Identifier
-
Mp00223:
Permutations
—runsort⟶
Permutations
Mp00160: Permutations —graph of inversions⟶ Graphs
Mp00154: Graphs —core⟶ Graphs
St000379: Graphs ⟶ ℤ
Values
[1,3,2] => [1,3,2] => ([(1,2)],3) => ([(0,1)],2) => 0
[2,1,3] => [1,3,2] => ([(1,2)],3) => ([(0,1)],2) => 0
[1,2,4,3] => [1,2,4,3] => ([(2,3)],4) => ([(0,1)],2) => 0
[1,3,2,4] => [1,3,2,4] => ([(2,3)],4) => ([(0,1)],2) => 0
[1,3,4,2] => [1,3,4,2] => ([(1,3),(2,3)],4) => ([(0,1)],2) => 0
[1,4,2,3] => [1,4,2,3] => ([(1,3),(2,3)],4) => ([(0,1)],2) => 0
[1,4,3,2] => [1,4,2,3] => ([(1,3),(2,3)],4) => ([(0,1)],2) => 0
[2,1,3,4] => [1,3,4,2] => ([(1,3),(2,3)],4) => ([(0,1)],2) => 0
[2,1,4,3] => [1,4,2,3] => ([(1,3),(2,3)],4) => ([(0,1)],2) => 0
[2,3,1,4] => [1,4,2,3] => ([(1,3),(2,3)],4) => ([(0,1)],2) => 0
[2,4,1,3] => [1,3,2,4] => ([(2,3)],4) => ([(0,1)],2) => 0
[2,4,3,1] => [1,2,4,3] => ([(2,3)],4) => ([(0,1)],2) => 0
[3,1,2,4] => [1,2,4,3] => ([(2,3)],4) => ([(0,1)],2) => 0
[3,1,4,2] => [1,4,2,3] => ([(1,3),(2,3)],4) => ([(0,1)],2) => 0
[3,2,1,4] => [1,4,2,3] => ([(1,3),(2,3)],4) => ([(0,1)],2) => 0
[3,2,4,1] => [1,2,4,3] => ([(2,3)],4) => ([(0,1)],2) => 0
[4,1,3,2] => [1,3,2,4] => ([(2,3)],4) => ([(0,1)],2) => 0
[4,2,1,3] => [1,3,2,4] => ([(2,3)],4) => ([(0,1)],2) => 0
[1,2,3,5,4] => [1,2,3,5,4] => ([(3,4)],5) => ([(0,1)],2) => 0
[1,2,4,3,5] => [1,2,4,3,5] => ([(3,4)],5) => ([(0,1)],2) => 0
[1,2,4,5,3] => [1,2,4,5,3] => ([(2,4),(3,4)],5) => ([(0,1)],2) => 0
[1,2,5,3,4] => [1,2,5,3,4] => ([(2,4),(3,4)],5) => ([(0,1)],2) => 0
[1,2,5,4,3] => [1,2,5,3,4] => ([(2,4),(3,4)],5) => ([(0,1)],2) => 0
[1,3,2,4,5] => [1,3,2,4,5] => ([(3,4)],5) => ([(0,1)],2) => 0
[1,3,2,5,4] => [1,3,2,5,4] => ([(1,4),(2,3)],5) => ([(0,1)],2) => 0
[1,3,4,2,5] => [1,3,4,2,5] => ([(2,4),(3,4)],5) => ([(0,1)],2) => 0
[1,3,4,5,2] => [1,3,4,5,2] => ([(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 0
[1,3,5,2,4] => [1,3,5,2,4] => ([(1,4),(2,3),(3,4)],5) => ([(0,1)],2) => 0
[1,3,5,4,2] => [1,3,5,2,4] => ([(1,4),(2,3),(3,4)],5) => ([(0,1)],2) => 0
[1,4,2,3,5] => [1,4,2,3,5] => ([(2,4),(3,4)],5) => ([(0,1)],2) => 0
[1,4,2,5,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => ([(0,1)],2) => 0
[1,4,3,2,5] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => ([(0,1)],2) => 0
[1,4,3,5,2] => [1,4,2,3,5] => ([(2,4),(3,4)],5) => ([(0,1)],2) => 0
[1,4,5,2,3] => [1,4,5,2,3] => ([(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 0
[1,4,5,3,2] => [1,4,5,2,3] => ([(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 0
[1,5,2,3,4] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 0
[1,5,2,4,3] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 1
[1,5,3,2,4] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 1
[1,5,3,4,2] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 0
[1,5,4,2,3] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 0
[1,5,4,3,2] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 0
[2,1,3,4,5] => [1,3,4,5,2] => ([(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 0
[2,1,3,5,4] => [1,3,5,2,4] => ([(1,4),(2,3),(3,4)],5) => ([(0,1)],2) => 0
[2,1,4,3,5] => [1,4,2,3,5] => ([(2,4),(3,4)],5) => ([(0,1)],2) => 0
[2,1,4,5,3] => [1,4,5,2,3] => ([(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 0
[2,1,5,3,4] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 0
[2,1,5,4,3] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 0
[2,3,1,4,5] => [1,4,5,2,3] => ([(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 0
[2,3,1,5,4] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 0
[2,3,4,1,5] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 0
[2,3,5,1,4] => [1,4,2,3,5] => ([(2,4),(3,4)],5) => ([(0,1)],2) => 0
[2,3,5,4,1] => [1,2,3,5,4] => ([(3,4)],5) => ([(0,1)],2) => 0
[2,4,1,3,5] => [1,3,5,2,4] => ([(1,4),(2,3),(3,4)],5) => ([(0,1)],2) => 0
[2,4,1,5,3] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 1
[2,4,3,1,5] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 1
[2,4,3,5,1] => [1,2,4,3,5] => ([(3,4)],5) => ([(0,1)],2) => 0
[2,4,5,1,3] => [1,3,2,4,5] => ([(3,4)],5) => ([(0,1)],2) => 0
[2,4,5,3,1] => [1,2,4,5,3] => ([(2,4),(3,4)],5) => ([(0,1)],2) => 0
[2,5,1,3,4] => [1,3,4,2,5] => ([(2,4),(3,4)],5) => ([(0,1)],2) => 0
[2,5,1,4,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => ([(0,1)],2) => 0
[2,5,3,1,4] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => ([(0,1)],2) => 0
[2,5,3,4,1] => [1,2,5,3,4] => ([(2,4),(3,4)],5) => ([(0,1)],2) => 0
[2,5,4,1,3] => [1,3,2,5,4] => ([(1,4),(2,3)],5) => ([(0,1)],2) => 0
[2,5,4,3,1] => [1,2,5,3,4] => ([(2,4),(3,4)],5) => ([(0,1)],2) => 0
[3,1,2,4,5] => [1,2,4,5,3] => ([(2,4),(3,4)],5) => ([(0,1)],2) => 0
[3,1,2,5,4] => [1,2,5,3,4] => ([(2,4),(3,4)],5) => ([(0,1)],2) => 0
[3,1,4,2,5] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => ([(0,1)],2) => 0
[3,1,4,5,2] => [1,4,5,2,3] => ([(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 0
[3,1,5,2,4] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 1
[3,1,5,4,2] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 0
[3,2,1,4,5] => [1,4,5,2,3] => ([(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) => 0
[3,2,1,5,4] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 0
[3,2,4,1,5] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 1
[3,2,4,5,1] => [1,2,4,5,3] => ([(2,4),(3,4)],5) => ([(0,1)],2) => 0
[3,2,5,1,4] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => ([(0,1)],2) => 0
[3,2,5,4,1] => [1,2,5,3,4] => ([(2,4),(3,4)],5) => ([(0,1)],2) => 0
[3,4,1,2,5] => [1,2,5,3,4] => ([(2,4),(3,4)],5) => ([(0,1)],2) => 0
[3,4,1,5,2] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 0
[3,4,2,1,5] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 0
[3,4,2,5,1] => [1,2,5,3,4] => ([(2,4),(3,4)],5) => ([(0,1)],2) => 0
[3,5,1,2,4] => [1,2,4,3,5] => ([(3,4)],5) => ([(0,1)],2) => 0
[3,5,1,4,2] => [1,4,2,3,5] => ([(2,4),(3,4)],5) => ([(0,1)],2) => 0
[3,5,2,1,4] => [1,4,2,3,5] => ([(2,4),(3,4)],5) => ([(0,1)],2) => 0
[3,5,2,4,1] => [1,2,4,3,5] => ([(3,4)],5) => ([(0,1)],2) => 0
[3,5,4,1,2] => [1,2,3,5,4] => ([(3,4)],5) => ([(0,1)],2) => 0
[3,5,4,2,1] => [1,2,3,5,4] => ([(3,4)],5) => ([(0,1)],2) => 0
[4,1,2,3,5] => [1,2,3,5,4] => ([(3,4)],5) => ([(0,1)],2) => 0
[4,1,2,5,3] => [1,2,5,3,4] => ([(2,4),(3,4)],5) => ([(0,1)],2) => 0
[4,1,3,2,5] => [1,3,2,5,4] => ([(1,4),(2,3)],5) => ([(0,1)],2) => 0
[4,1,3,5,2] => [1,3,5,2,4] => ([(1,4),(2,3),(3,4)],5) => ([(0,1)],2) => 0
[4,1,5,2,3] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 0
[4,1,5,3,2] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 0
[4,2,1,3,5] => [1,3,5,2,4] => ([(1,4),(2,3),(3,4)],5) => ([(0,1)],2) => 0
[4,2,1,5,3] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 0
[4,2,3,1,5] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 0
[4,2,3,5,1] => [1,2,3,5,4] => ([(3,4)],5) => ([(0,1)],2) => 0
[4,2,5,1,3] => [1,3,2,5,4] => ([(1,4),(2,3)],5) => ([(0,1)],2) => 0
[4,2,5,3,1] => [1,2,5,3,4] => ([(2,4),(3,4)],5) => ([(0,1)],2) => 0
[4,3,1,2,5] => [1,2,5,3,4] => ([(2,4),(3,4)],5) => ([(0,1)],2) => 0
[4,3,1,5,2] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 0
[4,3,2,1,5] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => ([(0,1)],2) => 0
>>> Load all 810 entries. <<<[4,3,2,5,1] => [1,2,5,3,4] => ([(2,4),(3,4)],5) => ([(0,1)],2) => 0
[4,3,5,1,2] => [1,2,3,5,4] => ([(3,4)],5) => ([(0,1)],2) => 0
[4,3,5,2,1] => [1,2,3,5,4] => ([(3,4)],5) => ([(0,1)],2) => 0
[4,5,1,3,2] => [1,3,2,4,5] => ([(3,4)],5) => ([(0,1)],2) => 0
