Identifier
-
Mp00238:
Permutations
—Clarke-Steingrimsson-Zeng⟶
Permutations
Mp00065: Permutations —permutation poset⟶ Posets
St001397: Posets ⟶ ℤ
Values
[1] => [1] => ([],1) => 0
[1,2] => [1,2] => ([(0,1)],2) => 0
[2,1] => [2,1] => ([],2) => 1
[1,2,3] => [1,2,3] => ([(0,2),(2,1)],3) => 0
[1,3,2] => [1,3,2] => ([(0,1),(0,2)],3) => 1
[2,1,3] => [2,1,3] => ([(0,2),(1,2)],3) => 1
[2,3,1] => [3,2,1] => ([],3) => 3
[3,1,2] => [3,1,2] => ([(1,2)],3) => 2
[3,2,1] => [2,3,1] => ([(1,2)],3) => 2
[1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 0
[1,2,4,3] => [1,2,4,3] => ([(0,3),(3,1),(3,2)],4) => 1
[1,3,2,4] => [1,3,2,4] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
[1,3,4,2] => [1,4,3,2] => ([(0,1),(0,2),(0,3)],4) => 3
[1,4,2,3] => [1,4,2,3] => ([(0,2),(0,3),(3,1)],4) => 2
[1,4,3,2] => [1,3,4,2] => ([(0,2),(0,3),(3,1)],4) => 2
[2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4) => 1
[2,1,4,3] => [2,1,4,3] => ([(0,2),(0,3),(1,2),(1,3)],4) => 2
[2,3,1,4] => [3,2,1,4] => ([(0,3),(1,3),(2,3)],4) => 3
[2,3,4,1] => [4,2,3,1] => ([(2,3)],4) => 5
[2,4,1,3] => [4,2,1,3] => ([(1,3),(2,3)],4) => 4
[2,4,3,1] => [3,2,4,1] => ([(1,3),(2,3)],4) => 4
[3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4) => 2
[3,1,4,2] => [4,3,1,2] => ([(2,3)],4) => 5
[3,2,1,4] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4) => 2
[3,2,4,1] => [4,3,2,1] => ([],4) => 6
[3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4) => 4
[3,4,2,1] => [2,4,3,1] => ([(1,2),(1,3)],4) => 4
[4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4) => 3
[4,1,3,2] => [3,4,1,2] => ([(0,3),(1,2)],4) => 4
[4,2,1,3] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4) => 3
[4,2,3,1] => [3,4,2,1] => ([(2,3)],4) => 5
[4,3,1,2] => [3,1,4,2] => ([(0,3),(1,2),(1,3)],4) => 3
[4,3,2,1] => [2,3,4,1] => ([(1,2),(2,3)],4) => 3
[1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[1,2,3,5,4] => [1,2,3,5,4] => ([(0,3),(3,4),(4,1),(4,2)],5) => 1
[1,2,4,3,5] => [1,2,4,3,5] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
[1,2,4,5,3] => [1,2,5,4,3] => ([(0,4),(4,1),(4,2),(4,3)],5) => 3
[1,2,5,3,4] => [1,2,5,3,4] => ([(0,4),(3,2),(4,1),(4,3)],5) => 2
[1,2,5,4,3] => [1,2,4,5,3] => ([(0,4),(3,2),(4,1),(4,3)],5) => 2
[1,3,2,4,5] => [1,3,2,4,5] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
[1,3,2,5,4] => [1,3,2,5,4] => ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => 2
[1,3,4,2,5] => [1,4,3,2,5] => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => 3
[1,3,4,5,2] => [1,5,3,4,2] => ([(0,2),(0,3),(0,4),(4,1)],5) => 5
[1,3,5,2,4] => [1,5,3,2,4] => ([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => 4
[1,3,5,4,2] => [1,4,3,5,2] => ([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => 4
[1,4,2,3,5] => [1,4,2,3,5] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
[1,4,2,5,3] => [1,5,4,2,3] => ([(0,2),(0,3),(0,4),(4,1)],5) => 5
[1,4,3,2,5] => [1,3,4,2,5] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
[1,4,3,5,2] => [1,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4)],5) => 6
[1,4,5,2,3] => [1,5,2,4,3] => ([(0,3),(0,4),(4,1),(4,2)],5) => 4
[1,4,5,3,2] => [1,3,5,4,2] => ([(0,3),(0,4),(4,1),(4,2)],5) => 4
[1,5,2,3,4] => [1,5,2,3,4] => ([(0,2),(0,4),(3,1),(4,3)],5) => 3
[1,5,2,4,3] => [1,4,5,2,3] => ([(0,3),(0,4),(3,2),(4,1)],5) => 4
[1,5,3,2,4] => [1,3,5,2,4] => ([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 3
[1,5,3,4,2] => [1,4,5,3,2] => ([(0,2),(0,3),(0,4),(4,1)],5) => 5
[1,5,4,2,3] => [1,4,2,5,3] => ([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 3
[1,5,4,3,2] => [1,3,4,5,2] => ([(0,2),(0,4),(3,1),(4,3)],5) => 3
[2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5) => 1
[2,1,3,5,4] => [2,1,3,5,4] => ([(0,4),(1,4),(4,2),(4,3)],5) => 2
[2,1,4,3,5] => [2,1,4,3,5] => ([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => 2
[2,1,4,5,3] => [2,1,5,4,3] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 4
[2,1,5,3,4] => [2,1,5,3,4] => ([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => 3
[2,1,5,4,3] => [2,1,4,5,3] => ([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => 3
[2,3,1,4,5] => [3,2,1,4,5] => ([(0,4),(1,4),(2,4),(4,3)],5) => 3
[2,3,1,5,4] => [3,2,1,5,4] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 4
[2,3,4,1,5] => [4,2,3,1,5] => ([(0,4),(1,4),(2,3),(3,4)],5) => 5
[2,3,4,5,1] => [5,2,3,4,1] => ([(2,3),(3,4)],5) => 7
[2,3,5,1,4] => [5,2,3,1,4] => ([(1,4),(2,3),(3,4)],5) => 6
[2,3,5,4,1] => [4,2,3,5,1] => ([(1,4),(2,3),(3,4)],5) => 6
[2,4,1,3,5] => [4,2,1,3,5] => ([(0,4),(1,3),(2,3),(3,4)],5) => 4
[2,4,1,5,3] => [5,2,4,1,3] => ([(1,4),(2,3),(2,4)],5) => 7
[2,4,3,1,5] => [3,2,4,1,5] => ([(0,4),(1,3),(2,3),(3,4)],5) => 4
[2,4,3,5,1] => [5,2,4,3,1] => ([(2,3),(2,4)],5) => 8
[2,4,5,1,3] => [5,2,1,4,3] => ([(1,3),(1,4),(2,3),(2,4)],5) => 6
[2,4,5,3,1] => [3,2,5,4,1] => ([(1,3),(1,4),(2,3),(2,4)],5) => 6
[2,5,1,3,4] => [5,2,1,3,4] => ([(1,4),(2,4),(4,3)],5) => 5
[2,5,1,4,3] => [4,2,5,1,3] => ([(0,4),(1,3),(2,3),(2,4)],5) => 6
[2,5,3,1,4] => [3,2,5,1,4] => ([(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 5
[2,5,3,4,1] => [4,2,5,3,1] => ([(1,4),(2,3),(2,4)],5) => 7
[2,5,4,1,3] => [4,2,1,5,3] => ([(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 5
[2,5,4,3,1] => [3,2,4,5,1] => ([(1,4),(2,4),(4,3)],5) => 5
[3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5) => 2
[3,1,2,5,4] => [3,1,2,5,4] => ([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => 3
[3,1,4,2,5] => [4,3,1,2,5] => ([(0,4),(1,4),(2,3),(3,4)],5) => 5
[3,1,4,5,2] => [5,3,1,4,2] => ([(1,4),(2,3),(2,4)],5) => 7
[3,1,5,2,4] => [5,3,1,2,4] => ([(1,4),(2,3),(3,4)],5) => 6
[3,1,5,4,2] => [4,3,1,5,2] => ([(0,4),(1,4),(2,3),(2,4)],5) => 6
[3,2,1,4,5] => [2,3,1,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5) => 2
[3,2,1,5,4] => [2,3,1,5,4] => ([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => 3
[3,2,4,1,5] => [4,3,2,1,5] => ([(0,4),(1,4),(2,4),(3,4)],5) => 6
[3,2,4,5,1] => [5,3,2,4,1] => ([(2,4),(3,4)],5) => 8
[3,2,5,1,4] => [5,3,2,1,4] => ([(1,4),(2,4),(3,4)],5) => 7
[3,2,5,4,1] => [4,3,2,5,1] => ([(1,4),(2,4),(3,4)],5) => 7
[3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => 4
[3,4,1,5,2] => [5,4,3,1,2] => ([(3,4)],5) => 9
[3,4,2,1,5] => [2,4,3,1,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => 4
[3,4,2,5,1] => [5,4,3,2,1] => ([],5) => 10
[3,4,5,1,2] => [5,1,3,4,2] => ([(1,3),(1,4),(4,2)],5) => 6
[3,4,5,2,1] => [2,5,3,4,1] => ([(1,3),(1,4),(4,2)],5) => 6
[3,5,1,2,4] => [5,1,3,2,4] => ([(1,2),(1,3),(2,4),(3,4)],5) => 5
[3,5,1,4,2] => [4,5,3,1,2] => ([(1,4),(2,3)],5) => 8
>>> Load all 2956 entries. <<<[3,5,2,1,4] => [2,5,3,1,4] => ([(0,4),(1,2),(1,3),(3,4)],5) => 5
[3,5,2,4,1] => [4,5,3,2,1] => ([(3,4)],5) => 9
[3,5,4,1,2] => [4,1,3,5,2] => ([(0,4),(1,2),(1,3),(3,4)],5) => 5
[3,5,4,2,1] => [2,4,3,5,1] => ([(1,2),(1,3),(2,4),(3,4)],5) => 5
[4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5) => 3
[4,1,2,5,3] => [5,1,4,2,3] => ([(1,3),(1,4),(4,2)],5) => 6
[4,1,3,2,5] => [3,4,1,2,5] => ([(0,3),(1,2),(2,4),(3,4)],5) => 4
[4,1,3,5,2] => [5,4,1,3,2] => ([(2,3),(2,4)],5) => 8
[4,1,5,2,3] => [5,4,1,2,3] => ([(2,3),(3,4)],5) => 7
[4,1,5,3,2] => [3,5,4,1,2] => ([(0,4),(1,2),(1,3)],5) => 7
[4,2,1,3,5] => [2,4,1,3,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => 3
[4,2,1,5,3] => [2,5,4,1,3] => ([(0,4),(1,2),(1,3),(1,4)],5) => 6
[4,2,3,1,5] => [3,4,2,1,5] => ([(0,4),(1,4),(2,3),(3,4)],5) => 5
[4,2,3,5,1] => [5,4,2,3,1] => ([(3,4)],5) => 9
[4,2,5,1,3] => [5,4,2,1,3] => ([(2,4),(3,4)],5) => 8
[4,2,5,3,1] => [3,5,4,2,1] => ([(2,3),(2,4)],5) => 8
[4,3,1,2,5] => [3,1,4,2,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => 3
[4,3,1,5,2] => [5,3,4,1,2] => ([(1,4),(2,3)],5) => 8
[4,3,2,1,5] => [2,3,4,1,5] => ([(0,4),(1,2),(2,3),(3,4)],5) => 3
[4,3,2,5,1] => [5,3,4,2,1] => ([(3,4)],5) => 9
[4,3,5,1,2] => [5,1,4,3,2] => ([(1,2),(1,3),(1,4)],5) => 7
[4,3,5,2,1] => [2,5,4,3,1] => ([(1,2),(1,3),(1,4)],5) => 7
[4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5) => 5
[4,5,1,3,2] => [3,5,1,4,2] => ([(0,3),(0,4),(1,2),(1,4)],5) => 6
[4,5,2,1,3] => [2,5,1,4,3] => ([(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 5
[4,5,2,3,1] => [3,5,2,4,1] => ([(1,4),(2,3),(2,4)],5) => 7
[4,5,3,1,2] => [3,1,5,4,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 5
[4,5,3,2,1] => [2,3,5,4,1] => ([(1,4),(4,2),(4,3)],5) => 5
[5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5) => 4
[5,1,2,4,3] => [4,1,5,2,3] => ([(0,4),(1,2),(1,4),(2,3)],5) => 5
[5,1,3,2,4] => [3,5,1,2,4] => ([(0,3),(1,2),(1,4),(3,4)],5) => 5
[5,1,3,4,2] => [4,5,1,3,2] => ([(0,4),(1,2),(1,3)],5) => 7
[5,1,4,2,3] => [4,5,1,2,3] => ([(0,3),(1,4),(4,2)],5) => 6
[5,1,4,3,2] => [3,4,5,1,2] => ([(0,3),(1,4),(4,2)],5) => 6
[5,2,1,3,4] => [2,5,1,3,4] => ([(0,4),(1,2),(1,4),(4,3)],5) => 4
[5,2,1,4,3] => [2,4,5,1,3] => ([(0,4),(1,2),(1,4),(2,3)],5) => 5
[5,2,3,1,4] => [3,5,2,1,4] => ([(0,4),(1,4),(2,3),(2,4)],5) => 6
[5,2,3,4,1] => [4,5,2,3,1] => ([(1,4),(2,3)],5) => 8
[5,2,4,1,3] => [4,5,2,1,3] => ([(0,4),(1,4),(2,3)],5) => 7
[5,2,4,3,1] => [3,4,5,2,1] => ([(2,3),(3,4)],5) => 7
[5,3,1,2,4] => [3,1,5,2,4] => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5) => 4
[5,3,1,4,2] => [4,3,5,1,2] => ([(0,4),(1,4),(2,3)],5) => 7
[5,3,2,1,4] => [2,3,5,1,4] => ([(0,4),(1,2),(2,3),(2,4)],5) => 4
[5,3,2,4,1] => [4,3,5,2,1] => ([(2,4),(3,4)],5) => 8
[5,3,4,1,2] => [4,1,5,3,2] => ([(0,4),(1,2),(1,3),(1,4)],5) => 6
[5,3,4,2,1] => [2,4,5,3,1] => ([(1,3),(1,4),(4,2)],5) => 6
[5,4,1,2,3] => [4,1,2,5,3] => ([(0,4),(1,2),(2,3),(2,4)],5) => 4
[5,4,1,3,2] => [3,4,1,5,2] => ([(0,3),(1,2),(1,4),(3,4)],5) => 5
[5,4,2,1,3] => [2,4,1,5,3] => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5) => 4
[5,4,2,3,1] => [3,4,2,5,1] => ([(1,4),(2,3),(3,4)],5) => 6
[5,4,3,1,2] => [3,1,4,5,2] => ([(0,4),(1,2),(1,4),(4,3)],5) => 4
[5,4,3,2,1] => [2,3,4,5,1] => ([(1,4),(3,2),(4,3)],5) => 4
[1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,2,3,4,6,5] => [1,2,3,4,6,5] => ([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 1
[1,2,3,5,4,6] => [1,2,3,5,4,6] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
[1,2,3,5,6,4] => [1,2,3,6,5,4] => ([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => 3
[1,2,3,6,4,5] => [1,2,3,6,4,5] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 2
[1,2,3,6,5,4] => [1,2,3,5,6,4] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 2
[1,2,4,3,5,6] => [1,2,4,3,5,6] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 1
[1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 2
[1,2,4,5,3,6] => [1,2,5,4,3,6] => ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 3
[1,2,4,5,6,3] => [1,2,6,4,5,3] => ([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 5
[1,2,4,6,3,5] => [1,2,6,4,3,5] => ([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 4
[1,2,4,6,5,3] => [1,2,5,4,6,3] => ([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 4
[1,2,5,3,4,6] => [1,2,5,3,4,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
[1,2,5,3,6,4] => [1,2,6,5,3,4] => ([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 5
[1,2,5,4,3,6] => [1,2,4,5,3,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
[1,2,5,4,6,3] => [1,2,6,5,4,3] => ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 6
[1,2,5,6,3,4] => [1,2,6,3,5,4] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 4
[1,2,5,6,4,3] => [1,2,4,6,5,3] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 4
[1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 3
[1,2,6,3,5,4] => [1,2,5,6,3,4] => ([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => 4
[1,2,6,4,3,5] => [1,2,4,6,3,5] => ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 3
[1,2,6,4,5,3] => [1,2,5,6,4,3] => ([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 5
[1,2,6,5,3,4] => [1,2,5,3,6,4] => ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 3
[1,2,6,5,4,3] => [1,2,4,5,6,3] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 3
[1,3,2,4,5,6] => [1,3,2,4,5,6] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
[1,3,2,4,6,5] => [1,3,2,4,6,5] => ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => 2
[1,3,2,5,4,6] => [1,3,2,5,4,6] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 2
[1,3,2,5,6,4] => [1,3,2,6,5,4] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4
[1,3,2,6,4,5] => [1,3,2,6,4,5] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 3
[1,3,2,6,5,4] => [1,3,2,5,6,4] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 3
[1,3,4,2,5,6] => [1,4,3,2,5,6] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => 3
[1,3,4,2,6,5] => [1,4,3,2,6,5] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[1,3,4,5,2,6] => [1,5,3,4,2,6] => ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => 5
[1,3,4,5,6,2] => [1,6,3,4,5,2] => ([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => 7
[1,3,4,6,2,5] => [1,6,3,4,2,5] => ([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) => 6
[1,3,4,6,5,2] => [1,5,3,4,6,2] => ([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) => 6
[1,3,5,2,4,6] => [1,5,3,2,4,6] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => 4
[1,3,5,2,6,4] => [1,6,3,5,2,4] => ([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6) => 7
[1,3,5,4,2,6] => [1,4,3,5,2,6] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => 4
[1,3,5,4,6,2] => [1,6,3,5,4,2] => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 8
[1,3,5,6,2,4] => [1,6,3,2,5,4] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 6
[1,3,5,6,4,2] => [1,4,3,6,5,2] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 6
[1,3,6,2,4,5] => [1,6,3,2,4,5] => ([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) => 5
[1,3,6,2,5,4] => [1,5,3,6,2,4] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6) => 6
[1,3,6,4,2,5] => [1,4,3,6,2,5] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 5
[1,3,6,4,5,2] => [1,5,3,6,4,2] => ([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6) => 7
[1,3,6,5,2,4] => [1,5,3,2,6,4] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 5
[1,3,6,5,4,2] => [1,4,3,5,6,2] => ([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) => 5
[1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
[1,4,2,3,6,5] => [1,4,2,3,6,5] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 3
[1,4,2,5,3,6] => [1,5,4,2,3,6] => ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => 5
[1,4,2,5,6,3] => [1,6,4,2,5,3] => ([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6) => 7
[1,4,2,6,3,5] => [1,6,4,2,3,5] => ([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) => 6
[1,4,2,6,5,3] => [1,5,4,2,6,3] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6) => 6
[1,4,3,2,5,6] => [1,3,4,2,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
[1,4,3,2,6,5] => [1,3,4,2,6,5] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 3
[1,4,3,5,2,6] => [1,5,4,3,2,6] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 6
[1,4,3,5,6,2] => [1,6,4,3,5,2] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 8
[1,4,3,6,2,5] => [1,6,4,3,2,5] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => 7
[1,4,3,6,5,2] => [1,5,4,3,6,2] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => 7
[1,4,5,2,3,6] => [1,5,2,4,3,6] => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 4
[1,4,5,2,6,3] => [1,6,5,4,2,3] => ([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => 9
[1,4,5,3,2,6] => [1,3,5,4,2,6] => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 4
[1,4,5,3,6,2] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 10
[1,4,5,6,2,3] => [1,6,2,4,5,3] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 6
[1,4,5,6,3,2] => [1,3,6,4,5,2] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 6
[1,4,6,2,3,5] => [1,6,2,4,3,5] => ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 5
[1,4,6,2,5,3] => [1,5,6,4,2,3] => ([(0,3),(0,4),(0,5),(4,2),(5,1)],6) => 8
[1,4,6,3,2,5] => [1,3,6,4,2,5] => ([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) => 5
[1,4,6,3,5,2] => [1,5,6,4,3,2] => ([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => 9
[1,4,6,5,2,3] => [1,5,2,4,6,3] => ([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) => 5
[1,4,6,5,3,2] => [1,3,5,4,6,2] => ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 5
[1,5,2,3,4,6] => [1,5,2,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 3
[1,5,2,3,6,4] => [1,6,2,5,3,4] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 6
[1,5,2,4,3,6] => [1,4,5,2,3,6] => ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => 4
[1,5,2,4,6,3] => [1,6,5,2,4,3] => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 8
[1,5,2,6,3,4] => [1,6,5,2,3,4] => ([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => 7
[1,5,2,6,4,3] => [1,4,6,5,2,3] => ([(0,4),(0,5),(4,3),(5,1),(5,2)],6) => 7
[1,5,3,2,4,6] => [1,3,5,2,4,6] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 3
[1,5,3,2,6,4] => [1,3,6,5,2,4] => ([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6) => 6
[1,5,3,4,2,6] => [1,4,5,3,2,6] => ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => 5
[1,5,3,4,6,2] => [1,6,5,3,4,2] => ([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => 9
[1,5,3,6,2,4] => [1,6,5,3,2,4] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 8
[1,5,3,6,4,2] => [1,4,6,5,3,2] => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 8
[1,5,4,2,3,6] => [1,4,2,5,3,6] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 3
[1,5,4,2,6,3] => [1,6,4,5,2,3] => ([(0,3),(0,4),(0,5),(4,2),(5,1)],6) => 8
[1,5,4,3,2,6] => [1,3,4,5,2,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 3
[1,5,4,3,6,2] => [1,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => 9
[1,5,4,6,2,3] => [1,6,2,5,4,3] => ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 7
[1,5,4,6,3,2] => [1,3,6,5,4,2] => ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 7
[1,5,6,2,3,4] => [1,6,2,3,5,4] => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 5
[1,5,6,2,4,3] => [1,4,6,2,5,3] => ([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6) => 6
[1,5,6,3,2,4] => [1,3,6,2,5,4] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6) => 5
[1,5,6,3,4,2] => [1,4,6,3,5,2] => ([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6) => 7
[1,5,6,4,2,3] => [1,4,2,6,5,3] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6) => 5
[1,5,6,4,3,2] => [1,3,4,6,5,2] => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 5
[1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 4
[1,6,2,3,5,4] => [1,5,2,6,3,4] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 5
[1,6,2,4,3,5] => [1,4,6,2,3,5] => ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 5
[1,6,2,4,5,3] => [1,5,6,2,4,3] => ([(0,4),(0,5),(4,3),(5,1),(5,2)],6) => 7
[1,6,2,5,3,4] => [1,5,6,2,3,4] => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 6
[1,6,2,5,4,3] => [1,4,5,6,2,3] => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 6
[1,6,3,2,4,5] => [1,3,6,2,4,5] => ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => 4
[1,6,3,2,5,4] => [1,3,5,6,2,4] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 5
[1,6,3,4,2,5] => [1,4,6,3,2,5] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6) => 6
[1,6,3,4,5,2] => [1,5,6,3,4,2] => ([(0,3),(0,4),(0,5),(4,2),(5,1)],6) => 8
[1,6,3,5,2,4] => [1,5,6,3,2,4] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6) => 7
[1,6,3,5,4,2] => [1,4,5,6,3,2] => ([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => 7
[1,6,4,2,3,5] => [1,4,2,6,3,5] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 4
[1,6,4,2,5,3] => [1,5,4,6,2,3] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6) => 7
[1,6,4,3,2,5] => [1,3,4,6,2,5] => ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 4
[1,6,4,3,5,2] => [1,5,4,6,3,2] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 8
[1,6,4,5,2,3] => [1,5,2,6,4,3] => ([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6) => 6
[1,6,4,5,3,2] => [1,3,5,6,4,2] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 6
[1,6,5,2,3,4] => [1,5,2,3,6,4] => ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 4
[1,6,5,2,4,3] => [1,4,5,2,6,3] => ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 5
[1,6,5,3,2,4] => [1,3,5,2,6,4] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 4
[1,6,5,3,4,2] => [1,4,5,3,6,2] => ([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) => 6
[1,6,5,4,2,3] => [1,4,2,5,6,3] => ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => 4
[1,6,5,4,3,2] => [1,3,4,5,6,2] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 4
[2,1,3,4,5,6] => [2,1,3,4,5,6] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 1
[2,1,3,4,6,5] => [2,1,3,4,6,5] => ([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => 2
[2,1,3,5,4,6] => [2,1,3,5,4,6] => ([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 2
[2,1,3,5,6,4] => [2,1,3,6,5,4] => ([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => 4
[2,1,3,6,4,5] => [2,1,3,6,4,5] => ([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => 3
[2,1,3,6,5,4] => [2,1,3,5,6,4] => ([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => 3
[2,1,4,3,5,6] => [2,1,4,3,5,6] => ([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) => 2
[2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => 3
[2,1,4,5,3,6] => [2,1,5,4,3,6] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 4
[2,1,4,5,6,3] => [2,1,6,4,5,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 6
[2,1,4,6,3,5] => [2,1,6,4,3,5] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => 5
[2,1,4,6,5,3] => [2,1,5,4,6,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => 5
[2,1,5,3,4,6] => [2,1,5,3,4,6] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => 3
[2,1,5,3,6,4] => [2,1,6,5,3,4] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 6
[2,1,5,4,3,6] => [2,1,4,5,3,6] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => 3
[2,1,5,4,6,3] => [2,1,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 7
[2,1,5,6,3,4] => [2,1,6,3,5,4] => ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 5
[2,1,5,6,4,3] => [2,1,4,6,5,3] => ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 5
[2,1,6,3,4,5] => [2,1,6,3,4,5] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => 4
[2,1,6,3,5,4] => [2,1,5,6,3,4] => ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6) => 5
[2,1,6,4,3,5] => [2,1,4,6,3,5] => ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6) => 4
[2,1,6,4,5,3] => [2,1,5,6,4,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 6
[2,1,6,5,3,4] => [2,1,5,3,6,4] => ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6) => 4
[2,1,6,5,4,3] => [2,1,4,5,6,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => 4
[2,3,1,4,5,6] => [3,2,1,4,5,6] => ([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => 3
[2,3,1,4,6,5] => [3,2,1,4,6,5] => ([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => 4
[2,3,1,5,4,6] => [3,2,1,5,4,6] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 4
[2,3,1,5,6,4] => [3,2,1,6,5,4] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 6
[2,3,1,6,4,5] => [3,2,1,6,4,5] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 5
[2,3,1,6,5,4] => [3,2,1,5,6,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 5
[2,3,4,1,5,6] => [4,2,3,1,5,6] => ([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 5
[2,3,4,1,6,5] => [4,2,3,1,6,5] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 6
[2,3,4,5,1,6] => [5,2,3,4,1,6] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 7
[2,3,4,5,6,1] => [6,2,3,4,5,1] => ([(2,3),(3,5),(5,4)],6) => 9
[2,3,4,6,1,5] => [6,2,3,4,1,5] => ([(1,5),(2,3),(3,4),(4,5)],6) => 8
[2,3,4,6,5,1] => [5,2,3,4,6,1] => ([(1,5),(2,3),(3,4),(4,5)],6) => 8
[2,3,5,1,4,6] => [5,2,3,1,4,6] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 6
[2,3,5,1,6,4] => [6,2,3,5,1,4] => ([(1,5),(2,3),(3,4),(3,5)],6) => 9
[2,3,5,4,1,6] => [4,2,3,5,1,6] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 6
[2,3,5,4,6,1] => [6,2,3,5,4,1] => ([(2,3),(3,4),(3,5)],6) => 10
[2,3,5,6,1,4] => [6,2,3,1,5,4] => ([(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 8
[2,3,5,6,4,1] => [4,2,3,6,5,1] => ([(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 8
[2,3,6,1,4,5] => [6,2,3,1,4,5] => ([(1,5),(2,3),(3,5),(5,4)],6) => 7
[2,3,6,1,5,4] => [5,2,3,6,1,4] => ([(0,5),(1,4),(2,3),(3,4),(3,5)],6) => 8
[2,3,6,4,1,5] => [4,2,3,6,1,5] => ([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 7
[2,3,6,4,5,1] => [5,2,3,6,4,1] => ([(1,5),(2,3),(3,4),(3,5)],6) => 9
[2,3,6,5,1,4] => [5,2,3,1,6,4] => ([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 7
[2,3,6,5,4,1] => [4,2,3,5,6,1] => ([(1,5),(2,3),(3,5),(5,4)],6) => 7
[2,4,1,3,5,6] => [4,2,1,3,5,6] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 4
[2,4,1,3,6,5] => [4,2,1,3,6,5] => ([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 5
[2,4,1,5,3,6] => [5,2,4,1,3,6] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 7
[2,4,1,5,6,3] => [6,2,4,1,5,3] => ([(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 9
[2,4,1,6,3,5] => [6,2,4,1,3,5] => ([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 8
[2,4,1,6,5,3] => [5,2,4,1,6,3] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 8
[2,4,3,1,5,6] => [3,2,4,1,5,6] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 4
[2,4,3,1,6,5] => [3,2,4,1,6,5] => ([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 5
[2,4,3,5,1,6] => [5,2,4,3,1,6] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 8
[2,4,3,5,6,1] => [6,2,4,3,5,1] => ([(2,3),(2,4),(3,5),(4,5)],6) => 10
[2,4,3,6,1,5] => [6,2,4,3,1,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 9
[2,4,3,6,5,1] => [5,2,4,3,6,1] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 9
[2,4,5,1,3,6] => [5,2,1,4,3,6] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 6
[2,4,5,1,6,3] => [6,2,5,4,1,3] => ([(1,5),(2,3),(2,4),(2,5)],6) => 11
[2,4,5,3,1,6] => [3,2,5,4,1,6] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 6
[2,4,5,3,6,1] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 12
[2,4,5,6,1,3] => [6,2,1,4,5,3] => ([(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 8
[2,4,5,6,3,1] => [3,2,6,4,5,1] => ([(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 8
[2,4,6,1,3,5] => [6,2,1,4,3,5] => ([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 7
[2,4,6,1,5,3] => [5,2,6,4,1,3] => ([(0,5),(1,4),(2,3),(2,4),(2,5)],6) => 10
[2,4,6,3,1,5] => [3,2,6,4,1,5] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6) => 7
[2,4,6,3,5,1] => [5,2,6,4,3,1] => ([(1,5),(2,3),(2,4),(2,5)],6) => 11
[2,4,6,5,1,3] => [5,2,1,4,6,3] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6) => 7
[2,4,6,5,3,1] => [3,2,5,4,6,1] => ([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 7
[2,5,1,3,4,6] => [5,2,1,3,4,6] => ([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 5
[2,5,1,3,6,4] => [6,2,1,5,3,4] => ([(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 8
[2,5,1,4,3,6] => [4,2,5,1,3,6] => ([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6) => 6
[2,5,1,4,6,3] => [6,2,5,1,4,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 10
[2,5,1,6,3,4] => [6,2,5,1,3,4] => ([(1,5),(2,3),(2,5),(5,4)],6) => 9
[2,5,1,6,4,3] => [4,2,6,5,1,3] => ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 9
[2,5,3,1,4,6] => [3,2,5,1,4,6] => ([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 5
[2,5,3,1,6,4] => [3,2,6,5,1,4] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 8
[2,5,3,4,1,6] => [4,2,5,3,1,6] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 7
[2,5,3,4,6,1] => [6,2,5,3,4,1] => ([(2,3),(2,4),(4,5)],6) => 11
[2,5,3,6,1,4] => [6,2,5,3,1,4] => ([(1,5),(2,3),(2,4),(4,5)],6) => 10
[2,5,3,6,4,1] => [4,2,6,5,3,1] => ([(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 10
[2,5,4,1,3,6] => [4,2,1,5,3,6] => ([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 5
[2,5,4,1,6,3] => [6,2,4,5,1,3] => ([(1,5),(2,3),(2,5),(3,4)],6) => 10
[2,5,4,3,1,6] => [3,2,4,5,1,6] => ([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 5
[2,5,4,3,6,1] => [6,2,4,5,3,1] => ([(2,3),(2,4),(4,5)],6) => 11
[2,5,4,6,1,3] => [6,2,1,5,4,3] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 9
[2,5,4,6,3,1] => [3,2,6,5,4,1] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 9
[2,5,6,1,3,4] => [6,2,1,3,5,4] => ([(1,5),(2,5),(5,3),(5,4)],6) => 7
[2,5,6,1,4,3] => [4,2,6,1,5,3] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6) => 8
[2,5,6,3,1,4] => [3,2,6,1,5,4] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 7
[2,5,6,3,4,1] => [4,2,6,3,5,1] => ([(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 9
[2,5,6,4,1,3] => [4,2,1,6,5,3] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 7
[2,5,6,4,3,1] => [3,2,4,6,5,1] => ([(1,5),(2,5),(5,3),(5,4)],6) => 7
[2,6,1,3,4,5] => [6,2,1,3,4,5] => ([(1,5),(2,5),(3,4),(5,3)],6) => 6
[2,6,1,3,5,4] => [5,2,1,6,3,4] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6) => 7
[2,6,1,4,3,5] => [4,2,6,1,3,5] => ([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6) => 7
[2,6,1,4,5,3] => [5,2,6,1,4,3] => ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 9
[2,6,1,5,3,4] => [5,2,6,1,3,4] => ([(0,5),(1,4),(2,4),(2,5),(5,3)],6) => 8
[2,6,1,5,4,3] => [4,2,5,6,1,3] => ([(0,5),(1,4),(2,4),(2,5),(5,3)],6) => 8
[2,6,3,1,4,5] => [3,2,6,1,4,5] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 6
[2,6,3,1,5,4] => [3,2,5,6,1,4] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6) => 7
[2,6,3,4,1,5] => [4,2,6,3,1,5] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 8
[2,6,3,4,5,1] => [5,2,6,3,4,1] => ([(1,5),(2,3),(2,5),(3,4)],6) => 10
[2,6,3,5,1,4] => [5,2,6,3,1,4] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 9
[2,6,3,5,4,1] => [4,2,5,6,3,1] => ([(1,5),(2,3),(2,5),(5,4)],6) => 9
[2,6,4,1,3,5] => [4,2,1,6,3,5] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6) => 6
[2,6,4,1,5,3] => [5,2,4,6,1,3] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 9
[2,6,4,3,1,5] => [3,2,4,6,1,5] => ([(0,5),(1,5),(2,4),(5,3),(5,4)],6) => 6
[2,6,4,3,5,1] => [5,2,4,6,3,1] => ([(1,5),(2,3),(2,4),(4,5)],6) => 10
[2,6,4,5,1,3] => [5,2,1,6,4,3] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 8
[2,6,4,5,3,1] => [3,2,5,6,4,1] => ([(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 8
[2,6,5,1,3,4] => [5,2,1,3,6,4] => ([(0,5),(1,5),(2,4),(5,3),(5,4)],6) => 6
[2,6,5,1,4,3] => [4,2,5,1,6,3] => ([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6) => 7
[2,6,5,3,1,4] => [3,2,5,1,6,4] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6) => 6
[2,6,5,3,4,1] => [4,2,5,3,6,1] => ([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 8
[2,6,5,4,1,3] => [4,2,1,5,6,3] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 6
[2,6,5,4,3,1] => [3,2,4,5,6,1] => ([(1,5),(2,5),(3,4),(5,3)],6) => 6
[3,1,2,4,5,6] => [3,1,2,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 2
[3,1,2,4,6,5] => [3,1,2,4,6,5] => ([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => 3
[3,1,2,5,4,6] => [3,1,2,5,4,6] => ([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 3
[3,1,2,5,6,4] => [3,1,2,6,5,4] => ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 5
[3,1,2,6,4,5] => [3,1,2,6,4,5] => ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 4
[3,1,2,6,5,4] => [3,1,2,5,6,4] => ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 4
[3,1,4,2,5,6] => [4,3,1,2,5,6] => ([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 5
[3,1,4,2,6,5] => [4,3,1,2,6,5] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 6
[3,1,4,5,2,6] => [5,3,1,4,2,6] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 7
[3,1,4,5,6,2] => [6,3,1,4,5,2] => ([(1,5),(2,3),(2,5),(5,4)],6) => 9
[3,1,4,6,2,5] => [6,3,1,4,2,5] => ([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 8
[3,1,4,6,5,2] => [5,3,1,4,6,2] => ([(0,5),(1,4),(2,3),(2,4),(4,5)],6) => 8
[3,1,5,2,4,6] => [5,3,1,2,4,6] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 6
[3,1,5,2,6,4] => [6,3,1,5,2,4] => ([(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 9
[3,1,5,4,2,6] => [4,3,1,5,2,6] => ([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 6
[3,1,5,4,6,2] => [6,3,1,5,4,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 10
[3,1,5,6,2,4] => [6,3,1,2,5,4] => ([(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 8
[3,1,5,6,4,2] => [4,3,1,6,5,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 8
[3,1,6,2,4,5] => [6,3,1,2,4,5] => ([(1,5),(2,3),(3,5),(5,4)],6) => 7
[3,1,6,2,5,4] => [5,3,1,6,2,4] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => 8
[3,1,6,4,2,5] => [4,3,1,6,2,5] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 7
[3,1,6,4,5,2] => [5,3,1,6,4,2] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 9
[3,1,6,5,2,4] => [5,3,1,2,6,4] => ([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 7
[3,1,6,5,4,2] => [4,3,1,5,6,2] => ([(0,5),(1,5),(2,3),(2,5),(5,4)],6) => 7
[3,2,1,4,5,6] => [2,3,1,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 2
[3,2,1,4,6,5] => [2,3,1,4,6,5] => ([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => 3
[3,2,1,5,4,6] => [2,3,1,5,4,6] => ([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 3
