4,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,3,6,2,7,5,4] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,3,6,4,2,5,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,3,6,4,2,7,5] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,3,6,4,5,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,3,6,4,5,7,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,3,6,4,7,2,5] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,3,6,4,7,5,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,3,6,5,2,4,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,3,6,5,2,7,4] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,3,6,5,4,2,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,3,6,5,4,7,2] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,3,6,5,7,2,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,3,6,5,7,4,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,3,6,7,2,4,5] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,3,6,7,2,5,4] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,3,6,7,4,2,5] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,3,6,7,4,5,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,3,6,7,5,2,4] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,3,6,7,5,4,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,3,7,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,3,7,2,4,6,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,3,7,2,5,4,6] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,3,7,2,5,6,4] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,3,7,2,6,4,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,3,7,2,6,5,4] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,3,7,4,2,5,6] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,3,7,4,2,6,5] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,3,7,4,5,2,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,3,7,4,5,6,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,3,7,4,6,2,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,3,7,4,6,5,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,3,7,5,2,4,6] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,3,7,5,2,6,4] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,3,7,5,4,2,6] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,3,7,5,4,6,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,3,7,5,6,2,4] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,3,7,5,6,4,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,3,7,6,2,4,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,3,7,6,2,5,4] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,3,7,6,4,2,5] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,3,7,6,4,5,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,3,7,6,5,2,4] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,4,2,3,5,6,7] => ([(4,6),(5,6)],7) => [2] => [1,1] => 0
[1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7) => [2,1] => [2,1] => 1
[1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7) => [2,1] => [2,1] => 1
[1,4,2,3,6,7,5] => ([(1,6),(2,6),(3,5),(4,5)],7) => [2,2] => [2,2] => 1
[1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7) => [2,2] => [2,2] => 1
[1,4,2,3,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,2] => [2,2,1] => 1
[1,4,2,5,3,6,7] => ([(3,6),(4,5),(5,6)],7) => [3] => [1,1,1] => 0
[1,4,2,5,3,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [3,1] => [2,1,1] => 1
[1,4,2,5,6,3,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [4] => [1,1,1,1] => 0
[1,4,2,5,6,7,3] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,4,2,5,7,3,6] => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,4,2,5,7,6,3] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,4,2,6,3,5,7] => ([(2,6),(3,5),(4,5),(4,6)],7) => [4] => [1,1,1,1] => 0
[1,4,2,6,3,7,5] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [5] => [1,1,1,1,1] => 0
[1,4,2,6,5,3,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,4,2,6,5,7,3] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,4,2,6,7,3,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,4,2,6,7,5,3] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,4,2,7,3,5,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,4,2,7,3,6,5] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,4,2,7,5,3,6] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,4,2,7,5,6,3] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,4,2,7,6,3,5] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,4,2,7,6,5,3] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7) => [3] => [1,1,1] => 0
[1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,1] => [2,1,1] => 1
[1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,1] => [2,1,1] => 1
[1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,2] => [2,2,1] => 1
[1,4,3,2,7,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,2] => [2,2,1] => 1
[1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => [3,3] => [2,2,2] => 1
[1,4,3,5,2,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4] => [1,1,1,1] => 0
[1,4,3,5,2,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,1] => [2,1,1,1] => 1
[1,4,3,5,6,2,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,4,3,5,6,7,2] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,4,3,5,7,2,6] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,4,3,5,7,6,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,4,3,6,2,5,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,4,3,6,2,7,5] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,4,3,6,5,2,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,4,3,6,5,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,4,3,6,7,2,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,4,3,6,7,5,2] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,4,3,7,2,5,6] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,4,3,7,2,6,5] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,4,3,7,5,2,6] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,4,3,7,5,6,2] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,4,3,7,6,2,5] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,4,3,7,6,5,2] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4] => [1,1,1,1] => 0
[1,4,5,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,1] => [2,1,1,1] => 1
[1,4,5,2,6,3,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,4,5,2,6,7,3] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,4,5,2,7,3,6] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,4,5,2,7,6,3] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,4,5,3,2,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,4,5,3,2,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[1,4,5,3,6,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,4,5,3,6,7,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,4,5,3,7,2,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,4,5,3,7,6,2] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,4,5,6,2,3,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,4,5,6,2,7,3] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,4,5,6,3,2,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,4,5,6,3,7,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,4,5,6,7,2,3] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,4,5,6,7,3,2] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,4,5,7,2,3,6] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,4,5,7,2,6,3] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,4,5,7,3,2,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,4,5,7,3,6,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,4,5,7,6,2,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,4,5,7,6,3,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,4,6,2,3,7,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,4,6,2,5,3,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,4,6,2,5,7,3] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,4,6,2,7,3,5] => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,4,6,2,7,5,3] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,4,6,3,2,5,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,4,6,3,2,7,5] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,4,6,3,5,2,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,4,6,3,5,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,4,6,3,7,2,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,4,6,3,7,5,2] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,4,6,5,2,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,4,6,5,2,7,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,4,6,5,3,2,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,4,6,5,3,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,4,6,5,7,2,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,4,6,5,7,3,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,4,6,7,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,4,6,7,2,5,3] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,4,6,7,3,2,5] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,4,6,7,3,5,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,4,6,7,5,2,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,4,7,2,3,6,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,4,7,2,5,3,6] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,4,7,2,5,6,3] => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,4,7,2,6,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,4,7,2,6,5,3] => ([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,4,7,3,2,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,4,7,3,2,6,5] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,4,7,3,5,2,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,4,7,3,5,6,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,4,7,3,6,2,5] => ([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,4,7,3,6,5,2] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,4,7,5,2,3,6] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,4,7,5,2,6,3] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,4,7,5,3,2,6] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,4,7,5,3,6,2] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,4,7,5,6,2,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,4,7,6,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,4,7,6,2,5,3] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,4,7,6,3,2,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7) => [3] => [1,1,1] => 0
[1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [3,1] => [2,1,1] => 1
[1,5,2,3,6,4,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [4] => [1,1,1,1] => 0
[1,5,2,3,6,7,4] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,5,2,3,7,4,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,5,2,3,7,6,4] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4] => [1,1,1,1] => 0
[1,5,2,4,3,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,1] => [2,1,1,1] => 1
[1,5,2,4,6,3,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,5,2,4,6,7,3] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,5,2,4,7,3,6] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,5,2,4,7,6,3] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,5,2,6,3,7,4] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,5,2,6,4,3,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,5,2,6,4,7,3] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,5,2,6,7,3,4] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,5,2,6,7,4,3] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,5,2,7,3,6,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,5,2,7,4,3,6] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,5,2,7,4,6,3] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,5,2,7,6,3,4] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,5,2,7,6,4,3] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4] => [1,1,1,1] => 0
[1,5,3,2,4,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,1] => [2,1,1,1] => 1
[1,5,3,2,6,4,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,5,3,2,6,7,4] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,5,3,2,7,4,6] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,5,3,2,7,6,4] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,5,3,4,2,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,5,3,4,2,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[1,5,3,4,6,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,5,3,4,6,7,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,5,3,4,7,2,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,5,3,4,7,6,2] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,5,3,6,2,4,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,5,3,6,2,7,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,5,3,6,4,2,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,5,3,6,4,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,5,3,6,7,2,4] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,5,3,6,7,4,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,5,3,7,2,4,6] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,5,3,7,2,6,4] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,5,3,7,4,2,6] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,5,3,7,4,6,2] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,5,3,7,6,2,4] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,5,3,7,6,4,2] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,5,4,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[1,5,4,2,6,3,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,5,4,2,6,7,3] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,5,4,2,7,3,6] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,5,4,2,7,6,3] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,5,4,3,2,6,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 1
[1,5,4,3,6,2,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,5,4,3,6,7,2] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,5,4,3,7,2,6] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,5,4,3,7,6,2] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,5,4,6,2,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,5,4,6,2,7,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,5,4,6,3,2,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,5,4,6,3,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,5,4,6,7,2,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,5,4,6,7,3,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,5,4,7,2,3,6] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,5,4,7,2,6,3] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,5,4,7,3,2,6] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,5,4,7,3,6,2] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,5,4,7,6,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,5,6,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,5,6,2,3,7,4] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,5,6,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,5,6,2,4,7,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,5,6,2,7,3,4] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,5,6,2,7,4,3] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,5,6,3,2,7,4] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,5,6,3,4,2,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,5,6,3,4,7,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,5,6,3,7,2,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,5,6,3,7,4,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,5,6,4,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,5,6,4,2,7,3] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[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) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,5,6,4,3,7,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,5,6,4,7,2,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,5,6,7,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,5,6,7,2,4,3] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,5,6,7,3,2,4] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,5,7,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,5,7,2,3,6,4] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,5,7,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,5,7,2,4,6,3] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,5,7,2,6,3,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,5,7,2,6,4,3] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,5,7,3,2,6,4] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,5,7,3,4,2,6] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,5,7,3,4,6,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,5,7,3,6,2,4] => ([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,5,7,4,2,3,6] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,5,7,4,2,6,3] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,5,7,4,3,2,6] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,5,7,6,2,3,4] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [4] => [1,1,1,1] => 0
[1,6,2,3,4,7,5] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,6,2,3,5,7,4] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,6,2,3,7,5,4] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,6,2,4,3,7,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,6,2,4,5,3,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,6,2,4,5,7,3] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,6,2,4,7,3,5] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,6,2,4,7,5,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,6,2,5,3,7,4] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,6,2,5,4,3,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,6,2,5,4,7,3] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,6,2,5,7,3,4] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,6,2,5,7,4,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,6,2,7,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,6,2,7,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,6,2,7,4,5,3] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,6,2,7,5,3,4] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,6,2,7,5,4,3] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,6,3,2,4,7,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,6,3,2,5,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,6,3,2,5,7,4] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,6,3,2,7,4,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,6,3,2,7,5,4] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,6,3,4,2,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,6,3,4,2,7,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,6,3,4,5,2,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,6,3,4,5,7,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,6,3,4,7,2,5] => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,6,3,4,7,5,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,6,3,5,2,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,6,3,5,2,7,4] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,6,3,5,4,2,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,6,3,5,4,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,6,3,5,7,2,4] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,6,3,5,7,4,2] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,6,3,7,2,4,5] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,6,3,7,2,5,4] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,6,3,7,4,2,5] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,6,3,7,4,5,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,6,3,7,5,2,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,6,4,2,3,7,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,6,4,2,5,3,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,6,4,2,5,7,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,6,4,2,7,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,6,4,2,7,5,3] => ([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,6,4,3,2,5,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,6,4,3,2,7,5] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,6,4,3,5,2,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,6,4,3,5,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,6,4,3,7,2,5] => ([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,6,4,3,7,5,2] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