[4,5,2,1,3] => [1,3,2,4,5] => ([(3,4)],5) => ([(0,1)],2) => 0
[5,1,2,4,3] => [1,2,4,3,5] => ([(3,4)],5) => ([(0,1)],2) => 0
[5,1,3,2,4] => [1,3,2,4,5] => ([(3,4)],5) => ([(0,1)],2) => 0
[5,1,3,4,2] => [1,3,4,2,5] => ([(2,4),(3,4)],5) => ([(0,1)],2) => 0
[5,1,4,2,3] => [1,4,2,3,5] => ([(2,4),(3,4)],5) => ([(0,1)],2) => 0
[5,1,4,3,2] => [1,4,2,3,5] => ([(2,4),(3,4)],5) => ([(0,1)],2) => 0
[5,2,1,3,4] => [1,3,4,2,5] => ([(2,4),(3,4)],5) => ([(0,1)],2) => 0
[5,2,1,4,3] => [1,4,2,3,5] => ([(2,4),(3,4)],5) => ([(0,1)],2) => 0
[5,2,3,1,4] => [1,4,2,3,5] => ([(2,4),(3,4)],5) => ([(0,1)],2) => 0
[5,2,4,1,3] => [1,3,2,4,5] => ([(3,4)],5) => ([(0,1)],2) => 0
[5,2,4,3,1] => [1,2,4,3,5] => ([(3,4)],5) => ([(0,1)],2) => 0
[5,3,1,2,4] => [1,2,4,3,5] => ([(3,4)],5) => ([(0,1)],2) => 0
[5,3,1,4,2] => [1,4,2,3,5] => ([(2,4),(3,4)],5) => ([(0,1)],2) => 0
[5,3,2,1,4] => [1,4,2,3,5] => ([(2,4),(3,4)],5) => ([(0,1)],2) => 0
[5,3,2,4,1] => [1,2,4,3,5] => ([(3,4)],5) => ([(0,1)],2) => 0
[5,4,1,3,2] => [1,3,2,4,5] => ([(3,4)],5) => ([(0,1)],2) => 0
[5,4,2,1,3] => [1,3,2,4,5] => ([(3,4)],5) => ([(0,1)],2) => 0
[1,2,3,4,6,5] => [1,2,3,4,6,5] => ([(4,5)],6) => ([(0,1)],2) => 0
[1,2,3,5,4,6] => [1,2,3,5,4,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[1,2,3,5,6,4] => [1,2,3,5,6,4] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,2,3,6,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,2,3,6,5,4] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,2,4,3,5,6] => [1,2,4,3,5,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => ([(0,1)],2) => 0
[1,2,4,5,3,6] => [1,2,4,5,3,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,2,4,5,6,3] => [1,2,4,5,6,3] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,2,4,6,3,5] => [1,2,4,6,3,5] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[1,2,4,6,5,3] => [1,2,4,6,3,5] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[1,2,5,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,2,5,3,6,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[1,2,5,4,3,6] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[1,2,5,4,6,3] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,2,5,6,3,4] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[1,2,5,6,4,3] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,2,6,3,5,4] => [1,2,6,3,5,4] => ([(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[1,2,6,4,3,5] => [1,2,6,3,5,4] => ([(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[1,2,6,4,5,3] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,2,6,5,3,4] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,2,6,5,4,3] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,3,2,4,5,6] => [1,3,2,4,5,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[1,3,2,4,6,5] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => ([(0,1)],2) => 0
[1,3,2,5,4,6] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6) => ([(0,1)],2) => 0
[1,3,2,5,6,4] => [1,3,2,5,6,4] => ([(1,2),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,3,2,6,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,3,2,6,5,4] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,3,4,2,5,6] => [1,3,4,2,5,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,3,4,2,6,5] => [1,3,4,2,6,5] => ([(1,2),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,3,4,5,2,6] => [1,3,4,5,2,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,3,4,5,6,2] => [1,3,4,5,6,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,3,4,6,2,5] => [1,3,4,6,2,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[1,3,4,6,5,2] => [1,3,4,6,2,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[1,3,5,2,4,6] => [1,3,5,2,4,6] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[1,3,5,2,6,4] => [1,3,5,2,6,4] => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[1,3,5,4,2,6] => [1,3,5,2,6,4] => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[1,3,5,4,6,2] => [1,3,5,2,4,6] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[1,3,5,6,2,4] => [1,3,5,6,2,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,3,5,6,4,2] => [1,3,5,6,2,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,3,6,2,4,5] => [1,3,6,2,4,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[1,3,6,2,5,4] => [1,3,6,2,5,4] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[1,3,6,4,2,5] => [1,3,6,2,5,4] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[1,3,6,4,5,2] => [1,3,6,2,4,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[1,3,6,5,2,4] => [1,3,6,2,4,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[1,3,6,5,4,2] => [1,3,6,2,4,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,4,2,3,6,5] => [1,4,2,3,6,5] => ([(1,2),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,4,2,5,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[1,4,2,5,6,3] => [1,4,2,5,6,3] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[1,4,2,6,3,5] => [1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[1,4,2,6,5,3] => [1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[1,4,3,2,5,6] => [1,4,2,5,6,3] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[1,4,3,2,6,5] => [1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[1,4,3,5,2,6] => [1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[1,4,3,5,6,2] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,4,3,6,2,5] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[1,4,3,6,5,2] => [1,4,2,3,6,5] => ([(1,2),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,4,5,2,3,6] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[1,4,5,2,6,3] => [1,4,5,2,6,3] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,4,5,3,2,6] => [1,4,5,2,6,3] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,4,5,3,6,2] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[1,4,5,6,2,3] => [1,4,5,6,2,3] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[1,4,5,6,3,2] => [1,4,5,6,2,3] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[1,4,6,2,3,5] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,4,6,2,5,3] => [1,4,6,2,5,3] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[1,4,6,3,2,5] => [1,4,6,2,5,3] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[1,4,6,3,5,2] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,4,6,5,2,3] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,4,6,5,3,2] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,5,2,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,5,2,3,6,4] => [1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[1,5,2,4,3,6] => [1,5,2,4,3,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[1,5,2,4,6,3] => [1,5,2,4,6,3] => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[1,5,2,6,3,4] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,5,2,6,4,3] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,5,3,2,4,6] => [1,5,2,4,6,3] => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[1,5,3,2,6,4] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,5,3,4,2,6] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,5,3,4,6,2] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,5,3,6,2,4] => [1,5,2,4,3,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[1,5,3,6,4,2] => [1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[1,5,4,2,3,6] => [1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[1,5,4,2,6,3] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,5,4,3,2,6] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,5,4,3,6,2] => [1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