[3,2,1,5,6,4] => [2,3,1,6,5,4] => ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 5
[3,2,1,6,4,5] => [2,3,1,6,4,5] => ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 4
[3,2,1,6,5,4] => [2,3,1,5,6,4] => ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 4
[3,2,4,1,5,6] => [4,3,2,1,5,6] => ([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 6
[3,2,4,1,6,5] => [4,3,2,1,6,5] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 7
[3,2,4,5,1,6] => [5,3,2,4,1,6] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 8
[3,2,4,5,6,1] => [6,3,2,4,5,1] => ([(2,5),(3,5),(5,4)],6) => 10
[3,2,4,6,1,5] => [6,3,2,4,1,5] => ([(1,5),(2,4),(3,4),(4,5)],6) => 9
[3,2,4,6,5,1] => [5,3,2,4,6,1] => ([(1,5),(2,4),(3,4),(4,5)],6) => 9
[3,2,5,1,4,6] => [5,3,2,1,4,6] => ([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => 7
[3,2,5,1,6,4] => [6,3,2,5,1,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 10
[3,2,5,4,1,6] => [4,3,2,5,1,6] => ([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => 7
[3,2,5,4,6,1] => [6,3,2,5,4,1] => ([(2,4),(2,5),(3,4),(3,5)],6) => 11
[3,2,5,6,1,4] => [6,3,2,1,5,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 9
[3,2,5,6,4,1] => [4,3,2,6,5,1] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 9
[3,2,6,1,4,5] => [6,3,2,1,4,5] => ([(1,5),(2,5),(3,5),(5,4)],6) => 8
[3,2,6,1,5,4] => [5,3,2,6,1,4] => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => 9
[3,2,6,4,1,5] => [4,3,2,6,1,5] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 8
[3,2,6,4,5,1] => [5,3,2,6,4,1] => ([(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 10
[3,2,6,5,1,4] => [5,3,2,1,6,4] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 8
[3,2,6,5,4,1] => [4,3,2,5,6,1] => ([(1,5),(2,5),(3,5),(5,4)],6) => 8
[3,4,1,2,5,6] => [4,1,3,2,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 4
[3,4,1,2,6,5] => [4,1,3,2,6,5] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 5
[3,4,1,5,2,6] => [5,4,3,1,2,6] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 9
[3,4,1,5,6,2] => [6,4,3,1,5,2] => ([(1,5),(2,5),(3,4),(3,5)],6) => 11
[3,4,1,6,2,5] => [6,4,3,1,2,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => 10
[3,4,1,6,5,2] => [5,4,3,1,6,2] => ([(0,5),(1,5),(2,5),(3,4),(3,5)],6) => 10
[3,4,2,1,5,6] => [2,4,3,1,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 4
[3,4,2,1,6,5] => [2,4,3,1,6,5] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 5
[3,4,2,5,1,6] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 10
[3,4,2,5,6,1] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 12
[3,4,2,6,1,5] => [6,4,3,2,1,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 11
[3,4,2,6,5,1] => [5,4,3,2,6,1] => ([(1,5),(2,5),(3,5),(4,5)],6) => 11
[3,4,5,1,2,6] => [5,1,3,4,2,6] => ([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 6
[3,4,5,1,6,2] => [6,5,3,4,1,2] => ([(2,5),(3,4)],6) => 13
[3,4,5,2,1,6] => [2,5,3,4,1,6] => ([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 6
[3,4,5,2,6,1] => [6,5,3,4,2,1] => ([(4,5)],6) => 14
[3,4,5,6,1,2] => [6,1,3,4,5,2] => ([(1,3),(1,5),(4,2),(5,4)],6) => 8
[3,4,5,6,2,1] => [2,6,3,4,5,1] => ([(1,3),(1,5),(4,2),(5,4)],6) => 8
[3,4,6,1,2,5] => [6,1,3,4,2,5] => ([(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 7
[3,4,6,1,5,2] => [5,6,3,4,1,2] => ([(0,5),(1,4),(2,3)],6) => 12
[3,4,6,2,1,5] => [2,6,3,4,1,5] => ([(0,5),(1,2),(1,4),(3,5),(4,3)],6) => 7
[3,4,6,2,5,1] => [5,6,3,4,2,1] => ([(2,5),(3,4)],6) => 13
[3,4,6,5,1,2] => [5,1,3,4,6,2] => ([(0,5),(1,2),(1,4),(3,5),(4,3)],6) => 7
[3,4,6,5,2,1] => [2,5,3,4,6,1] => ([(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 7
[3,5,1,2,4,6] => [5,1,3,2,4,6] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 5
[3,5,1,2,6,4] => [6,1,3,5,2,4] => ([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 8
[3,5,1,4,2,6] => [4,5,3,1,2,6] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 8
[3,5,1,4,6,2] => [6,5,3,1,4,2] => ([(2,5),(3,4),(3,5)],6) => 12
[3,5,1,6,2,4] => [6,5,3,1,2,4] => ([(2,5),(3,4),(4,5)],6) => 11
[3,5,1,6,4,2] => [4,6,3,5,1,2] => ([(0,5),(1,3),(2,4),(2,5)],6) => 11
[3,5,2,1,4,6] => [2,5,3,1,4,6] => ([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6) => 5
[3,5,2,1,6,4] => [2,6,3,5,1,4] => ([(0,5),(1,3),(1,4),(4,2),(4,5)],6) => 8
[3,5,2,4,1,6] => [4,5,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 9
[3,5,2,4,6,1] => [6,5,3,2,4,1] => ([(3,5),(4,5)],6) => 13
[3,5,2,6,1,4] => [6,5,3,2,1,4] => ([(2,5),(3,5),(4,5)],6) => 12
[3,5,2,6,4,1] => [4,6,3,5,2,1] => ([(2,5),(3,4),(3,5)],6) => 12
[3,5,4,1,2,6] => [4,1,3,5,2,6] => ([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6) => 5
[3,5,4,1,6,2] => [6,4,3,5,1,2] => ([(1,5),(2,5),(3,4)],6) => 12
[3,5,4,2,1,6] => [2,4,3,5,1,6] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 5
[3,5,4,2,6,1] => [6,4,3,5,2,1] => ([(3,5),(4,5)],6) => 13
[3,5,4,6,1,2] => [6,1,3,5,4,2] => ([(1,4),(1,5),(5,2),(5,3)],6) => 9
[3,5,4,6,2,1] => [2,6,3,5,4,1] => ([(1,4),(1,5),(5,2),(5,3)],6) => 9
[3,5,6,1,2,4] => [6,1,3,2,5,4] => ([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 7
[3,5,6,1,4,2] => [4,6,3,1,5,2] => ([(0,5),(1,4),(1,5),(2,3),(2,5)],6) => 10
[3,5,6,2,1,4] => [2,6,3,1,5,4] => ([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => 7
[3,5,6,2,4,1] => [4,6,3,2,5,1] => ([(1,5),(2,5),(3,4),(3,5)],6) => 11
[3,5,6,4,1,2] => [4,1,3,6,5,2] => ([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => 7
[3,5,6,4,2,1] => [2,4,3,6,5,1] => ([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 7
[3,6,1,2,4,5] => [6,1,3,2,4,5] => ([(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 6
[3,6,1,2,5,4] => [5,1,3,6,2,4] => ([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 7
[3,6,1,4,2,5] => [4,6,3,1,2,5] => ([(0,5),(1,4),(2,3),(2,5),(4,5)],6) => 9
[3,6,1,4,5,2] => [5,6,3,1,4,2] => ([(0,5),(1,3),(2,4),(2,5)],6) => 11
[3,6,1,5,2,4] => [5,6,3,1,2,4] => ([(0,5),(1,3),(2,4),(4,5)],6) => 10
[3,6,1,5,4,2] => [4,5,3,6,1,2] => ([(0,5),(1,3),(2,4),(4,5)],6) => 10
[3,6,2,1,4,5] => [2,6,3,1,4,5] => ([(0,5),(1,2),(1,3),(3,5),(5,4)],6) => 6
[3,6,2,1,5,4] => [2,5,3,6,1,4] => ([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 7
[3,6,2,4,1,5] => [4,6,3,2,1,5] => ([(0,5),(1,5),(2,5),(3,4),(3,5)],6) => 10
[3,6,2,4,5,1] => [5,6,3,2,4,1] => ([(1,5),(2,5),(3,4)],6) => 12
[3,6,2,5,1,4] => [5,6,3,2,1,4] => ([(0,5),(1,5),(2,5),(3,4)],6) => 11
[3,6,2,5,4,1] => [4,5,3,6,2,1] => ([(2,5),(3,4),(4,5)],6) => 11
[3,6,4,1,2,5] => [4,1,3,6,2,5] => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 6
[3,6,4,1,5,2] => [5,4,3,6,1,2] => ([(0,5),(1,5),(2,5),(3,4)],6) => 11
[3,6,4,2,1,5] => [2,4,3,6,1,5] => ([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 6
[3,6,4,2,5,1] => [5,4,3,6,2,1] => ([(2,5),(3,5),(4,5)],6) => 12
[3,6,4,5,1,2] => [5,1,3,6,4,2] => ([(0,5),(1,3),(1,4),(4,2),(4,5)],6) => 8
[3,6,4,5,2,1] => [2,5,3,6,4,1] => ([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 8
[3,6,5,1,2,4] => [5,1,3,2,6,4] => ([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 6
[3,6,5,1,4,2] => [4,5,3,1,6,2] => ([(0,5),(1,4),(2,3),(2,5),(4,5)],6) => 9
[3,6,5,2,1,4] => [2,5,3,1,6,4] => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 6
[3,6,5,2,4,1] => [4,5,3,2,6,1] => ([(1,5),(2,5),(3,4),(4,5)],6) => 10
[3,6,5,4,1,2] => [4,1,3,5,6,2] => ([(0,5),(1,2),(1,3),(3,5),(5,4)],6) => 6
[3,6,5,4,2,1] => [2,4,3,5,6,1] => ([(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 6
[4,1,2,3,5,6] => [4,1,2,3,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 3
[4,1,2,3,6,5] => [4,1,2,3,6,5] => ([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => 4
[4,1,2,5,3,6] => [5,1,4,2,3,6] => ([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 6
[4,1,2,5,6,3] => [6,1,4,2,5,3] => ([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 8
[4,1,2,6,3,5] => [6,1,4,2,3,5] => ([(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 7
[4,1,2,6,5,3] => [5,1,4,2,6,3] => ([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 7
[4,1,3,2,5,6] => [3,4,1,2,5,6] => ([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 4
[4,1,3,2,6,5] => [3,4,1,2,6,5] => ([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6) => 5
[4,1,3,5,2,6] => [5,4,1,3,2,6] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 8
[4,1,3,5,6,2] => [6,4,1,3,5,2] => ([(1,5),(2,3),(2,4),(4,5)],6) => 10
[4,1,3,6,2,5] => [6,4,1,3,2,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 9
[4,1,3,6,5,2] => [5,4,1,3,6,2] => ([(0,5),(1,5),(2,3),(2,4),(4,5)],6) => 9
[4,1,5,2,3,6] => [5,4,1,2,3,6] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 7
[4,1,5,2,6,3] => [6,5,4,1,2,3] => ([(3,4),(4,5)],6) => 12
[4,1,5,3,2,6] => [3,5,4,1,2,6] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => 7
[4,1,5,3,6,2] => [6,5,4,1,3,2] => ([(3,4),(3,5)],6) => 13
[4,1,5,6,2,3] => [6,4,1,2,5,3] => ([(1,5),(2,3),(3,4),(3,5)],6) => 9
[4,1,5,6,3,2] => [3,6,4,1,5,2] => ([(0,4),(0,5),(1,2),(1,3),(3,5)],6) => 9
[4,1,6,2,3,5] => [6,4,1,2,3,5] => ([(1,5),(2,3),(3,4),(4,5)],6) => 8
[4,1,6,2,5,3] => [5,6,4,1,2,3] => ([(1,3),(2,4),(4,5)],6) => 11
[4,1,6,3,2,5] => [3,6,4,1,2,5] => ([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => 8
[4,1,6,3,5,2] => [5,6,4,1,3,2] => ([(1,5),(2,3),(2,4)],6) => 12
[4,1,6,5,2,3] => [5,4,1,2,6,3] => ([(0,5),(1,5),(2,3),(3,4),(3,5)],6) => 8
[4,1,6,5,3,2] => [3,5,4,1,6,2] => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6) => 8
[4,2,1,3,5,6] => [2,4,1,3,5,6] => ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6) => 3
[4,2,1,3,6,5] => [2,4,1,3,6,5] => ([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) => 4
[4,2,1,5,3,6] => [2,5,4,1,3,6] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 6
[4,2,1,5,6,3] => [2,6,4,1,5,3] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6) => 8
[4,2,1,6,3,5] => [2,6,4,1,3,5] => ([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 7
[4,2,1,6,5,3] => [2,5,4,1,6,3] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 7
[4,2,3,1,5,6] => [3,4,2,1,5,6] => ([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 5
[4,2,3,1,6,5] => [3,4,2,1,6,5] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 6
[4,2,3,5,1,6] => [5,4,2,3,1,6] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 9
[4,2,3,5,6,1] => [6,4,2,3,5,1] => ([(2,5),(3,4),(4,5)],6) => 11
[4,2,3,6,1,5] => [6,4,2,3,1,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => 10
[4,2,3,6,5,1] => [5,4,2,3,6,1] => ([(1,5),(2,5),(3,4),(4,5)],6) => 10
[4,2,5,1,3,6] => [5,4,2,1,3,6] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 8
[4,2,5,1,6,3] => [6,5,4,2,1,3] => ([(3,5),(4,5)],6) => 13
[4,2,5,3,1,6] => [3,5,4,2,1,6] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 8
[4,2,5,3,6,1] => [6,5,4,2,3,1] => ([(4,5)],6) => 14
[4,2,5,6,1,3] => [6,4,2,1,5,3] => ([(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 10
[4,2,5,6,3,1] => [3,6,4,2,5,1] => ([(1,5),(2,3),(2,4),(4,5)],6) => 10
[4,2,6,1,3,5] => [6,4,2,1,3,5] => ([(1,5),(2,4),(3,4),(4,5)],6) => 9
[4,2,6,1,5,3] => [5,6,4,2,1,3] => ([(1,5),(2,5),(3,4)],6) => 12
[4,2,6,3,1,5] => [3,6,4,2,1,5] => ([(0,5),(1,5),(2,3),(2,4),(4,5)],6) => 9
[4,2,6,3,5,1] => [5,6,4,2,3,1] => ([(2,5),(3,4)],6) => 13
[4,2,6,5,1,3] => [5,4,2,1,6,3] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 9
[4,2,6,5,3,1] => [3,5,4,2,6,1] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 9
[4,3,1,2,5,6] => [3,1,4,2,5,6] => ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6) => 3
[4,3,1,2,6,5] => [3,1,4,2,6,5] => ([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) => 4
[4,3,1,5,2,6] => [5,3,4,1,2,6] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 8
[4,3,1,5,6,2] => [6,3,4,1,5,2] => ([(1,4),(2,3),(2,5),(4,5)],6) => 10
[4,3,1,6,2,5] => [6,3,4,1,2,5] => ([(1,4),(2,3),(3,5),(4,5)],6) => 9
[4,3,1,6,5,2] => [5,3,4,1,6,2] => ([(0,5),(1,4),(2,3),(2,5),(4,5)],6) => 9
[4,3,2,1,5,6] => [2,3,4,1,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 3
[4,3,2,1,6,5] => [2,3,4,1,6,5] => ([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => 4
[4,3,2,5,1,6] => [5,3,4,2,1,6] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 9
[4,3,2,5,6,1] => [6,3,4,2,5,1] => ([(2,5),(3,4),(4,5)],6) => 11
[4,3,2,6,1,5] => [6,3,4,2,1,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => 10
[4,3,2,6,5,1] => [5,3,4,2,6,1] => ([(1,5),(2,5),(3,4),(4,5)],6) => 10
[4,3,5,1,2,6] => [5,1,4,3,2,6] => ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 7
[4,3,5,1,6,2] => [6,5,4,3,1,2] => ([(4,5)],6) => 14
[4,3,5,2,1,6] => [2,5,4,3,1,6] => ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 7
[4,3,5,2,6,1] => [6,5,4,3,2,1] => ([],6) => 15
[4,3,5,6,1,2] => [6,1,4,3,5,2] => ([(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 9
[4,3,5,6,2,1] => [2,6,4,3,5,1] => ([(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 9
[4,3,6,1,2,5] => [6,1,4,3,2,5] => ([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 8
[4,3,6,1,5,2] => [5,6,4,3,1,2] => ([(2,5),(3,4)],6) => 13
[4,3,6,2,1,5] => [2,6,4,3,1,5] => ([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 8
[4,3,6,2,5,1] => [5,6,4,3,2,1] => ([(4,5)],6) => 14
[4,3,6,5,1,2] => [5,1,4,3,6,2] => ([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 8
[4,3,6,5,2,1] => [2,5,4,3,6,1] => ([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 8
[4,5,1,2,3,6] => [5,1,2,4,3,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 5
[4,5,1,2,6,3] => [6,1,5,4,2,3] => ([(1,3),(1,4),(1,5),(5,2)],6) => 10
[4,5,1,3,2,6] => [3,5,1,4,2,6] => ([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6) => 6
[4,5,1,3,6,2] => [6,5,1,4,3,2] => ([(2,3),(2,4),(2,5)],6) => 12
[4,5,1,6,2,3] => [6,5,1,4,2,3] => ([(2,3),(2,4),(4,5)],6) => 11
[4,5,1,6,3,2] => [3,6,5,4,1,2] => ([(0,5),(1,2),(1,3),(1,4)],6) => 11
[4,5,2,1,3,6] => [2,5,1,4,3,6] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 5
[4,5,2,1,6,3] => [2,6,5,4,1,3] => ([(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 10
[4,5,2,3,1,6] => [3,5,2,4,1,6] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 7
[4,5,2,3,6,1] => [6,5,2,4,3,1] => ([(3,4),(3,5)],6) => 13
[4,5,2,6,1,3] => [6,5,2,4,1,3] => ([(2,5),(3,4),(3,5)],6) => 12
[4,5,2,6,3,1] => [3,6,5,4,2,1] => ([(2,3),(2,4),(2,5)],6) => 12
[4,5,3,1,2,6] => [3,1,5,4,2,6] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 5
[4,5,3,1,6,2] => [6,3,5,4,1,2] => ([(1,5),(2,3),(2,4)],6) => 12
[4,5,3,2,1,6] => [2,3,5,4,1,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 5
[4,5,3,2,6,1] => [6,3,5,4,2,1] => ([(3,4),(3,5)],6) => 13
[4,5,3,6,1,2] => [6,1,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5)],6) => 11
[4,5,3,6,2,1] => [2,6,5,4,3,1] => ([(1,2),(1,3),(1,4),(1,5)],6) => 11
[4,5,6,1,2,3] => [6,1,2,4,5,3] => ([(1,5),(4,3),(5,2),(5,4)],6) => 7
[4,5,6,1,3,2] => [3,6,1,4,5,2] => ([(0,4),(0,5),(1,3),(1,5),(5,2)],6) => 8
[4,5,6,2,1,3] => [2,6,1,4,5,3] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 7
[4,5,6,2,3,1] => [3,6,2,4,5,1] => ([(1,5),(2,3),(2,5),(5,4)],6) => 9
[4,5,6,3,1,2] => [3,1,6,4,5,2] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 7
[4,5,6,3,2,1] => [2,3,6,4,5,1] => ([(1,5),(4,3),(5,2),(5,4)],6) => 7
[4,6,1,2,3,5] => [6,1,2,4,3,5] => ([(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 6
[4,6,1,2,5,3] => [5,1,6,4,2,3] => ([(0,5),(1,3),(1,4),(1,5),(4,2)],6) => 9
[4,6,1,3,2,5] => [3,6,1,4,2,5] => ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => 7
[4,6,1,3,5,2] => [5,6,1,4,3,2] => ([(0,5),(1,2),(1,3),(1,4)],6) => 11
[4,6,1,5,2,3] => [5,6,1,4,2,3] => ([(0,4),(1,3),(1,5),(5,2)],6) => 10
[4,6,1,5,3,2] => [3,5,6,4,1,2] => ([(0,4),(1,3),(1,5),(5,2)],6) => 10
[4,6,2,1,3,5] => [2,6,1,4,3,5] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6) => 6
[4,6,2,1,5,3] => [2,5,6,4,1,3] => ([(0,5),(1,3),(1,4),(1,5),(4,2)],6) => 9
[4,6,2,3,1,5] => [3,6,2,4,1,5] => ([(0,5),(1,4),(2,3),(2,4),(4,5)],6) => 8
[4,6,2,3,5,1] => [5,6,2,4,3,1] => ([(1,5),(2,3),(2,4)],6) => 12
[4,6,2,5,1,3] => [5,6,2,4,1,3] => ([(0,5),(1,3),(2,4),(2,5)],6) => 11
[4,6,2,5,3,1] => [3,5,6,4,2,1] => ([(2,3),(2,4),(4,5)],6) => 11
[4,6,3,1,2,5] => [3,1,6,4,2,5] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6) => 6
[4,6,3,1,5,2] => [5,3,6,4,1,2] => ([(0,5),(1,3),(2,4),(2,5)],6) => 11
[4,6,3,2,1,5] => [2,3,6,4,1,5] => ([(0,5),(1,4),(3,5),(4,2),(4,3)],6) => 6
[4,6,3,2,5,1] => [5,3,6,4,2,1] => ([(2,5),(3,4),(3,5)],6) => 12
[4,6,3,5,1,2] => [5,1,6,4,3,2] => ([(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 10
[4,6,3,5,2,1] => [2,5,6,4,3,1] => ([(1,3),(1,4),(1,5),(5,2)],6) => 10
[4,6,5,1,2,3] => [5,1,2,4,6,3] => ([(0,5),(1,4),(3,5),(4,2),(4,3)],6) => 6
[4,6,5,1,3,2] => [3,5,1,4,6,2] => ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => 7
[4,6,5,2,1,3] => [2,5,1,4,6,3] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6) => 6
[4,6,5,2,3,1] => [3,5,2,4,6,1] => ([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 8
[4,6,5,3,1,2] => [3,1,5,4,6,2] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6) => 6
[4,6,5,3,2,1] => [2,3,5,4,6,1] => ([(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 6
[5,1,2,3,4,6] => [5,1,2,3,4,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 4
[5,1,2,3,6,4] => [6,1,2,5,3,4] => ([(1,5),(4,3),(5,2),(5,4)],6) => 7
[5,1,2,4,3,6] => [4,1,5,2,3,6] => ([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => 5
[5,1,2,4,6,3] => [6,1,5,2,4,3] => ([(1,4),(1,5),(5,2),(5,3)],6) => 9
[5,1,2,6,3,4] => [6,1,5,2,3,4] => ([(1,3),(1,5),(4,2),(5,4)],6) => 8
[5,1,2,6,4,3] => [4,1,6,5,2,3] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6) => 8
[5,1,3,2,4,6] => [3,5,1,2,4,6] => ([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => 5
[5,1,3,2,6,4] => [3,6,1,5,2,4] => ([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6) => 8
[5,1,3,4,2,6] => [4,5,1,3,2,6] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => 7
[5,1,3,4,6,2] => [6,5,1,3,4,2] => ([(2,3),(2,4),(4,5)],6) => 11
[5,1,3,6,2,4] => [6,5,1,3,2,4] => ([(2,3),(2,4),(3,5),(4,5)],6) => 10
[5,1,3,6,4,2] => [4,6,1,5,3,2] => ([(0,4),(0,5),(1,2),(1,3),(1,5)],6) => 10
[5,1,4,2,3,6] => [4,5,1,2,3,6] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 6
[5,1,4,2,6,3] => [6,4,5,1,2,3] => ([(1,3),(2,4),(4,5)],6) => 11
[5,1,4,3,2,6] => [3,4,5,1,2,6] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 6
[5,1,4,3,6,2] => [6,4,5,1,3,2] => ([(1,5),(2,3),(2,4)],6) => 12
[5,1,4,6,2,3] => [6,5,1,2,4,3] => ([(2,3),(3,4),(3,5)],6) => 10
[5,1,4,6,3,2] => [3,6,5,1,4,2] => ([(0,4),(0,5),(1,2),(1,3),(1,5)],6) => 10
[5,1,6,2,3,4] => [6,5,1,2,3,4] => ([(2,3),(3,5),(5,4)],6) => 9
[5,1,6,2,4,3] => [4,6,5,1,2,3] => ([(0,5),(1,3),(1,4),(5,2)],6) => 10
[5,1,6,3,2,4] => [3,6,5,1,2,4] => ([(0,4),(1,2),(1,3),(1,5),(4,5)],6) => 9
[5,1,6,3,4,2] => [4,6,5,1,3,2] => ([(0,4),(0,5),(1,2),(1,3)],6) => 11
[5,1,6,4,2,3] => [4,6,1,5,2,3] => ([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => 9
[5,1,6,4,3,2] => [3,4,6,5,1,2] => ([(0,4),(1,5),(5,2),(5,3)],6) => 9
[5,2,1,3,4,6] => [2,5,1,3,4,6] => ([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6) => 4
[5,2,1,3,6,4] => [2,6,1,5,3,4] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 7
[5,2,1,4,3,6] => [2,4,5,1,3,6] => ([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => 5
[5,2,1,4,6,3] => [2,6,5,1,4,3] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 9
[5,2,1,6,3,4] => [2,6,5,1,3,4] => ([(0,5),(1,2),(1,3),(1,5),(5,4)],6) => 8
[5,2,1,6,4,3] => [2,4,6,5,1,3] => ([(0,5),(1,4),(1,5),(4,2),(4,3)],6) => 8
[5,2,3,1,4,6] => [3,5,2,1,4,6] => ([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 6
[5,2,3,1,6,4] => [3,6,2,5,1,4] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 9
[5,2,3,4,1,6] => [4,5,2,3,1,6] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 8
[5,2,3,4,6,1] => [6,5,2,3,4,1] => ([(3,4),(4,5)],6) => 12
[5,2,3,6,1,4] => [6,5,2,3,1,4] => ([(2,5),(3,4),(4,5)],6) => 11
[5,2,3,6,4,1] => [4,6,2,5,3,1] => ([(1,4),(1,5),(2,3),(2,5)],6) => 11
[5,2,4,1,3,6] => [4,5,2,1,3,6] => ([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 7
[5,2,4,1,6,3] => [6,4,5,2,1,3] => ([(1,5),(2,5),(3,4)],6) => 12
[5,2,4,3,1,6] => [3,4,5,2,1,6] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 7
[5,2,4,3,6,1] => [6,4,5,2,3,1] => ([(2,5),(3,4)],6) => 13
[5,2,4,6,1,3] => [6,5,2,1,4,3] => ([(2,4),(2,5),(3,4),(3,5)],6) => 11
[5,2,4,6,3,1] => [3,6,5,2,4,1] => ([(1,5),(2,3),(2,4),(2,5)],6) => 11
[5,2,6,1,3,4] => [6,5,2,1,3,4] => ([(2,5),(3,5),(5,4)],6) => 10
[5,2,6,1,4,3] => [4,6,5,2,1,3] => ([(0,5),(1,5),(2,3),(2,4)],6) => 11
[5,2,6,3,1,4] => [3,6,5,2,1,4] => ([(0,5),(1,5),(2,3),(2,4),(2,5)],6) => 10
[5,2,6,3,4,1] => [4,6,5,2,3,1] => ([(1,5),(2,3),(2,4)],6) => 12
[5,2,6,4,1,3] => [4,6,2,5,1,3] => ([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => 10
[5,2,6,4,3,1] => [3,4,6,5,2,1] => ([(2,3),(3,4),(3,5)],6) => 10
[5,3,1,2,4,6] => [3,1,5,2,4,6] => ([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6) => 4
[5,3,1,2,6,4] => [3,1,6,5,2,4] => ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6) => 7
[5,3,1,4,2,6] => [4,3,5,1,2,6] => ([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 7
[5,3,1,4,6,2] => [6,3,5,1,4,2] => ([(1,4),(1,5),(2,3),(2,5)],6) => 11
[5,3,1,6,2,4] => [6,3,5,1,2,4] => ([(1,4),(2,3),(2,5),(4,5)],6) => 10
[5,3,1,6,4,2] => [4,3,6,5,1,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3)],6) => 10
[5,3,2,1,4,6] => [2,3,5,1,4,6] => ([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6) => 4
[5,3,2,1,6,4] => [2,3,6,5,1,4] => ([(0,5),(1,4),(4,2),(4,3),(4,5)],6) => 7
[5,3,2,4,1,6] => [4,3,5,2,1,6] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 8
[5,3,2,4,6,1] => [6,3,5,2,4,1] => ([(2,5),(3,4),(3,5)],6) => 12
[5,3,2,6,1,4] => [6,3,5,2,1,4] => ([(1,5),(2,5),(3,4),(3,5)],6) => 11
[5,3,2,6,4,1] => [4,3,6,5,2,1] => ([(2,4),(2,5),(3,4),(3,5)],6) => 11
[5,3,4,1,2,6] => [4,1,5,3,2,6] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 6
[5,3,4,1,6,2] => [6,4,5,3,1,2] => ([(2,5),(3,4)],6) => 13
[5,3,4,2,1,6] => [2,4,5,3,1,6] => ([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 6
[5,3,4,2,6,1] => [6,4,5,3,2,1] => ([(4,5)],6) => 14
[5,3,4,6,1,2] => [6,1,5,3,4,2] => ([(1,3),(1,4),(1,5),(5,2)],6) => 10
[5,3,4,6,2,1] => [2,6,5,3,4,1] => ([(1,3),(1,4),(1,5),(5,2)],6) => 10
[5,3,6,1,2,4] => [6,1,5,3,2,4] => ([(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 9
[5,3,6,1,4,2] => [4,6,5,3,1,2] => ([(1,5),(2,3),(2,4)],6) => 12
[5,3,6,2,1,4] => [2,6,5,3,1,4] => ([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => 9
[5,3,6,2,4,1] => [4,6,5,3,2,1] => ([(3,4),(3,5)],6) => 13
[5,3,6,4,1,2] => [4,1,6,5,3,2] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 9
[5,3,6,4,2,1] => [2,4,6,5,3,1] => ([(1,4),(1,5),(5,2),(5,3)],6) => 9
[5,4,1,2,3,6] => [4,1,2,5,3,6] => ([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6) => 4
[5,4,1,2,6,3] => [6,1,4,5,2,3] => ([(1,4),(1,5),(4,3),(5,2)],6) => 9
[5,4,1,3,2,6] => [3,4,1,5,2,6] => ([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => 5
[5,4,1,3,6,2] => [6,4,1,5,3,2] => ([(1,5),(2,3),(2,4),(2,5)],6) => 11
[5,4,1,6,2,3] => [6,4,1,5,2,3] => ([(1,5),(2,3),(2,5),(3,4)],6) => 10
[5,4,1,6,3,2] => [3,6,4,5,1,2] => ([(0,4),(1,3),(1,5),(5,2)],6) => 10
[5,4,2,1,3,6] => [2,4,1,5,3,6] => ([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6) => 4
[5,4,2,1,6,3] => [2,6,4,5,1,3] => ([(0,5),(1,3),(1,4),(1,5),(4,2)],6) => 9
[5,4,2,3,1,6] => [3,4,2,5,1,6] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 6
[5,4,2,3,6,1] => [6,4,2,5,3,1] => ([(2,5),(3,4),(3,5)],6) => 12
[5,4,2,6,1,3] => [6,4,2,5,1,3] => ([(1,5),(2,4),(3,4),(3,5)],6) => 11
[5,4,2,6,3,1] => [3,6,4,5,2,1] => ([(2,3),(2,4),(4,5)],6) => 11
[5,4,3,1,2,6] => [3,1,4,5,2,6] => ([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6) => 4
[5,4,3,1,6,2] => [6,3,4,5,1,2] => ([(1,3),(2,4),(4,5)],6) => 11
[5,4,3,2,1,6] => [2,3,4,5,1,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 4
[5,4,3,2,6,1] => [6,3,4,5,2,1] => ([(3,4),(4,5)],6) => 12
[5,4,3,6,1,2] => [6,1,4,5,3,2] => ([(1,3),(1,4),(1,5),(5,2)],6) => 10
[5,4,3,6,2,1] => [2,6,4,5,3,1] => ([(1,3),(1,4),(1,5),(5,2)],6) => 10
[5,4,6,1,2,3] => [6,1,2,5,4,3] => ([(1,5),(5,2),(5,3),(5,4)],6) => 8
[5,4,6,1,3,2] => [3,6,1,5,4,2] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6) => 9
[5,4,6,2,1,3] => [2,6,1,5,4,3] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 8
[5,4,6,2,3,1] => [3,6,2,5,4,1] => ([(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 10
[5,4,6,3,1,2] => [3,1,6,5,4,2] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 8
[5,4,6,3,2,1] => [2,3,6,5,4,1] => ([(1,5),(5,2),(5,3),(5,4)],6) => 8
[5,6,1,2,3,4] => [6,1,2,3,5,4] => ([(1,4),(4,5),(5,2),(5,3)],6) => 6
[5,6,1,2,4,3] => [4,1,6,2,5,3] => ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6) => 7
[5,6,1,3,2,4] => [3,6,1,2,5,4] => ([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6) => 7
[5,6,1,3,4,2] => [4,6,1,3,5,2] => ([(0,4),(0,5),(1,2),(1,3),(3,5)],6) => 9
[5,6,1,4,2,3] => [4,6,1,2,5,3] => ([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => 8
[5,6,1,4,3,2] => [3,4,6,1,5,2] => ([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => 8
[5,6,2,1,3,4] => [2,6,1,3,5,4] => ([(0,5),(1,2),(1,5),(5,3),(5,4)],6) => 6
[5,6,2,1,4,3] => [2,4,6,1,5,3] => ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6) => 7
[5,6,2,3,1,4] => [3,6,2,1,5,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 8
[5,6,2,3,4,1] => [4,6,2,3,5,1] => ([(1,4),(2,3),(2,5),(4,5)],6) => 10
[5,6,2,4,1,3] => [4,6,2,1,5,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6) => 9
[5,6,2,4,3,1] => [3,4,6,2,5,1] => ([(1,5),(2,3),(3,4),(3,5)],6) => 9
[5,6,3,1,2,4] => [3,1,6,2,5,4] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6) => 6
[5,6,3,1,4,2] => [4,3,6,1,5,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6) => 9
[5,6,3,2,1,4] => [2,3,6,1,5,4] => ([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6) => 6
[5,6,3,2,4,1] => [4,3,6,2,5,1] => ([(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 10
[5,6,3,4,1,2] => [4,1,6,3,5,2] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6) => 8
[5,6,3,4,2,1] => [2,4,6,3,5,1] => ([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 8
[5,6,4,1,2,3] => [4,1,2,6,5,3] => ([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6) => 6
[5,6,4,1,3,2] => [3,4,1,6,5,2] => ([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6) => 7
[5,6,4,2,1,3] => [2,4,1,6,5,3] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6) => 6
[5,6,4,2,3,1] => [3,4,2,6,5,1] => ([(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 8
[5,6,4,3,1,2] => [3,1,4,6,5,2] => ([(0,5),(1,2),(1,5),(5,3),(5,4)],6) => 6
[5,6,4,3,2,1] => [2,3,4,6,5,1] => ([(1,4),(4,5),(5,2),(5,3)],6) => 6
[6,1,2,3,4,5] => [6,1,2,3,4,5] => ([(1,5),(3,4),(4,2),(5,3)],6) => 5
[6,1,2,3,5,4] => [5,1,2,6,3,4] => ([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => 6
[6,1,2,4,3,5] => [4,1,6,2,3,5] => ([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6) => 6
[6,1,2,4,5,3] => [5,1,6,2,4,3] => ([(0,5),(1,4),(1,5),(4,2),(4,3)],6) => 8
[6,1,2,5,3,4] => [5,1,6,2,3,4] => ([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => 7
[6,1,2,5,4,3] => [4,1,5,6,2,3] => ([(0,5),(1,4),(1,5),(4,2),(5,3)],6) => 7
[6,1,3,2,4,5] => [3,6,1,2,4,5] => ([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => 6
[6,1,3,2,5,4] => [3,5,1,6,2,4] => ([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6) => 7
[6,1,3,4,2,5] => [4,6,1,3,2,5] => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6) => 8
[6,1,3,4,5,2] => [5,6,1,3,4,2] => ([(0,4),(1,3),(1,5),(5,2)],6) => 10
[6,1,3,5,2,4] => [5,6,1,3,2,4] => ([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => 9
[6,1,3,5,4,2] => [4,5,1,6,3,2] => ([(0,4),(1,2),(1,3),(1,5),(4,5)],6) => 9
[6,1,4,2,3,5] => [4,6,1,2,3,5] => ([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => 7
[6,1,4,2,5,3] => [5,4,6,1,2,3] => ([(0,5),(1,5),(2,3),(3,4)],6) => 10
[6,1,4,3,2,5] => [3,4,6,1,2,5] => ([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => 7
[6,1,4,3,5,2] => [5,4,6,1,3,2] => ([(0,5),(1,5),(2,3),(2,4)],6) => 11
[6,1,4,5,2,3] => [5,6,1,2,4,3] => ([(0,4),(1,5),(5,2),(5,3)],6) => 9
[6,1,4,5,3,2] => [3,5,6,1,4,2] => ([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => 9
[6,1,5,2,3,4] => [5,6,1,2,3,4] => ([(0,5),(1,3),(4,2),(5,4)],6) => 8
[6,1,5,2,4,3] => [4,5,6,1,2,3] => ([(0,5),(1,4),(4,2),(5,3)],6) => 9
[6,1,5,3,2,4] => [3,5,6,1,2,4] => ([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => 8
[6,1,5,3,4,2] => [4,5,6,1,3,2] => ([(0,5),(1,3),(1,4),(5,2)],6) => 10
[6,1,5,4,2,3] => [4,5,1,6,2,3] => ([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => 8
[6,1,5,4,3,2] => [3,4,5,6,1,2] => ([(0,5),(1,3),(4,2),(5,4)],6) => 8
[6,2,1,3,4,5] => [2,6,1,3,4,5] => ([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => 5
[6,2,1,3,5,4] => [2,5,1,6,3,4] => ([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6) => 6
[6,2,1,4,3,5] => [2,4,6,1,3,5] => ([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => 6
[6,2,1,4,5,3] => [2,5,6,1,4,3] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6) => 8
[6,2,1,5,3,4] => [2,5,6,1,3,4] => ([(0,5),(1,4),(1,5),(4,2),(5,3)],6) => 7
[6,2,1,5,4,3] => [2,4,5,6,1,3] => ([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => 7
[6,2,3,1,4,5] => [3,6,2,1,4,5] => ([(0,5),(1,5),(2,3),(2,5),(5,4)],6) => 7
[6,2,3,1,5,4] => [3,5,2,6,1,4] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => 8
[6,2,3,4,1,5] => [4,6,2,3,1,5] => ([(0,5),(1,4),(2,3),(2,5),(4,5)],6) => 9
[6,2,3,4,5,1] => [5,6,2,3,4,1] => ([(1,3),(2,4),(4,5)],6) => 11
[6,2,3,5,1,4] => [5,6,2,3,1,4] => ([(0,5),(1,3),(2,4),(4,5)],6) => 10
[6,2,3,5,4,1] => [4,5,2,6,3,1] => ([(1,4),(2,3),(2,5),(4,5)],6) => 10
[6,2,4,1,3,5] => [4,6,2,1,3,5] => ([(0,4),(1,4),(2,3),(2,5),(4,5)],6) => 8
[6,2,4,1,5,3] => [5,4,6,2,1,3] => ([(0,5),(1,5),(2,4),(3,4)],6) => 11
[6,2,4,3,1,5] => [3,4,6,2,1,5] => ([(0,5),(1,5),(2,3),(3,4),(3,5)],6) => 8
[6,2,4,3,5,1] => [5,4,6,2,3,1] => ([(1,5),(2,5),(3,4)],6) => 12
[6,2,4,5,1,3] => [5,6,2,1,4,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3)],6) => 10
[6,2,4,5,3,1] => [3,5,6,2,4,1] => ([(1,5),(2,3),(2,5),(3,4)],6) => 10
[6,2,5,1,3,4] => [5,6,2,1,3,4] => ([(0,5),(1,5),(2,3),(5,4)],6) => 9
[6,2,5,1,4,3] => [4,5,6,2,1,3] => ([(0,5),(1,5),(2,3),(3,4)],6) => 10
[6,2,5,3,1,4] => [3,5,6,2,1,4] => ([(0,5),(1,5),(2,3),(2,5),(3,4)],6) => 9
[6,2,5,3,4,1] => [4,5,6,2,3,1] => ([(1,3),(2,4),(4,5)],6) => 11
[6,2,5,4,1,3] => [4,5,2,6,1,3] => ([(0,4),(1,4),(1,5),(2,3),(3,5)],6) => 9
[6,2,5,4,3,1] => [3,4,5,6,2,1] => ([(2,3),(3,5),(5,4)],6) => 9
[6,3,1,2,4,5] => [3,1,6,2,4,5] => ([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6) => 5
[6,3,1,2,5,4] => [3,1,5,6,2,4] => ([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6) => 6
[6,3,1,4,2,5] => [4,3,6,1,2,5] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6) => 8
[6,3,1,4,5,2] => [5,3,6,1,4,2] => ([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => 10
[6,3,1,5,2,4] => [5,3,6,1,2,4] => ([(0,4),(1,4),(1,5),(2,3),(3,5)],6) => 9
[6,3,1,5,4,2] => [4,3,5,6,1,2] => ([(0,5),(1,5),(2,3),(5,4)],6) => 9
[6,3,2,1,4,5] => [2,3,6,1,4,5] => ([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => 5
[6,3,2,1,5,4] => [2,3,5,6,1,4] => ([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => 6
[6,3,2,4,1,5] => [4,3,6,2,1,5] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 9
[6,3,2,4,5,1] => [5,3,6,2,4,1] => ([(1,5),(2,4),(3,4),(3,5)],6) => 11
[6,3,2,5,1,4] => [5,3,6,2,1,4] => ([(0,5),(1,5),(2,4),(3,4),(3,5)],6) => 10
[6,3,2,5,4,1] => [4,3,5,6,2,1] => ([(2,5),(3,5),(5,4)],6) => 10
[6,3,4,1,2,5] => [4,1,6,3,2,5] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 7
[6,3,4,1,5,2] => [5,4,6,3,1,2] => ([(1,5),(2,5),(3,4)],6) => 12
[6,3,4,2,1,5] => [2,4,6,3,1,5] => ([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 7
[6,3,4,2,5,1] => [5,4,6,3,2,1] => ([(3,5),(4,5)],6) => 13
[6,3,4,5,1,2] => [5,1,6,3,4,2] => ([(0,5),(1,3),(1,4),(1,5),(4,2)],6) => 9
[6,3,4,5,2,1] => [2,5,6,3,4,1] => ([(1,4),(1,5),(4,3),(5,2)],6) => 9
[6,3,5,1,2,4] => [5,1,6,3,2,4] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 8
[6,3,5,1,4,2] => [4,5,6,3,1,2] => ([(1,3),(2,4),(4,5)],6) => 11
[6,3,5,2,1,4] => [2,5,6,3,1,4] => ([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => 8
[6,3,5,2,4,1] => [4,5,6,3,2,1] => ([(3,4),(4,5)],6) => 12
[6,3,5,4,1,2] => [4,1,5,6,3,2] => ([(0,5),(1,2),(1,3),(1,5),(5,4)],6) => 8
[6,3,5,4,2,1] => [2,4,5,6,3,1] => ([(1,3),(1,5),(4,2),(5,4)],6) => 8
[6,4,1,2,3,5] => [4,1,2,6,3,5] => ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6) => 5
[6,4,1,2,5,3] => [5,1,4,6,2,3] => ([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => 8
[6,4,1,3,2,5] => [3,4,1,6,2,5] => ([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6) => 6
[6,4,1,3,5,2] => [5,4,1,6,3,2] => ([(0,5),(1,5),(2,3),(2,4),(2,5)],6) => 10
[6,4,1,5,2,3] => [5,4,1,6,2,3] => ([(0,5),(1,5),(2,3),(2,5),(3,4)],6) => 9
[6,4,1,5,3,2] => [3,5,4,6,1,2] => ([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => 9
[6,4,2,1,3,5] => [2,4,1,6,3,5] => ([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6) => 5
[6,4,2,1,5,3] => [2,5,4,6,1,3] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 8