,6,4,5,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,6,4,5,2,7,3] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[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) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,6,4,5,3,7,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,6,4,5,7,2,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,6,4,7,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,6,4,7,2,5,3] => ([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,6,4,7,3,2,5] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,6,5,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,6,5,2,3,7,4] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,6,5,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,6,5,2,4,7,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,6,5,2,7,3,4] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,6,5,2,7,4,3] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,6,5,3,2,7,4] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[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) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,6,5,3,4,7,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,6,5,3,7,2,4] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[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) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,6,5,4,2,7,3] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[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) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,6,5,7,2,3,4] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,6,7,2,3,5,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,6,7,2,4,3,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,6,7,2,4,5,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,6,7,2,5,3,4] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,6,7,3,2,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,6,7,3,2,5,4] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,6,7,3,4,2,5] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,6,7,4,2,3,5] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,7,2,3,5,6,4] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,7,2,3,6,5,4] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,7,2,4,3,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,7,2,4,5,3,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,7,2,4,5,6,3] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,7,2,4,6,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,7,2,4,6,5,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,7,2,5,3,6,4] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,7,2,5,4,3,6] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,7,2,5,4,6,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,7,2,5,6,3,4] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,7,2,5,6,4,3] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,7,2,6,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,7,2,6,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,7,2,6,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,7,2,6,4,5,3] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,7,2,6,5,3,4] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[1,7,3,2,4,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,7,3,2,5,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,7,3,2,5,6,4] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,7,3,2,6,4,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,7,3,2,6,5,4] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,7,3,4,2,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,7,3,4,2,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,7,3,4,5,2,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,7,3,4,5,6,2] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,7,3,4,6,2,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,7,3,4,6,5,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,7,3,5,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,7,3,5,2,6,4] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,7,3,5,4,2,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,7,3,5,4,6,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,7,3,5,6,2,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,7,3,6,2,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,7,3,6,2,5,4] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,7,3,6,4,2,5] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[1,7,4,2,3,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,7,4,2,5,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,7,4,2,5,6,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,7,4,2,6,3,5] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,7,4,2,6,5,3] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,7,4,3,2,5,6] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,7,4,3,2,6,5] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,7,4,3,5,2,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,7,4,3,5,6,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,7,4,3,6,2,5] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,7,4,5,2,3,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,7,4,5,2,6,3] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,7,4,5,3,2,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,7,4,6,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,7,5,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[1,7,5,2,3,6,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,7,5,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,7,5,2,4,6,3] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,7,5,2,6,3,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,7,5,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,7,5,3,2,6,4] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,7,5,3,4,2,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,7,5,4,2,3,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,7,6,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[1,7,6,2,3,5,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,7,6,2,4,3,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[1,7,6,3,2,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,1,3,4,5,6,7] => ([(5,6)],7) => [1] => [1] => 0
[2,1,3,4,5,7,6] => ([(3,6),(4,5)],7) => [1,1] => [2] => 1
[2,1,3,4,6,5,7] => ([(3,6),(4,5)],7) => [1,1] => [2] => 1
[2,1,3,4,6,7,5] => ([(2,3),(4,6),(5,6)],7) => [2,1] => [2,1] => 1
[2,1,3,4,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [2,1] => [2,1] => 1
[2,1,3,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,1] => [2,1,1] => 1
[2,1,3,5,4,6,7] => ([(3,6),(4,5)],7) => [1,1] => [2] => 1
[2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => [1,1,1] => [3] => 2
[2,1,3,5,6,4,7] => ([(2,3),(4,6),(5,6)],7) => [2,1] => [2,1] => 1
[2,1,3,5,6,7,4] => ([(1,2),(3,6),(4,6),(5,6)],7) => [3,1] => [2,1,1] => 1
[2,1,3,5,7,4,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [3,1] => [2,1,1] => 1
[2,1,3,5,7,6,4] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,1] => [2,1,1,1] => 1
[2,1,3,6,4,5,7] => ([(2,3),(4,6),(5,6)],7) => [2,1] => [2,1] => 1
[2,1,3,6,4,7,5] => ([(1,2),(3,6),(4,5),(5,6)],7) => [3,1] => [2,1,1] => 1
[2,1,3,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,1] => [2,1,1] => 1
[2,1,3,6,5,7,4] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,1] => [2,1,1,1] => 1
[2,1,3,6,7,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,1] => [2,1,1,1] => 1
[2,1,3,6,7,5,4] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[2,1,3,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [3,1] => [2,1,1] => 1
[2,1,3,7,4,6,5] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,1] => [2,1,1,1] => 1
[2,1,3,7,5,4,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,1] => [2,1,1,1] => 1
[2,1,3,7,5,6,4] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[2,1,3,7,6,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[2,1,3,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 1
[2,1,4,3,5,6,7] => ([(3,6),(4,5)],7) => [1,1] => [2] => 1
[2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => [1,1,1] => [3] => 2
[2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => [1,1,1] => [3] => 2
[2,1,4,3,6,7,5] => ([(0,3),(1,2),(4,6),(5,6)],7) => [2,1,1] => [3,1] => 2
[2,1,4,3,7,5,6] => ([(0,3),(1,2),(4,6),(5,6)],7) => [2,1,1] => [3,1] => 2
[2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => [3,1,1] => [3,1,1] => 2
[2,1,4,5,3,6,7] => ([(2,3),(4,6),(5,6)],7) => [2,1] => [2,1] => 1
[2,1,4,5,3,7,6] => ([(0,3),(1,2),(4,6),(5,6)],7) => [2,1,1] => [3,1] => 2
[2,1,4,5,6,3,7] => ([(1,2),(3,6),(4,6),(5,6)],7) => [3,1] => [2,1,1] => 1
[2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => [4,1] => [2,1,1,1] => 1
[2,1,4,5,7,3,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [4,1] => [2,1,1,1] => 1
[2,1,4,5,7,6,3] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[2,1,4,6,3,5,7] => ([(1,2),(3,6),(4,5),(5,6)],7) => [3,1] => [2,1,1] => 1
[2,1,4,6,3,7,5] => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => [4,1] => [2,1,1,1] => 1
[2,1,4,6,5,3,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,1] => [2,1,1,1] => 1
[2,1,4,6,5,7,3] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[2,1,4,6,7,3,5] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1] => [2,1,1,1,1] => 1
[2,1,4,6,7,5,3] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 1
[2,1,4,7,3,5,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [4,1] => [2,1,1,1] => 1
[2,1,4,7,3,6,5] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[2,1,4,7,5,3,6] => ([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[2,1,4,7,5,6,3] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 1
[2,1,4,7,6,3,5] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 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) => [7,1] => [2,1,1,1,1,1,1] => 1
[2,1,5,3,4,6,7] => ([(2,3),(4,6),(5,6)],7) => [2,1] => [2,1] => 1
[2,1,5,3,4,7,6] => ([(0,3),(1,2),(4,6),(5,6)],7) => [2,1,1] => [3,1] => 2
[2,1,5,3,6,4,7] => ([(1,2),(3,6),(4,5),(5,6)],7) => [3,1] => [2,1,1] => 1
[2,1,5,3,6,7,4] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [4,1] => [2,1,1,1] => 1
[2,1,5,3,7,4,6] => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => [4,1] => [2,1,1,1] => 1
[2,1,5,3,7,6,4] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[2,1,5,4,3,6,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,1] => [2,1,1] => 1
[2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => [3,1,1] => [3,1,1] => 2
[2,1,5,4,6,3,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,1] => [2,1,1,1] => 1
[2,1,5,4,6,7,3] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[2,1,5,4,7,3,6] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[2,1,5,4,7,6,3] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 1
[2,1,5,6,3,4,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,1] => [2,1,1,1] => 1
[2,1,5,6,3,7,4] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1] => [2,1,1,1,1] => 1
[2,1,5,6,4,3,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[2,1,5,6,4,7,3] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 1
[2,1,5,6,7,3,4] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => [2,1,1,1,1,1] => 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) => [7,1] => [2,1,1,1,1,1,1] => 1
[2,1,5,7,3,4,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1] => [2,1,1,1,1] => 1
[2,1,5,7,3,6,4] => ([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 1
[2,1,5,7,4,3,6] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 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) => [7,1] => [2,1,1,1,1,1,1] => 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) => [7,1] => [2,1,1,1,1,1,1] => 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) => [8,1] => [2,1,1,1,1,1,1,1] => 1
[2,1,6,3,4,5,7] => ([(1,2),(3,6),(4,6),(5,6)],7) => [3,1] => [2,1,1] => 1
[2,1,6,3,4,7,5] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [4,1] => [2,1,1,1] => 1
[2,1,6,3,5,4,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,1] => [2,1,1,1] => 1
[2,1,6,3,5,7,4] => ([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[2,1,6,3,7,4,5] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1] => [2,1,1,1,1] => 1
[2,1,6,3,7,5,4] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 1
[2,1,6,4,3,5,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,1] => [2,1,1,1] => 1
[2,1,6,4,3,7,5] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[2,1,6,4,5,3,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[2,1,6,4,5,7,3] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 1
[2,1,6,4,7,3,5] => ([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 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) => [7,1] => [2,1,1,1,1,1,1] => 1
[2,1,6,5,3,4,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[2,1,6,5,3,7,4] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 1
[2,1,6,5,4,3,7] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 1
[2,1,6,5,4,7,3] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7,1] => [2,1,1,1,1,1,1] => 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) => [7,1] => [2,1,1,1,1,1,1] => 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) => [8,1] => [2,1,1,1,1,1,1,1] => 1
[2,1,6,7,3,4,5] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => [2,1,1,1,1,1] => 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) => [7,1] => [2,1,1,1,1,1,1] => 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) => [7,1] => [2,1,1,1,1,1,1] => 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) => [8,1] => [2,1,1,1,1,1,1,1] => 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) => [8,1] => [2,1,1,1,1,1,1,1] => 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) => [9,1] => [2,1,1,1,1,1,1,1,1] => 1
[2,1,7,3,4,5,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => [4,1] => [2,1,1,1] => 1
[2,1,7,3,4,6,5] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[2,1,7,3,5,4,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[2,1,7,3,5,6,4] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 1
[2,1,7,3,6,4,5] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 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) => [7,1] => [2,1,1,1,1,1,1] => 1
[2,1,7,4,3,5,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[2,1,7,4,3,6,5] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 1
[2,1,7,4,5,3,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 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) => [7,1] => [2,1,1,1,1,1,1] => 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) => [7,1] => [2,1,1,1,1,1,1] => 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) => [8,1] => [2,1,1,1,1,1,1,1] => 1
[2,1,7,5,3,4,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 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) => [7,1] => [2,1,1,1,1,1,1] => 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) => [7,1] => [2,1,1,1,1,1,1] => 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) => [8,1] => [2,1,1,1,1,1,1,1] => 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) => [8,1] => [2,1,1,1,1,1,1,1] => 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) => [9,1] => [2,1,1,1,1,1,1,1,1] => 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) => [7,1] => [2,1,1,1,1,1,1] => 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) => [8,1] => [2,1,1,1,1,1,1,1] => 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) => [8,1] => [2,1,1,1,1,1,1,1] => 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) => [9,1] => [2,1,1,1,1,1,1,1,1] => 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) => [9,1] => [2,1,1,1,1,1,1,1,1] => 1
[2,3,1,4,5,6,7] => ([(4,6),(5,6)],7) => [2] => [1,1] => 0
[2,3,1,4,5,7,6] => ([(2,3),(4,6),(5,6)],7) => [2,1] => [2,1] => 1
[2,3,1,4,6,5,7] => ([(2,3),(4,6),(5,6)],7) => [2,1] => [2,1] => 1
[2,3,1,4,6,7,5] => ([(1,6),(2,6),(3,5),(4,5)],7) => [2,2] => [2,2] => 1
[2,3,1,4,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7) => [2,2] => [2,2] => 1
[2,3,1,4,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,2] => [2,2,1] => 1
[2,3,1,5,4,6,7] => ([(2,3),(4,6),(5,6)],7) => [2,1] => [2,1] => 1
[2,3,1,5,4,7,6] => ([(0,3),(1,2),(4,6),(5,6)],7) => [2,1,1] => [3,1] => 2
[2,3,1,5,6,4,7] => ([(1,6),(2,6),(3,5),(4,5)],7) => [2,2] => [2,2] => 1
[2,3,1,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [3,2] => [2,2,1] => 1
[2,3,1,5,7,4,6] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [3,2] => [2,2,1] => 1
[2,3,1,5,7,6,4] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,2] => [2,2,1,1] => 1
[2,3,1,6,4,5,7] => ([(1,6),(2,6),(3,5),(4,5)],7) => [2,2] => [2,2] => 1
[2,3,1,6,4,7,5] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [3,2] => [2,2,1] => 1
[2,3,1,6,5,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,2] => [2,2,1] => 1
[2,3,1,6,5,7,4] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,2] => [2,2,1,1] => 1
[2,3,1,6,7,4,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => [4,2] => [2,2,1,1] => 1
[2,3,1,6,7,5,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [5,2] => [2,2,1,1,1] => 1
[2,3,1,7,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [3,2] => [2,2,1] => 1
[2,3,1,7,4,6,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,2] => [2,2,1,1] => 1
[2,3,1,7,5,4,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,2] => [2,2,1,1] => 1
[2,3,1,7,5,6,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [5,2] => [2,2,1,1,1] => 1
[2,3,1,7,6,4,5] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [5,2] => [2,2,1,1,1] => 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) => [6,2] => [2,2,1,1,1,1] => 1
[2,3,4,1,5,6,7] => ([(3,6),(4,6),(5,6)],7) => [3] => [1,1,1] => 0
[2,3,4,1,5,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [3,1] => [2,1,1] => 1
[2,3,4,1,6,5,7] => ([(1,2),(3,6),(4,6),(5,6)],7) => [3,1] => [2,1,1] => 1
[2,3,4,1,6,7,5] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [3,2] => [2,2,1] => 1
[2,3,4,1,7,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [3,2] => [2,2,1] => 1
[2,3,4,1,7,6,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3] => [2,2,2] => 1
[2,3,4,5,1,6,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [4] => [1,1,1,1] => 0
[2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => [4,1] => [2,1,1,1] => 1
[2,3,4,5,6,1,7] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[2,3,4,5,6,7,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[2,3,4,5,7,1,6] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[2,3,4,5,7,6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,3,4,6,1,5,7] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[2,3,4,6,1,7,5] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[2,3,4,6,5,1,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[2,3,4,6,5,7,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,3,4,6,7,1,5] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,3,4,6,7,5,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,3,4,7,1,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[2,3,4,7,1,6,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,3,4,7,5,1,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,3,4,7,5,6,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,3,4,7,6,1,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,3,4,7,6,5,1] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,3,5,1,4,6,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [4] => [1,1,1,1] => 0
[2,3,5,1,4,7,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [4,1] => [2,1,1,1] => 1
[2,3,5,1,6,4,7] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[2,3,5,1,6,7,4] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => [6] => [1,1,1,1,1,1] => 0
[2,3,5,1,7,4,6] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [6] => [1,1,1,1,1,1] => 0