[1,5,4,6,2,3] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,5,4,6,3,2] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,5,6,2,3,4] => [1,5,6,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[1,5,6,2,4,3] => [1,5,6,2,4,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[1,5,6,3,2,4] => [1,5,6,2,4,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[1,5,6,3,4,2] => [1,5,6,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[1,5,6,4,2,3] => [1,5,6,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[1,5,6,4,3,2] => [1,5,6,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,6,2,3,5,4] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[1,6,2,4,3,5] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[1,6,2,4,5,3] => [1,6,2,4,5,3] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[1,6,2,5,3,4] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[1,6,2,5,4,3] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[1,6,3,2,4,5] => [1,6,2,4,5,3] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[1,6,3,2,5,4] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[1,6,3,4,2,5] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[1,6,3,4,5,2] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,6,3,5,2,4] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[1,6,3,5,4,2] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[1,6,4,2,3,5] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[1,6,4,2,5,3] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[1,6,4,3,2,5] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[1,6,4,3,5,2] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[1,6,4,5,2,3] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,6,4,5,3,2] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,6,5,2,3,4] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,6,5,2,4,3] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[1,6,5,3,2,4] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[1,6,5,3,4,2] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,6,5,4,2,3] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,6,5,4,3,2] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,1,3,4,5,6] => [1,3,4,5,6,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,1,3,4,6,5] => [1,3,4,6,2,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[2,1,3,5,4,6] => [1,3,5,2,4,6] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[2,1,3,5,6,4] => [1,3,5,6,2,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,1,3,6,4,5] => [1,3,6,2,4,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[2,1,3,6,5,4] => [1,3,6,2,4,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[2,1,4,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,1,4,3,6,5] => [1,4,2,3,6,5] => ([(1,2),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,1,4,5,3,6] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[2,1,4,5,6,3] => [1,4,5,6,2,3] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[2,1,4,6,3,5] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,1,4,6,5,3] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,1,5,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,1,5,3,6,4] => [1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[2,1,5,4,3,6] => [1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[2,1,5,4,6,3] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,1,5,6,3,4] => [1,5,6,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[2,1,5,6,4,3] => [1,5,6,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[2,1,6,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,1,6,3,5,4] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[2,1,6,4,3,5] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[2,1,6,4,5,3] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,1,6,5,3,4] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,1,6,5,4,3] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,3,1,4,5,6] => [1,4,5,6,2,3] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[2,3,1,4,6,5] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,3,1,5,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,3,1,5,6,4] => [1,5,6,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[2,3,1,6,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,3,1,6,5,4] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,3,4,1,5,6] => [1,5,6,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[2,3,4,1,6,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,3,4,5,1,6] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,3,4,6,1,5] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,3,4,6,5,1] => [1,2,3,4,6,5] => ([(4,5)],6) => ([(0,1)],2) => 0
[2,3,5,1,4,6] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,3,5,1,6,4] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[2,3,5,4,1,6] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[2,3,5,4,6,1] => [1,2,3,5,4,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[2,3,5,6,1,4] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,3,5,6,4,1] => [1,2,3,5,6,4] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,3,6,1,4,5] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[2,3,6,1,5,4] => [1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[2,3,6,4,1,5] => [1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[2,3,6,4,5,1] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,3,6,5,1,4] => [1,4,2,3,6,5] => ([(1,2),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,3,6,5,4,1] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,4,1,3,5,6] => [1,3,5,6,2,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,4,1,3,6,5] => [1,3,6,2,4,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[2,4,1,5,3,6] => [1,5,2,4,3,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[2,4,1,5,6,3] => [1,5,6,2,4,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[2,4,1,6,3,5] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[2,4,1,6,5,3] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[2,4,3,1,5,6] => [1,5,6,2,4,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[2,4,3,1,6,5] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[2,4,3,5,1,6] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[2,4,3,5,6,1] => [1,2,4,3,5,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[2,4,3,6,1,5] => [1,5,2,4,3,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[2,4,3,6,5,1] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => ([(0,1)],2) => 0
[2,4,5,1,3,6] => [1,3,6,2,4,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[2,4,5,1,6,3] => [1,6,2,4,5,3] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[2,4,5,3,1,6] => [1,6,2,4,5,3] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[2,4,5,3,6,1] => [1,2,4,5,3,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,4,5,6,1,3] => [1,3,2,4,5,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[2,4,5,6,3,1] => [1,2,4,5,6,3] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,4,6,1,3,5] => [1,3,5,2,4,6] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[2,4,6,1,5,3] => [1,5,2,4,6,3] => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[2,4,6,3,1,5] => [1,5,2,4,6,3] => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[2,4,6,3,5,1] => [1,2,4,6,3,5] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[2,4,6,5,1,3] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => ([(0,1)],2) => 0