[6,4,2,3,1,5] => [3,4,2,6,1,5] => ([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 7
[6,4,2,3,5,1] => [5,4,2,6,3,1] => ([(1,5),(2,5),(3,4),(3,5)],6) => 11
[6,4,2,5,1,3] => [5,4,2,6,1,3] => ([(0,5),(1,5),(2,4),(3,4),(3,5)],6) => 10
[6,4,2,5,3,1] => [3,5,4,6,2,1] => ([(2,3),(2,4),(3,5),(4,5)],6) => 10
[6,4,3,1,2,5] => [3,1,4,6,2,5] => ([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6) => 5
[6,4,3,1,5,2] => [5,3,4,6,1,2] => ([(0,5),(1,3),(2,4),(4,5)],6) => 10
[6,4,3,2,1,5] => [2,3,4,6,1,5] => ([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => 5
[6,4,3,2,5,1] => [5,3,4,6,2,1] => ([(2,5),(3,4),(4,5)],6) => 11
[6,4,3,5,1,2] => [5,1,4,6,3,2] => ([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => 9
[6,4,3,5,2,1] => [2,5,4,6,3,1] => ([(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 9
[6,4,5,1,2,3] => [5,1,2,6,4,3] => ([(0,5),(1,4),(4,2),(4,3),(4,5)],6) => 7
[6,4,5,1,3,2] => [3,5,1,6,4,2] => ([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6) => 8
[6,4,5,2,1,3] => [2,5,1,6,4,3] => ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6) => 7
[6,4,5,2,3,1] => [3,5,2,6,4,1] => ([(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 9
[6,4,5,3,1,2] => [3,1,5,6,4,2] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 7
[6,4,5,3,2,1] => [2,3,5,6,4,1] => ([(1,5),(4,3),(5,2),(5,4)],6) => 7
[6,5,1,2,3,4] => [5,1,2,3,6,4] => ([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => 5
[6,5,1,2,4,3] => [4,1,5,2,6,3] => ([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => 6
[6,5,1,3,2,4] => [3,5,1,2,6,4] => ([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6) => 6
[6,5,1,3,4,2] => [4,5,1,3,6,2] => ([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => 8
[6,5,1,4,2,3] => [4,5,1,2,6,3] => ([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => 7
[6,5,1,4,3,2] => [3,4,5,1,6,2] => ([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => 7
[6,5,2,1,3,4] => [2,5,1,3,6,4] => ([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6) => 5
[6,5,2,1,4,3] => [2,4,5,1,6,3] => ([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6) => 6
[6,5,2,3,1,4] => [3,5,2,1,6,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 7
[6,5,2,3,4,1] => [4,5,2,3,6,1] => ([(1,4),(2,3),(3,5),(4,5)],6) => 9
[6,5,2,4,1,3] => [4,5,2,1,6,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6) => 8
[6,5,2,4,3,1] => [3,4,5,2,6,1] => ([(1,5),(2,3),(3,4),(4,5)],6) => 8
[6,5,3,1,2,4] => [3,1,5,2,6,4] => ([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6) => 5
[6,5,3,1,4,2] => [4,3,5,1,6,2] => ([(0,4),(1,4),(2,3),(2,5),(4,5)],6) => 8
[6,5,3,2,1,4] => [2,3,5,1,6,4] => ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6) => 5
[6,5,3,2,4,1] => [4,3,5,2,6,1] => ([(1,5),(2,4),(3,4),(4,5)],6) => 9
[6,5,3,4,1,2] => [4,1,5,3,6,2] => ([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 7
[6,5,3,4,2,1] => [2,4,5,3,6,1] => ([(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 7
[6,5,4,1,2,3] => [4,1,2,5,6,3] => ([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => 5
[6,5,4,1,3,2] => [3,4,1,5,6,2] => ([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => 6
[6,5,4,2,1,3] => [2,4,1,5,6,3] => ([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6) => 5
[6,5,4,2,3,1] => [3,4,2,5,6,1] => ([(1,5),(2,3),(3,5),(5,4)],6) => 7
[6,5,4,3,1,2] => [3,1,4,5,6,2] => ([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => 5
[6,5,4,3,2,1] => [2,3,4,5,6,1] => ([(1,5),(3,4),(4,2),(5,3)],6) => 5
[1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 1
[1,2,3,5,6,4,7] => [1,2,3,6,5,4,7] => ([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 3
[1,2,3,5,7,4,6] => [1,2,3,7,5,4,6] => ([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 4
[1,2,3,5,7,6,4] => [1,2,3,6,5,7,4] => ([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 4
[1,2,3,6,5,7,4] => [1,2,3,7,6,5,4] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 6
[1,2,4,5,3,7,6] => [1,2,5,4,3,7,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 4
[1,2,4,6,7,3,5] => [1,2,7,4,3,6,5] => ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 6
[1,2,4,6,7,5,3] => [1,2,5,4,7,6,3] => ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 6
[1,2,4,7,5,3,6] => [1,2,5,4,7,3,6] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 5
[1,2,4,7,6,3,5] => [1,2,6,4,3,7,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 5
[1,2,5,4,6,3,7] => [1,2,6,5,4,3,7] => ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 6
[1,2,5,4,6,7,3] => [1,2,7,5,4,6,3] => ([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 8
[1,2,5,4,7,3,6] => [1,2,7,5,4,3,6] => ([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 7
[1,2,5,4,7,6,3] => [1,2,6,5,4,7,3] => ([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 7
[1,2,5,6,4,7,3] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 10
[1,2,6,4,7,3,5] => [1,2,7,6,4,3,5] => ([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 8
[1,2,7,5,4,6,3] => [1,2,6,5,7,4,3] => ([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 8
[1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => 2
[1,3,2,4,6,7,5] => [1,3,2,4,7,6,5] => ([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7) => 4
[1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => 2
[1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => ([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 3
[1,3,2,5,6,4,7] => [1,3,2,6,5,4,7] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 4
[1,3,2,5,6,7,4] => [1,3,2,7,5,6,4] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7) => 6
[1,3,2,5,7,4,6] => [1,3,2,7,5,4,6] => ([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 5
[1,3,2,5,7,6,4] => [1,3,2,6,5,7,4] => ([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 5
[1,3,2,6,4,7,5] => [1,3,2,7,6,4,5] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7) => 6
[1,3,2,6,5,7,4] => [1,3,2,7,6,5,4] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 7
[1,3,2,6,7,4,5] => [1,3,2,7,4,6,5] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => 5
[1,3,2,6,7,5,4] => [1,3,2,5,7,6,4] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => 5
[1,3,2,7,4,6,5] => [1,3,2,6,7,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) => 5
[1,3,2,7,5,4,6] => [1,3,2,5,7,4,6] => ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 4
[1,3,2,7,5,6,4] => [1,3,2,6,7,5,4] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7) => 6
[1,3,2,7,6,4,5] => [1,3,2,6,4,7,5] => ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 4
[1,3,4,2,5,7,6] => [1,4,3,2,5,7,6] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7) => 4
[1,3,4,2,6,5,7] => [1,4,3,2,6,5,7] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 4
[1,3,4,2,6,7,5] => [1,4,3,2,7,6,5] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 6
[1,3,4,2,7,5,6] => [1,4,3,2,7,5,6] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 5
[1,3,4,2,7,6,5] => [1,4,3,2,6,7,5] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 5
[1,3,4,5,2,6,7] => [1,5,3,4,2,6,7] => ([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => 5
[1,3,4,6,5,7,2] => [1,7,3,4,6,5,2] => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 10
[1,3,4,7,2,5,6] => [1,7,3,4,2,5,6] => ([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7) => 7
[1,3,4,7,6,5,2] => [1,5,3,4,6,7,2] => ([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7) => 7
[1,3,5,2,4,6,7] => [1,5,3,2,4,6,7] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7) => 4
[1,3,5,2,4,7,6] => [1,5,3,2,4,7,6] => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 5
[1,3,5,4,2,6,7] => [1,4,3,5,2,6,7] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7) => 4
[1,3,5,4,2,7,6] => [1,4,3,5,2,7,6] => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 5
[1,3,5,4,6,2,7] => [1,6,3,5,4,2,7] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 8
[1,3,5,4,6,7,2] => [1,7,3,5,4,6,2] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7) => 10
[1,3,5,4,7,2,6] => [1,7,3,5,4,2,6] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7) => 9
[1,3,5,4,7,6,2] => [1,6,3,5,4,7,2] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7) => 9
[1,3,5,6,2,4,7] => [1,6,3,2,5,4,7] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 6
[1,3,5,6,2,7,4] => [1,7,3,6,5,2,4] => ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => 11
[1,3,5,6,4,2,7] => [1,4,3,6,5,2,7] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 6
[1,3,5,6,4,7,2] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 12
[1,3,5,6,7,2,4] => [1,7,3,2,5,6,4] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 8
[1,3,5,6,7,4,2] => [1,4,3,7,5,6,2] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 8
[1,3,5,7,2,4,6] => [1,7,3,2,5,4,6] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 7
[1,3,5,7,2,6,4] => [1,6,3,7,5,2,4] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7) => 10
[1,3,5,7,4,2,6] => [1,4,3,7,5,2,6] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 7
[1,3,5,7,4,6,2] => [1,6,3,7,5,4,2] => ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => 11
[1,3,5,7,6,2,4] => [1,6,3,2,5,7,4] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 7
[1,3,5,7,6,4,2] => [1,4,3,6,5,7,2] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 7
[1,3,6,2,4,7,5] => [1,7,3,2,6,4,5] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 8
[1,3,6,2,5,4,7] => [1,5,3,6,2,4,7] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 6
[1,3,6,2,5,7,4] => [1,7,3,6,2,5,4] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 10
[1,3,6,2,7,4,5] => [1,7,3,6,2,4,5] => ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7) => 9
[1,3,6,2,7,5,4] => [1,5,3,7,6,2,4] => ([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 9
[1,3,6,4,2,5,7] => [1,4,3,6,2,5,7] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 5
[1,3,6,4,2,7,5] => [1,4,3,7,6,2,5] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 8
[1,3,6,4,7,2,5] => [1,7,3,6,4,2,5] => ([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7) => 10
[1,3,6,4,7,5,2] => [1,5,3,7,6,4,2] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 10
[1,3,6,5,2,4,7] => [1,5,3,2,6,4,7] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 5
[1,3,6,5,7,2,4] => [1,7,3,2,6,5,4] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 9
[1,3,6,5,7,4,2] => [1,4,3,7,6,5,2] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 9
[1,3,6,7,2,4,5] => [1,7,3,2,4,6,5] => ([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7) => 7
[1,3,6,7,2,5,4] => [1,5,3,7,2,6,4] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 8
[1,3,6,7,4,2,5] => [1,4,3,7,2,6,5] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 7
[1,3,6,7,5,2,4] => [1,5,3,2,7,6,4] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 7
[1,3,6,7,5,4,2] => [1,4,3,5,7,6,2] => ([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7) => 7
[1,3,7,2,4,6,5] => [1,6,3,2,7,4,5] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7) => 7
[1,3,7,2,5,4,6] => [1,5,3,7,2,4,6] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => 7
[1,3,7,2,5,6,4] => [1,6,3,7,2,5,4] => ([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 9
[1,3,7,2,6,4,5] => [1,6,3,7,2,4,5] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7) => 8
[1,3,7,2,6,5,4] => [1,5,3,6,7,2,4] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7) => 8
[1,3,7,4,2,5,6] => [1,4,3,7,2,5,6] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 6
[1,3,7,4,2,6,5] => [1,4,3,6,7,2,5] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7) => 7
[1,3,7,4,6,5,2] => [1,5,3,6,7,4,2] => ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7) => 9
[1,3,7,5,2,4,6] => [1,5,3,2,7,4,6] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 6
[1,3,7,5,4,2,6] => [1,4,3,5,7,2,6] => ([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7) => 6
[1,3,7,5,4,6,2] => [1,6,3,5,7,4,2] => ([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7) => 10
[1,3,7,5,6,2,4] => [1,6,3,2,7,5,4] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 8
[1,3,7,5,6,4,2] => [1,4,3,6,7,5,2] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 8
[1,3,7,6,2,4,5] => [1,6,3,2,4,7,5] => ([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7) => 6
[1,3,7,6,2,5,4] => [1,5,3,6,2,7,4] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => 7
[1,3,7,6,4,2,5] => [1,4,3,6,2,7,5] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 6
[1,3,7,6,5,2,4] => [1,5,3,2,6,7,4] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 6
[1,4,2,3,5,7,6] => [1,4,2,3,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 3
[1,4,2,5,3,6,7] => [1,5,4,2,3,6,7] => ([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => 5
[1,4,2,5,6,7,3] => [1,7,4,2,5,6,3] => ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7) => 9
[1,4,2,5,7,6,3] => [1,6,4,2,5,7,3] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => 8
[1,4,2,6,5,7,3] => [1,7,4,2,6,5,3] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 10
[1,4,2,6,7,5,3] => [1,5,4,2,7,6,3] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 8
[1,4,2,7,3,5,6] => [1,7,4,2,3,5,6] => ([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7) => 7
[1,4,2,7,5,6,3] => [1,6,4,2,7,5,3] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 9
[1,4,2,7,6,5,3] => [1,5,4,2,6,7,3] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7) => 7
[1,4,3,2,5,7,6] => [1,3,4,2,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 3
[1,4,3,5,2,6,7] => [1,5,4,3,2,6,7] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) => 6
[1,4,3,5,2,7,6] => [1,5,4,3,2,7,6] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 7
[1,4,3,5,6,2,7] => [1,6,4,3,5,2,7] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 8
[1,4,3,5,6,7,2] => [1,7,4,3,5,6,2] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7) => 10
[1,4,3,5,7,2,6] => [1,7,4,3,5,2,6] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7) => 9
[1,4,3,5,7,6,2] => [1,6,4,3,5,7,2] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7) => 9
[1,4,3,6,2,5,7] => [1,6,4,3,2,5,7] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 7
[1,4,3,6,2,7,5] => [1,7,4,3,6,2,5] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 10
[1,4,3,6,5,2,7] => [1,5,4,3,6,2,7] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 7
[1,4,3,6,5,7,2] => [1,7,4,3,6,5,2] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 11
[1,4,3,6,7,2,5] => [1,7,4,3,2,6,5] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 9
[1,4,3,6,7,5,2] => [1,5,4,3,7,6,2] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 9
[1,4,3,7,2,5,6] => [1,7,4,3,2,5,6] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7) => 8
[1,4,3,7,2,6,5] => [1,6,4,3,7,2,5] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 9
[1,4,3,7,5,2,6] => [1,5,4,3,7,2,6] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 8
[1,4,3,7,5,6,2] => [1,6,4,3,7,5,2] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 10
[1,4,3,7,6,2,5] => [1,6,4,3,2,7,5] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 8
[1,4,3,7,6,5,2] => [1,5,4,3,6,7,2] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7) => 8
[1,4,5,2,3,7,6] => [1,5,2,4,3,7,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => 5
[1,4,5,2,6,3,7] => [1,6,5,4,2,3,7] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => 9
[1,4,5,2,6,7,3] => [1,7,5,4,2,6,3] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => 11
[1,4,5,2,7,3,6] => [1,7,5,4,2,3,6] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7) => 10
[1,4,5,2,7,6,3] => [1,6,5,4,2,7,3] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7) => 10
[1,4,5,3,2,7,6] => [1,3,5,4,2,7,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => 5
[1,4,5,3,6,2,7] => [1,6,5,4,3,2,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 10
[1,4,5,3,6,7,2] => [1,7,5,4,3,6,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 12
[1,4,5,3,7,2,6] => [1,7,5,4,3,2,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 11
[1,4,5,3,7,6,2] => [1,6,5,4,3,7,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 11
[1,4,5,6,2,7,3] => [1,7,6,4,5,2,3] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 13
[1,4,5,6,3,7,2] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 14
[1,4,5,7,2,6,3] => [1,6,7,4,5,2,3] => ([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7) => 12
[1,4,5,7,3,6,2] => [1,6,7,4,5,3,2] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 13
[1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 5
[1,4,6,2,5,3,7] => [1,5,6,4,2,3,7] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7) => 8
[1,4,6,2,5,7,3] => [1,7,6,4,2,5,3] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => 12
[1,4,6,2,7,3,5] => [1,7,6,4,2,3,5] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7) => 11
[1,4,6,2,7,5,3] => [1,5,7,4,6,2,3] => ([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7) => 11
[1,4,6,3,5,2,7] => [1,5,6,4,3,2,7] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => 9
[1,4,6,3,5,7,2] => [1,7,6,4,3,5,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 13
[1,4,6,3,7,2,5] => [1,7,6,4,3,2,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 12
[1,4,6,3,7,5,2] => [1,5,7,4,6,3,2] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => 12
[1,4,6,5,2,7,3] => [1,7,5,4,6,2,3] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7) => 12
[1,4,6,5,3,2,7] => [1,3,5,4,6,2,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 5
[1,4,6,5,3,7,2] => [1,7,5,4,6,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 13
[1,4,6,7,2,3,5] => [1,7,2,4,3,6,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => 7
[1,4,6,7,2,5,3] => [1,5,7,4,2,6,3] => ([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7) => 10
[1,4,6,7,3,5,2] => [1,5,7,4,3,6,2] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => 11
[1,4,6,7,5,3,2] => [1,3,5,4,7,6,2] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => 7
[1,4,7,2,5,6,3] => [1,6,7,4,2,5,3] => ([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7) => 11
[1,4,7,3,5,2,6] => [1,5,7,4,3,2,6] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7) => 10
[1,4,7,3,5,6,2] => [1,6,7,4,3,5,2] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7) => 12
[1,4,7,3,6,2,5] => [1,6,7,4,3,2,5] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7) => 11
[1,4,7,3,6,5,2] => [1,5,6,4,7,3,2] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7) => 11
[1,4,7,5,2,6,3] => [1,6,5,4,7,2,3] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7) => 11
[1,4,7,5,3,2,6] => [1,3,5,4,7,2,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => 6
[1,4,7,5,3,6,2] => [1,6,5,4,7,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 12
[1,4,7,6,2,3,5] => [1,6,2,4,3,7,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => 6
[1,4,7,6,3,5,2] => [1,5,6,4,3,7,2] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7) => 10
[1,5,2,4,3,7,6] => [1,4,5,2,3,7,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) => 5
[1,5,2,4,6,3,7] => [1,6,5,2,4,3,7] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 8
[1,5,2,4,6,7,3] => [1,7,5,2,4,6,3] => ([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7) => 10
[1,5,2,4,7,3,6] => [1,7,5,2,4,3,6] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7) => 9
[1,5,2,4,7,6,3] => [1,6,5,2,4,7,3] => ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 9
[1,5,2,6,3,7,4] => [1,7,6,5,2,3,4] => ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => 12
[1,5,2,6,4,3,7] => [1,4,6,5,2,3,7] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 7
[1,5,2,6,4,7,3] => [1,7,6,5,2,4,3] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 13
[1,5,2,7,4,3,6] => [1,4,7,5,2,3,6] => ([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 8
[1,5,2,7,4,6,3] => [1,6,7,5,2,4,3] => ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => 12
[1,5,2,7,6,4,3] => [1,4,6,5,2,7,3] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => 8
[1,5,3,2,6,4,7] => [1,3,6,5,2,4,7] => ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => 6
[1,5,3,2,7,6,4] => [1,3,6,5,2,7,4] => ([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7) => 7
[1,5,3,4,2,6,7] => [1,4,5,3,2,6,7] => ([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => 5
[1,5,3,4,6,2,7] => [1,6,5,3,4,2,7] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => 9
[1,5,3,4,6,7,2] => [1,7,5,3,4,6,2] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7) => 11
[1,5,3,4,7,2,6] => [1,7,5,3,4,2,6] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7) => 10
[1,5,3,4,7,6,2] => [1,6,5,3,4,7,2] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7) => 10
[1,5,3,6,2,4,7] => [1,6,5,3,2,4,7] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 8
[1,5,3,6,2,7,4] => [1,7,6,5,3,2,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 13
[1,5,3,6,4,2,7] => [1,4,6,5,3,2,7] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 8
[1,5,3,6,4,7,2] => [1,7,6,5,3,4,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 14
[1,5,3,6,7,2,4] => [1,7,5,3,2,6,4] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 10
[1,5,3,6,7,4,2] => [1,4,7,5,3,6,2] => ([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7) => 10
[1,5,3,7,2,4,6] => [1,7,5,3,2,4,6] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7) => 9
[1,5,3,7,2,6,4] => [1,6,7,5,3,2,4] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7) => 12
[1,5,3,7,4,2,6] => [1,4,7,5,3,2,6] => ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 9
[1,5,3,7,4,6,2] => [1,6,7,5,3,4,2] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 13
[1,5,3,7,6,2,4] => [1,6,5,3,2,7,4] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 9
[1,5,3,7,6,4,2] => [1,4,6,5,3,7,2] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7) => 9
[1,5,4,2,6,3,7] => [1,6,4,5,2,3,7] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7) => 8
[1,5,4,2,7,3,6] => [1,7,4,5,2,3,6] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7) => 9
[1,5,4,3,6,2,7] => [1,6,4,5,3,2,7] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => 9
[1,5,4,3,6,7,2] => [1,7,4,5,3,6,2] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7) => 11
[1,5,4,3,7,2,6] => [1,7,4,5,3,2,6] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7) => 10
[1,5,4,3,7,6,2] => [1,6,4,5,3,7,2] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7) => 10
[1,5,4,6,2,3,7] => [1,6,2,5,4,3,7] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 7
[1,5,4,6,2,7,3] => [1,7,6,5,4,2,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 14
[1,5,4,6,3,2,7] => [1,3,6,5,4,2,7] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 7
[1,5,4,6,3,7,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 15
[1,5,4,6,7,2,3] => [1,7,2,5,4,6,3] => ([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 9
[1,5,4,6,7,3,2] => [1,3,7,5,4,6,2] => ([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 9
[1,5,4,7,2,3,6] => [1,7,2,5,4,3,6] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 8
[1,5,4,7,2,6,3] => [1,6,7,5,4,2,3] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 13
[1,5,4,7,3,2,6] => [1,3,7,5,4,2,6] => ([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 8
[1,5,4,7,3,6,2] => [1,6,7,5,4,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 14
[1,5,4,7,6,2,3] => [1,6,2,5,4,7,3] => ([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 8
[1,5,4,7,6,3,2] => [1,3,6,5,4,7,2] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 8
[1,5,6,2,4,3,7] => [1,4,6,2,5,3,7] => ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => 6
[1,5,6,2,4,7,3] => [1,7,6,2,5,4,3] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 12
[1,5,6,2,7,4,3] => [1,4,7,6,5,2,3] => ([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7) => 11
[1,5,6,3,2,7,4] => [1,3,7,6,5,2,4] => ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7) => 10
[1,5,6,3,4,7,2] => [1,7,6,3,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 13
[1,5,6,3,7,2,4] => [1,7,6,3,5,2,4] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => 12
[1,5,6,3,7,4,2] => [1,4,7,6,5,3,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 12
[1,5,6,4,2,7,3] => [1,7,4,6,5,2,3] => ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => 12
[1,5,6,4,3,7,2] => [1,7,4,6,5,3,2] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 13
[1,5,6,4,7,2,3] => [1,7,2,6,5,4,3] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 11
[1,5,6,4,7,3,2] => [1,3,7,6,5,4,2] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 11
[1,5,6,7,2,4,3] => [1,4,7,2,5,6,3] => ([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7) => 8
[1,5,6,7,3,2,4] => [1,3,7,2,5,6,4] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 7
[1,5,6,7,3,4,2] => [1,4,7,3,5,6,2] => ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7) => 9
[1,5,6,7,4,2,3] => [1,4,2,7,5,6,3] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 7
[1,5,7,2,4,6,3] => [1,6,7,2,5,4,3] => ([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7) => 11
[1,5,7,3,2,4,6] => [1,3,7,2,5,4,6] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => 6
[1,5,7,3,4,2,6] => [1,4,7,3,5,2,6] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => 8
[1,5,7,3,4,6,2] => [1,6,7,3,5,4,2] => ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => 12
[1,5,7,3,6,2,4] => [1,6,7,3,5,2,4] => ([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7) => 11
[1,5,7,4,2,6,3] => [1,6,4,7,5,2,3] => ([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7) => 11
[1,5,7,4,3,6,2] => [1,6,4,7,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => 12
[1,5,7,4,6,2,3] => [1,6,2,7,5,4,3] => ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7) => 10
[1,5,7,6,4,2,3] => [1,4,2,6,5,7,3] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => 6
[1,6,2,4,5,3,7] => [1,5,6,2,4,3,7] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 7
[1,6,2,4,7,3,5] => [1,7,6,2,4,3,5] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7) => 10
[1,6,2,4,7,5,3] => [1,5,7,2,6,4,3] => ([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7) => 10
[1,6,2,5,4,7,3] => [1,7,5,6,2,4,3] => ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => 12
[1,6,2,5,7,3,4] => [1,7,6,2,3,5,4] => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 10
[1,6,2,5,7,4,3] => [1,4,7,6,2,5,3] => ([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7) => 10
[1,6,2,7,4,5,3] => [1,5,7,6,2,4,3] => ([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7) => 11
[1,6,3,2,4,5,7] => [1,3,6,2,4,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 4
[1,6,3,2,4,7,5] => [1,3,7,2,6,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 7
[1,6,3,2,5,7,4] => [1,3,7,6,2,5,4] => ([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7) => 9
[1,6,3,2,7,4,5] => [1,3,7,6,2,4,5] => ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7) => 8
[1,6,3,4,2,7,5] => [1,4,7,3,6,2,5] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 9
[1,6,3,4,5,2,7] => [1,5,6,3,4,2,7] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7) => 8
[1,6,3,4,5,7,2] => [1,7,6,3,4,5,2] => ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => 12
[1,6,3,4,7,2,5] => [1,7,6,3,4,2,5] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7) => 11
[1,6,3,4,7,5,2] => [1,5,7,3,6,4,2] => ([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7) => 11
[1,6,3,5,2,7,4] => [1,7,5,6,3,2,4] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7) => 12
[1,6,3,5,4,7,2] => [1,7,5,6,3,4,2] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 13
[1,6,3,5,7,2,4] => [1,7,6,3,2,5,4] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 11
[1,6,3,5,7,4,2] => [1,4,7,6,3,5,2] => ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => 11
[1,6,3,7,2,4,5] => [1,7,6,3,2,4,5] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7) => 10
[1,6,3,7,2,5,4] => [1,5,7,6,3,2,4] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7) => 11
[1,6,3,7,4,2,5] => [1,4,7,6,3,2,5] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7) => 10
[1,6,3,7,4,5,2] => [1,5,7,6,3,4,2] => ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => 12
[1,6,3,7,5,2,4] => [1,5,7,3,6,2,4] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7) => 10
[1,6,3,7,5,4,2] => [1,4,5,7,6,3,2] => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 10
[1,6,4,2,5,7,3] => [1,7,4,6,2,5,3] => ([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7) => 11
[1,6,4,2,7,5,3] => [1,5,4,7,6,2,3] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => 10
[1,6,4,3,5,2,7] => [1,5,4,6,3,2,7] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 8
[1,6,4,3,5,7,2] => [1,7,4,6,3,5,2] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => 12
[1,6,4,3,7,2,5] => [1,7,4,6,3,2,5] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => 11
[1,6,4,3,7,5,2] => [1,5,4,7,6,3,2] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 11
[1,6,4,5,2,3,7] => [1,5,2,6,4,3,7] => ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => 6
[1,6,4,5,2,7,3] => [1,7,5,6,4,2,3] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 13
[1,6,4,5,3,7,2] => [1,7,5,6,4,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 14
[1,6,4,7,2,3,5] => [1,7,2,6,4,3,5] => ([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 9
[1,6,4,7,2,5,3] => [1,5,7,6,4,2,3] => ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => 12
[1,6,4,7,3,5,2] => [1,5,7,6,4,3,2] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 13
[1,6,4,7,5,2,3] => [1,5,2,7,6,4,3] => ([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7) => 9
[1,6,5,2,4,7,3] => [1,7,5,2,6,4,3] => ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => 11
[1,6,5,3,4,7,2] => [1,7,5,3,6,4,2] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => 12
[1,6,5,3,7,2,4] => [1,7,5,3,6,2,4] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7) => 11
[1,6,5,4,2,3,7] => [1,4,2,5,6,3,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 4
[1,6,5,4,3,7,2] => [1,7,4,5,6,3,2] => ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => 12
[1,6,5,7,2,4,3] => [1,4,7,2,6,5,3] => ([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 9
[1,6,5,7,3,2,4] => [1,3,7,2,6,5,4] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7) => 8
[1,6,5,7,3,4,2] => [1,4,7,3,6,5,2] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 10
[1,6,5,7,4,2,3] => [1,4,2,7,6,5,3] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7) => 8
[1,6,7,3,2,4,5] => [1,3,7,2,4,6,5] => ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => 6
[1,6,7,3,4,2,5] => [1,4,7,3,2,6,5] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 8
[1,6,7,3,5,2,4] => [1,5,7,3,2,6,4] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => 9
[1,6,7,4,2,5,3] => [1,5,4,7,2,6,3] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => 9
[1,6,7,4,3,5,2] => [1,5,4,7,3,6,2] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 10
[1,6,7,5,4,2,3] => [1,4,2,5,7,6,3] => ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => 6
[1,7,2,4,5,3,6] => [1,5,7,2,4,3,6] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => 8
[1,7,2,4,6,3,5] => [1,6,7,2,4,3,5] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => 9
[1,7,2,5,4,6,3] => [1,6,5,7,2,4,3] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7) => 11
[1,7,3,4,2,5,6] => [1,4,7,3,2,5,6] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7) => 7
[1,7,3,5,2,4,6] => [1,5,7,3,2,4,6] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7) => 8
[1,7,3,5,2,6,4] => [1,6,5,7,3,2,4] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7) => 11
[1,7,3,5,4,6,2] => [1,6,5,7,3,4,2] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7) => 12
[1,7,3,5,6,2,4] => [1,6,7,3,2,5,4] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => 10
[1,7,3,6,2,4,5] => [1,6,7,3,2,4,5] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7) => 9
[1,7,4,2,5,6,3] => [1,6,4,7,2,5,3] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7) => 10
[1,7,4,2,6,5,3] => [1,5,4,6,7,2,3] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7) => 9
[1,7,4,3,5,2,6] => [1,5,4,7,3,2,6] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 9
[1,7,4,3,5,6,2] => [1,6,4,7,3,5,2] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7) => 11
[1,7,4,3,6,2,5] => [1,6,4,7,3,2,5] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 10
[1,7,4,3,6,5,2] => [1,5,4,6,7,3,2] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7) => 10
[1,7,4,5,2,3,6] => [1,5,2,7,4,3,6] => ([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7) => 7
[1,7,4,5,2,6,3] => [1,6,5,7,4,2,3] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7) => 12
[1,7,4,5,3,6,2] => [1,6,5,7,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 13
[1,7,4,6,2,3,5] => [1,6,2,7,4,3,5] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7) => 8
[1,7,4,6,3,5,2] => [1,5,6,7,4,3,2] => ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => 12
[1,7,4,6,5,2,3] => [1,5,2,6,7,4,3] => ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7) => 8
[1,7,5,2,4,6,3] => [1,6,5,2,7,4,3] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7) => 10
[1,7,5,2,6,4,3] => [1,4,6,5,7,2,3] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => 9
[1,7,5,3,2,6,4] => [1,3,6,5,7,2,4] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7) => 8
[1,7,5,3,4,6,2] => [1,6,5,3,7,4,2] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => 11