[2,3,5,1,7,6,4] => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,3,5,4,1,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[2,3,5,4,1,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[2,3,5,4,6,1,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[2,3,5,4,6,7,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,3,5,4,7,1,6] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,3,5,4,7,6,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,3,5,6,1,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[2,3,5,6,1,7,4] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,3,5,6,4,1,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,3,5,6,4,7,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,3,5,6,7,1,4] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,3,5,6,7,4,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,3,5,7,1,4,6] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,3,5,7,1,6,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,3,5,7,4,1,6] => ([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,3,5,7,4,6,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,3,5,7,6,1,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,3,5,7,6,4,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,3,6,1,4,5,7] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[2,3,6,1,4,7,5] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[2,3,6,1,5,4,7] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[2,3,6,1,5,7,4] => ([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,3,6,1,7,4,5] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,3,6,1,7,5,4] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,3,6,4,1,5,7] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[2,3,6,4,1,7,5] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,3,6,4,5,1,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,3,6,4,5,7,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,3,6,4,7,1,5] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,3,6,4,7,5,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,3,6,5,1,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,3,6,5,1,7,4] => ([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,3,6,5,4,1,7] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,3,6,5,4,7,1] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,3,6,5,7,1,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,3,6,5,7,4,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,3,6,7,1,4,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,3,6,7,1,5,4] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,3,6,7,4,1,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,3,6,7,4,5,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,3,6,7,5,1,4] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,3,7,1,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[2,3,7,1,4,6,5] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,3,7,1,5,4,6] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,3,7,1,5,6,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,3,7,1,6,4,5] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,3,7,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,3,7,4,1,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,3,7,4,1,6,5] => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,3,7,4,5,1,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,3,7,4,5,6,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,3,7,4,6,1,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,3,7,4,6,5,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,3,7,5,1,4,6] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,3,7,5,1,6,4] => ([(0,5),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,3,7,5,4,1,6] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,3,7,5,4,6,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,3,7,5,6,1,4] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,3,7,6,1,4,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,3,7,6,1,5,4] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,3,7,6,4,1,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,4,1,3,5,6,7] => ([(3,6),(4,5),(5,6)],7) => [3] => [1,1,1] => 0
[2,4,1,3,5,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [3,1] => [2,1,1] => 1
[2,4,1,3,6,5,7] => ([(1,2),(3,6),(4,5),(5,6)],7) => [3,1] => [2,1,1] => 1
[2,4,1,3,6,7,5] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [3,2] => [2,2,1] => 1
[2,4,1,3,7,5,6] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [3,2] => [2,2,1] => 1
[2,4,1,3,7,6,5] => ([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7) => [3,3] => [2,2,2] => 1
[2,4,1,5,3,6,7] => ([(2,6),(3,5),(4,5),(4,6)],7) => [4] => [1,1,1,1] => 0
[2,4,1,5,3,7,6] => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => [4,1] => [2,1,1,1] => 1
[2,4,1,5,6,3,7] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[2,4,1,5,6,7,3] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[2,4,1,5,7,3,6] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[2,4,1,5,7,6,3] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,4,1,6,3,5,7] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [5] => [1,1,1,1,1] => 0
[2,4,1,6,3,7,5] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [6] => [1,1,1,1,1,1] => 0
[2,4,1,6,5,3,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [6] => [1,1,1,1,1,1] => 0
[2,4,1,6,5,7,3] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,4,1,6,7,3,5] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,4,1,6,7,5,3] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,4,1,7,3,5,6] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [6] => [1,1,1,1,1,1] => 0
[2,4,1,7,3,6,5] => ([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,4,1,7,5,3,6] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,4,1,7,5,6,3] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,4,1,7,6,3,5] => ([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,4,1,7,6,5,3] => ([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,4,3,1,5,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4] => [1,1,1,1] => 0
[2,4,3,1,5,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,1] => [2,1,1,1] => 1
[2,4,3,1,6,5,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,1] => [2,1,1,1] => 1
[2,4,3,1,6,7,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,2] => [2,2,1,1] => 1
[2,4,3,1,7,5,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,2] => [2,2,1,1] => 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] => [2,2,2,1] => 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] => 0
[2,4,3,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[2,4,3,5,6,1,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[2,4,3,5,6,7,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,4,3,5,7,1,6] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,4,3,5,7,6,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,4,3,6,1,5,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[2,4,3,6,1,7,5] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,4,3,6,5,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,4,3,6,5,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,4,3,6,7,1,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,4,3,6,7,5,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,4,3,7,1,5,6] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,4,3,7,1,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,4,3,7,5,1,6] => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,4,3,7,5,6,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,4,3,7,6,1,5] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,4,3,7,6,5,1] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,4,5,1,3,6,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[2,4,5,1,3,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1] => [2,1,1,1,1] => 1
[2,4,5,1,6,3,7] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6] => [1,1,1,1,1,1] => 0
[2,4,5,1,6,7,3] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,4,5,1,7,3,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,4,5,1,7,6,3] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,4,5,3,1,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[2,4,5,3,1,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 1
[2,4,5,3,6,1,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,4,5,3,6,7,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,4,5,3,7,1,6] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,4,5,3,7,6,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,4,5,6,1,3,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,4,5,6,1,7,3] => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,4,5,6,3,1,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,4,5,6,3,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,4,5,6,7,1,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,4,5,6,7,3,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,4,5,7,1,3,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,4,5,7,1,6,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,4,5,7,3,1,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,4,5,7,3,6,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,4,5,7,6,1,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,4,6,1,3,5,7] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[2,4,6,1,3,7,5] => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,4,6,1,5,3,7] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,4,6,1,5,7,3] => ([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,4,6,1,7,3,5] => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,4,6,1,7,5,3] => ([(0,5),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,4,6,3,1,5,7] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,4,6,3,1,7,5] => ([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,4,6,3,5,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,4,6,3,5,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,4,6,3,7,1,5] => ([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,4,6,3,7,5,1] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,4,6,5,1,3,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,4,6,5,1,7,3] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,4,6,5,3,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,4,6,5,3,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,4,6,5,7,1,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,4,6,7,1,3,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,4,6,7,1,5,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,4,6,7,3,1,5] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,4,7,1,3,5,6] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,4,7,1,3,6,5] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,4,7,1,5,3,6] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,4,7,1,5,6,3] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,4,7,1,6,3,5] => ([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,4,7,1,6,5,3] => ([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,4,7,3,1,5,6] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,4,7,3,1,6,5] => ([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,4,7,3,5,1,6] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,4,7,3,5,6,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,4,7,3,6,1,5] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,4,7,5,1,3,6] => ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,4,7,5,1,6,3] => ([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,4,7,5,3,1,6] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,4,7,6,1,3,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,5,1,3,4,6,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [4] => [1,1,1,1] => 0
[2,5,1,3,4,7,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [4,1] => [2,1,1,1] => 1
[2,5,1,3,6,4,7] => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[2,5,1,3,6,7,4] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[2,5,1,3,7,4,6] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[2,5,1,3,7,6,4] => ([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,5,1,4,3,6,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[2,5,1,4,3,7,6] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[2,5,1,4,6,3,7] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[2,5,1,4,6,7,3] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,5,1,4,7,3,6] => ([(0,4),(1,3),(2,5),(2,6),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,5,1,4,7,6,3] => ([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,5,1,6,3,4,7] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[2,5,1,6,3,7,4] => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,5,1,6,4,3,7] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,5,1,6,4,7,3] => ([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,5,1,6,7,3,4] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,5,1,6,7,4,3] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,5,1,7,3,4,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,5,1,7,3,6,4] => ([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,5,1,7,4,3,6] => ([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,5,1,7,4,6,3] => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,5,1,7,6,3,4] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,5,1,7,6,4,3] => ([(0,1),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,5,3,1,4,6,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[2,5,3,1,4,7,6] => ([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[2,5,3,1,6,4,7] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[2,5,3,1,6,7,4] => ([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,5,3,1,7,4,6] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,5,3,1,7,6,4] => ([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,5,3,4,1,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[2,5,3,4,1,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 1
[2,5,3,4,6,1,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,5,3,4,6,7,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,5,3,4,7,1,6] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,5,3,4,7,6,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,5,3,6,1,4,7] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,5,3,6,1,7,4] => ([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,5,3,6,4,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,5,3,6,4,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,5,3,6,7,1,4] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,5,3,6,7,4,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,5,3,7,1,4,6] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,5,3,7,1,6,4] => ([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,5,3,7,4,1,6] => ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,5,3,7,4,6,1] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,5,3,7,6,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,5,4,1,3,6,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[2,5,4,1,3,7,6] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 1
[2,5,4,1,6,3,7] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,5,4,1,6,7,3] => ([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,5,4,1,7,3,6] => ([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,5,4,1,7,6,3] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,5,4,3,1,6,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,5,4,3,1,7,6] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7,1] => [2,1,1,1,1,1,1] => 1
[2,5,4,3,6,1,7] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,5,4,3,6,7,1] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,5,4,3,7,1,6] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,5,4,3,7,6,1] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,5,4,6,1,3,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,5,4,6,1,7,3] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,5,4,6,3,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,5,4,6,3,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,5,4,6,7,1,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,5,4,7,1,3,6] => ([(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,5,4,7,1,6,3] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,5,4,7,3,1,6] => ([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,5,6,1,3,4,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,5,6,1,3,7,4] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,5,6,1,4,3,7] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,5,6,1,4,7,3] => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,5,6,1,7,3,4] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,5,6,1,7,4,3] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,5,6,3,1,4,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,5,6,3,1,7,4] => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,5,6,3,4,1,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,5,6,3,4,7,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,5,6,3,7,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,5,6,4,1,3,7] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,5,6,4,1,7,3] => ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,5,6,4,3,1,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,5,6,7,1,3,4] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,5,7,1,3,4,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,5,7,1,3,6,4] => ([(0,5),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,5,7,1,4,3,6] => ([(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,5,7,1,4,6,3] => ([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,5,7,1,6,3,4] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,5,7,3,1,4,6] => ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,5,7,3,1,6,4] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,5,7,3,4,1,6] => ([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,5,7,4,1,3,6] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,6,1,3,4,5,7] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[2,6,1,3,4,7,5] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[2,6,1,3,5,4,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[2,6,1,3,5,7,4] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,6,1,3,7,4,5] => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,6,1,3,7,5,4] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,6,1,4,3,5,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[2,6,1,4,3,7,5] => ([(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,6,1,4,5,3,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,6,1,4,5,7,3] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,6,1,4,7,3,5] => ([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,6,1,4,7,5,3] => ([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,6,1,5,3,4,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,6,1,5,3,7,4] => ([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,6,1,5,4,3,7] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,6,1,5,4,7,3] => ([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,6,1,5,7,3,4] => ([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,6,1,5,7,4,3] => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,6,1,7,3,4,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,6,1,7,3,5,4] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,6,1,7,4,3,5] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,6,1,7,4,5,3] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,6,1,7,5,3,4] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,6,3,1,4,5,7] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[2,6,3,1,4,7,5] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,6,3,1,5,4,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,6,3,1,5,7,4] => ([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,6,3,1,7,4,5] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,6,3,1,7,5,4] => ([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,6,3,4,1,5,7] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,6,3,4,1,7,5] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,6,3,4,5,1,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,6,3,4,5,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,6,3,4,7,1,5] => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,6,3,4,7,5,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,6,3,5,1,4,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,6,3,5,1,7,4] => ([(0,5),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,6,3,5,4,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,6,3,5,4,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,6,3,5,7,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,6,3,7,1,4,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,6,3,7,1,5,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,6,3,7,4,1,5] => ([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,6,4,1,3,5,7] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,6,4,1,3,7,5] => ([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,6,4,1,5,3,7] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,6,4,1,5,7,3] => ([(0,5),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,6,4,1,7,3,5] => ([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,6,4,1,7,5,3] => ([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,6,4,3,1,5,7] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,6,4,3,1,7,5] => ([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,6,4,3,5,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,6,4,3,5,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,6,4,3,7,1,5] => ([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,6,4,5,1,3,7] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,6,4,5,1,7,3] => ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,6,4,5,3,1,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,6,4,7,1,3,5] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,6,5,1,3,4,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,6,5,1,3,7,4] => ([(0,4),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,6,5,1,4,3,7] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,6,5,1,4,7,3] => ([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,6,5,1,7,3,4] => ([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,6,5,3,1,4,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,6,5,3,1,7,4] => ([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,6,5,3,4,1,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,6,5,4,1,3,7] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,6,7,1,3,4,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,6,7,1,3,5,4] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,6,7,1,4,3,5] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,6,7,3,1,4,5] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,7,1,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[2,7,1,3,4,6,5] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,7,1,3,5,4,6] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,7,1,3,5,6,4] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,7,1,3,6,4,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,7,1,3,6,5,4] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,7,1,4,3,5,6] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,7,1,4,3,6,5] => ([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,7,1,4,5,3,6] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,7,1,4,5,6,3] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,7,1,4,6,3,5] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,7,1,4,6,5,3] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,7,1,5,3,4,6] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,7,1,5,3,6,4] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,7,1,5,4,3,6] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,7,1,5,4,6,3] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,7,1,5,6,3,4] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,7,1,6,3,4,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,7,1,6,3,5,4] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,7,1,6,4,3,5] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,7,3,1,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[2,7,3,1,4,6,5] => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,7,3,1,5,4,6] => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,7,3,1,5,6,4] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,7,3,1,6,4,5] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,7,3,1,6,5,4] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,7,3,4,1,5,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,7,3,4,1,6,5] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,7,3,4,5,1,6] => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,7,3,4,5,6,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,7,3,4,6,1,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,7,3,5,1,4,6] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,7,3,5,1,6,4] => ([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,7,3,5,4,1,6] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,7,3,6,1,4,5] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,7,4,1,3,5,6] => ([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[2,7,4,1,3,6,5] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,7,4,1,5,3,6] => ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,7,4,1,5,6,3] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,7,4,1,6,3,5] => ([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,7,4,3,1,5,6] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,7,4,3,1,6,5] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,7,4,3,5,1,6] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,7,4,5,1,3,6] => ([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,7,5,1,3,4,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[2,7,5,1,3,6,4] => ([(0,4),(1,5),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,7,5,1,4,3,6] => ([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,7,5,3,1,4,6] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[2,7,6,1,3,4,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,1,2,4,5,6,7] => ([(4,6),(5,6)],7) => [2] => [1,1] => 0
[3,1,2,4,5,7,6] => ([(2,3),(4,6),(5,6)],7) => [2,1] => [2,1] => 1
[3,1,2,4,6,5,7] => ([(2,3),(4,6),(5,6)],7) => [2,1] => [2,1] => 1
[3,1,2,4,6,7,5] => ([(1,6),(2,6),(3,5),(4,5)],7) => [2,2] => [2,2] => 1
[3,1,2,4,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7) => [2,2] => [2,2] => 1
[3,1,2,4,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,2] => [2,2,1] => 1
[3,1,2,5,4,6,7] => ([(2,3),(4,6),(5,6)],7) => [2,1] => [2,1] => 1
[3,1,2,5,4,7,6] => ([(0,3),(1,2),(4,6),(5,6)],7) => [2,1,1] => [3,1] => 2
[3,1,2,5,6,4,7] => ([(1,6),(2,6),(3,5),(4,5)],7) => [2,2] => [2,2] => 1
[3,1,2,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [3,2] => [2,2,1] => 1
[3,1,2,5,7,4,6] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [3,2] => [2,2,1] => 1
[3,1,2,5,7,6,4] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,2] => [2,2,1,1] => 1
[3,1,2,6,4,5,7] => ([(1,6),(2,6),(3,5),(4,5)],7) => [2,2] => [2,2] => 1
[3,1,2,6,4,7,5] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [3,2] => [2,2,1] => 1
[3,1,2,6,5,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,2] => [2,2,1] => 1
[3,1,2,6,5,7,4] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,2] => [2,2,1,1] => 1
[3,1,2,6,7,4,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => [4,2] => [2,2,1,1] => 1
[3,1,2,6,7,5,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [5,2] => [2,2,1,1,1] => 1
[3,1,2,7,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [3,2] => [2,2,1] => 1
[3,1,2,7,4,6,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,2] => [2,2,1,1] => 1
[3,1,2,7,5,4,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,2] => [2,2,1,1] => 1
[3,1,2,7,5,6,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [5,2] => [2,2,1,1,1] => 1
[3,1,2,7,6,4,5] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [5,2] => [2,2,1,1,1] => 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) => [6,2] => [2,2,1,1,1,1] => 1
[3,1,4,2,5,6,7] => ([(3,6),(4,5),(5,6)],7) => [3] => [1,1,1] => 0
[3,1,4,2,5,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [3,1] => [2,1,1] => 1
[3,1,4,2,6,5,7] => ([(1,2),(3,6),(4,5),(5,6)],7) => [3,1] => [2,1,1] => 1
[3,1,4,2,6,7,5] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [3,2] => [2,2,1] => 1
[3,1,4,2,7,5,6] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [3,2] => [2,2,1] => 1
[3,1,4,2,7,6,5] => ([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7) => [3,3] => [2,2,2] => 1
[3,1,4,5,2,6,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [4] => [1,1,1,1] => 0
[3,1,4,5,2,7,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [4,1] => [2,1,1,1] => 1
[3,1,4,5,6,2,7] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[3,1,4,5,6,7,2] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[3,1,4,5,7,2,6] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[3,1,4,5,7,6,2] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,1,4,6,2,5,7] => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[3,1,4,6,2,7,5] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[3,1,4,6,5,2,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[3,1,4,6,5,7,2] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,1,4,6,7,2,5] => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,1,4,6,7,5,2] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,1,4,7,2,5,6] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[3,1,4,7,2,6,5] => ([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,1,4,7,5,2,6] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,1,4,7,5,6,2] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,1,4,7,6,2,5] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,1,4,7,6,5,2] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,1,5,2,4,6,7] => ([(2,6),(3,5),(4,5),(4,6)],7) => [4] => [1,1,1,1] => 0
[3,1,5,2,4,7,6] => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => [4,1] => [2,1,1,1] => 1
[3,1,5,2,6,4,7] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [5] => [1,1,1,1,1] => 0
[3,1,5,2,6,7,4] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [6] => [1,1,1,1,1,1] => 0
[3,1,5,2,7,4,6] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [6] => [1,1,1,1,1,1] => 0
[3,1,5,2,7,6,4] => ([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,1,5,4,2,6,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[3,1,5,4,2,7,6] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[3,1,5,4,6,2,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[3,1,5,4,6,7,2] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,1,5,4,7,2,6] => ([(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,1,5,4,7,6,2] => ([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,1,5,6,2,4,7] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[3,1,5,6,2,7,4] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,1,5,6,4,2,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,1,5,6,4,7,2] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,1,5,6,7,2,4] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,1,5,6,7,4,2] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,1,5,7,2,4,6] => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,1,5,7,2,6,4] => ([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,1,5,7,4,2,6] => ([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,1,5,7,4,6,2] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,1,5,7,6,2,4] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,1,5,7,6,4,2] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,1,6,2,4,5,7] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[3,1,6,2,4,7,5] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[3,1,6,2,5,4,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [6] => [1,1,1,1,1,1] => 0
[3,1,6,2,5,7,4] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,1,6,2,7,4,5] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,1,6,2,7,5,4] => ([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,1,6,4,2,5,7] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[3,1,6,4,2,7,5] => ([(0,4),(1,3),(2,5),(2,6),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,1,6,4,5,2,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,1,6,4,5,7,2] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,1,6,4,7,2,5] => ([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,1,6,4,7,5,2] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,1,6,5,2,4,7] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,1,6,5,2,7,4] => ([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,1,6,5,4,2,7] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,1,6,5,4,7,2] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,1,6,5,7,2,4] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,1,6,5,7,4,2] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,1,6,7,2,4,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,1,6,7,2,5,4] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,1,6,7,4,2,5] => ([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,1,6,7,4,5,2] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,1,6,7,5,2,4] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,1,7,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[3,1,7,2,4,6,5] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,1,7,2,5,4,6] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,1,7,2,5,6,4] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,1,7,2,6,4,5] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,1,7,2,6,5,4] => ([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,1,7,4,2,5,6] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,1,7,4,2,6,5] => ([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,1,7,4,5,2,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,1,7,4,5,6,2] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,1,7,4,6,2,5] => ([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,1,7,4,6,5,2] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,1,7,5,2,4,6] => ([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,1,7,5,2,6,4] => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,1,7,5,4,2,6] => ([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,1,7,5,4,6,2] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,1,7,5,6,2,4] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,1,7,6,2,4,5] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,1,7,6,2,5,4] => ([(0,1),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,1,7,6,4,2,5] => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,2,1,4,5,6,7] => ([(4,5),(4,6),(5,6)],7) => [3] => [1,1,1] => 0
[3,2,1,4,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,1] => [2,1,1] => 1
[3,2,1,4,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,1] => [2,1,1] => 1
[3,2,1,4,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,2] => [2,2,1] => 1
[3,2,1,4,7,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,2] => [2,2,1] => 1
[3,2,1,4,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => [3,3] => [2,2,2] => 1
[3,2,1,5,4,6,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,1] => [2,1,1] => 1
[3,2,1,5,4,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => [3,1,1] => [3,1,1] => 2
[3,2,1,5,6,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,2] => [2,2,1] => 1
[3,2,1,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3] => [2,2,2] => 1
[3,2,1,5,7,4,6] => ([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7) => [3,3] => [2,2,2] => 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] => [2,2,2,1] => 1
[3,2,1,6,4,5,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,2] => [2,2,1] => 1
[3,2,1,6,4,7,5] => ([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7) => [3,3] => [2,2,2] => 1
[3,2,1,6,5,4,7] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => [3,3] => [2,2,2] => 1
[3,2,1,6,5,7,4] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,3] => [2,2,2,1] => 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] => [2,2,2,1] => 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) => [5,3] => [2,2,2,1,1] => 1
[3,2,1,7,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3] => [2,2,2] => 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] => [2,2,2,1] => 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] => [2,2,2,1] => 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) => [5,3] => [2,2,2,1,1] => 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) => [5,3] => [2,2,2,1,1] => 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) => [6,3] => [2,2,2,1,1,1] => 1
[3,2,4,1,5,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4] => [1,1,1,1] => 0
[3,2,4,1,5,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,1] => [2,1,1,1] => 1
[3,2,4,1,6,5,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,1] => [2,1,1,1] => 1
[3,2,4,1,6,7,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,2] => [2,2,1,1] => 1
[3,2,4,1,7,5,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,2] => [2,2,1,1] => 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] => [2,2,2,1] => 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] => 0
[3,2,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[3,2,4,5,6,1,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[3,2,4,5,6,7,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,2,4,5,7,1,6] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,2,4,5,7,6,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,2,4,6,1,5,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[3,2,4,6,1,7,5] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,2,4,6,5,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,2,4,6,5,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,2,4,6,7,1,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,2,4,6,7,5,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,2,4,7,1,5,6] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,2,4,7,1,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,2,4,7,5,1,6] => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,2,4,7,5,6,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,2,4,7,6,1,5] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,2,4,7,6,5,1] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,2,5,1,4,6,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[3,2,5,1,4,7,6] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[3,2,5,1,6,4,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [6] => [1,1,1,1,1,1] => 0
[3,2,5,1,6,7,4] => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,2,5,1,7,4,6] => ([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,2,5,1,7,6,4] => ([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,2,5,4,1,6,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[3,2,5,4,1,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 1
[3,2,5,4,6,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,2,5,4,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,2,5,4,7,1,6] => ([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,2,5,4,7,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,2,5,6,1,4,7] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,2,5,6,1,7,4] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,2,5,6,4,1,7] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,2,5,6,4,7,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,2,5,6,7,1,4] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,2,5,6,7,4,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,2,5,7,1,4,6] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,2,5,7,1,6,4] => ([(0,1),(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,2,5,7,4,1,6] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,2,5,7,4,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,2,5,7,6,1,4] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,2,6,1,4,5,7] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[3,2,6,1,4,7,5] => ([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,2,6,1,5,4,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,2,6,1,5,7,4] => ([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,2,6,1,7,4,5] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,2,6,1,7,5,4] => ([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,2,6,4,1,5,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,2,6,4,1,7,5] => ([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,2,6,4,5,1,7] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,2,6,4,5,7,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,2,6,4,7,1,5] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,2,6,4,7,5,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,2,6,5,1,4,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,2,6,5,1,7,4] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,2,6,5,4,1,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,2,6,5,4,7,1] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,2,6,5,7,1,4] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,2,6,7,1,4,5] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,2,6,7,1,5,4] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,2,6,7,4,1,5] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,2,7,1,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,2,7,1,4,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,2,7,1,5,4,6] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,2,7,1,5,6,4] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,2,7,1,6,4,5] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,2,7,1,6,5,4] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,2,7,4,1,5,6] => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,2,7,4,1,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,2,7,4,5,1,6] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,2,7,4,5,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,2,7,4,6,1,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,2,7,5,1,4,6] => ([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,2,7,5,1,6,4] => ([(0,1),(0,5),(1,5),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,2,7,5,4,1,6] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,2,7,6,1,4,5] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,4,1,2,5,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4] => [1,1,1,1] => 0