[2,4,6,5,3,1] => [1,2,4,6,3,5] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[2,5,1,3,4,6] => [1,3,4,6,2,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[2,5,1,3,6,4] => [1,3,6,2,5,4] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[2,5,1,4,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[2,5,1,4,6,3] => [1,4,6,2,5,3] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[2,5,1,6,3,4] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[2,5,1,6,4,3] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[2,5,3,1,4,6] => [1,4,6,2,5,3] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[2,5,3,1,6,4] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[2,5,3,4,1,6] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[2,5,3,4,6,1] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,5,3,6,1,4] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[2,5,3,6,4,1] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[2,5,4,1,3,6] => [1,3,6,2,5,4] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[2,5,4,1,6,3] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[2,5,4,3,1,6] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[2,5,4,3,6,1] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[2,5,4,6,1,3] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6) => ([(0,1)],2) => 0
[2,5,4,6,3,1] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,5,6,1,3,4] => [1,3,4,2,5,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,5,6,1,4,3] => [1,4,2,5,6,3] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[2,5,6,3,1,4] => [1,4,2,5,6,3] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[2,5,6,3,4,1] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[2,5,6,4,1,3] => [1,3,2,5,6,4] => ([(1,2),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,5,6,4,3,1] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[2,6,1,3,4,5] => [1,3,4,5,2,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,6,1,3,5,4] => [1,3,5,2,6,4] => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[2,6,1,4,3,5] => [1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[2,6,1,4,5,3] => [1,4,5,2,6,3] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,6,1,5,3,4] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,6,1,5,4,3] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,6,3,1,4,5] => [1,4,5,2,6,3] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,6,3,1,5,4] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,6,3,4,1,5] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,6,3,4,5,1] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,6,3,5,1,4] => [1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[2,6,3,5,4,1] => [1,2,6,3,5,4] => ([(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[2,6,4,1,3,5] => [1,3,5,2,6,4] => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[2,6,4,1,5,3] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,6,4,3,1,5] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,6,4,3,5,1] => [1,2,6,3,5,4] => ([(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[2,6,4,5,1,3] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,6,4,5,3,1] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,6,5,1,3,4] => [1,3,4,2,6,5] => ([(1,2),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,6,5,1,4,3] => [1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[2,6,5,3,1,4] => [1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[2,6,5,3,4,1] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,6,5,4,1,3] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,6,5,4,3,1] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,1,2,4,5,6] => [1,2,4,5,6,3] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,1,2,4,6,5] => [1,2,4,6,3,5] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[3,1,2,5,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,1,2,5,6,4] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[3,1,2,6,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,1,2,6,5,4] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,1,4,2,5,6] => [1,4,2,5,6,3] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[3,1,4,2,6,5] => [1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[3,1,4,5,2,6] => [1,4,5,2,6,3] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,1,4,5,6,2] => [1,4,5,6,2,3] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[3,1,4,6,2,5] => [1,4,6,2,5,3] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[3,1,4,6,5,2] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,1,5,2,4,6] => [1,5,2,4,6,3] => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[3,1,5,2,6,4] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,1,5,4,2,6] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,1,5,4,6,2] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,1,5,6,2,4] => [1,5,6,2,4,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[3,1,5,6,4,2] => [1,5,6,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[3,1,6,2,4,5] => [1,6,2,4,5,3] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[3,1,6,2,5,4] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[3,1,6,4,2,5] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[3,1,6,4,5,2] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,1,6,5,2,4] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[3,1,6,5,4,2] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,2,1,4,5,6] => [1,4,5,6,2,3] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[3,2,1,4,6,5] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,2,1,5,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,2,1,5,6,4] => [1,5,6,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[3,2,1,6,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,2,1,6,5,4] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,2,4,1,5,6] => [1,5,6,2,4,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[3,2,4,1,6,5] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[3,2,4,5,1,6] => [1,6,2,4,5,3] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[3,2,4,5,6,1] => [1,2,4,5,6,3] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,2,4,6,1,5] => [1,5,2,4,6,3] => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[3,2,4,6,5,1] => [1,2,4,6,3,5] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[3,2,5,1,4,6] => [1,4,6,2,5,3] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[3,2,5,1,6,4] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[3,2,5,4,1,6] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[3,2,5,4,6,1] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,2,5,6,1,4] => [1,4,2,5,6,3] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[3,2,5,6,4,1] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[3,2,6,1,4,5] => [1,4,5,2,6,3] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,2,6,1,5,4] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,2,6,4,1,5] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,2,6,4,5,1] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,2,6,5,1,4] => [1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[3,2,6,5,4,1] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,4,1,2,5,6] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[3,4,1,2,6,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,4,1,5,2,6] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,4,1,5,6,2] => [1,5,6,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[3,4,1,6,2,5] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[3,4,1,6,5,2] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,4,2,1,5,6] => [1,5,6,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[3,4,2,1,6,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,4,2,5,1,6] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[3,4,2,5,6,1] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[3,4,2,6,1,5] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,4,2,6,5,1] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,4,5,1,2,6] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,4,5,1,6,2] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,4,5,2,1,6] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,4,5,2,6,1] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,4,6,1,2,5] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,4,6,1,5,2] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,4,6,2,1,5] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,4,6,2,5,1] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,4,6,5,1,2] => [1,2,3,4,6,5] => ([(4,5)],6) => ([(0,1)],2) => 0