[1,7,5,3,6,2,4] => [1,6,5,3,7,2,4] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 10
[1,7,5,3,6,4,2] => [1,4,6,5,7,3,2] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7) => 10
[1,7,5,4,3,6,2] => [1,6,4,5,7,3,2] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7) => 11
[1,7,5,4,6,3,2] => [1,3,6,5,7,4,2] => ([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 9
[1,7,5,6,4,2,3] => [1,4,2,6,7,5,3] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 7
[1,7,6,2,4,5,3] => [1,5,6,2,4,7,3] => ([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 8
[1,7,6,3,4,5,2] => [1,5,6,3,4,7,2] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7) => 9
[1,7,6,4,2,5,3] => [1,5,4,6,2,7,3] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7) => 8
[1,7,6,4,3,5,2] => [1,5,4,6,3,7,2] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7) => 9
[1,7,6,5,3,4,2] => [1,4,5,3,6,7,2] => ([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7) => 7
[2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 1
[2,1,3,4,5,7,6] => [2,1,3,4,5,7,6] => ([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7) => 2
[2,1,3,4,6,5,7] => [2,1,3,4,6,5,7] => ([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7) => 2
[2,1,3,4,6,7,5] => [2,1,3,4,7,6,5] => ([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7) => 4
[2,1,3,4,7,5,6] => [2,1,3,4,7,5,6] => ([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7) => 3
[2,1,3,4,7,6,5] => [2,1,3,4,6,7,5] => ([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7) => 3
[2,1,3,5,4,6,7] => [2,1,3,5,4,6,7] => ([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7) => 2
[2,1,3,5,4,7,6] => [2,1,3,5,4,7,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7) => 3
[2,1,3,5,6,4,7] => [2,1,3,6,5,4,7] => ([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 4
[2,1,3,5,6,7,4] => [2,1,3,7,5,6,4] => ([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7) => 6
[2,1,3,5,7,4,6] => [2,1,3,7,5,4,6] => ([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7) => 5
[2,1,3,5,7,6,4] => [2,1,3,6,5,7,4] => ([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7) => 5
[2,1,3,6,4,5,7] => [2,1,3,6,4,5,7] => ([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7) => 3
[2,1,3,6,4,7,5] => [2,1,3,7,6,4,5] => ([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7) => 6
[2,1,3,6,5,4,7] => [2,1,3,5,6,4,7] => ([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7) => 3
[2,1,3,6,5,7,4] => [2,1,3,7,6,5,4] => ([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 7
[2,1,3,6,7,4,5] => [2,1,3,7,4,6,5] => ([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7) => 5
[2,1,3,6,7,5,4] => [2,1,3,5,7,6,4] => ([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7) => 5
[2,1,3,7,4,5,6] => [2,1,3,7,4,5,6] => ([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7) => 4
[2,1,3,7,4,6,5] => [2,1,3,6,7,4,5] => ([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7) => 5
[2,1,3,7,5,4,6] => [2,1,3,5,7,4,6] => ([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7) => 4
[2,1,3,7,5,6,4] => [2,1,3,6,7,5,4] => ([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7) => 6
[2,1,3,7,6,4,5] => [2,1,3,6,4,7,5] => ([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7) => 4
[2,1,3,7,6,5,4] => [2,1,3,5,6,7,4] => ([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7) => 4
[2,1,4,3,5,6,7] => [2,1,4,3,5,6,7] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7) => 2
[2,1,4,3,5,7,6] => [2,1,4,3,5,7,6] => ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7) => 3
[2,1,4,3,6,5,7] => [2,1,4,3,6,5,7] => ([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => 3
[2,1,4,3,6,7,5] => [2,1,4,3,7,6,5] => ([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 5
[2,1,4,3,7,5,6] => [2,1,4,3,7,5,6] => ([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => 4
[2,1,4,3,7,6,5] => [2,1,4,3,6,7,5] => ([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => 4
[2,1,5,3,4,6,7] => [2,1,5,3,4,6,7] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7) => 3
[2,1,5,3,4,7,6] => [2,1,5,3,4,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7) => 4
[2,1,5,4,3,6,7] => [2,1,4,5,3,6,7] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7) => 3
[2,1,5,4,3,7,6] => [2,1,4,5,3,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7) => 4
[2,1,5,6,3,4,7] => [2,1,6,3,5,4,7] => ([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 5
[2,1,5,6,4,3,7] => [2,1,4,6,5,3,7] => ([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 5
[2,1,5,6,7,3,4] => [2,1,7,3,5,6,4] => ([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7) => 7
[2,1,5,6,7,4,3] => [2,1,4,7,5,6,3] => ([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7) => 7
[2,1,5,7,3,4,6] => [2,1,7,3,5,4,6] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7) => 6
[2,1,5,7,4,3,6] => [2,1,4,7,5,3,6] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7) => 6
[2,1,5,7,6,3,4] => [2,1,6,3,5,7,4] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7) => 6
[2,1,5,7,6,4,3] => [2,1,4,6,5,7,3] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7) => 6
[2,1,6,3,4,5,7] => [2,1,6,3,4,5,7] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7) => 4
[2,1,6,3,4,7,5] => [2,1,7,3,6,4,5] => ([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7) => 7
[2,1,6,3,5,4,7] => [2,1,5,6,3,4,7] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7) => 5
[2,1,6,3,7,5,4] => [2,1,5,7,6,3,4] => ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7) => 8
[2,1,6,4,3,5,7] => [2,1,4,6,3,5,7] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7) => 4
[2,1,6,4,3,7,5] => [2,1,4,7,6,3,5] => ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7) => 7
[2,1,6,5,3,4,7] => [2,1,5,3,6,4,7] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7) => 4
[2,1,6,5,4,3,7] => [2,1,4,5,6,3,7] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7) => 4
[2,1,6,5,7,3,4] => [2,1,7,3,6,5,4] => ([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 8
[2,1,6,5,7,4,3] => [2,1,4,7,6,5,3] => ([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 8
[2,1,6,7,3,4,5] => [2,1,7,3,4,6,5] => ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7) => 6
[2,1,6,7,3,5,4] => [2,1,5,7,3,6,4] => ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7) => 7
[2,1,6,7,4,3,5] => [2,1,4,7,3,6,5] => ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 6
[2,1,6,7,5,3,4] => [2,1,5,3,7,6,4] => ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 6
[2,1,6,7,5,4,3] => [2,1,4,5,7,6,3] => ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7) => 6
[2,1,7,3,4,5,6] => [2,1,7,3,4,5,6] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7) => 5
[2,1,7,3,4,6,5] => [2,1,6,3,7,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7) => 6
[2,1,7,3,5,4,6] => [2,1,5,7,3,4,6] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7) => 6
[2,1,7,3,5,6,4] => [2,1,6,7,3,5,4] => ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7) => 8
[2,1,7,3,6,4,5] => [2,1,6,7,3,4,5] => ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7) => 7
[2,1,7,3,6,5,4] => [2,1,5,6,7,3,4] => ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7) => 7
[2,1,7,4,3,5,6] => [2,1,4,7,3,5,6] => ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7) => 5
[2,1,7,4,3,6,5] => [2,1,4,6,7,3,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7) => 6
[2,1,7,5,3,4,6] => [2,1,5,3,7,4,6] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7) => 5
[2,1,7,5,4,3,6] => [2,1,4,5,7,3,6] => ([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7) => 5
[2,1,7,5,6,3,4] => [2,1,6,3,7,5,4] => ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7) => 7
[2,1,7,5,6,4,3] => [2,1,4,6,7,5,3] => ([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7) => 7
[2,1,7,6,3,4,5] => [2,1,6,3,4,7,5] => ([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7) => 5
[2,1,7,6,3,5,4] => [2,1,5,6,3,7,4] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7) => 6
[2,1,7,6,4,3,5] => [2,1,4,6,3,7,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7) => 5
[2,1,7,6,5,3,4] => [2,1,5,3,6,7,4] => ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7) => 5
[2,1,7,6,5,4,3] => [2,1,4,5,6,7,3] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7) => 5
[2,3,1,4,5,6,7] => [3,2,1,4,5,6,7] => ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 3
[2,3,1,4,5,7,6] => [3,2,1,4,5,7,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7) => 4
[2,3,1,4,6,5,7] => [3,2,1,4,6,5,7] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 4
[2,3,1,4,6,7,5] => [3,2,1,4,7,6,5] => ([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 6
[2,3,1,4,7,5,6] => [3,2,1,4,7,5,6] => ([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 5
[2,3,1,4,7,6,5] => [3,2,1,4,6,7,5] => ([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 5
[2,3,1,5,4,6,7] => [3,2,1,5,4,6,7] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => 4
[2,3,1,5,4,7,6] => [3,2,1,5,4,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 5
[2,3,1,6,4,5,7] => [3,2,1,6,4,5,7] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7) => 5
[2,3,1,6,5,4,7] => [3,2,1,5,6,4,7] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7) => 5
[2,3,1,6,7,4,5] => [3,2,1,7,4,6,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 7
[2,3,1,6,7,5,4] => [3,2,1,5,7,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 7
[2,3,1,7,4,5,6] => [3,2,1,7,4,5,6] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 6
[2,3,1,7,4,6,5] => [3,2,1,6,7,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 7
[2,3,1,7,5,4,6] => [3,2,1,5,7,4,6] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7) => 6
[2,3,1,7,6,4,5] => [3,2,1,6,4,7,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7) => 6
[2,3,1,7,6,5,4] => [3,2,1,5,6,7,4] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 6
[2,3,4,1,5,6,7] => [4,2,3,1,5,6,7] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => 5
[2,3,4,1,5,7,6] => [4,2,3,1,5,7,6] => ([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7) => 6
[2,3,4,1,6,5,7] => [4,2,3,1,6,5,7] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => 6
[2,3,4,1,7,5,6] => [4,2,3,1,7,5,6] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => 7
[2,3,4,1,7,6,5] => [4,2,3,1,6,7,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => 7
[2,3,4,5,1,6,7] => [5,2,3,4,1,6,7] => ([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => 7
[2,3,4,5,1,7,6] => [5,2,3,4,1,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) => 8
[2,3,4,5,6,1,7] => [6,2,3,4,5,1,7] => ([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => 9
[2,3,4,5,7,1,6] => [7,2,3,4,5,1,6] => ([(1,3),(2,6),(3,5),(4,6),(5,4)],7) => 10
[2,3,4,5,7,6,1] => [6,2,3,4,5,7,1] => ([(1,3),(2,6),(3,5),(4,6),(5,4)],7) => 10
[2,3,4,6,5,7,1] => [7,2,3,4,6,5,1] => ([(2,5),(5,6),(6,3),(6,4)],7) => 12
[2,3,5,4,6,1,7] => [6,2,3,5,4,1,7] => ([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 10
[2,3,5,6,4,7,1] => [7,2,3,6,5,4,1] => ([(2,6),(6,3),(6,4),(6,5)],7) => 14
[2,3,6,1,4,5,7] => [6,2,3,1,4,5,7] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 7
[2,3,6,5,4,1,7] => [4,2,3,5,6,1,7] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 7
[2,4,1,3,5,6,7] => [4,2,1,3,5,6,7] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 4
[2,4,1,3,5,7,6] => [4,2,1,3,5,7,6] => ([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7) => 5
[2,4,1,3,6,5,7] => [4,2,1,3,6,5,7] => ([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => 5
[2,4,1,3,6,7,5] => [4,2,1,3,7,6,5] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 7
[2,4,1,3,7,5,6] => [4,2,1,3,7,5,6] => ([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7) => 6
[2,4,1,3,7,6,5] => [4,2,1,3,6,7,5] => ([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7) => 6
[2,4,1,6,7,3,5] => [7,2,4,1,3,6,5] => ([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 10
[2,4,1,7,3,5,6] => [7,2,4,1,3,5,6] => ([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7) => 9
[2,4,3,1,5,6,7] => [3,2,4,1,5,6,7] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 4
[2,4,3,1,5,7,6] => [3,2,4,1,5,7,6] => ([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7) => 5
[2,4,3,1,6,5,7] => [3,2,4,1,6,5,7] => ([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => 5
[2,4,3,1,6,7,5] => [3,2,4,1,7,6,5] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 7
[2,4,3,1,7,5,6] => [3,2,4,1,7,5,6] => ([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7) => 6
[2,4,3,1,7,6,5] => [3,2,4,1,6,7,5] => ([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7) => 6
[2,4,3,5,1,6,7] => [5,2,4,3,1,6,7] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 8
[2,4,3,5,1,7,6] => [5,2,4,3,1,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 9
[2,4,3,5,6,1,7] => [6,2,4,3,5,1,7] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => 10
[2,4,3,5,6,7,1] => [7,2,4,3,5,6,1] => ([(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 12
[2,4,3,6,5,7,1] => [7,2,4,3,6,5,1] => ([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 13
[2,4,5,1,3,6,7] => [5,2,1,4,3,6,7] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 6
[2,4,5,1,3,7,6] => [5,2,1,4,3,7,6] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 7
[2,4,5,1,7,3,6] => [7,2,5,4,1,3,6] => ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 12
[2,4,5,3,1,6,7] => [3,2,5,4,1,6,7] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 6
[2,4,5,3,1,7,6] => [3,2,5,4,1,7,6] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 7
[2,4,5,3,6,1,7] => [6,2,5,4,3,1,7] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 12
[2,4,5,3,6,7,1] => [7,2,5,4,3,6,1] => ([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 14
[2,4,5,3,7,1,6] => [7,2,5,4,3,1,6] => ([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 13
[2,4,5,3,7,6,1] => [6,2,5,4,3,7,1] => ([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 13
[2,4,5,6,1,3,7] => [6,2,1,4,5,3,7] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 8
[2,4,5,6,1,7,3] => [7,2,6,4,5,1,3] => ([(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 15
[2,4,5,6,3,1,7] => [3,2,6,4,5,1,7] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 8
[2,4,5,6,3,7,1] => [7,2,6,4,5,3,1] => ([(2,4),(2,5),(2,6),(6,3)],7) => 16
[2,4,5,6,7,1,3] => [7,2,1,4,5,6,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 10
[2,4,5,6,7,3,1] => [3,2,7,4,5,6,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 10
[2,4,5,7,1,3,6] => [7,2,1,4,5,3,6] => ([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 9
[2,4,5,7,3,1,6] => [3,2,7,4,5,1,6] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7) => 9
[2,4,5,7,3,6,1] => [6,2,7,4,5,3,1] => ([(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 15
[2,4,5,7,6,1,3] => [6,2,1,4,5,7,3] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7) => 9
[2,4,5,7,6,3,1] => [3,2,6,4,5,7,1] => ([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 9
[2,4,6,1,3,5,7] => [6,2,1,4,3,5,7] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => 7
[2,4,6,1,3,7,5] => [7,2,1,4,6,3,5] => ([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 10
[2,4,6,1,7,3,5] => [7,2,6,4,1,3,5] => ([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 13
[2,4,6,3,1,5,7] => [3,2,6,4,1,5,7] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => 7
[2,4,6,3,1,7,5] => [3,2,7,4,6,1,5] => ([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7) => 10
[2,4,6,3,5,7,1] => [7,2,6,4,3,5,1] => ([(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 15
[2,4,6,3,7,1,5] => [7,2,6,4,3,1,5] => ([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 14
[2,4,6,5,1,3,7] => [5,2,1,4,6,3,7] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => 7
[2,4,6,5,1,7,3] => [7,2,5,4,6,1,3] => ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 14
[2,4,6,5,3,1,7] => [3,2,5,4,6,1,7] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => 7
[2,4,6,5,3,7,1] => [7,2,5,4,6,3,1] => ([(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 15
[2,4,6,5,7,1,3] => [7,2,1,4,6,5,3] => ([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 11
[2,4,6,5,7,3,1] => [3,2,7,4,6,5,1] => ([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 11
[2,4,6,7,1,3,5] => [7,2,1,4,3,6,5] => ([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 9
[2,4,6,7,3,1,5] => [3,2,7,4,1,6,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 9
[2,4,6,7,5,1,3] => [5,2,1,4,7,6,3] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 9
[2,4,6,7,5,3,1] => [3,2,5,4,7,6,1] => ([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 9
[2,4,7,1,3,5,6] => [7,2,1,4,3,5,6] => ([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 8
[2,4,7,1,3,6,5] => [6,2,1,4,7,3,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7) => 9
[2,4,7,3,1,5,6] => [3,2,7,4,1,5,6] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7) => 8
[2,4,7,3,1,6,5] => [3,2,6,4,7,1,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7) => 9
[2,4,7,3,5,6,1] => [6,2,7,4,3,5,1] => ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 14
[2,4,7,3,6,5,1] => [5,2,6,4,7,3,1] => ([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 13
[2,4,7,5,1,3,6] => [5,2,1,4,7,3,6] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 8
[2,4,7,5,3,1,6] => [3,2,5,4,7,1,6] => ([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 8
[2,4,7,5,3,6,1] => [6,2,5,4,7,3,1] => ([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 14
[2,4,7,5,6,1,3] => [6,2,1,4,7,5,3] => ([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7) => 10
[2,4,7,5,6,3,1] => [3,2,6,4,7,5,1] => ([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 10
[2,4,7,6,1,3,5] => [6,2,1,4,3,7,5] => ([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 8
[2,4,7,6,3,1,5] => [3,2,6,4,1,7,5] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 8
[2,4,7,6,3,5,1] => [5,2,6,4,3,7,1] => ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 12
[2,4,7,6,5,1,3] => [5,2,1,4,6,7,3] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7) => 8
[2,4,7,6,5,3,1] => [3,2,5,4,6,7,1] => ([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 8
[2,5,1,3,4,6,7] => [5,2,1,3,4,6,7] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 5
[2,5,1,3,4,7,6] => [5,2,1,3,4,7,6] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7) => 6
[2,5,1,3,6,4,7] => [6,2,1,5,3,4,7] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 8
[2,5,1,3,6,7,4] => [7,2,1,5,3,6,4] => ([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 10
[2,5,1,3,7,4,6] => [7,2,1,5,3,4,6] => ([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 9
[2,5,1,3,7,6,4] => [6,2,1,5,3,7,4] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7) => 9
[2,5,1,4,3,6,7] => [4,2,5,1,3,6,7] => ([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 6
[2,5,1,4,3,7,6] => [4,2,5,1,3,7,6] => ([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 7
[2,5,1,6,3,4,7] => [6,2,5,1,3,4,7] => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7) => 9
[2,5,1,6,3,7,4] => [7,2,6,5,1,3,4] => ([(1,6),(2,3),(2,4),(2,6),(6,5)],7) => 14
[2,5,1,6,4,3,7] => [4,2,6,5,1,3,7] => ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 9
[2,5,1,6,7,3,4] => [7,2,5,1,3,6,4] => ([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7) => 11
[2,5,1,7,4,3,6] => [4,2,7,5,1,3,6] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 10
[2,5,3,1,4,6,7] => [3,2,5,1,4,6,7] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7) => 5
[2,5,3,1,4,7,6] => [3,2,5,1,4,7,6] => ([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 6
[2,5,3,1,6,4,7] => [3,2,6,5,1,4,7] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 8
[2,5,3,1,7,4,6] => [3,2,7,5,1,4,6] => ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => 9
[2,5,3,4,6,1,7] => [6,2,5,3,4,1,7] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 11
[2,5,3,4,6,7,1] => [7,2,5,3,4,6,1] => ([(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 13
[2,5,3,6,1,7,4] => [7,2,6,5,3,1,4] => ([(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 15
[2,5,3,6,4,7,1] => [7,2,6,5,3,4,1] => ([(2,4),(2,5),(2,6),(6,3)],7) => 16
[2,5,3,7,4,6,1] => [6,2,7,5,3,4,1] => ([(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 15
[2,5,4,1,3,6,7] => [4,2,1,5,3,6,7] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7) => 5
[2,5,4,1,3,7,6] => [4,2,1,5,3,7,6] => ([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 6
[2,5,4,1,7,3,6] => [7,2,4,5,1,3,6] => ([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => 11
[2,5,4,3,1,6,7] => [3,2,4,5,1,6,7] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 5
[2,5,4,3,1,7,6] => [3,2,4,5,1,7,6] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7) => 6
[2,5,4,3,6,1,7] => [6,2,4,5,3,1,7] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 11
[2,5,4,3,6,7,1] => [7,2,4,5,3,6,1] => ([(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 13
[2,5,4,6,1,7,3] => [7,2,6,5,4,1,3] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 16
[2,5,4,6,3,7,1] => [7,2,6,5,4,3,1] => ([(2,3),(2,4),(2,5),(2,6)],7) => 17
[2,5,4,7,3,6,1] => [6,2,7,5,4,3,1] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 16
[2,5,6,1,3,4,7] => [6,2,1,3,5,4,7] => ([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => 7
[2,5,6,3,4,7,1] => [7,2,6,3,5,4,1] => ([(2,5),(2,6),(6,3),(6,4)],7) => 15
[2,5,6,4,1,7,3] => [7,2,4,6,5,1,3] => ([(1,6),(2,3),(2,6),(3,4),(3,5)],7) => 14
[2,5,6,4,3,1,7] => [3,2,4,6,5,1,7] => ([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => 7
[2,5,6,4,3,7,1] => [7,2,4,6,5,3,1] => ([(2,5),(2,6),(6,3),(6,4)],7) => 15
[2,5,6,7,1,3,4] => [7,2,1,3,5,6,4] => ([(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 9
[2,5,6,7,4,3,1] => [3,2,4,7,5,6,1] => ([(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 9
[2,5,7,1,3,4,6] => [7,2,1,3,5,4,6] => ([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => 8
[2,5,7,1,3,6,4] => [6,2,1,7,5,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7) => 11
[2,5,7,1,6,3,4] => [6,2,7,1,5,3,4] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 12
[2,5,7,1,6,4,3] => [4,2,6,7,5,1,3] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 12
[2,5,7,3,1,6,4] => [3,2,6,7,5,1,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7) => 11
[2,5,7,3,4,6,1] => [6,2,7,3,5,4,1] => ([(1,6),(2,3),(2,6),(3,4),(3,5)],7) => 14
[2,5,7,4,3,1,6] => [3,2,4,7,5,1,6] => ([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7) => 8
[2,5,7,6,1,3,4] => [6,2,1,3,5,7,4] => ([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7) => 8
[2,5,7,6,4,3,1] => [3,2,4,6,5,7,1] => ([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => 8
[2,6,1,3,4,5,7] => [6,2,1,3,4,5,7] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 6
[2,6,1,3,4,7,5] => [7,2,1,3,6,4,5] => ([(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 9
[2,6,1,3,5,4,7] => [5,2,1,6,3,4,7] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7) => 7
[2,6,1,3,5,7,4] => [7,2,1,6,3,5,4] => ([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 11
[2,6,1,3,7,4,5] => [7,2,1,6,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 10
[2,6,1,4,5,3,7] => [5,2,6,1,4,3,7] => ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 9
[2,6,1,5,3,4,7] => [5,2,6,1,3,4,7] => ([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 8
[2,6,1,5,3,7,4] => [7,2,5,6,1,3,4] => ([(1,6),(2,3),(2,6),(3,5),(6,4)],7) => 13
[2,6,1,5,4,3,7] => [4,2,5,6,1,3,7] => ([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 8
[2,6,1,5,7,3,4] => [7,2,6,1,3,5,4] => ([(1,6),(2,3),(2,6),(6,4),(6,5)],7) => 12
[2,6,1,7,3,5,4] => [5,2,7,6,1,3,4] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7) => 12
[2,6,1,7,5,4,3] => [4,2,5,7,6,1,3] => ([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7) => 11
[2,6,3,1,4,5,7] => [3,2,6,1,4,5,7] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7) => 6
[2,6,3,1,5,4,7] => [3,2,5,6,1,4,7] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7) => 7
[2,6,3,1,7,4,5] => [3,2,7,6,1,4,5] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 10
[2,6,3,1,7,5,4] => [3,2,5,7,6,1,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7) => 10
[2,6,3,5,4,1,7] => [4,2,5,6,3,1,7] => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7) => 9
[2,6,3,5,4,7,1] => [7,2,5,6,3,4,1] => ([(2,5),(2,6),(5,4),(6,3)],7) => 15
[2,6,3,7,5,4,1] => [4,2,5,7,6,3,1] => ([(1,6),(2,3),(2,6),(6,4),(6,5)],7) => 12
[2,6,4,1,3,5,7] => [4,2,1,6,3,5,7] => ([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7) => 6
[2,6,4,1,7,3,5] => [7,2,4,6,1,3,5] => ([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => 12
[2,6,4,3,1,5,7] => [3,2,4,6,1,5,7] => ([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7) => 6
[2,6,4,3,1,7,5] => [3,2,4,7,6,1,5] => ([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7) => 9
[2,6,4,3,5,7,1] => [7,2,4,6,3,5,1] => ([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 14
[2,6,4,5,1,3,7] => [5,2,1,6,4,3,7] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 8
[2,6,4,5,1,7,3] => [7,2,5,6,4,1,3] => ([(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 15
[2,6,4,5,3,1,7] => [3,2,5,6,4,1,7] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 8
[2,6,4,5,3,7,1] => [7,2,5,6,4,3,1] => ([(2,4),(2,5),(2,6),(6,3)],7) => 16
[2,6,4,7,5,3,1] => [3,2,5,7,6,4,1] => ([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 11
[2,6,5,1,3,4,7] => [5,2,1,3,6,4,7] => ([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7) => 6
[2,6,5,1,3,7,4] => [7,2,1,5,6,3,4] => ([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 11
[2,6,5,1,7,4,3] => [4,2,7,5,6,1,3] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 12
[2,6,5,3,1,4,7] => [3,2,5,1,6,4,7] => ([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7) => 6
[2,6,5,3,1,7,4] => [3,2,7,5,6,1,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7) => 11
[2,6,5,3,4,7,1] => [7,2,5,3,6,4,1] => ([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 14
[2,6,5,4,1,3,7] => [4,2,1,5,6,3,7] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7) => 6
[2,6,5,4,1,7,3] => [7,2,4,5,6,1,3] => ([(1,6),(2,3),(2,6),(3,5),(5,4)],7) => 13
[2,6,5,4,3,1,7] => [3,2,4,5,6,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 6
[2,6,5,7,1,3,4] => [7,2,1,3,6,5,4] => ([(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 10
[2,6,5,7,4,3,1] => [3,2,4,7,6,5,1] => ([(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 10
[2,6,7,1,3,4,5] => [7,2,1,3,4,6,5] => ([(1,6),(2,6),(3,4),(3,5),(6,3)],7) => 8
[2,6,7,1,3,5,4] => [5,2,1,7,3,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7) => 9
[2,6,7,3,1,4,5] => [3,2,7,1,4,6,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 8
[2,6,7,3,1,5,4] => [3,2,5,7,1,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7) => 9
[2,6,7,3,5,4,1] => [4,2,5,7,3,6,1] => ([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7) => 11
[2,6,7,4,1,3,5] => [4,2,1,7,3,6,5] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7) => 8
[2,6,7,4,3,1,5] => [3,2,4,7,1,6,5] => ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 8
[2,6,7,4,5,3,1] => [3,2,5,7,4,6,1] => ([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 10
[2,6,7,5,1,3,4] => [5,2,1,3,7,6,4] => ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 8
[2,6,7,5,3,1,4] => [3,2,5,1,7,6,4] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7) => 8
[2,6,7,5,3,4,1] => [4,2,5,3,7,6,1] => ([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 10
[2,6,7,5,4,1,3] => [4,2,1,5,7,6,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 8
[2,6,7,5,4,3,1] => [3,2,4,5,7,6,1] => ([(1,6),(2,6),(3,4),(3,5),(6,3)],7) => 8
[2,7,1,3,4,5,6] => [7,2,1,3,4,5,6] => ([(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 7
[2,7,1,3,4,6,5] => [6,2,1,3,7,4,5] => ([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7) => 8
[2,7,1,3,5,4,6] => [5,2,1,7,3,4,6] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7) => 8
[2,7,1,3,5,6,4] => [6,2,1,7,3,5,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7) => 10
[2,7,1,3,6,4,5] => [6,2,1,7,3,4,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7) => 9
[2,7,1,3,6,5,4] => [5,2,1,6,7,3,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 9
[2,7,1,4,5,6,3] => [6,2,7,1,4,5,3] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 12
[2,7,1,4,6,3,5] => [6,2,7,1,4,3,5] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 11
[2,7,1,5,3,4,6] => [5,2,7,1,3,4,6] => ([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7) => 9
[2,7,1,5,4,3,6] => [4,2,5,7,1,3,6] => ([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 9
[2,7,1,5,6,3,4] => [6,2,7,1,3,5,4] => ([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7) => 11
[2,7,1,6,3,4,5] => [6,2,7,1,3,4,5] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7) => 10
[2,7,1,6,3,5,4] => [5,2,6,7,1,3,4] => ([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7) => 11
[2,7,1,6,4,5,3] => [5,2,6,7,1,4,3] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7) => 12
[2,7,1,6,5,4,3] => [4,2,5,6,7,1,3] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7) => 10
[2,7,3,1,4,5,6] => [3,2,7,1,4,5,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 7
[2,7,3,1,4,6,5] => [3,2,6,1,7,4,5] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => 8
[2,7,3,1,5,4,6] => [3,2,5,7,1,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7) => 8
[2,7,3,1,6,4,5] => [3,2,6,7,1,4,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 9
[2,7,3,1,6,5,4] => [3,2,5,6,7,1,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7) => 9
[2,7,3,4,5,6,1] => [6,2,7,3,4,5,1] => ([(1,6),(2,3),(2,6),(3,5),(5,4)],7) => 13
[2,7,3,4,6,5,1] => [5,2,6,3,7,4,1] => ([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => 12
[2,7,3,6,4,5,1] => [5,2,6,7,3,4,1] => ([(1,6),(2,3),(2,6),(3,5),(6,4)],7) => 13
[2,7,4,1,3,5,6] => [4,2,1,7,3,5,6] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7) => 7
[2,7,4,1,3,6,5] => [4,2,1,6,7,3,5] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => 8
[2,7,4,3,1,5,6] => [3,2,4,7,1,5,6] => ([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7) => 7
[2,7,4,3,1,6,5] => [3,2,4,6,7,1,5] => ([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7) => 8
[2,7,4,5,3,1,6] => [3,2,5,7,4,1,6] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7) => 9
[2,7,4,5,3,6,1] => [6,2,5,7,4,3,1] => ([(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 15
[2,7,4,5,6,1,3] => [6,2,1,7,4,5,3] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7) => 11
[2,7,4,5,6,3,1] => [3,2,6,7,4,5,1] => ([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 11
[2,7,4,6,1,3,5] => [6,2,1,7,4,3,5] => ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => 10
[2,7,4,6,3,1,5] => [3,2,6,7,4,1,5] => ([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => 10
[2,7,4,6,3,5,1] => [5,2,6,7,4,3,1] => ([(1,6),(2,3),(2,4),(2,6),(6,5)],7) => 14
[2,7,4,6,5,1,3] => [5,2,1,6,7,4,3] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 10
[2,7,4,6,5,3,1] => [3,2,5,6,7,4,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 10
[2,7,5,1,3,4,6] => [5,2,1,3,7,4,6] => ([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7) => 7
[2,7,5,1,3,6,4] => [6,2,1,5,7,3,4] => ([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => 10
[2,7,5,1,6,4,3] => [4,2,6,5,7,1,3] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 11
[2,7,5,3,1,4,6] => [3,2,5,1,7,4,6] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => 7
[2,7,5,3,1,6,4] => [3,2,6,5,7,1,4] => ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => 10
[2,7,5,4,1,3,6] => [4,2,1,5,7,3,6] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 7
[2,7,5,4,3,1,6] => [3,2,4,5,7,1,6] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7) => 7
[2,7,5,6,1,3,4] => [6,2,1,3,7,5,4] => ([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7) => 9
[2,7,5,6,4,3,1] => [3,2,4,6,7,5,1] => ([(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 9
[2,7,6,1,3,4,5] => [6,2,1,3,4,7,5] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7) => 7
[2,7,6,1,3,5,4] => [5,2,1,6,3,7,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7) => 8
[2,7,6,1,4,5,3] => [5,2,6,1,4,7,3] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 10
[2,7,6,1,5,3,4] => [5,2,6,1,3,7,4] => ([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 9
[2,7,6,1,5,4,3] => [4,2,5,6,1,7,3] => ([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7) => 9
[2,7,6,3,1,4,5] => [3,2,6,1,4,7,5] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 7
[2,7,6,3,1,5,4] => [3,2,5,6,1,7,4] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7) => 8
[2,7,6,3,4,5,1] => [5,2,6,3,4,7,1] => ([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => 11
[2,7,6,4,1,3,5] => [4,2,1,6,3,7,5] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => 7
[2,7,6,4,3,1,5] => [3,2,4,6,1,7,5] => ([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7) => 7
[2,7,6,4,5,1,3] => [5,2,1,6,4,7,3] => ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => 9
[2,7,6,4,5,3,1] => [3,2,5,6,4,7,1] => ([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 9
[2,7,6,5,1,3,4] => [5,2,1,3,6,7,4] => ([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7) => 7
[2,7,6,5,3,1,4] => [3,2,5,1,6,7,4] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7) => 7