[3,4,1,2,5,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,1] => [2,1,1,1] => 1
[3,4,1,2,6,5,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,1] => [2,1,1,1] => 1
[3,4,1,2,6,7,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => [4,2] => [2,2,1,1] => 1
[3,4,1,2,7,5,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => [4,2] => [2,2,1,1] => 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] => [2,2,2,1] => 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] => 0
[3,4,1,5,2,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1] => [2,1,1,1,1] => 1
[3,4,1,5,6,2,7] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[3,4,1,5,6,7,2] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,4,1,5,7,2,6] => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,4,1,5,7,6,2] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,4,1,6,2,5,7] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[3,4,1,6,2,7,5] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,4,1,6,5,2,7] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,4,1,6,5,7,2] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,4,1,6,7,2,5] => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,4,1,6,7,5,2] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,4,1,7,2,5,6] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,4,1,7,2,6,5] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,4,1,7,5,2,6] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,4,1,7,5,6,2] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,4,1,7,6,2,5] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,4,1,7,6,5,2] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,4,2,1,5,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[3,4,2,1,5,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[3,4,2,1,6,5,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[3,4,2,1,6,7,5] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [5,2] => [2,2,1,1,1] => 1
[3,4,2,1,7,5,6] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [5,2] => [2,2,1,1,1] => 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) => [5,3] => [2,2,2,1,1] => 1
[3,4,2,5,1,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[3,4,2,5,1,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 1
[3,4,2,5,6,1,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,4,2,5,6,7,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,4,2,5,7,1,6] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,4,2,5,7,6,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,4,2,6,1,5,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,4,2,6,1,7,5] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,4,2,6,5,1,7] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,4,2,6,5,7,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,4,2,6,7,1,5] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,4,2,6,7,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,4,2,7,1,5,6] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,4,2,7,1,6,5] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,4,2,7,5,1,6] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,4,2,7,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,4,2,7,6,1,5] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,4,5,1,2,6,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6] => [1,1,1,1,1,1] => 0
[3,4,5,1,2,7,6] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => [2,1,1,1,1,1] => 1
[3,4,5,1,6,2,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,4,5,1,6,7,2] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,4,5,1,7,2,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,4,5,1,7,6,2] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,4,5,2,1,6,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,4,5,2,1,7,6] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7,1] => [2,1,1,1,1,1,1] => 1
[3,4,5,2,6,1,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,4,5,2,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,4,5,2,7,1,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,4,5,2,7,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,4,5,6,1,2,7] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,4,5,6,1,7,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,4,5,6,2,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,4,5,6,2,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,4,5,6,7,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,4,5,7,1,2,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,4,5,7,1,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,4,5,7,2,1,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,4,6,1,2,5,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,4,6,1,2,7,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,4,6,1,5,2,7] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,4,6,1,5,7,2] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,4,6,1,7,2,5] => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,4,6,1,7,5,2] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,4,6,2,1,5,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,4,6,2,1,7,5] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,4,6,2,5,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,4,6,2,5,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,4,6,2,7,1,5] => ([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,4,6,5,1,2,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,4,6,5,1,7,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,4,6,5,2,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,4,6,7,1,2,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,4,7,1,2,5,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,4,7,1,2,6,5] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,4,7,1,5,2,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,4,7,1,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,4,7,1,6,2,5] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,4,7,2,1,5,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,4,7,2,1,6,5] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,4,7,2,5,1,6] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,4,7,5,1,2,6] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,5,1,2,4,6,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[3,5,1,2,4,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1] => [2,1,1,1,1] => 1
[3,5,1,2,6,4,7] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[3,5,1,2,6,7,4] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,5,1,2,7,4,6] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,5,1,2,7,6,4] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,5,1,4,2,6,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[3,5,1,4,2,7,6] => ([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 1
[3,5,1,4,6,2,7] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,5,1,4,6,7,2] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,5,1,4,7,2,6] => ([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,5,1,4,7,6,2] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,5,1,6,2,4,7] => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,5,1,6,2,7,4] => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,5,1,6,4,2,7] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,5,1,6,4,7,2] => ([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,5,1,6,7,2,4] => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,5,1,6,7,4,2] => ([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,5,1,7,2,4,6] => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,5,1,7,2,6,4] => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,5,1,7,4,2,6] => ([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,5,1,7,4,6,2] => ([(0,1),(0,6),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,5,1,7,6,2,4] => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,5,2,1,4,6,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[3,5,2,1,4,7,6] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 1
[3,5,2,1,6,4,7] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,5,2,1,6,7,4] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,5,2,1,7,4,6] => ([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,5,2,1,7,6,4] => ([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,5,2,4,1,6,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,5,2,4,1,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7,1] => [2,1,1,1,1,1,1] => 1
[3,5,2,4,6,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,5,2,4,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,5,2,4,7,1,6] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,5,2,4,7,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,5,2,6,1,4,7] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,5,2,6,1,7,4] => ([(0,5),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,5,2,6,4,1,7] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,5,2,6,4,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,5,2,6,7,1,4] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,5,2,7,1,4,6] => ([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,5,2,7,1,6,4] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,5,2,7,4,1,6] => ([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,5,4,1,2,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,5,4,1,2,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7,1] => [2,1,1,1,1,1,1] => 1
[3,5,4,1,6,2,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,5,4,1,6,7,2] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,5,4,1,7,2,6] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,5,4,1,7,6,2] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,5,4,2,1,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[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) => [8,1] => [2,1,1,1,1,1,1,1] => 1
[3,5,4,2,6,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,5,4,2,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,5,4,2,7,1,6] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,5,4,6,1,2,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,5,4,6,1,7,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,5,4,6,2,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,5,4,7,1,2,6] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,5,6,1,2,4,7] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,5,6,1,2,7,4] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,5,6,1,4,2,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,5,6,1,4,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,5,6,1,7,2,4] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,5,6,2,1,4,7] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,5,6,2,1,7,4] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,5,6,2,4,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,5,6,4,1,2,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,5,7,1,2,4,6] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,5,7,1,2,6,4] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,5,7,1,4,2,6] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,5,7,2,1,4,6] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,6,1,2,4,5,7] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[3,6,1,2,4,7,5] => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,6,1,2,5,4,7] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,6,1,2,5,7,4] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,6,1,2,7,4,5] => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,6,1,2,7,5,4] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,6,1,4,2,5,7] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,6,1,4,2,7,5] => ([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,6,1,4,5,2,7] => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,6,1,4,5,7,2] => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,6,1,4,7,2,5] => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,6,1,4,7,5,2] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,6,1,5,2,4,7] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,6,1,5,2,7,4] => ([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,6,1,5,4,2,7] => ([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,6,1,5,4,7,2] => ([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,6,1,5,7,2,4] => ([(0,1),(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,6,1,7,2,4,5] => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,6,1,7,2,5,4] => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,6,1,7,4,2,5] => ([(0,1),(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,6,2,1,4,5,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,6,2,1,4,7,5] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,6,2,1,5,4,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,6,2,1,5,7,4] => ([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,6,2,1,7,4,5] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,6,2,1,7,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,6,2,4,1,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,6,2,4,1,7,5] => ([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,6,2,4,5,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,6,2,4,5,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,6,2,4,7,1,5] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,6,2,5,1,4,7] => ([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,6,2,5,1,7,4] => ([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,6,2,5,4,1,7] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,6,2,7,1,4,5] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,6,4,1,2,5,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,6,4,1,2,7,5] => ([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,6,4,1,5,2,7] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,6,4,1,5,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,6,4,1,7,2,5] => ([(0,1),(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,6,4,2,1,5,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,6,4,2,1,7,5] => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,6,4,2,5,1,7] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,6,4,5,1,2,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,6,5,1,2,4,7] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,6,5,1,2,7,4] => ([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,6,5,1,4,2,7] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,6,5,2,1,4,7] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,6,7,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,7,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[3,7,1,2,4,6,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,7,1,2,5,4,6] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,7,1,2,5,6,4] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,7,1,2,6,4,5] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,7,1,2,6,5,4] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,7,1,4,2,5,6] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,7,1,4,2,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,7,1,4,5,2,6] => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,7,1,4,5,6,2] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,7,1,4,6,2,5] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,7,1,5,2,4,6] => ([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,7,1,5,2,6,4] => ([(0,1),(0,6),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,7,1,5,4,2,6] => ([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,7,1,6,2,4,5] => ([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,7,2,1,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[3,7,2,1,4,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,7,2,1,5,4,6] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,7,2,1,5,6,4] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,7,2,1,6,4,5] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,7,2,4,1,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,7,2,4,1,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,7,2,4,5,1,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,7,2,5,1,4,6] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,7,4,1,2,5,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[3,7,4,1,2,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,7,4,1,5,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,7,4,2,1,5,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[3,7,5,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,1,2,3,5,6,7] => ([(3,6),(4,6),(5,6)],7) => [3] => [1,1,1] => 0
[4,1,2,3,5,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [3,1] => [2,1,1] => 1
[4,1,2,3,6,5,7] => ([(1,2),(3,6),(4,6),(5,6)],7) => [3,1] => [2,1,1] => 1
[4,1,2,3,6,7,5] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [3,2] => [2,2,1] => 1
[4,1,2,3,7,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [3,2] => [2,2,1] => 1
[4,1,2,3,7,6,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3] => [2,2,2] => 1
[4,1,2,5,3,6,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [4] => [1,1,1,1] => 0
[4,1,2,5,3,7,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [4,1] => [2,1,1,1] => 1
[4,1,2,5,6,3,7] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[4,1,2,5,6,7,3] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[4,1,2,5,7,3,6] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[4,1,2,5,7,6,3] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[4,1,2,6,3,5,7] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[4,1,2,6,3,7,5] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [6] => [1,1,1,1,1,1] => 0
[4,1,2,6,5,3,7] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[4,1,2,6,5,7,3] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[4,1,2,6,7,3,5] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[4,1,2,6,7,5,3] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,1,2,7,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => [6] => [1,1,1,1,1,1] => 0
[4,1,2,7,3,6,5] => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[4,1,2,7,5,3,6] => ([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[4,1,2,7,5,6,3] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,1,2,7,6,3,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,1,2,7,6,5,3] => ([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,1,3,2,5,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4] => [1,1,1,1] => 0
[4,1,3,2,5,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,1] => [2,1,1,1] => 1
[4,1,3,2,6,5,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,1] => [2,1,1,1] => 1
[4,1,3,2,6,7,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,2] => [2,2,1,1] => 1
[4,1,3,2,7,5,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,2] => [2,2,1,1] => 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] => [2,2,2,1] => 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] => 0