[3,4,6,5,2,1] => [1,2,3,4,6,5] => ([(4,5)],6) => ([(0,1)],2) => 0
[3,5,1,2,4,6] => [1,2,4,6,3,5] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[3,5,1,2,6,4] => [1,2,6,3,5,4] => ([(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[3,5,1,4,2,6] => [1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[3,5,1,4,6,2] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,5,1,6,2,4] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[3,5,1,6,4,2] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[3,5,2,1,4,6] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,5,2,1,6,4] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[3,5,2,4,1,6] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[3,5,2,4,6,1] => [1,2,4,6,3,5] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[3,5,2,6,1,4] => [1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[3,5,2,6,4,1] => [1,2,6,3,5,4] => ([(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[3,5,4,1,2,6] => [1,2,6,3,5,4] => ([(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[3,5,4,1,6,2] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[3,5,4,2,1,6] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[3,5,4,2,6,1] => [1,2,6,3,5,4] => ([(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[3,5,4,6,1,2] => [1,2,3,5,4,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[3,5,4,6,2,1] => [1,2,3,5,4,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[3,5,6,1,2,4] => [1,2,4,3,5,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[3,5,6,1,4,2] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,5,6,2,1,4] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,5,6,2,4,1] => [1,2,4,3,5,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[3,5,6,4,1,2] => [1,2,3,5,6,4] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,5,6,4,2,1] => [1,2,3,5,6,4] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,6,1,2,4,5] => [1,2,4,5,3,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,6,1,2,5,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[3,6,1,4,2,5] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[3,6,1,4,5,2] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[3,6,1,5,2,4] => [1,5,2,4,3,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[3,6,1,5,4,2] => [1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[3,6,2,1,4,5] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[3,6,2,1,5,4] => [1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[3,6,2,4,1,5] => [1,5,2,4,3,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[3,6,2,4,5,1] => [1,2,4,5,3,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,6,2,5,1,4] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[3,6,2,5,4,1] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[3,6,4,1,2,5] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[3,6,4,1,5,2] => [1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[3,6,4,2,1,5] => [1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[3,6,4,2,5,1] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[3,6,4,5,1,2] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,6,4,5,2,1] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,6,5,1,2,4] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => ([(0,1)],2) => 0
[3,6,5,1,4,2] => [1,4,2,3,6,5] => ([(1,2),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,6,5,2,1,4] => [1,4,2,3,6,5] => ([(1,2),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,6,5,2,4,1] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => ([(0,1)],2) => 0
[3,6,5,4,1,2] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,6,5,4,2,1] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,1,2,3,5,6] => [1,2,3,5,6,4] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,1,2,3,6,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,1,2,5,3,6] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[4,1,2,5,6,3] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[4,1,2,6,3,5] => [1,2,6,3,5,4] => ([(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[4,1,2,6,5,3] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,1,3,2,5,6] => [1,3,2,5,6,4] => ([(1,2),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,1,3,2,6,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,1,3,5,2,6] => [1,3,5,2,6,4] => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[4,1,3,5,6,2] => [1,3,5,6,2,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,1,3,6,2,5] => [1,3,6,2,5,4] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[4,1,3,6,5,2] => [1,3,6,2,4,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[4,1,5,2,3,6] => [1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[4,1,5,2,6,3] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,1,5,3,2,6] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,1,5,3,6,2] => [1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[4,1,5,6,2,3] => [1,5,6,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[4,1,5,6,3,2] => [1,5,6,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[4,1,6,2,3,5] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[4,1,6,2,5,3] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[4,1,6,3,2,5] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[4,1,6,3,5,2] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[4,1,6,5,2,3] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,1,6,5,3,2] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,2,1,3,5,6] => [1,3,5,6,2,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,2,1,3,6,5] => [1,3,6,2,4,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[4,2,1,5,3,6] => [1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[4,2,1,5,6,3] => [1,5,6,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[4,2,1,6,3,5] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[4,2,1,6,5,3] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,2,3,1,5,6] => [1,5,6,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[4,2,3,1,6,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,2,3,5,1,6] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[4,2,3,5,6,1] => [1,2,3,5,6,4] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,2,3,6,1,5] => [1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[4,2,3,6,5,1] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,2,5,1,3,6] => [1,3,6,2,5,4] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[4,2,5,1,6,3] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[4,2,5,3,1,6] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[4,2,5,3,6,1] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[4,2,5,6,1,3] => [1,3,2,5,6,4] => ([(1,2