[2,7,6,5,3,4,1] => [4,2,5,3,6,7,1] => ([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7) => 9
[2,7,6,5,4,1,3] => [4,2,1,5,6,7,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 7
[2,7,6,5,4,3,1] => [3,2,4,5,6,7,1] => ([(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 7
[3,1,2,4,6,5,7] => [3,1,2,4,6,5,7] => ([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 3
[3,1,2,6,5,7,4] => [3,1,2,7,6,5,4] => ([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 8
[3,1,4,2,5,6,7] => [4,3,1,2,5,6,7] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => 5
[3,1,4,2,5,7,6] => [4,3,1,2,5,7,6] => ([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7) => 6
[3,1,4,2,6,5,7] => [4,3,1,2,6,5,7] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => 6
[3,1,4,2,7,5,6] => [4,3,1,2,7,5,6] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => 7
[3,1,4,2,7,6,5] => [4,3,1,2,6,7,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => 7
[3,1,4,5,6,2,7] => [6,3,1,4,5,2,7] => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7) => 9
[3,1,4,5,7,6,2] => [6,3,1,4,5,7,2] => ([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7) => 10
[3,1,4,6,2,7,5] => [7,3,1,4,6,2,5] => ([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7) => 11
[3,1,4,6,5,7,2] => [7,3,1,4,6,5,2] => ([(1,6),(2,3),(2,6),(6,4),(6,5)],7) => 12
[3,1,4,6,7,2,5] => [7,3,1,4,2,6,5] => ([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 10
[3,1,4,7,2,5,6] => [7,3,1,4,2,5,6] => ([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7) => 9
[3,1,5,4,2,6,7] => [4,3,1,5,2,6,7] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7) => 6
[3,1,5,4,2,7,6] => [4,3,1,5,2,7,6] => ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 7
[3,1,5,6,4,2,7] => [4,3,1,6,5,2,7] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 8
[3,1,5,6,7,4,2] => [4,3,1,7,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 10
[3,1,5,7,4,2,6] => [4,3,1,7,5,2,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => 9
[3,1,5,7,6,4,2] => [4,3,1,6,5,7,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7) => 9
[3,1,6,2,4,5,7] => [6,3,1,2,4,5,7] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 7
[3,1,6,4,2,5,7] => [4,3,1,6,2,5,7] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7) => 7
[3,1,6,5,4,2,7] => [4,3,1,5,6,2,7] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7) => 7
[3,1,6,7,5,4,2] => [4,3,1,5,7,6,2] => ([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7) => 9
[3,1,7,4,2,5,6] => [4,3,1,7,2,5,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7) => 8
[3,1,7,4,2,6,5] => [4,3,1,6,7,2,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7) => 9
[3,1,7,5,4,2,6] => [4,3,1,5,7,2,6] => ([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 8
[3,1,7,5,6,4,2] => [4,3,1,6,7,5,2] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 10
[3,1,7,6,4,2,5] => [4,3,1,6,2,7,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7) => 8
[3,1,7,6,5,4,2] => [4,3,1,5,6,7,2] => ([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7) => 8
[3,2,1,4,6,5,7] => [2,3,1,4,6,5,7] => ([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 3
[3,2,1,6,5,7,4] => [2,3,1,7,6,5,4] => ([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 8
[3,2,4,1,5,6,7] => [4,3,2,1,5,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 6
[3,2,4,1,5,7,6] => [4,3,2,1,5,7,6] => ([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 7
[3,2,4,1,6,5,7] => [4,3,2,1,6,5,7] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 7
[3,2,4,1,6,7,5] => [4,3,2,1,7,6,5] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 9
[3,2,4,1,7,5,6] => [4,3,2,1,7,5,6] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 8
[3,2,4,1,7,6,5] => [4,3,2,1,6,7,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 8
[3,2,4,5,1,6,7] => [5,3,2,4,1,6,7] => ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 8
[3,2,4,5,1,7,6] => [5,3,2,4,1,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 9
[3,2,4,5,6,1,7] => [6,3,2,4,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 10
[3,2,4,5,6,7,1] => [7,3,2,4,5,6,1] => ([(2,6),(3,6),(4,5),(6,4)],7) => 12
[3,2,4,5,7,1,6] => [7,3,2,4,5,1,6] => ([(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 11
[3,2,4,5,7,6,1] => [6,3,2,4,5,7,1] => ([(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 11
[3,2,4,6,1,5,7] => [6,3,2,4,1,5,7] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 9
[3,2,4,6,1,7,5] => [7,3,2,4,6,1,5] => ([(1,6),(2,6),(3,5),(6,4),(6,5)],7) => 12
[3,2,4,6,5,1,7] => [5,3,2,4,6,1,7] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 9
[3,2,4,6,5,7,1] => [7,3,2,4,6,5,1] => ([(2,6),(3,6),(6,4),(6,5)],7) => 13
[3,2,4,6,7,1,5] => [7,3,2,4,1,6,5] => ([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 11
[3,2,4,6,7,5,1] => [5,3,2,4,7,6,1] => ([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 11
[3,2,4,7,1,5,6] => [7,3,2,4,1,5,6] => ([(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 10
[3,2,4,7,1,6,5] => [6,3,2,4,7,1,5] => ([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => 11
[3,2,4,7,5,1,6] => [5,3,2,4,7,1,6] => ([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 10
[3,2,4,7,5,6,1] => [6,3,2,4,7,5,1] => ([(1,6),(2,6),(3,5),(6,4),(6,5)],7) => 12
[3,2,4,7,6,1,5] => [6,3,2,4,1,7,5] => ([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 10
[3,2,4,7,6,5,1] => [5,3,2,4,6,7,1] => ([(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 10
[3,2,5,1,4,6,7] => [5,3,2,1,4,6,7] => ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => 7
[3,2,5,1,4,7,6] => [5,3,2,1,4,7,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 8
[3,2,5,1,6,4,7] => [6,3,2,5,1,4,7] => ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 10
[3,2,5,1,6,7,4] => [7,3,2,5,1,6,4] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 12
[3,2,5,1,7,4,6] => [7,3,2,5,1,4,6] => ([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 11
[3,2,5,1,7,6,4] => [6,3,2,5,1,7,4] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => 11
[3,2,5,4,1,6,7] => [4,3,2,5,1,6,7] => ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => 7
[3,2,5,4,1,7,6] => [4,3,2,5,1,7,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 8
[3,2,5,4,6,1,7] => [6,3,2,5,4,1,7] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 11
[3,2,5,4,6,7,1] => [7,3,2,5,4,6,1] => ([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 13
[3,2,5,4,7,1,6] => [7,3,2,5,4,1,6] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 12
[3,2,5,4,7,6,1] => [6,3,2,5,4,7,1] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 12
[3,2,5,6,1,4,7] => [6,3,2,1,5,4,7] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 9
[3,2,5,6,1,7,4] => [7,3,2,6,5,1,4] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 14
[3,2,5,6,4,1,7] => [4,3,2,6,5,1,7] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 9
[3,2,5,6,7,1,4] => [7,3,2,1,5,6,4] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 11
[3,2,5,6,7,4,1] => [4,3,2,7,5,6,1] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 11
[3,2,5,7,1,4,6] => [7,3,2,1,5,4,6] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 10
[3,2,5,7,1,6,4] => [6,3,2,7,5,1,4] => ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 13
[3,2,5,7,4,1,6] => [4,3,2,7,5,1,6] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 10
[3,2,5,7,4,6,1] => [6,3,2,7,5,4,1] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 14
[3,2,5,7,6,1,4] => [6,3,2,1,5,7,4] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 10
[3,2,5,7,6,4,1] => [4,3,2,6,5,7,1] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 10
[3,2,6,1,4,5,7] => [6,3,2,1,4,5,7] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7) => 8
[3,2,6,1,4,7,5] => [7,3,2,1,6,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 11
[3,2,6,1,5,4,7] => [5,3,2,6,1,4,7] => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 9
[3,2,6,1,7,4,5] => [7,3,2,6,1,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 12
[3,2,6,1,7,5,4] => [5,3,2,7,6,1,4] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 12
[3,2,6,4,1,5,7] => [4,3,2,6,1,5,7] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 8
[3,2,6,4,1,7,5] => [4,3,2,7,6,1,5] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 11
[3,2,6,4,5,1,7] => [5,3,2,6,4,1,7] => ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 10
[3,2,6,4,5,7,1] => [7,3,2,6,4,5,1] => ([(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 14
[3,2,6,4,7,1,5] => [7,3,2,6,4,1,5] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 13
[3,2,6,5,1,4,7] => [5,3,2,1,6,4,7] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 8
[3,2,6,5,1,7,4] => [7,3,2,5,6,1,4] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 13
[3,2,6,5,4,1,7] => [4,3,2,5,6,1,7] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7) => 8
[3,2,6,5,4,7,1] => [7,3,2,5,6,4,1] => ([(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 14
[3,2,6,7,1,4,5] => [7,3,2,1,4,6,5] => ([(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 10
[3,2,6,7,1,5,4] => [5,3,2,7,1,6,4] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 11
[3,2,6,7,4,1,5] => [4,3,2,7,1,6,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 10
[3,2,6,7,4,5,1] => [5,3,2,7,4,6,1] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 12
[3,2,6,7,5,1,4] => [5,3,2,1,7,6,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 10
[3,2,6,7,5,4,1] => [4,3,2,5,7,6,1] => ([(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 10
[3,2,7,1,4,5,6] => [7,3,2,1,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 9
[3,2,7,1,4,6,5] => [6,3,2,1,7,4,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 10
[3,2,7,1,5,4,6] => [5,3,2,7,1,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7) => 10
[3,2,7,1,5,6,4] => [6,3,2,7,1,5,4] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 12
[3,2,7,1,6,4,5] => [6,3,2,7,1,4,5] => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 11
[3,2,7,1,6,5,4] => [5,3,2,6,7,1,4] => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 11
[3,2,7,4,1,5,6] => [4,3,2,7,1,5,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 9
[3,2,7,4,1,6,5] => [4,3,2,6,7,1,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 10
[3,2,7,4,5,1,6] => [5,3,2,7,4,1,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => 11
[3,2,7,4,5,6,1] => [6,3,2,7,4,5,1] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 13
[3,2,7,4,6,1,5] => [6,3,2,7,4,1,5] => ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 12
[3,2,7,4,6,5,1] => [5,3,2,6,7,4,1] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 12
[3,2,7,5,1,4,6] => [5,3,2,1,7,4,6] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7) => 9
[3,2,7,5,1,6,4] => [6,3,2,5,7,1,4] => ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 12
[3,2,7,5,4,1,6] => [4,3,2,5,7,1,6] => ([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7) => 9
[3,2,7,5,4,6,1] => [6,3,2,5,7,4,1] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 13
[3,2,7,5,6,1,4] => [6,3,2,1,7,5,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 11
[3,2,7,5,6,4,1] => [4,3,2,6,7,5,1] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 11
[3,2,7,6,1,4,5] => [6,3,2,1,4,7,5] => ([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7) => 9
[3,2,7,6,1,5,4] => [5,3,2,6,1,7,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7) => 10
[3,2,7,6,4,1,5] => [4,3,2,6,1,7,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7) => 9
[3,2,7,6,4,5,1] => [5,3,2,6,4,7,1] => ([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 11
[3,2,7,6,5,1,4] => [5,3,2,1,6,7,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 9
[3,2,7,6,5,4,1] => [4,3,2,5,6,7,1] => ([(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 9
[3,4,1,5,2,6,7] => [5,4,3,1,2,6,7] => ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 9
[3,4,1,5,2,7,6] => [5,4,3,1,2,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 10
[3,4,1,5,6,2,7] => [6,4,3,1,5,2,7] => ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 11
[3,4,1,5,6,7,2] => [7,4,3,1,5,6,2] => ([(1,6),(2,6),(3,4),(3,6),(6,5)],7) => 13
[3,4,1,5,7,2,6] => [7,4,3,1,5,2,6] => ([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 12
[3,4,1,5,7,6,2] => [6,4,3,1,5,7,2] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => 12
[3,4,1,6,2,5,7] => [6,4,3,1,2,5,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => 10
[3,4,1,6,2,7,5] => [7,4,3,1,6,2,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 13
[3,4,1,6,5,2,7] => [5,4,3,1,6,2,7] => ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 10
[3,4,1,6,5,7,2] => [7,4,3,1,6,5,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 14
[3,4,1,6,7,2,5] => [7,4,3,1,2,6,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 12
[3,4,1,6,7,5,2] => [5,4,3,1,7,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 12
[3,4,1,7,2,5,6] => [7,4,3,1,2,5,6] => ([(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 11
[3,4,1,7,2,6,5] => [6,4,3,1,7,2,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => 12
[3,4,1,7,5,2,6] => [5,4,3,1,7,2,6] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 11
[3,4,1,7,5,6,2] => [6,4,3,1,7,5,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 13
[3,4,1,7,6,2,5] => [6,4,3,1,2,7,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 11
[3,4,1,7,6,5,2] => [5,4,3,1,6,7,2] => ([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7) => 11
[3,4,2,5,1,6,7] => [5,4,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 10
[3,4,2,5,1,7,6] => [5,4,3,2,1,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 11
[3,4,2,5,6,1,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 12
[3,4,2,5,6,7,1] => [7,4,3,2,5,6,1] => ([(2,6),(3,6),(4,6),(6,5)],7) => 14
[3,4,2,5,7,1,6] => [7,4,3,2,5,1,6] => ([(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 13
[3,4,2,5,7,6,1] => [6,4,3,2,5,7,1] => ([(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 13
[3,4,2,6,1,5,7] => [6,4,3,2,1,5,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 11
[3,4,2,6,1,7,5] => [7,4,3,2,6,1,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 14
[3,4,2,6,5,1,7] => [5,4,3,2,6,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 11
[3,4,2,6,5,7,1] => [7,4,3,2,6,5,1] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 15
[3,4,2,6,7,1,5] => [7,4,3,2,1,6,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 13
[3,4,2,6,7,5,1] => [5,4,3,2,7,6,1] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 13
[3,4,2,7,1,5,6] => [7,4,3,2,1,5,6] => ([(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 12
[3,4,2,7,1,6,5] => [6,4,3,2,7,1,5] => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 13
[3,4,2,7,5,1,6] => [5,4,3,2,7,1,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 12
[3,4,2,7,5,6,1] => [6,4,3,2,7,5,1] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 14
[3,4,2,7,6,1,5] => [6,4,3,2,1,7,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 12
[3,4,2,7,6,5,1] => [5,4,3,2,6,7,1] => ([(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 12
[3,4,5,1,2,7,6] => [5,1,3,4,2,7,6] => ([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => 7
[3,4,5,1,6,2,7] => [6,5,3,4,1,2,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 13
[3,4,5,1,7,6,2] => [6,5,3,4,1,7,2] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7) => 14
[3,4,5,2,1,7,6] => [2,5,3,4,1,7,6] => ([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => 7
[3,4,5,2,6,1,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 14
[3,4,5,2,6,7,1] => [7,5,3,4,2,6,1] => ([(2,6),(3,6),(4,5),(5,6)],7) => 16
[3,4,5,2,7,1,6] => [7,5,3,4,2,1,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 15
[3,4,5,2,7,6,1] => [6,5,3,4,2,7,1] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 15
[3,4,5,6,2,7,1] => [7,6,3,4,5,2,1] => ([(4,5),(5,6)],7) => 18
[3,4,6,2,1,5,7] => [2,6,3,4,1,5,7] => ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7) => 7
[3,4,6,2,5,1,7] => [5,6,3,4,2,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 13
[3,4,6,2,7,1,5] => [7,6,3,4,2,1,5] => ([(2,6),(3,6),(4,5),(5,6)],7) => 16
[3,4,6,5,1,2,7] => [5,1,3,4,6,2,7] => ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7) => 7
[3,4,6,7,2,1,5] => [2,7,3,4,1,6,5] => ([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7) => 9
[3,4,6,7,5,1,2] => [5,1,3,4,7,6,2] => ([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7) => 9
[3,4,7,1,2,5,6] => [7,1,3,4,2,5,6] => ([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7) => 8
[3,4,7,2,5,1,6] => [5,7,3,4,2,1,6] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7) => 14
[3,4,7,2,6,1,5] => [6,7,3,4,2,1,5] => ([(0,6),(1,6),(2,4),(3,5),(5,6)],7) => 15
[3,4,7,5,1,2,6] => [5,1,3,4,7,2,6] => ([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7) => 8
[3,4,7,5,1,6,2] => [6,5,3,4,7,1,2] => ([(0,6),(1,6),(2,4),(3,5),(5,6)],7) => 15
[3,4,7,5,2,6,1] => [6,5,3,4,7,2,1] => ([(2,6),(3,6),(4,5),(5,6)],7) => 16
[3,4,7,6,2,1,5] => [2,6,3,4,1,7,5] => ([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7) => 8
[3,4,7,6,5,2,1] => [2,5,3,4,6,7,1] => ([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7) => 8
[3,5,1,2,6,4,7] => [6,1,3,5,2,4,7] => ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => 8
[3,5,1,2,7,6,4] => [6,1,3,5,2,7,4] => ([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7) => 9
[3,5,1,4,6,2,7] => [6,5,3,1,4,2,7] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 12
[3,5,1,4,7,6,2] => [6,5,3,1,4,7,2] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7) => 13
[3,5,1,6,2,4,7] => [6,5,3,1,2,4,7] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => 11
[3,5,1,7,6,2,4] => [6,5,3,1,2,7,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 12
[3,5,2,4,1,6,7] => [4,5,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 9
[3,5,2,4,1,7,6] => [4,5,3,2,1,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 10
[3,5,2,4,6,1,7] => [6,5,3,2,4,1,7] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 13
[3,5,2,4,6,7,1] => [7,5,3,2,4,6,1] => ([(2,6),(3,5),(4,5),(5,6)],7) => 15
[3,5,2,4,7,1,6] => [7,5,3,2,4,1,6] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 14
[3,5,2,4,7,6,1] => [6,5,3,2,4,7,1] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 14
[3,5,2,6,1,4,7] => [6,5,3,2,1,4,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 12
[3,5,2,6,1,7,4] => [7,6,3,5,2,1,4] => ([(2,6),(3,6),(4,5),(4,6)],7) => 17
[3,5,2,6,4,1,7] => [4,6,3,5,2,1,7] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 12
[3,5,2,6,4,7,1] => [7,6,3,5,2,4,1] => ([(3,6),(4,5),(4,6)],7) => 18
[3,5,2,6,7,1,4] => [7,5,3,2,1,6,4] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 14
[3,5,2,7,1,4,6] => [7,5,3,2,1,4,6] => ([(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 13
[3,5,2,7,1,6,4] => [6,7,3,5,2,1,4] => ([(0,6),(1,6),(2,5),(3,4),(3,6)],7) => 16
[3,5,2,7,4,1,6] => [4,7,3,5,2,1,6] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7) => 13
[3,5,2,7,6,1,4] => [6,5,3,2,1,7,4] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 13
[3,5,4,1,6,2,7] => [6,4,3,5,1,2,7] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 12
[3,5,4,1,6,7,2] => [7,4,3,5,1,6,2] => ([(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 14
[3,5,4,1,7,2,6] => [7,4,3,5,1,2,6] => ([(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 13
[3,5,4,1,7,6,2] => [6,4,3,5,1,7,2] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 13
[3,5,4,2,6,1,7] => [6,4,3,5,2,1,7] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 13
[3,5,4,2,6,7,1] => [7,4,3,5,2,6,1] => ([(2,6),(3,5),(4,5),(5,6)],7) => 15
[3,5,4,2,7,1,6] => [7,4,3,5,2,1,6] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 14
[3,5,4,2,7,6,1] => [6,4,3,5,2,7,1] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 14
[3,5,4,6,1,2,7] => [6,1,3,5,4,2,7] => ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 9
[3,5,4,6,1,7,2] => [7,6,3,5,4,1,2] => ([(2,6),(3,4),(3,5)],7) => 18
[3,5,4,6,2,1,7] => [2,6,3,5,4,1,7] => ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 9
[3,5,4,6,2,7,1] => [7,6,3,5,4,2,1] => ([(4,5),(4,6)],7) => 19
[3,5,4,7,2,1,6] => [2,7,3,5,4,1,6] => ([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7) => 10
[3,5,4,7,2,6,1] => [6,7,3,5,4,2,1] => ([(2,6),(3,4),(3,5)],7) => 18
[3,5,4,7,6,1,2] => [6,1,3,5,4,7,2] => ([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7) => 10
[3,5,6,1,2,7,4] => [7,1,3,6,5,2,4] => ([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => 12
[3,5,6,2,4,1,7] => [4,6,3,2,5,1,7] => ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 11
[3,5,6,2,4,7,1] => [7,6,3,2,5,4,1] => ([(3,5),(3,6),(4,5),(4,6)],7) => 17
[3,5,6,2,7,1,4] => [7,6,3,2,5,1,4] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 16
[3,5,6,4,1,7,2] => [7,4,3,6,5,1,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 16
[3,5,6,4,2,7,1] => [7,4,3,6,5,2,1] => ([(3,5),(3,6),(4,5),(4,6)],7) => 17
[3,5,6,4,7,1,2] => [7,1,3,6,5,4,2] => ([(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 13
[3,5,6,4,7,2,1] => [2,7,3,6,5,4,1] => ([(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 13
[3,5,6,7,1,2,4] => [7,1,3,2,5,6,4] => ([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => 9
[3,5,6,7,2,4,1] => [4,7,3,2,5,6,1] => ([(1,6),(2,6),(3,4),(3,6),(6,5)],7) => 13
[3,5,6,7,4,2,1] => [2,4,3,7,5,6,1] => ([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => 9
[3,5,7,1,2,4,6] => [7,1,3,2,5,4,6] => ([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 8
[3,5,7,2,4,1,6] => [4,7,3,2,5,1,6] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => 12
[3,5,7,2,4,6,1] => [6,7,3,2,5,4,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 16
[3,5,7,2,6,1,4] => [6,7,3,2,5,1,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 15
[3,5,7,4,1,6,2] => [6,4,3,7,5,1,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 15
[3,5,7,4,2,6,1] => [6,4,3,7,5,2,1] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 16
[3,5,7,4,6,2,1] => [2,6,3,7,5,4,1] => ([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => 12
[3,5,7,6,2,4,1] => [4,6,3,2,5,7,1] => ([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 12
[3,5,7,6,4,2,1] => [2,4,3,6,5,7,1] => ([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 8
[3,6,1,2,4,5,7] => [6,1,3,2,4,5,7] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7) => 6
[3,6,1,2,4,7,5] => [7,1,3,2,6,4,5] => ([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => 9
[3,6,1,2,5,7,4] => [7,1,3,6,2,5,4] => ([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => 11
[3,6,1,2,7,4,5] => [7,1,3,6,2,4,5] => ([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7) => 10
[3,6,1,4,5,7,2] => [7,6,3,1,4,5,2] => ([(2,6),(3,4),(3,6),(6,5)],7) => 15
[3,6,1,4,7,2,5] => [7,6,3,1,4,2,5] => ([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 14
[3,6,2,4,1,5,7] => [4,6,3,2,1,5,7] => ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 10
[3,6,2,4,1,7,5] => [4,7,3,2,6,1,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 13
[3,6,2,4,5,1,7] => [5,6,3,2,4,1,7] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 12
[3,6,2,4,5,7,1] => [7,6,3,2,4,5,1] => ([(3,6),(4,6),(6,5)],7) => 16
[3,6,2,4,7,1,5] => [7,6,3,2,4,1,5] => ([(2,6),(3,5),(4,5),(5,6)],7) => 15
[3,6,2,4,7,5,1] => [5,7,3,2,6,4,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 15
[3,6,2,5,1,4,7] => [5,6,3,2,1,4,7] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7) => 11
[3,6,2,5,1,7,4] => [7,5,3,6,2,1,4] => ([(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 16
[3,6,2,5,4,1,7] => [4,5,3,6,2,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => 11
[3,6,2,5,4,7,1] => [7,5,3,6,2,4,1] => ([(2,6),(3,5),(4,5),(4,6)],7) => 17
[3,6,2,5,7,1,4] => [7,6,3,2,1,5,4] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 15
[3,6,2,7,1,4,5] => [7,6,3,2,1,4,5] => ([(2,6),(3,6),(4,6),(6,5)],7) => 14
[3,6,2,7,1,5,4] => [5,7,3,6,2,1,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7) => 15
[3,6,2,7,4,1,5] => [4,7,3,6,2,1,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 14
[3,6,2,7,5,1,4] => [5,7,3,2,6,1,4] => ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 14
[3,6,4,1,5,2,7] => [5,4,3,6,1,2,7] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7) => 11
[3,6,4,1,5,7,2] => [7,4,3,6,1,5,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 15
[3,6,4,1,7,2,5] => [7,4,3,6,1,2,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 14
[3,6,4,1,7,5,2] => [5,4,3,7,6,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 14
[3,6,4,2,5,1,7] => [5,4,3,6,2,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 12
[3,6,4,2,5,7,1] => [7,4,3,6,2,5,1] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 16
[3,6,4,2,7,1,5] => [7,4,3,6,2,1,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 15
[3,6,4,2,7,5,1] => [5,4,3,7,6,2,1] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 15
[3,6,4,5,2,1,7] => [2,5,3,6,4,1,7] => ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => 8
[3,6,4,5,2,7,1] => [7,5,3,6,4,2,1] => ([(3,6),(4,5),(4,6)],7) => 18
[3,6,4,7,2,1,5] => [2,7,3,6,4,1,5] => ([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7) => 11
[3,6,4,7,5,2,1] => [2,5,3,7,6,4,1] => ([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => 11
[3,6,5,2,4,1,7] => [4,5,3,2,6,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => 10
[3,6,5,2,4,7,1] => [7,5,3,2,6,4,1] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 16
[3,6,5,2,7,1,4] => [7,5,3,2,6,1,4] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 15
[3,6,5,2,7,4,1] => [4,7,3,5,6,2,1] => ([(2,6),(3,4),(3,6),(6,5)],7) => 15
[3,6,5,4,1,7,2] => [7,4,3,5,6,1,2] => ([(1,6),(2,6),(3,4),(6,5)],7) => 15
[3,6,5,4,2,1,7] => [2,4,3,5,6,1,7] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7) => 6
[3,6,5,4,2,7,1] => [7,4,3,5,6,2,1] => ([(3,6),(4,6),(6,5)],7) => 16
[3,6,5,7,1,2,4] => [7,1,3,2,6,5,4] => ([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 10
[3,6,5,7,2,4,1] => [4,7,3,2,6,5,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 14
[3,6,5,7,4,2,1] => [2,4,3,7,6,5,1] => ([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 10
[3,6,7,1,2,4,5] => [7,1,3,2,4,6,5] => ([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7) => 8
[3,6,7,2,4,1,5] => [4,7,3,2,1,6,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 12
[3,6,7,2,4,5,1] => [5,7,3,2,4,6,1] => ([(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 14
[3,6,7,2,5,1,4] => [5,7,3,2,1,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 13
[3,6,7,4,1,5,2] => [5,4,3,7,1,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 13
[3,6,7,4,2,5,1] => [5,4,3,7,2,6,1] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 14
[3,6,7,5,2,4,1] => [4,5,3,2,7,6,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 12
[3,6,7,5,4,2,1] => [2,4,3,5,7,6,1] => ([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7) => 8
[3,7,1,5,2,6,4] => [6,5,3,7,1,2,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7) => 14
[3,7,1,5,4,6,2] => [6,5,3,7,1,4,2] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7) => 15
[3,7,2,4,1,5,6] => [4,7,3,2,1,5,6] => ([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7) => 11
[3,7,2,4,1,6,5] => [4,6,3,2,7,1,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => 12
[3,7,2,4,5,1,6] => [5,7,3,2,4,1,6] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 13
[3,7,2,4,5,6,1] => [6,7,3,2,4,5,1] => ([(1,6),(2,6),(3,4),(6,5)],7) => 15
[3,7,2,4,6,1,5] => [6,7,3,2,4,1,5] => ([(0,6),(1,5),(2,5),(3,4),(5,6)],7) => 14
[3,7,2,4,6,5,1] => [5,6,3,2,7,4,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 14
[3,7,2,5,1,4,6] => [5,7,3,2,1,4,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7) => 12
[3,7,2,5,1,6,4] => [6,5,3,7,2,1,4] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 15
[3,7,2,5,4,1,6] => [4,5,3,7,2,1,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 12
[3,7,2,5,4,6,1] => [6,5,3,7,2,4,1] => ([(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 16
[3,7,2,5,6,1,4] => [6,7,3,2,1,5,4] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 14
[3,7,2,6,1,4,5] => [6,7,3,2,1,4,5] => ([(0,6),(1,6),(2,6),(3,4),(6,5)],7) => 13
[3,7,2,6,1,5,4] => [5,6,3,7,2,1,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7) => 14
[3,7,2,6,4,1,5] => [4,6,3,7,2,1,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => 13
[3,7,2,6,5,1,4] => [5,6,3,2,7,1,4] => ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 13
[3,7,4,1,5,2,6] => [5,4,3,7,1,2,6] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 12
[3,7,4,1,5,6,2] => [6,4,3,7,1,5,2] => ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 14
[3,7,4,1,6,2,5] => [6,4,3,7,1,2,5] => ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 13
[3,7,4,1,6,5,2] => [5,4,3,6,7,1,2] => ([(0,6),(1,6),(2,6),(3,4),(6,5)],7) => 13
[3,7,4,2,5,1,6] => [5,4,3,7,2,1,6] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 13
[3,7,4,2,5,6,1] => [6,4,3,7,2,5,1] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 15
[3,7,4,2,6,1,5] => [6,4,3,7,2,1,5] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 14
[3,7,4,2,6,5,1] => [5,4,3,6,7,2,1] => ([(2,6),(3,6),(4,6),(6,5)],7) => 14
[3,7,4,5,1,6,2] => [6,5,3,7,4,1,2] => ([(0,6),(1,6),(2,5),(3,4),(3,6)],7) => 16
[3,7,4,5,2,1,6] => [2,5,3,7,4,1,6] => ([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7) => 9
[3,7,4,5,2,6,1] => [6,5,3,7,4,2,1] => ([(2,6),(3,6),(4,5),(4,6)],7) => 17
[3,7,4,6,2,1,5] => [2,6,3,7,4,1,5] => ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7) => 10
[3,7,4,6,5,2,1] => [2,5,3,6,7,4,1] => ([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7) => 10
[3,7,5,1,2,6,4] => [6,1,3,5,7,2,4] => ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7) => 10
[3,7,5,1,4,6,2] => [6,5,3,1,7,4,2] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 14
[3,7,5,1,6,2,4] => [6,5,3,1,7,2,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => 13
[3,7,5,2,4,1,6] => [4,5,3,2,7,1,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 11
[3,7,5,2,4,6,1] => [6,5,3,2,7,4,1] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 15
[3,7,5,2,6,1,4] => [6,5,3,2,7,1,4] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 14
[3,7,5,2,6,4,1] => [4,6,3,5,7,2,1] => ([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 14
[3,7,5,4,1,6,2] => [6,4,3,5,7,1,2] => ([(0,6),(1,5),(2,5),(3,4),(5,6)],7) => 14
[3,7,5,4,2,6,1] => [6,4,3,5,7,2,1] => ([(2,6),(3,5),(4,5),(5,6)],7) => 15
[3,7,5,4,6,1,2] => [6,1,3,5,7,4,2] => ([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7) => 11
[3,7,5,6,2,4,1] => [4,6,3,2,7,5,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 13
[3,7,5,6,4,2,1] => [2,4,3,6,7,5,1] => ([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => 9
[3,7,6,2,4,1,5] => [4,6,3,2,1,7,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 11
[3,7,6,2,4,5,1] => [5,6,3,2,4,7,1] => ([(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 13
[3,7,6,2,5,1,4] => [5,6,3,2,1,7,4] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 12
[3,7,6,4,1,5,2] => [5,4,3,6,1,7,2] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7) => 12
[3,7,6,4,2,5,1] => [5,4,3,6,2,7,1] => ([(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 13
[3,7,6,5,2,4,1] => [4,5,3,2,6,7,1] => ([(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 11
[4,1,2,5,3,7,6] => [5,1,4,2,3,7,6] => ([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => 7
[4,1,2,5,6,3,7] => [6,1,4,2,5,3,7] => ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => 8
[4,1,2,5,6,7,3] => [7,1,4,2,5,6,3] => ([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7) => 10
[4,1,2,6,5,7,3] => [7,1,4,2,6,5,3] => ([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => 11
[4,1,2,7,3,5,6] => [7,1,4,2,3,5,6] => ([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7) => 8
[4,1,3,5,2,6,7] => [5,4,1,3,2,6,7] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 8
[4,1,3,5,2,7,6] => [5,4,1,3,2,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 9
[4,1,3,6,5,2,7] => [5,4,1,3,6,2,7] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => 9
[4,1,3,6,7,5,2] => [5,4,1,3,7,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 11
[4,1,3,7,5,2,6] => [5,4,1,3,7,2,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 10
[4,1,3,7,6,5,2] => [5,4,1,3,6,7,2] => ([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7) => 10
[4,1,5,2,3,6,7] => [5,4,1,2,3,6,7] => ([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => 7
[4,1,5,2,3,7,6] => [5,4,1,2,3,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) => 8
[4,1,5,2,6,3,7] => [6,5,4,1,2,3,7] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 12
[4,1,5,2,6,7,3] => [7,5,4,1,2,6,3] => ([(1,6),(2,6),(3,4),(4,5),(4,6)],7) => 14
[4,1,5,2,7,3,6] => [7,5,4,1,2,3,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 13
[4,1,5,2,7,6,3] => [6,5,4,1,2,7,3] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7) => 13
[4,1,5,3,6,2,7] => [6,5,4,1,3,2,7] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 13
[4,1,5,3,6,7,2] => [7,5,4,1,3,6,2] => ([(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 15
[4,1,5,3,7,2,6] => [7,5,4,1,3,2,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 14
[4,1,5,3,7,6,2] => [6,5,4,1,3,7,2] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 14