[4,1,3,5,2,7,6] => ([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[4,1,3,5,6,2,7] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[4,1,3,5,6,7,2] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[4,1,3,5,7,2,6] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[4,1,3,5,7,6,2] => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,1,3,6,2,5,7] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[4,1,3,6,2,7,5] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[4,1,3,6,5,2,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[4,1,3,6,5,7,2] => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,1,3,6,7,2,5] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,1,3,6,7,5,2] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,1,3,7,2,5,6] => ([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[4,1,3,7,2,6,5] => ([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,1,3,7,5,2,6] => ([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,1,3,7,5,6,2] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,1,3,7,6,2,5] => ([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,1,3,7,6,5,2] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,1,5,2,3,6,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[4,1,5,2,3,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1] => [2,1,1,1,1] => 1
[4,1,5,2,6,3,7] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[4,1,5,2,6,7,3] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[4,1,5,2,7,3,6] => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[4,1,5,2,7,6,3] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,1,5,3,2,6,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[4,1,5,3,2,7,6] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 1
[4,1,5,3,6,2,7] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[4,1,5,3,6,7,2] => ([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,1,5,3,7,2,6] => ([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,1,5,3,7,6,2] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,1,5,6,2,3,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[4,1,5,6,2,7,3] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,1,5,6,3,2,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,1,5,6,3,7,2] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,1,5,6,7,2,3] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,1,5,6,7,3,2] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,1,5,7,2,3,6] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,1,5,7,2,6,3] => ([(0,5),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,1,5,7,3,2,6] => ([(0,4),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,1,5,7,3,6,2] => ([(0,4),(1,5),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,1,5,7,6,2,3] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,1,6,2,3,5,7] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6] => [1,1,1,1,1,1] => 0
[4,1,6,2,3,7,5] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => [7] => [1,1,1,1,1,1,1] => 0
[4,1,6,2,5,3,7] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[4,1,6,2,5,7,3] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,1,6,2,7,3,5] => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,1,6,2,7,5,3] => ([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,1,6,3,2,5,7] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[4,1,6,3,2,7,5] => ([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,1,6,3,5,2,7] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,1,6,3,5,7,2] => ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,1,6,3,7,2,5] => ([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,1,6,3,7,5,2] => ([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,1,6,5,2,3,7] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,1,6,5,2,7,3] => ([(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,1,6,5,3,2,7] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,1,6,5,3,7,2] => ([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,1,6,5,7,2,3] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,1,6,7,2,3,5] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,1,6,7,2,5,3] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,1,6,7,3,2,5] => ([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,1,7,2,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[4,1,7,2,3,6,5] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,1,7,2,5,3,6] => ([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,1,7,2,5,6,3] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,1,7,2,6,3,5] => ([(0,5),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,1,7,2,6,5,3] => ([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,1,7,3,2,5,6] => ([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,1,7,3,2,6,5] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,1,7,3,5,2,6] => ([(0,5),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,1,7,3,5,6,2] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,1,7,3,6,2,5] => ([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,1,7,5,2,3,6] => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,1,7,5,2,6,3] => ([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,1,7,5,3,2,6] => ([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,1,7,6,2,3,5] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,2,1,3,5,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4] => [1,1,1,1] => 0
[4,2,1,3,5,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,1] => [2,1,1,1] => 1
[4,2,1,3,6,5,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,1] => [2,1,1,1] => 1
[4,2,1,3,6,7,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,2] => [2,2,1,1] => 1
[4,2,1,3,7,5,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,2] => [2,2,1,1] => 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] => [2,2,2,1] => 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] => 0
[4,2,1,5,3,7,6] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[4,2,1,5,6,3,7] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[4,2,1,5,6,7,3] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[4,2,1,5,7,3,6] => ([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[4,2,1,5,7,6,3] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,2,1,6,3,5,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [6] => [1,1,1,1,1,1] => 0
[4,2,1,6,3,7,5] => ([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[4,2,1,6,5,3,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[4,2,1,6,5,7,3] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,2,1,6,7,3,5] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,2,1,6,7,5,3] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,2,1,7,3,5,6] => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[4,2,1,7,3,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,2,1,7,5,3,6] => ([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,2,1,7,5,6,3] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,2,1,7,6,3,5] => ([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,2,1,7,6,5,3] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,2,3,1,5,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[4,2,3,1,5,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[4,2,3,1,6,5,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[4,2,3,1,6,7,5] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [5,2] => [2,2,1,1,1] => 1
[4,2,3,1,7,5,6] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [5,2] => [2,2,1,1,1] => 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) => [5,3] => [2,2,2,1,1] => 1
[4,2,3,5,1,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[4,2,3,5,1,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 1
[4,2,3,5,6,1,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[4,2,3,5,6,7,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,2,3,5,7,1,6] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,2,3,5,7,6,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,2,3,6,1,5,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[4,2,3,6,1,7,5] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,2,3,6,5,1,7] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,2,3,6,5,7,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,2,3,6,7,1,5] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,2,3,6,7,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,2,3,7,1,5,6] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,2,3,7,1,6,5] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,2,3,7,5,1,6] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,2,3,7,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,2,3,7,6,1,5] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,2,5,1,3,6,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[4,2,5,1,3,7,6] => ([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 1
[4,2,5,1,6,3,7] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[4,2,5,1,6,7,3] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,2,5,1,7,3,6] => ([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,2,5,1,7,6,3] => ([(0,1),(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,2,5,3,1,6,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[4,2,5,3,1,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7,1] => [2,1,1,1,1,1,1] => 1
[4,2,5,3,6,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,2,5,3,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,2,5,3,7,1,6] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,2,5,3,7,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,2,5,6,1,3,7] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,2,5,6,1,7,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,2,5,6,3,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,2,5,6,3,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,2,5,6,7,1,3] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,2,5,7,1,3,6] => ([(0,5),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,2,5,7,1,6,3] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,2,5,7,3,1,6] => ([(0,4),(1,5),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,2,6,1,3,5,7] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[4,2,6,1,3,7,5] => ([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,2,6,1,5,3,7] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,2,6,1,5,7,3] => ([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,2,6,1,7,3,5] => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,2,6,1,7,5,3] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,2,6,3,1,5,7] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,2,6,3,1,7,5] => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,2,6,3,5,1,7] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,2,6,3,5,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,2,6,3,7,1,5] => ([(0,1),(0,6),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,2,6,5,1,3,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,2,6,5,1,7,3] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,2,6,5,3,1,7] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,2,6,7,1,3,5] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,2,7,1,3,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,2,7,1,3,6,5] => ([(0,1),(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,2,7,1,5,3,6] => ([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,2,7,1,5,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,2,7,1,6,3,5] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,2,7,3,1,5,6] => ([(0,5),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,2,7,3,1,6,5] => ([(0,1),(0,5),(1,5),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,2,7,3,5,1,6] => ([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,2,7,5,1,3,6] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,3,1,2,5,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[4,3,1,2,5,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[4,3,1,2,6,5,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[4,3,1,2,6,7,5] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [5,2] => [2,2,1,1,1] => 1
[4,3,1,2,7,5,6] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [5,2] => [2,2,1,1,1] => 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) => [5,3] => [2,2,2,1,1] => 1
[4,3,1,5,2,6,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[4,3,1,5,2,7,6] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 1
[4,3,1,5,6,2,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[4,3,1,5,6,7,2] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,3,1,5,7,2,6] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,3,1,5,7,6,2] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,3,1,6,2,5,7] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[4,3,1,6,2,7,5] => ([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,3,1,6,5,2,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,3,1,6,5,7,2] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,3,1,6,7,2,5] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,3,1,6,7,5,2] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,3,1,7,2,5,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,3,1,7,2,6,5] => ([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,3,1,7,5,2,6] => ([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,3,1,7,5,6,2] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,3,1,7,6,2,5] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,3,2,1,5,6,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[4,3,2,1,5,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 1
[4,3,2,1,6,5,7] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 1
[4,3,2,1,6,7,5] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,2] => [2,2,1,1,1,1] => 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) => [6,2] => [2,2,1,1,1,1] => 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) => [6,3] => [2,2,2,1,1,1] => 1
[4,3,2,5,1,6,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[4,3,2,5,1,7,6] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7,1] => [2,1,1,1,1,1,1] => 1
[4,3,2,5,6,1,7] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,3,2,5,6,7,1] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,3,2,5,7,1,6] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,3,2,5,7,6,1] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,3,2,6,1,5,7] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,3,2,6,1,7,5] => ([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,3,2,6,5,1,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,3,2,6,5,7,1] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,3,2,6,7,1,5] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,3,2,7,1,5,6] => ([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,3,2,7,1,6,5] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,3,2,7,5,1,6] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,3,5,1,2,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[4,3,5,1,2,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7,1] => [2,1,1,1,1,1,1] => 1
[4,3,5,1,6,2,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,3,5,1,6,7,2] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,3,5,1,7,2,6] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,3,5,1,7,6,2] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,3,5,2,1,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[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) => [8,1] => [2,1,1,1,1,1,1,1] => 1
[4,3,5,2,6,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,3,5,2,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,3,5,2,7,1,6] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,3,5,6,1,2,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,3,5,6,1,7,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,3,5,6,2,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,3,5,7,1,2,6] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,3,6,1,2,5,7] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,3,6,1,2,7,5] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,3,6,1,5,2,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,3,6,1,5,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,3,6,1,7,2,5] => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,3,6,2,1,5,7] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,3,6,2,1,7,5] => ([(0,1),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,3,6,2,5,1,7] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,3,6,5,1,2,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,3,7,1,2,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,3,7,1,2,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,3,7,1,5,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,3,7,2,1,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,5,1,2,3,6,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6] => [1,1,1,1,1,1] => 0
[4,5,1,2,3,7,6] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => [2,1,1,1,1,1] => 1
[4,5,1,2,6,3,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[4,5,1,2,6,7,3] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,5,1,2,7,3,6] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,5,1,2,7,6,3] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,5,1,3,2,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[4,5,1,3,2,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7,1] => [2,1,1,1,1,1,1] => 1
[4,5,1,3,6,2,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,5,1,3,6,7,2] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,5,1,3,7,2,6] => ([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,5,1,3,7,6,2] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,5,1,6,2,3,7] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,5,1,6,2,7,3] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,5,1,6,3,2,7] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,5,1,6,3,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,5,1,6,7,2,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,5,1,7,2,3,6] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,5,1,7,2,6,3] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,5,1,7,3,2,6] => ([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,5,2,1,3,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[4,5,2,1,3,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7,1] => [2,1,1,1,1,1,1] => 1
[4,5,2,1,6,3,7] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,5,2,1,6,7,3] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,5,2,1,7,3,6] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,5,2,1,7,6,3] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,5,2,3,1,6,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[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) => [8,1] => [2,1,1,1,1,1,1,1] => 1
[4,5,2,3,6,1,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,5,2,3,6,7,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,5,2,3,7,1,6] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,5,2,6,1,3,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,5,2,6,1,7,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,5,2,6,3,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,5,2,7,1,3,6] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,5,3,1,2,6,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[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) => [8,1] => [2,1,1,1,1,1,1,1] => 1
[4,5,3,1,6,2,7] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,5,3,1,6,7,2] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,5,3,1,7,2,6] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[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) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[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) => [9,1] => [2,1,1,1,1,1,1,1,1] => 1