),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,2,5,6,3,1] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[4,2,6,1,3,5] => [1,3,5,2,6,4] => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[4,2,6,1,5,3] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,2,6,3,1,5] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,2,6,3,5,1] => [1,2,6,3,5,4] => ([(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[4,2,6,5,1,3] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,2,6,5,3,1] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,3,1,2,5,6] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[4,3,1,2,6,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,3,1,5,2,6] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,3,1,5,6,2] => [1,5,6,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[4,3,1,6,2,5] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[4,3,1,6,5,2] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,3,2,1,5,6] => [1,5,6,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[4,3,2,1,6,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,3,2,5,1,6] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[4,3,2,5,6,1] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[4,3,2,6,1,5] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,3,2,6,5,1] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,3,5,1,2,6] => [1,2,6,3,5,4] => ([(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[4,3,5,1,6,2] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[4,3,5,2,1,6] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[4,3,5,2,6,1] => [1,2,6,3,5,4] => ([(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[4,3,5,6,1,2] => [1,2,3,5,6,4] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,3,5,6,2,1] => [1,2,3,5,6,4] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,3,6,1,2,5] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[4,3,6,1,5,2] => [1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[4,3,6,2,1,5] => [1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[4,3,6,2,5,1] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[4,3,6,5,1,2] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,3,6,5,2,1] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,5,1,2,3,6] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,5,1,2,6,3] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,5,1,3,2,6] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,5,1,3,6,2] => [1,3,6,2,4,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[4,5,1,6,2,3] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,5,1,6,3,2] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,5,2,1,3,6] => [1,3,6,2,4,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[4,5,2,1,6,3] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,5,2,3,1,6] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,5,2,3,6,1] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,5,2,6,1,3] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,5,2,6,3,1] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,5,3,1,2,6] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,5,3,1,6,2] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,5,3,2,1,6] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,5,3,2,6,1] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,5,3,6,1,2] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,5,3,6,2,1] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,5,6,1,3,2] => [1,3,2,4,5,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[4,5,6,2,1,3] => [1,3,2,4,5,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[4,6,1,2,3,5] => [1,2,3,5,4,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[4,6,1,2,5,3] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,6,1,3,2,5] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6) => ([(0,1)],2) => 0
[4,6,1,3,5,2] => [1,3,5,2,4,6] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[4,6,1,5,2,3] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,6,1,5,3,2] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,6,2,1,3,5] => [1,3,5,2,4,6] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[4,6,2,1,5,3] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,6,2,3,1,5] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,6,2,3,5,1] => [1,2,3,5,4,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[4,6,2,5,1,3] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6) => ([(0,1)],2) => 0
[4,6,2,5,3,1] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,6,3,1,2,5] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,6,3,1,5,2] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,6,3,2,1,5] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,6,3,2,5,1] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[4,6,3,5,1,2] => [1,2,3,5,4,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[4,6,3,5,2,1] => [1,2,3,5,4,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[4,6,5,1,2,3] => [1,2,3,4,6,5] => ([(4,5)],6) => ([(0,1)],2) => 0
[4,6,5,1,3,2] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => ([(0,1)],2) => 0
[4,6,5,2,1,3] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => ([(0,1)],2) => 0
[4,6,5,2,3,1] => [1,2,3,4,6,5] => ([(4,5)],6) => ([(0,1)],2) => 0
[4,6,5,3,1,2] => [1,2,3,4,6,5] => ([(4,5)],6) => ([(0,1)],2) => 0
[4,6,5,3,2,1] => [1,2,3,4,6,5] => ([(4,5)],6) => ([(0,1)],2) => 0
[5,1,2,3,4,6] => [1,2,3,4,6,5] => ([(4,5)],6) => ([(0,1)],2) => 0
[5,1,2,3,6,4] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,1,2,4,3,6] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => ([(0,1)],2) => 0
[5,1,2,4,6,3] => [1,2,4,6,3,5] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[5,1,2,6,3,4] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,1,2,6,4,3] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,1,3,2,4,6] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => ([(0,1)],2) => 0
[5,1,3,2,6,4] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,1,3,4,2,6] => [1,3,4,2,6,5] => ([(1,2),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,1,3,4,6,2] => [1,3,4,6,2,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[5,1,3,6,2,4] => [1,3,6,2,4,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[5,1,3,6,4,2] => [1,3,6,2,4,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[5,1,4,2,3,6] => [1,4,2,3,6,5] => ([(1,2),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,1,4,2,6,3] => [1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[5,1,4,3,2,6] => [1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[5,1,4,3,6,2] => [1,4,2,3,6,5] => ([(1,2),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,1,4,6,2,3] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,1,4,6,3,2] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,1,6,2,3,4] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,1,6,2,4,3] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[5,1,6,3,2,4] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[5,1,6,3,4,2] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,1,6,4,2,3] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,1,6,4,3,2] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,2,1,3,4,6] => [1,3,4,6,2,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[5,2,1,3,6,4] => [1,3,6,2,4,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[5,2,1,4,3,6] => [1,4,2,3,6,5] => ([(1,2),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,2,1,4,6,3] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,2,1,6,3,4] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,2,1,6,4,3] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,2,3,1,4,6] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,2,3,1,6,4] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,2,3,4,1,6] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,2,3,4,6,1] => [1,2,3,4,6,5] => ([(4,5)],6) => ([(0,1)],2) => 0