[4,1,5,6,2,7,3] => [7,6,4,1,5,2,3] => ([(2,6),(3,4),(3,6),(4,5)],7) => 16
[4,1,5,6,3,7,2] => [7,6,4,1,5,3,2] => ([(2,6),(3,4),(3,5),(3,6)],7) => 17
[4,1,6,5,2,3,7] => [5,4,1,2,6,3,7] => ([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7) => 8
[4,1,6,5,2,7,3] => [7,5,4,1,6,2,3] => ([(1,6),(2,6),(3,4),(3,6),(4,5)],7) => 15
[4,1,6,5,3,7,2] => [7,5,4,1,6,3,2] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 16
[4,1,6,7,5,2,3] => [5,4,1,2,7,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => 10
[4,1,7,5,2,3,6] => [5,4,1,2,7,3,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7) => 9
[4,1,7,5,2,6,3] => [6,5,4,1,7,2,3] => ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7) => 14
[4,1,7,5,3,6,2] => [6,5,4,1,7,3,2] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 15
[4,1,7,6,5,2,3] => [5,4,1,2,6,7,3] => ([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7) => 9
[4,2,1,3,5,7,6] => [2,4,1,3,5,7,6] => ([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7) => 4
[4,2,1,3,6,7,5] => [2,4,1,3,7,6,5] => ([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 6
[4,2,1,5,3,6,7] => [2,5,4,1,3,6,7] => ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7) => 6
[4,2,1,5,3,7,6] => [2,5,4,1,3,7,6] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 7
[4,2,1,6,7,3,5] => [2,7,4,1,3,6,5] => ([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7) => 9
[4,2,1,7,3,5,6] => [2,7,4,1,3,5,6] => ([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7) => 8
[4,2,1,7,6,3,5] => [2,6,4,1,3,7,5] => ([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 8
[4,2,3,1,5,6,7] => [3,4,2,1,5,6,7] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => 5
[4,2,3,1,5,7,6] => [3,4,2,1,5,7,6] => ([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7) => 6
[4,2,3,1,6,5,7] => [3,4,2,1,6,5,7] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => 6
[4,2,3,1,7,5,6] => [3,4,2,1,7,5,6] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => 7
[4,2,3,1,7,6,5] => [3,4,2,1,6,7,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => 7
[4,2,3,5,1,6,7] => [5,4,2,3,1,6,7] => ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 9
[4,2,3,5,1,7,6] => [5,4,2,3,1,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 10
[4,2,3,5,6,1,7] => [6,4,2,3,5,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => 11
[4,2,3,6,1,5,7] => [6,4,2,3,1,5,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => 10
[4,2,3,6,5,1,7] => [5,4,2,3,6,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => 10
[4,2,3,6,7,1,5] => [7,4,2,3,1,6,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 12
[4,2,3,6,7,5,1] => [5,4,2,3,7,6,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 12
[4,2,3,7,1,5,6] => [7,4,2,3,1,5,6] => ([(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 11
[4,2,3,7,1,6,5] => [6,4,2,3,7,1,5] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 12
[4,2,3,7,5,1,6] => [5,4,2,3,7,1,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 11
[4,2,3,7,6,1,5] => [6,4,2,3,1,7,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 11
[4,2,3,7,6,5,1] => [5,4,2,3,6,7,1] => ([(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 11
[4,2,5,1,3,6,7] => [5,4,2,1,3,6,7] => ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 8
[4,2,5,1,3,7,6] => [5,4,2,1,3,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 9
[4,2,5,1,6,3,7] => [6,5,4,2,1,3,7] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 13
[4,2,5,1,6,7,3] => [7,5,4,2,1,6,3] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 15
[4,2,5,1,7,3,6] => [7,5,4,2,1,3,6] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 14
[4,2,5,1,7,6,3] => [6,5,4,2,1,7,3] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 14
[4,2,5,3,1,6,7] => [3,5,4,2,1,6,7] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 8
[4,2,5,3,1,7,6] => [3,5,4,2,1,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 9
[4,2,5,3,6,1,7] => [6,5,4,2,3,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 14
[4,2,5,3,6,7,1] => [7,5,4,2,3,6,1] => ([(2,6),(3,6),(4,5),(5,6)],7) => 16
[4,2,5,3,7,1,6] => [7,5,4,2,3,1,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 15
[4,2,5,3,7,6,1] => [6,5,4,2,3,7,1] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 15
[4,2,5,6,1,3,7] => [6,4,2,1,5,3,7] => ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 10
[4,2,5,6,1,7,3] => [7,6,4,2,5,1,3] => ([(2,6),(3,5),(4,5),(4,6)],7) => 17
[4,2,5,6,3,7,1] => [7,6,4,2,5,3,1] => ([(3,6),(4,5),(4,6)],7) => 18
[4,2,5,6,7,1,3] => [7,4,2,1,5,6,3] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 12
[4,2,5,7,1,3,6] => [7,4,2,1,5,3,6] => ([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 11
[4,2,5,7,1,6,3] => [6,7,4,2,5,1,3] => ([(0,6),(1,5),(2,5),(2,6),(3,4)],7) => 16
[4,2,5,7,6,1,3] => [6,4,2,1,5,7,3] => ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7) => 11
[4,2,6,1,3,5,7] => [6,4,2,1,3,5,7] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 9
[4,2,6,1,3,7,5] => [7,4,2,1,6,3,5] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 12
[4,2,6,1,5,3,7] => [5,6,4,2,1,3,7] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 12
[4,2,6,1,5,7,3] => [7,6,4,2,1,5,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 16
[4,2,6,1,7,3,5] => [7,6,4,2,1,3,5] => ([(2,6),(3,5),(4,5),(5,6)],7) => 15
[4,2,6,1,7,5,3] => [5,7,4,2,6,1,3] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7) => 15
[4,2,6,3,1,5,7] => [3,6,4,2,1,5,7] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => 9
[4,2,6,3,5,1,7] => [5,6,4,2,3,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 13
[4,2,6,3,7,1,5] => [7,6,4,2,3,1,5] => ([(2,6),(3,6),(4,5),(5,6)],7) => 16
[4,2,6,5,1,3,7] => [5,4,2,1,6,3,7] => ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 9
[4,2,6,5,1,7,3] => [7,5,4,2,6,1,3] => ([(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 16
[4,2,6,5,3,7,1] => [7,5,4,2,6,3,1] => ([(2,6),(3,6),(4,5),(4,6)],7) => 17
[4,2,6,7,1,3,5] => [7,4,2,1,3,6,5] => ([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 11
[4,2,6,7,1,5,3] => [5,7,4,2,1,6,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 14
[4,2,6,7,3,1,5] => [3,7,4,2,1,6,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 11
[4,2,6,7,5,1,3] => [5,4,2,1,7,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 11
[4,2,7,1,3,5,6] => [7,4,2,1,3,5,6] => ([(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 10
[4,2,7,1,3,6,5] => [6,4,2,1,7,3,5] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 11
[4,2,7,1,5,3,6] => [5,7,4,2,1,3,6] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 13
[4,2,7,1,5,6,3] => [6,7,4,2,1,5,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 15
[4,2,7,1,6,3,5] => [6,7,4,2,1,3,5] => ([(0,6),(1,5),(2,5),(3,4),(5,6)],7) => 14
[4,2,7,1,6,5,3] => [5,6,4,2,7,1,3] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7) => 14
[4,2,7,3,1,5,6] => [3,7,4,2,1,5,6] => ([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7) => 10
[4,2,7,3,5,1,6] => [5,7,4,2,3,1,6] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7) => 14
[4,2,7,3,6,1,5] => [6,7,4,2,3,1,5] => ([(0,6),(1,6),(2,4),(3,5),(5,6)],7) => 15
[4,2,7,5,1,3,6] => [5,4,2,1,7,3,6] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 10
[4,2,7,5,1,6,3] => [6,5,4,2,7,1,3] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 15
[4,2,7,5,3,6,1] => [6,5,4,2,7,3,1] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 16
[4,2,7,5,6,1,3] => [6,4,2,1,7,5,3] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 12
[4,2,7,6,1,3,5] => [6,4,2,1,3,7,5] => ([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 10
[4,2,7,6,1,5,3] => [5,6,4,2,1,7,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 13
[4,2,7,6,3,1,5] => [3,6,4,2,1,7,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 10
[4,2,7,6,5,1,3] => [5,4,2,1,6,7,3] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 10
[4,3,1,2,5,7,6] => [3,1,4,2,5,7,6] => ([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7) => 4
[4,3,1,2,6,7,5] => [3,1,4,2,7,6,5] => ([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 6
[4,3,2,5,1,6,7] => [5,3,4,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 9
[4,3,2,5,1,7,6] => [5,3,4,2,1,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 10
[4,3,2,5,6,1,7] => [6,3,4,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => 11
[4,3,2,6,1,5,7] => [6,3,4,2,1,5,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => 10
[4,3,2,6,5,1,7] => [5,3,4,2,6,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => 10
[4,3,2,6,7,1,5] => [7,3,4,2,1,6,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 12
[4,3,2,6,7,5,1] => [5,3,4,2,7,6,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 12
[4,3,2,7,1,5,6] => [7,3,4,2,1,5,6] => ([(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 11
[4,3,2,7,1,6,5] => [6,3,4,2,7,1,5] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 12
[4,3,2,7,5,1,6] => [5,3,4,2,7,1,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 11
[4,3,2,7,6,1,5] => [6,3,4,2,1,7,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 11
[4,3,2,7,6,5,1] => [5,3,4,2,6,7,1] => ([(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 11
[4,3,5,1,2,6,7] => [5,1,4,3,2,6,7] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 7
[4,3,5,1,6,2,7] => [6,5,4,3,1,2,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 14
[4,3,5,1,6,7,2] => [7,5,4,3,1,6,2] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 16
[4,3,5,1,7,2,6] => [7,5,4,3,1,2,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 15
[4,3,5,1,7,6,2] => [6,5,4,3,1,7,2] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 15
[4,3,5,2,1,6,7] => [2,5,4,3,1,6,7] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 7
[4,3,5,2,6,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 15
[4,3,5,2,6,7,1] => [7,5,4,3,2,6,1] => ([(2,6),(3,6),(4,6),(5,6)],7) => 17
[4,3,5,2,7,1,6] => [7,5,4,3,2,1,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 16
[4,3,5,2,7,6,1] => [6,5,4,3,2,7,1] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 16
[4,3,5,6,1,7,2] => [7,6,4,3,5,1,2] => ([(2,6),(3,6),(4,5)],7) => 18
[4,3,5,6,2,7,1] => [7,6,4,3,5,2,1] => ([(4,6),(5,6)],7) => 19
[4,3,5,6,7,1,2] => [7,1,4,3,5,6,2] => ([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => 11
[4,3,5,6,7,2,1] => [2,7,4,3,5,6,1] => ([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => 11
[4,3,5,7,1,2,6] => [7,1,4,3,5,2,6] => ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7) => 10
[4,3,5,7,1,6,2] => [6,7,4,3,5,1,2] => ([(0,6),(1,6),(2,5),(3,4)],7) => 17
[4,3,5,7,2,6,1] => [6,7,4,3,5,2,1] => ([(2,6),(3,6),(4,5)],7) => 18
[4,3,5,7,6,2,1] => [2,6,4,3,5,7,1] => ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7) => 10
[4,3,6,1,2,7,5] => [7,1,4,3,6,2,5] => ([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 11
[4,3,6,1,5,2,7] => [5,6,4,3,1,2,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 13
[4,3,6,1,5,7,2] => [7,6,4,3,1,5,2] => ([(2,6),(3,6),(4,5),(4,6)],7) => 17
[4,3,6,1,7,2,5] => [7,6,4,3,1,2,5] => ([(2,6),(3,6),(4,5),(5,6)],7) => 16
[4,3,6,1,7,5,2] => [5,7,4,3,6,1,2] => ([(0,6),(1,6),(2,5),(3,4),(3,6)],7) => 16
[4,3,6,2,1,5,7] => [2,6,4,3,1,5,7] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => 8
[4,3,6,2,5,1,7] => [5,6,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 14
[4,3,6,2,5,7,1] => [7,6,4,3,2,5,1] => ([(3,6),(4,6),(5,6)],7) => 18
[4,3,6,2,7,1,5] => [7,6,4,3,2,1,5] => ([(2,6),(3,6),(4,6),(5,6)],7) => 17
[4,3,6,2,7,5,1] => [5,7,4,3,6,2,1] => ([(2,6),(3,6),(4,5),(4,6)],7) => 17
[4,3,6,5,1,2,7] => [5,1,4,3,6,2,7] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => 8
[4,3,6,5,1,7,2] => [7,5,4,3,6,1,2] => ([(1,6),(2,6),(3,6),(4,5)],7) => 17
[4,3,6,5,2,7,1] => [7,5,4,3,6,2,1] => ([(3,6),(4,6),(5,6)],7) => 18
[4,3,6,5,7,1,2] => [7,1,4,3,6,5,2] => ([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => 12
[4,3,6,5,7,2,1] => [2,7,4,3,6,5,1] => ([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => 12
[4,3,6,7,1,2,5] => [7,1,4,3,2,6,5] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 10
[4,3,6,7,1,5,2] => [5,7,4,3,1,6,2] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 15
[4,3,6,7,2,5,1] => [5,7,4,3,2,6,1] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 16
[4,3,6,7,5,2,1] => [2,5,4,3,7,6,1] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 10
[4,3,7,1,2,5,6] => [7,1,4,3,2,5,6] => ([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 9
[4,3,7,1,5,2,6] => [5,7,4,3,1,2,6] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7) => 14
[4,3,7,1,5,6,2] => [6,7,4,3,1,5,2] => ([(0,6),(1,6),(2,5),(3,4),(3,6)],7) => 16
[4,3,7,1,6,2,5] => [6,7,4,3,1,2,5] => ([(0,6),(1,6),(2,4),(3,5),(5,6)],7) => 15
[4,3,7,1,6,5,2] => [5,6,4,3,7,1,2] => ([(0,6),(1,6),(2,4),(3,5),(5,6)],7) => 15
[4,3,7,2,1,5,6] => [2,7,4,3,1,5,6] => ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => 9
[4,3,7,2,5,1,6] => [5,7,4,3,2,1,6] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 15
[4,3,7,2,5,6,1] => [6,7,4,3,2,5,1] => ([(1,6),(2,6),(3,6),(4,5)],7) => 17
[4,3,7,2,6,1,5] => [6,7,4,3,2,1,5] => ([(0,6),(1,6),(2,6),(3,6),(4,5)],7) => 16
[4,3,7,2,6,5,1] => [5,6,4,3,7,2,1] => ([(2,6),(3,6),(4,5),(5,6)],7) => 16
[4,3,7,5,1,6,2] => [6,5,4,3,7,1,2] => ([(0,6),(1,6),(2,6),(3,6),(4,5)],7) => 16
[4,3,7,5,2,6,1] => [6,5,4,3,7,2,1] => ([(2,6),(3,6),(4,6),(5,6)],7) => 17
[4,3,7,5,6,2,1] => [2,6,4,3,7,5,1] => ([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 11
[4,3,7,6,1,5,2] => [5,6,4,3,1,7,2] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7) => 14
[4,3,7,6,2,5,1] => [5,6,4,3,2,7,1] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 15
[4,3,7,6,5,1,2] => [5,1,4,3,6,7,2] => ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => 9
[4,3,7,6,5,2,1] => [2,5,4,3,6,7,1] => ([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 9
[4,5,1,2,3,7,6] => [5,1,2,4,3,7,6] => ([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => 6
[4,5,1,2,6,3,7] => [6,1,5,4,2,3,7] => ([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 10
[4,5,1,2,6,7,3] => [7,1,5,4,2,6,3] => ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => 12
[4,5,1,2,7,3,6] => [7,1,5,4,2,3,6] => ([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 11
[4,5,1,2,7,6,3] => [6,1,5,4,2,7,3] => ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => 11
[4,5,1,3,6,2,7] => [6,5,1,4,3,2,7] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 12
[4,5,1,3,6,7,2] => [7,5,1,4,3,6,2] => ([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 14
[4,5,1,3,7,2,6] => [7,5,1,4,3,2,6] => ([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 13
[4,5,1,3,7,6,2] => [6,5,1,4,3,7,2] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 13
[4,5,1,6,2,3,7] => [6,5,1,4,2,3,7] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 11
[4,5,1,6,2,7,3] => [7,6,5,4,1,2,3] => ([(4,5),(5,6)],7) => 18
[4,5,1,6,3,7,2] => [7,6,5,4,1,3,2] => ([(4,5),(4,6)],7) => 19
[4,5,1,7,3,6,2] => [6,7,5,4,1,3,2] => ([(2,6),(3,4),(3,5)],7) => 18
[4,5,1,7,6,2,3] => [6,5,1,4,2,7,3] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 12
[4,5,2,1,6,3,7] => [2,6,5,4,1,3,7] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 10
[4,5,2,1,7,3,6] => [2,7,5,4,1,3,6] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 11
[4,5,2,3,6,1,7] => [6,5,2,4,3,1,7] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 13
[4,5,2,3,7,1,6] => [7,5,2,4,3,1,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 14
[4,5,2,3,7,6,1] => [6,5,2,4,3,7,1] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 14
[4,5,2,6,1,3,7] => [6,5,2,4,1,3,7] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 12
[4,5,2,6,1,7,3] => [7,6,5,4,2,1,3] => ([(4,6),(5,6)],7) => 19
[4,5,2,6,3,1,7] => [3,6,5,4,2,1,7] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 12
[4,5,2,6,3,7,1] => [7,6,5,4,2,3,1] => ([(5,6)],7) => 20
[4,5,2,6,7,3,1] => [3,7,5,4,2,6,1] => ([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 14
[4,5,2,7,1,6,3] => [6,7,5,4,2,1,3] => ([(2,6),(3,6),(4,5)],7) => 18
[4,5,2,7,3,1,6] => [3,7,5,4,2,1,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 13
[4,5,2,7,3,6,1] => [6,7,5,4,2,3,1] => ([(3,6),(4,5)],7) => 19
[4,5,2,7,6,1,3] => [6,5,2,4,1,7,3] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 13
[4,5,2,7,6,3,1] => [3,6,5,4,2,7,1] => ([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 13
[4,5,3,2,1,7,6] => [2,3,5,4,1,7,6] => ([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => 6
[4,5,3,2,6,1,7] => [6,3,5,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 13
[4,5,3,2,7,1,6] => [7,3,5,4,2,1,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 14
[4,5,3,2,7,6,1] => [6,3,5,4,2,7,1] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 14
[4,5,3,6,1,2,7] => [6,1,5,4,3,2,7] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 11
[4,5,3,6,1,7,2] => [7,6,5,4,3,1,2] => ([(5,6)],7) => 20
[4,5,3,6,2,1,7] => [2,6,5,4,3,1,7] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 11
[4,5,3,6,2,7,1] => [7,6,5,4,3,2,1] => ([],7) => 21
[4,5,3,6,7,1,2] => [7,1,5,4,3,6,2] => ([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 13
[4,5,3,6,7,2,1] => [2,7,5,4,3,6,1] => ([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 13
[4,5,3,7,1,2,6] => [7,1,5,4,3,2,6] => ([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 12
[4,5,3,7,1,6,2] => [6,7,5,4,3,1,2] => ([(3,6),(4,5)],7) => 19
[4,5,3,7,2,1,6] => [2,7,5,4,3,1,6] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 12
[4,5,3,7,2,6,1] => [6,7,5,4,3,2,1] => ([(5,6)],7) => 20
[4,5,3,7,6,1,2] => [6,1,5,4,3,7,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 12
[4,5,3,7,6,2,1] => [2,6,5,4,3,7,1] => ([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 12
[4,5,6,1,2,7,3] => [7,1,6,4,5,2,3] => ([(1,4),(1,5),(1,6),(5,3),(6,2)],7) => 14
[4,5,6,1,3,7,2] => [7,6,1,4,5,3,2] => ([(2,4),(2,5),(2,6),(6,3)],7) => 16
[4,5,6,1,7,2,3] => [7,6,1,4,5,2,3] => ([(2,5),(2,6),(5,4),(6,3)],7) => 15
[4,5,6,2,1,7,3] => [2,7,6,4,5,1,3] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7) => 14
[4,5,6,2,3,1,7] => [3,6,2,4,5,1,7] => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7) => 9
[4,5,6,2,3,7,1] => [7,6,2,4,5,3,1] => ([(3,4),(3,5),(5,6)],7) => 17
[4,5,6,2,7,1,3] => [7,6,2,4,5,1,3] => ([(2,6),(3,4),(3,6),(4,5)],7) => 16
[4,5,6,2,7,3,1] => [3,7,6,4,5,2,1] => ([(2,4),(2,5),(2,6),(6,3)],7) => 16
[4,5,6,3,2,7,1] => [7,3,6,4,5,2,1] => ([(3,4),(3,5),(5,6)],7) => 17
[4,5,6,3,7,1,2] => [7,1,6,4,5,3,2] => ([(1,3),(1,4),(1,5),(1,6),(6,2)],7) => 15
[4,5,6,3,7,2,1] => [2,7,6,4,5,3,1] => ([(1,3),(1,4),(1,5),(1,6),(6,2)],7) => 15
[4,5,7,1,2,6,3] => [6,1,7,4,5,2,3] => ([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7) => 13
[4,5,7,2,1,6,3] => [2,6,7,4,5,1,3] => ([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7) => 13
[4,5,7,2,3,1,6] => [3,7,2,4,5,1,6] => ([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7) => 10
[4,5,7,2,6,3,1] => [3,6,7,4,5,2,1] => ([(2,5),(2,6),(5,4),(6,3)],7) => 15
[4,5,7,3,2,6,1] => [6,3,7,4,5,2,1] => ([(2,6),(3,4),(3,6),(4,5)],7) => 16
[4,5,7,3,6,1,2] => [6,1,7,4,5,3,2] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7) => 14
[4,5,7,3,6,2,1] => [2,6,7,4,5,3,1] => ([(1,4),(1,5),(1,6),(5,3),(6,2)],7) => 14
[4,6,1,2,5,7,3] => [7,1,6,4,2,5,3] => ([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 13
[4,6,1,2,7,3,5] => [7,1,6,4,2,3,5] => ([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 12
[4,6,1,3,5,7,2] => [7,6,1,4,3,5,2] => ([(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 15
[4,6,1,3,7,2,5] => [7,6,1,4,3,2,5] => ([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 14
[4,6,1,5,3,7,2] => [7,5,6,4,1,3,2] => ([(2,6),(3,4),(3,5)],7) => 18
[4,6,1,5,7,2,3] => [7,6,1,4,2,5,3] => ([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 14
[4,6,1,7,2,3,5] => [7,6,1,4,2,3,5] => ([(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 13
[4,6,2,1,7,3,5] => [2,7,6,4,1,3,5] => ([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7) => 12
[4,6,2,1,7,5,3] => [2,5,7,4,6,1,3] => ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7) => 12
[4,6,2,3,5,7,1] => [7,6,2,4,3,5,1] => ([(3,4),(3,5),(4,6),(5,6)],7) => 16
[4,6,2,5,1,7,3] => [7,5,6,4,2,1,3] => ([(2,6),(3,6),(4,5)],7) => 18
[4,6,2,5,3,1,7] => [3,5,6,4,2,1,7] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 11
[4,6,2,5,3,7,1] => [7,5,6,4,2,3,1] => ([(3,6),(4,5)],7) => 19
[4,6,2,5,7,3,1] => [3,7,6,4,2,5,1] => ([(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 15
[4,6,2,7,1,3,5] => [7,6,2,4,1,3,5] => ([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 14
[4,6,2,7,1,5,3] => [5,7,6,4,2,1,3] => ([(1,6),(2,6),(3,4),(3,5)],7) => 17
[4,6,2,7,3,1,5] => [3,7,6,4,2,1,5] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 14
[4,6,2,7,3,5,1] => [5,7,6,4,2,3,1] => ([(2,6),(3,4),(3,5)],7) => 18
[4,6,2,7,5,3,1] => [3,5,7,4,6,2,1] => ([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 14
[4,6,3,2,5,1,7] => [5,3,6,4,2,1,7] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 12
[4,6,3,2,7,1,5] => [7,3,6,4,2,1,5] => ([(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 15
[4,6,3,5,1,2,7] => [5,1,6,4,3,2,7] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 10
[4,6,3,5,1,7,2] => [7,5,6,4,3,1,2] => ([(3,6),(4,5)],7) => 19
[4,6,3,5,2,1,7] => [2,5,6,4,3,1,7] => ([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 10
[4,6,3,5,2,7,1] => [7,5,6,4,3,2,1] => ([(5,6)],7) => 20
[4,6,3,5,7,1,2] => [7,1,6,4,3,5,2] => ([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 14
[4,6,3,5,7,2,1] => [2,7,6,4,3,5,1] => ([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 14
[4,6,3,7,1,2,5] => [7,1,6,4,3,2,5] => ([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 13
[4,6,3,7,1,5,2] => [5,7,6,4,3,1,2] => ([(2,6),(3,4),(3,5)],7) => 18
[4,6,3,7,2,1,5] => [2,7,6,4,3,1,5] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 13
[4,6,3,7,2,5,1] => [5,7,6,4,3,2,1] => ([(4,5),(4,6)],7) => 19
[4,6,3,7,5,2,1] => [2,5,7,4,6,3,1] => ([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 13
[4,6,5,1,2,7,3] => [7,1,5,4,6,2,3] => ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => 13
[4,6,5,1,3,7,2] => [7,5,1,4,6,3,2] => ([(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 15
[4,6,5,2,1,7,3] => [2,7,5,4,6,1,3] => ([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7) => 13
[4,6,5,2,7,3,1] => [3,7,5,4,6,2,1] => ([(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 15
[4,6,5,3,2,7,1] => [7,3,5,4,6,2,1] => ([(3,4),(3,5),(4,6),(5,6)],7) => 16
[4,6,5,3,7,1,2] => [7,1,5,4,6,3,2] => ([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 14
[4,6,5,3,7,2,1] => [2,7,5,4,6,3,1] => ([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 14
[4,6,5,7,2,3,1] => [3,7,2,4,6,5,1] => ([(1,6),(2,3),(2,6),(6,4),(6,5)],7) => 12
[4,6,7,3,2,1,5] => [2,3,7,4,1,6,5] => ([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7) => 8
[4,6,7,3,5,2,1] => [2,5,7,4,3,6,1] => ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => 12
[4,6,7,5,1,2,3] => [5,1,2,4,7,6,3] => ([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7) => 8
[4,6,7,5,2,3,1] => [3,5,2,4,7,6,1] => ([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 10
[4,7,1,2,5,6,3] => [6,1,7,4,2,5,3] => ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7) => 12
[4,7,1,2,6,5,3] => [5,1,6,4,7,2,3] => ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7) => 11
[4,7,1,5,2,6,3] => [6,5,7,4,1,2,3] => ([(1,6),(2,6),(3,4),(4,5)],7) => 16
[4,7,1,5,3,6,2] => [6,5,7,4,1,3,2] => ([(1,6),(2,6),(3,4),(3,5)],7) => 17
[4,7,2,1,5,3,6] => [2,5,7,4,1,3,6] => ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7) => 10
[4,7,2,1,6,3,5] => [2,6,7,4,1,3,5] => ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7) => 11
[4,7,2,5,1,6,3] => [6,5,7,4,2,1,3] => ([(1,6),(2,6),(3,5),(4,5)],7) => 17
[4,7,2,5,3,1,6] => [3,5,7,4,2,1,6] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 12
[4,7,2,5,3,6,1] => [6,5,7,4,2,3,1] => ([(2,6),(3,6),(4,5)],7) => 18
[4,7,2,6,1,5,3] => [5,6,7,4,2,1,3] => ([(1,6),(2,6),(3,4),(4,5)],7) => 16
[4,7,2,6,3,1,5] => [3,6,7,4,2,1,5] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7) => 13
[4,7,2,6,5,3,1] => [3,5,6,4,7,2,1] => ([(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 13
[4,7,3,2,5,1,6] => [5,3,7,4,2,1,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 13
[4,7,3,2,6,1,5] => [6,3,7,4,2,1,5] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7) => 14
[4,7,3,2,6,5,1] => [5,3,6,4,7,2,1] => ([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 14
[4,7,3,5,1,6,2] => [6,5,7,4,3,1,2] => ([(2,6),(3,6),(4,5)],7) => 18
[4,7,3,5,2,1,6] => [2,5,7,4,3,1,6] => ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => 11
[4,7,3,5,2,6,1] => [6,5,7,4,3,2,1] => ([(4,6),(5,6)],7) => 19
[4,7,3,5,6,1,2] => [6,1,7,4,3,5,2] => ([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7) => 13
[4,7,3,5,6,2,1] => [2,6,7,4,3,5,1] => ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => 13
[4,7,3,6,1,2,5] => [6,1,7,4,3,2,5] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7) => 12
[4,7,3,6,2,1,5] => [2,6,7,4,3,1,5] => ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => 12
[4,7,3,6,2,5,1] => [5,6,7,4,3,2,1] => ([(4,5),(5,6)],7) => 18
[4,7,3,6,5,1,2] => [5,1,6,4,7,3,2] => ([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7) => 12
[4,7,3,6,5,2,1] => [2,5,6,4,7,3,1] => ([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 12
[4,7,5,1,2,3,6] => [5,1,2,4,7,3,6] => ([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => 7
[4,7,5,1,2,6,3] => [6,1,5,4,7,2,3] => ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => 12
[4,7,5,1,3,6,2] => [6,5,1,4,7,3,2] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 14
[4,7,5,1,6,2,3] => [6,5,1,4,7,2,3] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7) => 13
[4,7,5,2,1,6,3] => [2,6,5,4,7,1,3] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7) => 12
[4,7,5,2,3,6,1] => [6,5,2,4,7,3,1] => ([(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 15
[4,7,5,2,6,1,3] => [6,5,2,4,7,1,3] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7) => 14
[4,7,5,2,6,3,1] => [3,6,5,4,7,2,1] => ([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 14
[4,7,5,3,6,1,2] => [6,1,5,4,7,3,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 13
[4,7,5,3,6,2,1] => [2,6,5,4,7,3,1] => ([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 13
[4,7,5,6,2,3,1] => [3,6,2,4,7,5,1] => ([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7) => 11
[4,7,6,1,2,5,3] => [5,1,6,4,2,7,3] => ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7) => 10
[4,7,6,3,2,1,5] => [2,3,6,4,1,7,5] => ([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => 7
[4,7,6,3,5,1,2] => [5,1,6,4,3,7,2] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 11
[4,7,6,3,5,2,1] => [2,5,6,4,3,7,1] => ([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 11
[4,7,6,5,2,3,1] => [3,5,2,4,6,7,1] => ([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7) => 9
[5,1,2,3,4,6,7] => [5,1,2,3,4,6,7] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 4
[5,1,2,4,3,6,7] => [4,1,5,2,3,6,7] => ([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7) => 5
[5,1,2,4,3,7,6] => [4,1,5,2,3,7,6] => ([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7) => 6
[5,1,2,4,6,3,7] => [6,1,5,2,4,3,7] => ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 9
[5,1,2,4,7,6,3] => [6,1,5,2,4,7,3] => ([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7) => 10
[5,1,2,6,3,7,4] => [7,1,6,5,2,3,4] => ([(1,3),(1,4),(1,6),(5,2),(6,5)],7) => 13
[5,1,2,6,4,7,3] => [7,1,6,5,2,4,3] => ([(1,4),(1,5),(1,6),(6,2),(6,3)],7) => 14
[5,1,2,7,4,6,3] => [6,1,7,5,2,4,3] => ([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7) => 13
[5,1,3,4,6,2,7] => [6,5,1,3,4,2,7] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 11
[5,1,3,4,7,6,2] => [6,5,1,3,4,7,2] => ([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7) => 12
[5,1,3,6,2,4,7] => [6,5,1,3,2,4,7] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => 10
[5,1,3,6,2,7,4] => [7,6,1,5,3,2,4] => ([(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 15
[5,1,3,6,4,7,2] => [7,6,1,5,3,4,2] => ([(2,4),(2,5),(2,6),(6,3)],7) => 16
[5,1,3,7,6,2,4] => [6,5,1,3,2,7,4] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 11
[5,1,4,6,2,3,7] => [6,5,1,2,4,3,7] => ([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 10
[5,1,4,6,2,7,3] => [7,6,5,1,4,2,3] => ([(3,4),(3,5),(5,6)],7) => 17
[5,1,4,6,3,7,2] => [7,6,5,1,4,3,2] => ([(3,4),(3,5),(3,6)],7) => 18
[5,1,4,7,3,6,2] => [6,7,5,1,4,3,2] => ([(1,6),(2,3),(2,4),(2,5)],7) => 17
[5,1,4,7,6,2,3] => [6,5,1,2,4,7,3] => ([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 11
[5,1,6,2,3,4,7] => [6,5,1,2,3,4,7] => ([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => 9
[5,1,6,2,4,7,3] => [7,6,5,1,2,4,3] => ([(3,4),(4,5),(4,6)],7) => 16
[5,1,6,2,7,3,4] => [7,6,5,1,2,3,4] => ([(3,4),(4,6),(6,5)],7) => 15
[5,1,6,3,2,7,4] => [3,7,6,5,1,2,4] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7) => 14
[5,1,6,3,4,7,2] => [7,6,5,1,3,4,2] => ([(3,4),(3,5),(5,6)],7) => 17
[5,1,6,3,7,2,4] => [7,6,5,1,3,2,4] => ([(3,4),(3,5),(4,6),(5,6)],7) => 16
[5,1,6,4,7,2,3] => [7,6,1,5,2,4,3] => ([(2,5),(2,6),(6,3),(6,4)],7) => 15
[5,1,7,2,3,4,6] => [7,5,1,2,3,4,6] => ([(1,3),(2,6),(3,5),(4,6),(5,4)],7) => 10
[5,1,7,6,2,3,4] => [6,5,1,2,3,7,4] => ([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7) => 10
[5,2,1,4,3,6,7] => [2,4,5,1,3,6,7] => ([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7) => 5
[5,2,1,4,3,7,6] => [2,4,5,1,3,7,6] => ([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7) => 6
[5,2,1,6,3,7,4] => [2,7,6,5,1,3,4] => ([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7) => 13
[5,2,1,6,7,3,4] => [2,7,5,1,3,6,4] => ([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7) => 10
[5,2,1,7,3,6,4] => [2,6,7,5,1,3,4] => ([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7) => 12
[5,2,1,7,6,3,4] => [2,6,5,1,3,7,4] => ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7) => 9
[5,2,3,1,4,6,7] => [3,5,2,1,4,6,7] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7) => 6
[5,2,3,1,4,7,6] => [3,5,2,1,4,7,6] => ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 7
[5,2,3,4,6,1,7] => [6,5,2,3,4,1,7] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 12
[5,2,3,4,7,1,6] => [7,5,2,3,4,1,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 13
[5,2,3,4,7,6,1] => [6,5,2,3,4,7,1] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 13
[5,2,3,6,1,4,7] => [6,5,2,3,1,4,7] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => 11
[5,2,3,6,4,7,1] => [7,6,2,5,3,4,1] => ([(3,4),(3,5),(5,6)],7) => 17
[5,2,3,7,6,1,4] => [6,5,2,3,1,7,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 12
[5,2,4,1,3,6,7] => [4,5,2,1,3,6,7] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 7
[5,2,4,1,3,7,6] => [4,5,2,1,3,7,6] => ([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => 8
[5,2,4,1,6,3,7] => [6,4,5,2,1,3,7] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 12
[5,2,4,1,6,7,3] => [7,4,5,2,1,6,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 14
[5,2,4,1,7,3,6] => [7,4,5,2,1,3,6] => ([(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 13
[5,2,4,1,7,6,3] => [6,4,5,2,1,7,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 13
[5,2,4,3,1,6,7] => [3,4,5,2,1,6,7] => ([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => 7
[5,2,4,3,1,7,6] => [3,4,5,2,1,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) => 8
[5,2,4,3,6,1,7] => [6,4,5,2,3,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 13
[5,2,4,6,1,3,7] => [6,5,2,1,4,3,7] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 11
[5,2,4,6,1,7,3] => [7,6,5,2,4,1,3] => ([(3,6),(4,5),(4,6)],7) => 18
[5,2,4,6,3,7,1] => [7,6,5,2,4,3,1] => ([(4,5),(4,6)],7) => 19
[5,2,4,6,7,1,3] => [7,5,2,1,4,6,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 13
[5,2,4,6,7,3,1] => [3,7,5,2,4,6,1] => ([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 13
[5,2,4,7,1,3,6] => [7,5,2,1,4,3,6] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 12
[5,2,4,7,3,6,1] => [6,7,5,2,4,3,1] => ([(2,6),(3,4),(3,5)],7) => 18
[5,2,4,7,6,1,3] => [6,5,2,1,4,7,3] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 12
[5,2,4,7,6,3,1] => [3,6,5,2,4,7,1] => ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 12
[5,2,6,1,3,4,7] => [6,5,2,1,3,4,7] => ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 10
[5,2,6,1,3,7,4] => [7,6,2,5,1,3,4] => ([(2,6),(3,4),(3,6),(6,5)],7) => 15
[5,2,6,1,4,3,7] => [4,6,5,2,1,3,7] => ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => 11
[5,2,6,1,4,7,3] => [7,6,5,2,1,4,3] => ([(3,5),(3,6),(4,5),(4,6)],7) => 17
[5,2,6,1,7,3,4] => [7,6,5,2,1,3,4] => ([(3,6),(4,6),(6,5)],7) => 16
[5,2,6,1,7,4,3] => [4,7,6,5,2,1,3] => ([(0,6),(1,6),(2,3),(2,4),(2,5)],7) => 16
[5,2,6,3,1,4,7] => [3,6,5,2,1,4,7] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 10
[5,2,6,3,1,7,4] => [3,7,6,5,2,1,4] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 15
[5,2,6,3,4,7,1] => [7,6,5,2,3,4,1] => ([(4,5),(5,6)],7) => 18
[5,2,6,3,7,4,1] => [4,7,6,5,2,3,1] => ([(1,6),(2,3),(2,4),(2,5)],7) => 17