[4,5,3,2,6,1,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,5,3,6,1,2,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,5,6,1,2,3,7] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,5,6,1,2,7,3] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,5,6,1,3,2,7] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,5,6,2,1,3,7] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,5,7,1,2,3,6] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,6,1,2,3,5,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[4,6,1,2,3,7,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,6,1,2,5,3,7] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,6,1,2,5,7,3] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,6,1,2,7,3,5] => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,6,1,2,7,5,3] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,6,1,3,2,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,6,1,3,2,7,5] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,6,1,3,5,2,7] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,6,1,3,5,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,6,1,3,7,2,5] => ([(0,1),(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,6,1,5,2,3,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,6,1,5,2,7,3] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,6,1,5,3,2,7] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,6,1,7,2,3,5] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,6,2,1,3,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,6,2,1,3,7,5] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,6,2,1,5,3,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,6,2,1,5,7,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,6,2,1,7,3,5] => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,6,2,3,1,5,7] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,6,2,3,1,7,5] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,6,2,3,5,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,6,2,5,1,3,7] => ([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,6,3,1,2,5,7] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,6,3,1,2,7,5] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,6,3,1,5,2,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,6,3,2,1,5,7] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,6,5,1,2,3,7] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,7,1,2,3,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[4,7,1,2,3,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,7,1,2,5,3,6] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,7,1,2,5,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,7,1,2,6,3,5] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,7,1,3,2,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,7,1,3,2,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,7,1,3,5,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,7,1,5,2,3,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,7,2,1,3,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[4,7,2,1,3,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,7,2,1,5,3,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,7,2,3,1,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[4,7,3,1,2,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,1,2,3,4,6,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [4] => [1,1,1,1] => 0
[5,1,2,3,4,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => [4,1] => [2,1,1,1] => 1
[5,1,2,3,6,4,7] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[5,1,2,3,6,7,4] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[5,1,2,3,7,4,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[5,1,2,3,7,6,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[5,1,2,4,3,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[5,1,2,4,3,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[5,1,2,4,6,3,7] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[5,1,2,4,6,7,3] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[5,1,2,4,7,3,6] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[5,1,2,4,7,6,3] => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,1,2,6,3,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[5,1,2,6,3,7,4] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[5,1,2,6,4,3,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[5,1,2,6,4,7,3] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,1,2,6,7,3,4] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,1,2,6,7,4,3] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,1,2,7,3,4,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[5,1,2,7,3,6,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,1,2,7,4,3,6] => ([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,1,2,7,4,6,3] => ([(0,5),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,1,2,7,6,3,4] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,1,2,7,6,4,3] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,1,3,2,4,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[5,1,3,2,4,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[5,1,3,2,6,4,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[5,1,3,2,6,7,4] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[5,1,3,2,7,4,6] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[5,1,3,2,7,6,4] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,1,3,4,2,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[5,1,3,4,2,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 1
[5,1,3,4,6,2,7] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[5,1,3,4,6,7,2] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,1,3,4,7,2,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,1,3,4,7,6,2] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,1,3,6,2,4,7] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[5,1,3,6,2,7,4] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,1,3,6,4,2,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,1,3,6,4,7,2] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,1,3,6,7,2,4] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,1,3,6,7,4,2] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,1,3,7,2,4,6] => ([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,1,3,7,2,6,4] => ([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,1,3,7,4,2,6] => ([(0,5),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,1,3,7,4,6,2] => ([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,1,3,7,6,2,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,1,4,2,3,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[5,1,4,2,3,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 1
[5,1,4,2,6,3,7] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[5,1,4,2,6,7,3] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,1,4,2,7,3,6] => ([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,1,4,2,7,6,3] => ([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,1,4,3,2,6,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[5,1,4,3,2,7,6] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7,1] => [2,1,1,1,1,1,1] => 1
[5,1,4,3,6,2,7] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,1,4,3,6,7,2] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,1,4,3,7,2,6] => ([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,1,4,3,7,6,2] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,1,4,6,2,3,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,1,4,6,2,7,3] => ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,1,4,6,3,2,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,1,4,6,3,7,2] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,1,4,6,7,2,3] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,1,4,7,2,3,6] => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,1,4,7,2,6,3] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,1,4,7,3,2,6] => ([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,1,6,2,3,4,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[5,1,6,2,3,7,4] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,1,6,2,4,3,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,1,6,2,4,7,3] => ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,1,6,2,7,3,4] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,1,6,2,7,4,3] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,1,6,3,2,4,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,1,6,3,2,7,4] => ([(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,1,6,3,4,2,7] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,1,6,3,4,7,2] => ([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,1,6,3,7,2,4] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,1,6,4,2,3,7] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,1,6,4,2,7,3] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,1,6,4,3,2,7] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,1,6,7,2,3,4] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,1,7,2,3,4,6] => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,1,7,2,3,6,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,1,7,2,4,3,6] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,1,7,2,4,6,3] => ([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,1,7,2,6,3,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,1,7,3,2,4,6] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,1,7,3,2,6,4] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,1,7,3,4,2,6] => ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,1,7,4,2,3,6] => ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,2,1,3,4,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[5,2,1,3,4,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [2,1,1,1,1] => 1
[5,2,1,3,6,4,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[5,2,1,3,6,7,4] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[5,2,1,3,7,4,6] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[5,2,1,3,7,6,4] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,2,1,4,3,6,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[5,2,1,4,3,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 1
[5,2,1,4,6,3,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[5,2,1,4,6,7,3] => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,2,1,4,7,3,6] => ([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,2,1,4,7,6,3] => ([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,2,1,6,3,4,7] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[5,2,1,6,3,7,4] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,2,1,6,4,3,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,2,1,6,4,7,3] => ([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,2,1,6,7,3,4] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,2,1,6,7,4,3] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,2,1,7,3,4,6] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,2,1,7,3,6,4] => ([(0,1),(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,2,1,7,4,3,6] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,2,1,7,4,6,3] => ([(0,1),(0,5),(1,5),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,2,1,7,6,3,4] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,2,3,1,4,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[5,2,3,1,4,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 1
[5,2,3,1,6,4,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[5,2,3,1,6,7,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,2,3,1,7,4,6] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,2,3,1,7,6,4] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,2,3,4,1,6,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[5,2,3,4,1,7,6] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7,1] => [2,1,1,1,1,1,1] => 1
[5,2,3,4,6,1,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,2,3,4,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,2,3,4,7,1,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,2,3,4,7,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,2,3,6,1,4,7] => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,2,3,6,1,7,4] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,2,3,6,4,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,2,3,6,4,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,2,3,6,7,1,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,2,3,7,1,4,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,2,3,7,1,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,2,3,7,4,1,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,2,4,1,3,6,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[5,2,4,1,3,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7,1] => [2,1,1,1,1,1,1] => 1
[5,2,4,1,6,3,7] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,2,4,1,6,7,3] => ([(0,5),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,2,4,1,7,3,6] => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,2,4,1,7,6,3] => ([(0,1),(0,5),(1,5),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,2,4,3,1,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[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) => [8,1] => [2,1,1,1,1,1,1,1] => 1
[5,2,4,3,6,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,2,4,3,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,2,4,3,7,1,6] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,2,4,6,1,3,7] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,2,4,6,1,7,3] => ([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,2,4,6,3,1,7] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,2,4,7,1,3,6] => ([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,2,6,1,3,4,7] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,2,6,1,3,7,4] => ([(0,5),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,2,6,1,4,3,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,2,6,1,4,7,3] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,2,6,1,7,3,4] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,2,6,3,1,4,7] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,2,6,3,1,7,4] => ([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,2,6,3,4,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,2,6,4,1,3,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,2,7,1,3,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,2,7,1,3,6,4] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,2,7,1,4,3,6] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,2,7,3,1,4,6] => ([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,3,1,2,4,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[5,3,1,2,4,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => 1
[5,3,1,2,6,4,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[5,3,1,2,6,7,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,3,1,2,7,4,6] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,3,1,2,7,6,4] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,3,1,4,2,6,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[5,3,1,4,2,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7,1] => [2,1,1,1,1,1,1] => 1
[5,3,1,4,6,2,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,3,1,4,6,7,2] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,3,1,4,7,2,6] => ([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,3,1,4,7,6,2] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,3,1,6,2,4,7] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,3,1,6,2,7,4] => ([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,3,1,6,4,2,7] => ([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,3,1,6,4,7,2] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,3,1,6,7,2,4] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,3,1,7,2,4,6] => ([(0,5),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,3,1,7,2,6,4] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,3,1,7,4,2,6] => ([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,3,2,1,4,6,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[5,3,2,1,4,7,6] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7,1] => [2,1,1,1,1,1,1] => 1
[5,3,2,1,6,4,7] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,3,2,1,6,7,4] => ([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,3,2,1,7,4,6] => ([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,3,2,1,7,6,4] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,3,2,4,1,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[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) => [8,1] => [2,1,1,1,1,1,1,1] => 1
[5,3,2,4,6,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,3,2,4,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,3,2,4,7,1,6] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,3,2,6,1,4,7] => ([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,3,2,6,1,7,4] => ([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,3,2,6,4,1,7] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,3,2,7,1,4,6] => ([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,3,4,1,2,6,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[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) => [8,1] => [2,1,1,1,1,1,1,1] => 1
[5,3,4,1,6,2,7] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,3,4,1,6,7,2] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,3,4,1,7,2,6] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[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) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[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) => [9,1] => [2,1,1,1,1,1,1,1,1] => 1
[5,3,4,2,6,1,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,3,4,6,1,2,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,3,6,1,2,4,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,3,6,1,2,7,4] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,3,6,1,4,2,7] => ([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,3,6,2,1,4,7] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,3,7,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,4,1,2,3,6,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[5,4,1,2,3,7,6] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7,1] => [2,1,1,1,1,1,1] => 1
[5,4,1,2,6,3,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,4,1,2,6,7,3] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,4,1,2,7,3,6] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,4,1,2,7,6,3] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,4,1,3,2,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[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) => [8,1] => [2,1,1,1,1,1,1,1] => 1
[5,4,1,3,6,2,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,4,1,3,6,7,2] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,4,1,3,7,2,6] => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,4,1,6,2,3,7] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,4,1,6,2,7,3] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,4,1,6,3,2,7] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,4,1,7,2,3,6] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,4,2,1,3,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[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) => [8,1] => [2,1,1,1,1,1,1,1] => 1
[5,4,2,1,6,3,7] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,4,2,1,6,7,3] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,4,2,1,7,3,6] => ([(0,1),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[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) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[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) => [9,1] => [2,1,1,1,1,1,1,1,1] => 1
[5,4,2,3,6,1,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,4,2,6,1,3,7] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[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) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[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) => [9,1] => [2,1,1,1,1,1,1,1,1] => 1
[5,4,3,1,6,2,7] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[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) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,4,6,1,2,3,7] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,6,1,2,3,4,7] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[5,6,1,2,3,7,4] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,6,1,2,4,3,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,6,1,2,4,7,3] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,6,1,2,7,3,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,6,1,3,2,4,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,6,1,3,2,7,4] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,6,1,3,4,2,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,6,1,4,2,3,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,6,2,1,3,4,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,6,2,1,3,7,4] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,6,2,1,4,3,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,6,2,3,1,4,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,6,3,1,2,4,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,7,1,2,3,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[5,7,1,2,3,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,7,1,2,4,3,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,7,1,3,2,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[5,7,2,1,3,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,1,2,3,4,5,7] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [5] => [1,1,1,1,1] => 0