[5,2,3,6,1,4] => [1,4,2,3,6,5] => ([(1,2),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,2,3,6,4,1] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,2,4,1,3,6] => [1,3,6,2,4,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[5,2,4,1,6,3] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[5,2,4,3,1,6] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[5,2,4,3,6,1] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => ([(0,1)],2) => 0
[5,2,4,6,1,3] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => ([(0,1)],2) => 0
[5,2,4,6,3,1] => [1,2,4,6,3,5] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[5,2,6,1,3,4] => [1,3,4,2,6,5] => ([(1,2),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,2,6,1,4,3] => [1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[5,2,6,3,1,4] => [1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[5,2,6,3,4,1] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,2,6,4,1,3] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,2,6,4,3,1] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,3,1,2,4,6] => [1,2,4,6,3,5] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[5,3,1,2,6,4] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,3,1,4,2,6] => [1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[5,3,1,4,6,2] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,3,1,6,2,4] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[5,3,1,6,4,2] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,3,2,1,4,6] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,3,2,1,6,4] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,3,2,4,1,6] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[5,3,2,4,6,1] => [1,2,4,6,3,5] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[5,3,2,6,1,4] => [1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[5,3,2,6,4,1] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,3,4,1,2,6] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,3,4,1,6,2] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,3,4,2,1,6] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,3,4,2,6,1] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,3,4,6,1,2] => [1,2,3,4,6,5] => ([(4,5)],6) => ([(0,1)],2) => 0
[5,3,4,6,2,1] => [1,2,3,4,6,5] => ([(4,5)],6) => ([(0,1)],2) => 0
[5,3,6,1,2,4] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => ([(0,1)],2) => 0
[5,3,6,1,4,2] => [1,4,2,3,6,5] => ([(1,2),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,3,6,2,1,4] => [1,4,2,3,6,5] => ([(1,2),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,3,6,2,4,1] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => ([(0,1)],2) => 0
[5,3,6,4,1,2] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,3,6,4,2,1] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,4,1,2,3,6] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,4,1,2,6,3] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,4,1,3,2,6] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,4,1,3,6,2] => [1,3,6,2,4,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[5,4,1,6,2,3] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,4,1,6,3,2] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,4,2,1,3,6] => [1,3,6,2,4,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[5,4,2,1,6,3] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,4,2,3,1,6] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,4,2,3,6,1] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,4,2,6,1,3] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,4,2,6,3,1] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,4,3,1,2,6] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,4,3,1,6,2] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,4,3,2,1,6] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,4,3,2,6,1] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,4,3,6,1,2] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,4,3,6,2,1] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,4,6,1,2,3] => [1,2,3,4,6,5] => ([(4,5)],6) => ([(0,1)],2) => 0
[5,4,6,1,3,2] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => ([(0,1)],2) => 0
[5,4,6,2,1,3] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => ([(0,1)],2) => 0
[5,4,6,2,3,1] => [1,2,3,4,6,5] => ([(4,5)],6) => ([(0,1)],2) => 0
[5,4,6,3,1,2] => [1,2,3,4,6,5] => ([(4,5)],6) => ([(0,1)],2) => 0
[5,4,6,3,2,1] => [1,2,3,4,6,5] => ([(4,5)],6) => ([(0,1)],2) => 0
[5,6,1,2,4,3] => [1,2,4,3,5,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[5,6,1,3,2,4] => [1,3,2,4,5,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[5,6,1,3,4,2] => [1,3,4,2,5,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,6,1,4,2,3] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,6,1,4,3,2] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,6,2,1,3,4] => [1,3,4,2,5,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,6,2,1,4,3] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,6,2,3,1,4] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,6,2,4,1,3] => [1,3,2,4,5,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[5,6,2,4,3,1] => [1,2,4,3,5,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[5,6,3,1,2,4] => [1,2,4,3,5,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[5,6,3,1,4,2] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,6,3,2,1,4] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[5,6,3,2,4,1] => [1,2,4,3,5,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[5,6,4,1,3,2] => [1,3,2,4,5,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[5,6,4,2,1,3] => [1,3,2,4,5,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[6,1,2,3,5,4] => [1,2,3,5,4,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[6,1,2,4,3,5] => [1,2,4,3,5,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[6,1,2,4,5,3] => [1,2,4,5,3,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,1,2,5,3,4] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,1,2,5,4,3] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,1,3,2,4,5] => [1,3,2,4,5,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[6,1,3,2,5,4] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6) => ([(0,1)],2) => 0