[5,2,6,4,1,7,3] => [7,4,6,5,2,1,3] => ([(1,6),(2,6),(3,4),(3,5)],7) => 17
[5,2,6,4,3,1,7] => [3,4,6,5,2,1,7] => ([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 10
[5,2,6,4,3,7,1] => [7,4,6,5,2,3,1] => ([(2,6),(3,4),(3,5)],7) => 18
[5,2,6,4,7,3,1] => [3,7,6,5,2,4,1] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 16
[5,2,6,7,1,3,4] => [7,5,2,1,3,6,4] => ([(1,6),(2,6),(3,5),(6,4),(6,5)],7) => 12
[5,2,6,7,1,4,3] => [4,7,5,2,1,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7) => 13
[5,2,6,7,3,1,4] => [3,7,5,2,1,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => 12
[5,2,7,1,3,4,6] => [7,5,2,1,3,4,6] => ([(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 11
[5,2,7,1,4,3,6] => [4,7,5,2,1,3,6] => ([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7) => 12
[5,2,7,1,4,6,3] => [6,7,5,2,1,4,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 16
[5,2,7,1,6,3,4] => [6,7,5,2,1,3,4] => ([(1,6),(2,6),(3,4),(6,5)],7) => 15
[5,2,7,1,6,4,3] => [4,6,7,5,2,1,3] => ([(0,6),(1,6),(2,3),(2,4),(4,5)],7) => 15
[5,2,7,3,1,4,6] => [3,7,5,2,1,4,6] => ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => 11
[5,2,7,3,1,6,4] => [3,6,7,5,2,1,4] => ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 14
[5,2,7,4,1,6,3] => [6,4,7,5,2,1,3] => ([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => 16
[5,2,7,4,3,1,6] => [3,4,7,5,2,1,6] => ([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 11
[5,2,7,4,6,3,1] => [3,6,7,5,2,4,1] => ([(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 15
[5,2,7,6,1,3,4] => [6,5,2,1,3,7,4] => ([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7) => 11
[5,2,7,6,1,4,3] => [4,6,5,2,1,7,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7) => 12
[5,2,7,6,3,1,4] => [3,6,5,2,1,7,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 11
[5,3,1,4,2,6,7] => [4,3,5,1,2,6,7] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 7
[5,3,1,4,2,7,6] => [4,3,5,1,2,7,6] => ([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => 8
[5,3,1,6,4,2,7] => [4,3,6,5,1,2,7] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => 10
[5,3,1,6,7,4,2] => [4,3,7,5,1,6,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7) => 12
[5,3,1,7,4,2,6] => [4,3,7,5,1,2,6] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7) => 11
[5,3,1,7,6,4,2] => [4,3,6,5,1,7,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) => 11
[5,3,2,4,1,6,7] => [4,3,5,2,1,6,7] => ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 8
[5,3,2,4,1,7,6] => [4,3,5,2,1,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 9
[5,3,2,4,6,1,7] => [6,3,5,2,4,1,7] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 12
[5,3,2,4,6,7,1] => [7,3,5,2,4,6,1] => ([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 14
[5,3,2,6,1,4,7] => [6,3,5,2,1,4,7] => ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 11
[5,3,2,6,1,7,4] => [7,3,6,5,2,1,4] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 16
[5,3,2,6,4,1,7] => [4,3,6,5,2,1,7] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 11
[5,3,2,6,4,7,1] => [7,3,6,5,2,4,1] => ([(2,6),(3,4),(3,5),(3,6)],7) => 17
[5,3,2,6,7,1,4] => [7,3,5,2,1,6,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 13
[5,3,2,6,7,4,1] => [4,3,7,5,2,6,1] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 13
[5,3,2,7,1,4,6] => [7,3,5,2,1,4,6] => ([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 12
[5,3,2,7,1,6,4] => [6,3,7,5,2,1,4] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7) => 15
[5,3,2,7,4,1,6] => [4,3,7,5,2,1,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 12
[5,3,2,7,6,1,4] => [6,3,5,2,1,7,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 12
[5,3,2,7,6,4,1] => [4,3,6,5,2,7,1] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 12
[5,3,4,1,2,6,7] => [4,1,5,3,2,6,7] => ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7) => 6
[5,3,4,1,2,7,6] => [4,1,5,3,2,7,6] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 7
[5,3,4,1,6,2,7] => [6,4,5,3,1,2,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 13
[5,3,4,1,7,6,2] => [6,4,5,3,1,7,2] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7) => 14
[5,3,4,2,1,7,6] => [2,4,5,3,1,7,6] => ([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => 7
[5,3,4,2,6,1,7] => [6,4,5,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 14
[5,3,4,2,6,7,1] => [7,4,5,3,2,6,1] => ([(2,6),(3,6),(4,5),(5,6)],7) => 16
[5,3,4,2,7,1,6] => [7,4,5,3,2,1,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 15
[5,3,4,2,7,6,1] => [6,4,5,3,2,7,1] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 15
[5,3,4,6,1,2,7] => [6,1,5,3,4,2,7] => ([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 10
[5,3,4,6,1,7,2] => [7,6,5,3,4,1,2] => ([(3,6),(4,5)],7) => 19
[5,3,4,6,2,1,7] => [2,6,5,3,4,1,7] => ([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 10
[5,3,4,6,2,7,1] => [7,6,5,3,4,2,1] => ([(5,6)],7) => 20
[5,3,4,6,7,1,2] => [7,1,5,3,4,6,2] => ([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 12
[5,3,4,6,7,2,1] => [2,7,5,3,4,6,1] => ([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 12
[5,3,4,7,1,2,6] => [7,1,5,3,4,2,6] => ([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 11
[5,3,4,7,2,1,6] => [2,7,5,3,4,1,6] => ([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 11
[5,3,4,7,2,6,1] => [6,7,5,3,4,2,1] => ([(3,6),(4,5)],7) => 19
[5,3,4,7,6,1,2] => [6,1,5,3,4,7,2] => ([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 11
[5,3,4,7,6,2,1] => [2,6,5,3,4,7,1] => ([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 11
[5,3,6,1,2,7,4] => [7,1,6,5,3,2,4] => ([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 14
[5,3,6,1,4,7,2] => [7,6,5,3,1,4,2] => ([(3,6),(4,5),(4,6)],7) => 18
[5,3,6,1,7,4,2] => [4,7,6,5,3,1,2] => ([(1,6),(2,3),(2,4),(2,5)],7) => 17
[5,3,6,2,1,7,4] => [2,7,6,5,3,1,4] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 14
[5,3,6,2,4,1,7] => [4,6,5,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 13
[5,3,6,2,4,7,1] => [7,6,5,3,2,4,1] => ([(4,6),(5,6)],7) => 19
[5,3,6,2,7,1,4] => [7,6,5,3,2,1,4] => ([(3,6),(4,6),(5,6)],7) => 18
[5,3,6,2,7,4,1] => [4,7,6,5,3,2,1] => ([(3,4),(3,5),(3,6)],7) => 18
[5,3,6,4,1,7,2] => [7,4,6,5,3,1,2] => ([(2,6),(3,4),(3,5)],7) => 18
[5,3,6,4,2,1,7] => [2,4,6,5,3,1,7] => ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 9
[5,3,6,4,2,7,1] => [7,4,6,5,3,2,1] => ([(4,5),(4,6)],7) => 19
[5,3,6,4,7,1,2] => [7,1,6,5,3,4,2] => ([(1,3),(1,4),(1,5),(1,6),(6,2)],7) => 15
[5,3,6,4,7,2,1] => [2,7,6,5,3,4,1] => ([(1,3),(1,4),(1,5),(1,6),(6,2)],7) => 15
[5,3,6,7,1,2,4] => [7,1,5,3,2,6,4] => ([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 11
[5,3,6,7,2,4,1] => [4,7,5,3,2,6,1] => ([(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 15
[5,3,7,1,2,4,6] => [7,1,5,3,2,4,6] => ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7) => 10
[5,3,7,1,2,6,4] => [6,1,7,5,3,2,4] => ([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7) => 13
[5,3,7,2,1,4,6] => [2,7,5,3,1,4,6] => ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7) => 10
[5,3,7,2,1,6,4] => [2,6,7,5,3,1,4] => ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7) => 13
[5,3,7,2,4,1,6] => [4,7,5,3,2,1,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 14
[5,3,7,2,4,6,1] => [6,7,5,3,2,4,1] => ([(2,6),(3,6),(4,5)],7) => 18
[5,3,7,2,6,1,4] => [6,7,5,3,2,1,4] => ([(1,6),(2,6),(3,6),(4,5)],7) => 17
[5,3,7,2,6,4,1] => [4,6,7,5,3,2,1] => ([(3,4),(3,5),(5,6)],7) => 17
[5,3,7,4,2,1,6] => [2,4,7,5,3,1,6] => ([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7) => 10
[5,3,7,4,2,6,1] => [6,4,7,5,3,2,1] => ([(3,6),(4,5),(4,6)],7) => 18
[5,3,7,4,6,1,2] => [6,1,7,5,3,4,2] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7) => 14
[5,3,7,4,6,2,1] => [2,6,7,5,3,4,1] => ([(1,4),(1,5),(1,6),(5,3),(6,2)],7) => 14
[5,3,7,6,2,4,1] => [4,6,5,3,2,7,1] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 14
[5,4,1,2,6,3,7] => [6,1,4,5,2,3,7] => ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7) => 9
[5,4,1,2,7,6,3] => [6,1,4,5,2,7,3] => ([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7) => 10
[5,4,1,3,6,7,2] => [7,4,1,5,3,6,2] => ([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 13
[5,4,1,3,7,2,6] => [7,4,1,5,3,2,6] => ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 12
[5,4,1,6,3,7,2] => [7,6,4,5,1,3,2] => ([(2,6),(3,4),(3,5)],7) => 18
[5,4,1,6,7,2,3] => [7,4,1,5,2,6,3] => ([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => 12
[5,4,1,7,2,3,6] => [7,4,1,5,2,3,6] => ([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => 11
[5,4,2,3,6,1,7] => [6,4,2,5,3,1,7] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 12
[5,4,2,3,6,7,1] => [7,4,2,5,3,6,1] => ([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 14
[5,4,2,6,1,3,7] => [6,4,2,5,1,3,7] => ([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 11
[5,4,2,6,1,7,3] => [7,6,4,5,2,1,3] => ([(2,6),(3,6),(4,5)],7) => 18
[5,4,2,6,3,1,7] => [3,6,4,5,2,1,7] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 11
[5,4,2,6,3,7,1] => [7,6,4,5,2,3,1] => ([(3,6),(4,5)],7) => 19
[5,4,2,7,1,3,6] => [7,4,2,5,1,3,6] => ([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 12
[5,4,2,7,1,6,3] => [6,7,4,5,2,1,3] => ([(0,6),(1,6),(2,5),(3,4)],7) => 17
[5,4,2,7,3,1,6] => [3,7,4,5,2,1,6] => ([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7) => 12
[5,4,2,7,6,1,3] => [6,4,2,5,1,7,3] => ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => 12
[5,4,3,2,1,6,7] => [2,3,4,5,1,6,7] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 4
[5,4,3,2,6,1,7] => [6,3,4,5,2,1,7] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 12
[5,4,3,2,7,1,6] => [7,3,4,5,2,1,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 13
[5,4,3,2,7,6,1] => [6,3,4,5,2,7,1] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 13
[5,4,3,6,1,2,7] => [6,1,4,5,3,2,7] => ([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 10
[5,4,3,6,1,7,2] => [7,6,4,5,3,1,2] => ([(3,6),(4,5)],7) => 19
[5,4,3,6,2,1,7] => [2,6,4,5,3,1,7] => ([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 10
[5,4,3,6,2,7,1] => [7,6,4,5,3,2,1] => ([(5,6)],7) => 20
[5,4,3,6,7,1,2] => [7,1,4,5,3,6,2] => ([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 12
[5,4,3,6,7,2,1] => [2,7,4,5,3,6,1] => ([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 12
[5,4,3,7,1,2,6] => [7,1,4,5,3,2,6] => ([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 11
[5,4,3,7,2,1,6] => [2,7,4,5,3,1,6] => ([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 11
[5,4,3,7,2,6,1] => [6,7,4,5,3,2,1] => ([(3,6),(4,5)],7) => 19
[5,4,3,7,6,1,2] => [6,1,4,5,3,7,2] => ([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 11
[5,4,3,7,6,2,1] => [2,6,4,5,3,7,1] => ([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 11
[5,4,6,1,2,3,7] => [6,1,2,5,4,3,7] => ([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 8
[5,4,6,1,2,7,3] => [7,1,6,5,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(6,2)],7) => 15
[5,4,6,1,3,7,2] => [7,6,1,5,4,3,2] => ([(2,3),(2,4),(2,5),(2,6)],7) => 17
[5,4,6,1,7,2,3] => [7,6,1,5,4,2,3] => ([(2,4),(2,5),(2,6),(6,3)],7) => 16
[5,4,6,1,7,3,2] => [3,7,6,5,4,1,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5)],7) => 16
[5,4,6,2,1,7,3] => [2,7,6,5,4,1,3] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 15
[5,4,6,2,3,7,1] => [7,6,2,5,4,3,1] => ([(3,4),(3,5),(3,6)],7) => 18
[5,4,6,2,7,1,3] => [7,6,2,5,4,1,3] => ([(2,6),(3,4),(3,5),(3,6)],7) => 17
[5,4,6,2,7,3,1] => [3,7,6,5,4,2,1] => ([(2,3),(2,4),(2,5),(2,6)],7) => 17
[5,4,6,3,1,7,2] => [7,3,6,5,4,1,2] => ([(1,6),(2,3),(2,4),(2,5)],7) => 17
[5,4,6,3,2,1,7] => [2,3,6,5,4,1,7] => ([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 8
[5,4,6,3,2,7,1] => [7,3,6,5,4,2,1] => ([(3,4),(3,5),(3,6)],7) => 18
[5,4,6,3,7,1,2] => [7,1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 16
[5,4,6,3,7,2,1] => [2,7,6,5,4,3,1] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 16
[5,4,7,1,2,6,3] => [6,1,7,5,4,2,3] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7) => 14
[5,4,7,1,3,6,2] => [6,7,1,5,4,3,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5)],7) => 16
[5,4,7,2,1,6,3] => [2,6,7,5,4,1,3] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7) => 14
[5,4,7,2,3,6,1] => [6,7,2,5,4,3,1] => ([(1,6),(2,3),(2,4),(2,5)],7) => 17
[5,4,7,2,6,3,1] => [3,6,7,5,4,2,1] => ([(2,4),(2,5),(2,6),(6,3)],7) => 16
[5,4,7,3,2,1,6] => [2,3,7,5,4,1,6] => ([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 9
[5,4,7,3,2,6,1] => [6,3,7,5,4,2,1] => ([(2,6),(3,4),(3,5),(3,6)],7) => 17
[5,4,7,3,6,1,2] => [6,1,7,5,4,3,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 15
[5,4,7,3,6,2,1] => [2,6,7,5,4,3,1] => ([(1,3),(1,4),(1,5),(1,6),(6,2)],7) => 15
[5,4,7,6,1,2,3] => [6,1,2,5,4,7,3] => ([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 9
[5,6,1,2,3,4,7] => [6,1,2,3,5,4,7] => ([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => 6
[5,6,1,2,4,7,3] => [7,1,6,2,5,4,3] => ([(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 13
[5,6,1,3,4,7,2] => [7,6,1,3,5,4,2] => ([(2,5),(2,6),(6,3),(6,4)],7) => 15
[5,6,1,3,7,2,4] => [7,6,1,3,5,2,4] => ([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 14
[5,6,1,4,7,2,3] => [7,6,1,2,5,4,3] => ([(2,6),(6,3),(6,4),(6,5)],7) => 14
[5,6,2,1,3,4,7] => [2,6,1,3,5,4,7] => ([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7) => 6
[5,6,2,1,7,4,3] => [2,4,7,6,5,1,3] => ([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7) => 12
[5,6,2,3,1,4,7] => [3,6,2,1,5,4,7] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 8
[5,6,2,3,4,7,1] => [7,6,2,3,5,4,1] => ([(3,4),(4,5),(4,6)],7) => 16
[5,6,2,4,1,3,7] => [4,6,2,1,5,3,7] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => 9
[5,6,2,7,1,3,4] => [7,6,2,1,5,3,4] => ([(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 14
[5,6,2,7,4,3,1] => [3,4,7,6,5,2,1] => ([(2,6),(6,3),(6,4),(6,5)],7) => 14
[5,6,3,1,4,2,7] => [4,3,6,1,5,2,7] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => 9
[5,6,3,2,4,1,7] => [4,3,6,2,5,1,7] => ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 10
[5,6,3,4,2,1,7] => [2,4,6,3,5,1,7] => ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => 8
[5,6,3,4,2,7,1] => [7,4,6,3,5,2,1] => ([(3,6),(4,5),(4,6)],7) => 18
[5,6,3,4,7,1,2] => [7,1,6,3,5,4,2] => ([(1,4),(1,5),(1,6),(6,2),(6,3)],7) => 14
[5,6,3,4,7,2,1] => [2,7,6,3,5,4,1] => ([(1,4),(1,5),(1,6),(6,2),(6,3)],7) => 14
[5,6,3,7,1,2,4] => [7,1,6,3,5,2,4] => ([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 13
[5,6,3,7,2,4,1] => [4,7,6,3,5,2,1] => ([(2,6),(3,4),(3,5),(3,6)],7) => 17
[5,6,3,7,4,2,1] => [2,4,7,6,5,3,1] => ([(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 13
[5,6,4,1,2,7,3] => [7,1,4,6,5,2,3] => ([(1,5),(1,6),(5,4),(6,2),(6,3)],7) => 13
[5,6,4,2,1,7,3] => [2,7,4,6,5,1,3] => ([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7) => 13
[5,6,4,2,7,1,3] => [7,4,2,6,5,1,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 15
[5,6,4,2,7,3,1] => [3,7,4,6,5,2,1] => ([(2,5),(2,6),(6,3),(6,4)],7) => 15
[5,6,4,3,1,2,7] => [3,1,4,6,5,2,7] => ([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7) => 6
[5,6,4,3,2,1,7] => [2,3,4,6,5,1,7] => ([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => 6
[5,6,4,3,2,7,1] => [7,3,4,6,5,2,1] => ([(3,4),(4,5),(4,6)],7) => 16
[5,6,4,3,7,1,2] => [7,1,4,6,5,3,2] => ([(1,4),(1,5),(1,6),(6,2),(6,3)],7) => 14
[5,6,4,3,7,2,1] => [2,7,4,6,5,3,1] => ([(1,4),(1,5),(1,6),(6,2),(6,3)],7) => 14
[5,6,4,7,1,2,3] => [7,1,2,6,5,4,3] => ([(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 12
[5,6,4,7,3,2,1] => [2,3,7,6,5,4,1] => ([(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 12
[5,6,7,2,3,1,4] => [3,7,2,1,5,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 10
[5,6,7,2,4,1,3] => [4,7,2,1,5,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7) => 11
[5,6,7,3,1,4,2] => [4,3,7,1,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7) => 11
[5,6,7,3,2,4,1] => [4,3,7,2,5,6,1] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 12
[5,6,7,3,4,2,1] => [2,4,7,3,5,6,1] => ([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7) => 10
[5,7,1,2,3,4,6] => [7,1,2,3,5,4,6] => ([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => 7
[5,7,1,2,4,6,3] => [6,1,7,2,5,4,3] => ([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7) => 12
[5,7,2,1,3,4,6] => [2,7,1,3,5,4,6] => ([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7) => 7
[5,7,2,3,1,4,6] => [3,7,2,1,5,4,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7) => 9
[5,7,2,4,1,3,6] => [4,7,2,1,5,3,6] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7) => 10
[5,7,2,4,1,6,3] => [6,4,7,2,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7) => 15
[5,7,2,6,1,3,4] => [6,7,2,1,5,3,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7) => 13
[5,7,3,1,4,2,6] => [4,3,7,1,5,2,6] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7) => 10
[5,7,3,1,6,4,2] => [4,3,6,7,5,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7) => 13
[5,7,3,2,4,1,6] => [4,3,7,2,5,1,6] => ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7) => 11
[5,7,3,2,4,6,1] => [6,3,7,2,5,4,1] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 15
[5,7,3,2,6,1,4] => [6,3,7,2,5,1,4] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 14
[5,7,3,2,6,4,1] => [4,3,6,7,5,2,1] => ([(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 14
[5,7,3,4,1,6,2] => [6,4,7,3,5,1,2] => ([(0,6),(1,5),(2,5),(2,6),(3,4)],7) => 16
[5,7,3,4,2,6,1] => [6,4,7,3,5,2,1] => ([(2,6),(3,5),(4,5),(4,6)],7) => 17
[5,7,3,4,6,1,2] => [6,1,7,3,5,4,2] => ([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7) => 13
[5,7,3,4,6,2,1] => [2,6,7,3,5,4,1] => ([(1,5),(1,6),(5,4),(6,2),(6,3)],7) => 13
[5,7,3,6,1,2,4] => [6,1,7,3,5,2,4] => ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7) => 12
[5,7,3,6,2,4,1] => [4,6,7,3,5,2,1] => ([(2,6),(3,4),(3,6),(4,5)],7) => 16
[5,7,4,2,1,6,3] => [2,6,4,7,5,1,3] => ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7) => 12
[5,7,4,2,6,1,3] => [6,4,2,7,5,1,3] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 14
[5,7,4,2,6,3,1] => [3,6,4,7,5,2,1] => ([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 14
[5,7,4,3,2,1,6] => [2,3,4,7,5,1,6] => ([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7) => 7
[5,7,4,3,6,2,1] => [2,6,4,7,5,3,1] => ([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 13
[5,7,6,1,2,3,4] => [6,1,2,3,5,7,4] => ([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7) => 7
[5,7,6,2,3,1,4] => [3,6,2,1,5,7,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => 9
[5,7,6,2,4,1,3] => [4,6,2,1,5,7,3] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7) => 10
[5,7,6,3,1,4,2] => [4,3,6,1,5,7,2] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7) => 10
[5,7,6,3,2,4,1] => [4,3,6,2,5,7,1] => ([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 11
[5,7,6,4,3,1,2] => [3,1,4,6,5,7,2] => ([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7) => 7
[5,7,6,4,3,2,1] => [2,3,4,6,5,7,1] => ([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => 7
[6,1,2,5,4,7,3] => [7,1,5,6,2,4,3] => ([(1,5),(1,6),(5,4),(6,2),(6,3)],7) => 13
[6,1,2,7,5,4,3] => [4,1,5,7,6,2,3] => ([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7) => 10
[6,1,3,4,7,2,5] => [7,6,1,3,4,2,5] => ([(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 13
[6,1,3,5,2,7,4] => [7,5,1,6,3,2,4] => ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 14
[6,1,3,5,4,7,2] => [7,5,1,6,3,4,2] => ([(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 15
[6,1,3,5,7,2,4] => [7,6,1,3,2,5,4] => ([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 13
[6,1,3,7,2,4,5] => [7,6,1,3,2,4,5] => ([(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 12
[6,1,3,7,5,4,2] => [4,5,1,7,6,3,2] => ([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7) => 12
[6,1,4,2,5,3,7] => [5,4,6,1,2,3,7] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 10
[6,1,4,2,7,5,3] => [5,4,7,1,6,2,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7) => 13
[6,1,4,3,5,2,7] => [5,4,6,1,3,2,7] => ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => 11
[6,1,4,3,7,5,2] => [5,4,7,1,6,3,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => 14
[6,1,4,5,3,7,2] => [7,5,6,1,4,3,2] => ([(1,6),(2,3),(2,4),(2,5)],7) => 17
[6,1,5,2,3,7,4] => [7,5,1,6,2,3,4] => ([(1,6),(2,3),(2,6),(3,5),(5,4)],7) => 13
[6,1,5,4,7,2,3] => [7,5,1,6,2,4,3] => ([(1,6),(2,3),(2,6),(3,4),(3,5)],7) => 14
[6,1,5,7,2,3,4] => [7,6,1,2,3,5,4] => ([(2,5),(5,6),(6,3),(6,4)],7) => 12
[6,1,5,7,3,2,4] => [3,7,6,1,2,5,4] => ([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7) => 12
[6,1,7,4,2,5,3] => [5,4,7,6,1,2,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7) => 14
[6,1,7,4,3,5,2] => [5,4,7,6,1,3,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7) => 15
[6,2,1,5,3,7,4] => [2,7,5,6,1,3,4] => ([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7) => 12
[6,2,1,5,7,3,4] => [2,7,6,1,3,5,4] => ([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7) => 11
[6,2,1,7,3,5,4] => [2,5,7,6,1,3,4] => ([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7) => 11
[6,2,1,7,4,3,5] => [2,4,7,6,1,3,5] => ([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7) => 10
[6,2,1,7,5,4,3] => [2,4,5,7,6,1,3] => ([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7) => 10
[6,2,3,1,4,5,7] => [3,6,2,1,4,5,7] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7) => 7
[6,2,3,1,4,7,5] => [3,7,2,1,6,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 10
[6,2,3,4,5,7,1] => [7,6,2,3,4,5,1] => ([(3,4),(4,6),(6,5)],7) => 15
[6,2,3,5,4,7,1] => [7,5,2,6,3,4,1] => ([(2,6),(3,4),(3,6),(4,5)],7) => 16
[6,2,4,1,3,5,7] => [4,6,2,1,3,5,7] => ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => 8
[6,2,4,1,3,7,5] => [4,7,2,1,6,3,5] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7) => 11
[6,2,4,1,5,3,7] => [5,4,6,2,1,3,7] => ([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => 11
[6,2,4,1,5,7,3] => [7,4,6,2,1,5,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 15
[6,2,4,1,7,3,5] => [7,4,6,2,1,3,5] => ([(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 14
[6,2,4,1,7,5,3] => [5,4,7,2,6,1,3] => ([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7) => 14
[6,2,4,3,1,5,7] => [3,4,6,2,1,5,7] => ([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7) => 8
[6,2,4,3,5,1,7] => [5,4,6,2,3,1,7] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 12
[6,2,4,3,7,5,1] => [5,4,7,2,6,3,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 15
[6,2,4,5,1,3,7] => [5,6,2,1,4,3,7] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => 10
[6,2,4,5,3,7,1] => [7,5,6,2,4,3,1] => ([(2,6),(3,4),(3,5)],7) => 18
[6,2,4,5,7,1,3] => [7,6,2,1,4,5,3] => ([(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 14
[6,2,4,5,7,3,1] => [3,7,6,2,4,5,1] => ([(1,6),(2,3),(2,4),(2,6),(6,5)],7) => 14
[6,2,4,7,1,3,5] => [7,6,2,1,4,3,5] => ([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 13
[6,2,5,1,3,4,7] => [5,6,2,1,3,4,7] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 9
[6,2,5,1,3,7,4] => [7,5,2,6,1,3,4] => ([(1,6),(2,5),(3,5),(3,6),(6,4)],7) => 14
[6,2,5,1,4,3,7] => [4,5,6,2,1,3,7] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 10
[6,2,5,1,4,7,3] => [7,5,6,2,1,4,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 16
[6,2,5,1,7,3,4] => [7,5,6,2,1,3,4] => ([(1,6),(2,6),(3,4),(6,5)],7) => 15
[6,2,5,1,7,4,3] => [4,7,5,6,2,1,3] => ([(0,6),(1,6),(2,3),(2,4),(4,5)],7) => 15
[6,2,5,3,1,4,7] => [3,5,6,2,1,4,7] => ([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7) => 9
[6,2,5,3,1,7,4] => [3,7,5,6,2,1,4] => ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 14
[6,2,5,4,1,7,3] => [7,4,5,6,2,1,3] => ([(1,6),(2,6),(3,4),(4,5)],7) => 16
[6,2,5,4,3,1,7] => [3,4,5,6,2,1,7] => ([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => 9
[6,2,5,4,7,1,3] => [7,5,2,6,1,4,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 15
[6,2,5,4,7,3,1] => [3,7,5,6,2,4,1] => ([(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 15
[6,2,5,7,1,3,4] => [7,6,2,1,3,5,4] => ([(2,6),(3,6),(6,4),(6,5)],7) => 13
[6,2,5,7,1,4,3] => [4,7,6,2,1,5,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => 14
[6,2,5,7,3,1,4] => [3,7,6,2,1,5,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 13
[6,2,7,1,3,4,5] => [7,6,2,1,3,4,5] => ([(2,6),(3,6),(4,5),(6,4)],7) => 12
[6,2,7,1,4,3,5] => [4,7,6,2,1,3,5] => ([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7) => 13
[6,2,7,1,4,5,3] => [5,7,6,2,1,4,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7) => 15
[6,2,7,1,5,3,4] => [5,7,6,2,1,3,4] => ([(0,6),(1,6),(2,3),(2,4),(6,5)],7) => 14
[6,2,7,1,5,4,3] => [4,5,7,6,2,1,3] => ([(0,3),(1,6),(2,6),(3,4),(3,5)],7) => 14
[6,2,7,3,1,4,5] => [3,7,6,2,1,4,5] => ([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7) => 12
[6,2,7,3,1,5,4] => [3,5,7,6,2,1,4] => ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => 13
[6,2,7,4,1,5,3] => [5,4,7,6,2,1,3] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7) => 15
[6,2,7,4,3,1,5] => [3,4,7,6,2,1,5] => ([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 12
[6,2,7,4,3,5,1] => [5,4,7,6,2,3,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 16
[6,2,7,4,5,3,1] => [3,5,7,6,2,4,1] => ([(1,6),(2,3),(2,6),(3,4),(3,5)],7) => 14
[6,2,7,5,1,3,4] => [5,7,2,1,6,3,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7) => 12
[6,2,7,5,4,3,1] => [3,4,5,7,6,2,1] => ([(2,5),(5,6),(6,3),(6,4)],7) => 12
[6,3,1,4,2,5,7] => [4,3,6,1,2,5,7] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7) => 8
[6,3,1,5,4,2,7] => [4,3,5,6,1,2,7] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 9
[6,3,1,7,5,4,2] => [4,3,5,7,6,1,2] => ([(0,6),(1,6),(2,3),(6,4),(6,5)],7) => 12
[6,3,2,4,1,5,7] => [4,3,6,2,1,5,7] => ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 9
[6,3,2,4,1,7,5] => [4,3,7,2,6,1,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 12
[6,3,2,4,5,1,7] => [5,3,6,2,4,1,7] => ([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 11
[6,3,2,4,5,7,1] => [7,3,6,2,4,5,1] => ([(2,6),(3,4),(3,6),(6,5)],7) => 15
[6,3,2,5,1,4,7] => [5,3,6,2,1,4,7] => ([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7) => 10
[6,3,2,5,1,7,4] => [7,3,5,6,2,1,4] => ([(1,6),(2,6),(3,4),(3,6),(4,5)],7) => 15
[6,3,2,5,4,1,7] => [4,3,5,6,2,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 10
[6,3,2,5,4,7,1] => [7,3,5,6,2,4,1] => ([(2,6),(3,4),(3,6),(4,5)],7) => 16
[6,3,2,5,7,1,4] => [7,3,6,2,1,5,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 14
[6,3,2,5,7,4,1] => [4,3,7,6,2,5,1] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 14
[6,3,2,7,1,4,5] => [7,3,6,2,1,4,5] => ([(1,6),(2,6),(3,4),(3,6),(6,5)],7) => 13
[6,3,2,7,1,5,4] => [5,3,7,6,2,1,4] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 14
[6,3,2,7,4,1,5] => [4,3,7,6,2,1,5] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 13
[6,3,2,7,4,5,1] => [5,3,7,6,2,4,1] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 15
[6,3,2,7,5,1,4] => [5,3,7,2,6,1,4] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 13
[6,3,2,7,5,4,1] => [4,3,5,7,6,2,1] => ([(2,6),(3,6),(6,4),(6,5)],7) => 13
[6,3,4,1,5,2,7] => [5,4,6,3,1,2,7] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 12
[6,3,4,1,7,5,2] => [5,4,7,3,6,1,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 15
[6,3,4,2,5,1,7] => [5,4,6,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 13
[6,3,4,2,5,7,1] => [7,4,6,3,2,5,1] => ([(2,6),(3,6),(4,5),(4,6)],7) => 17
[6,3,4,2,7,1,5] => [7,4,6,3,2,1,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 16
[6,3,4,2,7,5,1] => [5,4,7,3,6,2,1] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 16
[6,3,4,5,2,1,7] => [2,5,6,3,4,1,7] => ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7) => 9
[6,3,4,5,2,7,1] => [7,5,6,3,4,2,1] => ([(3,6),(4,5)],7) => 19
[6,3,4,5,7,1,2] => [7,1,6,3,4,5,2] => ([(1,3),(1,4),(1,6),(5,2),(6,5)],7) => 13
[6,3,4,5,7,2,1] => [2,7,6,3,4,5,1] => ([(1,3),(1,4),(1,6),(5,2),(6,5)],7) => 13
[6,3,4,7,1,2,5] => [7,1,6,3,4,2,5] => ([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 12
[6,3,4,7,2,1,5] => [2,7,6,3,4,1,5] => ([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7) => 12
[6,3,4,7,2,5,1] => [5,7,6,3,4,2,1] => ([(2,6),(3,4),(3,5)],7) => 18
[6,3,4,7,5,2,1] => [2,5,7,3,6,4,1] => ([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7) => 12
[6,3,5,1,2,4,7] => [5,1,6,3,2,4,7] => ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7) => 8
[6,3,5,1,2,7,4] => [7,1,5,6,3,2,4] => ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => 13
[6,3,5,2,1,7,4] => [2,7,5,6,3,1,4] => ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7) => 13
[6,3,5,2,4,1,7] => [4,5,6,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 12
[6,3,5,2,4,7,1] => [7,5,6,3,2,4,1] => ([(2,6),(3,6),(4,5)],7) => 18
[6,3,5,2,7,1,4] => [7,5,6,3,2,1,4] => ([(1,6),(2,6),(3,6),(4,5)],7) => 17
[6,3,5,2,7,4,1] => [4,7,5,6,3,2,1] => ([(3,4),(3,5),(5,6)],7) => 17
[6,3,5,4,2,7,1] => [7,4,5,6,3,2,1] => ([(4,5),(5,6)],7) => 18
[6,3,5,4,7,1,2] => [7,1,5,6,3,4,2] => ([(1,4),(1,5),(1,6),(5,3),(6,2)],7) => 14
[6,3,5,4,7,2,1] => [2,7,5,6,3,4,1] => ([(1,4),(1,5),(1,6),(5,3),(6,2)],7) => 14
[6,3,5,7,1,2,4] => [7,1,6,3,2,5,4] => ([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => 12
[6,3,5,7,2,4,1] => [4,7,6,3,2,5,1] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 16
[6,3,5,7,4,2,1] => [2,4,7,6,3,5,1] => ([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => 12
[6,3,7,1,2,4,5] => [7,1,6,3,2,4,5] => ([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => 11
[6,3,7,2,1,4,5] => [2,7,6,3,1,4,5] => ([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7) => 11
[6,3,7,2,4,1,5] => [4,7,6,3,2,1,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 15
[6,3,7,2,4,5,1] => [5,7,6,3,2,4,1] => ([(1,6),(2,6),(3,4),(3,5)],7) => 17
[6,3,7,2,5,1,4] => [5,7,6,3,2,1,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5)],7) => 16
[6,3,7,2,5,4,1] => [4,5,7,6,3,2,1] => ([(3,4),(4,5),(4,6)],7) => 16
[6,3,7,4,1,5,2] => [5,4,7,6,3,1,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 16
[6,3,7,4,2,5,1] => [5,4,7,6,3,2,1] => ([(3,5),(3,6),(4,5),(4,6)],7) => 17
[6,3,7,4,5,2,1] => [2,5,7,6,3,4,1] => ([(1,5),(1,6),(5,4),(6,2),(6,3)],7) => 13
[6,3,7,5,4,1,2] => [4,1,5,7,6,3,2] => ([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7) => 11
[6,4,1,2,5,7,3] => [7,1,4,6,2,5,3] => ([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7) => 12
[6,4,1,3,5,2,7] => [5,4,1,6,3,2,7] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 10
[6,4,1,3,7,5,2] => [5,4,1,7,6,3,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 13
[6,4,1,5,2,3,7] => [5,4,1,6,2,3,7] => ([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7) => 9
[6,4,1,5,2,7,3] => [7,5,4,6,1,2,3] => ([(1,6),(2,6),(3,4),(4,5)],7) => 16
[6,4,1,5,3,7,2] => [7,5,4,6,1,3,2] => ([(1,6),(2,6),(3,4),(3,5)],7) => 17
[6,4,1,7,5,2,3] => [5,4,1,7,6,2,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => 12
[6,4,2,1,5,3,7] => [2,5,4,6,1,3,7] => ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7) => 8
[6,4,2,1,7,3,5] => [2,7,4,6,1,3,5] => ([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7) => 11
[6,4,2,1,7,5,3] => [2,5,4,7,6,1,3] => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => 11
[6,4,2,3,5,1,7] => [5,4,2,6,3,1,7] => ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 11
[6,4,2,3,7,5,1] => [5,4,2,7,6,3,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 14
[6,4,2,5,1,3,7] => [5,4,2,6,1,3,7] => ([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7) => 10
[6,4,2,5,1,7,3] => [7,5,4,6,2,1,3] => ([(1,6),(2,6),(3,5),(4,5)],7) => 17
[6,4,2,5,3,1,7] => [3,5,4,6,2,1,7] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => 10
[6,4,2,5,3,7,1] => [7,5,4,6,2,3,1] => ([(2,6),(3,6),(4,5)],7) => 18
[6,4,2,7,1,5,3] => [5,7,4,6,2,1,3] => ([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => 16
[6,4,2,7,3,1,5] => [3,7,4,6,2,1,5] => ([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 13
[6,4,2,7,5,1,3] => [5,4,2,7,6,1,3] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7) => 13
[6,4,2,7,5,3,1] => [3,5,4,7,6,2,1] => ([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 13
[6,4,3,1,2,7,5] => [3,1,4,7,6,2,5] => ([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7) => 8
[6,4,3,2,5,1,7] => [5,3,4,6,2,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => 11
[6,4,3,2,7,1,5] => [7,3,4,6,2,1,5] => ([(1,6),(2,6),(3,4),(4,5),(4,6)],7) => 14
[6,4,3,5,1,7,2] => [7,5,4,6,3,1,2] => ([(2,6),(3,6),(4,5)],7) => 18
[6,4,3,5,2,7,1] => [7,5,4,6,3,2,1] => ([(4,6),(5,6)],7) => 19
[6,4,3,5,7,1,2] => [7,1,4,6,3,5,2] => ([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 13
[6,4,3,5,7,2,1] => [2,7,4,6,3,5,1] => ([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 13
[6,4,3,7,1,2,5] => [7,1,4,6,3,2,5] => ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => 12
[6,4,3,7,2,1,5] => [2,7,4,6,3,1,5] => ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 12
[6,4,3,7,2,5,1] => [5,7,4,6,3,2,1] => ([(3,6),(4,5),(4,6)],7) => 18