[6,1,2,3,4,7,5] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[6,1,2,3,5,4,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[6,1,2,3,5,7,4] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[6,1,2,3,7,4,5] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[6,1,2,3,7,5,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,1,2,4,3,5,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[6,1,2,4,3,7,5] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[6,1,2,4,5,3,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[6,1,2,4,5,7,3] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,1,2,4,7,3,5] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,1,2,4,7,5,3] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,1,2,5,3,4,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[6,1,2,5,3,7,4] => ([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,1,2,5,4,3,7] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,1,2,5,4,7,3] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,1,2,5,7,3,4] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,1,2,5,7,4,3] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,1,2,7,3,4,5] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,1,2,7,3,5,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,1,2,7,4,3,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,1,2,7,4,5,3] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,1,2,7,5,3,4] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,1,3,2,4,5,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[6,1,3,2,4,7,5] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[6,1,3,2,5,4,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[6,1,3,2,5,7,4] => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,1,3,2,7,4,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,1,3,2,7,5,4] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,1,3,4,2,5,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[6,1,3,4,2,7,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,1,3,4,5,2,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,1,3,4,5,7,2] => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,1,3,4,7,2,5] => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,1,3,4,7,5,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,1,3,5,2,4,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,1,3,5,2,7,4] => ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,1,3,5,4,2,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,1,3,5,4,7,2] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,1,3,5,7,2,4] => ([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,1,3,7,2,4,5] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,1,3,7,2,5,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,1,3,7,4,2,5] => ([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,1,4,2,3,5,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[6,1,4,2,3,7,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,1,4,2,5,3,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,1,4,2,5,7,3] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,1,4,2,7,3,5] => ([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,1,4,2,7,5,3] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,1,4,3,2,5,7] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,1,4,3,2,7,5] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,1,4,3,5,2,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,1,4,3,5,7,2] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,1,4,3,7,2,5] => ([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,1,4,5,2,3,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,1,4,5,2,7,3] => ([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,1,4,5,3,2,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,1,4,7,2,3,5] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,1,5,2,3,4,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,1,5,2,3,7,4] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,1,5,2,4,3,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,1,5,2,4,7,3] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,1,5,2,7,3,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,1,5,3,2,4,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,1,5,3,2,7,4] => ([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,1,5,3,4,2,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,1,5,4,2,3,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,1,7,2,3,4,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,1,7,2,3,5,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,1,7,2,4,3,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,1,7,3,2,4,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,2,1,3,4,5,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[6,2,1,3,4,7,5] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[6,2,1,3,5,4,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[6,2,1,3,5,7,4] => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,2,1,3,7,4,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,2,1,3,7,5,4] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,2,1,4,3,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[6,2,1,4,3,7,5] => ([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,2,1,4,5,3,7] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,2,1,4,5,7,3] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,2,1,4,7,3,5] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,2,1,4,7,5,3] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,2,1,5,3,4,7] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,2,1,5,3,7,4] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,2,1,5,4,3,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,2,1,5,4,7,3] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,2,1,5,7,3,4] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,2,1,7,3,4,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,2,1,7,3,5,4] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,2,1,7,4,3,5] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,2,3,1,4,5,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[6,2,3,1,4,7,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,2,3,1,5,4,7] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,2,3,1,5,7,4] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,2,3,1,7,4,5] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,2,3,1,7,5,4] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,2,3,4,1,5,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,2,3,4,1,7,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,2,3,4,5,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,2,3,4,5,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,2,3,4,7,1,5] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,2,3,5,1,4,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,2,3,5,1,7,4] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,2,3,5,4,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,2,3,7,1,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,2,4,1,3,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,2,4,1,3,7,5] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,2,4,1,5,3,7] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,2,4,1,5,7,3] => ([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,2,4,1,7,3,5] => ([(0,1),(0,6),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,2,4,3,1,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,2,4,3,1,7,5] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,2,4,3,5,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,2,4,5,1,3,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,2,5,1,3,4,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,2,5,1,3,7,4] => ([(0,4),(1,5),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,2,5,1,4,3,7] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,2,5,3,1,4,7] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,2,7,1,3,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,3,1,2,4,5,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[6,3,1,2,4,7,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,3,1,2,5,4,7] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,3,1,2,5,7,4] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,3,1,2,7,4,5] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,3,1,2,7,5,4] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,3,1,4,2,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,3,1,4,2,7,5] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,3,1,4,5,2,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,3,1,4,5,7,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,3,1,4,7,2,5] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,3,1,5,2,4,7] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,3,1,5,2,7,4] => ([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,3,1,5,4,2,7] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,3,1,7,2,4,5] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,3,2,1,4,5,7] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,3,2,1,4,7,5] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,3,2,1,5,4,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,3,2,1,5,7,4] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,3,2,1,7,4,5] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,3,2,4,1,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,3,2,4,1,7,5] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,3,2,4,5,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,3,2,5,1,4,7] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,3,4,1,2,5,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,3,4,1,2,7,5] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,3,4,1,5,2,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,3,4,2,1,5,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,3,5,1,2,4,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,4,1,2,3,5,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[6,4,1,2,3,7,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,4,1,2,5,3,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,4,1,2,5,7,3] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,4,1,2,7,3,5] => ([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,4,1,3,2,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,4,1,3,2,7,5] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,4,1,3,5,2,7] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,4,1,5,2,3,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,4,2,1,3,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,4,2,1,3,7,5] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,4,2,1,5,3,7] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,4,2,3,1,5,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,4,3,1,2,5,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,5,1,2,3,4,7] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[6,5,1,2,3,7,4] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,5,1,2,4,3,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,5,1,3,2,4,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,5,2,1,3,4,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[6,7,1,2,3,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => 0
[7,1,2,3,4,6,5] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[7,1,2,3,5,4,6] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[7,1,2,3,5,6,4] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[7,1,2,3,6,4,5] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[7,1,2,3,6,5,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[7,1,2,4,3,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[7,1,2,4,3,6,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[7,1,2,4,5,3,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[7,1,2,4,5,6,3] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[7,1,2,4,6,3,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[7,1,2,4,6,5,3] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,1,2,5,3,4,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[7,1,2,5,3,6,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[7,1,2,5,4,3,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[7,1,2,5,4,6,3] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,1,2,5,6,3,4] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,1,2,6,3,4,5] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[7,1,2,6,3,5,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,1,2,6,4,3,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,1,3,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[7,1,3,2,4,6,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[7,1,3,2,5,4,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[7,1,3,2,5,6,4] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[7,1,3,2,6,4,5] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[7,1,3,2,6,5,4] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,1,3,4,2,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[7,1,3,4,2,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[7,1,3,4,5,2,6] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[7,1,3,4,5,6,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,1,3,4,6,2,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,1,3,5,2,4,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[7,1,3,5,2,6,4] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,1,3,5,4,2,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,1,3,6,2,4,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,1,4,2,3,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[7,1,4,2,3,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[7,1,4,2,5,3,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[7,1,4,2,5,6,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,1,4,2,6,3,5] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,1,4,3,2,5,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[7,1,4,3,2,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,1,4,3,5,2,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,1,4,5,2,3,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,1,5,2,3,4,6] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[7,1,5,2,3,6,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,1,5,2,4,3,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,1,5,3,2,4,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,1,6,2,3,4,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,2,1,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => 0
[7,2,1,3,4,6,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[7,2,1,3,5,4,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[7,2,1,3,5,6,4] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[7,2,1,3,6,4,5] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[7,2,1,3,6,5,4] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,2,1,4,3,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[7,2,1,4,3,6,5] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[7,2,1,4,5,3,6] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[7,2,1,4,5,6,3] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,2,1,4,6,3,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,2,1,5,3,4,6] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[7,2,1,5,3,6,4] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,2,1,5,4,3,6] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,2,1,6,3,4,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,2,3,1,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[7,2,3,1,4,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[7,2,3,1,5,4,6] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[7,2,3,1,5,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,2,3,1,6,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,2,3,4,1,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[7,2,3,4,1,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,2,3,4,5,1,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,2,3,5,1,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,2,4,1,3,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[7,2,4,1,3,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,2,4,1,5,3,6] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,2,4,3,1,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,2,5,1,3,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,3,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => 0
[7,3,1,2,4,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[7,3,1,2,5,4,6] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[7,3,1,2,5,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,3,1,2,6,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,3,1,4,2,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[7,3,1,4,2,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,3,1,4,5,2,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,3,1,5,2,4,6] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,3,2,1,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[7,3,2,1,4,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,3,2,1,5,4,6] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,3,2,4,1,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,3,4,1,2,5,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,4,1,2,3,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9] => [1,1,1,1,1,1,1,1,1] => 0
[7,4,1,2,3,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,4,1,2,5,3,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,4,1,3,2,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,4,2,1,3,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
[7,5,1,2,3,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 0
search for individual values
searching the database for the individual values of this statistic
Description
The spin of an integer partition.
The Ferrers shape of an integer partition $\lambda$ can be decomposed into border strips. The spin is then defined to be the total number of crossings of border strips of $\lambda$ with the vertical lines in the Ferrers shape.
The following example is taken from Appendix B in [1]: Let $\lambda = (5,5,4,4,2,1)$. Removing the border strips successively yields the sequence of partitions
$$(5,5,4,4,2,1), (4,3,3,1), (2,2), (1), ().$$
The first strip $(5,5,4,4,2,1) \setminus (4,3,3,1)$ crosses $4$ times, the second strip $(4,3,3,1) \setminus (2,2)$ crosses $3$ times, the strip $(2,2) \setminus (1)$ crosses $1$ time, and the remaining strip $(1) \setminus ()$ does not cross.
This yields the spin of $(5,5,4,4,2,1)$ to be $4+3+1 = 8$.
The Ferrers shape of an integer partition $\lambda$ can be decomposed into border strips. The spin is then defined to be the total number of crossings of border strips of $\lambda$ with the vertical lines in the Ferrers shape.
The following example is taken from Appendix B in [1]: Let $\lambda = (5,5,4,4,2,1)$. Removing the border strips successively yields the sequence of partitions
$$(5,5,4,4,2,1), (4,3,3,1), (2,2), (1), ().$$
The first strip $(5,5,4,4,2,1) \setminus (4,3,3,1)$ crosses $4$ times, the second strip $(4,3,3,1) \setminus (2,2)$ crosses $3$ times, the strip $(2,2) \setminus (1)$ crosses $1$ time, and the remaining strip $(1) \setminus ()$ does not cross.
This yields the spin of $(5,5,4,4,2,1)$ to be $4+3+1 = 8$.
Map
conjugate
Description
Return the conjugate partition of the partition.
The conjugate partition of the partition $\lambda$ of $n$ is the partition $\lambda^*$ whose Ferrers diagram is obtained from the diagram of $\lambda$ by interchanging rows with columns.
This is also called the associated partition or the transpose in the literature.
The conjugate partition of the partition $\lambda$ of $n$ is the partition $\lambda^*$ whose Ferrers diagram is obtained from the diagram of $\lambda$ by interchanging rows with columns.
This is also called the associated partition or the transpose in the literature.
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
to edge-partition of connected components
Description
Sends a graph to the partition recording the number of edges in its connected components.
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!