[6,1,3,4,2,5] => [1,3,4,2,5,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,1,3,4,5,2] => [1,3,4,5,2,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,1,3,5,2,4] => [1,3,5,2,4,6] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[6,1,3,5,4,2] => [1,3,5,2,4,6] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[6,1,4,2,3,5] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,1,4,2,5,3] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[6,1,4,3,2,5] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[6,1,4,3,5,2] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,1,4,5,2,3] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[6,1,4,5,3,2] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[6,1,5,2,3,4] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,1,5,2,4,3] => [1,5,2,4,3,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[6,1,5,3,2,4] => [1,5,2,4,3,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[6,1,5,3,4,2] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,1,5,4,2,3] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,1,5,4,3,2] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,2,1,3,4,5] => [1,3,4,5,2,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,2,1,3,5,4] => [1,3,5,2,4,6] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[6,2,1,4,3,5] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,2,1,4,5,3] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[6,2,1,5,3,4] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,2,1,5,4,3] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,2,3,1,4,5] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[6,2,3,1,5,4] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,2,3,4,1,5] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,2,3,5,1,4] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,2,3,5,4,1] => [1,2,3,5,4,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[6,2,4,1,3,5] => [1,3,5,2,4,6] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[6,2,4,1,5,3] => [1,5,2,4,3,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[6,2,4,3,1,5] => [1,5,2,4,3,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[6,2,4,3,5,1] => [1,2,4,3,5,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[6,2,4,5,1,3] => [1,3,2,4,5,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[6,2,4,5,3,1] => [1,2,4,5,3,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,2,5,1,3,4] => [1,3,4,2,5,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,2,5,1,4,3] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[6,2,5,3,1,4] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[6,2,5,3,4,1] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,2,5,4,1,3] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6) => ([(0,1)],2) => 0
[6,2,5,4,3,1] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,3,1,2,4,5] => [1,2,4,5,3,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,3,1,2,5,4] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,3,1,4,2,5] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[6,3,1,4,5,2] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[6,3,1,5,2,4] => [1,5,2,4,3,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[6,3,1,5,4,2] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,3,2,1,4,5] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) => 0
[6,3,2,1,5,4] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,3,2,4,1,5] => [1,5,2,4,3,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 1
[6,3,2,4,5,1] => [1,2,4,5,3,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,3,2,5,1,4] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[6,3,2,5,4,1] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,3,4,1,2,5] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,3,4,1,5,2] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,3,4,2,1,5] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,3,4,2,5,1] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,3,5,1,2,4] => [1,2,4,3,5,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[6,3,5,1,4,2] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,3,5,2,1,4] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,3,5,2,4,1] => [1,2,4,3,5,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[6,3,5,4,1,2] => [1,2,3,5,4,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[6,3,5,4,2,1] => [1,2,3,5,4,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[6,4,1,2,3,5] => [1,2,3,5,4,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[6,4,1,2,5,3] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,4,1,3,2,5] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6) => ([(0,1)],2) => 0
[6,4,1,3,5,2] => [1,3,5,2,4,6] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[6,4,1,5,2,3] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,4,1,5,3,2] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,4,2,1,3,5] => [1,3,5,2,4,6] => ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) => 0
[6,4,2,1,5,3] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,4,2,3,1,5] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,4,2,3,5,1] => [1,2,3,5,4,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[6,4,2,5,1,3] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6) => ([(0,1)],2) => 0
[6,4,2,5,3,1] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,4,3,1,2,5] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,4,3,1,5,2] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,4,3,2,1,5] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,4,3,2,5,1] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,4,3,5,1,2] => [1,2,3,5,4,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[6,4,3,5,2,1] => [1,2,3,5,4,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[6,4,5,1,3,2] => [1,3,2,4,5,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[6,4,5,2,1,3] => [1,3,2,4,5,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[6,5,1,2,4,3] => [1,2,4,3,5,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[6,5,1,3,2,4] => [1,3,2,4,5,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[6,5,1,3,4,2] => [1,3,4,2,5,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,5,1,4,2,3] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,5,1,4,3,2] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,5,2,1,3,4] => [1,3,4,2,5,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,5,2,1,4,3] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,5,2,3,1,4] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,5,2,4,1,3] => [1,3,2,4,5,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[6,5,2,4,3,1] => [1,2,4,3,5,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[6,5,3,1,2,4] => [1,2,4,3,5,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[6,5,3,1,4,2] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,5,3,2,1,4] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[6,5,3,2,4,1] => [1,2,4,3,5,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[6,5,4,1,3,2] => [1,3,2,4,5,6] => ([(4,5)],6) => ([(0,1)],2) => 0
[6,5,4,2,1,3] => [1,3,2,4,5,6] => ([(4,5)],6) => ([(0,1)],2) => 0
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searching the database for the individual values of this statistic
Description
The number of Hamiltonian cycles in a graph.
A Hamiltonian cycle in a graph $G$ is a subgraph (this is, a subset of the edges) that is a cycle which contains every vertex of $G$.
Since it is unclear whether the graph on one vertex is Hamiltonian, the statistic is undefined for this graph.
A Hamiltonian cycle in a graph $G$ is a subgraph (this is, a subset of the edges) that is a cycle which contains every vertex of $G$.
Since it is unclear whether the graph on one vertex is Hamiltonian, the statistic is undefined for this graph.
Map
core
Description
The core of a graph.
The core of a graph $G$ is the smallest graph $C$ such that there is a homomorphism from $G$ to $C$ and a homomorphism from $C$ to $G$.
Note that the core of a graph is not necessarily connected, see [2].
The core of a graph $G$ is the smallest graph $C$ such that there is a homomorphism from $G$ to $C$ and a homomorphism from $C$ to $G$.
Note that the core of a graph is not necessarily connected, see [2].
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
runsort
Description
The permutation obtained by sorting the increasing runs lexicographically.
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