[6,4,3,7,5,2,1] => [2,5,4,7,6,3,1] => ([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => 12
[6,4,5,1,2,7,3] => [7,1,5,6,4,2,3] => ([(1,4),(1,5),(1,6),(5,3),(6,2)],7) => 14
[6,4,5,1,3,7,2] => [7,5,1,6,4,3,2] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 16
[6,4,5,1,7,2,3] => [7,5,1,6,4,2,3] => ([(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 15
[6,4,5,2,1,7,3] => [2,7,5,6,4,1,3] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7) => 14
[6,4,5,2,3,7,1] => [7,5,2,6,4,3,1] => ([(2,6),(3,4),(3,5),(3,6)],7) => 17
[6,4,5,2,7,3,1] => [3,7,5,6,4,2,1] => ([(2,4),(2,5),(2,6),(6,3)],7) => 16
[6,4,5,3,2,7,1] => [7,3,5,6,4,2,1] => ([(3,4),(3,5),(5,6)],7) => 17
[6,4,5,3,7,1,2] => [7,1,5,6,4,3,2] => ([(1,3),(1,4),(1,5),(1,6),(6,2)],7) => 15
[6,4,5,3,7,2,1] => [2,7,5,6,4,3,1] => ([(1,3),(1,4),(1,5),(1,6),(6,2)],7) => 15
[6,4,7,2,1,5,3] => [2,5,7,6,4,1,3] => ([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7) => 13
[6,4,7,2,5,3,1] => [3,5,7,6,4,2,1] => ([(2,5),(2,6),(6,3),(6,4)],7) => 15
[6,4,7,3,2,1,5] => [2,3,7,6,4,1,5] => ([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7) => 10
[6,4,7,3,5,2,1] => [2,5,7,6,4,3,1] => ([(1,4),(1,5),(1,6),(6,2),(6,3)],7) => 14
[6,5,1,2,4,7,3] => [7,1,5,2,6,4,3] => ([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => 12
[6,5,2,3,1,4,7] => [3,5,2,1,6,4,7] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7) => 7
[6,5,2,4,1,3,7] => [4,5,2,1,6,3,7] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7) => 8
[6,5,2,4,7,1,3] => [7,5,2,1,6,4,3] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 14
[6,5,2,7,1,3,4] => [7,5,2,1,6,3,4] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 13
[6,5,3,1,4,2,7] => [4,3,5,1,6,2,7] => ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => 8
[6,5,3,1,7,4,2] => [4,3,7,5,6,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7) => 13
[6,5,3,2,4,1,7] => [4,3,5,2,6,1,7] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 9
[6,5,3,2,7,4,1] => [4,3,7,5,6,2,1] => ([(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 14
[6,5,3,4,7,1,2] => [7,1,5,3,6,4,2] => ([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 13
[6,5,3,4,7,2,1] => [2,7,5,3,6,4,1] => ([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 13
[6,5,3,7,1,2,4] => [7,1,5,3,6,2,4] => ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => 12
[6,5,4,1,3,7,2] => [7,4,1,5,6,3,2] => ([(1,6),(2,3),(2,4),(2,6),(6,5)],7) => 14
[6,5,4,1,7,2,3] => [7,4,1,5,6,2,3] => ([(1,6),(2,3),(2,6),(3,5),(6,4)],7) => 13
[6,5,4,2,3,1,7] => [3,4,2,5,6,1,7] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 7
[6,5,4,2,3,7,1] => [7,4,2,5,6,3,1] => ([(2,6),(3,4),(3,6),(6,5)],7) => 15
[6,5,4,2,7,1,3] => [7,4,2,5,6,1,3] => ([(1,6),(2,5),(3,5),(3,6),(6,4)],7) => 14
[6,5,4,3,2,7,1] => [7,3,4,5,6,2,1] => ([(3,4),(4,6),(6,5)],7) => 15
[6,5,4,3,7,1,2] => [7,1,4,5,6,3,2] => ([(1,3),(1,4),(1,6),(5,2),(6,5)],7) => 13
[6,5,4,3,7,2,1] => [2,7,4,5,6,3,1] => ([(1,3),(1,4),(1,6),(5,2),(6,5)],7) => 13
[6,5,7,1,2,3,4] => [7,1,2,3,6,5,4] => ([(1,5),(5,6),(6,2),(6,3),(6,4)],7) => 9
[6,5,7,1,3,2,4] => [3,7,1,2,6,5,4] => ([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => 10
[6,5,7,2,1,3,4] => [2,7,1,3,6,5,4] => ([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7) => 9
[6,5,7,3,4,2,1] => [2,4,7,3,6,5,1] => ([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => 11
[6,5,7,4,1,3,2] => [3,4,1,7,6,5,2] => ([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => 10
[6,5,7,4,3,1,2] => [3,1,4,7,6,5,2] => ([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7) => 9
[6,5,7,4,3,2,1] => [2,3,4,7,6,5,1] => ([(1,5),(5,6),(6,2),(6,3),(6,4)],7) => 9
[6,7,1,2,5,4,3] => [4,1,5,7,2,6,3] => ([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7) => 9
[6,7,1,4,2,5,3] => [5,4,7,1,2,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7) => 12
[6,7,1,4,3,5,2] => [5,4,7,1,3,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7) => 13
[6,7,2,1,4,3,5] => [2,4,7,1,3,6,5] => ([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7) => 8
[6,7,2,1,5,3,4] => [2,5,7,1,3,6,4] => ([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7) => 9
[6,7,2,3,1,4,5] => [3,7,2,1,4,6,5] => ([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7) => 9
[6,7,2,4,1,3,5] => [4,7,2,1,3,6,5] => ([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => 10
[6,7,2,4,1,5,3] => [5,4,7,2,1,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7) => 13
[6,7,2,4,3,1,5] => [3,4,7,2,1,6,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => 10
[6,7,2,4,3,5,1] => [5,4,7,2,3,6,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 14
[6,7,2,4,5,1,3] => [5,7,2,1,4,6,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7) => 12
[6,7,2,4,5,3,1] => [3,5,7,2,4,6,1] => ([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => 12
[6,7,2,5,1,3,4] => [5,7,2,1,3,6,4] => ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7) => 11
[6,7,2,5,1,4,3] => [4,5,7,2,1,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7) => 12
[6,7,2,5,3,1,4] => [3,5,7,2,1,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => 11
[6,7,3,1,5,4,2] => [4,3,5,7,1,6,2] => ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7) => 11
[6,7,3,2,4,1,5] => [4,3,7,2,1,6,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 11
[6,7,3,2,5,1,4] => [5,3,7,2,1,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 12
[6,7,3,2,5,4,1] => [4,3,5,7,2,6,1] => ([(1,6),(2,6),(3,5),(6,4),(6,5)],7) => 12
[6,7,3,4,1,5,2] => [5,4,7,3,1,6,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 14
[6,7,3,4,2,5,1] => [5,4,7,3,2,6,1] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 15
[6,7,3,5,2,4,1] => [4,5,7,3,2,6,1] => ([(1,6),(2,6),(3,4),(4,5),(4,6)],7) => 14
[6,7,3,5,4,1,2] => [4,1,5,7,3,6,2] => ([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7) => 10
[6,7,4,1,3,5,2] => [5,4,1,7,3,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => 12
[6,7,4,1,5,2,3] => [5,4,1,7,2,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => 11
[6,7,4,2,3,5,1] => [5,4,2,7,3,6,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 13
[6,7,4,2,5,1,3] => [5,4,2,7,1,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 12
[6,7,4,3,1,2,5] => [3,1,4,7,2,6,5] => ([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7) => 7
[6,7,4,3,5,2,1] => [2,5,4,7,3,6,1] => ([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 11
[6,7,5,1,2,4,3] => [4,1,5,2,7,6,3] => ([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7) => 8
[6,7,5,2,1,3,4] => [2,5,1,3,7,6,4] => ([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7) => 7
[6,7,5,3,1,4,2] => [4,3,5,1,7,6,2] => ([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => 10
[6,7,5,3,2,4,1] => [4,3,5,2,7,6,1] => ([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 11
[6,7,5,3,4,1,2] => [4,1,5,3,7,6,2] => ([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7) => 9
[7,1,2,4,6,5,3] => [5,1,6,2,7,4,3] => ([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7) => 10
[7,1,2,5,4,3,6] => [4,1,5,7,2,3,6] => ([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7) => 8
[7,1,2,5,6,3,4] => [6,1,7,2,3,5,4] => ([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7) => 10
[7,1,2,6,3,5,4] => [5,1,6,7,2,3,4] => ([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7) => 10
[7,1,2,6,4,5,3] => [5,1,6,7,2,4,3] => ([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7) => 11
[7,1,3,5,2,6,4] => [6,5,1,7,3,2,4] => ([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => 13
[7,1,3,5,4,6,2] => [6,5,1,7,3,4,2] => ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 14
[7,1,4,2,5,3,6] => [5,4,7,1,2,3,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => 11
[7,1,4,2,6,5,3] => [5,4,6,1,7,2,3] => ([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7) => 12
[7,1,4,3,5,2,6] => [5,4,7,1,3,2,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7) => 12
[7,1,4,3,6,5,2] => [5,4,6,1,7,3,2] => ([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7) => 13
[7,1,4,5,2,6,3] => [6,5,7,1,4,2,3] => ([(0,6),(1,6),(2,3),(2,4),(4,5)],7) => 15
[7,1,4,5,3,6,2] => [6,5,7,1,4,3,2] => ([(0,6),(1,6),(2,3),(2,4),(2,5)],7) => 16
[7,1,5,2,3,6,4] => [6,5,1,7,2,3,4] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7) => 12
[7,1,5,2,4,6,3] => [6,5,7,1,2,4,3] => ([(0,3),(1,6),(2,6),(3,4),(3,5)],7) => 14
[7,1,5,2,6,3,4] => [6,5,7,1,2,3,4] => ([(0,3),(1,6),(2,6),(3,5),(5,4)],7) => 13
[7,1,5,3,4,6,2] => [6,5,7,1,3,4,2] => ([(0,6),(1,6),(2,3),(2,4),(4,5)],7) => 15
[7,1,5,3,6,2,4] => [6,5,7,1,3,2,4] => ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7) => 14
[7,1,5,4,6,2,3] => [6,5,1,7,2,4,3] => ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => 13
[7,1,6,4,2,5,3] => [5,4,6,7,1,2,3] => ([(0,6),(1,6),(2,3),(3,5),(6,4)],7) => 13
[7,1,6,4,3,5,2] => [5,4,6,7,1,3,2] => ([(0,6),(1,6),(2,3),(2,4),(6,5)],7) => 14
[7,2,1,4,3,5,6] => [2,4,7,1,3,5,6] => ([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7) => 7
[7,2,1,5,3,6,4] => [2,6,5,7,1,3,4] => ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7) => 11
[7,2,1,5,4,3,6] => [2,4,5,7,1,3,6] => ([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7) => 8
[7,2,1,5,6,3,4] => [2,6,7,1,3,5,4] => ([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7) => 10
[7,2,1,6,3,5,4] => [2,5,6,7,1,3,4] => ([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7) => 10
[7,2,3,1,4,5,6] => [3,7,2,1,4,5,6] => ([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7) => 8
[7,2,3,1,4,6,5] => [3,6,2,1,7,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7) => 9
[7,2,3,5,1,6,4] => [6,5,2,7,3,1,4] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7) => 14
[7,2,3,5,4,6,1] => [6,5,2,7,3,4,1] => ([(1,6),(2,6),(3,4),(3,6),(4,5)],7) => 15
[7,2,4,1,3,5,6] => [4,7,2,1,3,5,6] => ([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7) => 9
[7,2,4,1,3,6,5] => [4,6,2,1,7,3,5] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => 10
[7,2,4,1,5,3,6] => [5,4,7,2,1,3,6] => ([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7) => 12
[7,2,4,1,5,6,3] => [6,4,7,2,1,5,3] => ([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7) => 14
[7,2,4,1,6,3,5] => [6,4,7,2,1,3,5] => ([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 13
[7,2,4,1,6,5,3] => [5,4,6,2,7,1,3] => ([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 13
[7,2,4,3,1,5,6] => [3,4,7,2,1,5,6] => ([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7) => 9
[7,2,4,3,5,1,6] => [5,4,7,2,3,1,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 13
[7,2,4,3,6,1,5] => [6,4,7,2,3,1,5] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7) => 14
[7,2,4,3,6,5,1] => [5,4,6,2,7,3,1] => ([(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 14
[7,2,4,5,1,3,6] => [5,7,2,1,4,3,6] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) => 11
[7,2,4,5,1,6,3] => [6,5,7,2,4,1,3] => ([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => 16
[7,2,4,5,3,6,1] => [6,5,7,2,4,3,1] => ([(1,6),(2,6),(3,4),(3,5)],7) => 17
[7,2,4,5,6,1,3] => [6,7,2,1,4,5,3] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7) => 13
[7,2,4,5,6,3,1] => [3,6,7,2,4,5,1] => ([(1,6),(2,3),(2,6),(3,5),(6,4)],7) => 13
[7,2,4,6,1,3,5] => [6,7,2,1,4,3,5] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7) => 12
[7,2,5,1,3,4,6] => [5,7,2,1,3,4,6] => ([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7) => 10
[7,2,5,1,3,6,4] => [6,5,2,7,1,3,4] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7) => 13
[7,2,5,1,4,3,6] => [4,5,7,2,1,3,6] => ([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7) => 11
[7,2,5,1,4,6,3] => [6,5,7,2,1,4,3] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7) => 15
[7,2,5,1,6,3,4] => [6,5,7,2,1,3,4] => ([(0,6),(1,6),(2,5),(3,5),(6,4)],7) => 14
[7,2,5,1,6,4,3] => [4,6,5,7,2,1,3] => ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7) => 14
[7,2,5,3,1,4,6] => [3,5,7,2,1,4,6] => ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7) => 10
[7,2,5,3,1,6,4] => [3,6,5,7,2,1,4] => ([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => 13
[7,2,5,3,4,6,1] => [6,5,7,2,3,4,1] => ([(1,6),(2,6),(3,4),(4,5)],7) => 16
[7,2,5,3,6,1,4] => [6,5,7,2,3,1,4] => ([(0,6),(1,5),(2,5),(3,4),(4,6)],7) => 15
[7,2,5,4,1,6,3] => [6,4,5,7,2,1,3] => ([(0,6),(1,5),(2,5),(3,4),(4,6)],7) => 15
[7,2,5,4,3,1,6] => [3,4,5,7,2,1,6] => ([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7) => 10
[7,2,5,4,6,1,3] => [6,5,2,7,1,4,3] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 14
[7,2,5,4,6,3,1] => [3,6,5,7,2,4,1] => ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 14
[7,2,5,6,1,3,4] => [6,7,2,1,3,5,4] => ([(0,6),(1,6),(2,3),(6,4),(6,5)],7) => 12
[7,2,5,6,1,4,3] => [4,6,7,2,1,5,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7) => 13
[7,2,5,6,3,1,4] => [3,6,7,2,1,5,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => 12
[7,2,6,1,3,4,5] => [6,7,2,1,3,4,5] => ([(0,6),(1,6),(2,3),(4,5),(6,4)],7) => 11
[7,2,6,1,4,3,5] => [4,6,7,2,1,3,5] => ([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7) => 12
[7,2,6,1,4,5,3] => [5,6,7,2,1,4,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7) => 14
[7,2,6,1,5,3,4] => [5,6,7,2,1,3,4] => ([(0,6),(1,6),(2,3),(3,5),(6,4)],7) => 13
[7,2,6,1,5,4,3] => [4,5,6,7,2,1,3] => ([(0,3),(1,6),(2,6),(3,5),(5,4)],7) => 13
[7,2,6,3,1,4,5] => [3,6,7,2,1,4,5] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7) => 11
[7,2,6,3,1,5,4] => [3,5,6,7,2,1,4] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7) => 12
[7,2,6,4,1,5,3] => [5,4,6,7,2,1,3] => ([(0,6),(1,6),(2,5),(3,5),(6,4)],7) => 14
[7,2,6,4,3,1,5] => [3,4,6,7,2,1,5] => ([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7) => 11
[7,2,6,4,3,5,1] => [5,4,6,7,2,3,1] => ([(1,6),(2,6),(3,4),(6,5)],7) => 15
[7,2,6,4,5,3,1] => [3,5,6,7,2,4,1] => ([(1,6),(2,3),(2,6),(3,5),(5,4)],7) => 13
[7,2,6,5,1,3,4] => [5,6,2,1,7,3,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7) => 11
[7,3,1,4,2,5,6] => [4,3,7,1,2,5,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7) => 9
[7,3,1,4,2,6,5] => [4,3,6,1,7,2,5] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => 10
[7,3,1,5,4,2,6] => [4,3,5,7,1,2,6] => ([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7) => 10
[7,3,1,5,6,4,2] => [4,3,6,7,1,5,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7) => 12
[7,3,1,6,4,2,5] => [4,3,6,7,1,2,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7) => 11
[7,3,1,6,5,4,2] => [4,3,5,6,7,1,2] => ([(0,6),(1,6),(2,3),(4,5),(6,4)],7) => 11
[7,3,2,4,1,5,6] => [4,3,7,2,1,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 10
[7,3,2,4,1,6,5] => [4,3,6,2,7,1,5] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 11
[7,3,2,4,5,1,6] => [5,3,7,2,4,1,6] => ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => 12
[7,3,2,4,5,6,1] => [6,3,7,2,4,5,1] => ([(1,6),(2,5),(3,5),(3,6),(6,4)],7) => 14
[7,3,2,4,6,1,5] => [6,3,7,2,4,1,5] => ([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7) => 13
[7,3,2,5,1,4,6] => [5,3,7,2,1,4,6] => ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => 11
[7,3,2,5,1,6,4] => [6,3,5,7,2,1,4] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7) => 14
[7,3,2,5,4,1,6] => [4,3,5,7,2,1,6] => ([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7) => 11
[7,3,2,5,6,1,4] => [6,3,7,2,1,5,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7) => 13
[7,3,2,5,6,4,1] => [4,3,6,7,2,5,1] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 13
[7,3,2,6,1,4,5] => [6,3,7,2,1,4,5] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7) => 12
[7,3,2,6,1,5,4] => [5,3,6,7,2,1,4] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7) => 13
[7,3,2,6,4,1,5] => [4,3,6,7,2,1,5] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 12
[7,3,2,6,4,5,1] => [5,3,6,7,2,4,1] => ([(1,6),(2,5),(3,5),(3,6),(6,4)],7) => 14
[7,3,2,6,5,1,4] => [5,3,6,2,7,1,4] => ([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7) => 12
[7,3,2,6,5,4,1] => [4,3,5,6,7,2,1] => ([(2,6),(3,6),(4,5),(6,4)],7) => 12
[7,3,4,1,5,2,6] => [5,4,7,3,1,2,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 13
[7,3,4,1,5,6,2] => [6,4,7,3,1,5,2] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7) => 15
[7,3,4,1,6,2,5] => [6,4,7,3,1,2,5] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7) => 14
[7,3,4,1,6,5,2] => [5,4,6,3,7,1,2] => ([(0,6),(1,5),(2,5),(3,4),(5,6)],7) => 14
[7,3,4,2,5,1,6] => [5,4,7,3,2,1,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 14
[7,3,4,2,5,6,1] => [6,4,7,3,2,5,1] => ([(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 16
[7,3,4,2,6,1,5] => [6,4,7,3,2,1,5] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 15
[7,3,4,2,6,5,1] => [5,4,6,3,7,2,1] => ([(2,6),(3,5),(4,5),(5,6)],7) => 15
[7,3,4,5,1,6,2] => [6,5,7,3,4,1,2] => ([(0,6),(1,6),(2,5),(3,4)],7) => 17
[7,3,4,5,2,1,6] => [2,5,7,3,4,1,6] => ([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7) => 10
[7,3,4,5,2,6,1] => [6,5,7,3,4,2,1] => ([(2,6),(3,6),(4,5)],7) => 18
[7,3,4,6,2,1,5] => [2,6,7,3,4,1,5] => ([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7) => 11
[7,3,4,6,5,1,2] => [5,1,6,3,7,4,2] => ([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7) => 11
[7,3,5,1,4,6,2] => [6,5,7,3,1,4,2] => ([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => 16
[7,3,5,1,6,2,4] => [6,5,7,3,1,2,4] => ([(0,6),(1,5),(2,5),(3,4),(4,6)],7) => 15
[7,3,5,2,4,1,6] => [4,5,7,3,2,1,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7) => 13
[7,3,5,2,4,6,1] => [6,5,7,3,2,4,1] => ([(1,6),(2,6),(3,5),(4,5)],7) => 17
[7,3,5,2,6,1,4] => [6,5,7,3,2,1,4] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => 16
[7,3,5,2,6,4,1] => [4,6,5,7,3,2,1] => ([(3,4),(3,5),(4,6),(5,6)],7) => 16
[7,3,5,4,1,2,6] => [4,1,5,7,3,2,6] => ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7) => 9
[7,3,5,4,6,1,2] => [6,1,5,7,3,4,2] => ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7) => 13
[7,3,5,4,6,2,1] => [2,6,5,7,3,4,1] => ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => 13
[7,3,5,6,1,2,4] => [6,1,7,3,2,5,4] => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => 11
[7,3,5,6,2,4,1] => [4,6,7,3,2,5,1] => ([(1,6),(2,6),(3,4),(3,6),(4,5)],7) => 15
[7,3,6,1,2,4,5] => [6,1,7,3,2,4,5] => ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7) => 10
[7,3,6,1,2,5,4] => [5,1,6,7,3,2,4] => ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7) => 11
[7,3,6,2,4,1,5] => [4,6,7,3,2,1,5] => ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7) => 14
[7,3,6,2,4,5,1] => [5,6,7,3,2,4,1] => ([(1,6),(2,6),(3,4),(4,5)],7) => 16
[7,3,6,2,5,1,4] => [5,6,7,3,2,1,4] => ([(0,6),(1,6),(2,6),(3,4),(4,5)],7) => 15
[7,3,6,2,5,4,1] => [4,5,6,7,3,2,1] => ([(3,4),(4,6),(6,5)],7) => 15
[7,3,6,4,1,5,2] => [5,4,6,7,3,1,2] => ([(1,6),(2,6),(3,4),(6,5)],7) => 15
[7,3,6,4,2,5,1] => [5,4,6,7,3,2,1] => ([(3,6),(4,6),(6,5)],7) => 16
[7,3,6,4,5,1,2] => [5,1,6,7,3,4,2] => ([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7) => 12
[7,3,6,5,1,2,4] => [5,1,6,3,7,2,4] => ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7) => 10
[7,4,1,3,5,2,6] => [5,4,1,7,3,2,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 11
[7,4,1,3,6,5,2] => [5,4,1,6,7,3,2] => ([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7) => 12
[7,4,1,5,2,3,6] => [5,4,1,7,2,3,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => 10
[7,4,1,5,2,6,3] => [6,5,4,7,1,2,3] => ([(0,6),(1,6),(2,6),(3,4),(4,5)],7) => 15
[7,4,1,5,3,6,2] => [6,5,4,7,1,3,2] => ([(0,6),(1,6),(2,6),(3,4),(3,5)],7) => 16
[7,4,1,6,5,2,3] => [5,4,1,6,7,2,3] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7) => 11
[7,4,2,1,5,3,6] => [2,5,4,7,1,3,6] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => 9
[7,4,2,1,6,3,5] => [2,6,4,7,1,3,5] => ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7) => 10
[7,4,2,1,6,5,3] => [2,5,4,6,7,1,3] => ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7) => 10
[7,4,2,3,5,1,6] => [5,4,2,7,3,1,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 12
[7,4,2,3,6,1,5] => [6,4,2,7,3,1,5] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 13
[7,4,2,3,6,5,1] => [5,4,2,6,7,3,1] => ([(1,6),(2,6),(3,4),(3,6),(6,5)],7) => 13
[7,4,2,5,1,3,6] => [5,4,2,7,1,3,6] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7) => 11
[7,4,2,5,1,6,3] => [6,5,4,7,2,1,3] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => 16
[7,4,2,5,3,1,6] => [3,5,4,7,2,1,6] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 11
[7,4,2,5,3,6,1] => [6,5,4,7,2,3,1] => ([(1,6),(2,6),(3,6),(4,5)],7) => 17
[7,4,2,5,6,1,3] => [6,4,2,7,1,5,3] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 13
[7,4,2,6,1,3,5] => [6,4,2,7,1,3,5] => ([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7) => 12
[7,4,2,6,1,5,3] => [5,6,4,7,2,1,3] => ([(0,6),(1,5),(2,5),(3,4),(4,6)],7) => 15
[7,4,2,6,3,1,5] => [3,6,4,7,2,1,5] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7) => 12
[7,4,2,6,5,1,3] => [5,4,2,6,7,1,3] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7) => 12
[7,4,2,6,5,3,1] => [3,5,4,6,7,2,1] => ([(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 12
[7,4,3,1,2,5,6] => [3,1,4,7,2,5,6] => ([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7) => 6
[7,4,3,2,5,1,6] => [5,3,4,7,2,1,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 12
[7,4,3,2,6,1,5] => [6,3,4,7,2,1,5] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7) => 13
[7,4,3,5,1,6,2] => [6,5,4,7,3,1,2] => ([(1,6),(2,6),(3,6),(4,5)],7) => 17
[7,4,3,5,2,6,1] => [6,5,4,7,3,2,1] => ([(3,6),(4,6),(5,6)],7) => 18
[7,4,3,5,6,2,1] => [2,6,4,7,3,5,1] => ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => 12
[7,4,3,6,5,1,2] => [5,1,4,6,7,3,2] => ([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7) => 11
[7,4,3,6,5,2,1] => [2,5,4,6,7,3,1] => ([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => 11
[7,4,5,1,2,6,3] => [6,1,5,7,4,2,3] => ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7) => 13
[7,4,5,1,3,6,2] => [6,5,1,7,4,3,2] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 15
[7,4,5,1,6,2,3] => [6,5,1,7,4,2,3] => ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 14
[7,4,5,2,1,6,3] => [2,6,5,7,4,1,3] => ([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7) => 13
[7,4,5,2,3,6,1] => [6,5,2,7,4,3,1] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 16
[7,4,5,2,6,1,3] => [6,5,2,7,4,1,3] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7) => 15
[7,4,5,2,6,3,1] => [3,6,5,7,4,2,1] => ([(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 15
[7,4,5,3,6,1,2] => [6,1,5,7,4,3,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 14
[7,4,5,3,6,2,1] => [2,6,5,7,4,3,1] => ([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 14
[7,4,6,1,2,5,3] => [5,1,6,7,4,2,3] => ([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7) => 12
[7,4,6,1,3,5,2] => [5,6,1,7,4,3,2] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7) => 14
[7,4,6,3,2,5,1] => [5,3,6,7,4,2,1] => ([(2,6),(3,4),(3,6),(6,5)],7) => 15
[7,4,6,3,5,1,2] => [5,1,6,7,4,3,2] => ([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7) => 13
[7,4,6,3,5,2,1] => [2,5,6,7,4,3,1] => ([(1,3),(1,4),(1,6),(5,2),(6,5)],7) => 13
[7,5,1,3,4,6,2] => [6,5,1,3,7,4,2] => ([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 13
[7,5,1,3,6,2,4] => [6,5,1,3,7,2,4] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7) => 12
[7,5,1,4,6,2,3] => [6,5,1,2,7,4,3] => ([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 12
[7,5,1,6,2,3,4] => [6,5,1,2,7,3,4] => ([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7) => 11
[7,5,2,3,1,4,6] => [3,5,2,1,7,4,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7) => 8
[7,5,2,3,4,6,1] => [6,5,2,3,7,4,1] => ([(1,6),(2,6),(3,4),(4,5),(4,6)],7) => 14
[7,5,2,3,6,1,4] => [6,5,2,3,7,1,4] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7) => 13
[7,5,2,4,1,3,6] => [4,5,2,1,7,3,6] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7) => 9
[7,5,2,4,1,6,3] => [6,4,5,2,7,1,3] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7) => 14
[7,5,2,4,6,1,3] => [6,5,2,1,7,4,3] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 13
[7,5,2,6,1,3,4] => [6,5,2,1,7,3,4] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 12
[7,5,3,1,4,2,6] => [4,3,5,1,7,2,6] => ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => 9
[7,5,3,1,6,4,2] => [4,3,6,5,7,1,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7) => 12
[7,5,3,2,4,1,6] => [4,3,5,2,7,1,6] => ([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 10
[7,5,3,2,6,1,4] => [6,3,5,2,7,1,4] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 13
[7,5,3,2,6,4,1] => [4,3,6,5,7,2,1] => ([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 13
[7,5,3,4,1,2,6] => [4,1,5,3,7,2,6] => ([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 8
[7,5,3,4,1,6,2] => [6,4,5,3,7,1,2] => ([(0,6),(1,6),(2,4),(3,5),(5,6)],7) => 15
[7,5,3,4,2,6,1] => [6,4,5,3,7,2,1] => ([(2,6),(3,6),(4,5),(5,6)],7) => 16
[7,5,3,4,6,1,2] => [6,1,5,3,7,4,2] => ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 12
[7,5,3,4,6,2,1] => [2,6,5,3,7,4,1] => ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => 12
[7,5,4,1,2,6,3] => [6,1,4,5,7,2,3] => ([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7) => 11
[7,5,4,2,6,1,3] => [6,4,2,5,7,1,3] => ([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7) => 13
[7,5,4,2,6,3,1] => [3,6,4,5,7,2,1] => ([(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 13
[7,5,4,3,6,1,2] => [6,1,4,5,7,3,2] => ([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7) => 12
[7,5,4,3,6,2,1] => [2,6,4,5,7,3,1] => ([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 12
[7,5,4,6,1,2,3] => [6,1,2,5,7,4,3] => ([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7) => 10
[7,5,6,2,1,3,4] => [2,6,1,3,7,5,4] => ([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7) => 8
[7,5,6,3,1,4,2] => [4,3,6,1,7,5,2] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7) => 11
[7,5,6,3,2,4,1] => [4,3,6,2,7,5,1] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 12
[7,6,1,2,5,3,4] => [5,1,6,2,3,7,4] => ([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7) => 8
[7,6,1,4,2,5,3] => [5,4,6,1,2,7,3] => ([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7) => 11
[7,6,1,4,3,5,2] => [5,4,6,1,3,7,2] => ([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7) => 12
[7,6,2,1,5,3,4] => [2,5,6,1,3,7,4] => ([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7) => 8
[7,6,2,3,1,4,5] => [3,6,2,1,4,7,5] => ([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 8
[7,6,2,4,1,3,5] => [4,6,2,1,3,7,5] => ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => 9
[7,6,2,4,1,5,3] => [5,4,6,2,1,7,3] => ([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7) => 12
[7,6,2,4,3,1,5] => [3,4,6,2,1,7,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7) => 9
[7,6,2,4,3,5,1] => [5,4,6,2,3,7,1] => ([(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 13
[7,6,2,4,5,1,3] => [5,6,2,1,4,7,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7) => 11
[7,6,2,4,5,3,1] => [3,5,6,2,4,7,1] => ([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => 11
[7,6,2,5,1,3,4] => [5,6,2,1,3,7,4] => ([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7) => 10
[7,6,2,5,1,4,3] => [4,5,6,2,1,7,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => 11
[7,6,2,5,3,1,4] => [3,5,6,2,1,7,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => 10
[7,6,2,5,4,3,1] => [3,4,5,6,2,7,1] => ([(1,3),(2,6),(3,5),(4,6),(5,4)],7) => 10
[7,6,3,1,4,2,5] => [4,3,6,1,2,7,5] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7) => 9
[7,6,3,1,5,4,2] => [4,3,5,6,1,7,2] => ([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7) => 10
[7,6,3,2,4,1,5] => [4,3,6,2,1,7,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 10
[7,6,3,2,4,5,1] => [5,3,6,2,4,7,1] => ([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 12
[7,6,3,2,5,1,4] => [5,3,6,2,1,7,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7) => 11
[7,6,3,2,5,4,1] => [4,3,5,6,2,7,1] => ([(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 11
[7,6,3,4,1,5,2] => [5,4,6,3,1,7,2] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 13
[7,6,3,4,2,5,1] => [5,4,6,3,2,7,1] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 14
[7,6,3,5,1,2,4] => [5,1,6,3,2,7,4] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => 9
[7,6,3,5,2,4,1] => [4,5,6,3,2,7,1] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 13
[7,6,4,1,3,5,2] => [5,4,1,6,3,7,2] => ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => 11
[7,6,4,1,5,2,3] => [5,4,1,6,2,7,3] => ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7) => 10
[7,6,4,2,3,5,1] => [5,4,2,6,3,7,1] => ([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 12
[7,6,4,2,5,1,3] => [5,4,2,6,1,7,3] => ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => 11
[7,6,4,3,5,1,2] => [5,1,4,6,3,7,2] => ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7) => 10
[7,6,4,3,5,2,1] => [2,5,4,6,3,7,1] => ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7) => 10
[7,6,5,1,2,4,3] => [4,1,5,2,6,7,3] => ([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7) => 7
[7,6,5,2,1,3,4] => [2,5,1,3,6,7,4] => ([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7) => 6
[7,6,5,2,3,1,4] => [3,5,2,1,6,7,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7) => 8
[7,6,5,2,4,1,3] => [4,5,2,1,6,7,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7) => 9
[7,6,5,3,1,4,2] => [4,3,5,1,6,7,2] => ([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7) => 9
[7,6,5,3,2,4,1] => [4,3,5,2,6,7,1] => ([(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 10
[7,6,5,3,4,1,2] => [4,1,5,3,6,7,2] => ([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7) => 8
[7,6,5,3,4,2,1] => [2,4,5,3,6,7,1] => ([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7) => 8
search for individual values
searching the database for the individual values of this statistic
/
search for generating function
searching the database for statistics with the same generating function
Generating function
click to show known generating functions
Search the OEIS for these generating functions
Search the Online Encyclopedia of Integer
Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,1 1,2,2,1 1,3,5,6,5,3,1 1,4,9,15,20,22,20,15,9,4,1 1,5,14,29,49,71,90,101,101,90,71,49,29,14,5,1
$F_{1} = 1$
$F_{2} = 1 + q$
$F_{3} = 1 + 2\ q + 2\ q^{2} + q^{3}$
$F_{4} = 1 + 3\ q + 5\ q^{2} + 6\ q^{3} + 5\ q^{4} + 3\ q^{5} + q^{6}$
$F_{5} = 1 + 4\ q + 9\ q^{2} + 15\ q^{3} + 20\ q^{4} + 22\ q^{5} + 20\ q^{6} + 15\ q^{7} + 9\ q^{8} + 4\ q^{9} + q^{10}$
$F_{6} = 1 + 5\ q + 14\ q^{2} + 29\ q^{3} + 49\ q^{4} + 71\ q^{5} + 90\ q^{6} + 101\ q^{7} + 101\ q^{8} + 90\ q^{9} + 71\ q^{10} + 49\ q^{11} + 29\ q^{12} + 14\ q^{13} + 5\ q^{14} + q^{15}$
Description
Number of pairs of incomparable elements in a finite poset.
For a finite poset $(P,\leq)$, this is the number of unordered pairs $\{x,y\} \in \binom{P}{2}$ with $x \not\leq y$ and $y \not\leq x$.
For a finite poset $(P,\leq)$, this is the number of unordered pairs $\{x,y\} \in \binom{P}{2}$ with $x \not\leq y$ and $y \not\leq x$.
Map
permutation poset
Description
Sends a permutation to its permutation poset.
For a permutation $\pi$ of length $n$, this poset has vertices
$$\{ (i,\pi(i))\ :\ 1 \leq i \leq n \}$$
and the cover relation is given by $(w, x) \leq (y, z)$ if $w \leq y$ and $x \leq z$.
For example, the permutation $[3,1,5,4,2]$ is mapped to the poset with cover relations
$$\{ (2, 1) \prec (5, 2),\ (2, 1) \prec (4, 4),\ (2, 1) \prec (3, 5),\ (1, 3) \prec (4, 4),\ (1, 3) \prec (3, 5) \}.$$
For a permutation $\pi$ of length $n$, this poset has vertices
$$\{ (i,\pi(i))\ :\ 1 \leq i \leq n \}$$
and the cover relation is given by $(w, x) \leq (y, z)$ if $w \leq y$ and $x \leq z$.
For example, the permutation $[3,1,5,4,2]$ is mapped to the poset with cover relations
$$\{ (2, 1) \prec (5, 2),\ (2, 1) \prec (4, 4),\ (2, 1) \prec (3, 5),\ (1, 3) \prec (4, 4),\ (1, 3) \prec (3, 5) \}.$$
Map
Clarke-Steingrimsson-Zeng
Description
The Clarke-Steingrimsson-Zeng map sending descents to excedances.
This is the map $\Phi$ in [1, sec.3]. In particular, it satisfies
$$ (des, Dbot, Ddif, Res)\pi = (exc, Ebot, Edif, Ine)\Phi(\pi), $$
where
This is the map $\Phi$ in [1, sec.3]. In particular, it satisfies
$$ (des, Dbot, Ddif, Res)\pi = (exc, Ebot, Edif, Ine)\Phi(\pi), $$
where
- $des$ is the number of descents, St000021The number of descents of a permutation.,
- $exc$ is the number of (strict) excedances, St000155The number of exceedances (also excedences) of a permutation.,
- $Dbot$ is the sum of the descent bottoms, St000154The sum of the descent bottoms of a permutation.,
- $Ebot$ is the sum of the excedance bottoms,
- $Ddif$ is the sum of the descent differences, St000030The sum of the descent differences of a permutations.,
- $Edif$ is the sum of the excedance differences (or depth), St000029The depth of a permutation.,
- $Res$ is the sum of the (right) embracing numbers,
- $Ine$ is the sum of the side numbers.
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!